%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM017+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.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 01:04:19 PM UTC 2026
% Result : Theorem 1.52s 1.92s
% Output : CNFRefutation 1.52s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f64ERROR: Could not build tree for root c_7399ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731) ).
fof(f20,axiom,
( sdtmndtasgtdt0(xu,xR,xb)
& ( ( sdtmndtplgtdt0(xu,xR,xb)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xu,xR)
& aElement0(X0) )
| aReductOfIn0(xb,xu,xR) ) )
| xu = xb )
& aReductOfIn0(xu,xa,xR)
& aElement0(xu) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__755) ).
fof(f21,axiom,
( sdtmndtasgtdt0(xv,xR,xc)
& ( ( sdtmndtplgtdt0(xv,xR,xc)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xc)
& aReductOfIn0(X0,xv,xR)
& aElement0(X0) )
| aReductOfIn0(xc,xv,xR) ) )
| xv = xc )
& aReductOfIn0(xv,xa,xR)
& aElement0(xv) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__779) ).
fof(f22,conjecture,
? [X0] :
( ( sdtmndtasgtdt0(xv,xR,X0)
| sdtmndtplgtdt0(xv,xR,X0)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,X0)
& aReductOfIn0(X1,xv,xR)
& aElement0(X1) )
| aReductOfIn0(X0,xv,xR)
| xv = X0 )
& ( sdtmndtasgtdt0(xu,xR,X0)
| sdtmndtplgtdt0(xu,xR,X0)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,X0)
& aReductOfIn0(X1,xu,xR)
& aElement0(X1) )
| aReductOfIn0(X0,xu,xR)
| xu = X0 )
& aElement0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f23,negated_conjecture,
~ ? [X0] :
( ( sdtmndtasgtdt0(xv,xR,X0)
| sdtmndtplgtdt0(xv,xR,X0)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,X0)
& aReductOfIn0(X1,xv,xR)
& aElement0(X1) )
| aReductOfIn0(X0,xv,xR)
| xv = X0 )
& ( sdtmndtasgtdt0(xu,xR,X0)
| sdtmndtplgtdt0(xu,xR,X0)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,X0)
& aReductOfIn0(X1,xu,xR)
& aElement0(X1) )
| aReductOfIn0(X0,xu,xR)
| xu = X0 )
& aElement0(X0) ),
inference(negated_conjecture,[status(cth)],[f22]) ).
fof(f31,plain,
~ ? [X0] :
( ( sdtmndtasgtdt0(xv,xR,X0)
| sdtmndtplgtdt0(xv,xR,X0)
| ? [X2] :
( sdtmndtplgtdt0(X2,xR,X0)
& aReductOfIn0(X2,xv,xR)
& aElement0(X2) )
| aReductOfIn0(X0,xv,xR)
| xv = X0 )
& ( sdtmndtasgtdt0(xu,xR,X0)
| sdtmndtplgtdt0(xu,xR,X0)
| ? [X1] :
( sdtmndtplgtdt0(X1,xR,X0)
& aReductOfIn0(X1,xu,xR)
& aElement0(X1) )
| aReductOfIn0(X0,xu,xR)
| xu = X0 )
& aElement0(X0) ),
inference(rectify,[],[f23]) ).
fof(f56,plain,
! [X0] :
( ( ~ sdtmndtasgtdt0(xv,xR,X0)
& ~ sdtmndtplgtdt0(xv,xR,X0)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X0)
| ~ aReductOfIn0(X2,xv,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X0,xv,xR)
& xv != X0 )
| ( ~ sdtmndtasgtdt0(xu,xR,X0)
& ~ sdtmndtplgtdt0(xu,xR,X0)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xu,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(X0,xu,xR)
& xu != X0 )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f96,plain,
( isTerminating0(xR)
& ! [X5,X6] :
( ~ aElement0(X6)
| ~ aElement0(X5)
| ( ~ sdtmndtplgtdt0(X5,xR,X6)
& ! [X7] :
( ~ sdtmndtplgtdt0(X7,xR,X6)
| ~ aReductOfIn0(X7,X5,xR)
| ~ aElement0(X7) )
& ~ aReductOfIn0(X6,X5,xR) )
| iLess0(X6,X5) )
& isLocallyConfluent0(xR)
& ! [X0,X1,X2] :
( ~ aReductOfIn0(X2,X0,xR)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sP4(X3,X2)
& sdtmndtasgtdt0(X1,xR,X3)
& ( ( sdtmndtplgtdt0(X1,xR,X3)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X1,xR)
& aElement0(X4) )
| aReductOfIn0(X3,X1,xR) ) )
| X1 = X3 )
& aElement0(X3) ) ) ),
inference(rectify,[],[f64]) ).
