TSTP Solution File: COM003+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : COM003+3 : TPTP v8.1.2. Released v2.0.0.
% 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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:46:07 EDT 2024
% Result : Theorem 0.58s 0.85s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 33
% Syntax : Number of formulae : 202 ( 2 unt; 0 def)
% Number of atoms : 913 ( 0 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 1252 ( 541 ~; 532 |; 124 &)
% ( 19 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 20 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-1 aty)
% Number of variables : 258 ( 211 !; 47 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f419,plain,
$false,
inference(avatar_sat_refutation,[],[f69,f73,f78,f79,f87,f91,f98,f102,f107,f130,f156,f173,f182,f185,f198,f216,f236,f263,f293,f323,f327,f333,f365,f374,f385,f411,f418]) ).
fof(f418,plain,
( ~ spl11_4
| ~ spl11_5
| ~ spl11_12
| spl11_13
| ~ spl11_21 ),
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f417,plain,
( $false
| ~ spl11_4
| ~ spl11_5
| ~ spl11_12
| spl11_13
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f416,f77]) ).
fof(f77,plain,
( program(sK3)
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl11_4
<=> program(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f416,plain,
( ~ program(sK3)
| ~ spl11_5
| ~ spl11_12
| spl11_13
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f415,f128]) ).
fof(f128,plain,
( ~ sP1(sK3)
| spl11_13 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl11_13
<=> sP1(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f415,plain,
( sP1(sK3)
| ~ program(sK3)
| ~ spl11_5
| ~ spl11_12
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f412,f124]) ).
fof(f124,plain,
( halts3(sK3,sK7(sK3),sK8(sK3))
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl11_12
<=> halts3(sK3,sK7(sK3),sK8(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f412,plain,
( ~ halts3(sK3,sK7(sK3),sK8(sK3))
| sP1(sK3)
| ~ program(sK3)
| ~ spl11_5
| ~ spl11_21 ),
inference(resolution,[],[f335,f376]) ).
fof(f376,plain,
( ! [X0] :
( sP0(X0,sK8(X0),sK7(X0))
| sP1(X0)
| ~ program(X0) )
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f375,f80]) ).
fof(f80,plain,
! [X0] :
( program(sK7(X0))
| sP1(X0)
| ~ program(X0) ),
inference(subsumption_resolution,[],[f52,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| program(X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( ( ~ outputs(X0,good)
| ~ halts3(X0,X2,X1) )
& halts2(X2,X1)
& program(X2) )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X0,X2,X1] :
( ( ( ~ outputs(X0,good)
| ~ halts3(X0,X1,X2) )
& halts2(X1,X2)
& program(X1) )
| ~ sP0(X0,X2,X1) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X2,X1] :
( ( ( ~ outputs(X0,good)
| ~ halts3(X0,X1,X2) )
& halts2(X1,X2)
& program(X1) )
| ~ sP0(X0,X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f52,plain,
! [X0] :
( sP1(X0)
| program(sK7(X0))
| sP0(X0,sK8(X0),sK7(X0))
| ~ program(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( sP1(X0)
| ( ( ~ outputs(X0,bad)
| ~ halts3(X0,sK7(X0),sK8(X0)) )
& ~ halts2(sK7(X0),sK8(X0))
& program(sK7(X0)) )
| sP0(X0,sK8(X0),sK7(X0))
| ~ program(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f19,f33]) ).
fof(f33,plain,
! [X0] :
( ? [X1,X2] :
( ( ( ~ outputs(X0,bad)
| ~ halts3(X0,X1,X2) )
& ~ halts2(X1,X2)
& program(X1) )
| sP0(X0,X2,X1) )
=> ( ( ( ~ outputs(X0,bad)
| ~ halts3(X0,sK7(X0),sK8(X0)) )
& ~ halts2(sK7(X0),sK8(X0))
& program(sK7(X0)) )
| sP0(X0,sK8(X0),sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( sP1(X0)
| ? [X1,X2] :
( ( ( ~ outputs(X0,bad)
| ~ halts3(X0,X1,X2) )
& ~ halts2(X1,X2)
& program(X1) )
| sP0(X0,X2,X1) )
| ~ program(X0) ),
inference(definition_folding,[],[f14,f18,f17]) ).
