TSTP Solution File: NUM600+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM600+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 : Mon Jun 24 12:54:38 EDT 2024
% Result : Theorem 41.80s 6.75s
% Output : CNFRefutation 41.80s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f66,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aFunction0(X0) )
=> ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPtt) ).
fof(f67,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aFunction0(X0) )
=> aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPttSet) ).
fof(f68,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aSubsetOf0(X1,szDzozmdt0(X0))
=> ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSImg) ).
fof(f73,axiom,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3291) ).
fof(f91,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) )
& szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).
fof(f92,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
& aSet0(X1) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0) ) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4730) ).
fof(f94,axiom,
( isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4854) ).
fof(f95,axiom,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).
fof(f97,conjecture,
! [X0] :
( aElementOf0(X0,xO)
=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(X1,szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f98,negated_conjecture,
~ ! [X0] :
( aElementOf0(X0,xO)
=> ? [X1] :
( sdtlpdtrp0(xe,X1) = X0
& aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(X1,szNzAzT0) ) ),
inference(negated_conjecture,[],[f97]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f194,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f195,plain,
! [X0,X1] :
( ! [X2] :
( sdtlbdtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) ) )
& aSet0(X2) ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(flattening,[],[f194]) ).
fof(f196,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f197,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(flattening,[],[f196]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( sdtlcdtrc0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) ) )
& aSet0(X2) ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f225,plain,
( ! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe) ),
inference(ennf_transformation,[],[f91]) ).
fof(f226,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(ennf_transformation,[],[f92]) ).
fof(f227,plain,
( ! [X0] :
( ! [X1] :
( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xd,X0)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk))
| ~ aSet0(X1) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xd)
& aFunction0(xd) ),
inference(flattening,[],[f226]) ).
fof(f228,plain,
? [X0] :
( ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X1,szNzAzT0) )
& aElementOf0(X0,xO) ),
inference(ennf_transformation,[],[f98]) ).
fof(f291,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlbdtrb0(X0,X1) = X2
| ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(nnf_transformation,[],[f195]) ).
fof(f292,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlbdtrb0(X0,X1) = X2
| ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(flattening,[],[f291]) ).
fof(f293,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlbdtrb0(X0,X1) = X2
| ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sdtlpdtrp0(X0,X4) != X1
| ~ aElementOf0(X4,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X4) = X1
& aElementOf0(X4,szDzozmdt0(X0)) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(rectify,[],[f292]) ).
fof(f294,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sdtlpdtrp0(X0,X3) != X1
| ~ aElementOf0(X3,szDzozmdt0(X0))
| ~ aElementOf0(X3,X2) )
& ( ( sdtlpdtrp0(X0,X3) = X1
& aElementOf0(X3,szDzozmdt0(X0)) )
| aElementOf0(X3,X2) ) )
=> ( ( sdtlpdtrp0(X0,sK16(X0,X1,X2)) != X1
| ~ aElementOf0(sK16(X0,X1,X2),szDzozmdt0(X0))
| ~ aElementOf0(sK16(X0,X1,X2),X2) )
& ( ( sdtlpdtrp0(X0,sK16(X0,X1,X2)) = X1
& aElementOf0(sK16(X0,X1,X2),szDzozmdt0(X0)) )
| aElementOf0(sK16(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f295,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtlbdtrb0(X0,X1) = X2
| ( ( sdtlpdtrp0(X0,sK16(X0,X1,X2)) != X1
| ~ aElementOf0(sK16(X0,X1,X2),szDzozmdt0(X0))
| ~ aElementOf0(sK16(X0,X1,X2),X2) )
& ( ( sdtlpdtrp0(X0,sK16(X0,X1,X2)) = X1
& aElementOf0(sK16(X0,X1,X2),szDzozmdt0(X0)) )
| aElementOf0(sK16(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sdtlpdtrp0(X0,X4) != X1
| ~ aElementOf0(X4,szDzozmdt0(X0)) )
& ( ( sdtlpdtrp0(X0,X4) = X1
& aElementOf0(X4,szDzozmdt0(X0)) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| sdtlbdtrb0(X0,X1) != X2 ) )
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f293,f294]) ).
fof(f296,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( sdtlcdtrc0(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) ) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(nnf_transformation,[],[f198]) ).
fof(f297,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( sdtlcdtrc0(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) ) )
& ( ? [X4] :
( sdtlpdtrp0(X0,X4) = X3
& aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(flattening,[],[f296]) ).
fof(f298,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( sdtlcdtrc0(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = X3
& aElementOf0(X5,X1) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) ) )
& ( ? [X8] :
( sdtlpdtrp0(X0,X8) = X6
& aElementOf0(X8,X1) )
| ~ aElementOf0(X6,X2) ) )
& aSet0(X2) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(rectify,[],[f297]) ).
