TSTP Solution File: NUM545+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM545+2 : 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_uns --cores 0 -t %d %s
% Computer : n001.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 18:00:29 EDT 2022
% Result : Theorem 1.23s 0.65s
% Output : Refutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 62 ( 5 unt; 0 def)
% Number of atoms : 281 ( 20 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 328 ( 109 ~; 81 |; 106 &)
% ( 16 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-1 aty)
% Number of variables : 82 ( 67 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f342,plain,
$false,
inference(avatar_sat_refutation,[],[f264,f291,f301,f310,f313,f341]) ).
fof(f341,plain,
( ~ spl8_4
| ~ spl8_12 ),
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f340,plain,
( $false
| ~ spl8_4
| ~ spl8_12 ),
inference(subsumption_resolution,[],[f335,f321]) ).
fof(f321,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ spl8_12 ),
inference(resolution,[],[f201,f300]) ).
fof(f300,plain,
( aElementOf0(szmzazxdt0(xS),xS)
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f298,plain,
( spl8_12
<=> aElementOf0(szmzazxdt0(xS),xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
fof(f201,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& aSet0(xS)
& isFinite0(xS) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
( aSubsetOf0(xS,szNzAzT0)
& aSet0(xS)
& isFinite0(xS)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1986) ).
fof(f335,plain,
( ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ spl8_4 ),
inference(resolution,[],[f164,f334]) ).
fof(f334,plain,
( ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| ~ spl8_4 ),
inference(resolution,[],[f263,f184]) ).
fof(f184,plain,
! [X0] :
( ~ aSubsetOf0(xS,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( aSet0(slbdtrb0(X0))
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& ! [X1] :
( ( ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) )
| ~ aElementOf0(X1,slbdtrb0(X0)) )
& ( aElementOf0(X1,slbdtrb0(X0))
| ~ sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X1,szNzAzT0) ) )
& aElementOf0(sK2(X0),xS)
& ~ aElementOf0(sK2(X0),slbdtrb0(X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f129,f130]) ).
fof(f130,plain,
! [X0] :
( ? [X2] :
( aElementOf0(X2,xS)
& ~ aElementOf0(X2,slbdtrb0(X0)) )
=> ( aElementOf0(sK2(X0),xS)
& ~ aElementOf0(sK2(X0),slbdtrb0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0] :
( ( aSet0(slbdtrb0(X0))
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& ! [X1] :
( ( ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) )
| ~ aElementOf0(X1,slbdtrb0(X0)) )
& ( aElementOf0(X1,slbdtrb0(X0))
| ~ sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X1,szNzAzT0) ) )
& ? [X2] :
( aElementOf0(X2,xS)
& ~ aElementOf0(X2,slbdtrb0(X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ( aSet0(slbdtrb0(X0))
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& ! [X1] :
( ( ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) )
| ~ aElementOf0(X1,slbdtrb0(X0)) )
& ( aElementOf0(X1,slbdtrb0(X0))
| ~ sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X1,szNzAzT0) ) )
& ? [X2] :
( aElementOf0(X2,xS)
& ~ aElementOf0(X2,slbdtrb0(X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ( aSet0(slbdtrb0(X0))
& ~ aSubsetOf0(xS,slbdtrb0(X0))
& ! [X1] :
( ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) )
<=> aElementOf0(X1,slbdtrb0(X0)) )
& ? [X2] :
( aElementOf0(X2,xS)
& ~ aElementOf0(X2,slbdtrb0(X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ( ~ aSubsetOf0(xS,slbdtrb0(X0))
& ? [X2] :
( aElementOf0(X2,xS)
& ~ aElementOf0(X2,slbdtrb0(X0)) )
& aSet0(slbdtrb0(X0))
& ! [X1] :
( ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) )
<=> aElementOf0(X1,slbdtrb0(X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
~ ? [X0] :
( ( ( aSet0(slbdtrb0(X0))
& ! [X1] :
( ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) )
<=> aElementOf0(X1,slbdtrb0(X0)) ) )
=> ( aSubsetOf0(xS,slbdtrb0(X0))
| ! [X2] :
( aElementOf0(X2,xS)
=> aElementOf0(X2,slbdtrb0(X0)) ) ) )
& aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f58]) ).
