TSTP Solution File: GEO127+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO127+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 02:22:11 EDT 2024
% Result : Theorem 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 25
% Syntax : Number of formulae : 108 ( 14 unt; 0 def)
% Number of atoms : 392 ( 16 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 441 ( 157 ~; 156 |; 88 &)
% ( 24 <=>; 15 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 10 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 181 ( 141 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f436,plain,
$false,
inference(avatar_sat_refutation,[],[f246,f250,f259,f330,f345,f352,f390,f427,f431,f435]) ).
fof(f435,plain,
( ~ spl25_3
| ~ spl25_6
| ~ spl25_11 ),
inference(avatar_contradiction_clause,[],[f432]) ).
fof(f432,plain,
( $false
| ~ spl25_3
| ~ spl25_6
| ~ spl25_11 ),
inference(resolution,[],[f426,f404]) ).
fof(f404,plain,
( ~ end_point(sK23,sK14(sK22))
| ~ spl25_3
| ~ spl25_6 ),
inference(superposition,[],[f262,f376]) ).
fof(f376,plain,
( sK23 = sK7(sK14(sK22))
| ~ spl25_3
| ~ spl25_6 ),
inference(resolution,[],[f358,f268]) ).
fof(f268,plain,
! [X0] : incident_o(sK7(sK14(X0)),X0),
inference(resolution,[],[f213,f261]) ).
fof(f261,plain,
! [X0] : incident_c(sK7(X0),X0),
inference(resolution,[],[f170,f185]) ).
fof(f185,plain,
! [X0] : inner_point(sK7(X0),X0),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] : inner_point(sK7(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f37,f109]) ).
fof(f109,plain,
! [X0] :
( ? [X1] : inner_point(X1,X0)
=> inner_point(sK7(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0] :
? [X1] : inner_point(X1,X0),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0] :
? [X2] : inner_point(X2,X0),
file('/export/starexec/sandbox2/tmp/tmp.GQ9xOifRWa/Vampire---4.8_30101',c3) ).
fof(f170,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ( inner_point(X0,X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) )
& ( ( ~ end_point(X0,X1)
& incident_c(X0,X1) )
| ~ inner_point(X0,X1) ) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ( inner_point(X0,X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) )
& ( ( ~ end_point(X0,X1)
& incident_c(X0,X1) )
| ~ inner_point(X0,X1) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( inner_point(X0,X1)
<=> ( ~ end_point(X0,X1)
& incident_c(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0] :
( inner_point(X2,X0)
<=> ( ~ end_point(X2,X0)
& incident_c(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GQ9xOifRWa/Vampire---4.8_30101',inner_point_defn) ).
fof(f213,plain,
! [X2,X0] :
( ~ incident_c(X2,sK14(X0))
| incident_o(X2,X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X2] :
( ( incident_o(X2,X0)
| ~ incident_c(X2,sK14(X0)) )
& ( incident_c(X2,sK14(X0))
| ~ incident_o(X2,X0) ) )
& open(sK14(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f128,f129]) ).
fof(f129,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ( incident_o(X2,X0)
| ~ incident_c(X2,X1) )
& ( incident_c(X2,X1)
| ~ incident_o(X2,X0) ) )
& open(X1) )
=> ( ! [X2] :
( ( incident_o(X2,X0)
| ~ incident_c(X2,sK14(X0)) )
& ( incident_c(X2,sK14(X0))
| ~ incident_o(X2,X0) ) )
& open(sK14(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0] :
? [X1] :
( ! [X2] :
( ( incident_o(X2,X0)
| ~ incident_c(X2,X1) )
& ( incident_c(X2,X1)
| ~ incident_o(X2,X0) ) )
& open(X1) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
? [X1] :
( ! [X2] :
( incident_o(X2,X0)
<=> incident_c(X2,X1) )
& open(X1) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X8] :
? [X0] :
( ! [X2] :
( incident_o(X2,X8)
<=> incident_c(X2,X0) )
& open(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.GQ9xOifRWa/Vampire---4.8_30101',o2) ).
