TSTP Solution File: RNG111+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG111+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n016.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 : Wed Aug 31 18:15:53 EDT 2022
% Result : Theorem 1.52s 0.61s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 12
% Syntax : Number of formulae : 60 ( 10 unt; 3 typ; 0 def)
% Number of atoms : 459 ( 150 equ)
% Maximal formula atoms : 36 ( 8 avg)
% Number of connectives : 607 ( 205 ~; 153 |; 225 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 2 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 202 ( 97 !; 105 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_19,type,
sQ52_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_20,type,
sQ53_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_21,type,
sQ54_eqProxy: ( $real * $real ) > $o ).
fof(f1630,plain,
$false,
inference(subsumption_resolution,[],[f1629,f1094]) ).
fof(f1094,plain,
aElementOf0(sK20,xI),
inference(subsumption_resolution,[],[f531,f1066]) ).
fof(f1066,plain,
sP2,
inference(subsumption_resolution,[],[f1065,f493]) ).
fof(f493,plain,
aElementOf0(sK23,xI),
inference(literal_reordering,[],[f294]) ).
fof(f294,plain,
aElementOf0(sK23,xI),
inference(cnf_transformation,[],[f169]) ).
fof(f169,plain,
( ! [X1] :
( sz00 = X1
| sP3(X1)
| ( ! [X2,X3] :
( ~ aElementOf0(X2,slsdtgt0(xa))
| ~ aElementOf0(X3,slsdtgt0(xb))
| sdtpldt0(X2,X3) != X1 )
& ~ aElementOf0(X1,xI) ) )
& ! [X4] :
( sP2
| ( ~ aElementOf0(X4,xI)
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X4
| ~ aElementOf0(X6,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa)) ) )
| ~ iLess0(sbrdtbr0(X4),sbrdtbr0(sK23))
| sz00 = X4 )
& sz00 != sK23
& aElementOf0(sK23,xI)
& sdtpldt0(sK25,sK24) = sK23
& aElementOf0(sK24,slsdtgt0(xb))
& aElementOf0(sK25,slsdtgt0(xa)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24,sK25])],[f166,f168,f167]) ).
fof(f167,plain,
( ? [X0] :
( ! [X1] :
( sz00 = X1
| sP3(X1)
| ( ! [X2,X3] :
( ~ aElementOf0(X2,slsdtgt0(xa))
| ~ aElementOf0(X3,slsdtgt0(xb))
| sdtpldt0(X2,X3) != X1 )
& ~ aElementOf0(X1,xI) ) )
& ! [X4] :
( sP2
| ( ~ aElementOf0(X4,xI)
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X4
| ~ aElementOf0(X6,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa)) ) )
| ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X0))
| sz00 = X4 )
& sz00 != X0
& aElementOf0(X0,xI)
& ? [X7,X8] :
( sdtpldt0(X8,X7) = X0
& aElementOf0(X7,slsdtgt0(xb))
& aElementOf0(X8,slsdtgt0(xa)) ) )
=> ( ! [X1] :
( sz00 = X1
| sP3(X1)
| ( ! [X2,X3] :
( ~ aElementOf0(X2,slsdtgt0(xa))
| ~ aElementOf0(X3,slsdtgt0(xb))
| sdtpldt0(X2,X3) != X1 )
& ~ aElementOf0(X1,xI) ) )
& ! [X4] :
( sP2
| ( ~ aElementOf0(X4,xI)
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X4
| ~ aElementOf0(X6,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa)) ) )
| ~ iLess0(sbrdtbr0(X4),sbrdtbr0(sK23))
