%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM143+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:04:30 PM UTC 2026
% Result : Theorem 61.97s 14.08s
% Output : CNFRefutation 61.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 13
% Syntax : Number of formulae : 106 ( 35 unt; 4 def)
% Number of atoms : 398 ( 182 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 238 ( 67 ~; 114 |; 45 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-3 aty)
% Number of variables : 238 ( 0 sgn 182 !; 56 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( X0 = X1
=> vvar(X0) = vvar(X1) )
& ( vvar(X0) = vvar(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','EQ-var') ).
fof(f5,axiom,
! [X0,X1,X2] : vvar(X0) != vapp(X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-var-app') ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( X3 = vabs(X0,X1,X2)
=> visValue(X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isValue0) ).
fof(f8,axiom,
! [X0,X1] :
( X1 = vvar(X0)
=> ~ visValue(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isValue1) ).
fof(f18,axiom,
! [X0] : vnoType != vsomeType(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','DIFF-noType-someType') ).
fof(f24,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X3 = vbind(X1,X0,X6)
& X2 = X5 )
=> ( X5 != X1
=> ( X4 = vlookup(X2,X3)
=> X4 = vlookup(X5,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',lookup2) ).
fof(f51,axiom,
! [X0,X1,X2] :
( vlookup(X1,X0) = vsomeType(X2)
=> vtcheck(X0,vvar(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-var') ).
fof(f54,axiom,
! [X0,X1,X2] :
( vtcheck(X2,X0,X1)
=> ( ? [X7,X4,X8] :
( vtcheck(X2,X4,X8)
& vtcheck(X2,X7,varrow(X8,X1))
& X0 = vapp(X7,X4) )
| ? [X3,X4,X5,X6] :
( vtcheck(vbind(X3,X5,X2),X4,X6)
& X1 = varrow(X5,X6)
& X0 = vabs(X3,X5,X4) )
| ? [X3] :
( vlookup(X3,X2) = vsomeType(X1)
& X0 = vvar(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','T-inv') ).
fof(f55,conjecture,
! [X0,X1,X2,X3,X4] :
( ( vtcheck(X2,vvar(X3),X4)
& vlookup(X0,X2) = vnoType )
=> vtcheck(vbind(X0,X1,X2),vvar(X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-var') ).
fof(f56,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( vtcheck(X2,vvar(X3),X4)
& vlookup(X0,X2) = vnoType )
=> vtcheck(vbind(X0,X1,X2),vvar(X3),X4) ),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f63,plain,
! [X0,X1,X2] :
( vtcheck(X2,X0,X1)
=> ( ? [X8,X9,X10] :
( vtcheck(X2,X9,X10)
& vtcheck(X2,X8,varrow(X10,X1))
& vapp(X8,X9) = X0 )
| ? [X4,X5,X6,X7] :
( vtcheck(vbind(X4,X6,X2),X5,X7)
& varrow(X6,X7) = X1
& vabs(X4,X6,X5) = X0 )
| ? [X3] :
( vlookup(X3,X2) = vsomeType(X1)
& X0 = vvar(X3) ) ) ),
inference(rectify,[],[f54]) ).
fof(f64,plain,
! [X0,X1] :
( ( X0 != X1
| vvar(X0) = vvar(X1) )
& ( vvar(X0) != vvar(X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f69,plain,
! [X0,X1,X2,X3] :
( vabs(X0,X1,X2) != X3
| visValue(X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f70,plain,
! [X0,X1] :
( vvar(X0) != X1
| ~ visValue(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f89,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vbind(X1,X0,X6) != X3
| X2 != X5
| X1 = X5
| vlookup(X2,X3) != X4
| X4 = vlookup(X5,X6) ),
inference(ennf_transformation,[],[f24]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vbind(X1,X0,X6) != X3
| X2 != X5
| X1 = X5
| vlookup(X2,X3) != X4
| X4 = vlookup(X5,X6) ),
inference(flattening,[],[f89]) ).
