TSTP Solution File: NUM558+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM558+3 : 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 : n029.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 18:05:48 EDT 2022
% Result : Theorem 1.46s 0.56s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 12 unt; 0 def)
% Number of atoms : 398 ( 62 equ)
% Maximal formula atoms : 43 ( 8 avg)
% Number of connectives : 483 ( 132 ~; 110 |; 200 &)
% ( 6 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 90 ( 72 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f833,plain,
$false,
inference(avatar_sat_refutation,[],[f461,f795,f832]) ).
fof(f832,plain,
~ spl19_2,
inference(avatar_contradiction_clause,[],[f831]) ).
fof(f831,plain,
( $false
| ~ spl19_2 ),
inference(subsumption_resolution,[],[f826,f385]) ).
fof(f385,plain,
~ aElementOf0(xx,xT),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
~ aElementOf0(xx,xT),
inference(flattening,[],[f73]) ).
fof(f73,negated_conjecture,
~ aElementOf0(xx,xT),
inference(negated_conjecture,[],[f72]) ).
fof(f72,conjecture,
aElementOf0(xx,xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f826,plain,
( aElementOf0(xx,xT)
| ~ spl19_2 ),
inference(resolution,[],[f460,f673]) ).
fof(f673,plain,
! [X1] :
( ~ aElementOf0(X1,xP)
| aElementOf0(X1,xT) ),
inference(resolution,[],[f407,f664]) ).
fof(f664,plain,
aElementOf0(xP,slbdtsldtrb0(xT,xk)),
inference(resolution,[],[f389,f339]) ).
fof(f339,plain,
aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( xk = sbrdtbr0(xP)
& aElementOf0(xP,slbdtsldtrb0(xS,xk))
& ! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xS) )
& aSubsetOf0(xP,xS) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) )
& aSubsetOf0(xP,xS)
& aElementOf0(xP,slbdtsldtrb0(xS,xk))
& xk = sbrdtbr0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2378) ).
fof(f389,plain,
! [X10] :
( ~ aElementOf0(X10,slbdtsldtrb0(xS,xk))
| aElementOf0(X10,slbdtsldtrb0(xT,xk)) ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
( ! [X0] :
( ( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ( aSubsetOf0(X0,xS)
& ! [X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) )
& aSet0(X0)
& sbrdtbr0(X0) = xk ) )
& ( sbrdtbr0(X0) != xk
| aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ( ~ aSubsetOf0(X0,xS)
& ( ( aElementOf0(sK13(X0),X0)
& ~ aElementOf0(sK13(X0),xS) )
| ~ aSet0(X0) ) ) ) )
& ! [X3] :
( ( ~ aElementOf0(X3,slbdtsldtrb0(xT,xk))
| ( sbrdtbr0(X3) = xk
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xT) )
& aSet0(X3)
& aSubsetOf0(X3,xT) ) )
& ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,xT)
& ( ~ aSet0(X3)
| ( aElementOf0(sK14(X3),X3)
& ~ aElementOf0(sK14(X3),xT) ) ) )
| aElementOf0(X3,slbdtsldtrb0(xT,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& aSet0(slbdtsldtrb0(xS,xk))
& ! [X6] :
( ( ( ! [X7] :
( ~ aElementOf0(X7,X6)
| aElementOf0(X7,xS) )
& aSubsetOf0(X6,xS)
& xk = sbrdtbr0(X6)
& aSet0(X6) )
| ~ aElementOf0(X6,slbdtsldtrb0(xS,xk)) )
& ( xk != sbrdtbr0(X6)
| ( ( ( aElementOf0(sK15(X6),X6)
& ~ aElementOf0(sK15(X6),xS) )
| ~ aSet0(X6) )
& ~ aSubsetOf0(X6,xS) )
| aElementOf0(X6,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& slcrc0 != slbdtsldtrb0(xS,xk)
& aElementOf0(sK16,slbdtsldtrb0(xS,xk))
& ! [X10] :
( aElementOf0(X10,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f243,f247,f246,f245,f244]) ).
fof(f244,plain,
! [X0] :
( ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(X2,xS) )
=> ( aElementOf0(sK13(X0),X0)
& ~ aElementOf0(sK13(X0),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f245,plain,
! [X3] :
( ? [X5] :
( aElementOf0(X5,X3)
& ~ aElementOf0(X5,xT) )
=> ( aElementOf0(sK14(X3),X3)
& ~ aElementOf0(sK14(X3),xT) ) ),
introduced(choice_axiom,[]) ).
