Script started on Fri 30 Oct 2015 02:24:50 PM CET
k[gebner@clogic89:~/gapt] master(+1/-0)* ± \[1m[34m[[mgebner[m[33m@[m[34mclogic89[m[32m:[m[1m~/gapt[m[1m[34m][m [31mmaster[m([35m+1/-0[m)[31m*[m [1m±[m sbt
[0m[[0minfo[0m] [0mLoading project definition from /home/gebner/gapt/project[0m
[0m[[0minfo[0m] [0mSet current project to gapt (in build file:/home/gebner/gapt/)[0m
> console
[0m[[0minfo[0m] [0mStarting scala interpreter...[0m
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import at.logic.gapt.examples._
import at.logic.gapt.expr._
import at.logic.gapt.expr.formula.fol._
import at.logic.gapt.expr.formula.hol._
import at.logic.gapt.formats.simple._
import at.logic.gapt.formats.prover9._
import at.logic.gapt.formats.hlk._
import at.logic.gapt.formats.tip._
import at.logic.gapt.formats.xml._
import XMLParser.XMLProofDatabaseParser
import at.logic.gapt.formats.llk._
import at.logic.gapt.grammars._
import at.logic.gapt.proofs.expansionTrees._
import at.logic.gapt.proofs.hoare._
import at.logic.gapt.proofs._
import at.logic.gapt.proofs.ceres._
import at.logic.gapt.proofs.ceres.clauseSets._
import at.logic.gapt.proofs.lkNew._
import at.logic.gapt.proofs.lk.base.RichOccSequent
import at.logic.gapt.cutintro._
import Deltas._
import at.logic.gapt.proofs.resolution._
import at.logi...Welcome to Scala version 2.11.7 (OpenJDK 64-Bit Server VM, Java 1.8.0_66-internal).
Type in expressions to have them evaluated.
Type :help for more information.