fof(f299,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != X3
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(X3,X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = X3
& aElementOf0(X5,X1) )
| aElementOf0(X3,X2) ) )
=> ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != sK17(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK17(X0,X1,X2),X2) )
& ( ? [X5] :
( sdtlpdtrp0(X0,X5) = sK17(X0,X1,X2)
& aElementOf0(X5,X1) )
| aElementOf0(sK17(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f300,plain,
! [X0,X1,X2] :
( ? [X5] :
( sdtlpdtrp0(X0,X5) = sK17(X0,X1,X2)
& aElementOf0(X5,X1) )
=> ( sK17(X0,X1,X2) = sdtlpdtrp0(X0,sK18(X0,X1,X2))
& aElementOf0(sK18(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f301,plain,
! [X0,X1,X6] :
( ? [X8] :
( sdtlpdtrp0(X0,X8) = X6
& aElementOf0(X8,X1) )
=> ( sdtlpdtrp0(X0,sK19(X0,X1,X6)) = X6
& aElementOf0(sK19(X0,X1,X6),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f302,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( sdtlcdtrc0(X0,X1) = X2
| ( ( ! [X4] :
( sdtlpdtrp0(X0,X4) != sK17(X0,X1,X2)
| ~ aElementOf0(X4,X1) )
| ~ aElementOf0(sK17(X0,X1,X2),X2) )
& ( ( sK17(X0,X1,X2) = sdtlpdtrp0(X0,sK18(X0,X1,X2))
& aElementOf0(sK18(X0,X1,X2),X1) )
| aElementOf0(sK17(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X6] :
( ( aElementOf0(X6,X2)
| ! [X7] :
( sdtlpdtrp0(X0,X7) != X6
| ~ aElementOf0(X7,X1) ) )
& ( ( sdtlpdtrp0(X0,sK19(X0,X1,X6)) = X6
& aElementOf0(sK19(X0,X1,X6),X1) )
| ~ aElementOf0(X6,X2) ) )
& aSet0(X2) )
| sdtlcdtrc0(X0,X1) != X2 ) )
| ~ aSubsetOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f298,f301,f300,f299]) ).
fof(f318,plain,
( ? [X0] :
( ! [X1] :
( sdtlpdtrp0(xe,X1) != X0
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X1,szNzAzT0) )
& aElementOf0(X0,xO) )
=> ( ! [X1] :
( sdtlpdtrp0(xe,X1) != sK28
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X1,szNzAzT0) )
& aElementOf0(sK28,xO) ) ),
introduced(choice_axiom,[]) ).
fof(f319,plain,
( ! [X1] :
( sdtlpdtrp0(xe,X1) != sK28
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X1,szNzAzT0) )
& aElementOf0(sK28,xO) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f228,f318]) ).
fof(f320,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f437,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,szDzozmdt0(X0))
| ~ aElementOf0(X4,X2)
| sdtlbdtrb0(X0,X1) != X2
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f443,plain,
! [X0,X1] :
( aSubsetOf0(sdtlbdtrb0(X0,X1),szDzozmdt0(X0))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f445,plain,
! [X2,X0,X1,X6] :
( aElementOf0(sK19(X0,X1,X6),X1)
| ~ aElementOf0(X6,X2)
| sdtlcdtrc0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f446,plain,
! [X2,X0,X1,X6] :
( sdtlpdtrp0(X0,sK19(X0,X1,X6)) = X6
| ~ aElementOf0(X6,X2)
| sdtlcdtrc0(X0,X1) != X2
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f463,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f502,plain,
aFunction0(xe),
inference(cnf_transformation,[],[f225]) ).
fof(f503,plain,
szNzAzT0 = szDzozmdt0(xe),
inference(cnf_transformation,[],[f225]) ).
fof(f505,plain,
aFunction0(xd),
inference(cnf_transformation,[],[f227]) ).
fof(f506,plain,
szNzAzT0 = szDzozmdt0(xd),
inference(cnf_transformation,[],[f227]) ).
fof(f509,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f94]) ).
fof(f512,plain,
xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f95]) ).
fof(f515,plain,
aElementOf0(sK28,xO),
inference(cnf_transformation,[],[f319]) ).
fof(f516,plain,
! [X1] :
( sdtlpdtrp0(xe,X1) != sK28
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f542,plain,
! [X0,X1,X4] :
( aElementOf0(X4,szDzozmdt0(X0))
| ~ aElementOf0(X4,sdtlbdtrb0(X0,X1))
| ~ aElement0(X1)
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f437]) ).
fof(f546,plain,
! [X0,X1,X6] :
( sdtlpdtrp0(X0,sK19(X0,X1,X6)) = X6
| ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f446]) ).
