TSTP Solution File: NUM625+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM625+1 : 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 : n027.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 18:06:11 EDT 2022
% Result : Unknown 1.60s 0.55s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 69 ( 16 unt; 0 def)
% Number of atoms : 358 ( 59 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 458 ( 169 ~; 160 |; 105 &)
% ( 15 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 9 con; 0-3 aty)
% Number of variables : 124 ( 112 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f749,plain,
$false,
inference(resolution,[],[f745,f407]) ).
fof(f407,plain,
aSet0(xO),
inference(cnf_transformation,[],[f95]) ).
fof(f95,axiom,
( xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).
fof(f745,plain,
~ aSet0(xO),
inference(resolution,[],[f741,f452]) ).
fof(f452,plain,
aSubsetOf0(xQ,xO),
inference(cnf_transformation,[],[f100]) ).
fof(f100,axiom,
( slcrc0 != xQ
& aSubsetOf0(xQ,xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).
fof(f741,plain,
! [X0] :
( ~ aSubsetOf0(xQ,X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f739,f574]) ).
fof(f574,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f361]) ).
fof(f361,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK26(X0,X1),X0)
& aElementOf0(sK26(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f359,f360]) ).
fof(f360,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK26(X0,X1),X0)
& aElementOf0(sK26(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) ) ),
inference(rectify,[],[f358]) ).
fof(f358,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) ) ),
inference(flattening,[],[f357]) ).
fof(f357,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) ) ),
inference(nnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f739,plain,
~ aSet0(xQ),
inference(resolution,[],[f735,f386]) ).
fof(f386,plain,
aElementOf0(xx,szNzAzT0),
inference(cnf_transformation,[],[f114]) ).
fof(f114,axiom,
( aElementOf0(xx,szNzAzT0)
& aElementOf0(xx,xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5365) ).
fof(f735,plain,
( ~ aElementOf0(xx,szNzAzT0)
| ~ aSet0(xQ) ),
inference(resolution,[],[f731,f609]) ).
fof(f609,plain,
! [X0] :
( aSet0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f468]) ).
fof(f468,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(X1)
| slbdtrb0(X0) != X1 ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( slbdtrb0(X0) = X1
| ~ aSet0(X1)
| ( ( ~ aElementOf0(sK9(X0,X1),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(sK9(X0,X1)),X0)
| ~ aElementOf0(sK9(X0,X1),X1) )
& ( ( aElementOf0(sK9(X0,X1),szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(sK9(X0,X1)),X0) )
| aElementOf0(sK9(X0,X1),X1) ) ) )
& ( ( aSet0(X1)
& ! [X3] :
( ( aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0) )
& ( ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X0) )
| ~ aElementOf0(X3,X1) ) ) )
| slbdtrb0(X0) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f306,f307]) ).
fof(f307,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,X1) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| aElementOf0(X2,X1) ) )
=> ( ( ~ aElementOf0(sK9(X0,X1),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(sK9(X0,X1)),X0)
| ~ aElementOf0(sK9(X0,X1),X1) )
& ( ( aElementOf0(sK9(X0,X1),szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(sK9(X0,X1)),X0) )
| aElementOf0(sK9(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f306,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( slbdtrb0(X0) = X1
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,X1) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X3] :
( ( aElementOf0(X3,X1)
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0) )
& ( ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X0) )
| ~ aElementOf0(X3,X1) ) ) )
| slbdtrb0(X0) != X1 ) ) ),
inference(rectify,[],[f305]) ).
fof(f305,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( slbdtrb0(X0) = X1
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,X1) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( aElementOf0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| ~ aElementOf0(X2,X1) ) ) )
| slbdtrb0(X0) != X1 ) ) ),
inference(flattening,[],[f304]) ).
fof(f304,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( slbdtrb0(X0) = X1
| ~ aSet0(X1)
| ? [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,X1) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( aElementOf0(X2,X1)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) )
| ~ aElementOf0(X2,X1) ) ) )
| slbdtrb0(X0) != X1 ) ) ),
inference(nnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( slbdtrb0(X0) = X1
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) ) ) ) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( slbdtrb0(X0) = X1
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
fof(f731,plain,
( ~ aSet0(slbdtrb0(xx))
| ~ aSet0(xQ) ),
inference(resolution,[],[f728,f693]) ).
fof(f693,plain,
( aElement0(xx)
| ~ aSet0(slbdtrb0(xx)) ),
inference(superposition,[],[f451,f673]) ).
fof(f673,plain,
xx = sbrdtbr0(slbdtrb0(xx)),
inference(resolution,[],[f415,f386]) ).
fof(f415,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(X0)) = X0 ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sbrdtbr0(slbdtrb0(X0)) = X0 ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSeg) ).
fof(f451,plain,
! [X0] :
( aElement0(sbrdtbr0(X0))
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0] :
( ~ aSet0(X0)
| aElement0(sbrdtbr0(X0)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( aSet0(X0)
=> aElement0(sbrdtbr0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardS) ).