fof(f246,plain,
! [X6] :
( ? [X8] :
( aElementOf0(X8,X6)
& ~ aElementOf0(X8,xS) )
=> ( aElementOf0(sK15(X6),X6)
& ~ aElementOf0(sK15(X6),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f247,plain,
( ? [X9] : aElementOf0(X9,slbdtsldtrb0(xS,xk))
=> aElementOf0(sK16,slbdtsldtrb0(xS,xk)) ),
introduced(choice_axiom,[]) ).
fof(f243,plain,
( ! [X0] :
( ( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ( aSubsetOf0(X0,xS)
& ! [X1] :
( ~ aElementOf0(X1,X0)
| aElementOf0(X1,xS) )
& aSet0(X0)
& sbrdtbr0(X0) = xk ) )
& ( sbrdtbr0(X0) != xk
| aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ( ~ aSubsetOf0(X0,xS)
& ( ? [X2] :
( aElementOf0(X2,X0)
& ~ aElementOf0(X2,xS) )
| ~ aSet0(X0) ) ) ) )
& ! [X3] :
( ( ~ aElementOf0(X3,slbdtsldtrb0(xT,xk))
| ( sbrdtbr0(X3) = xk
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xT) )
& aSet0(X3)
& aSubsetOf0(X3,xT) ) )
& ( sbrdtbr0(X3) != xk
| ( ~ aSubsetOf0(X3,xT)
& ( ~ aSet0(X3)
| ? [X5] :
( aElementOf0(X5,X3)
& ~ aElementOf0(X5,xT) ) ) )
| aElementOf0(X3,slbdtsldtrb0(xT,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& aSet0(slbdtsldtrb0(xS,xk))
& ! [X6] :
( ( ( ! [X7] :
( ~ aElementOf0(X7,X6)
| aElementOf0(X7,xS) )
& aSubsetOf0(X6,xS)
& xk = sbrdtbr0(X6)
& aSet0(X6) )
| ~ aElementOf0(X6,slbdtsldtrb0(xS,xk)) )
& ( xk != sbrdtbr0(X6)
| ( ( ? [X8] :
( aElementOf0(X8,X6)
& ~ aElementOf0(X8,xS) )
| ~ aSet0(X6) )
& ~ aSubsetOf0(X6,xS) )
| aElementOf0(X6,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& slcrc0 != slbdtsldtrb0(xS,xk)
& ? [X9] : aElementOf0(X9,slbdtsldtrb0(xS,xk))
& ! [X10] :
( aElementOf0(X10,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) ) ),
inference(rectify,[],[f156]) ).
fof(f156,plain,
( ! [X3] :
( ( ~ aElementOf0(X3,slbdtsldtrb0(xS,xk))
| ( aSubsetOf0(X3,xS)
& ! [X5] :
( ~ aElementOf0(X5,X3)
| aElementOf0(X5,xS) )
& aSet0(X3)
& sbrdtbr0(X3) = xk ) )
& ( sbrdtbr0(X3) != xk
| aElementOf0(X3,slbdtsldtrb0(xS,xk))
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( aElementOf0(X4,X3)
& ~ aElementOf0(X4,xS) )
| ~ aSet0(X3) ) ) ) )
& ! [X0] :
( ( ~ aElementOf0(X0,slbdtsldtrb0(xT,xk))
| ( sbrdtbr0(X0) = xk
& ! [X2] :
( ~ aElementOf0(X2,X0)
| aElementOf0(X2,xT) )
& aSet0(X0)
& aSubsetOf0(X0,xT) ) )
& ( sbrdtbr0(X0) != xk
| ( ~ aSubsetOf0(X0,xT)
& ( ~ aSet0(X0)
| ? [X1] :
( aElementOf0(X1,X0)
& ~ aElementOf0(X1,xT) ) ) )
| aElementOf0(X0,slbdtsldtrb0(xT,xk)) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& aSet0(slbdtsldtrb0(xS,xk))
& ! [X6] :
( ( ( ! [X8] :
( ~ aElementOf0(X8,X6)
| aElementOf0(X8,xS) )
& aSubsetOf0(X6,xS)
& xk = sbrdtbr0(X6)
& aSet0(X6) )
| ~ aElementOf0(X6,slbdtsldtrb0(xS,xk)) )
& ( xk != sbrdtbr0(X6)
| ( ( ? [X7] :
( aElementOf0(X7,X6)
& ~ aElementOf0(X7,xS) )
| ~ aSet0(X6) )
& ~ aSubsetOf0(X6,xS) )
| aElementOf0(X6,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& slcrc0 != slbdtsldtrb0(xS,xk)
& ? [X9] : aElementOf0(X9,slbdtsldtrb0(xS,xk))
& ! [X10] :
( aElementOf0(X10,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) ) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