| sz00 = X4 )
& sz00 != sK23
& aElementOf0(sK23,xI)
& ? [X8,X7] :
( sK23 = sdtpldt0(X8,X7)
& aElementOf0(X7,slsdtgt0(xb))
& aElementOf0(X8,slsdtgt0(xa)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
( ? [X8,X7] :
( sK23 = sdtpldt0(X8,X7)
& aElementOf0(X7,slsdtgt0(xb))
& aElementOf0(X8,slsdtgt0(xa)) )
=> ( sdtpldt0(sK25,sK24) = sK23
& aElementOf0(sK24,slsdtgt0(xb))
& aElementOf0(sK25,slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
? [X0] :
( ! [X1] :
( sz00 = X1
| sP3(X1)
| ( ! [X2,X3] :
( ~ aElementOf0(X2,slsdtgt0(xa))
| ~ aElementOf0(X3,slsdtgt0(xb))
| sdtpldt0(X2,X3) != X1 )
& ~ aElementOf0(X1,xI) ) )
& ! [X4] :
( sP2
| ( ~ aElementOf0(X4,xI)
& ! [X5,X6] :
( sdtpldt0(X5,X6) != X4
| ~ aElementOf0(X6,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa)) ) )
| ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X0))
| sz00 = X4 )
& sz00 != X0
& aElementOf0(X0,xI)
& ? [X7,X8] :
( sdtpldt0(X8,X7) = X0
& aElementOf0(X7,slsdtgt0(xb))
& aElementOf0(X8,slsdtgt0(xa)) ) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
? [X0] :
( ! [X12] :
( sz00 = X12
| sP3(X12)
| ( ! [X13,X14] :
( ~ aElementOf0(X13,slsdtgt0(xa))
| ~ aElementOf0(X14,slsdtgt0(xb))
| sdtpldt0(X13,X14) != X12 )
& ~ aElementOf0(X12,xI) ) )
& ! [X3] :
( sP2
| ( ~ aElementOf0(X3,xI)
& ! [X5,X4] :
( sdtpldt0(X5,X4) != X3
| ~ aElementOf0(X4,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa)) ) )
| ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X0))
| sz00 = X3 )
& sz00 != X0
& aElementOf0(X0,xI)
& ? [X1,X2] :
( sdtpldt0(X2,X1) = X0
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) ) ),
inference(definition_folding,[],[f103,f126,f125]) ).
fof(f125,plain,
( ? [X6] :
( ! [X7] :
( ( ~ aElementOf0(X7,xI)
& ! [X9,X8] :
( ~ aElementOf0(X8,slsdtgt0(xa))
| ~ aElementOf0(X9,slsdtgt0(xb))
| sdtpldt0(X8,X9) != X7 ) )
| sz00 = X7
| ~ iLess0(sbrdtbr0(X7),sbrdtbr0(X6)) )
& aElementOf0(X6,xI)
& sz00 != X6
& ? [X10,X11] :
( sdtpldt0(X10,X11) = X6
& aElementOf0(X10,slsdtgt0(xa))
& aElementOf0(X11,slsdtgt0(xb)) ) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f126,plain,
! [X12] :
( ? [X15] :
( ? [X17,X16] :
( sdtpldt0(X17,X16) = X15
& aElementOf0(X16,slsdtgt0(xb))
& aElementOf0(X17,slsdtgt0(xa)) )
& aElementOf0(X15,xI)
& sz00 != X15
& iLess0(sbrdtbr0(X15),sbrdtbr0(X12)) )
| ~ sP3(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f103,plain,
? [X0] :
( ! [X12] :
( sz00 = X12
| ? [X15] :
( ? [X17,X16] :
( sdtpldt0(X17,X16) = X15
& aElementOf0(X16,slsdtgt0(xb))
& aElementOf0(X17,slsdtgt0(xa)) )
& aElementOf0(X15,xI)
& sz00 != X15
& iLess0(sbrdtbr0(X15),sbrdtbr0(X12)) )
| ( ! [X13,X14] :
( ~ aElementOf0(X13,slsdtgt0(xa))
| ~ aElementOf0(X14,slsdtgt0(xb))
| sdtpldt0(X13,X14) != X12 )
& ~ aElementOf0(X12,xI) ) )
& ! [X3] :
( ? [X6] :
( ! [X7] :
( ( ~ aElementOf0(X7,xI)
& ! [X9,X8] :
( ~ aElementOf0(X8,slsdtgt0(xa))
| ~ aElementOf0(X9,slsdtgt0(xb))
