TSTP Solution File: RNG126+4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG126+4 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 : Tue May 21 02:43:42 EDT 2024
% Result : Theorem 6.24s 1.26s
% Output : Refutation 6.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 52 ( 12 unt; 0 def)
% Number of atoms : 372 ( 108 equ)
% Maximal formula atoms : 28 ( 7 avg)
% Number of connectives : 447 ( 127 ~; 104 |; 173 &)
% ( 19 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 9 con; 0-2 aty)
% Number of variables : 175 ( 113 !; 62 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18922,plain,
$false,
inference(subsumption_resolution,[],[f18921,f303]) ).
fof(f303,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ( ~ aElementOf0(X0,xI)
& ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) ) )
& sz00 != xu
& aElementOf0(xu,xI)
& xu = sdtpldt0(sK26,sK27)
& aElementOf0(sK27,slsdtgt0(xb))
& aElementOf0(sK26,slsdtgt0(xa)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f71,f166]) ).
fof(f166,plain,
( ? [X3,X4] :
( xu = sdtpldt0(X3,X4)
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) )
=> ( xu = sdtpldt0(sK26,sK27)
& aElementOf0(sK27,slsdtgt0(xb))
& aElementOf0(sK26,slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ( ~ aElementOf0(X0,xI)
& ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) ) )
& sz00 != xu
& aElementOf0(xu,xI)
& ? [X3,X4] :
( xu = sdtpldt0(X3,X4)
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ( ~ aElementOf0(X0,xI)
& ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) ) )
& sz00 != xu
& aElementOf0(xu,xI)
& ? [X3,X4] :
( xu = sdtpldt0(X3,X4)
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
( ! [X0] :
( ( sz00 != X0
& ( aElementOf0(X0,xI)
| ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& sz00 != xu
& aElementOf0(xu,xI)
& ? [X3,X4] :
( xu = sdtpldt0(X3,X4)
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) ) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
( ! [X0] :
( ( sz00 != X0
& ( aElementOf0(X0,xI)
| ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) ) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& sz00 != xu
& aElementOf0(xu,xI)
& ? [X0,X1] :
( sdtpldt0(X0,X1) = xu
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).
fof(f18921,plain,
~ aElementOf0(xu,xI),
inference(subsumption_resolution,[],[f18920,f308]) ).
fof(f308,plain,
aElement0(sK28),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
( xc = sdtasdt0(xu,sK28)
& aElement0(sK28) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f47,f168]) ).
fof(f168,plain,
( ? [X0] :
( xc = sdtasdt0(xu,X0)
& aElement0(X0) )
=> ( xc = sdtasdt0(xu,sK28)
& aElement0(sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f47,axiom,
? [X0] :
( xc = sdtasdt0(xu,X0)
& aElement0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2744) ).
fof(f18920,plain,
( ~ aElement0(sK28)
| ~ aElementOf0(xu,xI) ),
inference(subsumption_resolution,[],[f18907,f486]) ).
fof(f486,plain,
~ aElementOf0(xc,xI),
inference(superposition,[],[f242,f257]) ).
fof(f257,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( ( aElementOf0(X0,xI)
| ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) )
& ( ( sdtpldt0(sK13(X0),sK14(X0)) = X0
& aElementOf0(sK14(X0),slsdtgt0(xb))
& aElementOf0(sK13(X0),slsdtgt0(xa)) )
| ~ aElementOf0(X0,xI) ) )
& ! [X5] :
( ( aElementOf0(X5,slsdtgt0(xb))
| ! [X6] :
( sdtasdt0(xb,X6) != X5
| ~ aElement0(X6) ) )
& ( ( sdtasdt0(xb,sK15(X5)) = X5
& aElement0(sK15(X5)) )
| ~ aElementOf0(X5,slsdtgt0(xb)) ) )
& ! [X8] :
( ( aElementOf0(X8,slsdtgt0(xa))
| ! [X9] :
( sdtasdt0(xa,X9) != X8
| ~ aElement0(X9) ) )
& ( ( sdtasdt0(xa,sK16(X8)) = X8
& aElement0(sK16(X8)) )
| ~ aElementOf0(X8,slsdtgt0(xa)) ) )
& aIdeal0(xI)
& ! [X11] :
( ( ! [X12] :
( aElementOf0(sdtasdt0(X12,X11),xI)
| ~ aElement0(X12) )
& ! [X13] :
( aElementOf0(sdtpldt0(X11,X13),xI)
| ~ aElementOf0(X13,xI) ) )
| ~ aElementOf0(X11,xI) )
& aSet0(xI) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f145,f148,f147,f146]) ).
