TSTP Solution File: COM019+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : COM019+1 : TPTP v8.2.0. 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 : n009.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 : Mon May 20 19:10:02 EDT 2024
% Result : Theorem 0.88s 0.83s
% Output : Refutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 21
% Syntax : Number of formulae : 150 ( 26 unt; 0 def)
% Number of atoms : 724 ( 34 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 1014 ( 440 ~; 443 |; 100 &)
% ( 15 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 4 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 250 ( 228 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1709,plain,
$false,
inference(avatar_sat_refutation,[],[f387,f1353,f1652,f1708]) ).
fof(f1708,plain,
~ spl12_42,
inference(avatar_contradiction_clause,[],[f1707]) ).
fof(f1707,plain,
( $false
| ~ spl12_42 ),
inference(subsumption_resolution,[],[f1706,f80]) ).
fof(f80,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
fof(f1706,plain,
( ~ aRewritingSystem0(xR)
| ~ spl12_42 ),
inference(subsumption_resolution,[],[f1705,f84]) ).
fof(f84,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( aElement0(xc)
& aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
fof(f1705,plain,
( ~ aElement0(xb)
| ~ aRewritingSystem0(xR)
| ~ spl12_42 ),
inference(resolution,[],[f1677,f136]) ).
fof(f136,plain,
! [X2,X1] :
( sdtmndtasgtdt0(X2,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1) ),
inference(duplicate_literal_removal,[],[f135]) ).
fof(f135,plain,
! [X2,X1] :
( sdtmndtasgtdt0(X2,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(equality_resolution,[],[f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X0,X1,X2)
| X0 != X2
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( ~ sdtmndtplgtdt0(X0,X1,X2)
& X0 != X2 ) )
& ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( ~ sdtmndtplgtdt0(X0,X1,X2)
& X0 != X2 ) )
& ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).
fof(f1677,plain,
( ~ sdtmndtasgtdt0(xb,xR,xb)
| ~ spl12_42 ),
inference(backward_demodulation,[],[f101,f1348]) ).
fof(f1348,plain,
( xb = xd
| ~ spl12_42 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f1346,plain,
( spl12_42
<=> xb = xd ),
introduced(avatar_definition,[new_symbols(naming,[spl12_42])]) ).
fof(f101,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(flattening,[],[f25]) ).
fof(f25,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(negated_conjecture,[],[f24]) ).
fof(f24,conjecture,
sdtmndtasgtdt0(xb,xR,xd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f1652,plain,
~ spl12_43,
inference(avatar_contradiction_clause,[],[f1651]) ).
fof(f1651,plain,
( $false
| ~ spl12_43 ),
inference(subsumption_resolution,[],[f1650,f84]) ).
fof(f1650,plain,
( ~ aElement0(xb)
| ~ spl12_43 ),
inference(subsumption_resolution,[],[f1649,f80]) ).
fof(f1649,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(xb)
| ~ spl12_43 ),
inference(subsumption_resolution,[],[f1648,f187]) ).
fof(f187,plain,
aElement0(xd),
inference(subsumption_resolution,[],[f186,f97]) ).
fof(f97,plain,
aElement0(xw),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
( sdtmndtasgtdt0(xv,xR,xw)
& sdtmndtasgtdt0(xu,xR,xw)
& aElement0(xw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).
fof(f186,plain,
( aElement0(xd)
| ~ aElement0(xw) ),
inference(subsumption_resolution,[],[f185,f80]) ).
fof(f185,plain,
( aElement0(xd)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xw) ),
inference(resolution,[],[f130,f100]) ).
fof(f100,plain,
aNormalFormOfIn0(xd,xw,xR),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
aNormalFormOfIn0(xd,xw,xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).
fof(f130,plain,
! [X2,X0,X1] :
( ~ aNormalFormOfIn0(X2,X0,X1)
| aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| aReductOfIn0(sK11(X1,X2),X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X4] : ~ aReductOfIn0(X4,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f77,f78]) ).
fof(f78,plain,
! [X1,X2] :
( ? [X3] : aReductOfIn0(X3,X2,X1)
=> aReductOfIn0(sK11(X1,X2),X2,X1) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X4] : ~ aReductOfIn0(X4,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( aRewritingSystem0(X1)
& aElement0(X0) )
=> ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ~ ? [X3] : aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNFRDef) ).
fof(f1648,plain,
( ~ aElement0(xd)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xb)
| ~ spl12_43 ),
inference(subsumption_resolution,[],[f1638,f101]) ).
