%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM023+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 : n010.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 01:04:21 PM UTC 2026
% Result : Theorem 3.44s 1.28s
% Output : CNFRefutation 3.44s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f64ERROR: Could not build tree for root c_15744ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f18,conjecture,
( isConfluent0(xR)
| ! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& sdtmndtasgtdt0(X0,xR,X1)
& ( ( sdtmndtplgtdt0(X0,xR,X1)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X1)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X1,X0,xR) ) )
| X0 = X1 )
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ? [X3] :
( ( sdtmndtasgtdt0(X2,xR,X3)
| sdtmndtplgtdt0(X2,xR,X3)
| ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X2,xR)
& aElement0(X4) )
| aReductOfIn0(X3,X2,xR)
| X2 = X3 )
& ( 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) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f19,negated_conjecture,
~ ( isConfluent0(xR)
| ! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& sdtmndtasgtdt0(X0,xR,X1)
& ( ( sdtmndtplgtdt0(X0,xR,X1)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X1)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X1,X0,xR) ) )
| X0 = X1 )
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ? [X3] :
( ( sdtmndtasgtdt0(X2,xR,X3)
| sdtmndtplgtdt0(X2,xR,X3)
| ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X2,xR)
& aElement0(X4) )
| aReductOfIn0(X3,X2,xR)
| X2 = X3 )
& ( 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(negated_conjecture,[status(cth)],[f18]) ).
fof(f26,plain,
~ ( isConfluent0(xR)
| ! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X2)
& aReductOfIn0(X4,X0,xR)
& aElement0(X4) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& sdtmndtasgtdt0(X0,xR,X1)
& ( ( sdtmndtplgtdt0(X0,xR,X1)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X1)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X1,X0,xR) ) )
| X0 = X1 )
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ? [X5] :
( ( sdtmndtasgtdt0(X2,xR,X5)
| sdtmndtplgtdt0(X2,xR,X5)
| ? [X7] :
( sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,X2,xR)
& aElement0(X7) )
| aReductOfIn0(X5,X2,xR)
| X2 = X5 )
& ( sdtmndtasgtdt0(X1,xR,X5)
| sdtmndtplgtdt0(X1,xR,X5)
| ? [X6] :
( sdtmndtplgtdt0(X6,xR,X5)
& aReductOfIn0(X6,X1,xR)
& aElement0(X6) )
| aReductOfIn0(X5,X1,xR)
| X1 = X5 )
& aElement0(X5) ) ) ),
inference(rectify,[],[f19]) ).
fof(f51,plain,
( ~ isConfluent0(xR)
& ? [X0,X1,X2] :
( sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X2)
& aReductOfIn0(X4,X0,xR)
& aElement0(X4) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& sdtmndtasgtdt0(X0,xR,X1)
& ( ( sdtmndtplgtdt0(X0,xR,X1)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X1)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X1,X0,xR) ) )
| X0 = X1 )
& aElement0(X2)
& aElement0(X1)
& aElement0(X0)
& ! [X5] :
( ( ~ sdtmndtasgtdt0(X2,xR,X5)
& ~ sdtmndtplgtdt0(X2,xR,X5)
& ! [X7] :
( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ aReductOfIn0(X7,X2,xR)
| ~ aElement0(X7) )
& ~ aReductOfIn0(X5,X2,xR)
& X2 != X5 )
| ( ~ sdtmndtasgtdt0(X1,xR,X5)
& ~ sdtmndtplgtdt0(X1,xR,X5)
& ! [X6] :
( ~ sdtmndtplgtdt0(X6,xR,X5)
| ~ aReductOfIn0(X6,X1,xR)
| ~ aElement0(X6) )
& ~ aReductOfIn0(X5,X1,xR)
& X1 != X5 )
| ~ aElement0(X5) ) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f52,plain,
( ~ isConfluent0(xR)
& ? [X0,X1,X2] :
( sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X2)
& aReductOfIn0(X4,X0,xR)
& aElement0(X4) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& sdtmndtasgtdt0(X0,xR,X1)
& ( ( sdtmndtplgtdt0(X0,xR,X1)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X1)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X1,X0,xR) ) )
| X0 = X1 )
& aElement0(X2)
& aElement0(X1)
& aElement0(X0)
& ! [X5] :
( ( ~ sdtmndtasgtdt0(X2,xR,X5)
& ~ sdtmndtplgtdt0(X2,xR,X5)
& ! [X7] :
( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ aReductOfIn0(X7,X2,xR)
| ~ aElement0(X7) )
& ~ aReductOfIn0(X5,X2,xR)
& X2 != X5 )
| ( ~ sdtmndtasgtdt0(X1,xR,X5)
& ~ sdtmndtplgtdt0(X1,xR,X5)
& ! [X6] :
( ~ sdtmndtplgtdt0(X6,xR,X5)
| ~ aReductOfIn0(X6,X1,xR)
| ~ aElement0(X6) )
& ~ aReductOfIn0(X5,X1,xR)
& X1 != X5 )
| ~ aElement0(X5) ) ) ),
inference(flattening,[],[f51]) ).
