TSTP Solution File: NUM504+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM504+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 : 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 18:05:30 EDT 2022
% Result : Theorem 2.09s 0.66s
% Output : Refutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 95 ( 18 unt; 0 def)
% Number of atoms : 305 ( 67 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 348 ( 138 ~; 143 |; 40 &)
% ( 12 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 90 ( 84 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1555,plain,
$false,
inference(avatar_sat_refutation,[],[f308,f675,f1168,f1258,f1265,f1529]) ).
fof(f1529,plain,
( ~ spl4_9
| spl4_11
| spl4_50 ),
inference(avatar_contradiction_clause,[],[f1528]) ).
fof(f1528,plain,
( $false
| ~ spl4_9
| spl4_11
| spl4_50 ),
inference(subsumption_resolution,[],[f1518,f1264]) ).
fof(f1264,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| spl4_50 ),
inference(avatar_component_clause,[],[f1262]) ).
fof(f1262,plain,
( spl4_50
<=> sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_50])]) ).
fof(f1518,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ spl4_9
| spl4_11 ),
inference(backward_demodulation,[],[f243,f1517]) ).
fof(f1517,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| ~ spl4_9
| spl4_11 ),
inference(forward_demodulation,[],[f1516,f238]) ).
fof(f238,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
fof(f1516,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ spl4_9
| spl4_11 ),
inference(subsumption_resolution,[],[f1515,f184]) ).
fof(f184,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f1515,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(xp)
| ~ spl4_9
| spl4_11 ),
inference(subsumption_resolution,[],[f1514,f543]) ).
fof(f543,plain,
( sz00 != xp
| spl4_11 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f542,plain,
( spl4_11
<=> sz00 = xp ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f1514,plain,
( sz00 = xp
| ~ aNaturalNumber0(xp)
| sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ spl4_9 ),
inference(subsumption_resolution,[],[f1493,f499]) ).
fof(f499,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f498,plain,
( spl4_9
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f1493,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| sz00 = xp ),
inference(resolution,[],[f280,f197]) ).
fof(f197,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f280,plain,
! [X0,X1] :
( ~ doDivides0(X1,X0)
| sdtasdt0(X1,sdtsldt0(X0,X1)) = X0
| ~ aNaturalNumber0(X0)
| sz00 = X1
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f212]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X0)
| sdtasdt0(X1,X2) = X0
| sdtsldt0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X0)
| ! [X2] :
( ( sdtsldt0(X0,X1) = X2
| sdtasdt0(X1,X2) != X0
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
| sdtsldt0(X0,X1) != X2 ) ) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X0)
| ! [X2] :
( ( sdtsldt0(X0,X1) = X2
| sdtasdt0(X1,X2) != X0
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
| sdtsldt0(X0,X1) != X2 ) ) ),
inference(nnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| sz00 = X1
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X0)
| ! [X2] :
( sdtsldt0(X0,X1) = X2
<=> ( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) ) ) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X1,X0] :
( ! [X2] :
( sdtsldt0(X0,X1) = X2
<=> ( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) ) )
| sz00 = X1
| ~ doDivides0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sz00 != X1
& doDivides0(X1,X0) )
=> ! [X2] :
( sdtsldt0(X0,X1) = X2
<=> ( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) ) ) ) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( ( aNaturalNumber0(X2)
& sdtasdt0(X0,X2) = X1 )
<=> sdtsldt0(X1,X0) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f243,plain,
sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)),
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
( sdtasdt0(xn,xm) != sdtasdt0(xp,xm)
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& sdtasdt0(xp,xm) != sdtasdt0(xp,xk)
& sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2414) ).
fof(f1265,plain,
( ~ spl4_50
| ~ spl4_21
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f1260,f498,f595,f1262]) ).
fof(f595,plain,
( spl4_21
<=> aNaturalNumber0(sdtasdt0(xp,xm)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f1260,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ spl4_9 ),
inference(subsumption_resolution,[],[f1259,f499]) ).
fof(f1259,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(subsumption_resolution,[],[f1073,f246]) ).
fof(f246,plain,
sdtasdt0(xn,xm) != sdtasdt0(xp,xm),
inference(cnf_transformation,[],[f51]) ).
fof(f1073,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| sdtasdt0(xn,xm) = sdtasdt0(xp,xm)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(resolution,[],[f245,f273]) ).
fof(f273,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X1,X0] :
( ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X1,X0] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f245,plain,
sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
inference(cnf_transformation,[],[f51]) ).