fof(f18,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( ( ( outputs(X3,bad)
& halts2(X3,X4) )
| ~ outputs(X0,bad)
| ~ halts3(X0,X4,X4)
| ~ program(X4) )
& ( ~ halts2(X3,X4)
| ~ outputs(X0,good)
| ~ halts3(X0,X4,X4)
| ~ program(X4) ) )
& program(X3) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f14,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( ( ( outputs(X3,bad)
& halts2(X3,X4) )
| ~ outputs(X0,bad)
| ~ halts3(X0,X4,X4)
| ~ program(X4) )
& ( ~ halts2(X3,X4)
| ~ outputs(X0,good)
| ~ halts3(X0,X4,X4)
| ~ program(X4) ) )
& program(X3) )
| ? [X1,X2] :
( ( ( ~ outputs(X0,bad)
| ~ halts3(X0,X1,X2) )
& ~ halts2(X1,X2)
& program(X1) )
| ( ( ~ outputs(X0,good)
| ~ halts3(X0,X1,X2) )
& halts2(X1,X2)
& program(X1) ) )
| ~ program(X0) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( ( ( outputs(X3,bad)
& halts2(X3,X4) )
| ~ outputs(X0,bad)
| ~ halts3(X0,X4,X4)
| ~ program(X4) )
& ( ~ halts2(X3,X4)
| ~ outputs(X0,good)
| ~ halts3(X0,X4,X4)
| ~ program(X4) ) )
& program(X3) )
| ? [X1,X2] :
( ( ( ~ outputs(X0,bad)
| ~ halts3(X0,X1,X2) )
& ~ halts2(X1,X2)
& program(X1) )
| ( ( ~ outputs(X0,good)
| ~ halts3(X0,X1,X2) )
& halts2(X1,X2)
& program(X1) ) )
| ~ program(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] :
( ( ! [X1,X2] :
( ( ( ~ halts2(X1,X2)
& program(X1) )
=> ( outputs(X0,bad)
& halts3(X0,X1,X2) ) )
& ( ( halts2(X1,X2)
& program(X1) )
=> ( outputs(X0,good)
& halts3(X0,X1,X2) ) ) )
& program(X0) )
=> ? [X3] :
( ! [X4] :
( ( ( outputs(X0,bad)
& halts3(X0,X4,X4)
& program(X4) )
=> ( outputs(X3,bad)
& halts2(X3,X4) ) )
& ( ( outputs(X0,good)
& halts3(X0,X4,X4)
& program(X4) )
=> ~ halts2(X3,X4) ) )
& program(X3) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3] :
( ( ! [X1,X2] :
( ( ( ~ halts2(X1,X2)
& program(X1) )
=> ( outputs(X3,bad)
& halts3(X3,X1,X2) ) )
& ( ( halts2(X1,X2)
& program(X1) )
=> ( outputs(X3,good)
& halts3(X3,X1,X2) ) ) )
& program(X3) )
=> ? [X4] :
( ! [X1] :
( ( ( outputs(X3,bad)
& halts3(X3,X1,X1)
& program(X1) )
=> ( outputs(X4,bad)
& halts2(X4,X1) ) )
& ( ( outputs(X3,good)
& halts3(X3,X1,X1)
& program(X1) )
=> ~ halts2(X4,X1) ) )
& program(X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.dz7i7EihL1/Vampire---4.8_11987',p3) ).
fof(f375,plain,
( ! [X0] :
( ~ program(sK7(X0))
| sP1(X0)
| sP0(X0,sK8(X0),sK7(X0))
| ~ program(X0) )
| ~ spl11_5 ),
inference(resolution,[],[f83,f53]) ).
fof(f53,plain,
! [X0] :
( ~ halts2(sK7(X0),sK8(X0))
| sP1(X0)
| sP0(X0,sK8(X0),sK7(X0))
| ~ program(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f83,plain,
( ! [X2,X1] :
( halts2(X1,X2)
| ~ program(X1) )
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl11_5
<=> ! [X2,X1] :
( halts2(X1,X2)
| ~ program(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f335,plain,
( ! [X0,X1] :
( ~ sP0(sK3,X1,X0)
| ~ halts3(sK3,X0,X1) )
| ~ spl11_21 ),
inference(resolution,[],[f196,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ outputs(X0,good)
| ~ halts3(X0,X2,X1)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f196,plain,
( outputs(sK3,good)
| ~ spl11_21 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl11_21
<=> outputs(sK3,good) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_21])]) ).
fof(f411,plain,
( ~ spl11_4
| spl11_19
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f398,plain,
( $false
| ~ spl11_4
| spl11_19
| ~ spl11_20 ),
inference(resolution,[],[f397,f77]) ).
fof(f397,plain,
( ! [X0] : ~ program(X0)
| ~ spl11_4
| spl11_19
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f396,f77]) ).
fof(f396,plain,
( ! [X0] :
( ~ program(X0)
| ~ program(sK3) )
| spl11_19
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f392,f178]) ).
fof(f178,plain,
( ~ program(sK9(sK3))
| spl11_19 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl11_19
<=> program(sK9(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_19])]) ).
fof(f392,plain,
( ! [X0] :
( ~ program(X0)
| program(sK9(sK3))
| ~ program(sK3) )
| ~ spl11_20 ),
inference(duplicate_literal_removal,[],[f391]) ).
fof(f391,plain,
( ! [X0] :
( ~ program(X0)
| ~ program(X0)
| program(sK9(sK3))
| ~ program(sK3) )
| ~ spl11_20 ),
inference(resolution,[],[f193,f104]) ).
fof(f104,plain,
! [X2,X0,X1] :
( halts3(X0,X1,X2)
| ~ program(X1)
| program(sK9(X0))
| ~ program(X0) ),
inference(subsumption_resolution,[],[f55,f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( halts3(X0,X1,X2)
| halts2(X1,X2)
| ~ program(X1)
| program(sK9(X0))
| ~ program(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ! [X1,X2] :
( ( ( outputs(X0,bad)
& halts3(X0,X1,X2) )
| halts2(X1,X2)
| ~ program(X1) )
& ( ( outputs(X0,good)
& halts3(X0,X1,X2) )
| ~ halts2(X1,X2)
| ~ program(X1) ) )
| ( ~ decides(X0,sK9(X0),sK10(X0))
& program(sK9(X0)) )
| ~ program(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f35,f37,f36]) ).