fof(f146,plain,
! [X0] :
( ? [X3,X4] :
( sdtpldt0(X3,X4) = X0
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) )
=> ( sdtpldt0(sK13(X0),sK14(X0)) = X0
& aElementOf0(sK14(X0),slsdtgt0(xb))
& aElementOf0(sK13(X0),slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
! [X5] :
( ? [X7] :
( sdtasdt0(xb,X7) = X5
& aElement0(X7) )
=> ( sdtasdt0(xb,sK15(X5)) = X5
& aElement0(sK15(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X8] :
( ? [X10] :
( sdtasdt0(xa,X10) = X8
& aElement0(X10) )
=> ( sdtasdt0(xa,sK16(X8)) = X8
& aElement0(sK16(X8)) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( ( aElementOf0(X0,xI)
| ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) )
& ( ? [X3,X4] :
( sdtpldt0(X3,X4) = X0
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) )
| ~ aElementOf0(X0,xI) ) )
& ! [X5] :
( ( aElementOf0(X5,slsdtgt0(xb))
| ! [X6] :
( sdtasdt0(xb,X6) != X5
| ~ aElement0(X6) ) )
& ( ? [X7] :
( sdtasdt0(xb,X7) = X5
& aElement0(X7) )
| ~ aElementOf0(X5,slsdtgt0(xb)) ) )
& ! [X8] :
( ( aElementOf0(X8,slsdtgt0(xa))
| ! [X9] :
( sdtasdt0(xa,X9) != X8
| ~ aElement0(X9) ) )
& ( ? [X10] :
( sdtasdt0(xa,X10) = X8
& aElement0(X10) )
| ~ aElementOf0(X8,slsdtgt0(xa)) ) )
& aIdeal0(xI)
& ! [X11] :
( ( ! [X12] :
( aElementOf0(sdtasdt0(X12,X11),xI)
| ~ aElement0(X12) )
& ! [X13] :
( aElementOf0(sdtpldt0(X11,X13),xI)
| ~ aElementOf0(X13,xI) ) )
| ~ aElementOf0(X11,xI) )
& aSet0(xI) ),
inference(rectify,[],[f144]) ).