fof(f1258,plain,
spl4_21,
inference(avatar_contradiction_clause,[],[f1257]) ).
fof(f1257,plain,
( $false
| spl4_21 ),
inference(subsumption_resolution,[],[f1256,f184]) ).
fof(f1256,plain,
( ~ aNaturalNumber0(xp)
| spl4_21 ),
inference(subsumption_resolution,[],[f1255,f186]) ).
fof(f186,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f1255,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| spl4_21 ),
inference(resolution,[],[f597,f263]) ).
fof(f263,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X1,X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtasdt0(X1,X0)) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X1,X0] :
( aNaturalNumber0(sdtasdt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X1,X0)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f597,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| spl4_21 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f1168,plain,
spl4_9,
inference(avatar_contradiction_clause,[],[f1167]) ).
fof(f1167,plain,
( $false
| spl4_9 ),
inference(subsumption_resolution,[],[f1166,f186]) ).
fof(f1166,plain,
( ~ aNaturalNumber0(xm)
| spl4_9 ),
inference(subsumption_resolution,[],[f1165,f185]) ).
fof(f185,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f1165,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl4_9 ),
inference(resolution,[],[f500,f263]) ).
fof(f500,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_9 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f675,plain,
( ~ spl4_4
| ~ spl4_11 ),
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f674,plain,
( $false
| ~ spl4_4
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f652,f382]) ).
fof(f382,plain,
( sdtlseqdt0(sz00,xn)
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f381,f305]) ).
fof(f305,plain,
( aNaturalNumber0(sz00)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f304,plain,
( spl4_4
<=> aNaturalNumber0(sz00) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f381,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(sz00) ),
inference(subsumption_resolution,[],[f369,f185]) ).
fof(f369,plain,
( sdtlseqdt0(sz00,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[],[f288,f313]) ).
fof(f313,plain,
xn = sdtpldt0(sz00,xn),
inference(resolution,[],[f209,f185]) ).
fof(f209,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& sdtpldt0(sz00,X0) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& sdtpldt0(sz00,X0) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f288,plain,
! [X3,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X3))
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X0) ),
inference(subsumption_resolution,[],[f274,f217]) ).
fof(f217,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X1,X0] :
( aNaturalNumber0(sdtpldt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X1,X0)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f274,plain,
! [X3,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X3))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X3))
| ~ aNaturalNumber0(X3) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X3)
| sdtpldt0(X0,X3) != X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ( ( ( aNaturalNumber0(sK0(X0,X1))
& sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ sdtlseqdt0(X0,X1) )
& ( sdtlseqdt0(X0,X1)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtpldt0(X0,X3) != X1 ) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f144,f145]) ).
fof(f145,plain,
! [X0,X1] :
( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
=> ( aNaturalNumber0(sK0(X0,X1))
& sdtpldt0(X0,sK0(X0,X1)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0,X1] :
( ( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| ~ sdtlseqdt0(X0,X1) )
& ( sdtlseqdt0(X0,X1)
| ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtpldt0(X0,X3) != X1 ) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| ~ sdtlseqdt0(X0,X1) )
& ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
<=> sdtlseqdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X1,X0] :
( ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
<=> sdtlseqdt0(X0,X1) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X1,X0] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
<=> sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(f652,plain,
( ~ sdtlseqdt0(sz00,xn)
| ~ spl4_11 ),
inference(backward_demodulation,[],[f262,f544]) ).
fof(f544,plain,
( sz00 = xp
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f262,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
fof(f308,plain,
spl4_4,
inference(avatar_split_clause,[],[f257,f304]) ).
