TSTP Solution File: COM022+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COM022+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:10:29 EDT 2024
% Result : Theorem 3.93s 1.18s
% Output : CNFRefutation 3.93s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f170)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).
fof(f13,axiom,
! [X0,X1] :
( ( aRewritingSystem0(X1)
& aElement0(X0) )
=> ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ~ ? [X3] : aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNFRDef) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
fof(f17,axiom,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
fof(f19,conjecture,
( ( ( sdtmndtplgtdt0(xa,xR,xc)
& sdtmndtplgtdt0(xa,xR,xb) )
=> ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3)
& aNormalFormOfIn0(X3,X2,xR) )
& sdtmndtasgtdt0(X1,xR,X2)
& sdtmndtasgtdt0(X0,xR,X2)
& aElement0(X2) )
& sdtmndtasgtdt0(X1,xR,xc)
& aReductOfIn0(X1,xa,xR)
& aElement0(X1) )
& sdtmndtasgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) ) )
=> ( ( sdtmndtasgtdt0(xa,xR,xc)
& sdtmndtasgtdt0(xa,xR,xb) )
=> ? [X0] :
( sdtmndtasgtdt0(xc,xR,X0)
& sdtmndtasgtdt0(xb,xR,X0)
& aElement0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f20,negated_conjecture,
~ ( ( ( sdtmndtplgtdt0(xa,xR,xc)
& sdtmndtplgtdt0(xa,xR,xb) )
=> ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3)
& aNormalFormOfIn0(X3,X2,xR) )
& sdtmndtasgtdt0(X1,xR,X2)
& sdtmndtasgtdt0(X0,xR,X2)
& aElement0(X2) )
& sdtmndtasgtdt0(X1,xR,xc)
& aReductOfIn0(X1,xa,xR)
& aElement0(X1) )
& sdtmndtasgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) ) )
=> ( ( sdtmndtasgtdt0(xa,xR,xc)
& sdtmndtasgtdt0(xa,xR,xb) )
=> ? [X0] :
( sdtmndtasgtdt0(xc,xR,X0)
& sdtmndtasgtdt0(xb,xR,X0)
& aElement0(X0) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f25,plain,
~ ( ( ( sdtmndtplgtdt0(xa,xR,xc)
& sdtmndtplgtdt0(xa,xR,xb) )
=> ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3)
& aNormalFormOfIn0(X3,X2,xR) )
& sdtmndtasgtdt0(X1,xR,X2)
& sdtmndtasgtdt0(X0,xR,X2)
& aElement0(X2) )
& sdtmndtasgtdt0(X1,xR,xc)
& aReductOfIn0(X1,xa,xR)
& aElement0(X1) )
& sdtmndtasgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) ) )
=> ( ( sdtmndtasgtdt0(xa,xR,xc)
& sdtmndtasgtdt0(xa,xR,xb) )
=> ? [X4] :
( sdtmndtasgtdt0(xc,xR,X4)
& sdtmndtasgtdt0(xb,xR,X4)
& aElement0(X4) ) ) ),
inference(rectify,[],[f20]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f32]) ).
fof(f42,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f43,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f42]) ).
fof(f48,plain,
( ! [X4] :
( ~ sdtmndtasgtdt0(xc,xR,X4)
| ~ sdtmndtasgtdt0(xb,xR,X4)
| ~ aElement0(X4) )
& sdtmndtasgtdt0(xa,xR,xc)
& sdtmndtasgtdt0(xa,xR,xb)
& ( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3)
& aNormalFormOfIn0(X3,X2,xR) )
& sdtmndtasgtdt0(X1,xR,X2)
& sdtmndtasgtdt0(X0,xR,X2)
& aElement0(X2) )
& sdtmndtasgtdt0(X1,xR,xc)
& aReductOfIn0(X1,xa,xR)
& aElement0(X1) )
& sdtmndtasgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f49,plain,
( ! [X4] :
( ~ sdtmndtasgtdt0(xc,xR,X4)
| ~ sdtmndtasgtdt0(xb,xR,X4)
| ~ aElement0(X4) )
& sdtmndtasgtdt0(xa,xR,xc)
& sdtmndtasgtdt0(xa,xR,xb)
& ( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3)
& aNormalFormOfIn0(X3,X2,xR) )
& sdtmndtasgtdt0(X1,xR,X2)
& sdtmndtasgtdt0(X0,xR,X2)
& aElement0(X2) )
& sdtmndtasgtdt0(X1,xR,xc)
& aReductOfIn0(X1,xa,xR)
& aElement0(X1) )
& sdtmndtasgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ) ),
inference(flattening,[],[f48]) ).