fof(f97,plain,
( isTerminating0(xR)
& ! [X5,X6] :
( ~ aElement0(X6)
| ~ aElement0(X5)
| ( ~ sdtmndtplgtdt0(X5,xR,X6)
& ! [X7] :
( ~ sdtmndtplgtdt0(X7,xR,X6)
| ~ aReductOfIn0(X7,X5,xR)
| ~ aElement0(X7) )
& ~ aReductOfIn0(X6,X5,xR) )
| iLess0(X6,X5) )
& isLocallyConfluent0(xR)
& ! [X0,X1,X2] :
( ~ aReductOfIn0(X2,X0,xR)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ( sdtmndtasgtdt0(X2,xR,sK23(X1,X2))
& sP4(sK23(X1,X2),X2)
& sdtmndtasgtdt0(X1,xR,sK23(X1,X2))
& ( ( sdtmndtplgtdt0(X1,xR,sK23(X1,X2))
& ( ( sdtmndtplgtdt0(sK24(X1,X2),xR,sK23(X1,X2))
& aReductOfIn0(sK24(X1,X2),X1,xR)
& aElement0(sK24(X1,X2)) )
| aReductOfIn0(sK23(X1,X2),X1,xR) ) )
| sK23(X1,X2) = X1 )
& aElement0(sK23(X1,X2)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24]),skolemize(X3,sK23(X1,X2)),skolemize(X4,sK24(X1,X2))],[f96]) ).
fof(f107,plain,
( sdtmndtasgtdt0(xu,xR,xb)
& ( ( sdtmndtplgtdt0(xu,xR,xb)
& ( ( sdtmndtplgtdt0(sK30,xR,xb)
& aReductOfIn0(sK30,xu,xR)
& aElement0(sK30) )
| aReductOfIn0(xb,xu,xR) ) )
| xu = xb )
& aReductOfIn0(xu,xa,xR)
& aElement0(xu) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(X0,sK30)],[f20]) ).
fof(f108,plain,
( sdtmndtasgtdt0(xv,xR,xc)
& ( ( sdtmndtplgtdt0(xv,xR,xc)
& ( ( sdtmndtplgtdt0(sK31,xR,xc)
& aReductOfIn0(sK31,xv,xR)
& aElement0(sK31) )
| aReductOfIn0(xc,xv,xR) ) )
| xv = xc )
& aReductOfIn0(xv,xa,xR)
& aElement0(xv) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(X0,sK31)],[f21]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ aReductOfIn0(X2,X0,xR)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtmndtasgtdt0(X2,xR,sK23(X1,X2)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ aReductOfIn0(X2,X0,xR)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sdtmndtasgtdt0(X1,xR,sK23(X1,X2)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ aReductOfIn0(X2,X0,xR)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| aElement0(sK23(X1,X2)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f176,plain,
aElement0(xa),
inference(cnf_transformation,[],[f17]) ).
fof(f212,plain,
aReductOfIn0(xu,xa,xR),
inference(cnf_transformation,[],[f107]) ).
fof(f213,plain,
aElement0(xu),
inference(cnf_transformation,[],[f107]) ).
fof(f219,plain,
aReductOfIn0(xv,xa,xR),
inference(cnf_transformation,[],[f108]) ).
fof(f220,plain,
aElement0(xv),
inference(cnf_transformation,[],[f108]) ).
