%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM132+2 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n003.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 01:04:28 PM UTC 2026
% Result : Theorem 37.62s 7.33s
% Output : CNFRefutation 37.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 70 ( 18 unt; 0 def)
% Number of atoms : 228 ( 90 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 272 ( 114 ~; 113 |; 32 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 275 ( 0 sgn 261 !; 14 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0,X1,X2,X3,X4] :
( ( X1 = vapp(X2,X4)
& X0 = X3 )
=> ( ( visFreeVar(X0,X1)
=> ( visFreeVar(X3,X4)
| visFreeVar(X3,X2) ) )
& ( ( visFreeVar(X3,X4)
| visFreeVar(X3,X2) )
=> visFreeVar(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isFreeVar2) ).
fof(f28,axiom,
! [X0,X1] :
( vgensym(X1) = X0
=> ~ visFreeVar(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','gensym-is-fresh') ).
fof(f33,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( X2 = vabs(X7,X6,X9)
& X1 = X5
& X0 = X4 )
=> ( ( X8 = vgensym(vapp(vapp(X5,X9),vvar(X4)))
& visFreeVar(X7,X5)
& X4 != X7 )
=> ( X3 = vsubst(X0,X1,X2)
=> X3 = vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subst4) ).
fof(f47,axiom,
! [X0,X1,X2,X3] :
( ~ visFreeVar(X2,X3)
=> valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','alpha-equiv-subst-abs') ).
fof(f48,axiom,
! [X0,X1,X2,X3] :
( ( valphaEquivalent(X0,X2)
& vtcheck(X1,X0,X3) )
=> vtcheck(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','alpha-equiv-typing') ).
fof(f50,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7)
& vtcheck(X1,X3,X0)
& ~ visFreeVar(X4,X3)
& X2 != X4 )
=> vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-abs-2-gen') ).
fof(f51,axiom,
! [X0,X1,X2,X3] :
( X3 = vgensym(vapp(vapp(X0,X1),vvar(X2)))
=> X2 != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','fresh-unequal-var-3') ).
fof(f53,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6)
& vtcheck(X1,X3,X0)
& visFreeVar(X4,X3)
& X2 != X4 )
=> vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-subst-abs-3') ).
fof(f54,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6)
& vtcheck(X1,X3,X0)
& visFreeVar(X4,X3)
& X2 != X4 )
=> vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f72,plain,
! [X0,X1,X2,X3,X4] :
( vapp(X2,X4) != X1
| X0 != X3
| ( ( ~ visFreeVar(X0,X1)
| visFreeVar(X3,X4)
| visFreeVar(X3,X2) )
& ( ( ~ visFreeVar(X3,X4)
& ~ visFreeVar(X3,X2) )
| visFreeVar(X0,X1) ) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f73,plain,
! [X0,X1,X2,X3,X4] :
( vapp(X2,X4) != X1
| X0 != X3
| ( ( ~ visFreeVar(X0,X1)
| visFreeVar(X3,X4)
| visFreeVar(X3,X2) )
& ( ( ~ visFreeVar(X3,X4)
& ~ visFreeVar(X3,X2) )
| visFreeVar(X0,X1) ) ) ),
inference(flattening,[],[f72]) ).
fof(f93,plain,
! [X0,X1] :
( vgensym(X1) != X0
| ~ visFreeVar(X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( vabs(X7,X6,X9) != X2
| X1 != X5
| X0 != X4
| vgensym(vapp(vapp(X5,X9),vvar(X4))) != X8
| ~ visFreeVar(X7,X5)
| X4 = X7
| vsubst(X0,X1,X2) != X3
| X3 = vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9))) ),
inference(ennf_transformation,[],[f33]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( vabs(X7,X6,X9) != X2
| X1 != X5
| X0 != X4
| vgensym(vapp(vapp(X5,X9),vvar(X4))) != X8
| ~ visFreeVar(X7,X5)
| X4 = X7
| vsubst(X0,X1,X2) != X3
| X3 = vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9))) ),
inference(flattening,[],[f102]) ).