scala> :load poset-experiment.scala
Loading poset-experiment.scala...
import java.nio.file.{Paths, Files, Path}
import at.logic.gapt.algorithms.rewriting.NameReplacement
import at.logic.gapt.expr.formula.fol.FOLSubstitution
import at.logic.gapt.grammars.{findMinimalVectGrammar, findMinimalGrammar}
import at.logic.gapt.proofs.HOLSequent
import at.logic.gapt.proofs.expansionTrees._
import at.logic.gapt.proofs.lkNew._
import at.logic.gapt.formats.prover9.Prover9TermParserLadrStyle._
import at.logic.gapt.expr._
import at.logic.gapt.cutintro.{MaxSATMethod, CutIntroduction}
import at.logic.gapt.provers.maxsat.{ExternalMaxSATSolver, OpenWBO}
import at.logic.gapt.provers.sat.MiniSAT
import at.logic.gapt.provers.veriT.VeriT
import at.logic.gapt.utils.time
C: at.logic.gapt.expr.formula.fol.FOLFormula = ∀x.∀y.f(x,y)=f(y,x)
AS: at.logic.gapt.expr.formula.fol.FOLFormula = ∀u.∀v.(f(u,v)=u⊃(f(v,u)=v⊃u=v))
A: at.logic.gapt.expr.formula.fol.FOLFormula = ∀x.∀y.∀z.f(f(x,y),z)=f(x,f(y,z))
Tpo: at.logic.gapt.expr.formula.fol.FOLFormula = ∀x.∀y.∀z.(f(x,y)=x⊃(f(y,z)=y⊃f(x,z)=x))
trans: at.logic.gapt.proofs.lkNew.ForallRightRule
antisymm: at.logic.gapt.proofs.lkNew.ForallRightRule
lhs: at.logic.gapt.proofs.lkNew.LKProof
rhs: at.logic.gapt.proofs.lkNew.LKProof
pwc: at.logic.gapt.proofs.lkNew.CutRule
p: at.logic.gapt.proofs.lkNew.LKProof =
[p198] ∀x.∀y.∀z.((x=y∧y=z)⊃x=z), ∀x.∀y.(x=y⊃y=x), ∀x1.∀x2.∀y1.∀y2.((x1=y1∧x2=y2)⊃f(x1,x2)=f(y1,y2)), ∀x.x=x, ∀x.∀y.∀z.f(f(x,y),z)=f(x,f(y,z)), ∀x.∀y.f(x,y)=f(y,x) :- ((f(a,b)=a∧(f(b,c)=b∧f(c,a)=c))⊃(a=b∧b=c))    (ContractionLeftRule(p197, Ant(1), Ant(6)))
[p197] ∀x.∀y.(x=y⊃y=x), ∀x.∀y.∀z.((x=y∧y=z)⊃x=z), ∀x1.∀x2.∀y1.∀y2.((x1=y1∧x2=y2)⊃f(x1,x2)=f(y1,y2)), ∀x.x=x, ∀x.∀y.∀z.f(f(x,y),z)=f(x,f(y,z)), ∀x.∀y.f(x,y)=f(y,x), ∀x.∀y.∀z.((x=y∧y=z)⊃x=z) :- ((f(a,b)=a∧(f(b,c)=b∧f(c,a)=c))⊃(a=b∧b=c))    (ContractionLeftRule(p196, Ant(3), Ant(6)))
[p196] ∀x.∀y.∀z.((x=y∧y=z)⊃x=z), ∀x1.∀x2.∀y1.∀y2.((x1=y1∧x2=y2)⊃f(x1,x2)=f(y1,y2)), ∀x.x=x, ∀x.∀y.(x=y⊃y=x), ∀x.∀y.∀z.f(f(x,y),z)=f(x,f(y,z)), ∀x.∀y.f(x,y)=f(y,x), ∀x.∀y.(x=y⊃y=x), ∀x.∀y.∀z.((x=y∧y=z)⊃x=z) :- ((f(a,b)=a...terms: Set[at.logic.gapt.expr.formula.fol.FOLTerm] = Set(-{∀x.∀y.(x=y⊃y=x)}_a1(c,b), -{∀x.∀y.∀z.((x=y∧y=z)⊃x=z)}_a0(b,f(b,f(c,a)),f(f(b,c),a)), -{∀x.∀y.∀z.((x=y∧y=z)⊃x=z)}_a0(c,f(c,b),f(b,c)), -{∀x.∀y.(x=y⊃y=x)}_a1(b,f(b,a)), -{∀x1.∀x2.∀y1.∀y2.((x1=y1∧x2=y2)⊃f(x1,x2)=f(y1,y2))}_a2(c,a,c,f(a,b)), -{∀x.x=x}_a3(b), -{∀x.∀y.(x=y⊃y=x)}_a1(f(b,c),b), -{∀x.∀y.∀z.((x=y∧y=z)⊃x=z)}_a0(b,f(a,b),a), -{∀x.∀y.f(x,y)=f(y,x)}_a5(b,c), -{∀x.∀y.∀z.((x=y∧y=z)⊃x=z)}_a0(b,f(f(b,c),a),f(b,a)), -{∀x.∀y.(x=y⊃y=x)}_a1(c,f(c,b)), -{∀x.∀y.(x=y⊃y=x)}_a1(f(a,b),a), -{∀x.∀y.∀z.((x=y∧y=z)⊃x=z)}_a0(b,f(b,a),f(a,b)), -{∀x.∀y.∀z.((x=y∧y=z)⊃x=z)}_a0(c,f(f(c,a),b),f(c,b)), -{∀x.∀y.(x=y⊃y=x)}_a1(f(f(c,a),b),f(c,f(a,b))), -{∀x.∀y.∀z.f(f(x,y),z)=f(x,f(y,z))}_a4(b,c,a), -{∀x.∀y.∀z.f(f(x,y),z)=f(x,f(y,z))}_a4(c,a,b), {((f(a,b)=a∧(f(b,c)=b...c
c Open-WBO:	 a Modular MaxSAT Solver -- based on Glucose3.0 (core version)
c Version:	 1.3.1 -- 18 February 2015
c Authors:	 Ruben Martins, Vasco Manquinho, Ines Lynce
c Contributors:	 Saurabh Joshi
c Contact:	 open-wbo@sat.inesc-id.pt -- http://sat.inesc-id.pt/open-wbo/
c
c WARNING: for repeatability, setting FPU to use double precision
c |                                                                                                       |
c ========================================[ Problem Statistics ]===========================================
c |                                                                                                       |
c |  Problem Type:             Weighted                                                                   |
c |  Number of variables:             1                                                                   |
c |  Number of hard clauses:          1                                                                   |
c |  Number of soft clauses:          1                                                                   |
c |  Parse time:                   0.00 s                                                                 |
c |                                                                                                       |
c ==========================================[ Solver Settings ]============================================
c |                                                                                                       |
c |  Algorithm:                LinearSU                                                                   |
c |  BMO strategy:                   On                                                                   |
c |  BMO search:                    Yes                                                                   |
c |  Cardinality Encoding:    Totalizer                                                                   |
c |                                                                                                       |
o 10
c
c  Best solution:                    10
c  Total time:                     0.00 s
c  Nb SAT calls:                      1
c  Nb UNSAT calls:                    1
c  Average core size:              0.00
c  Nb symmetry clauses:               0
c
s OPTIMUM FOUND
v 1 