fof(f135,plain,
! [X0,X1,X2] :
( vsomeType(X2) != vlookup(X1,X0)
| vtcheck(X0,vvar(X1),X2) ),
inference(ennf_transformation,[],[f51]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ~ vtcheck(X2,X0,X1)
| ? [X8,X9,X10] :
( vtcheck(X2,X9,X10)
& vtcheck(X2,X8,varrow(X10,X1))
& vapp(X8,X9) = X0 )
| ? [X4,X5,X6,X7] :
( vtcheck(vbind(X4,X6,X2),X5,X7)
& varrow(X6,X7) = X1
& vabs(X4,X6,X5) = X0 )
| ? [X3] :
( vlookup(X3,X2) = vsomeType(X1)
& X0 = vvar(X3) ) ),
inference(ennf_transformation,[],[f63]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ~ vtcheck(X2,X0,X1)
| ? [X8,X9,X10] :
( vtcheck(X2,X9,X10)
& vtcheck(X2,X8,varrow(X10,X1))
& vapp(X8,X9) = X0 )
| ? [X4,X5,X6,X7] :
( vtcheck(vbind(X4,X6,X2),X5,X7)
& varrow(X6,X7) = X1
& vabs(X4,X6,X5) = X0 )
| ? [X3] :
( vlookup(X3,X2) = vsomeType(X1)
& X0 = vvar(X3) ) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
? [X0,X1,X2,X3,X4] :
( vtcheck(X2,vvar(X3),X4)
& vlookup(X0,X2) = vnoType
& ~ vtcheck(vbind(X0,X1,X2),vvar(X3),X4) ),
inference(ennf_transformation,[],[f56]) ).
fof(f142,plain,
? [X0,X1,X2,X3,X4] :
( vtcheck(X2,vvar(X3),X4)
& vlookup(X0,X2) = vnoType
& ~ vtcheck(vbind(X0,X1,X2),vvar(X3),X4) ),
inference(flattening,[],[f141]) ).
fof(f204,plain,
! [X0,X1,X2] :
( ~ vtcheck(X2,X0,X1)
| sP12(X0,X1,X2)
| ( vtcheck(vbind(sK83(X0,X1,X2),sK85(X0,X1,X2),X2),sK84(X0,X1,X2),sK86(X0,X1,X2))
& varrow(sK85(X0,X1,X2),sK86(X0,X1,X2)) = X1
& vabs(sK83(X0,X1,X2),sK85(X0,X1,X2),sK84(X0,X1,X2)) = X0 )
| ( vsomeType(X1) = vlookup(sK82(X0,X1,X2),X2)
& vvar(sK82(X0,X1,X2)) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82,sK83,sK84,sK85,sK86]),skolemize(X3,sK82(X0,X1,X2)),skolemize(X4,sK83(X0,X1,X2)),skolemize(X5,sK84(X0,X1,X2)),skolemize(X6,sK85(X0,X1,X2)),skolemize(X7,sK86(X0,X1,X2))],[f159]) ).
fof(f205,plain,
( vtcheck(sK89,vvar(sK90),sK91)
& vnoType = vlookup(sK87,sK89)
& ~ vtcheck(vbind(sK87,sK88,sK89),vvar(sK90),sK91) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90),skolemize(X4,sK91)],[f142]) ).
fof(f207,plain,
! [X0,X1] :
( vvar(X0) != vvar(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f64]) ).
fof(f216,plain,
! [X2,X0,X1] : vvar(X0) != vapp(X1,X2),
inference(cnf_transformation,[],[f5]) ).
fof(f218,plain,
! [X2,X3,X0,X1] :
( vabs(X0,X1,X2) != X3
| visValue(X3) ),
inference(cnf_transformation,[],[f69]) ).
fof(f219,plain,
! [X0,X1] :
( vvar(X0) != X1
| ~ visValue(X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f238,plain,
! [X0] : vnoType != vsomeType(X0),
inference(cnf_transformation,[],[f18]) ).
fof(f244,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vbind(X1,X0,X6) != X3
| X2 != X5
| X1 = X5
| vlookup(X2,X3) != X4
| vlookup(X5,X6) = X4 ),
inference(cnf_transformation,[],[f90]) ).
fof(f342,plain,
! [X2,X0,X1] :
( vsomeType(X2) != vlookup(X1,X0)
| vtcheck(X0,vvar(X1),X2) ),
inference(cnf_transformation,[],[f135]) ).
