TSTP Solution File: RNG115+4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG115+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 : Sun May 5 08:57:52 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 88
% Syntax : Number of formulae : 246 ( 93 unt; 0 def)
% Number of atoms : 1015 ( 235 equ)
% Maximal formula atoms : 34 ( 4 avg)
% Number of connectives : 1071 ( 302 ~; 242 |; 416 &)
% ( 78 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 69 ( 67 usr; 55 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 18 con; 0-2 aty)
% Number of variables : 330 ( 199 !; 131 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f703,plain,
$false,
inference(avatar_sat_refutation,[],[f428,f433,f438,f443,f448,f453,f458,f463,f468,f473,f478,f483,f488,f493,f498,f503,f508,f513,f518,f523,f528,f533,f537,f541,f545,f549,f554,f559,f564,f569,f574,f579,f584,f593,f598,f603,f608,f612,f616,f632,f638,f643,f648,f653,f658,f663,f668,f673,f678,f693,f697,f701,f702]) ).
fof(f702,plain,
( ~ spl50_32
| ~ spl50_33
| ~ spl50_23
| ~ spl50_48 ),
inference(avatar_split_clause,[],[f688,f665,f535,f581,f576]) ).
fof(f576,plain,
( spl50_32
<=> aElementOf0(sK23,slsdtgt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_32])]) ).
fof(f581,plain,
( spl50_33
<=> aElementOf0(sK24,slsdtgt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_33])]) ).
fof(f535,plain,
( spl50_23
<=> ! [X0,X1] :
( sdtpldt0(X0,X1) != xu
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_23])]) ).
fof(f665,plain,
( spl50_48
<=> xu = sdtpldt0(sK23,sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_48])]) ).
fof(f688,plain,
( ~ aElementOf0(sK24,slsdtgt0(xb))
| ~ aElementOf0(sK23,slsdtgt0(xa))
| ~ spl50_23
| ~ spl50_48 ),
inference(trivial_inequality_removal,[],[f687]) ).
fof(f687,plain,
( xu != xu
| ~ aElementOf0(sK24,slsdtgt0(xb))
| ~ aElementOf0(sK23,slsdtgt0(xa))
| ~ spl50_23
| ~ spl50_48 ),
inference(superposition,[],[f536,f667]) ).
fof(f667,plain,
( xu = sdtpldt0(sK23,sK24)
| ~ spl50_48 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f536,plain,
( ! [X0,X1] :
( sdtpldt0(X0,X1) != xu
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) )
| ~ spl50_23 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f701,plain,
spl50_53,
inference(avatar_split_clause,[],[f252,f699]) ).
fof(f699,plain,
( spl50_53
<=> ! [X0] :
( ~ aDivisorOf0(X0,xa)
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_53])]) ).
fof(f252,plain,
! [X0] :
( ~ aDivisorOf0(X0,xa)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ( ~ aDivisorOf0(X0,xa)
& ( ( ~ doDivides0(X0,xa)
& ! [X1] :
( sdtasdt0(X0,X1) != xa
| ~ aElement0(X1) ) )
| ~ aElement0(X0) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ( ~ aDivisorOf0(X0,xa)
& ( ( ~ doDivides0(X0,xa)
& ! [X2] :
( sdtasdt0(X0,X2) != xa
| ~ aElement0(X2) ) )
| ~ aElement0(X0) ) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ( ~ aDivisorOf0(X0,xa)
& ( ( ~ doDivides0(X0,xa)
& ! [X2] :
( sdtasdt0(X0,X2) != xa
| ~ aElement0(X2) ) )
| ~ aElement0(X0) ) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f697,plain,
spl50_52,
inference(avatar_split_clause,[],[f249,f695]) ).
fof(f695,plain,
( spl50_52
<=> ! [X0] :
( ~ aDivisorOf0(X0,xb)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_52])]) ).
fof(f249,plain,
! [X0] :
( ~ aDivisorOf0(X0,xb)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ( ~ aDivisorOf0(X0,xb)
& ~ doDivides0(X0,xb)
& ! [X1] :
( sdtasdt0(X0,X1) != xb
| ~ aElement0(X1) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ( ~ aDivisorOf0(X0,xb)
& ~ doDivides0(X0,xb)
& ! [X1] :
( sdtasdt0(X0,X1) != xb
| ~ aElement0(X1) ) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f693,plain,
spl50_51,
inference(avatar_split_clause,[],[f248,f691]) ).
fof(f691,plain,
( spl50_51
<=> ! [X0] :
( ~ doDivides0(X0,xb)
| ~ sP1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_51])]) ).
fof(f248,plain,
! [X0] :
( ~ doDivides0(X0,xb)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f678,plain,
( spl50_50
| ~ spl50_7
| ~ spl50_39 ),
inference(avatar_split_clause,[],[f620,f610,f455,f675]) ).
fof(f675,plain,
( spl50_50
<=> sP4(xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_50])]) ).
fof(f455,plain,
( spl50_7
<=> aElement0(xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_7])]) ).
fof(f610,plain,
( spl50_39
<=> ! [X0] :
( sP4(X0)
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_39])]) ).
fof(f620,plain,
( sP4(xb)
| ~ spl50_7
| ~ spl50_39 ),
inference(resolution,[],[f611,f457]) ).
fof(f457,plain,
( aElement0(xb)
| ~ spl50_7 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f611,plain,
( ! [X0] :
( ~ aElement0(X0)
| sP4(X0) )
| ~ spl50_39 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f673,plain,
spl50_49,
inference(avatar_split_clause,[],[f303,f670]) ).