fof(f728,plain,
( ~ aElement0(xx)
| ~ aSet0(xQ) ),
inference(resolution,[],[f727,f520]) ).
fof(f520,plain,
aElementOf0(xx,xP),
inference(cnf_transformation,[],[f113]) ).
fof(f113,axiom,
aElementOf0(xx,xP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5348) ).
fof(f727,plain,
( ~ aElementOf0(xx,xP)
| ~ aElement0(xx)
| ~ aSet0(xQ) ),
inference(resolution,[],[f726,f490]) ).
fof(f490,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| sP3(X1,X0) ),
inference(definition_folding,[],[f252,f271,f270]) ).
fof(f270,plain,
! [X2,X1,X0] :
( sP2(X2,X1,X0)
<=> ( aSet0(X2)
& ! [X3] :
( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
<=> aElementOf0(X3,X2) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f271,plain,
! [X1,X0] :
( ! [X2] :
( sP2(X2,X1,X0)
<=> sdtmndt0(X0,X1) = X2 )
| ~ sP3(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f252,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElement0(X1)
| ! [X2] :
( ( aSet0(X2)
& ! [X3] :
( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
<=> aElementOf0(X3,X2) ) )
<=> sdtmndt0(X0,X1) = X2 ) ),
inference(flattening,[],[f251]) ).
fof(f251,plain,
! [X0,X1] :
( ! [X2] :
( ( aSet0(X2)
& ! [X3] :
( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
<=> aElementOf0(X3,X2) ) )
<=> sdtmndt0(X0,X1) = X2 )
| ~ aElement0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aSet0(X0) )
=> ! [X2] :
( ( aSet0(X2)
& ! [X3] :
( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
<=> aElementOf0(X3,X2) ) )
<=> sdtmndt0(X0,X1) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f726,plain,
( ~ sP3(xx,xQ)
| ~ aElementOf0(xx,xP) ),
inference(resolution,[],[f725,f614]) ).
fof(f614,plain,
! [X2,X0,X4] :
( ~ sP2(X0,X4,X2)
| ~ aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f484]) ).
fof(f484,plain,
! [X2,X0,X1,X4] :
( X1 != X4
| ~ aElementOf0(X4,X0)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f317]) ).
fof(f317,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ~ aSet0(X0)
| ( ( ~ aElementOf0(sK11(X0,X1,X2),X0)
| sK11(X0,X1,X2) = X1
| ~ aElementOf0(sK11(X0,X1,X2),X2)
| ~ aElement0(sK11(X0,X1,X2)) )
& ( aElementOf0(sK11(X0,X1,X2),X0)
| ( sK11(X0,X1,X2) != X1
& aElementOf0(sK11(X0,X1,X2),X2)
& aElement0(sK11(X0,X1,X2)) ) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( ( X1 != X4
& aElementOf0(X4,X2)
& aElement0(X4) )
| ~ aElementOf0(X4,X0) )
& ( aElementOf0(X4,X0)
| X1 = X4
| ~ aElementOf0(X4,X2)
| ~ aElement0(X4) ) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f315,f316]) ).
fof(f316,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2)
| ~ aElement0(X3) )
& ( aElementOf0(X3,X0)
| ( X1 != X3
& aElementOf0(X3,X2)
& aElement0(X3) ) ) )
=> ( ( ~ aElementOf0(sK11(X0,X1,X2),X0)
| sK11(X0,X1,X2) = X1
| ~ aElementOf0(sK11(X0,X1,X2),X2)
| ~ aElement0(sK11(X0,X1,X2)) )
& ( aElementOf0(sK11(X0,X1,X2),X0)
| ( sK11(X0,X1,X2) != X1
& aElementOf0(sK11(X0,X1,X2),X2)
& aElement0(sK11(X0,X1,X2)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f315,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ~ aSet0(X0)
| ? [X3] :
( ( ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2)
| ~ aElement0(X3) )
& ( aElementOf0(X3,X0)
| ( X1 != X3
& aElementOf0(X3,X2)
& aElement0(X3) ) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( ( X1 != X4
& aElementOf0(X4,X2)
& aElement0(X4) )
| ~ aElementOf0(X4,X0) )
& ( aElementOf0(X4,X0)
| X1 = X4
| ~ aElementOf0(X4,X2)
| ~ aElement0(X4) ) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f314]) ).
fof(f314,plain,
! [X2,X1,X0] :
( ( sP2(X2,X1,X0)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( aElementOf0(X3,X2)
| ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) ) ) )
| ~ sP2(X2,X1,X0) ) ),
inference(flattening,[],[f313]) ).
fof(f313,plain,
! [X2,X1,X0] :
( ( sP2(X2,X1,X0)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) )
& ( aElementOf0(X3,X2)
| ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) ) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( ( X1 != X3
& aElementOf0(X3,X0)
& aElement0(X3) )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3) ) ) )
| ~ sP2(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f270]) ).
