%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM133+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 : n009.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 01:04:29 PM UTC 2026
% Result : Theorem 55.86s 9.37s
% Output : CNFRefutation 55.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 51 ( 14 unt; 0 def)
% Number of atoms : 165 ( 61 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 196 ( 82 ~; 88 |; 18 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 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 : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 251 ( 0 sgn 237 !; 14 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
fof(f32,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( X4 = vabs(X6,X7,X8)
& X3 = X0
& X2 = X1 )
=> ( X1 = X6
=> ( X5 = vsubst(X2,X3,X4)
=> X5 = vabs(X6,X7,X8) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',subst3) ).
fof(f59,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7)
& vtcheck(X1,X3,X0)
& X2 = X4 )
=> vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs-1') ).
fof(f60,axiom,
! [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/sandbox2/benchmark/theBenchmark.p','T-subst-abs-2') ).
fof(f61,axiom,
! [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/sandbox2/benchmark/theBenchmark.p','T-subst-abs-3') ).
fof(f62,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6)
& vtcheck(X1,X3,X0) )
=> vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs') ).
fof(f63,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6)
& vtcheck(X1,X3,X0) )
=> vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6) ),
inference(negated_conjecture,[status(cth)],[f62]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( vabs(X6,X7,X8) != X4
| X0 != X3
| X1 != X2
| X1 != X6
| vsubst(X2,X3,X4) != X5
| X5 = vabs(X6,X7,X8) ),
inference(ennf_transformation,[],[f32]) ).
fof(f112,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( vabs(X6,X7,X8) != X4
| X0 != X3
| X1 != X2
| X1 != X6
| vsubst(X2,X3,X4) != X5
| X5 = vabs(X6,X7,X8) ),
inference(flattening,[],[f111]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7)
| ~ vtcheck(X1,X3,X0)
| X2 != X4
| vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7) ),
inference(ennf_transformation,[],[f59]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7)
| ~ vtcheck(X1,X3,X0)
| X2 != X4
| vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7) ),
inference(flattening,[],[f156]) ).
fof(f158,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,[],[f60]) ).
fof(f159,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,[],[f158]) ).
fof(f160,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,[],[f61]) ).
fof(f161,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,[],[f160]) ).
fof(f162,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6)
& vtcheck(X1,X3,X0)
& ~ vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6) ),
inference(ennf_transformation,[],[f63]) ).
fof(f163,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6)
& vtcheck(X1,X3,X0)
& ~ vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6) ),
inference(flattening,[],[f162]) ).
fof(f226,plain,
( vtcheck(vbind(sK89,sK87,sK88),vabs(sK91,sK92,veabs),sK93)
& vtcheck(sK88,sK90,sK87)
& ~ vtcheck(sK88,vsubst(sK89,sK90,vabs(sK91,sK92,veabs)),sK93) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91,sK92,sK93]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90),skolemize(X4,sK91),skolemize(X5,sK92),skolemize(X6,sK93)],[f163]) ).
fof(f283,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( vabs(X6,X7,X8) != X4
| X0 != X3
| X1 != X2
| X1 != X6
| vsubst(X2,X3,X4) != X5
| vabs(X6,X7,X8) = X5 ),
inference(cnf_transformation,[],[f112]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7)
| ~ vtcheck(X1,X3,X0)
| X2 != X4
| vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7) ),
inference(cnf_transformation,[],[f157]) ).
fof(f380,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ 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(cnf_transformation,[],[f159]) ).
fof(f381,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ 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(cnf_transformation,[],[f161]) ).
fof(f382,plain,
vtcheck(vbind(sK89,sK87,sK88),vabs(sK91,sK92,veabs),sK93),
inference(cnf_transformation,[],[f226]) ).
fof(f383,plain,
vtcheck(sK88,sK90,sK87),
inference(cnf_transformation,[],[f226]) ).
fof(f384,plain,
~ vtcheck(sK88,vsubst(sK89,sK90,vabs(sK91,sK92,veabs)),sK93),
inference(cnf_transformation,[],[f226]) ).
fof(f448,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4] :
( vabs(X6,X7,X8) != X4
| X0 != X3
| X1 != X2
| X1 != X6
| vsubst(X2,X3,X4) = vabs(X6,X7,X8) ),
inference(equality_resolution,[],[f283]) ).