fof(f125,plain,
! [X0,X1,X2,X3] :
( visFreeVar(X2,X3)
| valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3))) ),
inference(ennf_transformation,[],[f47]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( ~ valphaEquivalent(X0,X2)
| ~ vtcheck(X1,X0,X3)
| vtcheck(X1,X2,X3) ),
inference(ennf_transformation,[],[f48]) ).
fof(f127,plain,
! [X0,X1,X2,X3] :
( ~ valphaEquivalent(X0,X2)
| ~ vtcheck(X1,X0,X3)
| vtcheck(X1,X2,X3) ),
inference(flattening,[],[f126]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7)
| ~ vtcheck(X1,X3,X0)
| visFreeVar(X4,X3)
| X2 = X4
| vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7) ),
inference(ennf_transformation,[],[f50]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7)
| ~ vtcheck(X1,X3,X0)
| visFreeVar(X4,X3)
| X2 = X4
| vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
! [X0,X1,X2,X3] :
( vgensym(vapp(vapp(X0,X1),vvar(X2))) != X3
| X2 != X3 ),
inference(ennf_transformation,[],[f51]) ).
fof(f134,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6)
& vtcheck(X1,X3,X0)
& visFreeVar(X4,X3)
& X2 != X4
& ~ vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6) ),
inference(ennf_transformation,[],[f54]) ).
fof(f135,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6)
& vtcheck(X1,X3,X0)
& visFreeVar(X4,X3)
& X2 != X4
& ~ vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6) ),
inference(flattening,[],[f134]) ).
fof(f174,plain,
( vtcheck(vbind(sK53,sK51,sK52),vabs(sK55,sK56,veabs),sK57)
& vtcheck(sK52,sK54,sK51)
& visFreeVar(sK55,sK54)
& sK53 != sK55
& ~ vtcheck(sK52,vsubst(sK53,sK54,vabs(sK55,sK56,veabs)),sK57) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51,sK52,sK53,sK54,sK55,sK56,sK57]),skolemize(X0,sK51),skolemize(X1,sK52),skolemize(X2,sK53),skolemize(X3,sK54),skolemize(X4,sK55),skolemize(X5,sK56),skolemize(X6,sK57)],[f135]) ).
fof(f196,plain,
! [X2,X3,X0,X1,X4] :
( vapp(X2,X4) != X1
| X0 != X3
| ~ visFreeVar(X3,X4)
| visFreeVar(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f197,plain,
! [X2,X3,X0,X1,X4] :
( vapp(X2,X4) != X1
| X0 != X3
| ~ visFreeVar(X3,X2)
| visFreeVar(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f227,plain,
! [X0,X1] :
( vgensym(X1) != X0
| ~ visFreeVar(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f232,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( vabs(X7,X6,X9) != X2
| X1 != X5
| X0 != X4
| vgensym(vapp(vapp(X5,X9),vvar(X4))) != X8
| ~ visFreeVar(X7,X5)
| X4 = X7
| vsubst(X0,X1,X2) != X3
| vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9))) = X3 ),
inference(cnf_transformation,[],[f103]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( visFreeVar(X2,X3)
| valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3))) ),
inference(cnf_transformation,[],[f125]) ).
fof(f288,plain,
! [X2,X3,X0,X1] :
( ~ valphaEquivalent(X0,X2)
| ~ vtcheck(X1,X0,X3)
| vtcheck(X1,X2,X3) ),
inference(cnf_transformation,[],[f127]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7)
| ~ vtcheck(X1,X3,X0)
| visFreeVar(X4,X3)
| X2 = X4
| vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7) ),
inference(cnf_transformation,[],[f131]) ).
fof(f291,plain,
! [X2,X3,X0,X1] :
( vgensym(vapp(vapp(X0,X1),vvar(X2))) != X3
| X2 != X3 ),
inference(cnf_transformation,[],[f132]) ).
fof(f293,plain,
vtcheck(vbind(sK53,sK51,sK52),vabs(sK55,sK56,veabs),sK57),
inference(cnf_transformation,[],[f174]) ).
fof(f294,plain,
vtcheck(sK52,sK54,sK51),
inference(cnf_transformation,[],[f174]) ).