fof(f670,plain,
( spl50_49
<=> sK25 = sdtpldt0(sK26,sK27) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_49])]) ).
fof(f303,plain,
sK25 = sdtpldt0(sK26,sK27),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
( sz00 != sK25
& aElementOf0(sK25,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& sK25 = sdtpldt0(sK26,sK27)
& aElementOf0(sK27,slsdtgt0(xb))
& aElementOf0(sK26,slsdtgt0(xa))
& ! [X3] :
( ( aElementOf0(X3,slsdtgt0(xb))
| ! [X4] :
( sdtasdt0(xb,X4) != X3
| ~ aElement0(X4) ) )
& ( ( sdtasdt0(xb,sK28(X3)) = X3
& aElement0(sK28(X3)) )
| ~ aElementOf0(X3,slsdtgt0(xb)) ) )
& ! [X6] :
( ( aElementOf0(X6,slsdtgt0(xa))
| ! [X7] :
( sdtasdt0(xa,X7) != X6
| ~ aElement0(X7) ) )
& ( ( sdtasdt0(xa,sK29(X6)) = X6
& aElement0(sK29(X6)) )
| ~ aElementOf0(X6,slsdtgt0(xa)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26,sK27,sK28,sK29])],[f164,f168,f167,f166,f165]) ).
fof(f165,plain,
( ? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ? [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] :
( sdtasdt0(xb,X5) = X3
& aElement0(X5) )
| ~ aElementOf0(X3,slsdtgt0(xb)) ) )
& ! [X6] :
( ( aElementOf0(X6,slsdtgt0(xa))
| ! [X7] :
( sdtasdt0(xa,X7) != X6
| ~ aElement0(X7) ) )
& ( ? [X8] :
( sdtasdt0(xa,X8) = X6
& aElement0(X8) )
| ~ aElementOf0(X6,slsdtgt0(xa)) ) ) )
=> ( sz00 != sK25
& aElementOf0(sK25,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ? [X2,X1] :
( sdtpldt0(X1,X2) = sK25
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) )
& ! [X3] :
( ( aElementOf0(X3,slsdtgt0(xb))
| ! [X4] :
( sdtasdt0(xb,X4) != X3
| ~ aElement0(X4) ) )
& ( ? [X5] :
( sdtasdt0(xb,X5) = X3
& aElement0(X5) )
| ~ aElementOf0(X3,slsdtgt0(xb)) ) )
& ! [X6] :
( ( aElementOf0(X6,slsdtgt0(xa))
| ! [X7] :
( sdtasdt0(xa,X7) != X6
| ~ aElement0(X7) ) )
& ( ? [X8] :
( sdtasdt0(xa,X8) = X6
& aElement0(X8) )
| ~ aElementOf0(X6,slsdtgt0(xa)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
( ? [X2,X1] :
( sdtpldt0(X1,X2) = sK25
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) )
=> ( sK25 = sdtpldt0(sK26,sK27)
& aElementOf0(sK27,slsdtgt0(xb))
& aElementOf0(sK26,slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
! [X3] :
( ? [X5] :
( sdtasdt0(xb,X5) = X3
& aElement0(X5) )
=> ( sdtasdt0(xb,sK28(X3)) = X3
& aElement0(sK28(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
! [X6] :
( ? [X8] :
( sdtasdt0(xa,X8) = X6
& aElement0(X8) )
=> ( sdtasdt0(xa,sK29(X6)) = X6
& aElement0(sK29(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ? [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] :
( sdtasdt0(xb,X5) = X3
& aElement0(X5) )
| ~ aElementOf0(X3,slsdtgt0(xb)) ) )
& ! [X6] :
( ( aElementOf0(X6,slsdtgt0(xa))
| ! [X7] :
( sdtasdt0(xa,X7) != X6
| ~ aElement0(X7) ) )
& ( ? [X8] :
( sdtasdt0(xa,X8) = X6
& aElement0(X8) )
| ~ aElementOf0(X6,slsdtgt0(xa)) ) ) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ? [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) ) )
& ( ? [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)) ) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ? [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) ) ) ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
? [X0] :
( sz00 != X0
& aElementOf0(X0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ? [X1,X2] :
( sdtpldt0(X1,X2) = X0
& aElementOf0(X2,slsdtgt0(xb))
& aElementOf0(X1,slsdtgt0(xa)) )
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xb))
<=> ? [X2] :
( sdtasdt0(xb,X2) = X1
& aElement0(X2) ) )
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xa))
<=> ? [X2] :
( sdtasdt0(xa,X2) = X1
& aElement0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2228) ).
fof(f668,plain,
spl50_48,
inference(avatar_split_clause,[],[f283,f665]) ).
fof(f283,plain,
xu = sdtpldt0(sK23,sK24),
inference(cnf_transformation,[],[f160]) ).
fof(f160,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(sK23,sK24)
& aElementOf0(sK24,slsdtgt0(xb))
& aElementOf0(sK23,slsdtgt0(xa)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24])],[f69,f159]) ).
fof(f159,plain,
( ? [X3,X4] :
( xu = sdtpldt0(X3,X4)
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) )
=> ( xu = sdtpldt0(sK23,sK24)
& aElementOf0(sK24,slsdtgt0(xb))
& aElementOf0(sK23,slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,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,[],[f68]) ).
fof(f68,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,[],[f53]) ).
fof(f53,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/sandbox/benchmark/theBenchmark.p',m__2273) ).
fof(f663,plain,
spl50_47,
inference(avatar_split_clause,[],[f279,f660]) ).