fof(f358,plain,
( ! [X0] :
( ~ incident_o(X0,sK22)
| sK23 = X0 )
| ~ spl25_3
| ~ spl25_6 ),
inference(resolution,[],[f353,f249]) ).
fof(f249,plain,
( ! [X2] : ~ ordered_by(sK22,sK23,X2)
| ~ spl25_3 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl25_3
<=> ! [X2] : ~ ordered_by(sK22,sK23,X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_3])]) ).
fof(f353,plain,
( ! [X0] :
( ordered_by(sK22,sK23,X0)
| sK23 = X0
| ~ incident_o(X0,sK22) )
| ~ spl25_6 ),
inference(superposition,[],[f320,f329]) ).
fof(f329,plain,
( sK23 = sK17(sK22)
| ~ spl25_6 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f327,plain,
( spl25_6
<=> sK23 = sK17(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_6])]) ).
fof(f320,plain,
! [X0,X1] :
( ordered_by(X1,sK17(X1),X0)
| sK17(X1) = X0
| ~ incident_o(X0,X1) ),
inference(resolution,[],[f208,f219]) ).
fof(f219,plain,
! [X0] : start_point(sK17(X0),X0),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] : start_point(sK17(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f50,f136]) ).
fof(f136,plain,
! [X0] :
( ? [X1] : start_point(X1,X0)
=> start_point(sK17(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0] :
? [X1] : start_point(X1,X0),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X8] :
? [X2] : start_point(X2,X8),
file('/export/starexec/sandbox2/tmp/tmp.GQ9xOifRWa/Vampire---4.8_30101',o4) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ start_point(X0,X1)
| ~ incident_o(X2,X1)
| X0 = X2
| ordered_by(X1,X0,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( ! [X2] :
( ordered_by(X1,X0,X2)
| ~ incident_o(X2,X1)
| X0 = X2 )
& incident_o(X0,X1) )
| ~ start_point(X0,X1) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( ! [X2] :
( ordered_by(X1,X0,X2)
| ~ incident_o(X2,X1)
| X0 = X2 )
& incident_o(X0,X1) )
| ~ start_point(X0,X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( start_point(X0,X1)
=> ( ! [X2] :
( ( incident_o(X2,X1)
& X0 != X2 )
=> ordered_by(X1,X0,X2) )
& incident_o(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( start_point(X0,X1)
<=> ( ! [X2] :
( ( incident_o(X2,X1)
& X0 != X2 )
=> ordered_by(X1,X0,X2) )
& incident_o(X0,X1) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X2,X8] :
( start_point(X2,X8)
<=> ( ! [X4] :
( ( incident_o(X4,X8)
& X2 != X4 )
=> ordered_by(X8,X2,X4) )
& incident_o(X2,X8) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GQ9xOifRWa/Vampire---4.8_30101',start_point_defn) ).
fof(f262,plain,
! [X0] : ~ end_point(sK7(X0),X0),
inference(resolution,[],[f171,f185]) ).
fof(f171,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f426,plain,
( end_point(sK23,sK14(sK22))
| ~ spl25_11 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f424,plain,
( spl25_11
<=> end_point(sK23,sK14(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_11])]) ).
fof(f431,plain,
spl25_7,
inference(avatar_contradiction_clause,[],[f428]) ).
fof(f428,plain,
( $false
| spl25_7 ),
inference(resolution,[],[f385,f211]) ).
fof(f211,plain,
! [X0] : open(sK14(X0)),
inference(cnf_transformation,[],[f130]) ).
fof(f385,plain,
( ~ open(sK14(sK22))
| spl25_7 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f383,plain,
( spl25_7
<=> open(sK14(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_7])]) ).
fof(f427,plain,
( ~ spl25_7
| spl25_11
| ~ spl25_8 ),
inference(avatar_split_clause,[],[f422,f387,f424,f383]) ).