| sdtpldt0(X8,X9) != X7 ) )
| sz00 = X7
| ~ iLess0(sbrdtbr0(X7),sbrdtbr0(X6)) )
& aElementOf0(X6,xI)
& sz00 != X6
& ? [X10,X11] :
( sdtpldt0(X10,X11) = X6
& aElementOf0(X10,slsdtgt0(xa))
& aElementOf0(X11,slsdtgt0(xb)) ) )
| ( ~ aElementOf0(X3,xI)
& ! [X5,X4] :
( sdtpldt0(X5,X4) != X3
| ~ aElementOf0(X4,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa)) ) )
| ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X0))
| sz00 = X3 )
& sz00 != X0
& aElementOf0(X0,xI)
& ? [X1,X2] :
( sdtpldt0(X2,X1) = X0
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) ) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
? [X0] :
( ! [X12] :
( ? [X15] :
( iLess0(sbrdtbr0(X15),sbrdtbr0(X12))
& aElementOf0(X15,xI)
& sz00 != X15
& ? [X17,X16] :
( sdtpldt0(X17,X16) = X15
& aElementOf0(X16,slsdtgt0(xb))
& aElementOf0(X17,slsdtgt0(xa)) ) )
| sz00 = X12
| ( ! [X13,X14] :
( ~ aElementOf0(X13,slsdtgt0(xa))
| ~ aElementOf0(X14,slsdtgt0(xb))
| sdtpldt0(X13,X14) != X12 )
& ~ aElementOf0(X12,xI) ) )
& ! [X3] :
( ? [X6] :
( ! [X7] :
( ~ iLess0(sbrdtbr0(X7),sbrdtbr0(X6))
| ( ~ aElementOf0(X7,xI)
& ! [X9,X8] :
( ~ aElementOf0(X8,slsdtgt0(xa))
| ~ aElementOf0(X9,slsdtgt0(xb))
| sdtpldt0(X8,X9) != X7 ) )
| sz00 = X7 )
& ? [X10,X11] :
( sdtpldt0(X10,X11) = X6
& aElementOf0(X10,slsdtgt0(xa))
& aElementOf0(X11,slsdtgt0(xb)) )
& aElementOf0(X6,xI)
& sz00 != X6 )
| ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X0))
| ( ~ aElementOf0(X3,xI)
& ! [X5,X4] :
( sdtpldt0(X5,X4) != X3
| ~ aElementOf0(X4,slsdtgt0(xb))
| ~ aElementOf0(X5,slsdtgt0(xa)) ) )
| sz00 = X3 )
& ? [X1,X2] :
( sdtpldt0(X2,X1) = X0
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) )
& sz00 != X0
& aElementOf0(X0,xI) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
~ ! [X0] :
( ( ? [X1,X2] :
( sdtpldt0(X2,X1) = X0
& aElementOf0(X1,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) )
& sz00 != X0
& aElementOf0(X0,xI) )
=> ( ! [X3] :
( ( ( ? [X5,X4] :
( sdtpldt0(X5,X4) = X3
& aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X5,slsdtgt0(xa)) )
| aElementOf0(X3,xI) )
& sz00 != X3 )
=> ( iLess0(sbrdtbr0(X3),sbrdtbr0(X0))
=> ? [X6] :
( ! [X7] :
( ( ( aElementOf0(X7,xI)
| ? [X9,X8] :
( aElementOf0(X9,slsdtgt0(xb))
& sdtpldt0(X8,X9) = X7
& aElementOf0(X8,slsdtgt0(xa)) ) )
& sz00 != X7 )
=> ~ iLess0(sbrdtbr0(X7),sbrdtbr0(X6)) )
& ? [X10,X11] :
( sdtpldt0(X10,X11) = X6
& aElementOf0(X10,slsdtgt0(xa))
& aElementOf0(X11,slsdtgt0(xb)) )
& aElementOf0(X6,xI)
& sz00 != X6 ) ) )
=> ? [X12] :
( ! [X15] :
( ( aElementOf0(X15,xI)
& sz00 != X15
& ? [X17,X16] :
( sdtpldt0(X17,X16) = X15
& aElementOf0(X16,slsdtgt0(xb))
& aElementOf0(X17,slsdtgt0(xa)) ) )
=> ~ iLess0(sbrdtbr0(X15),sbrdtbr0(X12)) )
& sz00 != X12
& ( ? [X14,X13] :
( aElementOf0(X13,slsdtgt0(xa))
& sdtpldt0(X13,X14) = X12
& aElementOf0(X14,slsdtgt0(xb)) )
| aElementOf0(X12,xI) ) ) ) ),
inference(rectify,[],[f46]) ).