fof(f349,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| sP12(X0,X1,X2)
| varrow(sK85(X0,X1,X2),sK86(X0,X1,X2)) = X1
| vsomeType(X1) = vlookup(sK82(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f204]) ).
fof(f350,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| sP12(X0,X1,X2)
| vabs(sK83(X0,X1,X2),sK85(X0,X1,X2),sK84(X0,X1,X2)) = X0
| vsomeType(X1) = vlookup(sK82(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f204]) ).
fof(f352,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| sP12(X0,X1,X2)
| varrow(sK85(X0,X1,X2),sK86(X0,X1,X2)) = X1
| vvar(sK82(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f204]) ).
fof(f353,plain,
! [X2,X0,X1] :
( ~ vtcheck(X2,X0,X1)
| sP12(X0,X1,X2)
| vabs(sK83(X0,X1,X2),sK85(X0,X1,X2),sK84(X0,X1,X2)) = X0
| vvar(sK82(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f204]) ).
fof(f354,plain,
vtcheck(sK89,vvar(sK90),sK91),
inference(cnf_transformation,[],[f205]) ).
fof(f355,plain,
vnoType = vlookup(sK87,sK89),
inference(cnf_transformation,[],[f205]) ).
fof(f356,plain,
~ vtcheck(vbind(sK87,sK88,sK89),vvar(sK90),sK91),
inference(cnf_transformation,[],[f205]) ).
fof(f363,plain,
! [X2,X0,X1] : visValue(vabs(X0,X1,X2)),
inference(equality_resolution,[],[f218]) ).
fof(f364,plain,
! [X0] : ~ visValue(vvar(X0)),
inference(equality_resolution,[],[f219]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X6,X5] :
( vbind(X1,X0,X6) != X3
| X2 != X5
| X1 = X5
| vlookup(X2,X3) = vlookup(X5,X6) ),
inference(equality_resolution,[],[f244]) ).
fof(f400,plain,
! [X3,X0,X1,X6,X5] :
( vbind(X1,X0,X6) != X3
| X1 = X5
| vlookup(X5,X6) = vlookup(X5,X3) ),
inference(equality_resolution,[],[f399]) ).
fof(f401,plain,
! [X0,X1,X6,X5] :
( X1 = X5
| vlookup(X5,X6) = vlookup(X5,vbind(X1,X0,X6)) ),
inference(equality_resolution,[],[f400]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( vvar(X0) != vvar(X1) ) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] : vapp(X0,X1) != vvar(X2),
inference(cnf_transformation,[],[f216]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] : visValue(vabs(X0,X1,X2)),
inference(cnf_transformation,[],[f363]) ).
tcf(c_59,plain,
! [X0: $i] : ~ visValue(vvar(X0)),
inference(cnf_transformation,[],[f364]) ).
tcf(c_74,plain,
! [X0: $i] : vsomeType(X0) != vnoType,
inference(cnf_transformation,[],[f238]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( vlookup(X0,vbind(X1,X2,X3)) = vlookup(X0,X3) ) ),
inference(cnf_transformation,[],[f401]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i] :
( vtcheck(X1,vvar(X0),X2)
| ( vlookup(X0,X1) != vsomeType(X2) ) ),
inference(cnf_transformation,[],[f342]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP12(X1,X2,X0)
| ( vvar(sK82(X1,X2,X0)) = X1 )
| ( vabs(sK83(X1,X2,X0),sK85(X1,X2,X0),sK84(X1,X2,X0)) = X1 )
| ~ vtcheck(X0,X1,X2) ),
inference(cnf_transformation,[],[f353]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP12(X1,X2,X0)
| ( vvar(sK82(X1,X2,X0)) = X1 )
| ( varrow(sK85(X1,X2,X0),sK86(X1,X2,X0)) = X2 )
| ~ vtcheck(X0,X1,X2) ),
inference(cnf_transformation,[],[f352]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP12(X1,X2,X0)
| ( vlookup(sK82(X1,X2,X0),X0) = vsomeType(X2) )
| ( vabs(sK83(X1,X2,X0),sK85(X1,X2,X0),sK84(X1,X2,X0)) = X1 )
| ~ vtcheck(X0,X1,X2) ),
inference(cnf_transformation,[],[f350]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP12(X1,X2,X0)
| ( vlookup(sK82(X1,X2,X0),X0) = vsomeType(X2) )
| ( varrow(sK85(X1,X2,X0),sK86(X1,X2,X0)) = X2 )
| ~ vtcheck(X0,X1,X2) ),
inference(cnf_transformation,[],[f349]) ).