fof(f36,plain,
! [X0] :
( ? [X3] :
( ? [X4] : ~ decides(X0,X3,X4)
& program(X3) )
=> ( ? [X4] : ~ decides(X0,sK9(X0),X4)
& program(sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0] :
( ? [X4] : ~ decides(X0,sK9(X0),X4)
=> ~ decides(X0,sK9(X0),sK10(X0)) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0] :
( ! [X1,X2] :
( ( ( outputs(X0,bad)
& halts3(X0,X1,X2) )
| halts2(X1,X2)
| ~ program(X1) )
& ( ( outputs(X0,good)
& halts3(X0,X1,X2) )
| ~ halts2(X1,X2)
| ~ program(X1) ) )
| ? [X3] :
( ? [X4] : ~ decides(X0,X3,X4)
& program(X3) )
| ~ program(X0) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ! [X3,X4] :
( ( ( outputs(X0,bad)
& halts3(X0,X3,X4) )
| halts2(X3,X4)
| ~ program(X3) )
& ( ( outputs(X0,good)
& halts3(X0,X3,X4) )
| ~ halts2(X3,X4)
| ~ program(X3) ) )
| ? [X1] :
( ? [X2] : ~ decides(X0,X1,X2)
& program(X1) )
| ~ program(X0) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ! [X3,X4] :
( ( ( outputs(X0,bad)
& halts3(X0,X3,X4) )
| halts2(X3,X4)
| ~ program(X3) )
& ( ( outputs(X0,good)
& halts3(X0,X3,X4) )
| ~ halts2(X3,X4)
| ~ program(X3) ) )
| ? [X1] :
( ? [X2] : ~ decides(X0,X1,X2)
& program(X1) )
| ~ program(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0] :
( ( ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) )
& program(X0) )
=> ! [X3,X4] :
( ( ( ~ halts2(X3,X4)
& program(X3) )
=> ( outputs(X0,bad)
& halts3(X0,X3,X4) ) )
& ( ( halts2(X3,X4)
& program(X3) )
=> ( outputs(X0,good)
& halts3(X0,X3,X4) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3] :
( ( ! [X1] :
( program(X1)
=> ! [X2] : decides(X3,X1,X2) )
& program(X3) )
=> ! [X1,X2] :
( ( ( ~ halts2(X1,X2)
& program(X1) )
=> ( outputs(X3,bad)
& halts3(X3,X1,X2) ) )
& ( ( halts2(X1,X2)
& program(X1) )
=> ( outputs(X3,good)
& halts3(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.dz7i7EihL1/Vampire---4.8_11987',p2) ).
fof(f55,plain,
! [X2,X0,X1] :
( halts3(X0,X1,X2)
| ~ halts2(X1,X2)
| ~ program(X1)
| program(sK9(X0))
| ~ program(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f193,plain,
( ! [X0] :
( ~ halts3(sK3,X0,X0)
| ~ program(X0) )
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl11_20
<=> ! [X0] :
( ~ halts3(sK3,X0,X0)
| ~ program(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).
fof(f385,plain,
( spl11_20
| ~ spl11_5
| ~ spl11_13
| ~ spl11_21
| ~ spl11_36 ),
inference(avatar_split_clause,[],[f384,f303,f195,f127,f82,f192]) ).
fof(f303,plain,
( spl11_36
<=> program(sK6(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_36])]) ).
fof(f384,plain,
( ! [X0] :
( ~ program(X0)
| ~ halts3(sK3,X0,X0) )
| ~ spl11_5
| ~ spl11_13
| ~ spl11_21
| ~ spl11_36 ),
inference(subsumption_resolution,[],[f383,f304]) ).
fof(f304,plain,
( program(sK6(sK3))
| ~ spl11_36 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f383,plain,
( ! [X0] :
( ~ program(X0)
| ~ halts3(sK3,X0,X0)
| ~ program(sK6(sK3)) )
| ~ spl11_5
| ~ spl11_13
| ~ spl11_21 ),
inference(resolution,[],[f368,f83]) ).
fof(f368,plain,
( ! [X0] :
( ~ halts2(sK6(sK3),X0)
| ~ program(X0)
| ~ halts3(sK3,X0,X0) )
| ~ spl11_13
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f329,f196]) ).
fof(f329,plain,
( ! [X0] :
( ~ outputs(sK3,good)
| ~ halts3(sK3,X0,X0)
| ~ program(X0)
| ~ halts2(sK6(sK3),X0) )
| ~ spl11_13 ),
inference(resolution,[],[f129,f46]) ).
fof(f46,plain,
! [X2,X0] :
( ~ sP1(X0)
| ~ outputs(X0,good)
| ~ halts3(X0,X2,X2)
| ~ program(X2)
| ~ halts2(sK6(X0),X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ( ! [X2] :
( ( ( outputs(sK6(X0),bad)
& halts2(sK6(X0),X2) )
| ~ outputs(X0,bad)
| ~ halts3(X0,X2,X2)
| ~ program(X2) )
& ( ~ halts2(sK6(X0),X2)
| ~ outputs(X0,good)
| ~ halts3(X0,X2,X2)
| ~ program(X2) ) )
& program(sK6(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f28,f29]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ( ( outputs(X1,bad)
& halts2(X1,X2) )
| ~ outputs(X0,bad)
| ~ halts3(X0,X2,X2)
| ~ program(X2) )
& ( ~ halts2(X1,X2)
| ~ outputs(X0,good)
| ~ halts3(X0,X2,X2)
| ~ program(X2) ) )
& program(X1) )
=> ( ! [X2] :
( ( ( outputs(sK6(X0),bad)
& halts2(sK6(X0),X2) )
| ~ outputs(X0,bad)
| ~ halts3(X0,X2,X2)
| ~ program(X2) )
& ( ~ halts2(sK6(X0),X2)
| ~ outputs(X0,good)
| ~ halts3(X0,X2,X2)
| ~ program(X2) ) )
& program(sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ( ( outputs(X1,bad)
& halts2(X1,X2) )
| ~ outputs(X0,bad)
| ~ halts3(X0,X2,X2)
| ~ program(X2) )
& ( ~ halts2(X1,X2)
| ~ outputs(X0,good)
| ~ halts3(X0,X2,X2)
| ~ program(X2) ) )
& program(X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( ( ( outputs(X3,bad)
& halts2(X3,X4) )
| ~ outputs(X0,bad)
| ~ halts3(X0,X4,X4)
| ~ program(X4) )
& ( ~ halts2(X3,X4)
| ~ outputs(X0,good)
| ~ halts3(X0,X4,X4)
| ~ program(X4) ) )
& program(X3) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f18]) ).