fof(f660,plain,
( spl50_47
<=> xb = sdtasdt0(xb,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_47])]) ).
fof(f279,plain,
xb = sdtasdt0(xb,sK19),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( aElementOf0(xb,slsdtgt0(xb))
& xb = sdtasdt0(xb,sK19)
& aElement0(sK19)
& aElementOf0(sz00,slsdtgt0(xb))
& sz00 = sdtasdt0(xb,sK20)
& aElement0(sK20)
& aElementOf0(xa,slsdtgt0(xa))
& xa = sdtasdt0(xa,sK21)
& aElement0(sK21)
& aElementOf0(sz00,slsdtgt0(xa))
& sz00 = sdtasdt0(xa,sK22)
& aElement0(sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21,sK22])],[f52,f157,f156,f155,f154]) ).
fof(f154,plain,
( ? [X0] :
( xb = sdtasdt0(xb,X0)
& aElement0(X0) )
=> ( xb = sdtasdt0(xb,sK19)
& aElement0(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
( ? [X1] :
( sz00 = sdtasdt0(xb,X1)
& aElement0(X1) )
=> ( sz00 = sdtasdt0(xb,sK20)
& aElement0(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
( ? [X2] :
( xa = sdtasdt0(xa,X2)
& aElement0(X2) )
=> ( xa = sdtasdt0(xa,sK21)
& aElement0(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
( ? [X3] :
( sz00 = sdtasdt0(xa,X3)
& aElement0(X3) )
=> ( sz00 = sdtasdt0(xa,sK22)
& aElement0(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
( aElementOf0(xb,slsdtgt0(xb))
& ? [X0] :
( xb = sdtasdt0(xb,X0)
& aElement0(X0) )
& aElementOf0(sz00,slsdtgt0(xb))
& ? [X1] :
( sz00 = sdtasdt0(xb,X1)
& aElement0(X1) )
& aElementOf0(xa,slsdtgt0(xa))
& ? [X2] :
( xa = sdtasdt0(xa,X2)
& aElement0(X2) )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [X3] :
( sz00 = sdtasdt0(xa,X3)
& aElement0(X3) ) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
( aElementOf0(xb,slsdtgt0(xb))
& ? [X0] :
( xb = sdtasdt0(xb,X0)
& aElement0(X0) )
& aElementOf0(sz00,slsdtgt0(xb))
& ? [X0] :
( sz00 = sdtasdt0(xb,X0)
& aElement0(X0) )
& aElementOf0(xa,slsdtgt0(xa))
& ? [X0] :
( xa = sdtasdt0(xa,X0)
& aElement0(X0) )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [X0] :
( sz00 = sdtasdt0(xa,X0)
& aElement0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2203) ).
fof(f658,plain,
spl50_46,
inference(avatar_split_clause,[],[f276,f655]) ).
fof(f655,plain,
( spl50_46
<=> sz00 = sdtasdt0(xb,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_46])]) ).
fof(f276,plain,
sz00 = sdtasdt0(xb,sK20),
inference(cnf_transformation,[],[f158]) ).
fof(f653,plain,
spl50_45,
inference(avatar_split_clause,[],[f273,f650]) ).
fof(f650,plain,
( spl50_45
<=> xa = sdtasdt0(xa,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_45])]) ).
fof(f273,plain,
xa = sdtasdt0(xa,sK21),
inference(cnf_transformation,[],[f158]) ).
fof(f648,plain,
spl50_44,
inference(avatar_split_clause,[],[f270,f645]) ).
fof(f645,plain,
( spl50_44
<=> sz00 = sdtasdt0(xa,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_44])]) ).
fof(f270,plain,
sz00 = sdtasdt0(xa,sK22),
inference(cnf_transformation,[],[f158]) ).
fof(f643,plain,
spl50_43,
inference(avatar_split_clause,[],[f260,f640]) ).
fof(f640,plain,
( spl50_43
<=> xb = sdtasdt0(xc,sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_43])]) ).
fof(f260,plain,
xb = sdtasdt0(xc,sK17),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( aGcdOfAnd0(xc,xa,xb)
& ! [X0] :
( ( doDivides0(X0,xc)
& xc = sdtasdt0(X0,sK16(X0))
& aElement0(sK16(X0)) )
| sP1(X0)
| sP0(X0) )
& aDivisorOf0(xc,xb)
& doDivides0(xc,xb)
& xb = sdtasdt0(xc,sK17)
& aElement0(sK17)
& aElement0(xc)
& aDivisorOf0(xc,xa)
& doDivides0(xc,xa)
& xa = sdtasdt0(xc,sK18)
& aElement0(sK18)
& aElement0(xc) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18])],[f149,f152,f151,f150]) ).