fof(f56,plain,
! [X1,X0] :
( ? [X2] :
( ? [X3] :
( sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3)
& aNormalFormOfIn0(X3,X2,xR) )
& sdtmndtasgtdt0(X1,xR,X2)
& sdtmndtasgtdt0(X0,xR,X2)
& aElement0(X2) )
| ~ sP4(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f57,plain,
( ! [X4] :
( ~ sdtmndtasgtdt0(xc,xR,X4)
| ~ sdtmndtasgtdt0(xb,xR,X4)
| ~ aElement0(X4) )
& sdtmndtasgtdt0(xa,xR,xc)
& sdtmndtasgtdt0(xa,xR,xb)
& ( ? [X0] :
( ? [X1] :
( sP4(X1,X0)
& sdtmndtasgtdt0(X1,xR,xc)
& aReductOfIn0(X1,xa,xR)
& aElement0(X1) )
& sdtmndtasgtdt0(X0,xR,xb)
& aReductOfIn0(X0,xa,xR)
& aElement0(X0) )
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ) ),
inference(definition_folding,[],[f49,f56]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( ~ sdtmndtplgtdt0(X0,X1,X2)
& X0 != X2 ) )
& ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f33]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( ~ sdtmndtplgtdt0(X0,X1,X2)
& X0 != X2 ) )
& ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f63]) ).
fof(f81,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f43]) ).
fof(f82,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X4] : ~ aReductOfIn0(X4,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(rectify,[],[f82]) ).
fof(f84,plain,
! [X1,X2] :
( ? [X3] : aReductOfIn0(X3,X2,X1)
=> aReductOfIn0(sK16(X1,X2),X2,X1) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| aReductOfIn0(sK16(X1,X2),X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X4] : ~ aReductOfIn0(X4,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f83,f84]) ).
fof(f90,plain,
! [X1,X0] :
( ? [X2] :
( ? [X3] :
( sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3)
& aNormalFormOfIn0(X3,X2,xR) )
& sdtmndtasgtdt0(X1,xR,X2)
& sdtmndtasgtdt0(X0,xR,X2)
& aElement0(X2) )
| ~ sP4(X1,X0) ),
inference(nnf_transformation,[],[f56]) ).
fof(f91,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3)
& aNormalFormOfIn0(X3,X2,xR) )
& sdtmndtasgtdt0(X0,xR,X2)
& sdtmndtasgtdt0(X1,xR,X2)
& aElement0(X2) )
| ~ sP4(X0,X1) ),
inference(rectify,[],[f90]) ).
fof(f92,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3)
& aNormalFormOfIn0(X3,X2,xR) )
& sdtmndtasgtdt0(X0,xR,X2)
& sdtmndtasgtdt0(X1,xR,X2)
& aElement0(X2) )
=> ( ? [X3] :
( sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3)
& aNormalFormOfIn0(X3,sK19(X0,X1),xR) )
& sdtmndtasgtdt0(X0,xR,sK19(X0,X1))
& sdtmndtasgtdt0(X1,xR,sK19(X0,X1))
& aElement0(sK19(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0,X1] :
( ? [X3] :
( sdtmndtasgtdt0(xc,xR,X3)
& sdtmndtasgtdt0(xb,xR,X3)
& aNormalFormOfIn0(X3,sK19(X0,X1),xR) )
=> ( sdtmndtasgtdt0(xc,xR,sK20(X0,X1))
& sdtmndtasgtdt0(xb,xR,sK20(X0,X1))
& aNormalFormOfIn0(sK20(X0,X1),sK19(X0,X1),xR) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0,X1] :
( ( sdtmndtasgtdt0(xc,xR,sK20(X0,X1))
& sdtmndtasgtdt0(xb,xR,sK20(X0,X1))
& aNormalFormOfIn0(sK20(X0,X1),sK19(X0,X1),xR)
& sdtmndtasgtdt0(X0,xR,sK19(X0,X1))
& sdtmndtasgtdt0(X1,xR,sK19(X0,X1))
& aElement0(sK19(X0,X1)) )
| ~ sP4(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f91,f93,f92]) ).
fof(f95,plain,
( ! [X0] :
( ~ sdtmndtasgtdt0(xc,xR,X0)
| ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ aElement0(X0) )
& sdtmndtasgtdt0(xa,xR,xc)
& sdtmndtasgtdt0(xa,xR,xb)
& ( ? [X1] :
( ? [X2] :
( sP4(X2,X1)
& sdtmndtasgtdt0(X2,xR,xc)
& aReductOfIn0(X2,xa,xR)
& aElement0(X2) )
& sdtmndtasgtdt0(X1,xR,xb)
& aReductOfIn0(X1,xa,xR)
& aElement0(X1) )
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ) ),
inference(rectify,[],[f57]) ).