Total inferences in the input proof: 207
Quantifier inferences in the input proof: 73
End sequent: ∀x.∀y.∀z.((x=y∧y=z)⊃x=z), ∀x.∀y.(x=y⊃y=x), ∀x1.∀x2.∀y1.∀y2.((x1=y1∧x2=y2)⊃f(x1,x2)=f(y1,y2)), ∀x.x=x, ∀x.∀y.∀z.f(f(x,y),z)=f(x,f(y,z)), ∀x.∀y.f(x,y)=f(y,x) :- ((f(a,b)=a∧(f(b,c)=b∧f(c,a)=c))⊃(a=b∧b=c))
Size of term set: 35
c
c Open-WBO:	 a Modular MaxSAT Solver -- based on Glucose3.0 (core version)
c Version:	 1.3.1 -- 18 February 2015
c Authors:	 Ruben Martins, Vasco Manquinho, Ines Lynce
c Contributors:	 Saurabh Joshi
c Contact:	 open-wbo@sat.inesc-id.pt -- http://sat.inesc-id.pt/open-wbo/
c
c WARNING: for repeatability, setting FPU to use double precision
c |                                                                                                       |
c ========================================[ Problem Statistics ]===========================================
c |                                                                                                       |
c |  Problem Type:           Unweighted                                                                   |
c |  Number of variables:         21128                                                                   |
c |  Number of hard clauses:     171673                                                                   |
c |  Number of soft clauses:       2179                                                                   |
c |  Parse time:                   0.02 s                                                                 |
c |                                                                                                       |
c ==========================================[ Solver Settings ]============================================
c |                                                                                                       |
c |  Algorithm:                LinearSU                                                                   |
c |  Cardinality Encoding:    Totalizer                                                                   |
c |                                                                                                       |
o 81
o 50
o 49
o 48
o 47
o 46
o 45
o 43
o 41
o 40
o 39
o 37
o 36
o 35
o 34
o 33
o 32
o 31
o 30
o 29
o 28
o 27
o 26
o 25
o 24
o 22
c
c  Best solution:                    22
c  Total time:                215933.27 s
c  Nb SAT calls:                     26
c  Nb UNSAT calls:                    0
c  Average core size:              0.00
c  Nb symmetry clauses:               0
c
s SATISFIABLE
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Smallest grammar of size 22:
Axiom: (τ)
Non-terminal vectors:
  (τ)
  (α_0_0, α_0_1, α_0_2)
Productions:
  τ -> -{∀x.x=x}_a3(α_0_2)

  τ -> -{∀x.∀y.(x=y⊃y=x)}_a1(f(b,α_0_0),b)

  τ -> -{∀x.∀y.(x=y⊃y=x)}_a1(f(c,α_0_0),c)

  τ -> -{∀x.∀y.(x=y⊃y=x)}_a1(f(f(α_0_1,α_0_2),α_0_0),f(α_0_1,f(α_0_2,α_0_0)))

  τ -> -{∀x.∀y.(x=y⊃y=x)}_a1(f(α_0_1,α_0_0),f(α_0_0,α_0_1))

  τ -> -{∀x.∀y.(x=y⊃y=x)}_a1(α_0_0,f(α_0_0,α_0_2))

