%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM125+1 : 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 : 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 01:04:27 PM UTC 2026
% Result : Theorem 3.88s 1.29s
% Output : CNFRefutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 42 ( 13 unt; 0 def)
% Number of atoms : 125 ( 37 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 146 ( 63 ~; 56 |; 20 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 2 ( 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 : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 151 ( 0 sgn 139 !; 12 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( X2 = vabs(X3,X0,X5)
& X1 = X4 )
=> ( ( visFreeVar(X1,X2)
=> ( visFreeVar(X4,X5)
& X3 != X4 ) )
& ( ( visFreeVar(X4,X5)
& X3 != X4 )
=> visFreeVar(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/COM001+0.ax',isFreeVar1) ).
fof(f58,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& X0 != X3 )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-1') ).
fof(f59,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& X0 = X3 )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-2') ).
fof(f60,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs)) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-FreeVar-abs') ).
fof(f61,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs)) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(negated_conjecture,[status(cth)],[f60]) ).
fof(f79,plain,
! [X0,X1,X2,X3,X4,X5] :
( vabs(X3,X0,X5) != X2
| X1 != X4
| ( ( ~ visFreeVar(X1,X2)
| ( visFreeVar(X4,X5)
& X3 != X4 ) )
& ( ~ visFreeVar(X4,X5)
| X3 = X4
| visFreeVar(X1,X2) ) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f80,plain,
! [X0,X1,X2,X3,X4,X5] :
( vabs(X3,X0,X5) != X2
| X1 != X4
| ( ( ~ visFreeVar(X1,X2)
| ( visFreeVar(X4,X5)
& X3 != X4 ) )
& ( ~ visFreeVar(X4,X5)
| X3 = X4
| visFreeVar(X1,X2) ) ) ),
inference(flattening,[],[f79]) ).
fof(f152,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 = X3
| vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(ennf_transformation,[],[f58]) ).
fof(f153,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 = X3
| vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(flattening,[],[f152]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 != X3
| vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(ennf_transformation,[],[f59]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 != X3
| vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
? [X0,X1,X2,X3,X4,X5] :
( vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(ennf_transformation,[],[f61]) ).
fof(f157,plain,
? [X0,X1,X2,X3,X4,X5] :
( vtcheck(X2,vabs(X3,X4,veabs),X5)
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(flattening,[],[f156]) ).
fof(f220,plain,
( vtcheck(sK89,vabs(sK90,sK91,veabs),sK92)
& ~ visFreeVar(sK87,vabs(sK90,sK91,veabs))
& ~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91,sK92]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90),skolemize(X4,sK91),skolemize(X5,sK92)],[f157]) ).
fof(f239,plain,
! [X2,X3,X0,X1,X4,X5] :
( vabs(X3,X0,X5) != X2
| X1 != X4
| ~ visFreeVar(X1,X2)
| X3 != X4 ),
inference(cnf_transformation,[],[f80]) ).
fof(f240,plain,
! [X2,X3,X0,X1,X4,X5] :
( vabs(X3,X0,X5) != X2
| X1 != X4
| ~ visFreeVar(X4,X5)
| X3 = X4
| visFreeVar(X1,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f372,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 = X3
| vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(cnf_transformation,[],[f153]) ).
fof(f373,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X0,vabs(X3,X4,veabs))
| X0 != X3
| vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(cnf_transformation,[],[f155]) ).
fof(f374,plain,
vtcheck(sK89,vabs(sK90,sK91,veabs),sK92),
inference(cnf_transformation,[],[f220]) ).
fof(f375,plain,
~ visFreeVar(sK87,vabs(sK90,sK91,veabs)),
inference(cnf_transformation,[],[f220]) ).
fof(f376,plain,
~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92),
inference(cnf_transformation,[],[f220]) ).
fof(f391,plain,
! [X2,X3,X0,X4,X5] :
( vabs(X3,X0,X5) != X2
| ~ visFreeVar(X4,X5)
| X3 = X4
| visFreeVar(X4,X2) ),
inference(equality_resolution,[],[f240]) ).
fof(f392,plain,
! [X3,X0,X4,X5] :
( ~ visFreeVar(X4,X5)
| X3 = X4
| visFreeVar(X4,vabs(X3,X0,X5)) ),
inference(equality_resolution,[],[f391]) ).
fof(f393,plain,
! [X2,X0,X1,X4,X5] :
( vabs(X4,X0,X5) != X2
| X1 != X4
| ~ visFreeVar(X1,X2) ),
inference(equality_resolution,[],[f239]) ).
fof(f394,plain,
! [X2,X0,X4,X5] :
( vabs(X4,X0,X5) != X2
| ~ visFreeVar(X4,X2) ),
inference(equality_resolution,[],[f393]) ).
fof(f395,plain,
! [X0,X4,X5] : ~ visFreeVar(X4,vabs(X4,X0,X5)),
inference(equality_resolution,[],[f394]) ).