fof(f129,plain,
( sP1(sK3)
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f374,plain,
( ~ spl11_4
| ~ spl11_6
| spl11_11
| ~ spl11_17 ),
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f373,plain,
( $false
| ~ spl11_4
| ~ spl11_6
| spl11_11
| ~ spl11_17 ),
inference(subsumption_resolution,[],[f372,f165]) ).
fof(f165,plain,
( decides(sK3,sK9(sK3),sK10(sK3))
| ~ spl11_17 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl11_17
<=> decides(sK3,sK9(sK3),sK10(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).
fof(f372,plain,
( ~ decides(sK3,sK9(sK3),sK10(sK3))
| ~ spl11_4
| ~ spl11_6
| spl11_11 ),
inference(subsumption_resolution,[],[f371,f77]) ).
fof(f371,plain,
( ~ program(sK3)
| ~ decides(sK3,sK9(sK3),sK10(sK3))
| ~ spl11_6
| spl11_11 ),
inference(resolution,[],[f121,f86]) ).
fof(f86,plain,
( ! [X0] :
( outputs(X0,bad)
| ~ program(X0)
| ~ decides(X0,sK9(X0),sK10(X0)) )
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl11_6
<=> ! [X0] :
( outputs(X0,bad)
| ~ program(X0)
| ~ decides(X0,sK9(X0),sK10(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f121,plain,
( ~ outputs(sK3,bad)
| spl11_11 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl11_11
<=> outputs(sK3,bad) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f365,plain,
( ~ spl11_4
| ~ spl11_17
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f350]) ).
fof(f350,plain,
( $false
| ~ spl11_4
| ~ spl11_17
| ~ spl11_20 ),
inference(resolution,[],[f349,f77]) ).
fof(f349,plain,
( ! [X0] : ~ program(X0)
| ~ spl11_4
| ~ spl11_17
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f348,f77]) ).
fof(f348,plain,
( ! [X0] :
( ~ program(X0)
| ~ program(sK3) )
| ~ spl11_17
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f344,f165]) ).
fof(f344,plain,
( ! [X0] :
( ~ program(X0)
| ~ decides(sK3,sK9(sK3),sK10(sK3))
| ~ program(sK3) )
| ~ spl11_20 ),
inference(duplicate_literal_removal,[],[f339]) ).
fof(f339,plain,
( ! [X0] :
( ~ program(X0)
| ~ program(X0)
| ~ decides(sK3,sK9(sK3),sK10(sK3))
| ~ program(sK3) )
| ~ spl11_20 ),
inference(resolution,[],[f193,f103]) ).
fof(f103,plain,
! [X2,X0,X1] :
( halts3(X0,X1,X2)
| ~ program(X1)
| ~ decides(X0,sK9(X0),sK10(X0))
| ~ program(X0) ),
inference(subsumption_resolution,[],[f56,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( halts3(X0,X1,X2)
| halts2(X1,X2)
| ~ program(X1)
| ~ decides(X0,sK9(X0),sK10(X0))
| ~ program(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f56,plain,
! [X2,X0,X1] :
( halts3(X0,X1,X2)
| ~ halts2(X1,X2)
| ~ program(X1)
| ~ decides(X0,sK9(X0),sK10(X0))
| ~ program(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f333,plain,
( spl11_36
| ~ spl11_13 ),
inference(avatar_split_clause,[],[f330,f127,f303]) ).
fof(f330,plain,
( program(sK6(sK3))
| ~ spl11_13 ),
inference(resolution,[],[f129,f45]) ).
fof(f45,plain,
! [X0] :
( ~ sP1(X0)
| program(sK6(X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f327,plain,
( ~ spl11_19
| spl11_21
| ~ spl11_2
| ~ spl11_4
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f326,f96,f75,f67,f195,f177]) ).
fof(f67,plain,
( spl11_2
<=> ! [X2,X1] :
( decides(sK3,X1,X2)
| ~ program(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f96,plain,
( spl11_9
<=> ! [X0] :
( outputs(X0,good)
| ~ program(X0)
| ~ decides(X0,sK9(X0),sK10(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f326,plain,
( outputs(sK3,good)
| ~ program(sK9(sK3))
| ~ spl11_2
| ~ spl11_4
| ~ spl11_9 ),
inference(subsumption_resolution,[],[f277,f77]) ).
fof(f277,plain,
( ~ program(sK3)
| outputs(sK3,good)
| ~ program(sK9(sK3))
| ~ spl11_2
| ~ spl11_9 ),
inference(resolution,[],[f97,f68]) ).
fof(f68,plain,
( ! [X2,X1] :
( decides(sK3,X1,X2)
| ~ program(X1) )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f97,plain,
( ! [X0] :
( ~ decides(X0,sK9(X0),sK10(X0))
| ~ program(X0)
| outputs(X0,good) )
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f323,plain,
( ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| spl11_13
| ~ spl11_21 ),
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f322,plain,
( $false
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| spl11_13
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f321,f77]) ).
fof(f321,plain,
( ~ program(sK3)
| ~ spl11_11
| ~ spl11_12
| spl11_13
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f320,f128]) ).
fof(f320,plain,
( sP1(sK3)
| ~ program(sK3)
| ~ spl11_11
| ~ spl11_12
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f319,f120]) ).
fof(f120,plain,
( outputs(sK3,bad)
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f319,plain,
( ~ outputs(sK3,bad)
| sP1(sK3)
| ~ program(sK3)
| ~ spl11_12
| ~ spl11_21 ),
inference(subsumption_resolution,[],[f318,f124]) ).
