TSTP Solution File: NUM556+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM556+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n010.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 08:13:00 EDT 2024
% Result : Theorem 0.74s 0.79s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of formulae : 102 ( 17 unt; 0 def)
% Number of atoms : 340 ( 61 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 381 ( 143 ~; 140 |; 72 &)
% ( 13 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 9 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-2 aty)
% Number of variables : 51 ( 49 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2767,plain,
$false,
inference(avatar_sat_refutation,[],[f365,f370,f424,f2185,f2722,f2730,f2736,f2744,f2766]) ).
fof(f2766,plain,
spl17_116,
inference(avatar_contradiction_clause,[],[f2765]) ).
fof(f2765,plain,
( $false
| spl17_116 ),
inference(subsumption_resolution,[],[f2764,f218]) ).
fof(f218,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) )
& aSet0(xQ) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
& aSet0(xQ) ),
file('/export/starexec/sandbox/tmp/tmp.ymr094uHS2/Vampire---4.8_7160',m__2270) ).
fof(f2764,plain,
( ~ aSet0(xQ)
| spl17_116 ),
inference(subsumption_resolution,[],[f2763,f224]) ).
fof(f224,plain,
isFinite0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
( xk = sbrdtbr0(xQ)
& isFinite0(xQ)
& aSet0(xQ) ),
file('/export/starexec/sandbox/tmp/tmp.ymr094uHS2/Vampire---4.8_7160',m__2291) ).
fof(f2763,plain,
( ~ isFinite0(xQ)
| ~ aSet0(xQ)
| spl17_116 ),
inference(subsumption_resolution,[],[f2762,f227]) ).
fof(f227,plain,
aElementOf0(xy,xQ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,axiom,
( aElementOf0(xy,xQ)
& aElement0(xy) ),
file('/export/starexec/sandbox/tmp/tmp.ymr094uHS2/Vampire---4.8_7160',m__2304) ).
fof(f2762,plain,
( ~ aElementOf0(xy,xQ)
| ~ isFinite0(xQ)
| ~ aSet0(xQ)
| spl17_116 ),
inference(subsumption_resolution,[],[f2760,f221]) ).
fof(f221,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f81]) ).
fof(f2760,plain,
( xk != sbrdtbr0(xQ)
| ~ aElementOf0(xy,xQ)
| ~ isFinite0(xQ)
| ~ aSet0(xQ)
| spl17_116 ),
inference(superposition,[],[f2174,f279]) ).
fof(f279,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aElementOf0(X1,X0)
& isFinite0(X0) )
=> sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) ) ),
file('/export/starexec/sandbox/tmp/tmp.ymr094uHS2/Vampire---4.8_7160',mCardDiff) ).
fof(f2174,plain,
( xk != szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| spl17_116 ),
inference(avatar_component_clause,[],[f2173]) ).
fof(f2173,plain,
( spl17_116
<=> xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_116])]) ).
fof(f2744,plain,
( spl17_4
| ~ spl17_1
| ~ spl17_115
| ~ spl17_116 ),
inference(avatar_split_clause,[],[f2743,f2173,f2169,f344,f357]) ).
fof(f357,plain,
( spl17_4
<=> xk = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f344,plain,
( spl17_1
<=> aElement0(xx) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f2169,plain,
( spl17_115
<=> isFinite0(sdtmndt0(xQ,xy)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_115])]) ).
fof(f2743,plain,
( xk = sF16
| ~ spl17_1
| ~ spl17_115
| ~ spl17_116 ),
inference(forward_demodulation,[],[f2742,f2175]) ).
fof(f2175,plain,
( xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ spl17_116 ),
inference(avatar_component_clause,[],[f2173]) ).
fof(f2742,plain,
( sF16 = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ spl17_1
| ~ spl17_115 ),
inference(subsumption_resolution,[],[f2166,f2170]) ).
fof(f2170,plain,
( isFinite0(sdtmndt0(xQ,xy))
| ~ spl17_115 ),
inference(avatar_component_clause,[],[f2169]) ).
fof(f2166,plain,
( sF16 = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ spl17_1 ),
inference(forward_demodulation,[],[f1759,f339]) ).
fof(f339,plain,
sbrdtbr0(xP) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f1759,plain,
( sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ spl17_1 ),
inference(subsumption_resolution,[],[f1758,f230]) ).