( ! [X3] :
( ( ~ aElementOf0(X3,slbdtsldtrb0(xS,xk))
| ( aSubsetOf0(X3,xS)
& ! [X5] :
( ~ aElementOf0(X5,X3)
| aElementOf0(X5,xS) )
& aSet0(X3)
& sbrdtbr0(X3) = xk ) )
& ( aElementOf0(X3,slbdtsldtrb0(xS,xk))
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( aElementOf0(X4,X3)
& ~ aElementOf0(X4,xS) )
| ~ aSet0(X3) ) )
| sbrdtbr0(X3) != xk ) )
& aSet0(slbdtsldtrb0(xT,xk))
& slcrc0 != slbdtsldtrb0(xS,xk)
& ? [X9] : aElementOf0(X9,slbdtsldtrb0(xS,xk))
& ! [X6] :
( ( ( ! [X8] :
( ~ aElementOf0(X8,X6)
| aElementOf0(X8,xS) )
& aSubsetOf0(X6,xS)
& xk = sbrdtbr0(X6)
& aSet0(X6) )
| ~ aElementOf0(X6,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X6,slbdtsldtrb0(xS,xk))
| ( ( ? [X7] :
( aElementOf0(X7,X6)
& ~ aElementOf0(X7,xS) )
| ~ aSet0(X6) )
& ~ aSubsetOf0(X6,xS) )
| xk != sbrdtbr0(X6) ) )
& ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xT,xk))
| ( ~ aSubsetOf0(X0,xT)
& ( ~ aSet0(X0)
| ? [X1] :
( aElementOf0(X1,X0)
& ~ aElementOf0(X1,xT) ) ) )
| sbrdtbr0(X0) != xk )
& ( ~ aElementOf0(X0,slbdtsldtrb0(xT,xk))
| ( sbrdtbr0(X0) = xk
& ! [X2] :
( ~ aElementOf0(X2,X0)
| aElementOf0(X2,xT) )
& aSet0(X0)
& aSubsetOf0(X0,xT) ) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& aSet0(slbdtsldtrb0(xS,xk))
& ! [X10] :
( aElementOf0(X10,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X10,slbdtsldtrb0(xS,xk)) ) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,plain,
( ! [X3] :
( ( aElementOf0(X3,slbdtsldtrb0(xS,xk))
=> ( ! [X5] :
( aElementOf0(X5,X3)
=> aElementOf0(X5,xS) )
& aSubsetOf0(X3,xS)
& sbrdtbr0(X3) = xk
& aSet0(X3) ) )
& ( ( ( ( ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,xS) )
& aSet0(X3) )
| aSubsetOf0(X3,xS) )
& sbrdtbr0(X3) = xk )
=> aElementOf0(X3,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ~ ( ! [X6] :
( ( aElementOf0(X6,slbdtsldtrb0(xS,xk))
=> ( aSubsetOf0(X6,xS)
& aSet0(X6)
& ! [X8] :
( aElementOf0(X8,X6)
=> aElementOf0(X8,xS) )
& xk = sbrdtbr0(X6) ) )
& ( ( ( aSubsetOf0(X6,xS)
| ( ! [X7] :
( aElementOf0(X7,X6)
=> aElementOf0(X7,xS) )
& aSet0(X6) ) )
& xk = sbrdtbr0(X6) )
=> aElementOf0(X6,slbdtsldtrb0(xS,xk)) ) )
=> ( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ ? [X9] : aElementOf0(X9,slbdtsldtrb0(xS,xk)) ) )
& ! [X0] :
( ( ( ( aSubsetOf0(X0,xT)
| ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xT) ) ) )
& sbrdtbr0(X0) = xk )
=> aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xT,xk))
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,xT) )
& aSubsetOf0(X0,xT)
& aSet0(X0)
& sbrdtbr0(X0) = xk ) ) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& aSet0(slbdtsldtrb0(xS,xk))
& ! [X10] :
( aElementOf0(X10,slbdtsldtrb0(xS,xk))
=> aElementOf0(X10,slbdtsldtrb0(xT,xk)) ) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
( ! [X0] :
( ( ( ( aSubsetOf0(X0,xT)
| ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xT) ) ) )
& sbrdtbr0(X0) = xk )
=> aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xT,xk))
=> ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xT) )