fof(f1638,plain,
( sdtmndtasgtdt0(xb,xR,xd)
| ~ aElement0(xd)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xb)
| ~ spl12_43 ),
inference(resolution,[],[f1352,f123]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ sdtmndtplgtdt0(X0,X1,X2)
| sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f1352,plain,
( sdtmndtplgtdt0(xb,xR,xd)
| ~ spl12_43 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f1350,plain,
( spl12_43
<=> sdtmndtplgtdt0(xb,xR,xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_43])]) ).
fof(f1353,plain,
( spl12_42
| spl12_43
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f1344,f147,f1350,f1346]) ).
fof(f147,plain,
( spl12_2
<=> iLess0(xu,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f1344,plain,
( sdtmndtplgtdt0(xb,xR,xd)
| xb = xd
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f1343,f187]) ).
fof(f1343,plain,
( sdtmndtplgtdt0(xb,xR,xd)
| xb = xd
| ~ aElement0(xd)
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f1342,f93]) ).
fof(f93,plain,
sdtmndtasgtdt0(xu,xR,xb),
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
( sdtmndtasgtdt0(xu,xR,xb)
& aReductOfIn0(xu,xa,xR)
& aElement0(xu) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__755) ).
fof(f1342,plain,
( sdtmndtplgtdt0(xb,xR,xd)
| xb = xd
| ~ sdtmndtasgtdt0(xu,xR,xb)
| ~ aElement0(xd)
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f1341,f748]) ).
fof(f748,plain,
sdtmndtasgtdt0(xu,xR,xd),
inference(subsumption_resolution,[],[f743,f91]) ).
fof(f91,plain,
aElement0(xu),
inference(cnf_transformation,[],[f20]) ).
fof(f743,plain,
( sdtmndtasgtdt0(xu,xR,xd)
| ~ aElement0(xu) ),
inference(resolution,[],[f371,f98]) ).
fof(f98,plain,
sdtmndtasgtdt0(xu,xR,xw),
inference(cnf_transformation,[],[f22]) ).
fof(f371,plain,
! [X0] :
( ~ sdtmndtasgtdt0(X0,xR,xw)
| sdtmndtasgtdt0(X0,xR,xd)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f370,f80]) ).
fof(f370,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,xd)
| ~ sdtmndtasgtdt0(X0,xR,xw)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f369,f97]) ).
fof(f369,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,xd)
| ~ sdtmndtasgtdt0(X0,xR,xw)
| ~ aElement0(xw)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f342,f187]) ).
fof(f342,plain,
! [X0] :
( sdtmndtasgtdt0(X0,xR,xd)
| ~ sdtmndtasgtdt0(X0,xR,xw)
| ~ aElement0(xd)
| ~ aElement0(xw)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0) ),
inference(resolution,[],[f120,f197]) ).
fof(f197,plain,
sdtmndtasgtdt0(xw,xR,xd),
inference(subsumption_resolution,[],[f196,f97]) ).
fof(f196,plain,
( sdtmndtasgtdt0(xw,xR,xd)
| ~ aElement0(xw) ),
inference(subsumption_resolution,[],[f193,f80]) ).
fof(f193,plain,
( sdtmndtasgtdt0(xw,xR,xd)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xw) ),
inference(resolution,[],[f131,f100]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ aNormalFormOfIn0(X2,X0,X1)
| sdtmndtasgtdt0(X0,X1,X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f120,plain,
! [X2,X3,X0,X1] :
( ~ sdtmndtasgtdt0(X2,X1,X3)
| sdtmndtasgtdt0(X0,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( sdtmndtasgtdt0(X0,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( sdtmndtasgtdt0(X0,X1,X3)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( ( aElement0(X3)
& aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( ( sdtmndtasgtdt0(X2,X1,X3)
& sdtmndtasgtdt0(X0,X1,X2) )
=> sdtmndtasgtdt0(X0,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRTrans) ).
fof(f1341,plain,
( sdtmndtplgtdt0(xb,xR,xd)
| xb = xd
| ~ sdtmndtasgtdt0(xu,xR,xd)
| ~ sdtmndtasgtdt0(xu,xR,xb)
| ~ aElement0(xd)
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f1317,f84]) ).
fof(f1317,plain,
( sdtmndtplgtdt0(xb,xR,xd)
| ~ aElement0(xb)
| xb = xd
| ~ sdtmndtasgtdt0(xu,xR,xd)
| ~ sdtmndtasgtdt0(xu,xR,xb)
| ~ aElement0(xd)
| ~ spl12_2 ),
inference(superposition,[],[f840,f1279]) ).
fof(f1279,plain,
( xd = sK2(xb,xd)
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f1271,f84]) ).
