TSTP Solution File: COM013+4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : COM013+4 : 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 : n023.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 19:09:59 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 64 ( 4 unt; 0 def)
% Number of atoms : 504 ( 28 equ)
% Maximal formula atoms : 46 ( 7 avg)
% Number of connectives : 670 ( 230 ~; 220 |; 187 &)
% ( 8 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 179 ( 129 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f200,plain,
$false,
inference(avatar_sat_refutation,[],[f113,f114,f199]) ).
fof(f199,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_contradiction_clause,[],[f198]) ).
fof(f198,plain,
( $false
| ~ spl8_1
| ~ spl8_2 ),
inference(subsumption_resolution,[],[f192,f140]) ).
fof(f140,plain,
( sdtmndtasgtdt0(sK1(sK0),xR,sK2(sK1(sK0)))
| ~ spl8_1
| ~ spl8_2 ),
inference(unit_resulting_resolution,[],[f117,f124,f73]) ).
fof(f73,plain,
! [X4] :
( sdtmndtasgtdt0(X4,xR,sK2(X4))
| ~ iLess0(X4,sK0)
| ~ aElement0(X4) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ! [X1] :
( ~ aNormalFormOfIn0(X1,sK0,xR)
& ( aReductOfIn0(sK1(X1),X1,xR)
| ( ~ sdtmndtasgtdt0(sK0,xR,X1)
& ~ sdtmndtplgtdt0(sK0,xR,X1)
& ! [X3] :
( ~ sdtmndtplgtdt0(X3,xR,X1)
| ~ aReductOfIn0(X3,sK0,xR)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X1,sK0,xR)
& sK0 != X1 )
| ~ aElement0(X1) ) )
& ! [X4] :
( ( aNormalFormOfIn0(sK2(X4),X4,xR)
& ! [X6] : ~ aReductOfIn0(X6,sK2(X4),xR)
& sdtmndtasgtdt0(X4,xR,sK2(X4))
& ( ( sdtmndtplgtdt0(X4,xR,sK2(X4))
& ( ( sdtmndtplgtdt0(sK3(X4),xR,sK2(X4))
& aReductOfIn0(sK3(X4),X4,xR)
& aElement0(sK3(X4)) )
| aReductOfIn0(sK2(X4),X4,xR) ) )
| sK2(X4) = X4 )
& aElement0(sK2(X4)) )
| ~ iLess0(X4,sK0)
| ~ aElement0(X4) )
& aElement0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f40,f44,f43,f42,f41]) ).
fof(f41,plain,
( ? [X0] :
( ! [X1] :
( ~ aNormalFormOfIn0(X1,X0,xR)
& ( ? [X2] : aReductOfIn0(X2,X1,xR)
| ( ~ sdtmndtasgtdt0(X0,xR,X1)
& ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X3] :
( ~ sdtmndtplgtdt0(X3,xR,X1)
| ~ aReductOfIn0(X3,X0,xR)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X1,X0,xR)
& X0 != X1 )
| ~ aElement0(X1) ) )
& ! [X4] :
( ? [X5] :
( aNormalFormOfIn0(X5,X4,xR)
& ! [X6] : ~ aReductOfIn0(X6,X5,xR)
& sdtmndtasgtdt0(X4,xR,X5)
& ( ( sdtmndtplgtdt0(X4,xR,X5)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,X4,xR)
& aElement0(X7) )
| aReductOfIn0(X5,X4,xR) ) )
| X4 = X5 )
& aElement0(X5) )
| ~ iLess0(X4,X0)
| ~ aElement0(X4) )
& aElement0(X0) )
=> ( ! [X1] :
( ~ aNormalFormOfIn0(X1,sK0,xR)
& ( ? [X2] : aReductOfIn0(X2,X1,xR)
| ( ~ sdtmndtasgtdt0(sK0,xR,X1)
& ~ sdtmndtplgtdt0(sK0,xR,X1)
& ! [X3] :
( ~ sdtmndtplgtdt0(X3,xR,X1)
| ~ aReductOfIn0(X3,sK0,xR)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X1,sK0,xR)
& sK0 != X1 )
| ~ aElement0(X1) ) )