tcf(c_187,negated_conjecture,
~ vtcheck(vbind(sK87,sK88,sK89),vvar(sK90),sK91),
inference(cnf_transformation,[],[f356]) ).
tcf(c_188,negated_conjecture,
vlookup(sK87,sK89) = vnoType,
inference(cnf_transformation,[],[f355]) ).
tcf(c_189,negated_conjecture,
vtcheck(sK89,vvar(sK90),sK91),
inference(cnf_transformation,[],[f354]) ).
tcf(c_13144,definition,
iPr_def_10 = vvar(sK90),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_13145,definition,
iPr_def_11 = vlookup(sK87,sK89),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_13146,definition,
iPr_def_12 = vbind(sK87,sK88,sK89),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_13147,negated_conjecture,
vtcheck(sK89,iPr_def_10,sK91),
inference(demodulation,[status(thm)],[c_189,c_13144]) ).
tcf(c_13148,negated_conjecture,
iPr_def_11 = vnoType,
inference(demodulation,[status(thm)],[c_188,c_13145]) ).
tcf(c_13149,negated_conjecture,
~ vtcheck(iPr_def_12,iPr_def_10,sK91),
inference(demodulation,[status(thm)],[c_187,c_13146]) ).
tcf(c_16143,plain,
~ visValue(iPr_def_10),
inference(superposition,[status(thm)],[c_13144,c_59]) ).
tcf(c_28133,plain,
( sP12(iPr_def_10,sK91,sK89)
| ( vvar(sK82(iPr_def_10,sK91,sK89)) = iPr_def_10 )
| ( vabs(sK83(iPr_def_10,sK91,sK89),sK85(iPr_def_10,sK91,sK89),sK84(iPr_def_10,sK91,sK89)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_13147,c_181]) ).
tcf(c_28232,plain,
( sP12(iPr_def_10,sK91,sK89)
| ( vlookup(sK82(iPr_def_10,sK91,sK89),sK89) = vsomeType(sK91) )
| ( vabs(sK83(iPr_def_10,sK91,sK89),sK85(iPr_def_10,sK91,sK89),sK84(iPr_def_10,sK91,sK89)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_13147,c_184]) ).
tcf(c_76283,plain,
( sP12(iPr_def_10,sK91,sK89)
| ( vvar(sK82(iPr_def_10,sK91,sK89)) = iPr_def_10 )
| ( varrow(sK85(iPr_def_10,sK91,sK89),sK86(iPr_def_10,sK91,sK89)) = sK91 ) ),
inference(superposition,[status(thm)],[c_13147,c_182]) ).
tcf(c_76811,plain,
( sP12(iPr_def_10,sK91,sK89)
| ( vlookup(sK82(iPr_def_10,sK91,sK89),sK89) = vsomeType(sK91) )
| ( varrow(sK85(iPr_def_10,sK91,sK89),sK86(iPr_def_10,sK91,sK89)) = sK91 ) ),
inference(superposition,[status(thm)],[c_13147,c_185]) ).
tcf(c_118068,plain,
! [X0: $i] : vsomeType(X0) != iPr_def_11,
inference(light_normalisation,[status(thm)],[c_74,c_13148]) ).
tcf(c_118126,plain,
! [X0: $i] :
( ( X0 = sK90 )
| ( vvar(X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_13144,c_49]) ).
tcf(c_118536,plain,
! [X0: $i] :
( ( X0 = sK87 )
| ( vlookup(X0,sK89) = vlookup(X0,iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_13146,c_80]) ).
tcf(c_128326,plain,
( sP12(iPr_def_10,sK91,sK89)
| ( vvar(sK82(iPr_def_10,sK91,sK89)) = iPr_def_10 )
| ( varrow(sK85(iPr_def_10,sK91,sK89),sK86(iPr_def_10,sK91,sK89)) = sK91 ) ),
inference(superposition,[status(thm)],[c_13147,c_182]) ).