fof(f1271,plain,
( xd = sK2(xb,xd)
| ~ aElement0(xb)
| ~ spl12_2 ),
inference(resolution,[],[f1152,f93]) ).
fof(f1152,plain,
( ! [X0] :
( ~ sdtmndtasgtdt0(xu,xR,X0)
| xd = sK2(X0,xd)
| ~ aElement0(X0) )
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f1151,f759]) ).
fof(f759,plain,
( ! [X0] :
( aElement0(sK2(X0,xd))
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0) )
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f758,f91]) ).
fof(f758,plain,
( ! [X0] :
( aElement0(sK2(X0,xd))
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(xu) )
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f757,f187]) ).
fof(f757,plain,
( ! [X0] :
( aElement0(sK2(X0,xd))
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(xd)
| ~ aElement0(X0)
| ~ aElement0(xu) )
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f752,f148]) ).
fof(f148,plain,
( iLess0(xu,xa)
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f752,plain,
! [X0] :
( ~ iLess0(xu,xa)
| aElement0(sK2(X0,xd))
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(xd)
| ~ aElement0(X0)
| ~ aElement0(xu) ),
inference(resolution,[],[f748,f86]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ iLess0(X0,xa)
| aElement0(sK2(X1,X2))
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X2,xR,sK2(X1,X2))
& sdtmndtasgtdt0(X1,xR,sK2(X1,X2))
& aElement0(sK2(X1,X2)) )
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f32,f54]) ).
fof(f54,plain,
! [X1,X2] :
( ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) )
=> ( sdtmndtasgtdt0(X2,xR,sK2(X1,X2))
& sdtmndtasgtdt0(X1,xR,sK2(X1,X2))
& aElement0(sK2(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) )
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) )
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,xR,X2)
& sdtmndtasgtdt0(X0,xR,X1)
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( iLess0(X0,xa)
=> ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X1,xR,X3)
& aElement0(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__715) ).
fof(f1151,plain,
( ! [X0] :
( xd = sK2(X0,xd)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(sK2(X0,xd)) )
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f1150,f748]) ).
fof(f1150,plain,
( ! [X0] :
( xd = sK2(X0,xd)
| ~ sdtmndtasgtdt0(xu,xR,xd)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(sK2(X0,xd)) )
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f1141,f187]) ).
fof(f1141,plain,
( ! [X0] :
( ~ aElement0(xd)
| xd = sK2(X0,xd)
| ~ sdtmndtasgtdt0(xu,xR,xd)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(sK2(X0,xd)) )
| ~ spl12_2 ),
inference(resolution,[],[f850,f554]) ).
fof(f554,plain,
! [X0] :
( ~ sdtmndtplgtdt0(xd,xR,X0)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f553,f187]) ).
fof(f553,plain,
! [X0] :
( ~ sdtmndtplgtdt0(xd,xR,X0)
| ~ aElement0(X0)
| ~ aElement0(xd) ),
inference(subsumption_resolution,[],[f552,f80]) ).
fof(f552,plain,
! [X0] :
( ~ sdtmndtplgtdt0(xd,xR,X0)
| ~ aElement0(X0)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xd) ),
inference(subsumption_resolution,[],[f549,f213]) ).
fof(f213,plain,
! [X0] : ~ aReductOfIn0(X0,xd,xR),
inference(subsumption_resolution,[],[f212,f97]) ).
fof(f212,plain,
! [X0] :
( ~ aReductOfIn0(X0,xd,xR)
| ~ aElement0(xw) ),
inference(subsumption_resolution,[],[f209,f80]) ).
fof(f209,plain,
! [X0] :
( ~ aReductOfIn0(X0,xd,xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xw) ),
inference(resolution,[],[f132,f100]) ).
fof(f132,plain,
! [X2,X0,X1,X4] :
( ~ aNormalFormOfIn0(X2,X0,X1)
| ~ aReductOfIn0(X4,X2,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f549,plain,
! [X0] :
( aReductOfIn0(X0,xd,xR)
| ~ sdtmndtplgtdt0(xd,xR,X0)
| ~ aElement0(X0)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xd) ),
inference(resolution,[],[f126,f213]) ).