fof(f449,plain,
! [X2,X3,X0,X8,X6,X7,X4] :
( vabs(X6,X7,X8) != X4
| X0 != X3
| X2 != X6
| vsubst(X2,X3,X4) = vabs(X6,X7,X8) ),
inference(equality_resolution,[],[f448]) ).
fof(f450,plain,
! [X3,X0,X8,X6,X7,X4] :
( vabs(X6,X7,X8) != X4
| X0 != X3
| vabs(X6,X7,X8) = vsubst(X6,X3,X4) ),
inference(equality_resolution,[],[f449]) ).
fof(f451,plain,
! [X3,X8,X6,X7,X4] :
( vabs(X6,X7,X8) != X4
| vabs(X6,X7,X8) = vsubst(X6,X3,X4) ),
inference(equality_resolution,[],[f450]) ).
fof(f452,plain,
! [X3,X8,X6,X7] : vabs(X6,X7,X8) = vsubst(X6,X3,vabs(X6,X7,X8)),
inference(equality_resolution,[],[f451]) ).
fof(f496,plain,
! [X3,X0,X1,X6,X7,X4,X5] :
( ~ vtcheck(vbind(X4,X0,X1),vabs(X4,X5,X6),X7)
| ~ vtcheck(X1,X3,X0)
| vtcheck(X1,vsubst(X4,X3,vabs(X4,X5,X6)),X7) ),
inference(equality_resolution,[],[f379]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : vsubst(X0,X1,vabs(X0,X2,X3)) = vabs(X0,X2,X3),
inference(cnf_transformation,[],[f452]) ).
tcf(c_191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( vtcheck(X2,vsubst(X0,X6,vabs(X0,X3,X4)),X5)
| ~ vtcheck(X2,X6,X1)
| ~ vtcheck(vbind(X0,X1,X2),vabs(X0,X3,X4),X5) ),
inference(cnf_transformation,[],[f496]) ).
tcf(c_192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( visFreeVar(X3,X6)
| vtcheck(X2,vsubst(X0,X6,vabs(X3,X4,veabs)),X5)
| ( X0 = X3 )
| ~ vtcheck(X2,X6,X1)
| ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(cnf_transformation,[],[f380]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( vtcheck(X2,vsubst(X0,X6,vabs(X3,X4,veabs)),X5)
| ( X0 = X3 )
| ~ visFreeVar(X3,X6)
| ~ vtcheck(X2,X6,X1)
| ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(cnf_transformation,[],[f381]) ).
tcf(c_194,negated_conjecture,
~ vtcheck(sK88,vsubst(sK89,sK90,vabs(sK91,sK92,veabs)),sK93),
inference(cnf_transformation,[],[f384]) ).
tcf(c_195,negated_conjecture,
vtcheck(sK88,sK90,sK87),
inference(cnf_transformation,[],[f383]) ).
tcf(c_196,negated_conjecture,
vtcheck(vbind(sK89,sK87,sK88),vabs(sK91,sK92,veabs),sK93),
inference(cnf_transformation,[],[f382]) ).
tcf(c_326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,X6,X1)
| ( X0 = X3 )
| vtcheck(X2,vsubst(X0,X6,vabs(X3,X4,veabs)),X5) ),
inference(global_subsumption_just,[status(thm)],[c_192,c_192,c_193]) ).
tcf(c_327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( vtcheck(X2,vsubst(X0,X6,vabs(X3,X4,veabs)),X5)
| ( X0 = X3 )
| ~ vtcheck(X2,X6,X1)
| ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(renaming,[status(thm)],[c_326]) ).
tcf(c_331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( vtcheck(X2,vsubst(X0,X6,vabs(X3,X4,veabs)),X5)
| ( X0 = X3 )
| ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
| ~ vtcheck(X2,X6,X1) ),
inference(global_subsumption_just,[status(thm)],[c_193,c_327]) ).
tcf(c_332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( vtcheck(X2,vsubst(X0,X6,vabs(X3,X4,veabs)),X5)
| ( X0 = X3 )
| ~ vtcheck(X2,X6,X1)
| ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(renaming,[status(thm)],[c_331]) ).