tcf(c_128376,plain,
( sP12(iPr_def_10,sK91,sK89)
| ( vlookup(sK82(iPr_def_10,sK91,sK89),sK89) = vsomeType(sK91) )
| ( varrow(sK85(iPr_def_10,sK91,sK89),sK86(iPr_def_10,sK91,sK89)) = sK91 ) ),
inference(superposition,[status(thm)],[c_13147,c_185]) ).
fof(f158,definition,
! [X0,X1,X2] :
( ~ sP12(X0,X1,X2)
| ? [X8,X9,X10] :
( vtcheck(X2,X9,X10)
& vtcheck(X2,X8,varrow(X10,X1))
& vapp(X8,X9) = X0 ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f159,plain,
! [X0,X1,X2] :
( ~ vtcheck(X2,X0,X1)
| sP12(X0,X1,X2)
| ? [X4,X5,X6,X7] :
( vtcheck(vbind(X4,X6,X2),X5,X7)
& varrow(X6,X7) = X1
& vabs(X4,X6,X5) = X0 )
| ? [X3] :
( vlookup(X3,X2) = vsomeType(X1)
& X0 = vvar(X3) ) ),
inference(definition_folding,[],[f140,f158]) ).
fof(f201,plain,
! [X0,X1,X2] :
( ~ sP12(X0,X1,X2)
| ? [X8,X9,X10] :
( vtcheck(X2,X9,X10)
& vtcheck(X2,X8,varrow(X10,X1))
& vapp(X8,X9) = X0 ) ),
inference(nnf_transformation,[],[f158]) ).
fof(f202,plain,
! [X0,X1,X2] :
( ~ sP12(X0,X1,X2)
| ? [X3,X4,X5] :
( vtcheck(X2,X4,X5)
& vtcheck(X2,X3,varrow(X5,X1))
& vapp(X3,X4) = X0 ) ),
inference(rectify,[],[f201]) ).
fof(f203,plain,
! [X0,X1,X2] :
( ~ sP12(X0,X1,X2)
| ( vtcheck(X2,sK80(X0,X1,X2),sK81(X0,X1,X2))
& vtcheck(X2,sK79(X0,X1,X2),varrow(sK81(X0,X1,X2),X1))
& vapp(sK79(X0,X1,X2),sK80(X0,X1,X2)) = X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK79,sK80,sK81]),skolemize(X3,sK79(X0,X1,X2)),skolemize(X4,sK80(X0,X1,X2)),skolemize(X5,sK81(X0,X1,X2))],[f202]) ).
fof(f347,plain,
! [X2,X0,X1] :
( ~ sP12(X0,X1,X2)
| vapp(sK79(X0,X1,X2),sK80(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( vapp(sK79(X0,X1,X2),sK80(X0,X1,X2)) = X0 )
| ~ sP12(X0,X1,X2) ),
inference(cnf_transformation,[],[f347]) ).
tcf(c_28469,plain,
( ( vvar(sK82(iPr_def_10,sK91,sK89)) = iPr_def_10 )
| ( vapp(sK79(iPr_def_10,sK91,sK89),sK80(iPr_def_10,sK91,sK89)) = iPr_def_10 )
| ( vabs(sK83(iPr_def_10,sK91,sK89),sK85(iPr_def_10,sK91,sK89),sK84(iPr_def_10,sK91,sK89)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_28133,c_178]) ).
tcf(c_28479,plain,
( ( vlookup(sK82(iPr_def_10,sK91,sK89),sK89) = vsomeType(sK91) )
| ( vapp(sK79(iPr_def_10,sK91,sK89),sK80(iPr_def_10,sK91,sK89)) = iPr_def_10 )
| ( vabs(sK83(iPr_def_10,sK91,sK89),sK85(iPr_def_10,sK91,sK89),sK84(iPr_def_10,sK91,sK89)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_28232,c_178]) ).
tcf(c_28504,plain,
( visValue(iPr_def_10)
| ( vvar(sK82(iPr_def_10,sK91,sK89)) = iPr_def_10 )
| ( vapp(sK79(iPr_def_10,sK91,sK89),sK80(iPr_def_10,sK91,sK89)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_28469,c_58]) ).