fof(f387,plain,
( spl25_8
<=> sK23 = sK6(sK14(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_8])]) ).
fof(f422,plain,
( end_point(sK23,sK14(sK22))
| ~ open(sK14(sK22))
| ~ spl25_8 ),
inference(superposition,[],[f181,f389]) ).
fof(f389,plain,
( sK23 = sK6(sK14(sK22))
| ~ spl25_8 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f181,plain,
! [X0] :
( end_point(sK6(X0),X0)
| ~ open(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ( open(X0)
| ! [X1] : ~ end_point(X1,X0) )
& ( end_point(sK6(X0),X0)
| ~ open(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f106,f107]) ).
fof(f107,plain,
! [X0] :
( ? [X2] : end_point(X2,X0)
=> end_point(sK6(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0] :
( ( open(X0)
| ! [X1] : ~ end_point(X1,X0) )
& ( ? [X2] : end_point(X2,X0)
| ~ open(X0) ) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ( open(X0)
| ! [X1] : ~ end_point(X1,X0) )
& ( ? [X1] : end_point(X1,X0)
| ~ open(X0) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( open(X0)
<=> ? [X1] : end_point(X1,X0) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( open(X0)
<=> ? [X2] : end_point(X2,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.GQ9xOifRWa/Vampire---4.8_30101',open_defn) ).
fof(f390,plain,
( ~ spl25_7
| spl25_8
| ~ spl25_3
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f374,f327,f248,f387,f383]) ).
fof(f374,plain,
( sK23 = sK6(sK14(sK22))
| ~ open(sK14(sK22))
| ~ spl25_3
| ~ spl25_6 ),
inference(resolution,[],[f358,f269]) ).
fof(f269,plain,
! [X0] :
( incident_o(sK6(sK14(X0)),X0)
| ~ open(sK14(X0)) ),
inference(resolution,[],[f213,f263]) ).
fof(f263,plain,
! [X0] :
( incident_c(sK6(X0),X0)
| ~ open(X0) ),
inference(resolution,[],[f181,f162]) ).
fof(f162,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ( ~ part_of(sK3(X0,X1),sK2(X0,X1))
& ~ part_of(sK2(X0,X1),sK3(X0,X1))
& incident_c(X0,sK3(X0,X1))
& incident_c(X0,sK2(X0,X1))
& part_of(sK3(X0,X1),X1)
& part_of(sK2(X0,X1),X1) )
| ~ incident_c(X0,X1) )
& ( ( ! [X4,X5] :
( part_of(X5,X4)
| part_of(X4,X5)
| ~ incident_c(X0,X5)
| ~ incident_c(X0,X4)
| ~ part_of(X5,X1)
| ~ part_of(X4,X1) )
& incident_c(X0,X1) )
| ~ end_point(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f93,f94]) ).
fof(f94,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ part_of(X3,X2)
& ~ part_of(X2,X3)
& incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1) )
=> ( ~ part_of(sK3(X0,X1),sK2(X0,X1))
& ~ part_of(sK2(X0,X1),sK3(X0,X1))
& incident_c(X0,sK3(X0,X1))
& incident_c(X0,sK2(X0,X1))
& part_of(sK3(X0,X1),X1)
& part_of(sK2(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ? [X2,X3] :
( ~ part_of(X3,X2)
& ~ part_of(X2,X3)
& incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1) )
| ~ incident_c(X0,X1) )
& ( ( ! [X4,X5] :
( part_of(X5,X4)
| part_of(X4,X5)
| ~ incident_c(X0,X5)
| ~ incident_c(X0,X4)
| ~ part_of(X5,X1)
| ~ part_of(X4,X1) )
& incident_c(X0,X1) )
| ~ end_point(X0,X1) ) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ? [X2,X3] :
( ~ part_of(X3,X2)
& ~ part_of(X2,X3)
& incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1) )
| ~ incident_c(X0,X1) )
& ( ( ! [X2,X3] :
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1) )
& incident_c(X0,X1) )
| ~ end_point(X0,X1) ) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ? [X2,X3] :
( ~ part_of(X3,X2)
& ~ part_of(X2,X3)
& incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1) )
| ~ incident_c(X0,X1) )
& ( ( ! [X2,X3] :
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1) )
& incident_c(X0,X1) )
| ~ end_point(X0,X1) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( ! [X2,X3] :
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1) )
& incident_c(X0,X1) ) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( ! [X2,X3] :
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1) )
& incident_c(X0,X1) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( ! [X2,X3] :
( ( incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1) )
=> ( part_of(X3,X2)
| part_of(X2,X3) ) )
& incident_c(X0,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X0] :
( end_point(X2,X0)
<=> ( ! [X1,X3] :
( ( incident_c(X2,X3)
& incident_c(X2,X1)
& part_of(X3,X0)
& part_of(X1,X0) )
=> ( part_of(X3,X1)
| part_of(X1,X3) ) )
& incident_c(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GQ9xOifRWa/Vampire---4.8_30101',end_point_defn) ).