fof(f46,negated_conjecture,
~ ! [X0] :
( ( ? [X2,X1] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = X0 )
& sz00 != X0
& aElementOf0(X0,xI) )
=> ( ! [X1] :
( ( ( aElementOf0(X1,xI)
| ? [X3,X2] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb)) ) )
& sz00 != X1 )
=> ( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
=> ? [X2] :
( aElementOf0(X2,xI)
& ! [X3] :
( ( ( ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,slsdtgt0(xb))
& aElementOf0(X4,slsdtgt0(xa)) )
| aElementOf0(X3,xI) )
& sz00 != X3 )
=> ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X2)) )
& sz00 != X2
& ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xa))
& sdtpldt0(X3,X4) = X2
& aElementOf0(X4,slsdtgt0(xb)) ) ) ) )
=> ? [X1] :
( sz00 != X1
& ( aElementOf0(X1,xI)
| ? [X2,X3] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) ) )
& ! [X2] :
( ( ? [X4,X3] :
( aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa))
& sdtpldt0(X3,X4) = X2 )
& aElementOf0(X2,xI)
& sz00 != X2 )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ) ) ),
inference(negated_conjecture,[],[f45]) ).
fof(f45,conjecture,
! [X0] :
( ( ? [X2,X1] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = X0 )
& sz00 != X0
& aElementOf0(X0,xI) )
=> ( ! [X1] :
( ( ( aElementOf0(X1,xI)
| ? [X3,X2] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb)) ) )
& sz00 != X1 )
=> ( iLess0(sbrdtbr0(X1),sbrdtbr0(X0))
=> ? [X2] :
( aElementOf0(X2,xI)
& ! [X3] :
( ( ( ? [X4,X5] :
( sdtpldt0(X4,X5) = X3
& aElementOf0(X5,slsdtgt0(xb))
& aElementOf0(X4,slsdtgt0(xa)) )
| aElementOf0(X3,xI) )
& sz00 != X3 )
=> ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X2)) )
& sz00 != X2
& ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xa))
& sdtpldt0(X3,X4) = X2
& aElementOf0(X4,slsdtgt0(xb)) ) ) ) )
=> ? [X1] :
( sz00 != X1
& ( aElementOf0(X1,xI)
| ? [X2,X3] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) ) )
& ! [X2] :
( ( ? [X4,X3] :
( aElementOf0(X4,slsdtgt0(xb))
& aElementOf0(X3,slsdtgt0(xa))
& sdtpldt0(X3,X4) = X2 )
& aElementOf0(X2,xI)
& sz00 != X2 )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f1065,plain,
( sP2
| ~ aElementOf0(sK23,xI) ),
inference(subsumption_resolution,[],[f1064,f574]) ).
fof(f574,plain,
sz00 != sK23,
inference(literal_reordering,[],[f295]) ).