fof(f230,plain,
aSet0(sdtmndt0(xQ,xy)),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( xx != X0
& ~ aElementOf0(X0,sdtmndt0(xQ,xy)) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP)
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(xQ,xy))
| xy = X1
| ~ aElementOf0(X1,xQ)
| ~ aElement0(X1) )
& ( ( xy != X1
& aElementOf0(X1,xQ)
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( xx != X0
& ~ aElementOf0(X0,sdtmndt0(xQ,xy)) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP)
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(xQ,xy))
| xy = X1
| ~ aElementOf0(X1,xQ)
| ~ aElement0(X1) )
& ( ( xy != X1
& aElementOf0(X1,xQ)
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) ) )
& aSet0(xP)
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xQ,xy))
<=> ( xy != X1
& aElementOf0(X1,xQ)
& aElement0(X1) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
inference(rectify,[],[f70]) ).
fof(f70,axiom,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) ) )
& aSet0(xP)
& ! [X0] :
( aElementOf0(X0,sdtmndt0(xQ,xy))
<=> ( xy != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
file('/export/starexec/sandbox/tmp/tmp.ymr094uHS2/Vampire---4.8_7160',m__2357) ).
fof(f1758,plain,
( sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ spl17_1 ),
inference(subsumption_resolution,[],[f1757,f345]) ).
fof(f345,plain,
( aElement0(xx)
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f1757,plain,
( sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ aElement0(xx)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(subsumption_resolution,[],[f1735,f241]) ).
fof(f241,plain,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xQ,xy))
| xy = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
& ( ( xy != X0
& aElementOf0(X0,xQ)
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy))
& ~ aElementOf0(xx,sdtmndt0(xQ,xy)) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xQ,xy))
| xy = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
& ( ( xy != X0
& aElementOf0(X0,xQ)
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy))
& ~ aElementOf0(xx,sdtmndt0(xQ,xy)) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,axiom,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(xQ,xy))
<=> ( xy != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xQ,xy))
& ~ aElementOf0(xx,sdtmndt0(xQ,xy)) ),
file('/export/starexec/sandbox/tmp/tmp.ymr094uHS2/Vampire---4.8_7160',m__2411) ).
fof(f1735,plain,
( sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(superposition,[],[f280,f240]) ).
fof(f240,plain,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
inference(cnf_transformation,[],[f148]) ).
fof(f280,plain,
! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ( isFinite0(X0)
& aSet0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ( ~ aElementOf0(X1,X0)
=> sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ymr094uHS2/Vampire---4.8_7160',mCardCons) ).
fof(f2736,plain,
( spl17_5
| ~ spl17_152 ),
inference(avatar_contradiction_clause,[],[f2735]) ).
fof(f2735,plain,
( $false
| spl17_5
| ~ spl17_152 ),
inference(subsumption_resolution,[],[f2734,f217]) ).
fof(f217,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/tmp/tmp.ymr094uHS2/Vampire---4.8_7160',m__2256) ).
fof(f2734,plain,
( ~ aElementOf0(xx,xS)
| spl17_5
| ~ spl17_152 ),
inference(superposition,[],[f364,f2721]) ).
fof(f2721,plain,
( xx = sK8
| ~ spl17_152 ),
inference(avatar_component_clause,[],[f2719]) ).
fof(f2719,plain,
( spl17_152
<=> xx = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_152])]) ).
fof(f364,plain,
( ~ aElementOf0(sK8,xS)
| spl17_5 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f362,plain,
( spl17_5
<=> aElementOf0(sK8,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f2730,plain,
( spl17_5
| ~ spl17_151 ),
inference(avatar_contradiction_clause,[],[f2729]) ).
fof(f2729,plain,
( $false
| spl17_5
| ~ spl17_151 ),
inference(subsumption_resolution,[],[f2727,f364]) ).
fof(f2727,plain,
( aElementOf0(sK8,xS)
| ~ spl17_151 ),
inference(resolution,[],[f2717,f219]) ).
fof(f219,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f81]) ).
fof(f2717,plain,
( aElementOf0(sK8,xQ)
| ~ spl17_151 ),
inference(avatar_component_clause,[],[f2715]) ).
fof(f2715,plain,
( spl17_151
<=> aElementOf0(sK8,xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_151])]) ).
fof(f2722,plain,
( spl17_151
| spl17_152
| ~ spl17_6 ),
inference(avatar_split_clause,[],[f2706,f367,f2719,f2715]) ).