fof(f126,plain,
! [X2,X0,X1] :
( aReductOfIn0(sK10(X0,X1,X2),X0,X1)
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) ) )
& ( ( sdtmndtplgtdt0(sK10(X0,X1,X2),X1,X2)
& aReductOfIn0(sK10(X0,X1,X2),X0,X1)
& aElement0(sK10(X0,X1,X2)) )
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f72,f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ? [X4] :
( sdtmndtplgtdt0(X4,X1,X2)
& aReductOfIn0(X4,X0,X1)
& aElement0(X4) )
=> ( sdtmndtplgtdt0(sK10(X0,X1,X2),X1,X2)
& aReductOfIn0(sK10(X0,X1,X2),X0,X1)
& aElement0(sK10(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) ) )
& ( ? [X4] :
( sdtmndtplgtdt0(X4,X1,X2)
& aReductOfIn0(X4,X0,X1)
& aElement0(X4) )
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) ) )
& ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) ) )
& ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( sdtmndtplgtdt0(X0,X1,X2)
<=> ( ? [X3] :
( sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1)
& aElement0(X3) )
| aReductOfIn0(X2,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCDef) ).
fof(f850,plain,
( ! [X0,X1] :
( sdtmndtplgtdt0(X0,xR,sK2(X1,X0))
| ~ aElement0(X0)
| sK2(X1,X0) = X0
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1) )
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f845,f91]) ).
fof(f845,plain,
( ! [X0,X1] :
( sdtmndtplgtdt0(X0,xR,sK2(X1,X0))
| ~ aElement0(X0)
| sK2(X1,X0) = X0
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1)
| ~ aElement0(xu) )
| ~ spl12_2 ),
inference(resolution,[],[f271,f148]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ iLess0(X2,xa)
| sdtmndtplgtdt0(X0,xR,sK2(X1,X0))
| ~ aElement0(X0)
| sK2(X1,X0) = X0
| ~ sdtmndtasgtdt0(X2,xR,X0)
| ~ sdtmndtasgtdt0(X2,xR,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(subsumption_resolution,[],[f270,f86]) ).
fof(f270,plain,
! [X2,X0,X1] :
( sK2(X1,X0) = X0
| sdtmndtplgtdt0(X0,xR,sK2(X1,X0))
| ~ aElement0(sK2(X1,X0))
| ~ aElement0(X0)
| ~ iLess0(X2,xa)
| ~ sdtmndtasgtdt0(X2,xR,X0)
| ~ sdtmndtasgtdt0(X2,xR,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(subsumption_resolution,[],[f266,f80]) ).
fof(f266,plain,
! [X2,X0,X1] :
( sK2(X1,X0) = X0
| sdtmndtplgtdt0(X0,xR,sK2(X1,X0))
| ~ aElement0(sK2(X1,X0))
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0)
| ~ iLess0(X2,xa)
| ~ sdtmndtasgtdt0(X2,xR,X0)
| ~ sdtmndtasgtdt0(X2,xR,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(duplicate_literal_removal,[],[f257]) ).
fof(f257,plain,
! [X2,X0,X1] :
( sK2(X1,X0) = X0
| sdtmndtplgtdt0(X0,xR,sK2(X1,X0))
| ~ aElement0(sK2(X1,X0))
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0)
| ~ iLess0(X2,xa)
| ~ sdtmndtasgtdt0(X2,xR,X0)
| ~ sdtmndtasgtdt0(X2,xR,X1)
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(resolution,[],[f121,f88]) ).
fof(f88,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X2,xR,sK2(X1,X2))
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,X1,X2)
| X0 = X2
| sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f840,plain,
( ! [X0,X1] :
( sdtmndtplgtdt0(X0,xR,sK2(X0,X1))
| ~ aElement0(X0)
| sK2(X0,X1) = X0
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X1) )
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f835,f91]) ).
fof(f835,plain,
( ! [X0,X1] :
( sdtmndtplgtdt0(X0,xR,sK2(X0,X1))
| ~ aElement0(X0)
| sK2(X0,X1) = X0
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ sdtmndtasgtdt0(xu,xR,X0)
| ~ aElement0(X1)
| ~ aElement0(xu) )
| ~ spl12_2 ),
inference(resolution,[],[f269,f148]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ iLess0(X2,xa)
| sdtmndtplgtdt0(X0,xR,sK2(X0,X1))
| ~ aElement0(X0)
| sK2(X0,X1) = X0
| ~ sdtmndtasgtdt0(X2,xR,X1)
| ~ sdtmndtasgtdt0(X2,xR,X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(subsumption_resolution,[],[f268,f86]) ).
fof(f268,plain,
! [X2,X0,X1] :
( sK2(X0,X1) = X0
| sdtmndtplgtdt0(X0,xR,sK2(X0,X1))
| ~ aElement0(sK2(X0,X1))
| ~ aElement0(X0)
| ~ iLess0(X2,xa)
| ~ sdtmndtasgtdt0(X2,xR,X1)
| ~ sdtmndtasgtdt0(X2,xR,X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(subsumption_resolution,[],[f267,f80]) ).