& ! [X4] :
( ? [X5] :
( aNormalFormOfIn0(X5,X4,xR)
& ! [X6] : ~ aReductOfIn0(X6,X5,xR)
& sdtmndtasgtdt0(X4,xR,X5)
& ( ( sdtmndtplgtdt0(X4,xR,X5)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,X4,xR)
& aElement0(X7) )
| aReductOfIn0(X5,X4,xR) ) )
| X4 = X5 )
& aElement0(X5) )
| ~ iLess0(X4,sK0)
| ~ aElement0(X4) )
& aElement0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X1] :
( ? [X2] : aReductOfIn0(X2,X1,xR)
=> aReductOfIn0(sK1(X1),X1,xR) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X4] :
( ? [X5] :
( aNormalFormOfIn0(X5,X4,xR)
& ! [X6] : ~ aReductOfIn0(X6,X5,xR)
& sdtmndtasgtdt0(X4,xR,X5)
& ( ( sdtmndtplgtdt0(X4,xR,X5)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,X4,xR)
& aElement0(X7) )
| aReductOfIn0(X5,X4,xR) ) )
| X4 = X5 )
& aElement0(X5) )
=> ( aNormalFormOfIn0(sK2(X4),X4,xR)
& ! [X6] : ~ aReductOfIn0(X6,sK2(X4),xR)
& sdtmndtasgtdt0(X4,xR,sK2(X4))
& ( ( sdtmndtplgtdt0(X4,xR,sK2(X4))
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,sK2(X4))
& aReductOfIn0(X7,X4,xR)
& aElement0(X7) )
| aReductOfIn0(sK2(X4),X4,xR) ) )
| sK2(X4) = X4 )
& aElement0(sK2(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X4] :
( ? [X7] :
( sdtmndtplgtdt0(X7,xR,sK2(X4))
& aReductOfIn0(X7,X4,xR)
& aElement0(X7) )
=> ( sdtmndtplgtdt0(sK3(X4),xR,sK2(X4))
& aReductOfIn0(sK3(X4),X4,xR)
& aElement0(sK3(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
? [X0] :
( ! [X1] :
( ~ aNormalFormOfIn0(X1,X0,xR)
& ( ? [X2] : aReductOfIn0(X2,X1,xR)
| ( ~ sdtmndtasgtdt0(X0,xR,X1)
& ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X3] :
( ~ sdtmndtplgtdt0(X3,xR,X1)
| ~ aReductOfIn0(X3,X0,xR)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X1,X0,xR)
& X0 != X1 )
| ~ aElement0(X1) ) )
& ! [X4] :
( ? [X5] :
( aNormalFormOfIn0(X5,X4,xR)
& ! [X6] : ~ aReductOfIn0(X6,X5,xR)
& sdtmndtasgtdt0(X4,xR,X5)
& ( ( sdtmndtplgtdt0(X4,xR,X5)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,X4,xR)
& aElement0(X7) )
| aReductOfIn0(X5,X4,xR) ) )
| X4 = X5 )
& aElement0(X5) )
| ~ iLess0(X4,X0)
| ~ aElement0(X4) )
& aElement0(X0) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
? [X0] :
( ! [X5] :
( ~ aNormalFormOfIn0(X5,X0,xR)
& ( ? [X6] : aReductOfIn0(X6,X5,xR)
| ( ~ sdtmndtasgtdt0(X0,xR,X5)
& ~ sdtmndtplgtdt0(X0,xR,X5)
& ! [X7] :
( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ aReductOfIn0(X7,X0,xR)
| ~ aElement0(X7) )
& ~ aReductOfIn0(X5,X0,xR)
& X0 != X5 )
| ~ aElement0(X5) ) )
& ! [X1] :
( ? [X2] :
( aNormalFormOfIn0(X2,X1,xR)
& ! [X3] : ~ aReductOfIn0(X3,X2,xR)
& sdtmndtasgtdt0(X1,xR,X2)
& ( ( sdtmndtplgtdt0(X1,xR,X2)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X2)
& aReductOfIn0(X4,X1,xR)
& aElement0(X4) )
| aReductOfIn0(X2,X1,xR) ) )
| X1 = X2 )
& aElement0(X2) )
| ~ iLess0(X1,X0)
| ~ aElement0(X1) )
& aElement0(X0) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
? [X0] :
( ! [X5] :
