TSTP Solution File: NUM542+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM542+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 : Thu Aug 31 11:31:18 EDT 2023
% Result : Theorem 38.33s 6.22s
% Output : CNFRefutation 38.33s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f301)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
fof(f30,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
fof(f31,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(X0),sz00) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNoScLessZr) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTrans) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
fof(f54,axiom,
( aElementOf0(xn,szNzAzT0)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1964) ).
fof(f55,conjecture,
( sdtlseqdt0(xm,xn)
<=> aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f56,negated_conjecture,
~ ( sdtlseqdt0(xm,xn)
<=> aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
inference(negated_conjecture,[],[f55]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f93,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f96,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f97,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f96]) ).
fof(f99,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f100,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f107,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f108,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f107]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f132,plain,
( sdtlseqdt0(xm,xn)
<~> aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
inference(ennf_transformation,[],[f56]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f70]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f145]) ).
fof(f147,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f146,f147]) ).
fof(f161,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK8(X0)) = X0
& aElementOf0(sK8(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
! [X0] :
( ( szszuzczcdt0(sK8(X0)) = X0
& aElementOf0(sK8(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f97,f161]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f128]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f179]) ).
fof(f181,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
=> ( ( ~ sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
| ~ aElementOf0(sK12(X0,X1),szNzAzT0)
| ~ aElementOf0(sK12(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
& aElementOf0(sK12(X0,X1),szNzAzT0) )
| aElementOf0(sK12(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ( ( ~ sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
| ~ aElementOf0(sK12(X0,X1),szNzAzT0)
| ~ aElementOf0(sK12(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
& aElementOf0(sK12(X0,X1),szNzAzT0) )
| aElementOf0(sK12(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f180,f181]) ).
fof(f185,plain,
( ( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) )
& ( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(xm,xn) ) ),
inference(nnf_transformation,[],[f132]) ).
fof(f186,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f194,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f195,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f196,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f233,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f234,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f235,plain,
! [X0] :
( sz00 != szszuzczcdt0(X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f237,plain,
! [X0] :
( aElementOf0(sK8(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f238,plain,
! [X0] :
( szszuzczcdt0(sK8(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f240,plain,
! [X0] :
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f241,plain,
! [X0] :
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f247,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f268,plain,
! [X0,X1] :
( aSet0(X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f269,plain,
! [X3,X0,X1] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f270,plain,
! [X3,X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f271,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f280,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f54]) ).
fof(f281,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f54]) ).
fof(f282,plain,
( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(xm,xn) ),
inference(cnf_transformation,[],[f185]) ).
fof(f283,plain,
( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) ),
inference(cnf_transformation,[],[f185]) ).
fof(f296,plain,
! [X3,X0] :
( aElementOf0(X3,slbdtrb0(X0))
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f271]) ).
fof(f297,plain,
! [X3,X0] :
( sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f270]) ).
fof(f298,plain,
! [X3,X0] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f269]) ).
fof(f299,plain,
! [X0] :
( aSet0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f268]) ).
cnf(c_49,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(X0) ),
inference(cnf_transformation,[],[f186]) ).
cnf(c_56,plain,
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f196]) ).
cnf(c_57,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| aElementOf0(sK5(X1,X0),X0)
| aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f195]) ).
cnf(c_58,plain,
( ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| aElementOf0(X0,X2) ),
inference(cnf_transformation,[],[f194]) ).
cnf(c_96,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f233]) ).
cnf(c_97,plain,
( szszuzczcdt0(X0) != sz00
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f235]) ).
cnf(c_98,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f234]) ).
cnf(c_100,plain,
( ~ aElementOf0(X0,szNzAzT0)
| szszuzczcdt0(sK8(X0)) = X0
| X0 = sz00 ),
inference(cnf_transformation,[],[f238]) ).
cnf(c_101,plain,
( ~ aElementOf0(X0,szNzAzT0)
| X0 = sz00
| aElementOf0(sK8(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f237]) ).
cnf(c_103,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) ),
inference(cnf_transformation,[],[f240]) ).
cnf(c_104,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),sz00)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f241]) ).
cnf(c_110,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(X2,X1) ),
inference(cnf_transformation,[],[f247]) ).