fof(f318,plain,
( ~ halts3(sK3,sK7(sK3),sK8(sK3))
| ~ outputs(sK3,bad)
| sP1(sK3)
| ~ program(sK3)
| ~ spl11_21 ),
inference(duplicate_literal_removal,[],[f317]) ).
fof(f317,plain,
( ~ halts3(sK3,sK7(sK3),sK8(sK3))
| ~ outputs(sK3,bad)
| ~ halts3(sK3,sK7(sK3),sK8(sK3))
| sP1(sK3)
| ~ program(sK3)
| ~ spl11_21 ),
inference(resolution,[],[f294,f54]) ).
fof(f54,plain,
! [X0] :
( sP0(X0,sK8(X0),sK7(X0))
| ~ outputs(X0,bad)
| ~ halts3(X0,sK7(X0),sK8(X0))
| sP1(X0)
| ~ program(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f294,plain,
( ! [X0,X1] :
( ~ sP0(sK3,X1,X0)
| ~ halts3(sK3,X0,X1) )
| ~ spl11_21 ),
inference(resolution,[],[f196,f51]) ).
fof(f293,plain,
( spl11_21
| ~ spl11_4
| ~ spl11_10
| spl11_19 ),
inference(avatar_split_clause,[],[f290,f177,f100,f75,f195]) ).
fof(f100,plain,
( spl11_10
<=> ! [X0] :
( outputs(X0,good)
| ~ program(X0)
| program(sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f290,plain,
( outputs(sK3,good)
| ~ spl11_4
| ~ spl11_10
| spl11_19 ),
inference(subsumption_resolution,[],[f289,f77]) ).
fof(f289,plain,
( ~ program(sK3)
| outputs(sK3,good)
| ~ spl11_10
| spl11_19 ),
inference(resolution,[],[f178,f101]) ).
fof(f101,plain,
( ! [X0] :
( program(sK9(X0))
| ~ program(X0)
| outputs(X0,good) )
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f263,plain,
( ~ spl11_1
| ~ spl11_3 ),
inference(avatar_contradiction_clause,[],[f262]) ).
fof(f262,plain,
( $false
| ~ spl11_1
| ~ spl11_3 ),
inference(subsumption_resolution,[],[f261,f39]) ).
fof(f39,plain,
algorithm(sK2),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ! [X1] :
( ! [X2] : decides(sK2,X1,X2)
| ~ program(X1) )
& algorithm(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f11,f20]) ).
fof(f20,plain,
( ? [X0] :
( ! [X1] :
( ! [X2] : decides(X0,X1,X2)
| ~ program(X1) )
& algorithm(X0) )
=> ( ! [X1] :
( ! [X2] : decides(sK2,X1,X2)
| ~ program(X1) )
& algorithm(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0] :
( ! [X1] :
( ! [X2] : decides(X0,X1,X2)
| ~ program(X1) )
& algorithm(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) )
& algorithm(X0) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
~ ~ ? [X0] :
( ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) )
& algorithm(X0) ),
inference(rectify,[],[f5]) ).
fof(f5,negated_conjecture,
~ ~ ? [X5] :
( ! [X6] :
( program(X6)
=> ! [X7] : decides(X5,X6,X7) )
& algorithm(X5) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
~ ? [X5] :
( ! [X6] :
( program(X6)
=> ! [X7] : decides(X5,X6,X7) )
& algorithm(X5) ),
file('/export/starexec/sandbox/tmp/tmp.dz7i7EihL1/Vampire---4.8_11987',prove_this) ).
fof(f261,plain,
( ~ algorithm(sK2)
| ~ spl11_1
| ~ spl11_3 ),
inference(resolution,[],[f243,f65]) ).
fof(f65,plain,
( ! [X3] :
( ~ decides(X3,sK4(X3),sK5(X3))
| ~ algorithm(X3) )
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl11_1
<=> ! [X3] :
( ~ decides(X3,sK4(X3),sK5(X3))
| ~ algorithm(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f243,plain,
( ! [X0] : decides(sK2,sK4(sK2),X0)
| ~ spl11_3 ),
inference(resolution,[],[f241,f40]) ).
fof(f40,plain,
! [X2,X1] :
( ~ program(X1)
| decides(sK2,X1,X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f241,plain,
( program(sK4(sK2))
| ~ spl11_3 ),
inference(resolution,[],[f72,f39]) ).
fof(f72,plain,
( ! [X3] :
( ~ algorithm(X3)
| program(sK4(X3)) )
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl11_3
<=> ! [X3] :
( program(sK4(X3))
| ~ algorithm(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f236,plain,
( ~ spl11_2
| spl11_17
| ~ spl11_19 ),
inference(avatar_contradiction_clause,[],[f235]) ).
fof(f235,plain,
( $false
| ~ spl11_2
| spl11_17
| ~ spl11_19 ),
inference(subsumption_resolution,[],[f234,f179]) ).
fof(f179,plain,
( program(sK9(sK3))
| ~ spl11_19 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f234,plain,
( ~ program(sK9(sK3))
| ~ spl11_2
| spl11_17 ),
inference(resolution,[],[f166,f68]) ).
fof(f166,plain,
( ~ decides(sK3,sK9(sK3),sK10(sK3))
| spl11_17 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f216,plain,
( spl11_20
| ~ spl11_8
| ~ spl11_11
| ~ spl11_13 ),
inference(avatar_split_clause,[],[f215,f127,f119,f93,f192]) ).
fof(f93,plain,
( spl11_8
<=> ! [X2,X1] :
( ~ halts2(X1,X2)
| ~ program(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f215,plain,
( ! [X0] :
( ~ program(X0)
| ~ halts3(sK3,X0,X0) )
| ~ spl11_8
| ~ spl11_11
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f214,f188]) ).