& sbrdtbr0(X0) = xk
& aSubsetOf0(X0,xT)
& aSet0(X0) ) ) )
& ! [X0] :
( ( ( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) ) )
| aSubsetOf0(X0,xS) )
& sbrdtbr0(X0) = xk )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0)
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xk ) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& aSet0(slbdtsldtrb0(xS,xk))
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ~ ( ! [X0] :
( ( ( sbrdtbr0(X0) = xk
& ( ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) )
| aSubsetOf0(X0,xS) ) )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& sbrdtbr0(X0) = xk
& aSet0(X0)
& aSubsetOf0(X0,xS) ) ) )
=> ( slcrc0 = slbdtsldtrb0(xS,xk)
| ~ ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
& ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> aElementOf0(X0,slbdtsldtrb0(xT,xk)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2227) ).
fof(f407,plain,
! [X3,X4] :
( ~ aElementOf0(X3,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,X3)
| aElementOf0(X4,xT) ),
inference(cnf_transformation,[],[f248]) ).
fof(f460,plain,
( aElementOf0(xx,xP)
| ~ spl19_2 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f458,plain,
( spl19_2
<=> aElementOf0(xx,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_2])]) ).
fof(f795,plain,
spl19_1,
inference(avatar_contradiction_clause,[],[f794]) ).
fof(f794,plain,
( $false
| spl19_1 ),
inference(subsumption_resolution,[],[f793,f334]) ).
fof(f334,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( sz00 != xk
& aSet0(xT)
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).
fof(f793,plain,
( ~ aSet0(xS)
| spl19_1 ),
inference(subsumption_resolution,[],[f780,f456]) ).
fof(f456,plain,
( ~ aElement0(xx)
| spl19_1 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f454,plain,
( spl19_1
<=> aElement0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_1])]) ).
fof(f780,plain,
( ~ aSet0(xS)
| aElement0(xx) ),
inference(resolution,[],[f366,f290]) ).
fof(f290,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2256) ).
fof(f366,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aSet0(X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f461,plain,
( ~ spl19_1
| spl19_2 ),
inference(avatar_split_clause,[],[f445,f458,f454]) ).
fof(f445,plain,
( aElementOf0(xx,xP)
| ~ aElement0(xx) ),
inference(equality_resolution,[],[f354]) ).
fof(f354,plain,
! [X0] :
( aElementOf0(X0,xP)
| ~ aElement0(X0)
| xx != X0 ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& aSet0(sdtmndt0(xQ,xy))
& ! [X0] :
( ( aElementOf0(X0,xP)
| ~ aElement0(X0)
| ( ~ aElementOf0(X0,sdtmndt0(xQ,xy))
& xx != X0 ) )
& ( ( aElement0(X0)
& ( aElementOf0(X0,sdtmndt0(xQ,xy))
| xx = X0 ) )
| ~ aElementOf0(X0,xP) ) )
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(xQ,xy))
| ~ aElement0(X1)
| ~ aElementOf0(X1,xQ)
| xy = X1 )
& ( ( aElement0(X1)
& aElementOf0(X1,xQ)
& xy != X1 )
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ) )
& aSet0(xP) ),
inference(flattening,[],[f227]) ).