fof(f150,plain,
! [X0] :
( ? [X1] :
( sdtasdt0(X0,X1) = xc
& aElement0(X1) )
=> ( xc = sdtasdt0(X0,sK16(X0))
& aElement0(sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
( ? [X2] :
( xb = sdtasdt0(xc,X2)
& aElement0(X2) )
=> ( xb = sdtasdt0(xc,sK17)
& aElement0(sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( ? [X3] :
( xa = sdtasdt0(xc,X3)
& aElement0(X3) )
=> ( xa = sdtasdt0(xc,sK18)
& aElement0(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( aGcdOfAnd0(xc,xa,xb)
& ! [X0] :
( ( doDivides0(X0,xc)
& ? [X1] :
( sdtasdt0(X0,X1) = xc
& aElement0(X1) ) )
| sP1(X0)
| sP0(X0) )
& aDivisorOf0(xc,xb)
& doDivides0(xc,xb)
& ? [X2] :
( xb = sdtasdt0(xc,X2)
& aElement0(X2) )
& aElement0(xc)
& aDivisorOf0(xc,xa)
& doDivides0(xc,xa)
& ? [X3] :
( xa = sdtasdt0(xc,X3)
& aElement0(X3) )
& aElement0(xc) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
( aGcdOfAnd0(xc,xa,xb)
& ! [X0] :
( ( doDivides0(X0,xc)
& ? [X3] :
( sdtasdt0(X0,X3) = xc
& aElement0(X3) ) )
| sP1(X0)
| sP0(X0) )
& aDivisorOf0(xc,xb)
& doDivides0(xc,xb)
& ? [X4] :
( xb = sdtasdt0(xc,X4)
& aElement0(X4) )
& aElement0(xc)
& aDivisorOf0(xc,xa)
& doDivides0(xc,xa)
& ? [X5] :
( xa = sdtasdt0(xc,X5)
& aElement0(X5) )
& aElement0(xc) ),
inference(definition_folding,[],[f67,f121,f120]) ).
fof(f67,plain,
( aGcdOfAnd0(xc,xa,xb)
& ! [X0] :
( ( doDivides0(X0,xc)
& ? [X3] :
( sdtasdt0(X0,X3) = xc
& aElement0(X3) ) )
| ( ~ aDivisorOf0(X0,xb)
& ~ doDivides0(X0,xb)
& ! [X1] :
( sdtasdt0(X0,X1) != xb
| ~ aElement0(X1) ) )
| ( ~ aDivisorOf0(X0,xa)
& ( ( ~ doDivides0(X0,xa)
& ! [X2] :
( sdtasdt0(X0,X2) != xa
| ~ aElement0(X2) ) )
| ~ aElement0(X0) ) ) )
& aDivisorOf0(xc,xb)
& doDivides0(xc,xb)
& ? [X4] :
( xb = sdtasdt0(xc,X4)
& aElement0(X4) )
& aElement0(xc)
& aDivisorOf0(xc,xa)
& doDivides0(xc,xa)
& ? [X5] :
( xa = sdtasdt0(xc,X5)
& aElement0(X5) )
& aElement0(xc) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
( aGcdOfAnd0(xc,xa,xb)
& ! [X0] :
( ( doDivides0(X0,xc)
& ? [X3] :
( sdtasdt0(X0,X3) = xc
& aElement0(X3) ) )
| ( ~ aDivisorOf0(X0,xb)
& ~ doDivides0(X0,xb)
& ! [X1] :
( sdtasdt0(X0,X1) != xb
| ~ aElement0(X1) ) )
| ( ~ aDivisorOf0(X0,xa)
& ( ( ~ doDivides0(X0,xa)
& ! [X2] :
( sdtasdt0(X0,X2) != xa
| ~ aElement0(X2) ) )
| ~ aElement0(X0) ) ) )
& aDivisorOf0(xc,xb)
& doDivides0(xc,xb)
& ? [X4] :
( xb = sdtasdt0(xc,X4)
& aElement0(X4) )
& aElement0(xc)
& aDivisorOf0(xc,xa)
& doDivides0(xc,xa)
& ? [X5] :
( xa = sdtasdt0(xc,X5)
& aElement0(X5) )
& aElement0(xc) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
( aGcdOfAnd0(xc,xa,xb)
& ! [X0] :
( ( ( aDivisorOf0(X0,xb)
| doDivides0(X0,xb)
| ? [X1] :
( sdtasdt0(X0,X1) = xb
& aElement0(X1) ) )
& ( aDivisorOf0(X0,xa)
| ( ( doDivides0(X0,xa)
| ? [X2] :
( sdtasdt0(X0,X2) = xa
& aElement0(X2) ) )
& aElement0(X0) ) ) )
=> ( doDivides0(X0,xc)
& ? [X3] :
( sdtasdt0(X0,X3) = xc
& aElement0(X3) ) ) )
& aDivisorOf0(xc,xb)
& doDivides0(xc,xb)
& ? [X4] :
( xb = sdtasdt0(xc,X4)
& aElement0(X4) )
& aElement0(xc)
& aDivisorOf0(xc,xa)
& doDivides0(xc,xa)
& ? [X5] :
( xa = sdtasdt0(xc,X5)
& aElement0(X5) )
& aElement0(xc) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
( aGcdOfAnd0(xc,xa,xb)
& ! [X0] :
( ( ( aDivisorOf0(X0,xb)
| doDivides0(X0,xb)
| ? [X1] :
( sdtasdt0(X0,X1) = xb
& aElement0(X1) ) )
& ( aDivisorOf0(X0,xa)
| ( ( doDivides0(X0,xa)
| ? [X1] :
( sdtasdt0(X0,X1) = xa
& aElement0(X1) ) )
& aElement0(X0) ) ) )
=> ( doDivides0(X0,xc)
& ? [X1] :
( sdtasdt0(X0,X1) = xc
& aElement0(X1) ) ) )
& aDivisorOf0(xc,xb)
& doDivides0(xc,xb)
& ? [X0] :
( xb = sdtasdt0(xc,X0)
& aElement0(X0) )
& aElement0(xc)
& aDivisorOf0(xc,xa)
& doDivides0(xc,xa)
& ? [X0] :
( xa = sdtasdt0(xc,X0)
& aElement0(X0) )
& aElement0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2129) ).