fof(f367,plain,
( spl17_6
<=> aElementOf0(sK8,xP) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f2706,plain,
( xx = sK8
| aElementOf0(sK8,xQ)
| ~ spl17_6 ),
inference(resolution,[],[f735,f369]) ).
fof(f369,plain,
( aElementOf0(sK8,xP)
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f735,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| xx = X0
| aElementOf0(X0,xQ) ),
inference(resolution,[],[f237,f232]) ).
fof(f232,plain,
! [X1] :
( ~ aElementOf0(X1,sdtmndt0(xQ,xy))
| aElementOf0(X1,xQ) ),
inference(cnf_transformation,[],[f148]) ).
fof(f237,plain,
! [X0] :
( aElementOf0(X0,sdtmndt0(xQ,xy))
| xx = X0
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f148]) ).
fof(f2185,plain,
spl17_115,
inference(avatar_contradiction_clause,[],[f2184]) ).
fof(f2184,plain,
( $false
| spl17_115 ),
inference(subsumption_resolution,[],[f2183,f226]) ).
fof(f226,plain,
aElement0(xy),
inference(cnf_transformation,[],[f67]) ).
fof(f2183,plain,
( ~ aElement0(xy)
| spl17_115 ),
inference(subsumption_resolution,[],[f2182,f218]) ).
fof(f2182,plain,
( ~ aSet0(xQ)
| ~ aElement0(xy)
| spl17_115 ),
inference(subsumption_resolution,[],[f2180,f224]) ).
fof(f2180,plain,
( ~ isFinite0(xQ)
| ~ aSet0(xQ)
| ~ aElement0(xy)
| spl17_115 ),
inference(resolution,[],[f2171,f292]) ).
fof(f292,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.ymr094uHS2/Vampire---4.8_7160',mFDiffSet) ).
fof(f2171,plain,
( ~ isFinite0(sdtmndt0(xQ,xy))
| spl17_115 ),
inference(avatar_component_clause,[],[f2169]) ).
fof(f424,plain,
spl17_1,
inference(avatar_split_clause,[],[f423,f344]) ).
fof(f423,plain,
aElement0(xx),
inference(subsumption_resolution,[],[f405,f187]) ).
fof(f187,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( sz00 != xk
& aSet0(xT)
& aSet0(xS) ),
file('/export/starexec/sandbox/tmp/tmp.ymr094uHS2/Vampire---4.8_7160',m__2202_02) ).
fof(f405,plain,
( aElement0(xx)
| ~ aSet0(xS) ),
inference(resolution,[],[f321,f217]) ).
fof(f321,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.ymr094uHS2/Vampire---4.8_7160',mEOfElem) ).
fof(f370,plain,
( spl17_6
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f342,f357,f367]) ).
fof(f342,plain,
( xk != sF16
| aElementOf0(sK8,xP) ),
inference(definition_folding,[],[f247,f339]) ).
fof(f247,plain,
( xk != sbrdtbr0(xP)
| aElementOf0(sK8,xP) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( xk != sbrdtbr0(xP)
| ( ~ aSubsetOf0(xP,xS)
& ~ aElementOf0(sK8,xS)
& aElementOf0(sK8,xP) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f82,f151]) ).
fof(f151,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xP) )
=> ( ~ aElementOf0(sK8,xS)
& aElementOf0(sK8,xP) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
( xk != sbrdtbr0(xP)
| ( ~ aSubsetOf0(xP,xS)
& ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xP) ) ) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,negated_conjecture,
~ ( xk = sbrdtbr0(xP)
& ( aSubsetOf0(xP,xS)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) ) ) ),
inference(negated_conjecture,[],[f72]) ).
fof(f72,conjecture,
( xk = sbrdtbr0(xP)
& ( aSubsetOf0(xP,xS)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ymr094uHS2/Vampire---4.8_7160',m__) ).
fof(f365,plain,
( ~ spl17_5
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f341,f357,f362]) ).
fof(f341,plain,
( xk != sF16
| ~ aElementOf0(sK8,xS) ),
inference(definition_folding,[],[f248,f339]) ).
fof(f248,plain,
( xk != sbrdtbr0(xP)
| ~ aElementOf0(sK8,xS) ),
inference(cnf_transformation,[],[f152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM556+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.34 % Computer : n010.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Fri May 3 14:46:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.ymr094uHS2/Vampire---4.8_7160
% 0.54/0.72 % (7274)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.54/0.72 % (7268)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.72 % (7270)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.72 % (7271)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.72 % (7269)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.54/0.72 % (7273)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.72 % (7275)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.54/0.73 % (7272)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.54/0.74 % (7271)Instruction limit reached!