fof(f295,plain,
visFreeVar(sK55,sK54),
inference(cnf_transformation,[],[f174]) ).
fof(f296,plain,
sK53 != sK55,
inference(cnf_transformation,[],[f174]) ).
fof(f297,plain,
~ vtcheck(sK52,vsubst(sK53,sK54,vabs(sK55,sK56,veabs)),sK57),
inference(cnf_transformation,[],[f174]) ).
fof(f319,plain,
! [X2,X3,X1,X4] :
( vapp(X2,X4) != X1
| ~ visFreeVar(X3,X2)
| visFreeVar(X3,X1) ),
inference(equality_resolution,[],[f197]) ).
fof(f320,plain,
! [X2,X3,X4] :
( ~ visFreeVar(X3,X2)
| visFreeVar(X3,vapp(X2,X4)) ),
inference(equality_resolution,[],[f319]) ).
fof(f321,plain,
! [X2,X3,X1,X4] :
( vapp(X2,X4) != X1
| ~ visFreeVar(X3,X4)
| visFreeVar(X3,X1) ),
inference(equality_resolution,[],[f196]) ).
fof(f322,plain,
! [X2,X3,X4] :
( ~ visFreeVar(X3,X4)
| visFreeVar(X3,vapp(X2,X4)) ),
inference(equality_resolution,[],[f321]) ).
fof(f347,plain,
! [X1] : ~ visFreeVar(vgensym(X1),X1),
inference(equality_resolution,[],[f227]) ).
fof(f366,plain,
! [X2,X0,X1,X8,X6,X9,X7,X4,X5] :
( vabs(X7,X6,X9) != X2
| X1 != X5
| X0 != X4
| vgensym(vapp(vapp(X5,X9),vvar(X4))) != X8
| ~ visFreeVar(X7,X5)
| X4 = X7
| vsubst(X0,X1,X2) = vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9))) ),
inference(equality_resolution,[],[f232]) ).
fof(f367,plain,
! [X2,X0,X1,X6,X9,X7,X4,X5] :
( vabs(X7,X6,X9) != X2
| X1 != X5
| X0 != X4
| ~ visFreeVar(X7,X5)
| X4 = X7
| vsubst(X0,X1,X2) = vsubst(X4,X5,vabs(vgensym(vapp(vapp(X5,X9),vvar(X4))),X6,vsubst(X7,vvar(vgensym(vapp(vapp(X5,X9),vvar(X4)))),X9))) ),
inference(equality_resolution,[],[f366]) ).
fof(f368,plain,
! [X2,X1,X6,X9,X7,X4,X5] :
( vabs(X7,X6,X9) != X2
| X1 != X5
| ~ visFreeVar(X7,X5)
| X4 = X7
| vsubst(X4,X5,vabs(vgensym(vapp(vapp(X5,X9),vvar(X4))),X6,vsubst(X7,vvar(vgensym(vapp(vapp(X5,X9),vvar(X4)))),X9))) = vsubst(X4,X1,X2) ),
inference(equality_resolution,[],[f367]) ).
fof(f369,plain,
! [X2,X6,X9,X7,X4,X5] :
( vabs(X7,X6,X9) != X2
| ~ visFreeVar(X7,X5)
| X4 = X7
| vsubst(X4,X5,vabs(vgensym(vapp(vapp(X5,X9),vvar(X4))),X6,vsubst(X7,vvar(vgensym(vapp(vapp(X5,X9),vvar(X4)))),X9))) = vsubst(X4,X5,X2) ),
inference(equality_resolution,[],[f368]) ).
fof(f370,plain,
! [X6,X9,X7,X4,X5] :
( ~ visFreeVar(X7,X5)
| X4 = X7
| vsubst(X4,X5,vabs(vgensym(vapp(vapp(X5,X9),vvar(X4))),X6,vsubst(X7,vvar(vgensym(vapp(vapp(X5,X9),vvar(X4)))),X9))) = vsubst(X4,X5,vabs(X7,X6,X9)) ),
inference(equality_resolution,[],[f369]) ).