fof(f144,plain,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( ( aElementOf0(X0,xI)
| ! [X1,X2] :
( sdtpldt0(X1,X2) != X0
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ) )
& ( ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) )
| ~ aElementOf0(X0,xI) ) )
& ! [X3] :
( ( aElementOf0(X3,slsdtgt0(xb))
| ! [X4] :
( sdtasdt0(xb,X4) != X3
| ~ aElement0(X4) ) )
& ( ? [X4] :
( sdtasdt0(xb,X4) = X3
& aElement0(X4) )
| ~ aElementOf0(X3,slsdtgt0(xb)) ) )
& ! [X5] :
( ( aElementOf0(X5,slsdtgt0(xa))
| ! [X6] :
( sdtasdt0(xa,X6) != X5
| ~ aElement0(X6) ) )
& ( ? [X6] :
( sdtasdt0(xa,X6) = X5
& aElement0(X6) )
| ~ aElementOf0(X5,slsdtgt0(xa)) ) )
& aIdeal0(xI)
& ! [X7] :
( ( ! [X8] :
( aElementOf0(sdtasdt0(X8,X7),xI)
| ~ aElement0(X8) )
& ! [X9] :
( aElementOf0(sdtpldt0(X7,X9),xI)
| ~ aElementOf0(X9,xI) ) )
| ~ aElementOf0(X7,xI) )
& aSet0(xI) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( aElementOf0(X0,xI)
<=> ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) )
& ! [X3] :
( aElementOf0(X3,slsdtgt0(xb))
<=> ? [X4] :
( sdtasdt0(xb,X4) = X3
& aElement0(X4) ) )
& ! [X5] :
( aElementOf0(X5,slsdtgt0(xa))
<=> ? [X6] :
( sdtasdt0(xa,X6) = X5
& aElement0(X6) ) )
& aIdeal0(xI)
& ! [X7] :
( ( ! [X8] :
( aElementOf0(sdtasdt0(X8,X7),xI)
| ~ aElement0(X8) )
& ! [X9] :
( aElementOf0(sdtpldt0(X7,X9),xI)
| ~ aElementOf0(X9,xI) ) )
| ~ aElementOf0(X7,xI) )
& aSet0(xI) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( aElementOf0(X0,xI)
<=> ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) )
& ! [X3] :
( aElementOf0(X3,slsdtgt0(xb))
<=> ? [X4] :
( sdtasdt0(xb,X4) = X3
& aElement0(X4) ) )
& ! [X5] :
( aElementOf0(X5,slsdtgt0(xa))
<=> ? [X6] :
( sdtasdt0(xa,X6) = X5
& aElement0(X6) ) )
& aIdeal0(xI)
& ! [X7] :
( aElementOf0(X7,xI)
=> ( ! [X8] :
( aElement0(X8)
=> aElementOf0(sdtasdt0(X8,X7),xI) )
& ! [X9] :
( aElementOf0(X9,xI)
=> aElementOf0(sdtpldt0(X7,X9),xI) ) ) )
& aSet0(xI) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& ! [X0] :
( aElementOf0(X0,xI)
<=> ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) ) )
& ! [X0] :
( aElementOf0(X0,slsdtgt0(xb))
<=> ? [X1] :
( sdtasdt0(xb,X1) = X0
& aElement0(X1) ) )
& ! [X0] :
( aElementOf0(X0,slsdtgt0(xa))
<=> ? [X1] :
( sdtasdt0(xa,X1) = X0
& aElement0(X1) ) )
& aIdeal0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) )
& ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& aSet0(xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).
fof(f242,plain,
~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ! [X0,X1] :
( sdtpldt0(X0,X1) != xc
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) )
& ! [X2] :
( ( aElementOf0(X2,slsdtgt0(xb))
| ! [X3] :
( sdtasdt0(xb,X3) != X2
| ~ aElement0(X3) ) )
& ( ( sdtasdt0(xb,sK11(X2)) = X2
& aElement0(sK11(X2)) )
| ~ aElementOf0(X2,slsdtgt0(xb)) ) )
& ! [X5] :
( ( aElementOf0(X5,slsdtgt0(xa))
| ! [X6] :
( sdtasdt0(xa,X6) != X5
| ~ aElement0(X6) ) )
& ( ( sdtasdt0(xa,sK12(X5)) = X5
& aElement0(sK12(X5)) )
| ~ aElementOf0(X5,slsdtgt0(xa)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f140,f142,f141]) ).