cnf(c_134,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,slbdtrb0(X1)) ),
inference(cnf_transformation,[],[f296]) ).
cnf(c_135,plain,
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),X1) ),
inference(cnf_transformation,[],[f297]) ).
cnf(c_136,plain,
( ~ aElementOf0(X0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f298]) ).
cnf(c_137,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(cnf_transformation,[],[f299]) ).
cnf(c_140,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(X0))) ),
inference(cnf_transformation,[],[f301]) ).
cnf(c_143,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f281]) ).
cnf(c_144,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f280]) ).
cnf(c_145,negated_conjecture,
( ~ aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| ~ sdtlseqdt0(xm,xn) ),
inference(cnf_transformation,[],[f283]) ).
cnf(c_146,negated_conjecture,
( aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn))
| sdtlseqdt0(xm,xn) ),
inference(cnf_transformation,[],[f282]) ).
cnf(c_7433,plain,
( X0 != X1
| X2 != X3
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X0,X2) ),
theory(equality) ).
cnf(c_9414,plain,
( ~ aElementOf0(xn,szNzAzT0)
| sdtlseqdt0(sz00,xn) ),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_9418,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aSet0(slbdtrb0(xn)) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_9419,plain,
( ~ aElementOf0(xm,szNzAzT0)
| aSet0(slbdtrb0(xm)) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_9473,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| sdtlseqdt0(sz00,sz00) ),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_9482,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| sz00 = sz00
| aElementOf0(sK8(sz00),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_9484,plain,
( ~ aElementOf0(xm,szNzAzT0)
| xm = sz00
| aElementOf0(sK8(xm),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_10266,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(szszuzczcdt0(X0))) ),
inference(superposition,[status(thm)],[c_98,c_137]) ).
cnf(c_10413,plain,
( ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0) ),
inference(superposition,[status(thm)],[c_140,c_49]) ).
cnf(c_11400,plain,
( szszuzczcdt0(sK8(xm)) = xm
| sz00 = xm ),
inference(superposition,[status(thm)],[c_144,c_100]) ).
cnf(c_11791,plain,
( ~ aElementOf0(sK8(xm),szNzAzT0)
| sz00 = xm
| aElementOf0(sK8(xm),slbdtrb0(xm)) ),
inference(superposition,[status(thm)],[c_11400,c_140]) ).
cnf(c_11798,plain,
( ~ aElementOf0(sK8(xm),szNzAzT0)
| ~ sdtlseqdt0(xm,sz00)
| sz00 = xm ),
inference(superposition,[status(thm)],[c_11400,c_104]) ).
cnf(c_12544,plain,
( ~ aElementOf0(xm,szNzAzT0)
| ~ sdtlseqdt0(xm,sz00)
| sz00 = xm ),
inference(superposition,[status(thm)],[c_101,c_11798]) ).
cnf(c_12545,plain,
( ~ sdtlseqdt0(xm,sz00)
| sz00 = xm ),
inference(global_subsumption_just,[status(thm)],[c_12544,c_144,c_12544]) ).
cnf(c_13069,plain,
( ~ aSet0(slbdtrb0(xn))
| ~ aSet0(slbdtrb0(xm))
| aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),slbdtrb0(xm))
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_15547,plain,
( X0 != sz00
| X1 != sz00
| ~ sdtlseqdt0(sz00,sz00)
| sdtlseqdt0(X0,X1) ),
inference(instantiation,[status(thm)],[c_7433]) ).
cnf(c_15691,plain,
( ~ aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),slbdtrb0(xm))
| ~ aElementOf0(xm,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(sK5(slbdtrb0(xn),slbdtrb0(xm))),xm) ),
inference(instantiation,[status(thm)],[c_135]) ).
cnf(c_15692,plain,
( ~ aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),slbdtrb0(xm))
| ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_136]) ).
cnf(c_16130,plain,
( X0 != sz00
| sz00 != sz00
| ~ sdtlseqdt0(sz00,sz00)
| sdtlseqdt0(X0,sz00) ),
inference(instantiation,[status(thm)],[c_15547]) ).