fof(f96,plain,
( ? [X1] :
( ? [X2] :
( sP4(X2,X1)
& sdtmndtasgtdt0(X2,xR,xc)
& aReductOfIn0(X2,xa,xR)
& aElement0(X2) )
& sdtmndtasgtdt0(X1,xR,xb)
& aReductOfIn0(X1,xa,xR)
& aElement0(X1) )
=> ( ? [X2] :
( sP4(X2,sK21)
& sdtmndtasgtdt0(X2,xR,xc)
& aReductOfIn0(X2,xa,xR)
& aElement0(X2) )
& sdtmndtasgtdt0(sK21,xR,xb)
& aReductOfIn0(sK21,xa,xR)
& aElement0(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
( ? [X2] :
( sP4(X2,sK21)
& sdtmndtasgtdt0(X2,xR,xc)
& aReductOfIn0(X2,xa,xR)
& aElement0(X2) )
=> ( sP4(sK22,sK21)
& sdtmndtasgtdt0(sK22,xR,xc)
& aReductOfIn0(sK22,xa,xR)
& aElement0(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( ! [X0] :
( ~ sdtmndtasgtdt0(xc,xR,X0)
| ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ aElement0(X0) )
& sdtmndtasgtdt0(xa,xR,xc)
& sdtmndtasgtdt0(xa,xR,xb)
& ( ( sP4(sK22,sK21)
& sdtmndtasgtdt0(sK22,xR,xc)
& aReductOfIn0(sK22,xa,xR)
& aElement0(sK22)
& sdtmndtasgtdt0(sK21,xR,xb)
& aReductOfIn0(sK21,xa,xR)
& aElement0(sK21) )
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f95,f97,f96]) ).
fof(f106,plain,
! [X2,X0,X1] :
( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f139,plain,
! [X2,X0,X1] :
( aElement0(X2)
| ~ aNormalFormOfIn0(X2,X0,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f144,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f147,plain,
aElement0(xa),
inference(cnf_transformation,[],[f17]) ).
fof(f148,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f149,plain,
aElement0(xc),
inference(cnf_transformation,[],[f17]) ).
fof(f153,plain,
! [X0,X1] :
( aElement0(sK19(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f156,plain,
! [X0,X1] :
( aNormalFormOfIn0(sK20(X0,X1),sK19(X0,X1),xR)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f157,plain,
! [X0,X1] :
( sdtmndtasgtdt0(xb,xR,sK20(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f158,plain,
! [X0,X1] :
( sdtmndtasgtdt0(xc,xR,sK20(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f165,plain,
( sP4(sK22,sK21)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(cnf_transformation,[],[f98]) ).
fof(f166,plain,
sdtmndtasgtdt0(xa,xR,xb),
inference(cnf_transformation,[],[f98]) ).
fof(f167,plain,
sdtmndtasgtdt0(xa,xR,xc),
inference(cnf_transformation,[],[f98]) ).
fof(f168,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xc,xR,X0)
| ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f98]) ).
cnf(c_57,plain,
( ~ aElement0(X0)
| ~ aRewritingSystem0(X1)
| sdtmndtasgtdt0(X0,X1,X0) ),
inference(cnf_transformation,[],[f170]) ).
cnf(c_58,plain,
( ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X0)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_92,plain,
( ~ aNormalFormOfIn0(X0,X1,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| aElement0(X0) ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_94,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f144]) ).
cnf(c_97,plain,
aElement0(xc),
inference(cnf_transformation,[],[f149]) ).
cnf(c_98,plain,
aElement0(xb),
inference(cnf_transformation,[],[f148]) ).
cnf(c_99,plain,
aElement0(xa),
inference(cnf_transformation,[],[f147]) ).
cnf(c_103,plain,
( ~ sP4(X0,X1)
| sdtmndtasgtdt0(xc,xR,sK20(X0,X1)) ),
inference(cnf_transformation,[],[f158]) ).
cnf(c_104,plain,
( ~ sP4(X0,X1)
| sdtmndtasgtdt0(xb,xR,sK20(X0,X1)) ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_105,plain,
( ~ sP4(X0,X1)
| aNormalFormOfIn0(sK20(X0,X1),sK19(X0,X1),xR) ),
inference(cnf_transformation,[],[f156]) ).