tcf(c_839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( vtcheck(X2,vabs(X0,X3,X4),X5)
| ~ vtcheck(X2,X6,X1)
| ~ vtcheck(vbind(X0,X1,X2),vabs(X0,X3,X4),X5) ),
inference(demodulation,[status(thm)],[c_191,c_98]) ).
tcf(c_859,plain,
! [X0: $i] :
( vtcheck(sK88,vsubst(sK89,X0,vabs(sK91,sK92,veabs)),sK93)
| ( sK89 = sK91 )
| ~ vtcheck(sK88,X0,sK87) ),
inference(superposition,[status(thm)],[c_196,c_332]) ).
tcf(c_897,plain,
( ( sK89 = sK91 )
| ~ vtcheck(sK88,sK90,sK87) ),
inference(superposition,[status(thm)],[c_859,c_194]) ).
tcf(c_898,plain,
sK89 = sK91,
inference(global_subsumption_just,[status(thm)],[c_897,c_195,c_897]) ).
tcf(c_914,plain,
vtcheck(vbind(sK89,sK87,sK88),vabs(sK89,sK92,veabs),sK93),
inference(superposition,[status(thm)],[c_898,c_196]) ).
tcf(c_915,plain,
~ vtcheck(sK88,vsubst(sK89,sK90,vabs(sK89,sK92,veabs)),sK93),
inference(superposition,[status(thm)],[c_898,c_194]) ).
tcf(c_916,plain,
~ vtcheck(sK88,vabs(sK89,sK92,veabs),sK93),
inference(demodulation,[status(thm)],[c_915,c_98]) ).
tcf(c_1005,plain,
! [X0: $i] :
( vtcheck(sK88,vabs(sK89,sK92,veabs),sK93)
| ~ vtcheck(sK88,X0,sK87) ),
inference(superposition,[status(thm)],[c_914,c_839]) ).
tcf(c_1047,plain,
vtcheck(sK88,vabs(sK89,sK92,veabs),sK93),
inference(superposition,[status(thm)],[c_195,c_1005]) ).
tcf(c_1048,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1047,c_916]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM133+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n009.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 07:56:28 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 55.86/9.37 % SZS status Started for theBenchmark.p
% 55.86/9.37 % SZS status Theorem for theBenchmark.p
% 55.86/9.37
% 55.86/9.37 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 55.86/9.37
% 55.86/9.37 % ------ iProver source info
% 55.86/9.37
% 55.86/9.37 % git: date: 2026-07-19 20:42:38 +0200
% 55.86/9.37 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 55.86/9.37 % git: non_committed_changes: false
% 55.86/9.37
% 55.86/9.37 % ------ Parsing...
% 55.86/9.37 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 55.86/9.37
% 55.86/9.37 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e %
% 55.86/9.37
% 55.86/9.37 % ------ Preprocessing...%
% 55.86/9.37
% 55.86/9.37 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 55.86/9.37 % ------ Proving...
% 55.86/9.37 % ------ Problem Properties
% 55.86/9.37
% 55.86/9.37 %
% 55.86/9.37 % clauses 145
% 55.86/9.37 % conjectures 3
% 55.86/9.37 % EPR 5
% 55.86/9.37 % Horn 116
% 55.86/9.37 % unary 28
% 55.86/9.37 % binary 86
% 55.86/9.37 % lits 319
% 55.86/9.37 % lits eq 134
% 55.86/9.37 % fd_pure 0
% 55.86/9.37 % fd_pseudo 0
% 55.86/9.37 % fd_cond 3
% 55.86/9.37 % fd_pseudo_cond 21
% 55.86/9.37 % AC symbols 0
% 55.86/9.37
% 55.86/9.37 % ------ Input Options Time Limit: Unbounded
% 55.86/9.37
% 55.86/9.37
% 55.86/9.37 % ------
% 55.86/9.37 % Current options:
% 55.86/9.37 % ------
% 55.86/9.37
% 55.86/9.37
% 55.86/9.37 %
% 55.86/9.37
% 55.86/9.37 % ------ Proving...
% 55.86/9.37 %
% 55.86/9.37
% 55.86/9.37 % SZS status Theorem for theBenchmark.p
% 55.86/9.37
% 55.86/9.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 55.86/9.37
% 55.86/9.37
%------------------------------------------------------------------------------