fof(f295,plain,
sz00 != sK23,
inference(cnf_transformation,[],[f169]) ).
fof(f1064,plain,
( sz00 = sK23
| sP2
| ~ aElementOf0(sK23,xI) ),
inference(resolution,[],[f1063,f473]) ).
fof(f473,plain,
! [X1] :
( sP3(X1)
| sz00 = X1
| ~ aElementOf0(X1,xI) ),
inference(literal_reordering,[],[f298]) ).
fof(f298,plain,
! [X1] :
( sP3(X1)
| sz00 = X1
| ~ aElementOf0(X1,xI) ),
inference(cnf_transformation,[],[f169]) ).
fof(f1063,plain,
( ~ sP3(sK23)
| sP2 ),
inference(subsumption_resolution,[],[f1062,f448]) ).
fof(f448,plain,
! [X0] :
( ~ sP3(X0)
| aElementOf0(sK17(X0),xI) ),
inference(literal_reordering,[],[f280]) ).
fof(f280,plain,
! [X0] :
( ~ sP3(X0)
| aElementOf0(sK17(X0),xI) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ( sdtpldt0(sK18(X0),sK19(X0)) = sK17(X0)
& aElementOf0(sK19(X0),slsdtgt0(xb))
& aElementOf0(sK18(X0),slsdtgt0(xa))
& aElementOf0(sK17(X0),xI)
& sz00 != sK17(X0)
& iLess0(sbrdtbr0(sK17(X0)),sbrdtbr0(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f157,f159,f158]) ).
fof(f158,plain,
! [X0] :
( ? [X1] :
( ? [X2,X3] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) )
& aElementOf0(X1,xI)
& sz00 != X1
& iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) )
=> ( ? [X3,X2] :
( sdtpldt0(X2,X3) = sK17(X0)
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) )
& aElementOf0(sK17(X0),xI)
& sz00 != sK17(X0)
& iLess0(sbrdtbr0(sK17(X0)),sbrdtbr0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
! [X0] :
( ? [X3,X2] :
( sdtpldt0(X2,X3) = sK17(X0)
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) )
=> ( sdtpldt0(sK18(X0),sK19(X0)) = sK17(X0)
& aElementOf0(sK19(X0),slsdtgt0(xb))
& aElementOf0(sK18(X0),slsdtgt0(xa)) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
! [X0] :
( ? [X1] :
( ? [X2,X3] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X3,slsdtgt0(xb))
& aElementOf0(X2,slsdtgt0(xa)) )
& aElementOf0(X1,xI)
& sz00 != X1
& iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) )
| ~ sP3(X0) ),
inference(rectify,[],[f156]) ).
fof(f156,plain,
! [X12] :
( ? [X15] :
( ? [X17,X16] :
( sdtpldt0(X17,X16) = X15
& aElementOf0(X16,slsdtgt0(xb))
& aElementOf0(X17,slsdtgt0(xa)) )
& aElementOf0(X15,xI)
& sz00 != X15
& iLess0(sbrdtbr0(X15),sbrdtbr0(X12)) )
| ~ sP3(X12) ),
inference(nnf_transformation,[],[f126]) ).
fof(f1062,plain,
( ~ aElementOf0(sK17(sK23),xI)
| sP2
| ~ sP3(sK23) ),
inference(subsumption_resolution,[],[f1061,f430]) ).
fof(f430,plain,
! [X0] :
( sz00 != sK17(X0)
| ~ sP3(X0) ),
inference(literal_reordering,[],[f279]) ).
fof(f279,plain,
! [X0] :
( sz00 != sK17(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f1061,plain,
( sP2
| ~ sP3(sK23)
| sz00 = sK17(sK23)
| ~ aElementOf0(sK17(sK23),xI) ),
inference(resolution,[],[f577,f479]) ).
fof(f479,plain,
! [X4] :
( ~ iLess0(sbrdtbr0(X4),sbrdtbr0(sK23))
| ~ aElementOf0(X4,xI)
| sz00 = X4
| sP2 ),
inference(literal_reordering,[],[f297]) ).