% 0.54/0.74 % (7271)------------------------------
% 0.54/0.74 % (7271)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (7271)Termination reason: Unknown
% 0.54/0.74 % (7271)Termination phase: Saturation
% 0.54/0.74
% 0.54/0.74 % (7271)Memory used [KB]: 1707
% 0.54/0.74 % (7271)Time elapsed: 0.021 s
% 0.54/0.74 % (7271)Instructions burned: 34 (million)
% 0.54/0.74 % (7271)------------------------------
% 0.54/0.74 % (7271)------------------------------
% 0.54/0.74 % (7268)Instruction limit reached!
% 0.54/0.74 % (7268)------------------------------
% 0.54/0.74 % (7268)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (7268)Termination reason: Unknown
% 0.54/0.74 % (7268)Termination phase: Saturation
% 0.54/0.74
% 0.54/0.74 % (7268)Memory used [KB]: 1523
% 0.54/0.74 % (7268)Time elapsed: 0.022 s
% 0.54/0.74 % (7268)Instructions burned: 34 (million)
% 0.54/0.74 % (7268)------------------------------
% 0.54/0.74 % (7268)------------------------------
% 0.54/0.75 % (7277)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.54/0.75 % (7276)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.54/0.75 % (7274)Instruction limit reached!
% 0.54/0.75 % (7274)------------------------------
% 0.54/0.75 % (7274)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (7274)Termination reason: Unknown
% 0.54/0.75 % (7274)Termination phase: Saturation
% 0.54/0.75
% 0.54/0.75 % (7274)Memory used [KB]: 2413
% 0.54/0.75 % (7274)Time elapsed: 0.029 s
% 0.54/0.75 % (7274)Instructions burned: 83 (million)
% 0.54/0.75 % (7274)------------------------------
% 0.54/0.75 % (7274)------------------------------
% 0.54/0.75 % (7273)Instruction limit reached!
% 0.54/0.75 % (7273)------------------------------
% 0.54/0.75 % (7273)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (7273)Termination reason: Unknown
% 0.54/0.75 % (7273)Termination phase: Saturation
% 0.54/0.75
% 0.54/0.75 % (7273)Memory used [KB]: 1638
% 0.54/0.75 % (7273)Time elapsed: 0.029 s
% 0.54/0.75 % (7273)Instructions burned: 45 (million)
% 0.54/0.75 % (7273)------------------------------
% 0.54/0.75 % (7273)------------------------------
% 0.68/0.75 % (7278)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.68/0.75 % (7272)Instruction limit reached!
% 0.68/0.75 % (7272)------------------------------
% 0.68/0.75 % (7272)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.75 % (7272)Termination reason: Unknown
% 0.68/0.75 % (7272)Termination phase: Saturation
% 0.68/0.75
% 0.68/0.75 % (7272)Memory used [KB]: 1724
% 0.68/0.75 % (7272)Time elapsed: 0.022 s
% 0.68/0.75 % (7272)Instructions burned: 35 (million)
% 0.68/0.75 % (7272)------------------------------
% 0.68/0.75 % (7272)------------------------------
% 0.68/0.75 % (7275)Instruction limit reached!
% 0.68/0.75 % (7275)------------------------------
% 0.68/0.75 % (7275)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.75 % (7275)Termination reason: Unknown
% 0.68/0.75 % (7275)Termination phase: Saturation
% 0.68/0.75
% 0.68/0.75 % (7275)Memory used [KB]: 1681
% 0.68/0.75 % (7279)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.68/0.75 % (7275)Time elapsed: 0.033 s
% 0.68/0.75 % (7275)Instructions burned: 56 (million)
% 0.68/0.75 % (7275)------------------------------
% 0.68/0.75 % (7275)------------------------------
% 0.68/0.76 % (7280)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.68/0.76 % (7281)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.74/0.77 % (7277)Instruction limit reached!