tcf(c_28513,plain,
( ( vvar(sK82(iPr_def_10,sK91,sK89)) = iPr_def_10 )
| ( vapp(sK79(iPr_def_10,sK91,sK89),sK80(iPr_def_10,sK91,sK89)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28504,c_16143]) ).
tcf(c_28539,plain,
( visValue(iPr_def_10)
| ( vlookup(sK82(iPr_def_10,sK91,sK89),sK89) = vsomeType(sK91) )
| ( vapp(sK79(iPr_def_10,sK91,sK89),sK80(iPr_def_10,sK91,sK89)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_28479,c_58]) ).
tcf(c_28548,plain,
( ( vlookup(sK82(iPr_def_10,sK91,sK89),sK89) = vsomeType(sK91) )
| ( vapp(sK79(iPr_def_10,sK91,sK89),sK80(iPr_def_10,sK91,sK89)) = iPr_def_10 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28539,c_16143]) ).
tcf(c_76445,plain,
( ( vvar(sK82(iPr_def_10,sK91,sK89)) = iPr_def_10 )
| ( varrow(sK85(iPr_def_10,sK91,sK89),sK86(iPr_def_10,sK91,sK89)) = sK91 )
| ( vapp(sK79(iPr_def_10,sK91,sK89),sK80(iPr_def_10,sK91,sK89)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_76283,c_178]) ).
tcf(c_76449,plain,
( ( vvar(sK82(iPr_def_10,sK91,sK89)) = iPr_def_10 )
| ( vapp(sK79(iPr_def_10,sK91,sK89),sK80(iPr_def_10,sK91,sK89)) = iPr_def_10 ) ),
inference(global_subsumption_just,[status(thm)],[c_76445,c_28513]) ).
tcf(c_76471,plain,
! [X0: $i] :
( ( vvar(sK82(iPr_def_10,sK91,sK89)) = iPr_def_10 )
| ( vvar(X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_76449,c_56]) ).
tcf(c_76728,plain,
vvar(sK82(iPr_def_10,sK91,sK89)) = iPr_def_10,
inference(superposition,[status(thm)],[c_13144,c_76471]) ).
tcf(c_77047,plain,
( ( vlookup(sK82(iPr_def_10,sK91,sK89),sK89) = vsomeType(sK91) )
| ( varrow(sK85(iPr_def_10,sK91,sK89),sK86(iPr_def_10,sK91,sK89)) = sK91 )
| ( vapp(sK79(iPr_def_10,sK91,sK89),sK80(iPr_def_10,sK91,sK89)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_76811,c_178]) ).
tcf(c_77061,plain,
( ( vlookup(sK82(iPr_def_10,sK91,sK89),sK89) = vsomeType(sK91) )
| ( vapp(sK79(iPr_def_10,sK91,sK89),sK80(iPr_def_10,sK91,sK89)) = iPr_def_10 ) ),
inference(global_subsumption_just,[status(thm)],[c_77047,c_28548]) ).
tcf(c_77083,plain,
! [X0: $i] :
( ( vlookup(sK82(iPr_def_10,sK91,sK89),sK89) = vsomeType(sK91) )
| ( vvar(X0) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_77061,c_56]) ).
tcf(c_77358,plain,
vlookup(sK82(iPr_def_10,sK91,sK89),sK89) = vsomeType(sK91),
inference(superposition,[status(thm)],[c_13144,c_77083]) ).
tcf(c_128485,plain,
vvar(sK82(iPr_def_10,sK91,sK89)) = iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_128326,c_76728]) ).
tcf(c_128501,plain,
sK82(iPr_def_10,sK91,sK89) = sK90,
inference(superposition,[status(thm)],[c_128485,c_118126]) ).
tcf(c_128525,plain,
vvar(sK90) = iPr_def_10,
inference(demodulation,[status(thm)],[c_128485,c_128501]) ).
tcf(c_128536,plain,
vlookup(sK82(iPr_def_10,sK91,sK89),sK89) = vsomeType(sK91),
inference(global_subsumption_just,[status(thm)],[c_128376,c_77358]) ).
tcf(c_128538,plain,
vlookup(sK90,sK89) = vsomeType(sK91),
inference(light_normalisation,[status(thm)],[c_128536,c_128501]) ).