fof(f227,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& aSet0(sdtmndt0(xQ,xy))
& ! [X0] :
( ( aElementOf0(X0,xP)
| ~ aElement0(X0)
| ( ~ aElementOf0(X0,sdtmndt0(xQ,xy))
& xx != X0 ) )
& ( ( aElement0(X0)
& ( aElementOf0(X0,sdtmndt0(xQ,xy))
| xx = X0 ) )
| ~ aElementOf0(X0,xP) ) )
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(xQ,xy))
| ~ aElement0(X1)
| ~ aElementOf0(X1,xQ)
| xy = X1 )
& ( ( aElement0(X1)
& aElementOf0(X1,xQ)
& xy != X1 )
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ) )
& aSet0(xP) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& aSet0(sdtmndt0(xQ,xy))
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( aElement0(X0)
& ( aElementOf0(X0,sdtmndt0(xQ,xy))
| xx = X0 ) ) )
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xQ,xy))
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& xy != X1 ) )
& aSet0(xP) ),
inference(rectify,[],[f70]) ).
fof(f70,axiom,
( ! [X0] :
( aElementOf0(X0,xP)
<=> ( aElement0(X0)
& ( aElementOf0(X0,sdtmndt0(xQ,xy))
| xx = X0 ) ) )
& aSet0(xP)
& ! [X0] :
( ( xy != X0
& aElement0(X0)
& aElementOf0(X0,xQ) )
<=> aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aSet0(sdtmndt0(xQ,xy))
& xP = sdtpldt0(sdtmndt0(xQ,xy),xx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2357) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM558+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.35 % Computer : n029.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Aug 30 07:12:27 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.46 % (7122)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)
% 0.20/0.47 % (7106)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)
% 0.20/0.49 % (7125)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)
% 0.20/0.50 % (7115)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.50 % (7107)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (7131)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.50 % (7114)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)
% 0.20/0.50 % (7104)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)
% 0.20/0.50 % (7113)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (7105)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)
% 0.20/0.51 % (7121)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (7117)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)
% 0.20/0.51 % (7126)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)
% 0.20/0.51 % (7129)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)
% 0.20/0.51 % (7118)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)
% 0.20/0.51 % (7119)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)
% 0.20/0.51 % (7110)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (7109)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)
% 0.20/0.52 % (7128)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52 % (7123)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)
% 0.20/0.52 % (7116)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (7108)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)
% 0.20/0.52 % (7127)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52 % (7120)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52 % (7130)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)
% 0.20/0.52 % (7132)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)
% 0.20/0.52 % (7111)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (7110)Instruction limit reached!
% 0.20/0.52 % (7110)------------------------------
% 0.20/0.52 % (7110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (7110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (7110)Termination reason: Unknown
% 0.20/0.52 % (7110)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (7110)Memory used [KB]: 5628
% 0.20/0.52 % (7110)Time elapsed: 0.007 s
% 0.20/0.52 % (7110)Instructions burned: 7 (million)
% 0.20/0.52 % (7110)------------------------------
% 0.20/0.52 % (7110)------------------------------
% 0.20/0.52 % (7111)Instruction limit reached!
% 0.20/0.52 % (7111)------------------------------
% 0.20/0.52 % (7111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (7111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (7111)Termination reason: Unknown
% 0.20/0.52 % (7111)Termination phase: Preprocessing 3
% 0.20/0.52
% 0.20/0.52 % (7111)Memory used [KB]: 1023
% 0.20/0.52 % (7111)Time elapsed: 0.003 s
% 0.20/0.52 % (7111)Instructions burned: 3 (million)
% 0.20/0.52 % (7111)------------------------------
% 0.20/0.52 % (7111)------------------------------
% 0.20/0.52 % (7103)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)
% 0.20/0.53 % (7124)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53 % (7112)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)
% 0.20/0.54 % (7107)First to succeed.
% 0.20/0.55 TRYING [1]
% 1.46/0.56 % (7107)Refutation found. Thanks to Tanya!
% 1.46/0.56 % SZS status Theorem for theBenchmark
% 1.46/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.56 % (7107)------------------------------
% 1.46/0.56 % (7107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56 % (7107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56 % (7107)Termination reason: Refutation
% 1.46/0.56
% 1.46/0.56 % (7107)Memory used [KB]: 6012
% 1.46/0.56 % (7107)Time elapsed: 0.112 s
% 1.46/0.56 % (7107)Instructions burned: 21 (million)
% 1.46/0.56 % (7107)------------------------------
% 1.46/0.56 % (7107)------------------------------
% 1.46/0.56 % (7102)Success in time 0.193 s
%------------------------------------------------------------------------------