fof(f141,plain,
! [X2] :
( ? [X4] :
( sdtasdt0(xb,X4) = X2
& aElement0(X4) )
=> ( sdtasdt0(xb,sK11(X2)) = X2
& aElement0(sK11(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
! [X5] :
( ? [X7] :
( sdtasdt0(xa,X7) = X5
& aElement0(X7) )
=> ( sdtasdt0(xa,sK12(X5)) = X5
& aElement0(sK12(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
( ~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ! [X0,X1] :
( sdtpldt0(X0,X1) != xc
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) )
& ! [X2] :
( ( aElementOf0(X2,slsdtgt0(xb))
| ! [X3] :
( sdtasdt0(xb,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X4] :
( sdtasdt0(xb,X4) = X2
& aElement0(X4) )
| ~ aElementOf0(X2,slsdtgt0(xb)) ) )
& ! [X5] :
( ( aElementOf0(X5,slsdtgt0(xa))
| ! [X6] :
( sdtasdt0(xa,X6) != X5
| ~ aElement0(X6) ) )
& ( ? [X7] :
( sdtasdt0(xa,X7) = X5
& aElement0(X7) )
| ~ aElementOf0(X5,slsdtgt0(xa)) ) ) ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
( ~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ! [X4,X5] :
( sdtpldt0(X4,X5) != xc
| ~ aElementOf0(X5,slsdtgt0(xb))
| ~ aElementOf0(X4,slsdtgt0(xa)) )
& ! [X2] :
( ( aElementOf0(X2,slsdtgt0(xb))
| ! [X3] :
( sdtasdt0(xb,X3) != X2
| ~ aElement0(X3) ) )
& ( ? [X3] :
( sdtasdt0(xb,X3) = X2
& aElement0(X3) )
| ~ aElementOf0(X2,slsdtgt0(xb)) ) )
& ! [X0] :
( ( aElementOf0(X0,slsdtgt0(xa))
| ! [X1] :
( sdtasdt0(xa,X1) != X0
| ~ aElement0(X1) ) )
& ( ? [X1] :
( sdtasdt0(xa,X1) = X0
& aElement0(X1) )
| ~ aElementOf0(X0,slsdtgt0(xa)) ) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
( ~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ! [X4,X5] :
( sdtpldt0(X4,X5) != xc
| ~ aElementOf0(X5,slsdtgt0(xb))
| ~ aElementOf0(X4,slsdtgt0(xa)) )
& ! [X2] :
( aElementOf0(X2,slsdtgt0(xb))
<=> ? [X3] :
( sdtasdt0(xb,X3) = X2
& aElement0(X3) ) )
& ! [X0] :
( aElementOf0(X0,slsdtgt0(xa))
<=> ? [X1] :
( sdtasdt0(xa,X1) = X0
& aElement0(X1) ) ) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
( ~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ! [X4,X5] :
( sdtpldt0(X4,X5) != xc
| ~ aElementOf0(X5,slsdtgt0(xb))
| ~ aElementOf0(X4,slsdtgt0(xa)) )
& ! [X2] :
( aElementOf0(X2,slsdtgt0(xb))
<=> ? [X3] :
( sdtasdt0(xb,X3) = X2
& aElement0(X3) ) )
& ! [X0] :
( aElementOf0(X0,slsdtgt0(xa))
<=> ? [X1] :
( sdtasdt0(xa,X1) = X0
& aElement0(X1) ) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
~ ( ! [X0] :
( aElementOf0(X0,slsdtgt0(xa))
<=> ? [X1] :
( sdtasdt0(xa,X1) = X0
& aElement0(X1) ) )
=> ( ! [X2] :
( aElementOf0(X2,slsdtgt0(xb))
<=> ? [X3] :
( sdtasdt0(xb,X3) = X2
& aElement0(X3) ) )
=> ( aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| ? [X4,X5] :
( sdtpldt0(X4,X5) = xc
& aElementOf0(X5,slsdtgt0(xb))
& aElementOf0(X4,slsdtgt0(xa)) ) ) ) ),
inference(rectify,[],[f49]) ).