cnf(c_108,plain,
( ~ sP4(X0,X1)
| aElement0(sK19(X0,X1)) ),
inference(cnf_transformation,[],[f153]) ).
cnf(c_109,negated_conjecture,
( ~ sdtmndtasgtdt0(xc,xR,X0)
| ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f168]) ).
cnf(c_110,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xc),
inference(cnf_transformation,[],[f167]) ).
cnf(c_111,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xb),
inference(cnf_transformation,[],[f166]) ).
cnf(c_112,negated_conjecture,
( ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| sP4(sK22,sK21) ),
inference(cnf_transformation,[],[f165]) ).
cnf(c_1173,plain,
( X0 != sK22
| X1 != sK21
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| aElement0(sK19(X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_108,c_112]) ).
cnf(c_1174,plain,
( ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| aElement0(sK19(sK22,sK21)) ),
inference(unflattening,[status(thm)],[c_1173]) ).
cnf(c_1206,plain,
( X0 != sK22
| X1 != sK21
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| aNormalFormOfIn0(sK20(X0,X1),sK19(X0,X1),xR) ),
inference(resolution_lifted,[status(thm)],[c_105,c_112]) ).
cnf(c_1207,plain,
( ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| aNormalFormOfIn0(sK20(sK22,sK21),sK19(sK22,sK21),xR) ),
inference(unflattening,[status(thm)],[c_1206]) ).
cnf(c_1217,plain,
( X0 != sK22
| X1 != sK21
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| sdtmndtasgtdt0(xb,xR,sK20(X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_104,c_112]) ).
cnf(c_1218,plain,
( ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| sdtmndtasgtdt0(xb,xR,sK20(sK22,sK21)) ),
inference(unflattening,[status(thm)],[c_1217]) ).
cnf(c_1228,plain,
( X0 != sK22
| X1 != sK21
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| sdtmndtasgtdt0(xc,xR,sK20(X0,X1)) ),
inference(resolution_lifted,[status(thm)],[c_103,c_112]) ).
cnf(c_1229,plain,
( ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| sdtmndtasgtdt0(xc,xR,sK20(sK22,sK21)) ),
inference(unflattening,[status(thm)],[c_1228]) ).
cnf(c_1659,plain,
( sK20(sK22,sK21) != X0
| sK19(sK22,sK21) != X1
| X2 != xR
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| aElement0(X0) ),
inference(resolution_lifted,[status(thm)],[c_92,c_1207]) ).
cnf(c_1660,plain,
( ~ aElement0(sK19(sK22,sK21))
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ aRewritingSystem0(xR)
| aElement0(sK20(sK22,sK21)) ),
inference(unflattening,[status(thm)],[c_1659]) ).
cnf(c_1661,plain,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc)
| aElement0(sK20(sK22,sK21)) ),
inference(global_subsumption_just,[status(thm)],[c_1660,c_94,c_1174,c_1660]) ).
cnf(c_1662,plain,
( ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| aElement0(sK20(sK22,sK21)) ),
inference(renaming,[status(thm)],[c_1661]) ).
cnf(c_1893,plain,
( X0 != xR
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| X1 = X2
| sdtmndtplgtdt0(X1,X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_58,c_94]) ).
cnf(c_1894,plain,
( ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X0)
| ~ aElement0(X1)
| X0 = X1
| sdtmndtplgtdt0(X0,xR,X1) ),
inference(unflattening,[status(thm)],[c_1893]) ).
cnf(c_1911,plain,
( X0 != xR
| ~ aElement0(X1)
| sdtmndtasgtdt0(X1,X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_57,c_94]) ).
cnf(c_1912,plain,
( ~ aElement0(X0)
| sdtmndtasgtdt0(X0,xR,X0) ),
inference(unflattening,[status(thm)],[c_1911]) ).
cnf(c_5406,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xb),
inference(demodulation,[status(thm)],[c_111]) ).
cnf(c_5407,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xc),
inference(demodulation,[status(thm)],[c_110]) ).
cnf(c_5408,negated_conjecture,
( ~ sdtmndtasgtdt0(xc,xR,X0)
| ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ aElement0(X0) ),
inference(demodulation,[status(thm)],[c_109]) ).
cnf(c_6481,plain,
( ~ sdtmndtasgtdt0(xb,xR,sK20(sK22,sK21))
| ~ aElement0(sK20(sK22,sK21))
| ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(superposition,[status(thm)],[c_1229,c_5408]) ).