fof(f381,plain,
! [X3,X0,X1] : vgensym(vapp(vapp(X0,X1),vvar(X3))) != X3,
inference(equality_resolution,[],[f291]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( visFreeVar(X0,vapp(X1,X2))
| ~ visFreeVar(X0,X1) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( visFreeVar(X0,vapp(X2,X1))
| ~ visFreeVar(X0,X1) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_94,plain,
! [X0: $i] : ~ visFreeVar(vgensym(X0),X0),
inference(cnf_transformation,[],[f347]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X2 )
| ( vsubst(X2,X1,vabs(vgensym(vapp(vapp(X1,X3),vvar(X2))),X4,vsubst(X0,vvar(vgensym(vapp(vapp(X1,X3),vvar(X2)))),X3))) = vsubst(X2,X1,vabs(X0,X4,X3)) )
| ~ visFreeVar(X0,X1) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( visFreeVar(X3,X2)
| valphaEquivalent(vabs(X0,X1,X2),vabs(X3,X1,vsubst(X0,vvar(X3),X2))) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( vtcheck(X0,X3,X2)
| ~ valphaEquivalent(X1,X3)
| ~ vtcheck(X0,X1,X2) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( visFreeVar(X3,X7)
| vtcheck(X2,vsubst(X0,X7,vabs(X3,X4,X5)),X6)
| ( X0 = X3 )
| ~ vtcheck(X2,X7,X1)
| ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,X5),X6) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_157,plain,
! [X0: $i,X1: $i,X2: $i] : vgensym(vapp(vapp(X0,X1),vvar(X2))) != X2,
inference(cnf_transformation,[],[f381]) ).
tcf(c_159,negated_conjecture,
~ vtcheck(sK52,vsubst(sK53,sK54,vabs(sK55,sK56,veabs)),sK57),
inference(cnf_transformation,[],[f297]) ).
tcf(c_160,negated_conjecture,
sK53 != sK55,
inference(cnf_transformation,[],[f296]) ).
tcf(c_161,negated_conjecture,
visFreeVar(sK55,sK54),
inference(cnf_transformation,[],[f295]) ).
tcf(c_162,negated_conjecture,
vtcheck(sK52,sK54,sK51),
inference(cnf_transformation,[],[f294]) ).
tcf(c_163,negated_conjecture,
vtcheck(vbind(sK53,sK51,sK52),vabs(sK55,sK56,veabs),sK57),
inference(cnf_transformation,[],[f293]) ).
tcf(c_18455,plain,
! [X0: $i,X1: $i] : ~ visFreeVar(vgensym(vapp(X0,X1)),X0),
inference(superposition,[status(thm)],[c_66,c_94]) ).
tcf(c_18456,plain,
! [X0: $i,X1: $i,X2: $i] : ~ visFreeVar(vgensym(vapp(vapp(X0,X1),X2)),X0),
inference(superposition,[status(thm)],[c_66,c_18455]) ).
tcf(c_18460,plain,
! [X0: $i,X1: $i,X2: $i] : ~ visFreeVar(vgensym(vapp(vapp(X0,X1),X2)),X1),
inference(superposition,[status(thm)],[c_67,c_18455]) ).
tcf(c_18565,plain,
! [X0: $i] :
( vtcheck(vbind(sK53,sK51,sK52),X0,sK57)
| ~ valphaEquivalent(vabs(sK55,sK56,veabs),X0) ),
inference(superposition,[status(thm)],[c_163,c_154]) ).
tcf(c_19726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( visFreeVar(X0,X3)
| vtcheck(sK52,vsubst(sK53,X3,vabs(X0,X1,X2)),sK57)
| ( X0 = sK53 )
| ~ vtcheck(sK52,X3,sK51)
| ~ valphaEquivalent(vabs(sK55,sK56,veabs),vabs(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_18565,c_156]) ).
tcf(c_19907,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sK55 )
| ( vsubst(X0,sK54,vabs(vgensym(vapp(vapp(sK54,X1),vvar(X0))),X2,vsubst(sK55,vvar(vgensym(vapp(vapp(sK54,X1),vvar(X0)))),X1))) = vsubst(X0,sK54,vabs(sK55,X2,X1)) ) ),
inference(superposition,[status(thm)],[c_161,c_99]) ).