fof(f267,plain,
! [X2,X0,X1] :
( sK2(X0,X1) = X0
| sdtmndtplgtdt0(X0,xR,sK2(X0,X1))
| ~ aElement0(sK2(X0,X1))
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0)
| ~ iLess0(X2,xa)
| ~ sdtmndtasgtdt0(X2,xR,X1)
| ~ sdtmndtasgtdt0(X2,xR,X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(duplicate_literal_removal,[],[f256]) ).
fof(f256,plain,
! [X2,X0,X1] :
( sK2(X0,X1) = X0
| sdtmndtplgtdt0(X0,xR,sK2(X0,X1))
| ~ aElement0(sK2(X0,X1))
| ~ aRewritingSystem0(xR)
| ~ aElement0(X0)
| ~ iLess0(X2,xa)
| ~ sdtmndtasgtdt0(X2,xR,X1)
| ~ sdtmndtasgtdt0(X2,xR,X0)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X2) ),
inference(resolution,[],[f121,f87]) ).
fof(f87,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X1,xR,sK2(X1,X2))
| ~ iLess0(X0,xa)
| ~ sdtmndtasgtdt0(X0,xR,X2)
| ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f387,plain,
spl12_2,
inference(avatar_split_clause,[],[f386,f147]) ).
fof(f386,plain,
iLess0(xu,xa),
inference(subsumption_resolution,[],[f385,f80]) ).
fof(f385,plain,
( iLess0(xu,xa)
| ~ aRewritingSystem0(xR) ),
inference(subsumption_resolution,[],[f384,f82]) ).
fof(f82,plain,
isTerminating0(xR),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( isTerminating0(xR)
& isLocallyConfluent0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656_01) ).
fof(f384,plain,
( iLess0(xu,xa)
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR) ),
inference(subsumption_resolution,[],[f383,f83]) ).
fof(f83,plain,
aElement0(xa),
inference(cnf_transformation,[],[f17]) ).
fof(f383,plain,
( iLess0(xu,xa)
| ~ aElement0(xa)
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR) ),
inference(subsumption_resolution,[],[f372,f91]) ).
fof(f372,plain,
( iLess0(xu,xa)
| ~ aElement0(xu)
| ~ aElement0(xa)
| ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR) ),
inference(resolution,[],[f241,f115]) ).
fof(f115,plain,
! [X3,X0,X4] :
( ~ sdtmndtplgtdt0(X3,X0,X4)
| iLess0(X4,X3)
| ~ aElement0(X4)
| ~ aElement0(X3)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ( ( isTerminating0(X0)
| ( ~ iLess0(sK9(X0),sK8(X0))
& sdtmndtplgtdt0(sK8(X0),X0,sK9(X0))
& aElement0(sK9(X0))
& aElement0(sK8(X0)) ) )
& ( ! [X3,X4] :
( iLess0(X4,X3)
| ~ sdtmndtplgtdt0(X3,X0,X4)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ isTerminating0(X0) ) )
| ~ aRewritingSystem0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f65,f66]) ).
fof(f66,plain,
! [X0] :
( ? [X1,X2] :
( ~ iLess0(X2,X1)
& sdtmndtplgtdt0(X1,X0,X2)
& aElement0(X2)
& aElement0(X1) )
=> ( ~ iLess0(sK9(X0),sK8(X0))
& sdtmndtplgtdt0(sK8(X0),X0,sK9(X0))
& aElement0(sK9(X0))
& aElement0(sK8(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0] :
( ( ( isTerminating0(X0)
| ? [X1,X2] :
( ~ iLess0(X2,X1)
& sdtmndtplgtdt0(X1,X0,X2)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X3,X4] :
( iLess0(X4,X3)
| ~ sdtmndtplgtdt0(X3,X0,X4)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ isTerminating0(X0) ) )
| ~ aRewritingSystem0(X0) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ( ( isTerminating0(X0)
| ? [X1,X2] :
( ~ iLess0(X2,X1)
& sdtmndtplgtdt0(X1,X0,X2)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ isTerminating0(X0) ) )
| ~ aRewritingSystem0(X0) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ( isTerminating0(X0)
<=> ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ) )
| ~ aRewritingSystem0(X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ( isTerminating0(X0)
<=> ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ) )
| ~ aRewritingSystem0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aRewritingSystem0(X0)
=> ( isTerminating0(X0)
<=> ! [X1,X2] :
( ( aElement0(X2)
& aElement0(X1) )
=> ( sdtmndtplgtdt0(X1,X0,X2)
=> iLess0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTermin) ).
fof(f241,plain,
sdtmndtplgtdt0(xa,xR,xu),
inference(subsumption_resolution,[],[f240,f83]) ).