cnf(c_18752,plain,
( sz00 != sz00
| xm != sz00
| ~ sdtlseqdt0(sz00,sz00)
| sdtlseqdt0(xm,sz00) ),
inference(instantiation,[status(thm)],[c_16130]) ).
cnf(c_19486,plain,
( ~ aElementOf0(sK8(sz00),szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0)
| sz00 = sz00 ),
inference(resolution,[status(thm)],[c_100,c_97]) ).
cnf(c_22493,plain,
( szszuzczcdt0(sK8(xm)) = xm
| sz00 = xm ),
inference(superposition,[status(thm)],[c_144,c_100]) ).
cnf(c_22533,plain,
( ~ aElementOf0(sK8(xm),szNzAzT0)
| sz00 = xm
| aElementOf0(sK8(xm),slbdtrb0(xm)) ),
inference(superposition,[status(thm)],[c_22493,c_140]) ).
cnf(c_23323,plain,
( sz00 = xm
| aElementOf0(sK8(xm),slbdtrb0(xm)) ),
inference(global_subsumption_just,[status(thm)],[c_22533,c_144,c_96,c_9473,c_9482,c_9484,c_11791,c_12545,c_18752,c_19486]) ).
cnf(c_23327,plain,
( ~ aSubsetOf0(slbdtrb0(xm),X0)
| ~ aSet0(X0)
| sz00 = xm
| aElementOf0(sK8(xm),X0) ),
inference(superposition,[status(thm)],[c_23323,c_58]) ).
cnf(c_24649,plain,
( ~ aElementOf0(szszuzczcdt0(sK5(slbdtrb0(xn),slbdtrb0(xm))),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(sK5(slbdtrb0(xn),slbdtrb0(xm))),xm)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(xm,X0)
| ~ aElementOf0(xm,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(sK5(slbdtrb0(xn),slbdtrb0(xm))),X0) ),
inference(instantiation,[status(thm)],[c_110]) ).
cnf(c_24674,plain,
( ~ aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),szNzAzT0)
| aElementOf0(szszuzczcdt0(sK5(slbdtrb0(xn),slbdtrb0(xm))),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_27248,plain,
( ~ sdtlseqdt0(szszuzczcdt0(sK5(slbdtrb0(xn),slbdtrb0(xm))),xn)
| ~ aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),slbdtrb0(xn)) ),
inference(instantiation,[status(thm)],[c_134]) ).
cnf(c_27701,plain,
( ~ aElementOf0(szszuzczcdt0(sK5(slbdtrb0(xn),slbdtrb0(xm))),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(sK5(slbdtrb0(xn),slbdtrb0(xm))),xm)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(sK5(slbdtrb0(xn),slbdtrb0(xm))),xn) ),
inference(instantiation,[status(thm)],[c_24649]) ).
cnf(c_28832,plain,
( ~ aSet0(slbdtrb0(xn))
| sz00 = xm
| aElementOf0(sK8(xm),slbdtrb0(xn))
| sdtlseqdt0(xm,xn) ),
inference(superposition,[status(thm)],[c_146,c_23327]) ).
cnf(c_30025,plain,
( sz00 = xm
| aElementOf0(sK8(xm),slbdtrb0(xn))
| sdtlseqdt0(xm,xn) ),
inference(global_subsumption_just,[status(thm)],[c_28832,c_143,c_9418,c_28832]) ).
cnf(c_30032,plain,
( ~ aElementOf0(xn,szNzAzT0)
| sz00 = xm
| sdtlseqdt0(szszuzczcdt0(sK8(xm)),xn)
| sdtlseqdt0(xm,xn) ),
inference(superposition,[status(thm)],[c_30025,c_135]) ).
cnf(c_30125,plain,
( sz00 = xm
| sdtlseqdt0(szszuzczcdt0(sK8(xm)),xn)
| sdtlseqdt0(xm,xn) ),
inference(global_subsumption_just,[status(thm)],[c_30032,c_143,c_30032]) ).
cnf(c_30127,plain,
( sz00 = xm
| sdtlseqdt0(xm,xn) ),
inference(superposition,[status(thm)],[c_22493,c_30125]) ).