  τ -> -{∀x.∀y.(x=y⊃y=x)}_a1(α_0_2,α_0_1)

  τ -> -{∀x.∀y.f(x,y)=f(y,x)}_a5(α_0_2,α_0_0)

  τ -> -{∀x.∀y.∀z.((x=y∧y=z)⊃x=z)}_a0(α_0_0,f(f(α_0_0,α_0_1),α_0_2),f(α_0_0,α_0_2))

  τ -> -{∀x.∀y.∀z.((x=y∧y=z)⊃x=z)}_a0(α_0_0,f(α_0_0,f(α_0_1,α_0_2)),f(f(α_0_0,α_0_1),α_0_2))

  τ -> -{∀x.∀y.∀z.((x=y∧y=z)⊃x=z)}_a0(α_0_0,f(α_0_0,α_0_2),f(α_0_2,α_0_0))

  τ -> -{∀x.∀y.∀z.((x=y∧y=z)⊃x=z)}_a0(α_0_0,f(α_0_1,α_0_0),α_0_1)

  τ -> -{∀x.∀y.∀z.((x=y∧y=z)⊃x=z)}_a0(α_0_2,f(α_0_2,α_0_0),f(α_0_2,f(α_0_0,α_0_1)))

  τ -> -{∀x.∀y.∀z.f(f(x,y),z)=f(x,f(y,z))}_a4(α_0_2,α_0_0,α_0_1)

  τ -> -{∀x1.∀x2.∀y1.∀y2.((x1=y1∧x2=y2)⊃f(x1,x2)=f(y1,y2))}_a2(f(α_0_2,α_0_0),α_0_1,α_0_2,α_0_1)

  τ -> -{∀x1.∀x2.∀y1.∀y2.((x1=y1∧x2=y2)⊃f(x1,x2)=f(y1,y2))}_a2(α_0_2,α_0_0,α_0_2,f(α_0_0,α_0_1))

  τ -> {((f(a,b)=a∧(f(b,c)=b∧f(c,a)=c))⊃(a=b∧b=c))}_s0

  α_0_0 -> a
  α_0_1 -> b
  α_0_2 -> c

  α_0_0 -> b
  α_0_1 -> a
  α_0_2 -> f(a,b)

  α_0_0 -> b
  α_0_1 -> c
  α_0_2 -> a

  α_0_0 -> c
  α_0_1 -> a
  α_0_2 -> b

  α_0_0 -> c
  α_0_1 -> b
  α_0_2 -> f(f(c,a),b)