fof(f240,plain,
( sdtmndtplgtdt0(xa,xR,xu)
| ~ aElement0(xa) ),
inference(subsumption_resolution,[],[f238,f80]) ).
fof(f238,plain,
( sdtmndtplgtdt0(xa,xR,xu)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xa) ),
inference(resolution,[],[f226,f92]) ).
fof(f92,plain,
aReductOfIn0(xu,xa,xR),
inference(cnf_transformation,[],[f20]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ aReductOfIn0(X2,X0,X1)
| sdtmndtplgtdt0(X0,X1,X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f128,f134]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ aReductOfIn0(X2,X0,X1)
| aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ! [X2] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ! [X2] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ( aRewritingSystem0(X1)
& aElement0(X0) )
=> ! [X2] :
( aReductOfIn0(X2,X0,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mReduct) ).
fof(f128,plain,
! [X2,X0,X1] :
( sdtmndtplgtdt0(X0,X1,X2)
| ~ aReductOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COM019+1 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13 % 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
% 0.13/0.34 % Computer : n009.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 : Sun May 19 10:36:22 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.34 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/benchmark/theBenchmark.p
% 0.56/0.72 % (22270)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 theBenchmark for (2996ds/83Mi)
% 0.56/0.72 % (22271)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.72 % (22264)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.72 % (22265)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 theBenchmark for (2996ds/51Mi)
% 0.56/0.72 % (22269)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.72 % (22268)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.73 % (22266)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.73 % (22267)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.74 % (22264)Instruction limit reached!
% 0.56/0.74 % (22264)------------------------------
% 0.56/0.74 % (22264)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (22264)Termination reason: Unknown
% 0.56/0.74 % (22264)Termination phase: Saturation
% 0.56/0.74
% 0.56/0.74 % (22264)Memory used [KB]: 1292
% 0.56/0.74 % (22264)Time elapsed: 0.020 s
% 0.56/0.74 % (22264)Instructions burned: 34 (million)
% 0.56/0.74 % (22264)------------------------------
% 0.56/0.74 % (22264)------------------------------
% 0.56/0.75 % (22269)Instruction limit reached!
% 0.56/0.75 % (22269)------------------------------
% 0.56/0.75 % (22269)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (22268)Instruction limit reached!
% 0.56/0.75 % (22268)------------------------------
% 0.56/0.75 % (22268)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (22268)Termination reason: Unknown
% 0.56/0.75 % (22268)Termination phase: Saturation
% 0.56/0.75
% 0.56/0.75 % (22268)Memory used [KB]: 1530
% 0.56/0.75 % (22268)Time elapsed: 0.021 s
% 0.56/0.75 % (22268)Instructions burned: 34 (million)
% 0.56/0.75 % (22268)------------------------------
% 0.56/0.75 % (22268)------------------------------
% 0.56/0.75 % (22269)Termination reason: Unknown
% 0.56/0.75 % (22269)Termination phase: Saturation
% 0.56/0.75
% 0.56/0.75 % (22269)Memory used [KB]: 1475
% 0.56/0.75 % (22269)Time elapsed: 0.024 s
% 0.56/0.75 % (22269)Instructions burned: 46 (million)
% 0.56/0.75 % (22269)------------------------------
% 0.56/0.75 % (22269)------------------------------
% 0.56/0.75 % (22272)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 theBenchmark for (2996ds/55Mi)
% 0.56/0.75 % (22271)Instruction limit reached!
% 0.56/0.75 % (22271)------------------------------
% 0.56/0.75 % (22271)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (22270)Instruction limit reached!
% 0.56/0.75 % (22270)------------------------------
% 0.56/0.75 % (22270)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (22270)Termination reason: Unknown
% 0.56/0.75 % (22270)Termination phase: Saturation
% 0.56/0.75
% 0.56/0.75 % (22270)Memory used [KB]: 2052
% 0.56/0.75 % (22270)Time elapsed: 0.027 s
% 0.56/0.75 % (22270)Instructions burned: 83 (million)
% 0.56/0.75 % (22270)------------------------------
% 0.56/0.75 % (22270)------------------------------
% 0.56/0.75 % (22271)Termination reason: Unknown
% 0.56/0.75 % (22271)Termination phase: Saturation
% 0.56/0.75
% 0.56/0.75 % (22271)Memory used [KB]: 1361
% 0.56/0.75 % (22271)Time elapsed: 0.027 s
% 0.56/0.75 % (22271)Instructions burned: 57 (million)
% 0.56/0.75 % (22271)------------------------------
% 0.56/0.75 % (22271)------------------------------
% 0.56/0.75 % (22267)Instruction limit reached!