fof(f352,plain,
( spl25_1
| ~ spl25_4 ),
inference(avatar_split_clause,[],[f350,f252,f240]) ).
fof(f240,plain,
( spl25_1
<=> incident_o(sK23,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).
fof(f252,plain,
( spl25_4
<=> ordered_by(sK22,sK23,sK24) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_4])]) ).
fof(f350,plain,
( incident_o(sK23,sK22)
| ~ spl25_4 ),
inference(resolution,[],[f254,f209]) ).
fof(f209,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| incident_o(X1,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ( incident_o(X2,X0)
& incident_o(X1,X0) )
| ~ ordered_by(X0,X1,X2) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ordered_by(X0,X1,X2)
=> ( incident_o(X2,X0)
& incident_o(X1,X0) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X8,X2,X4] :
( ordered_by(X8,X2,X4)
=> ( incident_o(X4,X8)
& incident_o(X2,X8) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GQ9xOifRWa/Vampire---4.8_30101',o1) ).
fof(f254,plain,
( ordered_by(sK22,sK23,sK24)
| ~ spl25_4 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f345,plain,
( spl25_1
| ~ spl25_5 ),
inference(avatar_split_clause,[],[f342,f256,f240]) ).
fof(f256,plain,
( spl25_5
<=> ordered_by(sK22,sK24,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_5])]) ).
fof(f342,plain,
( incident_o(sK23,sK22)
| ~ spl25_5 ),
inference(resolution,[],[f258,f210]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| incident_o(X2,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f258,plain,
( ordered_by(sK22,sK24,sK23)
| ~ spl25_5 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f330,plain,
( ~ spl25_1
| spl25_6
| ~ spl25_2 ),
inference(avatar_split_clause,[],[f321,f244,f327,f240]) ).
fof(f244,plain,
( spl25_2
<=> ! [X2] : ~ ordered_by(sK22,X2,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).
fof(f321,plain,
( sK23 = sK17(sK22)
| ~ incident_o(sK23,sK22)
| ~ spl25_2 ),
inference(resolution,[],[f320,f245]) ).
fof(f245,plain,
( ! [X2] : ~ ordered_by(sK22,X2,sK23)
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f259,plain,
( spl25_1
| spl25_4
| spl25_5 ),
inference(avatar_split_clause,[],[f229,f256,f252,f240]) ).
fof(f229,plain,
( ordered_by(sK22,sK24,sK23)
| ordered_by(sK22,sK23,sK24)
| incident_o(sK23,sK22) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( ! [X2] :
( ~ ordered_by(sK22,X2,sK23)
& ~ ordered_by(sK22,sK23,X2) )
| ~ incident_o(sK23,sK22) )
& ( ordered_by(sK22,sK24,sK23)
| ordered_by(sK22,sK23,sK24)
| incident_o(sK23,sK22) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24])],[f149,f151,f150]) ).