fof(f547,plain,
! [X0,X1,X6] :
( aElementOf0(sK19(X0,X1,X6),X1)
| ~ aElementOf0(X6,sdtlcdtrc0(X0,X1))
| ~ aSubsetOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(equality_resolution,[],[f445]) ).
cnf(c_49,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(X0) ),
inference(cnf_transformation,[],[f320]) ).
cnf(c_170,plain,
( ~ aElementOf0(X0,sdtlbdtrb0(X1,X2))
| ~ aElement0(X2)
| ~ aFunction0(X1)
| aElementOf0(X0,szDzozmdt0(X1)) ),
inference(cnf_transformation,[],[f542]) ).
cnf(c_172,plain,
( ~ aElement0(X0)
| ~ aFunction0(X1)
| aSubsetOf0(sdtlbdtrb0(X1,X0),szDzozmdt0(X1)) ),
inference(cnf_transformation,[],[f443]) ).
cnf(c_177,plain,
( ~ aElementOf0(X0,sdtlcdtrc0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1)
| sdtlpdtrp0(X1,sK19(X1,X2,X0)) = X0 ),
inference(cnf_transformation,[],[f546]) ).
cnf(c_178,plain,
( ~ aElementOf0(X0,sdtlcdtrc0(X1,X2))
| ~ aSubsetOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1)
| aElementOf0(sK19(X1,X2,X0),X2) ),
inference(cnf_transformation,[],[f547]) ).
cnf(c_193,plain,
aSet0(xT),
inference(cnf_transformation,[],[f463]) ).
cnf(c_232,plain,
szDzozmdt0(xe) = szNzAzT0,
inference(cnf_transformation,[],[f503]) ).
cnf(c_233,plain,
aFunction0(xe),
inference(cnf_transformation,[],[f502]) ).
cnf(c_235,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(cnf_transformation,[],[f506]) ).
cnf(c_236,plain,
aFunction0(xd),
inference(cnf_transformation,[],[f505]) ).
cnf(c_239,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f509]) ).
cnf(c_240,plain,
sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) = xO,
inference(cnf_transformation,[],[f512]) ).
cnf(c_244,negated_conjecture,
( sdtlpdtrp0(xe,X0) != sK28
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f516]) ).
cnf(c_245,negated_conjecture,
aElementOf0(sK28,xO),
inference(cnf_transformation,[],[f515]) ).
cnf(c_15161,plain,
szDzizrdt0(xd) = sP0_iProver_def,
definition ).
cnf(c_15162,plain,
sdtlbdtrb0(xd,sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_15163,negated_conjecture,
aElementOf0(sK28,xO),
inference(demodulation,[status(thm)],[c_245]) ).
cnf(c_15164,negated_conjecture,
( sdtlpdtrp0(xe,X0) != sK28
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,sP1_iProver_def) ),
inference(demodulation,[status(thm)],[c_244,c_15161,c_15162]) ).
cnf(c_18090,plain,
aElementOf0(sP0_iProver_def,xT),
inference(light_normalisation,[status(thm)],[c_239,c_15161]) ).
cnf(c_18252,plain,
( ~ aSet0(xT)
| aElement0(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_18090,c_49]) ).
cnf(c_18253,plain,
aElement0(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_18252,c_193]) ).
cnf(c_18274,plain,
sdtlcdtrc0(xe,sP1_iProver_def) = xO,
inference(light_normalisation,[status(thm)],[c_240,c_15161,c_15162]) ).
cnf(c_19326,plain,
( ~ aElement0(sP0_iProver_def)
| ~ aFunction0(xd)
| aSubsetOf0(sP1_iProver_def,szDzozmdt0(xd)) ),
inference(superposition,[status(thm)],[c_15162,c_172]) ).
cnf(c_19333,plain,
( ~ aElement0(sP0_iProver_def)
| ~ aFunction0(xd)
| aSubsetOf0(sP1_iProver_def,szNzAzT0) ),
inference(light_normalisation,[status(thm)],[c_19326,c_235]) ).
cnf(c_19334,plain,
aSubsetOf0(sP1_iProver_def,szNzAzT0),
inference(forward_subsumption_resolution,[status(thm)],[c_19333,c_236,c_18253]) ).
cnf(c_21765,plain,
( ~ aElementOf0(X0,sP1_iProver_def)
| ~ aElement0(sP0_iProver_def)
| ~ aFunction0(xd)
| aElementOf0(X0,szDzozmdt0(xd)) ),
inference(superposition,[status(thm)],[c_15162,c_170]) ).
cnf(c_21768,plain,
( ~ aElementOf0(X0,sP1_iProver_def)
| ~ aElement0(sP0_iProver_def)
| ~ aFunction0(xd)
| aElementOf0(X0,szNzAzT0) ),
inference(light_normalisation,[status(thm)],[c_21765,c_235]) ).