fof(f297,plain,
! [X4] :
( ~ iLess0(sbrdtbr0(X4),sbrdtbr0(sK23))
| sz00 = X4
| sP2
| ~ aElementOf0(X4,xI) ),
inference(cnf_transformation,[],[f169]) ).
fof(f577,plain,
! [X0] :
( iLess0(sbrdtbr0(sK17(X0)),sbrdtbr0(X0))
| ~ sP3(X0) ),
inference(literal_reordering,[],[f278]) ).
fof(f278,plain,
! [X0] :
( iLess0(sbrdtbr0(sK17(X0)),sbrdtbr0(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f531,plain,
( ~ sP2
| aElementOf0(sK20,xI) ),
inference(literal_reordering,[],[f288]) ).
fof(f288,plain,
( ~ sP2
| aElementOf0(sK20,xI) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( ( ! [X1] :
( ( ~ aElementOf0(X1,xI)
& ! [X2,X3] :
( ~ aElementOf0(X3,slsdtgt0(xa))
| ~ aElementOf0(X2,slsdtgt0(xb))
| sdtpldt0(X3,X2) != X1 ) )
| sz00 = X1
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(sK20)) )
& aElementOf0(sK20,xI)
& sz00 != sK20
& sdtpldt0(sK21,sK22) = sK20
& aElementOf0(sK21,slsdtgt0(xa))
& aElementOf0(sK22,slsdtgt0(xb)) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22])],[f162,f164,f163]) ).
fof(f163,plain,
( ? [X0] :
( ! [X1] :
( ( ~ aElementOf0(X1,xI)
& ! [X2,X3] :
( ~ aElementOf0(X3,slsdtgt0(xa))
| ~ aElementOf0(X2,slsdtgt0(xb))
| sdtpldt0(X3,X2) != X1 ) )
| sz00 = X1
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) )
& aElementOf0(X0,xI)
& sz00 != X0
& ? [X4,X5] :
( sdtpldt0(X4,X5) = X0
& aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X5,slsdtgt0(xb)) ) )
=> ( ! [X1] :
( ( ~ aElementOf0(X1,xI)
& ! [X2,X3] :
( ~ aElementOf0(X3,slsdtgt0(xa))
| ~ aElementOf0(X2,slsdtgt0(xb))
| sdtpldt0(X3,X2) != X1 ) )
| sz00 = X1
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(sK20)) )
& aElementOf0(sK20,xI)
& sz00 != sK20
& ? [X5,X4] :
( sdtpldt0(X4,X5) = sK20
& aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X5,slsdtgt0(xb)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
( ? [X5,X4] :
( sdtpldt0(X4,X5) = sK20
& aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X5,slsdtgt0(xb)) )
=> ( sdtpldt0(sK21,sK22) = sK20
& aElementOf0(sK21,slsdtgt0(xa))
& aElementOf0(sK22,slsdtgt0(xb)) ) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
( ? [X0] :
( ! [X1] :
( ( ~ aElementOf0(X1,xI)
& ! [X2,X3] :
( ~ aElementOf0(X3,slsdtgt0(xa))
| ~ aElementOf0(X2,slsdtgt0(xb))
| sdtpldt0(X3,X2) != X1 ) )
| sz00 = X1
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(X0)) )
& aElementOf0(X0,xI)
& sz00 != X0
& ? [X4,X5] :
( sdtpldt0(X4,X5) = X0
& aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X5,slsdtgt0(xb)) ) )
| ~ sP2 ),
inference(rectify,[],[f161]) ).