fof(f150,plain,
( ? [X0,X1] :
( ( ! [X2] :
( ~ ordered_by(X0,X2,X1)
& ~ ordered_by(X0,X1,X2) )
| ~ incident_o(X1,X0) )
& ( ? [X3] :
( ordered_by(X0,X3,X1)
| ordered_by(X0,X1,X3) )
| incident_o(X1,X0) ) )
=> ( ( ! [X2] :
( ~ ordered_by(sK22,X2,sK23)
& ~ ordered_by(sK22,sK23,X2) )
| ~ incident_o(sK23,sK22) )
& ( ? [X3] :
( ordered_by(sK22,X3,sK23)
| ordered_by(sK22,sK23,X3) )
| incident_o(sK23,sK22) ) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
( ? [X3] :
( ordered_by(sK22,X3,sK23)
| ordered_by(sK22,sK23,X3) )
=> ( ordered_by(sK22,sK24,sK23)
| ordered_by(sK22,sK23,sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
? [X0,X1] :
( ( ! [X2] :
( ~ ordered_by(X0,X2,X1)
& ~ ordered_by(X0,X1,X2) )
| ~ incident_o(X1,X0) )
& ( ? [X3] :
( ordered_by(X0,X3,X1)
| ordered_by(X0,X1,X3) )
| incident_o(X1,X0) ) ),
inference(rectify,[],[f148]) ).
fof(f148,plain,
? [X0,X1] :
( ( ! [X2] :
( ~ ordered_by(X0,X2,X1)
& ~ ordered_by(X0,X1,X2) )
| ~ incident_o(X1,X0) )
& ( ? [X2] :
( ordered_by(X0,X2,X1)
| ordered_by(X0,X1,X2) )
| incident_o(X1,X0) ) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
? [X0,X1] :
( incident_o(X1,X0)
<~> ? [X2] :
( ordered_by(X0,X2,X1)
| ordered_by(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
~ ! [X0,X1] :
( incident_o(X1,X0)
<=> ? [X2] :
( ordered_by(X0,X2,X1)
| ordered_by(X0,X1,X2) ) ),
inference(rectify,[],[f29]) ).
fof(f29,negated_conjecture,
~ ! [X8,X2] :
( incident_o(X2,X8)
<=> ? [X4] :
( ordered_by(X8,X4,X2)
| ordered_by(X8,X2,X4) ) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
! [X8,X2] :
( incident_o(X2,X8)
<=> ? [X4] :
( ordered_by(X8,X4,X2)
| ordered_by(X8,X2,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GQ9xOifRWa/Vampire---4.8_30101',theorem_4_12) ).
fof(f250,plain,
( ~ spl25_1
| spl25_3 ),
inference(avatar_split_clause,[],[f230,f248,f240]) ).
fof(f230,plain,
! [X2] :
( ~ ordered_by(sK22,sK23,X2)
| ~ incident_o(sK23,sK22) ),
inference(cnf_transformation,[],[f152]) ).
fof(f246,plain,
( ~ spl25_1
| spl25_2 ),
inference(avatar_split_clause,[],[f231,f244,f240]) ).