( ~ aNormalFormOfIn0(X5,X0,xR)
& ( ? [X6] : aReductOfIn0(X6,X5,xR)
| ( ~ sdtmndtasgtdt0(X0,xR,X5)
& ~ sdtmndtplgtdt0(X0,xR,X5)
& ! [X7] :
( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ aReductOfIn0(X7,X0,xR)
| ~ aElement0(X7) )
& ~ aReductOfIn0(X5,X0,xR)
& X0 != X5 )
| ~ aElement0(X5) ) )
& ! [X1] :
( ? [X2] :
( aNormalFormOfIn0(X2,X1,xR)
& ! [X3] : ~ aReductOfIn0(X3,X2,xR)
& sdtmndtasgtdt0(X1,xR,X2)
& ( ( sdtmndtplgtdt0(X1,xR,X2)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X2)
& aReductOfIn0(X4,X1,xR)
& aElement0(X4) )
| aReductOfIn0(X2,X1,xR) ) )
| X1 = X2 )
& aElement0(X2) )
| ~ iLess0(X1,X0)
| ~ aElement0(X1) )
& aElement0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0] :
( aElement0(X0)
=> ( ! [X1] :
( aElement0(X1)
=> ( iLess0(X1,X0)
=> ? [X2] :
( aNormalFormOfIn0(X2,X1,xR)
& ~ ? [X3] : aReductOfIn0(X3,X2,xR)
& sdtmndtasgtdt0(X1,xR,X2)
& ( ( sdtmndtplgtdt0(X1,xR,X2)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X2)
& aReductOfIn0(X4,X1,xR)
& aElement0(X4) )
| aReductOfIn0(X2,X1,xR) ) )
| X1 = X2 )
& aElement0(X2) ) ) )
=> ? [X5] :
( aNormalFormOfIn0(X5,X0,xR)
| ( ~ ? [X6] : aReductOfIn0(X6,X5,xR)
& ( sdtmndtasgtdt0(X0,xR,X5)
| sdtmndtplgtdt0(X0,xR,X5)
| ? [X7] :
( sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,X0,xR)
& aElement0(X7) )
| aReductOfIn0(X5,X0,xR)
| X0 = X5 )
& aElement0(X5) ) ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0] :
( aElement0(X0)
=> ( ! [X1] :
( aElement0(X1)
=> ( iLess0(X1,X0)
=> ? [X2] :
( aNormalFormOfIn0(X2,X1,xR)
& ~ ? [X3] : aReductOfIn0(X3,X2,xR)
& sdtmndtasgtdt0(X1,xR,X2)
& ( ( sdtmndtplgtdt0(X1,xR,X2)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X1,xR)
& aElement0(X3) )
| aReductOfIn0(X2,X1,xR) ) )
| X1 = X2 )
& aElement0(X2) ) ) )
=> ? [X1] :
( aNormalFormOfIn0(X1,X0,xR)
| ( ~ ? [X2] : aReductOfIn0(X2,X1,xR)
& ( sdtmndtasgtdt0(X0,xR,X1)
| sdtmndtplgtdt0(X0,xR,X1)
| ? [X2] :
( sdtmndtplgtdt0(X2,xR,X1)
& aReductOfIn0(X2,X0,xR)
& aElement0(X2) )
| aReductOfIn0(X1,X0,xR)
| X0 = X1 )
& aElement0(X1) ) ) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0] :
( aElement0(X0)
=> ( ! [X1] :
( aElement0(X1)
=> ( iLess0(X1,X0)
=> ? [X2] :
( aNormalFormOfIn0(X2,X1,xR)
& ~ ? [X3] : aReductOfIn0(X3,X2,xR)
& sdtmndtasgtdt0(X1,xR,X2)
& ( ( sdtmndtplgtdt0(X1,xR,X2)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X1,xR)
& aElement0(X3) )
| aReductOfIn0(X2,X1,xR) ) )
| X1 = X2 )
& aElement0(X2) ) ) )
=> ? [X1] :
( aNormalFormOfIn0(X1,X0,xR)
| ( ~ ? [X2] : aReductOfIn0(X2,X1,xR)
& ( sdtmndtasgtdt0(X0,xR,X1)
| sdtmndtplgtdt0(X0,xR,X1)
| ? [X2] :
( sdtmndtplgtdt0(X2,xR,X1)
& aReductOfIn0(X2,X0,xR)
& aElement0(X2) )
| aReductOfIn0(X1,X0,xR)
| X0 = X1 )
& aElement0(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f124,plain,
( iLess0(sK1(sK0),sK0)
| ~ spl8_1
| ~ spl8_2 ),
inference(unit_resulting_resolution,[],[f107,f117,f112,f63]) ).