fof(f49,negated_conjecture,
~ ( ! [X0] :
( aElementOf0(X0,slsdtgt0(xa))
<=> ? [X1] :
( sdtasdt0(xa,X1) = X0
& aElement0(X1) ) )
=> ( ! [X0] :
( aElementOf0(X0,slsdtgt0(xb))
<=> ? [X1] :
( sdtasdt0(xb,X1) = X0
& aElement0(X1) ) )
=> ( aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| ? [X0,X1] :
( sdtpldt0(X0,X1) = xc
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ) ) ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
( ! [X0] :
( aElementOf0(X0,slsdtgt0(xa))
<=> ? [X1] :
( sdtasdt0(xa,X1) = X0
& aElement0(X1) ) )
=> ( ! [X0] :
( aElementOf0(X0,slsdtgt0(xb))
<=> ? [X1] :
( sdtasdt0(xb,X1) = X0
& aElement0(X1) ) )
=> ( aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| ? [X0,X1] :
( sdtpldt0(X0,X1) = xc
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X0,slsdtgt0(xa)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f18907,plain,
( aElementOf0(xc,xI)
| ~ aElement0(sK28)
| ~ aElementOf0(xu,xI) ),
inference(superposition,[],[f245,f18890]) ).
fof(f18890,plain,
xc = sdtasdt0(sK28,xu),
inference(forward_demodulation,[],[f18795,f309]) ).
fof(f309,plain,
xc = sdtasdt0(xu,sK28),
inference(cnf_transformation,[],[f169]) ).
fof(f18795,plain,
sdtasdt0(xu,sK28) = sdtasdt0(sK28,xu),
inference(resolution,[],[f4470,f516]) ).
fof(f516,plain,
aElement0(xu),
inference(subsumption_resolution,[],[f510,f243]) ).
fof(f243,plain,
aSet0(xI),
inference(cnf_transformation,[],[f149]) ).
fof(f510,plain,
( aElement0(xu)
| ~ aSet0(xI) ),
inference(resolution,[],[f324,f303]) ).
fof(f324,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f4470,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,sK28) = sdtasdt0(sK28,X0) ),
inference(resolution,[],[f399,f308]) ).
fof(f399,plain,
! [X0,X1] :
( ~ aElement0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f245,plain,
! [X11,X12] :
( aElementOf0(sdtasdt0(X12,X11),xI)
| ~ aElement0(X12)
| ~ aElementOf0(X11,xI) ),
inference(cnf_transformation,[],[f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG126+4 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat May 18 12:05:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (699)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (706)WARNING: value z3 for option sas not known
% 0.13/0.37 % (704)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (705)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (706)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (710)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (707)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (708)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (709)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.39 TRYING [1]
% 0.13/0.39 TRYING [2]
% 0.13/0.40 TRYING [1]
% 0.13/0.40 TRYING [3]
% 0.13/0.40 TRYING [2]
% 0.20/0.42 TRYING [3]
% 0.20/0.47 TRYING [4]
% 0.20/0.49 TRYING [4]
% 1.74/0.60 TRYING [5]
% 2.01/0.70 TRYING [5]
% 2.62/0.74 TRYING [1]
% 2.62/0.74 TRYING [2]
% 2.62/0.74 TRYING [3]
% 3.09/0.79 TRYING [4]
% 4.12/0.94 TRYING [5]
% 4.12/0.96 TRYING [6]
% 5.89/1.19 TRYING [6]
% 6.24/1.25 % (706)First to succeed.
% 6.24/1.25 % (706)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-699"
% 6.24/1.26 % (706)Refutation found. Thanks to Tanya!
% 6.24/1.26 % SZS status Theorem for theBenchmark
% 6.24/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 6.24/1.26 % (706)------------------------------
% 6.24/1.26 % (706)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 6.24/1.26 % (706)Termination reason: Refutation
% 6.24/1.26
% 6.24/1.26 % (706)Memory used [KB]: 20245
% 6.24/1.26 % (706)Time elapsed: 0.882 s
% 6.24/1.26 % (706)Instructions burned: 2999 (million)
% 6.24/1.26 % (699)Success in time 0.886 s
%------------------------------------------------------------------------------