fof(f58,negated_conjecture,
~ ? [X0] :
( ( ( aSet0(slbdtrb0(X0))
& ! [X1] :
( ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) )
<=> aElementOf0(X1,slbdtrb0(X0)) ) )
=> ( aSubsetOf0(xS,slbdtrb0(X0))
| ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,slbdtrb0(X0)) ) ) )
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[],[f57]) ).
fof(f57,conjecture,
? [X0] :
( ( ( aSet0(slbdtrb0(X0))
& ! [X1] :
( ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) )
<=> aElementOf0(X1,slbdtrb0(X0)) ) )
=> ( aSubsetOf0(xS,slbdtrb0(X0))
| ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,slbdtrb0(X0)) ) ) )
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f263,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl8_4
<=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
fof(f164,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f313,plain,
( spl8_2
| ~ spl8_10 ),
inference(avatar_split_clause,[],[f312,f288,f253]) ).
fof(f253,plain,
( spl8_2
<=> ! [X0] : ~ aElementOf0(X0,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f288,plain,
( spl8_10
<=> slcrc0 = xS ),
introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).
fof(f312,plain,
( ! [X1] : ~ aElementOf0(X1,xS)
| ~ spl8_10 ),
inference(forward_demodulation,[],[f245,f290]) ).
fof(f290,plain,
( slcrc0 = xS
| ~ spl8_10 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f245,plain,
! [X1] : ~ aElementOf0(X1,slcrc0),
inference(equality_resolution,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| aElementOf0(sK7(X0),X0)
| ~ aSet0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f160,f161]) ).
fof(f161,plain,
! [X0] :
( ? [X2] : aElementOf0(X2,X0)
=> aElementOf0(sK7(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
! [X0] :
( ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ? [X2] : aElementOf0(X2,X0)
| ~ aSet0(X0) ) ),
inference(rectify,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 )
& ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) ) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
<=> slcrc0 = X0 ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) )
<=> slcrc0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f310,plain,
~ spl8_2,
inference(avatar_contradiction_clause,[],[f309]) ).
fof(f309,plain,
( $false
| ~ spl8_2 ),
inference(subsumption_resolution,[],[f204,f306]) ).
fof(f306,plain,
( ! [X0] : ~ aElementOf0(X0,szNzAzT0)
| ~ spl8_2 ),
inference(resolution,[],[f254,f180]) ).
fof(f180,plain,
! [X0] :
( aElementOf0(sK2(X0),xS)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f254,plain,
( ! [X0] : ~ aElementOf0(X0,xS)
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f204,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
fof(f301,plain,
( ~ spl8_1
| spl8_12 ),
inference(avatar_split_clause,[],[f231,f298,f249]) ).
fof(f249,plain,
( spl8_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f231,plain,
( aElementOf0(szmzazxdt0(xS),xS)
| ~ sP0 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X0] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X0,xS) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X1] :
( ~ aElementOf0(X1,xS)
| sdtlseqdt0(X1,szmzazxdt0(xS)) )
& ! [X2] :
( ( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))) )
& ( ( aElementOf0(X2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(szmzazxdt0(xS))) )
| ~ aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
| ~ sP0 ),
inference(rectify,[],[f156]) ).