fof(f257,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM504+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 06:57:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.49 % (15514)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)
% 0.21/0.49 % (15517)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)
% 0.21/0.51 % (15537)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 % (15529)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.51 % (15511)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)
% 0.21/0.51 % (15522)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)
% 0.21/0.52 % (15521)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (15540)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)
% 1.28/0.52 % (15532)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.28/0.52 % (15524)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.28/0.53 % (15515)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.53 % (15526)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)
% 1.28/0.53 % (15513)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)
% 1.28/0.53 % (15533)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)
% 1.28/0.53 % (15516)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)
% 1.28/0.53 % (15512)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)
% 1.28/0.53 % (15525)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)
% 1.28/0.53 TRYING [3]
% 1.28/0.54 % (15538)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)
% 1.28/0.54 % (15523)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.28/0.54 % (15512)Refutation not found, incomplete strategy% (15512)------------------------------
% 1.28/0.54 % (15512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.54 % (15530)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)
% 1.28/0.54 % (15512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.54 % (15512)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.54
% 1.28/0.54 % (15512)Memory used [KB]: 5628
% 1.28/0.54 % (15512)Time elapsed: 0.126 s
% 1.28/0.54 % (15512)Instructions burned: 11 (million)
% 1.28/0.54 % (15512)------------------------------
% 1.28/0.54 % (15512)------------------------------
% 1.28/0.54 % (15534)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)
% 1.45/0.54 TRYING [3]
% 1.45/0.54 % (15536)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.45/0.55 % (15528)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.45/0.55 % (15531)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)
% 1.45/0.55 % (15535)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.45/0.55 % (15539)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.45/0.55 % (15527)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)
% 1.45/0.55 % (15518)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.45/0.55 % (15518)Instruction limit reached!
% 1.45/0.55 % (15518)------------------------------
% 1.45/0.55 % (15518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (15518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (15518)Termination reason: Unknown
% 1.45/0.55 % (15518)Termination phase: Saturation
% 1.45/0.55
% 1.45/0.55 % (15518)Memory used [KB]: 5628
% 1.45/0.55 % (15518)Time elapsed: 0.148 s
% 1.45/0.55 % (15518)Instructions burned: 8 (million)
% 1.45/0.55 % (15518)------------------------------
% 1.45/0.55 % (15518)------------------------------
% 1.45/0.56 % (15519)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.45/0.56 % (15519)Instruction limit reached!
% 1.45/0.56 % (15519)------------------------------
% 1.45/0.56 % (15519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.56 % (15519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56 % (15519)Termination reason: Unknown
% 1.45/0.56 % (15519)Termination phase: Preprocessing 3
% 1.45/0.56
% 1.45/0.56 % (15519)Memory used [KB]: 1023
% 1.45/0.56 % (15519)Time elapsed: 0.002 s
% 1.45/0.56 % (15519)Instructions burned: 2 (million)
% 1.45/0.56 % (15519)------------------------------
% 1.45/0.56 % (15519)------------------------------
% 1.45/0.56 % (15520)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)
% 1.45/0.57 % (15517)Instruction limit reached!
% 1.45/0.57 % (15517)------------------------------
% 1.45/0.57 % (15517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.57 % (15517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.57 % (15517)Termination reason: Unknown
% 1.45/0.57 % (15517)Termination phase: Finite model building constraint generation
% 1.45/0.57
% 1.45/0.57 % (15517)Memory used [KB]: 7547
% 1.45/0.57 % (15517)Time elapsed: 0.144 s
% 1.45/0.57 % (15517)Instructions burned: 51 (million)
% 1.45/0.57 % (15517)------------------------------
% 1.45/0.57 % (15517)------------------------------
% 1.45/0.57 TRYING [3]
% 1.45/0.58 % (15514)Instruction limit reached!
% 1.45/0.58 % (15514)------------------------------
% 1.45/0.58 % (15514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.58 % (15514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.58 % (15514)Termination reason: Unknown
% 1.45/0.58 % (15514)Termination phase: Saturation
% 1.45/0.58
% 1.45/0.58 % (15514)Memory used [KB]: 6268
% 1.45/0.58 % (15514)Time elapsed: 0.181 s
% 1.45/0.58 % (15514)Instructions burned: 51 (million)
% 1.45/0.58 % (15514)------------------------------
% 1.45/0.58 % (15514)------------------------------
% 1.45/0.59 TRYING [4]
% 1.45/0.59 % (15513)Instruction limit reached!
% 1.45/0.59 % (15513)------------------------------
% 1.45/0.59 % (15513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.59 % (15513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.59 % (15513)Termination reason: Unknown
% 1.45/0.59 % (15513)Termination phase: Saturation
% 1.45/0.59
% 1.45/0.59 % (15513)Memory used [KB]: 1535
% 1.45/0.59 % (15513)Time elapsed: 0.175 s
% 1.45/0.59 % (15513)Instructions burned: 38 (million)
% 1.45/0.59 % (15513)------------------------------
% 1.45/0.59 % (15513)------------------------------
% 1.45/0.61 % (15521)Instruction limit reached!