fof(f94,plain,
! [X2,X0] :
( ~ sP7(X2,X0)
| ( ~ sdtmndtasgtdt0(X0,xR,X2)
& ~ sdtmndtplgtdt0(X0,xR,X2)
& ! [X4] :
( ~ sdtmndtplgtdt0(X4,xR,X2)
| ~ aReductOfIn0(X4,X0,xR)
| ~ aElement0(X4) )
& ~ aReductOfIn0(X2,X0,xR)
& X0 != X2 ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f95,plain,
! [X0,X1] :
( ~ sP7(X0,X1)
| ( ~ sdtmndtasgtdt0(X1,xR,X0)
& ~ sdtmndtplgtdt0(X1,xR,X0)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X0)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X0,X1,xR)
& X0 != X1 ) ),
inference(rectify,[],[f94]) ).
fof(f96,plain,
! [X1,X2] :
( ~ sP6(X1,X2)
| ? [X5] :
( sdtmndtasgtdt0(X2,xR,X5)
& sP5(X5,X2)
& sdtmndtasgtdt0(X1,xR,X5)
& ( ( sdtmndtplgtdt0(X1,xR,X5)
& ( ? [X6] :
( sdtmndtplgtdt0(X6,xR,X5)
& aReductOfIn0(X6,X1,xR)
& aElement0(X6) )
| aReductOfIn0(X5,X1,xR) ) )
| X1 = X5 )
& aElement0(X5) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f97,plain,
! [X0,X1] :
( ~ sP6(X0,X1)
| ? [X2] :
( sdtmndtasgtdt0(X1,xR,X2)
& sP5(X2,X1)
& sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& aElement0(X2) ) ),
inference(rectify,[],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( ~ sP6(X0,X1)
| ( sdtmndtasgtdt0(X1,xR,sK25(X0,X1))
& sP5(sK25(X0,X1),X1)
& sdtmndtasgtdt0(X0,xR,sK25(X0,X1))
& ( ( sdtmndtplgtdt0(X0,xR,sK25(X0,X1))
& ( ( sdtmndtplgtdt0(sK26(X0,X1),xR,sK25(X0,X1))
& aReductOfIn0(sK26(X0,X1),X0,xR)
& aElement0(sK26(X0,X1)) )
| aReductOfIn0(sK25(X0,X1),X0,xR) ) )
| sK25(X0,X1) = X0 )
& aElement0(sK25(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26]),skolemize(X2,sK25(X0,X1)),skolemize(X3,sK26(X0,X1))],[f97]) ).