fof(f725,plain,
( sP2(xP,xx,xQ)
| ~ sP3(xx,xQ) ),
inference(superposition,[],[f613,f640]) ).
fof(f640,plain,
xP = sdtmndt0(xQ,xx),
inference(backward_demodulation,[],[f450,f601]) ).
fof(f601,plain,
szmzizndt0(xQ) = xx,
inference(definition_unfolding,[],[f569,f444]) ).
fof(f444,plain,
xp = xx,
inference(cnf_transformation,[],[f120]) ).
fof(f120,axiom,
xp = xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5496) ).
fof(f569,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,axiom,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
fof(f450,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(cnf_transformation,[],[f104]) ).
fof(f104,axiom,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& aSet0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
fof(f613,plain,
! [X0,X1] :
( sP2(sdtmndt0(X1,X0),X0,X1)
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f480]) ).
fof(f480,plain,
! [X2,X0,X1] :
( sP2(X2,X0,X1)
| sdtmndt0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0,X1] :
( ! [X2] :
( ( sP2(X2,X0,X1)
| sdtmndt0(X1,X0) != X2 )
& ( sdtmndt0(X1,X0) = X2
| ~ sP2(X2,X0,X1) ) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f311]) ).
fof(f311,plain,
! [X1,X0] :
( ! [X2] :
( ( sP2(X2,X1,X0)
| sdtmndt0(X0,X1) != X2 )
& ( sdtmndt0(X0,X1) = X2
| ~ sP2(X2,X1,X0) ) )
| ~ sP3(X1,X0) ),
inference(nnf_transformation,[],[f271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM625+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 07:41:45 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 % (17072)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.47 % (17094)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)
% 0.19/0.47 % (17086)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.48 % (17080)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (17083)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)
% 0.19/0.50 % (17077)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)
% 0.19/0.50 % (17075)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (17096)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.51 % (17074)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)
% 0.19/0.51 % (17073)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)
% 0.19/0.51 % (17075)Instruction limit reached!
% 0.19/0.51 % (17075)------------------------------
% 0.19/0.51 % (17075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (17075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (17075)Termination reason: Unknown
% 0.19/0.51 % (17075)Termination phase: shuffling
% 0.19/0.51
% 0.19/0.51 % (17075)Memory used [KB]: 1279
% 0.19/0.51 % (17075)Time elapsed: 0.008 s
% 0.19/0.51 % (17075)Instructions burned: 8 (million)
% 0.19/0.51 % (17075)------------------------------
% 0.19/0.51 % (17075)------------------------------
% 0.19/0.51 % (17091)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)
% 0.19/0.51 % (17069)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)
% 0.19/0.52 % (17070)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)
% 0.19/0.52 % (17082)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)
% 0.19/0.52 % (17097)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)
% 0.19/0.52 % (17093)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (17068)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)
% 0.19/0.52 % (17095)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)
% 0.19/0.52 % (17071)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)
% 0.19/0.53 % (17076)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (17076)Instruction limit reached!
% 0.19/0.53 % (17076)------------------------------
% 0.19/0.53 % (17076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (17076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (17076)Termination reason: Unknown
% 0.19/0.53 % (17076)Termination phase: Unused predicate definition removal
% 0.19/0.53
% 0.19/0.53 % (17076)Memory used [KB]: 1023
% 0.19/0.53 % (17076)Time elapsed: 0.002 s
% 0.19/0.53 % (17076)Instructions burned: 2 (million)
% 0.19/0.53 % (17076)------------------------------
% 0.19/0.53 % (17076)------------------------------
% 0.19/0.53 % (17077)First to succeed.
% 0.19/0.53 % (17087)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)
% 1.46/0.53 % (17090)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)
% 1.46/0.53 % (17092)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.46/0.53 % (17088)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)
% 1.46/0.54 % (17085)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.46/0.54 % (17084)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)
% 1.46/0.54 % (17081)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.46/0.54 % (17089)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.46/0.54 TRYING [1]
% 1.46/0.54 % (17079)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)
% 1.46/0.54 % (17078)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.60/0.55 % (17077)Refutation found. Thanks to Tanya!
% 1.60/0.55 % SZS status ContradictoryAxioms for theBenchmark
% 1.60/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.55 % (17077)------------------------------
% 1.60/0.55 % (17077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.55 % (17077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.55 % (17077)Termination reason: Refutation
% 1.60/0.55
% 1.60/0.55 % (17077)Memory used [KB]: 1535
% 1.60/0.55 % (17077)Time elapsed: 0.128 s
% 1.60/0.55 % (17077)Instructions burned: 21 (million)
% 1.60/0.55 % (17077)------------------------------
% 1.60/0.55 % (17077)------------------------------
% 1.60/0.55 % (17067)Success in time 0.209 s
%------------------------------------------------------------------------------