% 0.56/0.75 % (22267)------------------------------
% 0.56/0.75 % (22267)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (22267)Termination reason: Unknown
% 0.56/0.75 % (22267)Termination phase: Saturation
% 0.56/0.75
% 0.56/0.75 % (22267)Memory used [KB]: 1349
% 0.56/0.75 % (22267)Time elapsed: 0.019 s
% 0.56/0.75 % (22267)Instructions burned: 33 (million)
% 0.56/0.75 % (22267)------------------------------
% 0.56/0.75 % (22267)------------------------------
% 0.56/0.75 % (22274)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.56/0.75 % (22273)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 theBenchmark for (2996ds/50Mi)
% 0.56/0.75 % (22276)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 theBenchmark for (2996ds/518Mi)
% 0.56/0.75 % (22265)Instruction limit reached!
% 0.56/0.75 % (22265)------------------------------
% 0.56/0.75 % (22265)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (22265)Termination reason: Unknown
% 0.56/0.75 % (22265)Termination phase: Saturation
% 0.56/0.75
% 0.56/0.75 % (22265)Memory used [KB]: 1426
% 0.56/0.75 % (22265)Time elapsed: 0.028 s
% 0.56/0.75 % (22265)Instructions burned: 51 (million)
% 0.56/0.75 % (22265)------------------------------
% 0.56/0.75 % (22265)------------------------------
% 0.56/0.75 % (22275)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 theBenchmark for (2996ds/52Mi)
% 0.56/0.76 % (22277)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 theBenchmark for (2996ds/42Mi)
% 0.56/0.76 % (22278)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 theBenchmark for (2995ds/243Mi)
% 0.56/0.77 % (22273)Instruction limit reached!
% 0.56/0.77 % (22273)------------------------------
% 0.56/0.77 % (22273)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (22273)Termination reason: Unknown
% 0.56/0.77 % (22273)Termination phase: Saturation
% 0.56/0.77
% 0.56/0.77 % (22273)Memory used [KB]: 1664
% 0.56/0.77 % (22273)Time elapsed: 0.016 s
% 0.56/0.77 % (22273)Instructions burned: 50 (million)
% 0.56/0.77 % (22273)------------------------------
% 0.56/0.77 % (22273)------------------------------
% 0.56/0.77 % (22279)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.56/0.77 % (22266)Instruction limit reached!
% 0.56/0.77 % (22266)------------------------------
% 0.56/0.77 % (22266)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (22266)Termination reason: Unknown
% 0.56/0.77 % (22266)Termination phase: Saturation
% 0.56/0.77
% 0.56/0.77 % (22266)Memory used [KB]: 1541
% 0.56/0.77 % (22266)Time elapsed: 0.040 s
% 0.56/0.77 % (22266)Instructions burned: 78 (million)
% 0.56/0.77 % (22266)------------------------------
% 0.56/0.77 % (22266)------------------------------
% 0.56/0.77 % (22280)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 theBenchmark for (2995ds/143Mi)
% 0.56/0.77 % (22272)Instruction limit reached!
% 0.56/0.77 % (22272)------------------------------
% 0.56/0.77 % (22272)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (22272)Termination reason: Unknown
% 0.56/0.77 % (22272)Termination phase: Saturation
% 0.56/0.77
% 0.56/0.77 % (22272)Memory used [KB]: 1656
% 0.56/0.77 % (22272)Time elapsed: 0.030 s
% 0.56/0.77 % (22272)Instructions burned: 57 (million)
% 0.56/0.77 % (22272)------------------------------
% 0.56/0.77 % (22272)------------------------------
% 0.56/0.78 % (22277)Instruction limit reached!
% 0.56/0.78 % (22277)------------------------------
% 0.56/0.78 % (22277)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78 % (22277)Termination reason: Unknown
% 0.56/0.78 % (22277)Termination phase: Saturation
% 0.56/0.78
% 0.56/0.78 % (22277)Memory used [KB]: 1415
% 0.56/0.78 % (22277)Time elapsed: 0.023 s
% 0.56/0.78 % (22277)Instructions burned: 43 (million)
% 0.56/0.78 % (22277)------------------------------
% 0.56/0.78 % (22277)------------------------------
% 0.56/0.78 % (22275)Instruction limit reached!