Size of the canonical solution: 74
Size of the minimized solution: 66
Minimized cut formulas:
∀α_0_0.∀α_0_1.∀α_0_2.((((((((((((f(f(α_0_2,α_0_0),α_0_1)=f(α_0_2,f(α_0_0,α_0_1))∧(f(c,α_0_0)=c⊃c=f(c,α_0_0)))∧(f(f(α_0_1,α_0_2),α_0_0)=f(α_0_1,f(α_0_2,α_0_0))⊃f(α_0_1,f(α_0_2,α_0_0))=f(f(α_0_1,α_0_2),α_0_0)))∧(α_0_2=α_0_1⊃α_0_1=α_0_2))∧((f(α_0_0,α_0_2)=f(α_0_2,α_0_0)⊃(f(f(α_0_0,α_0_1),α_0_2)=f(α_0_0,α_0_2)⊃(α_0_0=f(α_0_0,f(α_0_1,α_0_2))⊃f(α_0_0,f(α_0_1,α_0_2))≠f(f(α_0_0,α_0_1),α_0_2))))∨α_0_0=f(α_0_2,α_0_0)))∧(f(b,α_0_0)=b⊃b=f(b,α_0_0)))∧((α_0_2=f(α_0_2,α_0_0)⊃(α_0_2=α_0_2⊃α_0_0≠f(α_0_0,α_0_1)))∨α_0_2=f(α_0_2,f(α_0_0,α_0_1))))∧((α_0_0=f(α_0_1,α_0_0)⊃f(α_0_1,α_0_0)≠α_0_1)∨α_0_0=α_0_1))∧α_0_2=α_0_2)∧(f(α_0_1,α_0_0)=f(α_0_0,α_0_1)⊃f(α_0_0,α_0_1)=f(α_0_1,α_0_0)))∧((f(α_0_2,α_0_0)=α_0_2⊃α_0_1≠α_0_1)∨f(f(α_0_2,α_0_0),α_0_1)=f(α_0_2,α_0_1)))∧(α_0_0=f(α_0_0,α_0_2)⊃f(α_0_0,α_0_2)=α_0_0))∧f(α_0_2,α_0_0)=f(α_0_0,α_0_2))
java.lang.OutOfMemoryError: Java heap space
  at at.logic.gapt.expr.formula.determineTraits$.forApp(traits.scala:163)
  at at.logic.gapt.expr.App$.apply(typedLambdaCalculus.scala:244)
  at at.logic.gapt.algorithms.rewriting.TermReplacement$.apply(TermReplacement.scala:48)
  at at.logic.gapt.algorithms.rewriting.TermReplacement$.apply(TermReplacement.scala:48)
  at at.logic.gapt.algorithms.rewriting.TermReplacement$.apply(TermReplacement.scala:48)
  at at.logic.gapt.algorithms.rewriting.TermReplacement$.apply(TermReplacement.scala:48)
  at at.logic.gapt.algorithms.rewriting.TermReplacement$.apply(TermReplacement.scala:48)
  at at.logic.gapt.algorithms.rewriting.TermReplacement$.apply(TermReplacement.scala:32)
  at at.logic.gapt.provers.renameConstantsToFi$$anonfun$2$$anonfun$apply$1.apply(utils.scala:26)
  at at.logic.gapt.provers.renameConstantsToFi$$anonfun$2$$anonfun$apply$1.apply(utils.scala:26)
  at scala.collection.TraversableLike$$anonfun$map$1.apply(TraversableLike.scala:245)
  at scala.collection.TraversableLike$$anonfun$map$1.apply(TraversableLike.scala:245)
  at scala.collection.immutable.List.foreach(List.scala:381)
  at scala.collection.TraversableLike$class.map(TraversableLike.scala:245)
  at scala.collection.immutable.List.map(List.scala:285)
  at at.logic.gapt.proofs.Sequent.map(sequents.scala:244)
  at at.logic.gapt.proofs.Sequent.map(sequents.scala:232)
  at at.logic.gapt.provers.renameConstantsToFi$$anonfun$2.apply(utils.scala:26)
  at at.logic.gapt.provers.renameConstantsToFi$$anonfun$2.apply(utils.scala:26)
  at scala.collection.immutable.List.map(List.scala:277)
  at at.logic.gapt.provers.renameConstantsToFi$.apply(utils.scala:26)
  at at.logic.gapt.provers.ResolutionProver.withRenamedConstants(ResolutionProver.scala:14)
  at at.logic.gapt.provers.prover9.Prover9.getRobinsonProof(prover9.scala:24)
  at at.logic.gapt.provers.ResolutionProver.getRobinsonProof(ResolutionProver.scala:48)
  at at.logic.gapt.cutintro.CutIntroduction$$anonfun$compressToEHS$10.apply(CutIntroduction.scala:290)
  at at.logic.gapt.cutintro.CutIntroduction$$anonfun$compressToEHS$10.apply(CutIntroduction.scala:251)
  at scala.Option.map(Option.scala:146)
  at at.logic.gapt.cutintro.CutIntroduction$.compressToEHS(CutIntroduction.scala:251)
  at at.logic.gapt.cutintro.CutIntroduction$.compressToLK(CutIntroduction.scala:326)
  at at.logic.gapt.cutintro.CutIntroduction$.compressLKProof(CutIntroduction.scala:337)
  ... 2 elided

scala> 
[0m[[32msuccess[0m] [0mTotal time: 232213 s, completed Nov 2, 2015 6:55:09 AM[0m
> k[gebner@clogic89:~/gapt] master(+1/-0)* ± \[1m[34m[[mgebner[m[33m@[m[34mclogic89[m[32m:[m[1m~/gapt[m[1m[34m][m [31mmaster[m([35m+1/-0[m)[31m*[m [1m±[m exit

Script done on Mon 02 Nov 2015 06:55:10 AM CET