tcf(c_19980,plain,
! [X0: $i,X1: $i] :
( visFreeVar(vgensym(vapp(vapp(sK54,X0),vvar(sK53))),sK54)
| vtcheck(sK52,vsubst(sK53,sK54,vabs(sK55,X1,X0)),sK57)
| ( sK53 = sK55 )
| ( vgensym(vapp(vapp(sK54,X0),vvar(sK53))) = sK53 )
| ~ vtcheck(sK52,sK54,sK51)
| ~ valphaEquivalent(vabs(sK55,sK56,veabs),vabs(vgensym(vapp(vapp(sK54,X0),vvar(sK53))),X1,vsubst(sK55,vvar(vgensym(vapp(vapp(sK54,X0),vvar(sK53)))),X0))) ),
inference(superposition,[status(thm)],[c_19907,c_19726]) ).
tcf(c_19981,plain,
! [X0: $i,X1: $i] :
( vtcheck(sK52,vsubst(sK53,sK54,vabs(sK55,X1,X0)),sK57)
| ~ valphaEquivalent(vabs(sK55,sK56,veabs),vabs(vgensym(vapp(vapp(sK54,X0),vvar(sK53))),X1,vsubst(sK55,vvar(vgensym(vapp(vapp(sK54,X0),vvar(sK53)))),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19980,c_18456,c_160,c_157,c_162]) ).
tcf(c_20011,plain,
( visFreeVar(vgensym(vapp(vapp(sK54,veabs),vvar(sK53))),veabs)
| vtcheck(sK52,vsubst(sK53,sK54,vabs(sK55,sK56,veabs)),sK57) ),
inference(superposition,[status(thm)],[c_153,c_19981]) ).
tcf(c_20015,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_20011,c_18460,c_159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM132+2 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 07:58:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 37.62/7.33 % SZS status Started for theBenchmark.p
% 37.62/7.33 % SZS status Theorem for theBenchmark.p
% 37.62/7.33
% 37.62/7.33 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 37.62/7.33
% 37.62/7.33 % ------ iProver source info
% 37.62/7.33
% 37.62/7.33 % git: date: 2026-07-19 20:42:38 +0200
% 37.62/7.33 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 37.62/7.33 % git: non_committed_changes: false
% 37.62/7.33
% 37.62/7.33 % ------ Parsing...
% 37.62/7.33 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 37.62/7.33
% 37.62/7.33 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 37.62/7.33
% 37.62/7.33 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 37.62/7.33
% 37.62/7.33 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 37.62/7.33 % ------ Proving...
% 37.62/7.33 % ------ Problem Properties
% 37.62/7.33
% 37.62/7.33 %
% 37.62/7.33 % clauses 110
% 37.62/7.33 % conjectures 5
% 37.62/7.33 % EPR 8
% 37.62/7.33 % Horn 86
% 37.62/7.33 % unary 22
% 37.62/7.33 % binary 62
% 37.62/7.33 % lits 244
% 37.62/7.33 % lits eq 103
% 37.62/7.33 % fd_pure 0
% 37.62/7.33 % fd_pseudo 0
% 37.62/7.33 % fd_cond 1
% 37.62/7.33 % fd_pseudo_cond 20
% 37.62/7.33 % AC symbols 0
% 37.62/7.33
% 37.62/7.33 % ------ Input Options Time Limit: Unbounded
% 37.62/7.33
% 37.62/7.33
% 37.62/7.33 % ------
% 37.62/7.33 % Current options:
% 37.62/7.33 % ------
% 37.62/7.33
% 37.62/7.33
% 37.62/7.33 %
% 37.62/7.33
% 37.62/7.33 % ------ Proving...
% 37.62/7.33 %
% 37.62/7.33
% 37.62/7.33 % SZS status Theorem for theBenchmark.p
% 37.62/7.33
% 37.62/7.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 37.62/7.34
% 37.62/7.34
%------------------------------------------------------------------------------