fof(f488,plain,
! [X2,X3,X1,X4,X5] :
( ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
| visFreeVar(X3,vabs(X3,X4,veabs))
| vtcheck(vbind(X3,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(equality_resolution,[],[f373]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( visFreeVar(X0,vabs(X2,X3,X1))
| ( X0 = X2 )
| ~ visFreeVar(X0,X1) ),
inference(cnf_transformation,[],[f392]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] : ~ visFreeVar(X0,vabs(X0,X1,X2)),
inference(cnf_transformation,[],[f395]) ).
tcf(c_190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( visFreeVar(X4,vabs(X1,X2,veabs))
| vtcheck(vbind(X4,X5,X0),vabs(X1,X2,veabs),X3)
| ( X1 = X4 )
| ~ vtcheck(X0,vabs(X1,X2,veabs),X3) ),
inference(cnf_transformation,[],[f372]) ).
tcf(c_191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( visFreeVar(X1,vabs(X1,X2,veabs))
| vtcheck(vbind(X1,X4,X0),vabs(X1,X2,veabs),X3)
| ~ vtcheck(X0,vabs(X1,X2,veabs),X3) ),
inference(cnf_transformation,[],[f488]) ).
tcf(c_192,negated_conjecture,
~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92),
inference(cnf_transformation,[],[f376]) ).
tcf(c_193,negated_conjecture,
~ visFreeVar(sK87,vabs(sK90,sK91,veabs)),
inference(cnf_transformation,[],[f375]) ).
tcf(c_194,negated_conjecture,
vtcheck(sK89,vabs(sK90,sK91,veabs),sK92),
inference(cnf_transformation,[],[f374]) ).
tcf(c_289,plain,
( ( sK87 = sK90 )
| ~ visFreeVar(sK87,veabs) ),
inference(superposition,[status(thm)],[c_63,c_193]) ).
tcf(c_341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( vtcheck(vbind(X1,X4,X0),vabs(X1,X2,veabs),X3)
| ~ vtcheck(X0,vabs(X1,X2,veabs),X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_191,c_64]) ).
tcf(c_369,plain,
( visFreeVar(sK87,vabs(sK90,sK91,veabs))
| ( sK87 = sK90 )
| ~ vtcheck(sK89,vabs(sK90,sK91,veabs),sK92) ),
inference(superposition,[status(thm)],[c_190,c_192]) ).
tcf(c_370,plain,
sK87 = sK90,
inference(global_subsumption_just,[status(thm)],[c_289,c_194,c_193,c_369]) ).
tcf(c_372,plain,
~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK87,sK91,veabs),sK92),
inference(superposition,[status(thm)],[c_370,c_192]) ).
tcf(c_374,plain,
vtcheck(sK89,vabs(sK87,sK91,veabs),sK92),
inference(superposition,[status(thm)],[c_370,c_194]) ).
tcf(c_439,plain,
~ vtcheck(sK89,vabs(sK87,sK91,veabs),sK92),
inference(superposition,[status(thm)],[c_341,c_372]) ).
tcf(c_440,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_374,c_439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM125+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.35 % Computer : n020.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Fri Sep 25 07:54:50 UTC 2026
% 0.12/0.35 % CPUTime :
% 0.12/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 3.88/1.29 % SZS status Started for theBenchmark.p
% 3.88/1.29 % SZS status Theorem for theBenchmark.p
% 3.88/1.29
% 3.88/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.88/1.29
% 3.88/1.29 % ------ iProver source info
% 3.88/1.29
% 3.88/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 3.88/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.88/1.29 % git: non_committed_changes: false
% 3.88/1.29
% 3.88/1.29 % ------ Parsing...
% 3.88/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.88/1.29 % ------ Proving...
% 3.88/1.29 % ------ Problem Properties
% 3.88/1.29
% 3.88/1.29 %
% 3.88/1.29 % clauses 146
% 3.88/1.29 % conjectures 3
% 3.88/1.29 % EPR 4
% 3.88/1.29 % Horn 114
% 3.88/1.29 % unary 28
% 3.88/1.29 % binary 86
% 3.88/1.29 % lits 330
% 3.88/1.29 % lits eq 138
% 3.88/1.29 % fd_pure 0
% 3.88/1.29 % fd_pseudo 0
% 3.88/1.29 % fd_cond 3
% 3.88/1.29 % fd_pseudo_cond 21
% 3.88/1.29 % AC symbols 0
% 3.88/1.29
% 3.88/1.29 % ------ Input Options Time Limit: Unbounded
% 3.88/1.29
% 3.88/1.29
% 3.88/1.29 % ------
% 3.88/1.29 % Current options:
% 3.88/1.29 % ------
% 3.88/1.29
% 3.88/1.29
% 3.88/1.29 %
% 3.88/1.29
% 3.88/1.29 % ------ Proving...
% 3.88/1.29 %
% 3.88/1.29
% 3.88/1.29 % SZS status Theorem for theBenchmark.p
% 3.88/1.29
% 3.88/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.88/1.29
% 3.88/1.29
%------------------------------------------------------------------------------