fof(f188,plain,
( program(sK6(sK3))
| ~ spl11_13 ),
inference(resolution,[],[f129,f45]) ).
fof(f214,plain,
( ! [X0] :
( ~ program(X0)
| ~ halts3(sK3,X0,X0)
| ~ program(sK6(sK3)) )
| ~ spl11_8
| ~ spl11_11
| ~ spl11_13 ),
inference(resolution,[],[f189,f94]) ).
fof(f94,plain,
( ! [X2,X1] :
( ~ halts2(X1,X2)
| ~ program(X1) )
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f189,plain,
( ! [X0] :
( halts2(sK6(sK3),X0)
| ~ program(X0)
| ~ halts3(sK3,X0,X0) )
| ~ spl11_11
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f186,f120]) ).
fof(f186,plain,
( ! [X0] :
( ~ outputs(sK3,bad)
| ~ halts3(sK3,X0,X0)
| ~ program(X0)
| halts2(sK6(sK3),X0) )
| ~ spl11_13 ),
inference(resolution,[],[f129,f47]) ).
fof(f47,plain,
! [X2,X0] :
( ~ sP1(X0)
| ~ outputs(X0,bad)
| ~ halts3(X0,X2,X2)
| ~ program(X2)
| halts2(sK6(X0),X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f198,plain,
( spl11_20
| ~ spl11_21
| ~ spl11_11
| ~ spl11_13 ),
inference(avatar_split_clause,[],[f190,f127,f119,f195,f192]) ).
fof(f190,plain,
( ! [X0] :
( ~ outputs(sK3,good)
| ~ halts3(sK3,X0,X0)
| ~ program(X0) )
| ~ spl11_11
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f187,f189]) ).
fof(f187,plain,
( ! [X0] :
( ~ outputs(sK3,good)
| ~ halts3(sK3,X0,X0)
| ~ program(X0)
| ~ halts2(sK6(sK3),X0) )
| ~ spl11_13 ),
inference(resolution,[],[f129,f46]) ).
fof(f185,plain,
( spl11_13
| ~ spl11_4
| spl11_18 ),
inference(avatar_split_clause,[],[f184,f168,f75,f127]) ).
fof(f168,plain,
( spl11_18
<=> program(sK7(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).
fof(f184,plain,
( sP1(sK3)
| ~ spl11_4
| spl11_18 ),
inference(subsumption_resolution,[],[f183,f77]) ).
fof(f183,plain,
( sP1(sK3)
| ~ program(sK3)
| spl11_18 ),
inference(resolution,[],[f170,f80]) ).
fof(f170,plain,
( ~ program(sK7(sK3))
| spl11_18 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f182,plain,
( spl11_19
| ~ spl11_18
| ~ spl11_4
| spl11_12 ),
inference(avatar_split_clause,[],[f181,f123,f75,f168,f177]) ).
fof(f181,plain,
( ~ program(sK7(sK3))
| program(sK9(sK3))
| ~ spl11_4
| spl11_12 ),
inference(subsumption_resolution,[],[f160,f77]) ).
fof(f160,plain,
( ~ program(sK7(sK3))
| program(sK9(sK3))
| ~ program(sK3)
| spl11_12 ),
inference(resolution,[],[f125,f104]) ).
fof(f125,plain,
( ~ halts3(sK3,sK7(sK3),sK8(sK3))
| spl11_12 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f173,plain,
( ~ spl11_17
| ~ spl11_18
| ~ spl11_4
| spl11_12 ),
inference(avatar_split_clause,[],[f172,f123,f75,f168,f164]) ).
fof(f172,plain,
( ~ program(sK7(sK3))
| ~ decides(sK3,sK9(sK3),sK10(sK3))
| ~ spl11_4
| spl11_12 ),
inference(subsumption_resolution,[],[f158,f77]) ).
fof(f158,plain,
( ~ program(sK7(sK3))
| ~ decides(sK3,sK9(sK3),sK10(sK3))
| ~ program(sK3)
| spl11_12 ),
inference(resolution,[],[f125,f103]) ).
fof(f156,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| spl11_11 ),
inference(avatar_contradiction_clause,[],[f155]) ).
fof(f155,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| spl11_11 ),
inference(subsumption_resolution,[],[f154,f134]) ).
fof(f134,plain,
( program(sK9(sK3))
| ~ spl11_4
| ~ spl11_7
| spl11_11 ),
inference(subsumption_resolution,[],[f132,f77]) ).
fof(f132,plain,
( ~ program(sK3)
| program(sK9(sK3))
| ~ spl11_7
| spl11_11 ),
inference(resolution,[],[f121,f90]) ).
fof(f90,plain,
( ! [X0] :
( outputs(X0,bad)
| ~ program(X0)
| program(sK9(X0)) )
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl11_7
<=> ! [X0] :
( outputs(X0,bad)
| ~ program(X0)
| program(sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f154,plain,
( ~ program(sK9(sK3))
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| spl11_11 ),
inference(resolution,[],[f133,f68]) ).
fof(f133,plain,
( ~ decides(sK3,sK9(sK3),sK10(sK3))
| ~ spl11_4
| ~ spl11_6
| spl11_11 ),
inference(subsumption_resolution,[],[f131,f77]) ).
fof(f131,plain,
( ~ program(sK3)
| ~ decides(sK3,sK9(sK3),sK10(sK3))
| ~ spl11_6
| spl11_11 ),
inference(resolution,[],[f121,f86]) ).
fof(f130,plain,
( ~ spl11_11
| ~ spl11_12
| spl11_13
| ~ spl11_4
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f116,f93,f75,f127,f123,f119]) ).