tcf(c_128562,plain,
( ( sK87 = sK90 )
| ( vlookup(sK90,iPr_def_12) = vsomeType(sK91) ) ),
inference(superposition,[status(thm)],[c_128538,c_118536]) ).
tcf(c_129728,plain,
! [X0: $i] :
( vtcheck(iPr_def_12,vvar(sK90),X0)
| ( sK87 = sK90 )
| ( vsomeType(X0) != vsomeType(sK91) ) ),
inference(superposition,[status(thm)],[c_128562,c_175]) ).
tcf(c_129733,plain,
! [X0: $i] :
( vtcheck(iPr_def_12,iPr_def_10,X0)
| ( sK87 = sK90 )
| ( vsomeType(X0) != vsomeType(sK91) ) ),
inference(light_normalisation,[status(thm)],[c_129728,c_128525]) ).
tcf(c_134134,plain,
( vtcheck(iPr_def_12,iPr_def_10,sK91)
| ( sK87 = sK90 ) ),
inference(equality_resolution,[status(thm)],[c_129733]) ).
tcf(c_134135,plain,
sK87 = sK90,
inference(forward_subsumption_resolution,[status(thm)],[c_134134,c_13149]) ).
tcf(c_134164,plain,
vlookup(sK87,sK89) = vsomeType(sK91),
inference(demodulation,[status(thm)],[c_128538,c_134135]) ).
tcf(c_134207,plain,
vsomeType(sK91) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_134164,c_13145]) ).
tcf(c_134208,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_134207,c_118068]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM143+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n020.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 07:55:50 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.46 % Proving...
% 61.97/14.08 % SZS status Started for theBenchmark.p
% 61.97/14.08 % SZS status Theorem for theBenchmark.p
% 61.97/14.08
% 61.97/14.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 61.97/14.08
% 61.97/14.08 % ------ iProver source info
% 61.97/14.08
% 61.97/14.08 % git: date: 2026-07-19 20:42:38 +0200
% 61.97/14.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 61.97/14.08 % git: non_committed_changes: false
% 61.97/14.08
% 61.97/14.08 % ------ Parsing...
% 61.97/14.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 61.97/14.08
% 61.97/14.08 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 61.97/14.08
% 61.97/14.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 61.97/14.08
% 61.97/14.08 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 61.97/14.08 % ------ Proving...
% 61.97/14.08 % ------ Problem Properties
% 61.97/14.08
% 61.97/14.08 %
% 61.97/14.08 % clauses 140
% 61.97/14.08 % conjectures 3
% 61.97/14.08 % EPR 6
% 61.97/14.08 % Horn 114
% 61.97/14.08 % unary 29
% 61.97/14.08 % binary 86
% 61.97/14.08 % lits 299
% 61.97/14.08 % lits eq 136
% 61.97/14.08 % fd_pure 0
% 61.97/14.08 % fd_pseudo 0
% 61.97/14.08 % fd_cond 3
% 61.97/14.08 % fd_pseudo_cond 20
% 61.97/14.08 % AC symbols 0
% 61.97/14.08
% 61.97/14.08 % ------ Schedule dynamic 5 is on
% 61.97/14.08
% 61.97/14.08 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 61.97/14.08
% 61.97/14.08
% 61.97/14.08 % ------
% 61.97/14.08 % Current options:
% 61.97/14.08 % ------
% 61.97/14.08
% 61.97/14.08
% 61.97/14.08 %
% 61.97/14.08
% 61.97/14.08 % ------ Proving...
% 61.97/14.08 % Proof_search_loop: time out after: 3180 full_loop iterations
% 61.97/14.08
% 61.97/14.08 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 61.97/14.08
% 61.97/14.08
% 61.97/14.08 % ------
% 61.97/14.08 % Current options:
% 61.97/14.08 % ------
% 61.97/14.08
% 61.97/14.08
% 61.97/14.08 %
% 61.97/14.08
% 61.97/14.08 % ------ Proving...
% 61.97/14.08 %
% 61.97/14.08
% 61.97/14.08 % SZS status Theorem for theBenchmark.p
% 61.97/14.08
% 61.97/14.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 61.97/14.09
% 61.97/14.09
%------------------------------------------------------------------------------