fof(f63,plain,
! [X0,X1] :
( iLess0(X1,X0)
| ~ aReductOfIn0(X1,X0,xR)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( isTerminating0(xR)
& ! [X0,X1] :
( iLess0(X1,X0)
| ( ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,X0,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X1,X0,xR) )
| ~ aElement0(X1)
| ~ aElement0(X0) )
& aRewritingSystem0(xR) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
( isTerminating0(xR)
& ! [X0,X1] :
( iLess0(X1,X0)
| ( ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,X0,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X1,X0,xR) )
| ~ aElement0(X1)
| ~ aElement0(X0) )
& aRewritingSystem0(xR) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
( isTerminating0(xR)
& ! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( ( sdtmndtplgtdt0(X0,xR,X1)
| ? [X2] :
( sdtmndtplgtdt0(X2,xR,X1)
& aReductOfIn0(X2,X0,xR)
& aElement0(X2) )
| aReductOfIn0(X1,X0,xR) )
=> iLess0(X1,X0) ) )
& aRewritingSystem0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__587) ).
fof(f112,plain,
( aReductOfIn0(sK1(sK0),sK0,xR)
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl8_2
<=> aReductOfIn0(sK1(sK0),sK0,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f107,plain,
( aElement0(sK0)
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl8_1
<=> aElement0(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f117,plain,
( aElement0(sK1(sK0))
| ~ spl8_1
| ~ spl8_2 ),
inference(unit_resulting_resolution,[],[f107,f62,f112,f87]) ).
fof(f87,plain,
! [X2,X0,X1] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ! [X2] :
( aElement0(X2)
| ~ aReductOfIn0(X2,X0,X1) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f28]) ).
fof(f28,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(f62,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f23]) ).
fof(f192,plain,
( ~ sdtmndtasgtdt0(sK1(sK0),xR,sK2(sK1(sK0)))
| ~ spl8_1
| ~ spl8_2 ),
inference(unit_resulting_resolution,[],[f107,f141,f166,f117,f161,f62,f97]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ sdtmndtasgtdt0(X2,X1,X3)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| sdtmndtasgtdt0(X0,X1,X3)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,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,[],[f36]) ).
fof(f36,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(f161,plain,
( sdtmndtasgtdt0(sK0,xR,sK1(sK0))
| ~ spl8_1
| ~ spl8_2 ),
inference(unit_resulting_resolution,[],[f107,f62,f117,f154,f96]) ).
fof(f96,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X0,X1,X2)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,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,[],[f55]) ).
fof(f55,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,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f34]) ).