cnf(c_21769,plain,
( ~ aElementOf0(X0,sP1_iProver_def)
| aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21768,c_236,c_18253]) ).
cnf(c_21803,plain,
( sdtlpdtrp0(xe,X0) != sK28
| ~ aElementOf0(X0,sP1_iProver_def) ),
inference(backward_subsumption_resolution,[status(thm)],[c_15164,c_21769]) ).
cnf(c_29931,plain,
( ~ aSubsetOf0(sP1_iProver_def,szDzozmdt0(xe))
| ~ aElementOf0(X0,xO)
| ~ aFunction0(xe)
| sdtlpdtrp0(xe,sK19(xe,sP1_iProver_def,X0)) = X0 ),
inference(superposition,[status(thm)],[c_18274,c_177]) ).
cnf(c_29940,plain,
( ~ aElementOf0(X0,xO)
| ~ aSubsetOf0(sP1_iProver_def,szNzAzT0)
| ~ aFunction0(xe)
| sdtlpdtrp0(xe,sK19(xe,sP1_iProver_def,X0)) = X0 ),
inference(light_normalisation,[status(thm)],[c_29931,c_232]) ).
cnf(c_29941,plain,
( ~ aElementOf0(X0,xO)
| sdtlpdtrp0(xe,sK19(xe,sP1_iProver_def,X0)) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_29940,c_233,c_19334]) ).
cnf(c_162352,plain,
sdtlpdtrp0(xe,sK19(xe,sP1_iProver_def,sK28)) = sK28,
inference(superposition,[status(thm)],[c_15163,c_29941]) ).
cnf(c_162922,plain,
~ aElementOf0(sK19(xe,sP1_iProver_def,sK28),sP1_iProver_def),
inference(superposition,[status(thm)],[c_162352,c_21803]) ).
cnf(c_163012,plain,
( ~ aElementOf0(sK28,sdtlcdtrc0(xe,sP1_iProver_def))
| ~ aSubsetOf0(sP1_iProver_def,szDzozmdt0(xe))
| ~ aFunction0(xe) ),
inference(superposition,[status(thm)],[c_178,c_162922]) ).
cnf(c_163013,plain,
( ~ aElementOf0(sK28,xO)
| ~ aSubsetOf0(sP1_iProver_def,szNzAzT0)
| ~ aFunction0(xe) ),
inference(light_normalisation,[status(thm)],[c_163012,c_232,c_18274]) ).
cnf(c_163014,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_163013,c_233,c_19334,c_15163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM600+1 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jun 23 01:30:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 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
% 41.80/6.75 % SZS status Started for theBenchmark.p
% 41.80/6.75 % SZS status Theorem for theBenchmark.p
% 41.80/6.75
% 41.80/6.75 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 41.80/6.75
% 41.80/6.75 ------ iProver source info
% 41.80/6.75
% 41.80/6.75 git: date: 2024-06-12 09:56:46 +0000
% 41.80/6.75 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 41.80/6.75 git: non_committed_changes: false
% 41.80/6.75
% 41.80/6.75 ------ Parsing...
% 41.80/6.75 ------ Clausification by vclausify_rel & Parsing by iProver...
% 41.80/6.75
% 41.80/6.75 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 41.80/6.75
% 41.80/6.75 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 41.80/6.75
% 41.80/6.75 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 41.80/6.75 ------ Proving...
% 41.80/6.75 ------ Problem Properties
% 41.80/6.75
% 41.80/6.75
% 41.80/6.75 clauses 194
% 41.80/6.75 conjectures 2
% 41.80/6.75 EPR 44
% 41.80/6.75 Horn 155
% 41.80/6.75 unary 38
% 41.80/6.75 binary 29
% 41.80/6.75 lits 648
% 41.80/6.75 lits eq 105
% 41.80/6.75 fd_pure 0
% 41.80/6.75 fd_pseudo 0
% 41.80/6.75 fd_cond 10
% 41.80/6.75 fd_pseudo_cond 25
% 41.80/6.75 AC symbols 0
% 41.80/6.75
% 41.80/6.75 ------ Schedule dynamic 5 is on
% 41.80/6.75
% 41.80/6.75 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 41.80/6.75
% 41.80/6.75
% 41.80/6.75 ------
% 41.80/6.75 Current options:
% 41.80/6.75 ------
% 41.80/6.75
% 41.80/6.75
% 41.80/6.75
% 41.80/6.75
% 41.80/6.75 ------ Proving...
% 41.80/6.75
% 41.80/6.75
% 41.80/6.75 % SZS status Theorem for theBenchmark.p
% 41.80/6.75
% 41.80/6.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 41.80/6.75
% 41.80/6.75
%------------------------------------------------------------------------------