fof(f226,plain,
! [X0] :
( sP8(X0)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElement0(sK23(X2,X0))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aReductOfIn0(X0,X1,xR) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtmndtasgtdt0(X2,xR,sK23(X2,X0))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aReductOfIn0(X0,X1,xR) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtmndtasgtdt0(X0,xR,sK23(X2,X0))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aReductOfIn0(X0,X1,xR) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_112,plain,
aElement0(xa),
inference(cnf_transformation,[],[f176]) ).
tcf(c_145,plain,
aElement0(xu),
inference(cnf_transformation,[],[f213]) ).
tcf(c_146,plain,
aReductOfIn0(xu,xa,xR),
inference(cnf_transformation,[],[f212]) ).
tcf(c_152,plain,
aElement0(xv),
inference(cnf_transformation,[],[f220]) ).
tcf(c_153,plain,
aReductOfIn0(xv,xa,xR),
inference(cnf_transformation,[],[f219]) ).
tcf(c_168,negated_conjecture,
! [X0: $i] :
( sP8(X0)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(xu,xR,X0) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_1164,plain,
! [X0: $i] :
( aElement0(sK23(xv,X0))
| ~ aElement0(xv)
| ~ aElement0(xa)
| ~ aElement0(X0)
| ~ aReductOfIn0(X0,xa,xR) ),
inference(superposition,[status(thm)],[c_153,c_99]) ).
tcf(c_1329,plain,
! [X0: $i] :
( sdtmndtasgtdt0(X0,xR,sK23(xv,X0))
| ~ aElement0(xv)
| ~ aElement0(xa)
| ~ aElement0(X0)
| ~ aReductOfIn0(X0,xa,xR) ),
inference(superposition,[status(thm)],[c_153,c_106]) ).
tcf(c_1355,plain,
! [X0: $i] :
( sdtmndtasgtdt0(xv,xR,sK23(xv,X0))
| ~ aElement0(xv)
| ~ aElement0(xa)
| ~ aElement0(X0)
| ~ aReductOfIn0(X0,xa,xR) ),
inference(superposition,[status(thm)],[c_153,c_104]) ).
tcf(c_2118,plain,
! [X0: $i] :
( aElement0(sK23(xv,X0))
| ~ aElement0(X0)
| ~ aReductOfIn0(X0,xa,xR) ),
inference(global_subsumption_just,[status(thm)],[c_1164,c_152,c_112,c_1164]) ).
tcf(c_2127,plain,
( aElement0(sK23(xv,xu))
| ~ aElement0(xu) ),
inference(superposition,[status(thm)],[c_146,c_2118]) ).
tcf(c_2540,plain,
! [X0: $i] :
( sdtmndtasgtdt0(X0,xR,sK23(xv,X0))
| ~ aElement0(X0)
| ~ aReductOfIn0(X0,xa,xR) ),
inference(global_subsumption_just,[status(thm)],[c_1329,c_152,c_112,c_1329]) ).
tcf(c_2553,plain,
( sP8(sK23(xv,xu))
| ~ aElement0(xu)
| ~ aReductOfIn0(xu,xa,xR)
| ~ aElement0(sK23(xv,xu)) ),
inference(superposition,[status(thm)],[c_2540,c_168]) ).
tcf(c_2705,plain,
! [X0: $i] :
( sdtmndtasgtdt0(xv,xR,sK23(xv,X0))
| ~ aElement0(X0)
| ~ aReductOfIn0(X0,xa,xR) ),
inference(global_subsumption_just,[status(thm)],[c_1355,c_152,c_112,c_1355]) ).
fof(f69,definition,
! [X0] :
( ~ sP8(X0)
| ( ~ sdtmndtasgtdt0(xv,xR,X0)
& ~ sdtmndtplgtdt0(xv,xR,X0)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X0)
| ~ aReductOfIn0(X2,xv,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X0,xv,xR)
& xv != X0 ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f70,plain,
! [X0] :
( sP8(X0)
| ( ~ sdtmndtasgtdt0(xu,xR,X0)
& ~ sdtmndtplgtdt0(xu,xR,X0)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xu,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(X0,xu,xR)
& xu != X0 )
| ~ aElement0(X0) ),
inference(definition_folding,[],[f56,f69]) ).