fof(f34,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(f154,plain,
( sdtmndtplgtdt0(sK0,xR,sK1(sK0))
| ~ spl8_1
| ~ spl8_2 ),
inference(unit_resulting_resolution,[],[f107,f117,f112,f62,f85]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X1)
| ~ aReductOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( ( sdtmndtplgtdt0(X0,X1,X2)
| ( ! [X3] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aReductOfIn0(X3,X0,X1)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,X1) ) )
& ( ( sdtmndtplgtdt0(sK4(X0,X1,X2),X1,X2)
& aReductOfIn0(sK4(X0,X1,X2),X0,X1)
& aElement0(sK4(X0,X1,X2)) )
| aReductOfIn0(X2,X0,X1)
| ~ sdtmndtplgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f48,f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ? [X4] :
( sdtmndtplgtdt0(X4,X1,X2)
& aReductOfIn0(X4,X0,X1)
& aElement0(X4) )
=> ( sdtmndtplgtdt0(sK4(X0,X1,X2),X1,X2)
& aReductOfIn0(sK4(X0,X1,X2),X0,X1)
& aElement0(sK4(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,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,[],[f47]) ).
fof(f47,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,[],[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) ) )
& ( ? [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,[],[f27]) ).
fof(f27,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,[],[f26]) ).
fof(f26,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(f166,plain,
( ~ sdtmndtasgtdt0(sK0,xR,sK2(sK1(sK0)))
| ~ spl8_1
| ~ spl8_2 ),
inference(unit_resulting_resolution,[],[f141,f139,f80]) ).
fof(f80,plain,
! [X1] :
( aReductOfIn0(sK1(X1),X1,xR)
| ~ sdtmndtasgtdt0(sK0,xR,X1)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f139,plain,
( ! [X0] : ~ aReductOfIn0(X0,sK2(sK1(sK0)),xR)
| ~ spl8_1
| ~ spl8_2 ),
inference(unit_resulting_resolution,[],[f117,f124,f74]) ).
fof(f74,plain,
! [X6,X4] :
( ~ iLess0(X4,sK0)
| ~ aReductOfIn0(X6,sK2(X4),xR)
| ~ aElement0(X4) ),
inference(cnf_transformation,[],[f45]) ).
fof(f141,plain,
( aElement0(sK2(sK1(sK0)))
| ~ spl8_1
| ~ spl8_2 ),
inference(unit_resulting_resolution,[],[f117,f124,f68]) ).
fof(f68,plain,
! [X4] :
( aElement0(sK2(X4))
| ~ iLess0(X4,sK0)
| ~ aElement0(X4) ),
inference(cnf_transformation,[],[f45]) ).
fof(f114,plain,
spl8_1,
inference(avatar_split_clause,[],[f67,f106]) ).
fof(f67,plain,
aElement0(sK0),
inference(cnf_transformation,[],[f45]) ).
fof(f113,plain,
( ~ spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f102,f110,f106]) ).
fof(f102,plain,
( aReductOfIn0(sK1(sK0),sK0,xR)
| ~ aElement0(sK0) ),
inference(equality_resolution,[],[f76]) ).
fof(f76,plain,
! [X1] :
( aReductOfIn0(sK1(X1),X1,xR)
| sK0 != X1
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM013+4 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.14 % 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
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 10:09:38 EDT 2024
% 0.21/0.35 % CPUTime :
% 0.21/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.21/0.35 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/benchmark/theBenchmark.p
% 0.56/0.74 % (3150)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)
% 0.56/0.74 % (3143)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)
% 0.56/0.74 % (3145)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.74 % (3144)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)
% 0.56/0.74 % (3148)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)
% 0.56/0.74 % (3146)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 % (3147)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)
% 0.56/0.74 % (3149)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)
% 0.56/0.74 % (3146)First to succeed.
% 0.56/0.74 % (3144)Also succeeded, but the first one will report.
% 0.56/0.75 % (3145)Also succeeded, but the first one will report.
% 0.56/0.75 % (3150)Also succeeded, but the first one will report.
% 0.56/0.75 % (3146)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3010"
% 0.56/0.75 % (3146)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for theBenchmark
% 0.56/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.75 % (3146)------------------------------
% 0.56/0.75 % (3146)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (3146)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (3146)Memory used [KB]: 1142
% 0.56/0.75 % (3146)Time elapsed: 0.009 s
% 0.56/0.75 % (3146)Instructions burned: 13 (million)
% 0.56/0.75 % (3010)Success in time 0.383 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------