fof(f104,plain,
( ~ isConfluent0(xR)
& ? [X0,X1,X2] :
( sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X6] :
( sdtmndtplgtdt0(X6,xR,X2)
& aReductOfIn0(X6,X0,xR)
& aElement0(X6) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& sdtmndtasgtdt0(X0,xR,X1)
& ( ( sdtmndtplgtdt0(X0,xR,X1)
& ( ? [X5] :
( sdtmndtplgtdt0(X5,xR,X1)
& aReductOfIn0(X5,X0,xR)
& aElement0(X5) )
| aReductOfIn0(X1,X0,xR) ) )
| X0 = X1 )
& aElement0(X2)
& aElement0(X1)
& aElement0(X0)
& ! [X3] :
( sP8(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,[],[f66]) ).
fof(f105,plain,
( ~ isConfluent0(xR)
& sdtmndtasgtdt0(sK28,xR,sK30)
& ( ( sdtmndtplgtdt0(sK28,xR,sK30)
& ( ( sdtmndtplgtdt0(sK32,xR,sK30)
& aReductOfIn0(sK32,sK28,xR)
& aElement0(sK32) )
| aReductOfIn0(sK30,sK28,xR) ) )
| sK28 = sK30 )
& sdtmndtasgtdt0(sK28,xR,sK29)
& ( ( sdtmndtplgtdt0(sK28,xR,sK29)
& ( ( sdtmndtplgtdt0(sK31,xR,sK29)
& aReductOfIn0(sK31,sK28,xR)
& aElement0(sK31) )
| aReductOfIn0(sK29,sK28,xR) ) )
| sK28 = sK29 )
& aElement0(sK30)
& aElement0(sK29)
& aElement0(sK28)
& ! [X3] :
( sP8(X3,sK30)
| ( ~ sdtmndtasgtdt0(sK29,xR,X3)
& ~ sdtmndtplgtdt0(sK29,xR,X3)
& ! [X4] :
( ~ sdtmndtplgtdt0(X4,xR,X3)
| ~ aReductOfIn0(X4,sK29,xR)
| ~ aElement0(X4) )
& ~ aReductOfIn0(X3,sK29,xR)
& sK29 != X3 )
| ~ aElement0(X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31,sK32]),skolemize(X0,sK28),skolemize(X1,sK29),skolemize(X2,sK30),skolemize(X5,sK31),skolemize(X6,sK32)],[f104]) ).
fof(f169,plain,
! [X0,X1] :
( ~ sP7(X0,X1)
| ~ sdtmndtasgtdt0(X1,xR,X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f174,plain,
! [X0,X1] :
( ~ sP6(X0,X1)
| sdtmndtasgtdt0(X1,xR,sK25(X0,X1)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f176,plain,
! [X0,X1] :
( ~ sP6(X0,X1)
| sdtmndtasgtdt0(X0,xR,sK25(X0,X1)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f181,plain,
! [X0,X1] :
( ~ sP6(X0,X1)
| aElement0(sK25(X0,X1)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f186,plain,
! [X2,X0,X1] :
( sP7(X2,X0)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| sP6(X1,X2) ),
inference(cnf_transformation,[],[f64]) ).
fof(f197,plain,
sdtmndtasgtdt0(sK28,xR,sK30),
inference(cnf_transformation,[],[f105]) ).
fof(f202,plain,
sdtmndtasgtdt0(sK28,xR,sK29),
inference(cnf_transformation,[],[f105]) ).
fof(f207,plain,
aElement0(sK30),
inference(cnf_transformation,[],[f105]) ).
fof(f208,plain,
aElement0(sK29),
inference(cnf_transformation,[],[f105]) ).
fof(f209,plain,
aElement0(sK28),
inference(cnf_transformation,[],[f105]) ).
fof(f210,plain,
! [X3] :
( sP8(X3,sK30)
| ~ sdtmndtasgtdt0(sK29,xR,X3)
| ~ aElement0(X3) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] :
( ~ sP7(X1,X0)
| ~ sdtmndtasgtdt0(X0,xR,X1) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i] :
( aElement0(sK25(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i] :
( sdtmndtasgtdt0(X0,xR,sK25(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i] :
( sdtmndtasgtdt0(X1,xR,sK25(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP6(X1,X2)
| sP7(X2,X0)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X0,xR,X1) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_143,negated_conjecture,
! [X0: $i] :
( sP8(X0,sK30)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK29,xR,X0) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_144,negated_conjecture,
aElement0(sK28),
inference(cnf_transformation,[],[f209]) ).