fof(f161,plain,
( ? [X6] :
( ! [X7] :
( ( ~ aElementOf0(X7,xI)
& ! [X9,X8] :
( ~ aElementOf0(X8,slsdtgt0(xa))
| ~ aElementOf0(X9,slsdtgt0(xb))
| sdtpldt0(X8,X9) != X7 ) )
| sz00 = X7
| ~ iLess0(sbrdtbr0(X7),sbrdtbr0(X6)) )
& aElementOf0(X6,xI)
& sz00 != X6
& ? [X10,X11] :
( sdtpldt0(X10,X11) = X6
& aElementOf0(X10,slsdtgt0(xa))
& aElementOf0(X11,slsdtgt0(xb)) ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f125]) ).
fof(f1629,plain,
~ aElementOf0(sK20,xI),
inference(subsumption_resolution,[],[f1628,f1093]) ).
fof(f1093,plain,
sz00 != sK20,
inference(subsumption_resolution,[],[f572,f1066]) ).
fof(f572,plain,
( ~ sP2
| sz00 != sK20 ),
inference(literal_reordering,[],[f287]) ).
fof(f287,plain,
( ~ sP2
| sz00 != sK20 ),
inference(cnf_transformation,[],[f165]) ).
fof(f1628,plain,
( sz00 = sK20
| ~ aElementOf0(sK20,xI) ),
inference(resolution,[],[f1620,f473]) ).
fof(f1620,plain,
~ sP3(sK20),
inference(subsumption_resolution,[],[f1619,f448]) ).
fof(f1619,plain,
( ~ aElementOf0(sK17(sK20),xI)
| ~ sP3(sK20) ),
inference(subsumption_resolution,[],[f1618,f430]) ).
fof(f1618,plain,
( sz00 = sK17(sK20)
| ~ aElementOf0(sK17(sK20),xI)
| ~ sP3(sK20) ),
inference(resolution,[],[f1616,f577]) ).
fof(f1616,plain,
! [X1] :
( ~ iLess0(sbrdtbr0(X1),sbrdtbr0(sK20))
| ~ aElementOf0(X1,xI)
| sz00 = X1 ),
inference(subsumption_resolution,[],[f461,f1066]) ).
fof(f461,plain,
! [X1] :
( ~ iLess0(sbrdtbr0(X1),sbrdtbr0(sK20))
| sz00 = X1
| ~ aElementOf0(X1,xI)
| ~ sP2 ),
inference(literal_reordering,[],[f290]) ).
fof(f290,plain,
! [X1] :
( ~ sP2
| ~ aElementOf0(X1,xI)
| sz00 = X1
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(sK20)) ),
inference(cnf_transformation,[],[f165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG111+4 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 12:33:46 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.51 % (8039)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51 % (8051)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.51 % (8050)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.51 % (8040)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.51 % (8043)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.51 % (8031)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.52 % (8029)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.52 % (8032)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (8035)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (8041)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.53 % (8057)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53 % (8054)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.53 % (8052)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.40/0.53 % (8053)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.40/0.53 % (8030)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.40/0.53 % (8034)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.40/0.53 % (8042)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.40/0.53 % (8045)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.40/0.53 % (8033)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.53 % (8049)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.40/0.54 % (8058)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.40/0.54 % (8055)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.40/0.54 % (8044)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.40/0.54 % (8046)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.40/0.54 % (8056)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.40/0.54 % (8047)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.54 % (8036)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.40/0.54 % (8037)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.40/0.55 % (8038)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.52/0.55 % (8036)Instruction limit reached!
% 1.52/0.55 % (8036)------------------------------
% 1.52/0.55 % (8036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (8048)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.55 % (8037)Instruction limit reached!