fof(f638,plain,
spl50_42,
inference(avatar_split_clause,[],[f255,f635]) ).
fof(f635,plain,
( spl50_42
<=> xa = sdtasdt0(xc,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_42])]) ).
fof(f255,plain,
xa = sdtasdt0(xc,sK18),
inference(cnf_transformation,[],[f153]) ).
fof(f632,plain,
( spl50_41
| ~ spl50_6
| ~ spl50_39 ),
inference(avatar_split_clause,[],[f619,f610,f450,f629]) ).
fof(f629,plain,
( spl50_41
<=> sP4(xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_41])]) ).
fof(f450,plain,
( spl50_6
<=> aElement0(xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_6])]) ).
fof(f619,plain,
( sP4(xa)
| ~ spl50_6
| ~ spl50_39 ),
inference(resolution,[],[f611,f452]) ).
fof(f452,plain,
( aElement0(xa)
| ~ spl50_6 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f616,plain,
spl50_40,
inference(avatar_split_clause,[],[f341,f614]) ).
fof(f614,plain,
( spl50_40
<=> ! [X0] :
( aSet0(X0)
| ~ aIdeal0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_40])]) ).
fof(f341,plain,
! [X0] :
( aSet0(X0)
| ~ aIdeal0(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ( aIdeal0(X0)
| ( ~ sP5(X0,sK35(X0))
& aElementOf0(sK35(X0),X0) )
| ~ aSet0(X0) )
& ( ( ! [X2] :
( sP5(X0,X2)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f188,f189]) ).
fof(f189,plain,
! [X0] :
( ? [X1] :
( ~ sP5(X0,X1)
& aElementOf0(X1,X0) )
=> ( ~ sP5(X0,sK35(X0))
& aElementOf0(sK35(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP5(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X2] :
( sP5(X0,X2)
| ~ aElementOf0(X2,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP5(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( sP5(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ~ sP5(X0,X1)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( sP5(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( sP5(X0,X1)
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(definition_folding,[],[f81,f128]) ).
fof(f128,plain,
! [X0,X1] :
( sP5(X0,X1)
<=> ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f81,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
& aSet0(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f612,plain,
spl50_39,
inference(avatar_split_clause,[],[f334,f610]) ).
fof(f334,plain,
! [X0] :
( sP4(X0)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( sP4(X0)
| ~ aElement0(X0) ),
inference(definition_folding,[],[f80,f126,f125]) ).
fof(f125,plain,
! [X0,X1] :
( sP3(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( slsdtgt0(X0) = X1
<=> sP3(X0,X1) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( slsdtgt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( sdtasdt0(X0,X3) = X2
& aElement0(X3) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(f608,plain,
spl50_38,
inference(avatar_split_clause,[],[f302,f605]) ).
fof(f605,plain,
( spl50_38
<=> aElementOf0(sK27,slsdtgt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_38])]) ).
fof(f302,plain,
aElementOf0(sK27,slsdtgt0(xb)),
inference(cnf_transformation,[],[f169]) ).
fof(f603,plain,
spl50_37,
inference(avatar_split_clause,[],[f301,f600]) ).
fof(f600,plain,
( spl50_37
<=> aElementOf0(sK26,slsdtgt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_37])]) ).
fof(f301,plain,
aElementOf0(sK26,slsdtgt0(xa)),
inference(cnf_transformation,[],[f169]) ).
fof(f598,plain,
( spl50_34
| ~ spl50_36 ),
inference(avatar_split_clause,[],[f294,f595,f586]) ).
fof(f586,plain,
( spl50_34
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl50_34])]) ).
fof(f595,plain,
( spl50_36
<=> aDivisorOf0(xu,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_36])]) ).
fof(f294,plain,
( ~ aDivisorOf0(xu,xb)
| sP2 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( ( ~ aDivisorOf0(xu,xb)
& ~ doDivides0(xu,xb)
& ! [X0] :
( xb != sdtasdt0(xu,X0)
| ~ aElement0(X0) ) )
| sP2 ),
inference(definition_folding,[],[f70,f123]) ).
fof(f123,plain,
( ( ~ aDivisorOf0(xu,xa)
& ~ doDivides0(xu,xa)
& ! [X1] :
( xa != sdtasdt0(xu,X1)
| ~ aElement0(X1) ) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f70,plain,
( ( ~ aDivisorOf0(xu,xb)
& ~ doDivides0(xu,xb)
& ! [X0] :
( xb != sdtasdt0(xu,X0)
| ~ aElement0(X0) ) )
| ( ~ aDivisorOf0(xu,xa)
& ~ doDivides0(xu,xa)
& ! [X1] :
( xa != sdtasdt0(xu,X1)
| ~ aElement0(X1) ) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
~ ( ( aDivisorOf0(xu,xb)
| doDivides0(xu,xb)
| ? [X0] :
( xb = sdtasdt0(xu,X0)
& aElement0(X0) ) )
& ( aDivisorOf0(xu,xa)
| doDivides0(xu,xa)
| ? [X1] :
( xa = sdtasdt0(xu,X1)
& aElement0(X1) ) ) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
~ ( ( aDivisorOf0(xu,xb)
| doDivides0(xu,xb)
| ? [X0] :
( xb = sdtasdt0(xu,X0)
& aElement0(X0) ) )
& ( aDivisorOf0(xu,xa)
| doDivides0(xu,xa)
| ? [X0] :
( xa = sdtasdt0(xu,X0)
& aElement0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2383) ).