cnf(c_34347,plain,
( ~ aElementOf0(sK5(slbdtrb0(xn),slbdtrb0(xm)),slbdtrb0(xn))
| ~ aSet0(slbdtrb0(xn))
| ~ aSet0(slbdtrb0(xm))
| aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_36381,negated_conjecture,
aSubsetOf0(slbdtrb0(xm),slbdtrb0(xn)),
inference(global_subsumption_just,[status(thm)],[c_146,c_144,c_143,c_146,c_9418,c_9419,c_13069,c_15692,c_15691,c_24674,c_27248,c_27701,c_34347]) ).
cnf(c_36383,negated_conjecture,
~ sdtlseqdt0(xm,xn),
inference(global_subsumption_just,[status(thm)],[c_145,c_144,c_143,c_146,c_145,c_9418,c_9419,c_13069,c_15692,c_15691,c_24674,c_27248,c_27701,c_34347]) ).
cnf(c_36431,plain,
( ~ aSet0(slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0) ),
inference(superposition,[status(thm)],[c_140,c_49]) ).
cnf(c_36474,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElement0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_36431,c_10266,c_10413]) ).
cnf(c_36479,plain,
( ~ aElementOf0(X0,szNzAzT0)
| X0 = sz00
| aElement0(sK8(X0)) ),
inference(superposition,[status(thm)],[c_101,c_36474]) ).
cnf(c_36508,plain,
( sz00 = xm
| aElement0(sK8(xm)) ),
inference(superposition,[status(thm)],[c_144,c_36479]) ).
cnf(c_36509,plain,
sz00 = xm,
inference(global_subsumption_just,[status(thm)],[c_36508,c_145,c_30127,c_36381]) ).
cnf(c_36519,plain,
~ sdtlseqdt0(sz00,xn),
inference(superposition,[status(thm)],[c_36509,c_36383]) ).
cnf(c_36521,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_36519,c_9414,c_143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM542+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.17/0.35 % Computer : n014.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Fri Aug 25 17:41:33 EDT 2023
% 0.17/0.35 % 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 --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 38.33/6.22 % SZS status Started for theBenchmark.p
% 38.33/6.22 % SZS status Theorem for theBenchmark.p
% 38.33/6.22
% 38.33/6.22 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 38.33/6.22
% 38.33/6.22 ------ iProver source info
% 38.33/6.22
% 38.33/6.22 git: date: 2023-05-31 18:12:56 +0000
% 38.33/6.22 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 38.33/6.22 git: non_committed_changes: false
% 38.33/6.22 git: last_make_outside_of_git: false
% 38.33/6.22
% 38.33/6.22 ------ Parsing...
% 38.33/6.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 38.33/6.22
% 38.33/6.22 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 38.33/6.22
% 38.33/6.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 38.33/6.22
% 38.33/6.22 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 38.33/6.22 ------ Proving...
% 38.33/6.22 ------ Problem Properties
% 38.33/6.22
% 38.33/6.22
% 38.33/6.22 clauses 96
% 38.33/6.22 conjectures 2
% 38.33/6.22 EPR 31
% 38.33/6.22 Horn 68
% 38.33/6.22 unary 11
% 38.33/6.22 binary 17
% 38.33/6.22 lits 320
% 38.33/6.22 lits eq 46
% 38.33/6.22 fd_pure 0
% 38.33/6.22 fd_pseudo 0
% 38.33/6.22 fd_cond 8
% 38.33/6.22 fd_pseudo_cond 15
% 38.33/6.22 AC symbols 0
% 38.33/6.22
% 38.33/6.22 ------ Input Options Time Limit: Unbounded
% 38.33/6.22
% 38.33/6.22
% 38.33/6.22 ------
% 38.33/6.22 Current options:
% 38.33/6.22 ------
% 38.33/6.22
% 38.33/6.22
% 38.33/6.22
% 38.33/6.22
% 38.33/6.22 ------ Proving...
% 38.33/6.22
% 38.33/6.22
% 38.33/6.22 % SZS status Theorem for theBenchmark.p
% 38.33/6.22
% 38.33/6.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 38.33/6.22
% 38.33/6.22
%------------------------------------------------------------------------------