tcf(c_145,negated_conjecture,
aElement0(sK29),
inference(cnf_transformation,[],[f208]) ).
tcf(c_146,negated_conjecture,
aElement0(sK30),
inference(cnf_transformation,[],[f207]) ).
tcf(c_151,negated_conjecture,
sdtmndtasgtdt0(sK28,xR,sK29),
inference(cnf_transformation,[],[f202]) ).
tcf(c_156,negated_conjecture,
sdtmndtasgtdt0(sK28,xR,sK30),
inference(cnf_transformation,[],[f197]) ).
tcf(c_10919,negated_conjecture,
sdtmndtasgtdt0(sK28,xR,sK30),
inference(demodulation,[status(thm)],[c_156]) ).
tcf(c_10924,negated_conjecture,
sdtmndtasgtdt0(sK28,xR,sK29),
inference(demodulation,[status(thm)],[c_151]) ).
tcf(c_10929,negated_conjecture,
aElement0(sK30),
inference(demodulation,[status(thm)],[c_146]) ).
tcf(c_10930,negated_conjecture,
aElement0(sK29),
inference(demodulation,[status(thm)],[c_145]) ).
tcf(c_10931,negated_conjecture,
aElement0(sK28),
inference(demodulation,[status(thm)],[c_144]) ).
tcf(c_10932,negated_conjecture,
! [X0: $i] :
( sP8(X0,sK30)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(sK29,xR,X0) ),
inference(demodulation,[status(thm)],[c_143]) ).
tcf(c_12897,plain,
~ sP7(sK29,sK28),
inference(superposition,[status(thm)],[c_10924,c_116]) ).
tcf(c_13105,plain,
! [X0: $i] :
( sP8(sK25(X0,sK29),sK30)
| ~ sP6(X0,sK29)
| ~ aElement0(sK25(X0,sK29)) ),
inference(superposition,[status(thm)],[c_124,c_10932]) ).
tcf(c_13207,plain,
! [X0: $i] :
( sP8(sK25(X0,sK29),sK30)
| ~ sP6(X0,sK29) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13105,c_117]) ).
tcf(c_15500,plain,
! [X0: $i] :
( sP6(sK30,X0)
| sP7(X0,sK28)
| ~ aElement0(sK28)
| ~ aElement0(sK30)
| ~ aElement0(X0) ),
inference(superposition,[status(thm)],[c_10919,c_133]) ).
tcf(c_15505,plain,
! [X0: $i] :
( sP6(sK30,X0)
| sP7(X0,sK28)
| ~ aElement0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15500,c_10931,c_10929]) ).
tcf(c_15739,plain,
( sP6(sK30,sK29)
| ~ aElement0(sK29) ),
inference(superposition,[status(thm)],[c_15505,c_12897]) ).
fof(f65,definition,
! [X5,X2] :
( ~ sP8(X5,X2)
| ( ~ sdtmndtasgtdt0(X2,xR,X5)
& ~ sdtmndtplgtdt0(X2,xR,X5)
& ! [X7] :
( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ aReductOfIn0(X7,X2,xR)
| ~ aElement0(X7) )
& ~ aReductOfIn0(X5,X2,xR)
& X2 != X5 ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f66,plain,
( ~ isConfluent0(xR)
& ? [X0,X1,X2] :
( sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X2)
& aReductOfIn0(X4,X0,xR)
& aElement0(X4) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& sdtmndtasgtdt0(X0,xR,X1)
& ( ( sdtmndtplgtdt0(X0,xR,X1)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X1)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X1,X0,xR) ) )
| X0 = X1 )
& aElement0(X2)
& aElement0(X1)
& aElement0(X0)
& ! [X5] :
( sP8(X5,X2)
| ( ~ sdtmndtasgtdt0(X1,xR,X5)
& ~ sdtmndtplgtdt0(X1,xR,X5)
& ! [X6] :
( ~ sdtmndtplgtdt0(X6,xR,X5)
| ~ aReductOfIn0(X6,X1,xR)
| ~ aElement0(X6) )
& ~ aReductOfIn0(X5,X1,xR)
& X1 != X5 )
| ~ aElement0(X5) ) ) ),
inference(definition_folding,[],[f52,f65]) ).