cnf(c_6486,plain,
( ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(global_subsumption_just,[status(thm)],[c_6481,c_1218,c_1662,c_6481]) ).
cnf(c_6520,plain,
( ~ sdtmndtasgtdt0(xb,xR,xc)
| ~ aElement0(xc) ),
inference(superposition,[status(thm)],[c_1912,c_5408]) ).
cnf(c_6521,plain,
~ sdtmndtasgtdt0(xb,xR,xc),
inference(forward_subsumption_resolution,[status(thm)],[c_6520,c_97]) ).
cnf(c_6703,plain,
( ~ aElement0(xc)
| ~ aElement0(xa)
| xc = xa
| sdtmndtplgtdt0(xa,xR,xc) ),
inference(superposition,[status(thm)],[c_5407,c_1894]) ).
cnf(c_6704,plain,
( ~ aElement0(xb)
| ~ aElement0(xa)
| xb = xa
| sdtmndtplgtdt0(xa,xR,xb) ),
inference(superposition,[status(thm)],[c_5406,c_1894]) ).
cnf(c_6707,plain,
( xb = xa
| sdtmndtplgtdt0(xa,xR,xb) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6704,c_99,c_98]) ).
cnf(c_6710,plain,
( xc = xa
| sdtmndtplgtdt0(xa,xR,xc) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6703,c_99,c_97]) ).
cnf(c_6737,plain,
( ~ sdtmndtplgtdt0(xa,xR,xb)
| xc = xa ),
inference(superposition,[status(thm)],[c_6710,c_6486]) ).
cnf(c_6745,plain,
( xc = xa
| xb = xa ),
inference(superposition,[status(thm)],[c_6707,c_6737]) ).
cnf(c_6756,plain,
( ~ sdtmndtasgtdt0(xa,xR,xc)
| xc = xa ),
inference(superposition,[status(thm)],[c_6745,c_6521]) ).
cnf(c_6761,plain,
xc = xa,
inference(forward_subsumption_resolution,[status(thm)],[c_6756,c_5407]) ).
cnf(c_6767,plain,
( ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ sdtmndtasgtdt0(xa,xR,X0)
| ~ aElement0(X0) ),
inference(demodulation,[status(thm)],[c_5408,c_6761]) ).
cnf(c_6792,plain,
( ~ sdtmndtasgtdt0(xa,xR,xb)
| ~ aElement0(xb) ),
inference(superposition,[status(thm)],[c_1912,c_6767]) ).
cnf(c_6793,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6792,c_98,c_5406]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM022+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 00:36:03 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.93/1.18 % SZS status Started for theBenchmark.p
% 3.93/1.18 % SZS status Theorem for theBenchmark.p
% 3.93/1.18
% 3.93/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.93/1.18
% 3.93/1.18 ------ iProver source info
% 3.93/1.18
% 3.93/1.18 git: date: 2024-05-02 19:28:25 +0000
% 3.93/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.93/1.18 git: non_committed_changes: false
% 3.93/1.18
% 3.93/1.18 ------ Parsing...
% 3.93/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.93/1.18
% 3.93/1.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe_e
% 3.93/1.18
% 3.93/1.18 ------ Preprocessing... gs_s sp: 1 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.93/1.18
% 3.93/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.93/1.18 ------ Proving...
% 3.93/1.18 ------ Problem Properties
% 3.93/1.18
% 3.93/1.18
% 3.93/1.18 clauses 58
% 3.93/1.18 conjectures 9
% 3.93/1.18 EPR 22
% 3.93/1.18 Horn 44
% 3.93/1.18 unary 6
% 3.93/1.18 binary 15
% 3.93/1.18 lits 204
% 3.93/1.18 lits eq 1
% 3.93/1.18 fd_pure 0
% 3.93/1.18 fd_pseudo 0
% 3.93/1.18 fd_cond 0
% 3.93/1.18 fd_pseudo_cond 1
% 3.93/1.18 AC symbols 0
% 3.93/1.18
% 3.93/1.18 ------ Schedule dynamic 5 is on
% 3.93/1.18
% 3.93/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.93/1.18
% 3.93/1.18
% 3.93/1.18 ------
% 3.93/1.18 Current options:
% 3.93/1.18 ------
% 3.93/1.18
% 3.93/1.18
% 3.93/1.18
% 3.93/1.18
% 3.93/1.18 ------ Proving...
% 3.93/1.18
% 3.93/1.18
% 3.93/1.18 % SZS status Theorem for theBenchmark.p
% 3.93/1.18
% 3.93/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.93/1.18
% 3.93/1.18
%------------------------------------------------------------------------------