fof(f593,plain,
( spl50_34
| ~ spl50_35 ),
inference(avatar_split_clause,[],[f293,f590,f586]) ).
fof(f590,plain,
( spl50_35
<=> doDivides0(xu,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_35])]) ).
fof(f293,plain,
( ~ doDivides0(xu,xb)
| sP2 ),
inference(cnf_transformation,[],[f124]) ).
fof(f584,plain,
spl50_33,
inference(avatar_split_clause,[],[f282,f581]) ).
fof(f282,plain,
aElementOf0(sK24,slsdtgt0(xb)),
inference(cnf_transformation,[],[f160]) ).
fof(f579,plain,
spl50_32,
inference(avatar_split_clause,[],[f281,f576]) ).
fof(f281,plain,
aElementOf0(sK23,slsdtgt0(xa)),
inference(cnf_transformation,[],[f160]) ).
fof(f574,plain,
spl50_31,
inference(avatar_split_clause,[],[f280,f571]) ).
fof(f571,plain,
( spl50_31
<=> aElementOf0(xb,slsdtgt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_31])]) ).
fof(f280,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(cnf_transformation,[],[f158]) ).
fof(f569,plain,
spl50_30,
inference(avatar_split_clause,[],[f277,f566]) ).
fof(f566,plain,
( spl50_30
<=> aElementOf0(sz00,slsdtgt0(xb)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_30])]) ).
fof(f277,plain,
aElementOf0(sz00,slsdtgt0(xb)),
inference(cnf_transformation,[],[f158]) ).
fof(f564,plain,
spl50_29,
inference(avatar_split_clause,[],[f274,f561]) ).
fof(f561,plain,
( spl50_29
<=> aElementOf0(xa,slsdtgt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_29])]) ).
fof(f274,plain,
aElementOf0(xa,slsdtgt0(xa)),
inference(cnf_transformation,[],[f158]) ).
fof(f559,plain,
spl50_28,
inference(avatar_split_clause,[],[f271,f556]) ).
fof(f556,plain,
( spl50_28
<=> aElementOf0(sz00,slsdtgt0(xa)) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_28])]) ).
fof(f271,plain,
aElementOf0(sz00,slsdtgt0(xa)),
inference(cnf_transformation,[],[f158]) ).
fof(f554,plain,
spl50_27,
inference(avatar_split_clause,[],[f266,f551]) ).
fof(f551,plain,
( spl50_27
<=> aGcdOfAnd0(xc,xa,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_27])]) ).
fof(f266,plain,
aGcdOfAnd0(xc,xa,xb),
inference(cnf_transformation,[],[f153]) ).
fof(f549,plain,
spl50_26,
inference(avatar_split_clause,[],[f409,f547]) ).
fof(f547,plain,
( spl50_26
<=> ! [X2,X3] :
( xu != sdtpldt0(sdtasdt0(xa,X3),sdtasdt0(xb,X2))
| ~ aElement0(X2)
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_26])]) ).
fof(f409,plain,
! [X2,X3] :
( xu != sdtpldt0(sdtasdt0(xa,X3),sdtasdt0(xb,X2))
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(equality_resolution,[],[f408]) ).
fof(f408,plain,
! [X2,X3,X0] :
( xu != sdtpldt0(X0,sdtasdt0(xb,X2))
| ~ aElement0(X2)
| sdtasdt0(xa,X3) != X0
| ~ aElement0(X3) ),
inference(equality_resolution,[],[f228]) ).
fof(f228,plain,
! [X2,X3,X0,X1] :
( sdtpldt0(X0,X1) != xu
| sdtasdt0(xb,X2) != X1
| ~ aElement0(X2)
| sdtasdt0(xa,X3) != X0
| ~ aElement0(X3) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != xu
| ( ~ aElementOf0(X1,slsdtgt0(xb))
& ! [X2] :
( sdtasdt0(xb,X2) != X1
| ~ aElement0(X2) ) )
| ( ~ aElementOf0(X0,slsdtgt0(xa))
& ! [X3] :
( sdtasdt0(xa,X3) != X0
| ~ aElement0(X3) ) ) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
~ ? [X0,X1] :
( sdtpldt0(X0,X1) = xu
& ( aElementOf0(X1,slsdtgt0(xb))
| ? [X2] :
( sdtasdt0(xb,X2) = X1
& aElement0(X2) ) )
& ( aElementOf0(X0,slsdtgt0(xa))
| ? [X3] :
( sdtasdt0(xa,X3) = X0
& aElement0(X3) ) ) ),
inference(rectify,[],[f48]) ).
fof(f48,negated_conjecture,
~ ? [X0,X1] :
( sdtpldt0(X0,X1) = xu
& ( aElementOf0(X1,slsdtgt0(xb))
| ? [X2] :
( sdtasdt0(xb,X2) = X1
& aElement0(X2) ) )
& ( aElementOf0(X0,slsdtgt0(xa))
| ? [X2] :
( sdtasdt0(xa,X2) = X0
& aElement0(X2) ) ) ),
inference(negated_conjecture,[],[f47]) ).
fof(f47,conjecture,
? [X0,X1] :
( sdtpldt0(X0,X1) = xu
& ( aElementOf0(X1,slsdtgt0(xb))
| ? [X2] :
( sdtasdt0(xb,X2) = X1
& aElement0(X2) ) )
& ( aElementOf0(X0,slsdtgt0(xa))
| ? [X2] :
( sdtasdt0(xa,X2) = X0
& aElement0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f545,plain,
spl50_25,
inference(avatar_split_clause,[],[f407,f543]) ).