% 1.45/0.61 % (15521)------------------------------
% 1.45/0.61 % (15521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.61 % (15521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.61 % (15521)Termination reason: Unknown
% 1.45/0.61 % (15521)Termination phase: Saturation
% 1.45/0.61
% 1.45/0.61 % (15521)Memory used [KB]: 6524
% 1.45/0.61 % (15521)Time elapsed: 0.198 s
% 1.45/0.61 % (15521)Instructions burned: 50 (million)
% 1.45/0.61 % (15521)------------------------------
% 1.45/0.61 % (15521)------------------------------
% 1.45/0.61 % (15515)Instruction limit reached!
% 1.45/0.61 % (15515)------------------------------
% 1.45/0.61 % (15515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.61 % (15515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.61 % (15515)Termination reason: Unknown
% 1.45/0.61 % (15515)Termination phase: Saturation
% 1.45/0.61
% 1.45/0.61 % (15515)Memory used [KB]: 6140
% 1.45/0.61 % (15515)Time elapsed: 0.202 s
% 1.45/0.61 % (15515)Instructions burned: 52 (million)
% 1.45/0.61 % (15515)------------------------------
% 1.45/0.61 % (15515)------------------------------
% 1.45/0.62 TRYING [4]
% 1.45/0.62 % (15528)Instruction limit reached!
% 1.45/0.62 % (15528)------------------------------
% 1.45/0.62 % (15528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.62 % (15528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.62 % (15528)Termination reason: Unknown
% 1.45/0.62 % (15528)Termination phase: Finite model building constraint generation
% 1.45/0.62
% 1.45/0.62 % (15528)Memory used [KB]: 8059
% 1.45/0.62 % (15528)Time elapsed: 0.205 s
% 1.45/0.62 % (15528)Instructions burned: 61 (million)
% 1.45/0.62 % (15528)------------------------------
% 1.45/0.62 % (15528)------------------------------
% 2.09/0.63 % (15537)Instruction limit reached!
% 2.09/0.63 % (15537)------------------------------
% 2.09/0.63 % (15537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63 % (15537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63 % (15537)Termination reason: Unknown
% 2.09/0.63 % (15537)Termination phase: Saturation
% 2.09/0.63
% 2.09/0.63 % (15537)Memory used [KB]: 6652
% 2.09/0.63 % (15537)Time elapsed: 0.037 s
% 2.09/0.63 % (15537)Instructions burned: 69 (million)
% 2.09/0.63 % (15537)------------------------------
% 2.09/0.63 % (15537)------------------------------
% 2.09/0.63 % (15535)First to succeed.
% 2.09/0.64 % (15516)Instruction limit reached!
% 2.09/0.64 % (15516)------------------------------
% 2.09/0.64 % (15516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64 % (15516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64 % (15516)Termination reason: Unknown
% 2.09/0.64 % (15516)Termination phase: Saturation
% 2.09/0.64
% 2.09/0.64 % (15516)Memory used [KB]: 6012
% 2.09/0.64 % (15516)Time elapsed: 0.225 s
% 2.09/0.64 % (15516)Instructions burned: 48 (million)
% 2.09/0.64 % (15516)------------------------------
% 2.09/0.64 % (15516)------------------------------
% 2.09/0.64 % (15520)Instruction limit reached!
% 2.09/0.64 % (15520)------------------------------
% 2.09/0.64 % (15520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64 % (15520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64 % (15520)Termination reason: Unknown
% 2.09/0.64 % (15520)Termination phase: Saturation
% 2.09/0.64
% 2.09/0.64 % (15520)Memory used [KB]: 1791
% 2.09/0.64 % (15520)Time elapsed: 0.230 s
% 2.09/0.64 % (15520)Instructions burned: 51 (million)
% 2.09/0.64 % (15520)------------------------------
% 2.09/0.64 % (15520)------------------------------
% 2.09/0.66 % (15535)Refutation found. Thanks to Tanya!
% 2.09/0.66 % SZS status Theorem for theBenchmark
% 2.09/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.09/0.66 % (15535)------------------------------
% 2.09/0.66 % (15535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.66 % (15535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.66 % (15535)Termination reason: Refutation
% 2.09/0.66
% 2.09/0.66 % (15535)Memory used [KB]: 6396
% 2.09/0.66 % (15535)Time elapsed: 0.209 s
% 2.09/0.66 % (15535)Instructions burned: 53 (million)
% 2.09/0.66 % (15535)------------------------------
% 2.09/0.66 % (15535)------------------------------
% 2.09/0.66 % (15510)Success in time 0.289 s
%------------------------------------------------------------------------------