fof(f116,plain,
( sP1(sK3)
| ~ halts3(sK3,sK7(sK3),sK8(sK3))
| ~ outputs(sK3,bad)
| ~ spl11_4
| ~ spl11_8 ),
inference(resolution,[],[f115,f77]) ).
fof(f115,plain,
( ! [X0] :
( ~ program(X0)
| sP1(X0)
| ~ halts3(X0,sK7(X0),sK8(X0))
| ~ outputs(X0,bad) )
| ~ spl11_8 ),
inference(subsumption_resolution,[],[f113,f80]) ).
fof(f113,plain,
( ! [X0] :
( ~ halts3(X0,sK7(X0),sK8(X0))
| sP1(X0)
| ~ program(X0)
| ~ outputs(X0,bad)
| ~ program(sK7(X0)) )
| ~ spl11_8 ),
inference(resolution,[],[f110,f94]) ).
fof(f110,plain,
! [X0] :
( halts2(sK7(X0),sK8(X0))
| ~ halts3(X0,sK7(X0),sK8(X0))
| sP1(X0)
| ~ program(X0)
| ~ outputs(X0,bad) ),
inference(resolution,[],[f54,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| halts2(X2,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f107,plain,
( ~ spl11_4
| ~ spl11_5
| ~ spl11_8 ),
inference(avatar_contradiction_clause,[],[f106]) ).
fof(f106,plain,
( $false
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8 ),
inference(subsumption_resolution,[],[f77,f105]) ).
fof(f105,plain,
( ! [X1] : ~ program(X1)
| ~ spl11_5
| ~ spl11_8 ),
inference(subsumption_resolution,[],[f83,f94]) ).
fof(f102,plain,
( spl11_8
| spl11_10 ),
inference(avatar_split_clause,[],[f57,f100,f93]) ).
fof(f57,plain,
! [X2,X0,X1] :
( outputs(X0,good)
| ~ halts2(X1,X2)
| ~ program(X1)
| program(sK9(X0))
| ~ program(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f98,plain,
( spl11_8
| spl11_9 ),
inference(avatar_split_clause,[],[f58,f96,f93]) ).
fof(f58,plain,
! [X2,X0,X1] :
( outputs(X0,good)
| ~ halts2(X1,X2)
| ~ program(X1)
| ~ decides(X0,sK9(X0),sK10(X0))
| ~ program(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f91,plain,
( spl11_5
| spl11_7 ),
inference(avatar_split_clause,[],[f61,f89,f82]) ).
fof(f61,plain,
! [X2,X0,X1] :
( outputs(X0,bad)
| halts2(X1,X2)
| ~ program(X1)
| program(sK9(X0))
| ~ program(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f87,plain,
( spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f62,f85,f82]) ).
fof(f62,plain,
! [X2,X0,X1] :
( outputs(X0,bad)
| halts2(X1,X2)
| ~ program(X1)
| ~ decides(X0,sK9(X0),sK10(X0))
| ~ program(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f79,plain,
( spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f41,f75,f71]) ).
fof(f41,plain,
! [X3] :
( program(sK3)
| program(sK4(X3))
| ~ algorithm(X3) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( ! [X1] :
( ! [X2] : decides(sK3,X1,X2)
| ~ program(X1) )
& program(sK3) )
| ! [X3] :
( ( ~ decides(X3,sK4(X3),sK5(X3))
& program(sK4(X3)) )
| ~ algorithm(X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f22,f25,f24,f23]) ).
fof(f23,plain,
( ? [X0] :
( ! [X1] :
( ! [X2] : decides(X0,X1,X2)
| ~ program(X1) )
& program(X0) )
=> ( ! [X1] :
( ! [X2] : decides(sK3,X1,X2)
| ~ program(X1) )
& program(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X3] :
( ? [X4] :
( ? [X5] : ~ decides(X3,X4,X5)
& program(X4) )
=> ( ? [X5] : ~ decides(X3,sK4(X3),X5)
& program(sK4(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X3] :
( ? [X5] : ~ decides(X3,sK4(X3),X5)
=> ~ decides(X3,sK4(X3),sK5(X3)) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
( ? [X0] :
( ! [X1] :
( ! [X2] : decides(X0,X1,X2)
| ~ program(X1) )
& program(X0) )
| ! [X3] :
( ? [X4] :
( ? [X5] : ~ decides(X3,X4,X5)
& program(X4) )
| ~ algorithm(X3) ) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
( ? [X3] :
( ! [X4] :
( ! [X5] : decides(X3,X4,X5)
| ~ program(X4) )
& program(X3) )
| ! [X0] :
( ? [X1] :
( ? [X2] : ~ decides(X0,X1,X2)
& program(X1) )
| ~ algorithm(X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
( ? [X0] :
( ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) )
& algorithm(X0) )
=> ? [X3] :
( ! [X4] :
( program(X4)
=> ! [X5] : decides(X3,X4,X5) )
& program(X3) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
( ? [X0] :
( ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) )
& algorithm(X0) )
=> ? [X3] :
( ! [X1] :
( program(X1)
=> ! [X2] : decides(X3,X1,X2) )
& program(X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.dz7i7EihL1/Vampire---4.8_11987',p1) ).
fof(f78,plain,
( spl11_1
| spl11_4 ),
inference(avatar_split_clause,[],[f42,f75,f64]) ).
fof(f42,plain,
! [X3] :
( program(sK3)
| ~ decides(X3,sK4(X3),sK5(X3))
| ~ algorithm(X3) ),
inference(cnf_transformation,[],[f26]) ).
fof(f73,plain,
( spl11_3
| spl11_2 ),
inference(avatar_split_clause,[],[f43,f67,f71]) ).