fof(f543,plain,
( spl50_25
<=> ! [X2,X0] :
( xu != sdtpldt0(X0,sdtasdt0(xb,X2))
| ~ aElement0(X2)
| ~ aElementOf0(X0,slsdtgt0(xa)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_25])]) ).
fof(f407,plain,
! [X2,X0] :
( xu != sdtpldt0(X0,sdtasdt0(xb,X2))
| ~ aElement0(X2)
| ~ aElementOf0(X0,slsdtgt0(xa)) ),
inference(equality_resolution,[],[f229]) ).
fof(f229,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X1) != xu
| sdtasdt0(xb,X2) != X1
| ~ aElement0(X2)
| ~ aElementOf0(X0,slsdtgt0(xa)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f541,plain,
spl50_24,
inference(avatar_split_clause,[],[f406,f539]) ).
fof(f539,plain,
( spl50_24
<=> ! [X1,X3] :
( xu != sdtpldt0(sdtasdt0(xa,X3),X1)
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElement0(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_24])]) ).
fof(f406,plain,
! [X3,X1] :
( xu != sdtpldt0(sdtasdt0(xa,X3),X1)
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElement0(X3) ),
inference(equality_resolution,[],[f230]) ).
fof(f230,plain,
! [X3,X0,X1] :
( sdtpldt0(X0,X1) != xu
| ~ aElementOf0(X1,slsdtgt0(xb))
| sdtasdt0(xa,X3) != X0
| ~ aElement0(X3) ),
inference(cnf_transformation,[],[f64]) ).
fof(f537,plain,
spl50_23,
inference(avatar_split_clause,[],[f231,f535]) ).
fof(f231,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) != xu
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f533,plain,
~ spl50_22,
inference(avatar_split_clause,[],[f308,f530]) ).
fof(f530,plain,
( spl50_22
<=> sz00 = sz10 ),
introduced(avatar_definition,[new_symbols(naming,[spl50_22])]) ).
fof(f308,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
sz00 != sz10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mUnNeZr) ).
fof(f528,plain,
spl50_21,
inference(avatar_split_clause,[],[f423,f525]) ).
fof(f525,plain,
( spl50_21
<=> aElementOf0(sK25,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_21])]) ).
fof(f423,plain,
aElementOf0(sK25,xI),
inference(forward_demodulation,[],[f304,f246]) ).
fof(f246,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(cnf_transformation,[],[f145]) ).
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)) ) )
& ( ( sdtpldt0(sK12(X0),sK13(X0)) = X0
& aElementOf0(sK13(X0),slsdtgt0(xb))
& aElementOf0(sK12(X0),slsdtgt0(xa)) )
| ~ aElementOf0(X0,xI) ) )
& ! [X5] :
( ( aElementOf0(X5,slsdtgt0(xb))
| ! [X6] :
( sdtasdt0(xb,X6) != X5
| ~ aElement0(X6) ) )
& ( ( sdtasdt0(xb,sK14(X5)) = X5
& aElement0(sK14(X5)) )
| ~ aElementOf0(X5,slsdtgt0(xb)) ) )
& ! [X8] :
( ( aElementOf0(X8,slsdtgt0(xa))
| ! [X9] :
( sdtasdt0(xa,X9) != X8
| ~ aElement0(X9) ) )
& ( ( sdtasdt0(xa,sK15(X8)) = X8
& aElement0(sK15(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,[sK12,sK13,sK14,sK15])],[f141,f144,f143,f142]) ).
fof(f142,plain,
! [X0] :
( ? [X3,X4] :
( sdtpldt0(X3,X4) = X0
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa)) )
=> ( sdtpldt0(sK12(X0),sK13(X0)) = X0
& aElementOf0(sK13(X0),slsdtgt0(xb))
& aElementOf0(sK12(X0),slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
! [X5] :
( ? [X7] :
( sdtasdt0(xb,X7) = X5
& aElement0(X7) )
=> ( sdtasdt0(xb,sK14(X5)) = X5
& aElement0(sK14(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X8] :
( ? [X10] :
( sdtasdt0(xa,X10) = X8
& aElement0(X10) )
=> ( sdtasdt0(xa,sK15(X8)) = X8
& aElement0(sK15(X8)) ) ),
introduced(choice_axiom,[]) ).
fof(f141,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,[],[f140]) ).
fof(f140,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,[],[f65]) ).
fof(f65,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,[],[f50]) ).
fof(f50,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/sandbox/benchmark/theBenchmark.p',m__2174) ).
fof(f304,plain,
aElementOf0(sK25,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(cnf_transformation,[],[f169]) ).
fof(f523,plain,
~ spl50_20,
inference(avatar_split_clause,[],[f305,f520]) ).
fof(f520,plain,
( spl50_20
<=> sz00 = sK25 ),
introduced(avatar_definition,[new_symbols(naming,[spl50_20])]) ).
fof(f305,plain,
sz00 != sK25,
inference(cnf_transformation,[],[f169]) ).
fof(f518,plain,
~ spl50_19,
inference(avatar_split_clause,[],[f285,f515]) ).
fof(f515,plain,
( spl50_19
<=> sz00 = xu ),
introduced(avatar_definition,[new_symbols(naming,[spl50_19])]) ).
fof(f285,plain,
sz00 != xu,
inference(cnf_transformation,[],[f160]) ).
fof(f513,plain,
spl50_18,
inference(avatar_split_clause,[],[f284,f510]) ).