fof(f231,plain,
! [X2] :
( ~ ordered_by(sK22,X2,sK23)
| ~ incident_o(sK23,sK22) ),
inference(cnf_transformation,[],[f152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO127+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 19:12:14 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.GQ9xOifRWa/Vampire---4.8_30101
% 0.60/0.78 % (30375)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)
% 0.60/0.78 % (30377)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)
% 0.60/0.78 % (30377)Refutation not found, incomplete strategy% (30377)------------------------------
% 0.60/0.78 % (30377)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (30377)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (30377)Memory used [KB]: 1058
% 0.60/0.78 % (30375)Refutation not found, incomplete strategy% (30375)------------------------------
% 0.60/0.78 % (30375)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (30375)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (30375)Memory used [KB]: 1061
% 0.60/0.78 % (30375)Time elapsed: 0.002 s
% 0.60/0.78 % (30375)Instructions burned: 2 (million)
% 0.60/0.78 % (30375)------------------------------
% 0.60/0.78 % (30375)------------------------------
% 0.60/0.78 % (30377)Time elapsed: 0.002 s
% 0.60/0.78 % (30377)Instructions burned: 2 (million)
% 0.60/0.78 % (30377)------------------------------
% 0.60/0.78 % (30377)------------------------------
% 0.60/0.78 % (30370)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)
% 0.60/0.78 % (30372)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78 % (30371)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)
% 0.60/0.78 % (30373)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)
% 0.60/0.78 % (30374)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)
% 0.60/0.78 % (30376)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)
% 0.60/0.78 % (30376)Refutation not found, incomplete strategy% (30376)------------------------------
% 0.60/0.78 % (30376)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (30376)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (30376)Memory used [KB]: 1061
% 0.60/0.78 % (30373)Refutation not found, incomplete strategy% (30373)------------------------------
% 0.60/0.78 % (30373)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (30376)Time elapsed: 0.003 s
% 0.60/0.78 % (30376)Instructions burned: 3 (million)
% 0.60/0.78 % (30376)------------------------------
% 0.60/0.78 % (30376)------------------------------
% 0.60/0.78 % (30373)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (30373)Memory used [KB]: 1083
% 0.60/0.78 % (30373)Time elapsed: 0.003 s
% 0.60/0.78 % (30373)Instructions burned: 3 (million)
% 0.60/0.78 % (30373)------------------------------
% 0.60/0.78 % (30373)------------------------------
% 0.60/0.78 % (30378)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)
% 0.60/0.78 % (30379)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)
% 0.60/0.78 % (30370)Refutation not found, incomplete strategy% (30370)------------------------------
% 0.60/0.78 % (30370)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (30370)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (30370)Memory used [KB]: 1091
% 0.60/0.78 % (30370)Time elapsed: 0.005 s
% 0.60/0.78 % (30370)Instructions burned: 5 (million)
% 0.60/0.78 % (30370)------------------------------
% 0.60/0.78 % (30370)------------------------------
% 0.60/0.78 % (30374)Refutation not found, incomplete strategy% (30374)------------------------------
% 0.60/0.78 % (30374)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (30374)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (30374)Memory used [KB]: 1162
% 0.60/0.78 % (30374)Time elapsed: 0.005 s
% 0.60/0.78 % (30374)Instructions burned: 6 (million)
% 0.60/0.78 % (30374)------------------------------
% 0.60/0.78 % (30374)------------------------------
% 0.60/0.78 % (30378)Refutation not found, incomplete strategy% (30378)------------------------------
% 0.60/0.78 % (30378)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (30378)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (30378)Memory used [KB]: 1083
% 0.60/0.78 % (30378)Time elapsed: 0.002 s
% 0.60/0.78 % (30378)Instructions burned: 3 (million)
% 0.60/0.78 % (30378)------------------------------
% 0.60/0.78 % (30378)------------------------------
% 0.60/0.78 % (30380)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)
% 0.60/0.78 % (30383)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.60/0.78 % (30381)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)
% 0.60/0.78 % (30382)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)
% 0.60/0.78 % (30384)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.60/0.78 % (30371)First to succeed.
% 0.60/0.79 % (30372)Also succeeded, but the first one will report.
% 0.60/0.79 % (30371)Refutation found. Thanks to Tanya!
% 0.60/0.79 % SZS status Theorem for Vampire---4
% 0.60/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79 % (30371)------------------------------
% 0.60/0.79 % (30371)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (30371)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (30371)Memory used [KB]: 1227
% 0.60/0.79 % (30371)Time elapsed: 0.012 s
% 0.60/0.79 % (30371)Instructions burned: 16 (million)
% 0.60/0.79 % (30371)------------------------------
% 0.60/0.79 % (30371)------------------------------
% 0.60/0.79 % (30283)Success in time 0.414 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------