fof(f43,plain,
! [X2,X3,X1] :
( decides(sK3,X1,X2)
| ~ program(X1)
| program(sK4(X3))
| ~ algorithm(X3) ),
inference(cnf_transformation,[],[f26]) ).
fof(f69,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f44,f67,f64]) ).
fof(f44,plain,
! [X2,X3,X1] :
( decides(sK3,X1,X2)
| ~ program(X1)
| ~ decides(X3,sK4(X3),sK5(X3))
| ~ algorithm(X3) ),
inference(cnf_transformation,[],[f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.16 % Problem : COM003+3 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.18 % 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
% 0.13/0.39 % Computer : n017.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8042.1875MB
% 0.13/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Fri May 3 21:23:38 EDT 2024
% 0.13/0.39 % CPUTime :
% 0.13/0.39 This is a FOF_THM_RFO_NEQ problem
% 0.13/0.39 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.dz7i7EihL1/Vampire---4.8_11987
% 0.58/0.84 % (12099)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.58/0.84 % (12102)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.58/0.84 % (12101)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.58/0.84 % (12098)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.58/0.84 % (12100)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.58/0.84 % (12097)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.58/0.84 % (12095)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.58/0.84 % (12096)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.58/0.84 % (12102)Refutation not found, incomplete strategy% (12102)------------------------------
% 0.58/0.84 % (12102)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.84 % (12102)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.84 % (12100)Refutation not found, incomplete strategy% (12100)------------------------------
% 0.58/0.84 % (12100)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.84
% 0.58/0.84 % (12102)Memory used [KB]: 955
% 0.58/0.84 % (12100)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.84
% 0.58/0.84 % (12100)Memory used [KB]: 956
% 0.58/0.84 % (12100)Time elapsed: 0.003 s
% 0.58/0.84 % (12102)Time elapsed: 0.003 s
% 0.58/0.84 % (12100)Instructions burned: 2 (million)
% 0.58/0.84 % (12102)Instructions burned: 2 (million)
% 0.58/0.84 % (12098)Refutation not found, incomplete strategy% (12098)------------------------------
% 0.58/0.84 % (12098)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.84 % (12098)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.84
% 0.58/0.84 % (12098)Memory used [KB]: 961
% 0.58/0.84 % (12098)Time elapsed: 0.003 s
% 0.58/0.84 % (12098)Instructions burned: 2 (million)
% 0.58/0.84 % (12102)------------------------------
% 0.58/0.84 % (12102)------------------------------
% 0.58/0.84 % (12100)------------------------------
% 0.58/0.84 % (12100)------------------------------
% 0.58/0.84 % (12098)------------------------------
% 0.58/0.84 % (12098)------------------------------
% 0.58/0.84 % (12099)Refutation not found, incomplete strategy% (12099)------------------------------
% 0.58/0.84 % (12099)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.84 % (12099)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.84
% 0.58/0.84 % (12099)Memory used [KB]: 1048
% 0.58/0.84 % (12099)Time elapsed: 0.003 s
% 0.58/0.84 % (12099)Instructions burned: 3 (million)
% 0.58/0.84 % (12099)------------------------------
% 0.58/0.84 % (12099)------------------------------
% 0.58/0.84 % (12101)Refutation not found, incomplete strategy% (12101)------------------------------
% 0.58/0.84 % (12101)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.84 % (12101)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.84
% 0.58/0.84 % (12101)Memory used [KB]: 1053
% 0.58/0.84 % (12101)Time elapsed: 0.004 s
% 0.58/0.84 % (12101)Instructions burned: 4 (million)
% 0.58/0.84 % (12101)------------------------------
% 0.58/0.84 % (12101)------------------------------
% 0.58/0.84 % (12097)First to succeed.
% 0.58/0.84 % (12105)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.58/0.84 % (12106)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.58/0.84 % (12104)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.58/0.84 % (12107)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.58/0.84 % (12103)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.58/0.85 % (12107)Refutation not found, incomplete strategy% (12107)------------------------------
% 0.58/0.85 % (12107)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.85 % (12107)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.85
% 0.58/0.85 % (12107)Memory used [KB]: 1051
% 0.58/0.85 % (12107)Time elapsed: 0.003 s
% 0.58/0.85 % (12107)Instructions burned: 3 (million)
% 0.58/0.85 % (12107)------------------------------
% 0.58/0.85 % (12107)------------------------------
% 0.58/0.85 % (12096)Also succeeded, but the first one will report.
% 0.58/0.85 % (12103)Refutation not found, incomplete strategy% (12103)------------------------------
% 0.58/0.85 % (12103)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.85 % (12103)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.85 % (12097)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12094"
% 0.58/0.85
% 0.58/0.85 % (12103)Memory used [KB]: 1066
% 0.58/0.85 % (12103)Time elapsed: 0.004 s
% 0.58/0.85 % (12103)Instructions burned: 5 (million)
% 0.58/0.85 % (12103)------------------------------
% 0.58/0.85 % (12103)------------------------------
% 0.58/0.85 % (12097)Refutation found. Thanks to Tanya!
% 0.58/0.85 % SZS status Theorem for Vampire---4
% 0.58/0.85 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.85 % (12097)------------------------------
% 0.58/0.85 % (12097)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.85 % (12097)Termination reason: Refutation
% 0.58/0.85
% 0.58/0.85 % (12097)Memory used [KB]: 1147
% 0.58/0.85 % (12097)Time elapsed: 0.010 s
% 0.58/0.85 % (12097)Instructions burned: 15 (million)
% 0.58/0.85 % (12094)Success in time 0.445 s
% 0.58/0.85 % Vampire---4.8 exiting
%------------------------------------------------------------------------------