fof(f109,plain,
! [X0] :
( ~ sP8(X0)
| ( ~ sdtmndtasgtdt0(xv,xR,X0)
& ~ sdtmndtplgtdt0(xv,xR,X0)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X0)
| ~ aReductOfIn0(X2,xv,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X0,xv,xR)
& xv != X0 ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f110,plain,
! [X0] :
( ~ sP8(X0)
| ( ~ sdtmndtasgtdt0(xv,xR,X0)
& ~ sdtmndtplgtdt0(xv,xR,X0)
& ! [X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xv,xR)
| ~ aElement0(X1) )
& ~ aReductOfIn0(X0,xv,xR)
& xv != X0 ) ),
inference(rectify,[],[f109]) ).
fof(f221,plain,
! [X0] :
( ~ sP8(X0)
| ~ sdtmndtasgtdt0(xv,xR,X0) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_163,plain,
! [X0: $i] :
( ~ sP8(X0)
| ~ sdtmndtasgtdt0(xv,xR,X0) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_2717,plain,
! [X0: $i] :
( ~ aElement0(X0)
| ~ sP8(sK23(xv,X0))
| ~ aReductOfIn0(X0,xa,xR) ),
inference(superposition,[status(thm)],[c_2705,c_163]) ).
tcf(c_7397,plain,
( ~ aElement0(xu)
| ~ sP8(sK23(xv,xu)) ),
inference(superposition,[status(thm)],[c_146,c_2717]) ).
tcf(c_7399,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7397,c_2553,c_2127,c_146,c_145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COM017+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.45 % Computer : n011.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Fri Sep 25 07:49:14 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 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
% 0.23/0.53
% 0.23/0.53 % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.53
% 0.23/0.54 % Detected problem language: tptp
% 0.23/0.55 % Proving...
% 1.52/1.92 % SZS status Started for theBenchmark.p
% 1.52/1.92 % SZS status Theorem for theBenchmark.p
% 1.52/1.92
% 1.52/1.92 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.52/1.92
% 1.52/1.92 % ------ iProver source info
% 1.52/1.92
% 1.52/1.92 % git: date: 2026-07-19 20:42:38 +0200
% 1.52/1.92 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.52/1.92 % git: non_committed_changes: false
% 1.52/1.92
% 1.52/1.92 % ------ Parsing...
% 1.52/1.92 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.52/1.92 % ------ Proving...
% 1.52/1.92 % ------ Problem Properties
% 1.52/1.92
% 1.52/1.92 %
% 1.52/1.92 % clauses 120
% 1.52/1.92 % conjectures 5
% 1.52/1.92 % EPR 71
% 1.52/1.92 % Horn 67
% 1.52/1.92 % unary 16
% 1.52/1.92 % binary 31
% 1.52/1.92 % lits 431
% 1.52/1.92 % lits eq 25
% 1.52/1.92 % fd_pure 0
% 1.52/1.92 % fd_pseudo 0
% 1.52/1.92 % fd_cond 0
% 1.52/1.92 % fd_pseudo_cond 9
% 1.52/1.92 % AC symbols 0
% 1.52/1.92
% 1.52/1.92 % ------ Input Options Time Limit: Unbounded
% 1.52/1.92
% 1.52/1.92
% 1.52/1.92 % ------
% 1.52/1.92 % Current options:
% 1.52/1.92 % ------
% 1.52/1.92
% 1.52/1.92
% 1.52/1.92 %
% 1.52/1.92
% 1.52/1.92 % ------ Proving...
% 1.52/1.92 %
% 1.52/1.92
% 1.52/1.92 % ------ Proving...
% 1.52/1.92 %
% 1.52/1.92
% 1.52/1.92 % ------ Proving...
% 1.52/1.92 %
% 1.52/1.92
% 1.52/1.92 % ------ Proving...
% 1.52/1.92 %
% 1.52/1.92
% 1.52/1.92 % SZS status Theorem for theBenchmark.p
% 1.52/1.92
% 1.52/1.92 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.52/1.92
% 1.52/1.92
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