% 1.52/0.55 % (8037)------------------------------
% 1.52/0.55 % (8037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (8037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (8037)Termination reason: Unknown
% 1.52/0.55 % (8037)Termination phase: Preprocessing 3
% 1.52/0.55
% 1.52/0.55 % (8037)Memory used [KB]: 1023
% 1.52/0.55 % (8037)Time elapsed: 0.004 s
% 1.52/0.55 % (8037)Instructions burned: 3 (million)
% 1.52/0.55 % (8037)------------------------------
% 1.52/0.55 % (8037)------------------------------
% 1.52/0.56 TRYING [1]
% 1.52/0.56 TRYING [2]
% 1.52/0.56 % (8030)Refutation not found, incomplete strategy% (8030)------------------------------
% 1.52/0.56 % (8030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (8030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (8030)Termination reason: Refutation not found, incomplete strategy
% 1.52/0.56 TRYING [1]
% 1.52/0.56 TRYING [2]
% 1.52/0.57 % (8036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.57 % (8036)Termination reason: Unknown
% 1.52/0.57 % (8036)Termination phase: Saturation
% 1.52/0.57
% 1.52/0.57 % (8036)Memory used [KB]: 5756
% 1.52/0.57 % (8036)Time elapsed: 0.005 s
% 1.52/0.57 % (8036)Instructions burned: 9 (million)
% 1.52/0.57 % (8036)------------------------------
% 1.52/0.57 % (8036)------------------------------
% 1.52/0.57 TRYING [1]
% 1.52/0.58
% 1.52/0.58 % (8030)Memory used [KB]: 6140
% 1.52/0.58 % (8030)Time elapsed: 0.161 s
% 1.52/0.58 % (8030)Instructions burned: 24 (million)
% 1.52/0.58 % (8030)------------------------------
% 1.52/0.58 % (8030)------------------------------
% 1.52/0.58 % (8031)Instruction limit reached!
% 1.52/0.58 % (8031)------------------------------
% 1.52/0.58 % (8031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.58 % (8031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.58 % (8031)Termination reason: Unknown
% 1.52/0.58 % (8031)Termination phase: Saturation
% 1.52/0.58
% 1.52/0.58 % (8031)Memory used [KB]: 1663
% 1.52/0.58 % (8031)Time elapsed: 0.158 s
% 1.52/0.58 % (8031)Instructions burned: 38 (million)
% 1.52/0.58 % (8031)------------------------------
% 1.52/0.58 % (8031)------------------------------
% 1.52/0.58 TRYING [2]
% 1.52/0.59 TRYING [3]
% 1.52/0.59 % (8035)Instruction limit reached!
% 1.52/0.59 % (8035)------------------------------
% 1.52/0.59 % (8035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.59 % (8035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.59 % (8035)Termination reason: Unknown
% 1.52/0.59 % (8035)Termination phase: Finite model building constraint generation
% 1.52/0.59
% 1.52/0.59 % (8035)Memory used [KB]: 7675
% 1.52/0.59 % (8035)Time elapsed: 0.129 s
% 1.52/0.59 % (8035)Instructions burned: 51 (million)
% 1.52/0.59 % (8035)------------------------------
% 1.52/0.59 % (8035)------------------------------
% 1.52/0.60 TRYING [3]
% 1.52/0.60 % (8043)First to succeed.
% 1.52/0.61 % (8039)Instruction limit reached!
% 1.52/0.61 % (8039)------------------------------
% 1.52/0.61 % (8039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.61 % (8034)Instruction limit reached!
% 1.52/0.61 % (8034)------------------------------
% 1.52/0.61 % (8034)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.61 % (8043)Refutation found. Thanks to Tanya!
% 1.52/0.61 % SZS status Theorem for theBenchmark
% 1.52/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.61 % (8043)------------------------------
% 1.52/0.61 % (8043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.61 % (8043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.61 % (8043)Termination reason: Refutation
% 1.52/0.61
% 1.52/0.61 % (8043)Memory used [KB]: 6908
% 1.52/0.61 % (8043)Time elapsed: 0.040 s
% 1.52/0.61 % (8043)Instructions burned: 47 (million)
% 1.52/0.61 % (8043)------------------------------
% 1.52/0.61 % (8043)------------------------------
% 1.52/0.61 % (8028)Success in time 0.259 s
%------------------------------------------------------------------------------