% 0.56/0.78 % (22275)------------------------------
% 0.56/0.78 % (22275)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78 % (22275)Termination reason: Unknown
% 0.56/0.78 % (22275)Termination phase: Saturation
% 0.56/0.78
% 0.56/0.78 % (22275)Memory used [KB]: 1414
% 0.56/0.78 % (22275)Time elapsed: 0.027 s
% 0.56/0.78 % (22275)Instructions burned: 52 (million)
% 0.56/0.78 % (22275)------------------------------
% 0.56/0.78 % (22275)------------------------------
% 0.56/0.78 % (22281)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 theBenchmark for (2995ds/93Mi)
% 0.88/0.78 % (22283)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.88/0.78 % (22282)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.88/0.80 % (22282)Instruction limit reached!
% 0.88/0.80 % (22282)------------------------------
% 0.88/0.80 % (22282)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.80 % (22282)Termination reason: Unknown
% 0.88/0.80 % (22282)Termination phase: Saturation
% 0.88/0.80
% 0.88/0.80 % (22282)Memory used [KB]: 1734
% 0.88/0.80 % (22282)Time elapsed: 0.024 s
% 0.88/0.80 % (22282)Instructions burned: 62 (million)
% 0.88/0.80 % (22282)------------------------------
% 0.88/0.80 % (22282)------------------------------
% 0.88/0.80 % (22279)Instruction limit reached!
% 0.88/0.80 % (22279)------------------------------
% 0.88/0.80 % (22279)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.80 % (22279)Termination reason: Unknown
% 0.88/0.80 % (22279)Termination phase: Saturation
% 0.88/0.80
% 0.88/0.80 % (22279)Memory used [KB]: 1997
% 0.88/0.80 % (22279)Time elapsed: 0.038 s
% 0.88/0.80 % (22279)Instructions burned: 117 (million)
% 0.88/0.80 % (22279)------------------------------
% 0.88/0.80 % (22279)------------------------------
% 0.88/0.81 % (22284)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.88/0.81 % (22283)Instruction limit reached!
% 0.88/0.81 % (22283)------------------------------
% 0.88/0.81 % (22283)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.81 % (22283)Termination reason: Unknown
% 0.88/0.81 % (22283)Termination phase: Saturation
% 0.88/0.81
% 0.88/0.81 % (22283)Memory used [KB]: 1501
% 0.88/0.81 % (22283)Time elapsed: 0.027 s
% 0.88/0.81 % (22283)Instructions burned: 32 (million)
% 0.88/0.81 % (22283)------------------------------
% 0.88/0.81 % (22283)------------------------------
% 0.88/0.81 % (22285)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2995ds/55Mi)
% 0.88/0.82 % (22286)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2995ds/53Mi)
% 0.88/0.82 % (22285)Instruction limit reached!
% 0.88/0.82 % (22285)------------------------------
% 0.88/0.82 % (22285)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.82 % (22285)Termination reason: Unknown
% 0.88/0.82 % (22285)Termination phase: Saturation
% 0.88/0.82
% 0.88/0.82 % (22285)Memory used [KB]: 1642
% 0.88/0.82 % (22285)Time elapsed: 0.018 s
% 0.88/0.82 % (22285)Instructions burned: 58 (million)
% 0.88/0.82 % (22285)------------------------------
% 0.88/0.82 % (22285)------------------------------
% 0.88/0.83 % (22281)Instruction limit reached!
% 0.88/0.83 % (22281)------------------------------
% 0.88/0.83 % (22281)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.83 % (22281)Termination reason: Unknown
% 0.88/0.83 % (22281)Termination phase: Saturation
% 0.88/0.83
% 0.88/0.83 % (22281)Memory used [KB]: 1563
% 0.88/0.83 % (22281)Time elapsed: 0.048 s
% 0.88/0.83 % (22281)Instructions burned: 94 (million)
% 0.88/0.83 % (22281)------------------------------
% 0.88/0.83 % (22281)------------------------------
% 0.88/0.83 % (22287)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2995ds/46Mi)
% 0.88/0.83 % (22284)First to succeed.
% 0.88/0.83 % (22288)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2995ds/102Mi)
% 0.88/0.83 % (22284)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22263"
% 0.88/0.83 % (22284)Refutation found. Thanks to Tanya!
% 0.88/0.83 % SZS status Theorem for theBenchmark
% 0.88/0.83 % SZS output start Proof for theBenchmark
% See solution above
% 0.88/0.83 % (22284)------------------------------
% 0.88/0.83 % (22284)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.88/0.83 % (22284)Termination reason: Refutation
% 0.88/0.83
% 0.88/0.83 % (22284)Memory used [KB]: 1694
% 0.88/0.83 % (22284)Time elapsed: 0.025 s
% 0.88/0.83 % (22284)Instructions burned: 81 (million)
% 0.88/0.83 % (22263)Success in time 0.473 s
% 0.88/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------