fof(f156,plain,
( ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X2] :
( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X2,xS) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X1] :
( ~ aElementOf0(X1,xS)
| sdtlseqdt0(X1,szmzazxdt0(xS)) )
& ! [X3] :
( ( aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(szmzazxdt0(xS))) )
& ( ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(szmzazxdt0(xS))) )
| ~ aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
| ~ sP0 ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
( ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X2] :
( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X2,xS) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X1] :
( ~ aElementOf0(X1,xS)
| sdtlseqdt0(X1,szmzazxdt0(xS)) )
& ! [X3] :
( ( aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X3,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(szmzazxdt0(xS))) )
& ( ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(szmzazxdt0(xS))) )
| ~ aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
| ~ sP0 ),
inference(nnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X2] :
( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X2,xS) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X1] :
( ~ aElementOf0(X1,xS)
| sdtlseqdt0(X1,szmzazxdt0(xS)) )
& ! [X3] :
( aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(szmzazxdt0(xS))) ) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f291,plain,
( spl8_10
| spl8_1 ),
inference(avatar_split_clause,[],[f232,f249,f288]) ).
fof(f232,plain,
( sP0
| slcrc0 = xS ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ( ! [X0] : ~ aElementOf0(X0,xS)
& slcrc0 = xS )
| sP0 ),
inference(definition_folding,[],[f113,f120]) ).
fof(f113,plain,
( ( ! [X0] : ~ aElementOf0(X0,xS)
& slcrc0 = xS )
| ( aElementOf0(szmzazxdt0(xS),xS)
& ! [X2] :
( aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(X2,xS) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X1] :
( ~ aElementOf0(X1,xS)
| sdtlseqdt0(X1,szmzazxdt0(xS)) )
& ! [X3] :
( aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(szmzazxdt0(xS))) ) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
( ~ ( slcrc0 = xS
& ~ ? [X0] : aElementOf0(X0,xS) )
=> ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& aElementOf0(szmzazxdt0(xS),xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X1,szmzazxdt0(xS)) )
& ! [X2] :
( aElementOf0(X2,xS)
=> aElementOf0(X2,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [X3] :
( aElementOf0(X3,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(szmzazxdt0(xS))) ) ) ) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
( ~ ( slcrc0 = xS
& ~ ? [X0] : aElementOf0(X0,xS) )
=> ( ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(X0,szmzazxdt0(xS)) )
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& ! [X0] :
( aElementOf0(X0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(szmzazxdt0(xS)))
& aElementOf0(X0,szNzAzT0) ) )
& aElementOf0(szmzazxdt0(xS),xS)
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2035) ).
fof(f264,plain,
( ~ spl8_1
| spl8_4 ),
inference(avatar_split_clause,[],[f229,f261,f249]) ).
fof(f229,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ sP0 ),
inference(cnf_transformation,[],[f157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM545+2 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 07:19:46 EDT 2022
% 0.13/0.34 % CPUTime :
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% 0.98/0.63 % (24292)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.19/0.64 % (24292)Instruction limit reached!
% 1.19/0.64 % (24292)------------------------------
% 1.19/0.64 % (24292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.19/0.64 % (24292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.19/0.64 % (24292)Termination reason: Unknown
% 1.19/0.64 % (24292)Termination phase: Equality resolution with deletion
% 1.19/0.64
% 1.19/0.64 % (24292)Memory used [KB]: 1535
% 1.19/0.64 % (24292)Time elapsed: 0.007 s
% 1.19/0.64 % (24292)Instructions burned: 4 (million)
% 1.19/0.64 % (24292)------------------------------
% 1.19/0.64 % (24292)------------------------------
% 1.19/0.64 % (24284)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.23/0.65 % (24284)First to succeed.
% 1.23/0.65 % (24293)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.23/0.65 % (24284)Refutation found. Thanks to Tanya!
% 1.23/0.65 % SZS status Theorem for theBenchmark
% 1.23/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 1.23/0.65 % (24284)------------------------------
% 1.23/0.65 % (24284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.65 % (24284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.65 % (24284)Termination reason: Refutation
% 1.23/0.65
% 1.23/0.65 % (24284)Memory used [KB]: 6140
% 1.23/0.65 % (24284)Time elapsed: 0.039 s
% 1.23/0.65 % (24284)Instructions burned: 7 (million)
% 1.23/0.65 % (24284)------------------------------
% 1.23/0.65 % (24284)------------------------------
% 1.23/0.65 % (24144)Success in time 0.304 s
%------------------------------------------------------------------------------