% 0.74/0.77 % (7277)------------------------------
% 0.74/0.77 % (7277)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.77 % (7277)Termination reason: Unknown
% 0.74/0.77 % (7277)Termination phase: Saturation
% 0.74/0.77
% 0.74/0.77 % (7277)Memory used [KB]: 1744
% 0.74/0.77 % (7277)Time elapsed: 0.046 s
% 0.74/0.77 % (7277)Instructions burned: 50 (million)
% 0.74/0.77 % (7277)------------------------------
% 0.74/0.77 % (7277)------------------------------
% 0.74/0.77 % (7269)Instruction limit reached!
% 0.74/0.77 % (7269)------------------------------
% 0.74/0.77 % (7269)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.77 % (7269)Termination reason: Unknown
% 0.74/0.77 % (7269)Termination phase: Saturation
% 0.74/0.77
% 0.74/0.77 % (7269)Memory used [KB]: 1905
% 0.74/0.77 % (7269)Time elapsed: 0.036 s
% 0.74/0.77 % (7269)Instructions burned: 51 (million)
% 0.74/0.77 % (7269)------------------------------
% 0.74/0.77 % (7269)------------------------------
% 0.74/0.77 % (7282)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.74/0.77 % (7270)Instruction limit reached!
% 0.74/0.77 % (7270)------------------------------
% 0.74/0.77 % (7270)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.77 % (7270)Termination reason: Unknown
% 0.74/0.77 % (7270)Termination phase: Saturation
% 0.74/0.77
% 0.74/0.77 % (7270)Memory used [KB]: 2001
% 0.74/0.77 % (7270)Time elapsed: 0.051 s
% 0.74/0.77 % (7270)Instructions burned: 79 (million)
% 0.74/0.77 % (7270)------------------------------
% 0.74/0.77 % (7270)------------------------------
% 0.74/0.77 % (7283)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.74/0.78 % (7284)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.74/0.78 % (7276)Instruction limit reached!
% 0.74/0.78 % (7276)------------------------------
% 0.74/0.78 % (7276)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.78 % (7276)Termination reason: Unknown
% 0.74/0.78 % (7276)Termination phase: Saturation
% 0.74/0.78
% 0.74/0.78 % (7276)Memory used [KB]: 2045
% 0.74/0.78 % (7276)Time elapsed: 0.055 s
% 0.74/0.78 % (7276)Instructions burned: 56 (million)
% 0.74/0.78 % (7276)------------------------------
% 0.74/0.78 % (7276)------------------------------
% 0.74/0.78 % (7285)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.74/0.78 % (7281)Instruction limit reached!
% 0.74/0.78 % (7281)------------------------------
% 0.74/0.78 % (7281)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.78 % (7281)Termination reason: Unknown
% 0.74/0.78 % (7281)Termination phase: Saturation
% 0.74/0.78
% 0.74/0.78 % (7281)Memory used [KB]: 1697
% 0.74/0.78 % (7281)Time elapsed: 0.027 s
% 0.74/0.78 % (7281)Instructions burned: 43 (million)
% 0.74/0.78 % (7281)------------------------------
% 0.74/0.78 % (7281)------------------------------
% 0.74/0.79 % (7278)First to succeed.
% 0.74/0.79 % (7279)Instruction limit reached!
% 0.74/0.79 % (7279)------------------------------
% 0.74/0.79 % (7279)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.79 % (7278)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7267"
% 0.74/0.79 % (7279)Termination reason: Unknown
% 0.74/0.79 % (7279)Termination phase: Saturation
% 0.74/0.79
% 0.74/0.79 % (7279)Memory used [KB]: 1913
% 0.74/0.79 % (7279)Time elapsed: 0.034 s
% 0.74/0.79 % (7279)Instructions burned: 53 (million)
% 0.74/0.79 % (7279)------------------------------
% 0.74/0.79 % (7279)------------------------------
% 0.74/0.79 % (7278)Refutation found. Thanks to Tanya!
% 0.74/0.79 % SZS status Theorem for Vampire---4
% 0.74/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.74/0.79 % (7278)------------------------------
% 0.74/0.79 % (7278)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.79 % (7278)Termination reason: Refutation
% 0.74/0.79
% 0.74/0.79 % (7278)Memory used [KB]: 1920
% 0.74/0.79 % (7278)Time elapsed: 0.060 s
% 0.74/0.79 % (7278)Instructions burned: 103 (million)
% 0.74/0.79 % (7267)Success in time 0.432 s
% 0.74/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------