fof(f510,plain,
( spl50_18
<=> aElementOf0(xu,xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_18])]) ).
fof(f284,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[],[f160]) ).
fof(f508,plain,
spl50_17,
inference(avatar_split_clause,[],[f262,f505]) ).
fof(f505,plain,
( spl50_17
<=> aDivisorOf0(xc,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_17])]) ).
fof(f262,plain,
aDivisorOf0(xc,xb),
inference(cnf_transformation,[],[f153]) ).
fof(f503,plain,
spl50_16,
inference(avatar_split_clause,[],[f261,f500]) ).
fof(f500,plain,
( spl50_16
<=> doDivides0(xc,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_16])]) ).
fof(f261,plain,
doDivides0(xc,xb),
inference(cnf_transformation,[],[f153]) ).
fof(f498,plain,
spl50_15,
inference(avatar_split_clause,[],[f257,f495]) ).
fof(f495,plain,
( spl50_15
<=> aDivisorOf0(xc,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_15])]) ).
fof(f257,plain,
aDivisorOf0(xc,xa),
inference(cnf_transformation,[],[f153]) ).
fof(f493,plain,
spl50_14,
inference(avatar_split_clause,[],[f256,f490]) ).
fof(f490,plain,
( spl50_14
<=> doDivides0(xc,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_14])]) ).
fof(f256,plain,
doDivides0(xc,xa),
inference(cnf_transformation,[],[f153]) ).
fof(f488,plain,
spl50_13,
inference(avatar_split_clause,[],[f307,f485]) ).
fof(f485,plain,
( spl50_13
<=> aElement0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_13])]) ).
fof(f307,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f483,plain,
spl50_12,
inference(avatar_split_clause,[],[f306,f480]) ).
fof(f480,plain,
( spl50_12
<=> aElement0(sz10) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_12])]) ).
fof(f306,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f478,plain,
spl50_11,
inference(avatar_split_clause,[],[f278,f475]) ).
fof(f475,plain,
( spl50_11
<=> aElement0(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_11])]) ).
fof(f278,plain,
aElement0(sK19),
inference(cnf_transformation,[],[f158]) ).
fof(f473,plain,
spl50_10,
inference(avatar_split_clause,[],[f275,f470]) ).
fof(f470,plain,
( spl50_10
<=> aElement0(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_10])]) ).
fof(f275,plain,
aElement0(sK20),
inference(cnf_transformation,[],[f158]) ).
fof(f468,plain,
spl50_9,
inference(avatar_split_clause,[],[f272,f465]) ).
fof(f465,plain,
( spl50_9
<=> aElement0(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_9])]) ).
fof(f272,plain,
aElement0(sK21),
inference(cnf_transformation,[],[f158]) ).
fof(f463,plain,
spl50_8,
inference(avatar_split_clause,[],[f269,f460]) ).
fof(f460,plain,
( spl50_8
<=> aElement0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_8])]) ).
fof(f269,plain,
aElement0(sK22),
inference(cnf_transformation,[],[f158]) ).
fof(f458,plain,
spl50_7,
inference(avatar_split_clause,[],[f268,f455]) ).
fof(f268,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).
fof(f453,plain,
spl50_6,
inference(avatar_split_clause,[],[f267,f450]) ).
fof(f267,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f448,plain,
spl50_5,
inference(avatar_split_clause,[],[f259,f445]) ).
fof(f445,plain,
( spl50_5
<=> aElement0(sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_5])]) ).
fof(f259,plain,
aElement0(sK17),
inference(cnf_transformation,[],[f153]) ).
fof(f443,plain,
spl50_4,
inference(avatar_split_clause,[],[f258,f440]) ).
fof(f440,plain,
( spl50_4
<=> aElement0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_4])]) ).
fof(f258,plain,
aElement0(xc),
inference(cnf_transformation,[],[f153]) ).
fof(f438,plain,
spl50_3,
inference(avatar_split_clause,[],[f254,f435]) ).
fof(f435,plain,
( spl50_3
<=> aElement0(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_3])]) ).
fof(f254,plain,
aElement0(sK18),
inference(cnf_transformation,[],[f153]) ).
fof(f433,plain,
spl50_2,
inference(avatar_split_clause,[],[f235,f430]) ).
fof(f430,plain,
( spl50_2
<=> aIdeal0(xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_2])]) ).
fof(f235,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f145]) ).
fof(f428,plain,
spl50_1,
inference(avatar_split_clause,[],[f232,f425]) ).
fof(f425,plain,
( spl50_1
<=> aSet0(xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_1])]) ).
fof(f232,plain,
aSet0(xI),
inference(cnf_transformation,[],[f145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG115+4 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 18:14:38 EDT 2024
% 0.21/0.35 % CPUTime :
% 0.21/0.35 % (13888)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (13897)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)
% 0.21/0.37 % (13895)WARNING: value z3 for option sas not known
% 0.21/0.37 % (13897)First to succeed.
% 0.21/0.37 % (13892)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (13894)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (13895)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)
% 0.21/0.38 % (13899)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)
% 0.21/0.38 % (13896)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (13898)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)
% 0.21/0.38 % (13897)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13888"
% 0.21/0.38 % (13897)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (13897)------------------------------
% 0.21/0.38 % (13897)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (13897)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (13897)Memory used [KB]: 1170
% 0.21/0.38 % (13897)Time elapsed: 0.009 s
% 0.21/0.38 % (13897)Instructions burned: 24 (million)
% 0.21/0.38 % (13888)Success in time 0.021 s
%------------------------------------------------------------------------------