fof(f102,plain,
! [X5,X2] :
( ~ sP8(X5,X2)
| ( ~ sdtmndtasgtdt0(X2,xR,X5)
& ~ sdtmndtplgtdt0(X2,xR,X5)
& ! [X7] :
( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ aReductOfIn0(X7,X2,xR)
| ~ aElement0(X7) )
& ~ aReductOfIn0(X5,X2,xR)
& X2 != X5 ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f103,plain,
! [X0,X1] :
( ~ sP8(X0,X1)
| ( ~ sdtmndtasgtdt0(X1,xR,X0)
& ~ sdtmndtplgtdt0(X1,xR,X0)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X0)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X0,X1,xR)
& X0 != X1 ) ),
inference(rectify,[],[f102]) ).
fof(f191,plain,
! [X0,X1] :
( ~ sP8(X0,X1)
| ~ sdtmndtasgtdt0(X1,xR,X0) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] :
( ~ sP8(X1,X0)
| ~ sdtmndtasgtdt0(X0,xR,X1) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_13022,plain,
! [X0: $i,X1: $i] :
( ~ sP6(X0,X1)
| ~ sP8(sK25(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_122,c_138]) ).
tcf(c_13214,plain,
~ sP6(sK30,sK29),
inference(superposition,[status(thm)],[c_13207,c_13022]) ).
tcf(c_15744,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_15739,c_13214,c_10930]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM023+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 07:50:14 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 3.44/1.28 % SZS status Started for theBenchmark.p
% 3.44/1.28 % SZS status Theorem for theBenchmark.p
% 3.44/1.28
% 3.44/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.44/1.28
% 3.44/1.28 % ------ iProver source info
% 3.44/1.28
% 3.44/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.44/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.44/1.28 % git: non_committed_changes: false
% 3.44/1.28
% 3.44/1.28 % ------ Parsing...
% 3.44/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.44/1.28
% 3.44/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 3.44/1.28
% 3.44/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.44/1.28
% 3.44/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.44/1.28 % ------ Proving...
% 3.44/1.28 % ------ Problem Properties
% 3.44/1.28
% 3.44/1.28 %
% 3.44/1.28 % clauses 101
% 3.44/1.28 % conjectures 18
% 3.44/1.28 % EPR 47
% 3.44/1.28 % Horn 55
% 3.44/1.28 % unary 12
% 3.44/1.28 % binary 22
% 3.44/1.28 % lits 379
% 3.44/1.28 % lits eq 25
% 3.44/1.28 % fd_pure 0
% 3.44/1.28 % fd_pseudo 0
% 3.44/1.28 % fd_cond 0
% 3.44/1.28 % fd_pseudo_cond 9
% 3.44/1.28 % AC symbols 0
% 3.44/1.28
% 3.44/1.28 % ------ Schedule dynamic 5 is on
% 3.44/1.28
% 3.44/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.44/1.28
% 3.44/1.28
% 3.44/1.28 % ------
% 3.44/1.28 % Current options:
% 3.44/1.28 % ------
% 3.44/1.28
% 3.44/1.28
% 3.44/1.28 %
% 3.44/1.28
% 3.44/1.28 % ------ Proving...
% 3.44/1.28 %
% 3.44/1.28
% 3.44/1.28 % SZS status Theorem for theBenchmark.p
% 3.44/1.28
% 3.44/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.44/1.28
% 3.44/1.28
%------------------------------------------------------------------------------