TSTP Solution File: SEV521+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV521+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n016.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 : Thu Aug 31 19:42:09 EDT 2023
% Result : Theorem 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 19
% Syntax : Number of formulae : 114 ( 9 unt; 0 def)
% Number of atoms : 415 ( 33 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 467 ( 166 ~; 177 |; 84 &)
% ( 14 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 186 (; 142 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f577,plain,
$false,
inference(avatar_sat_refutation,[],[f412,f490,f516,f535,f557,f563,f574]) ).
fof(f574,plain,
~ spl14_6,
inference(avatar_contradiction_clause,[],[f567]) ).
fof(f567,plain,
( $false
| ~ spl14_6 ),
inference(resolution,[],[f552,f143]) ).
fof(f143,plain,
member(sK1,sF13),
inference(superposition,[],[f138,f141]) ).
fof(f141,plain,
singleton(sK1) = sF13,
introduced(function_definition,[]) ).
fof(f138,plain,
! [X1] : member(X1,singleton(X1)),
inference(equality_resolution,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( member(X0,singleton(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ( member(X0,singleton(X1))
| X0 != X1 )
& ( X0 = X1
| ~ member(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( member(X0,singleton(X1))
<=> X0 = X1 ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X0] :
( member(X2,singleton(X0))
<=> X0 = X2 ),
file('/export/starexec/sandbox/tmp/tmp.1hxJMT0xe0/Vampire---4.8_16213',singleton) ).
fof(f552,plain,
( ! [X0] : ~ member(X0,sF13)
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f551,plain,
( spl14_6
<=> ! [X0] : ~ member(X0,sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f563,plain,
spl14_7,
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f562,plain,
( $false
| spl14_7 ),
inference(subsumption_resolution,[],[f560,f556]) ).
fof(f556,plain,
( ~ subset(sK1,sK1)
| spl14_7 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f554,plain,
( spl14_7
<=> subset(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f560,plain,
( subset(sK1,sK1)
| spl14_7 ),
inference(resolution,[],[f559,f93]) ).
fof(f93,plain,
! [X0,X1] :
( ~ member(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f50,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.1hxJMT0xe0/Vampire---4.8_16213',subset) ).
fof(f559,plain,
( member(sK2(sK1,sK1),sK1)
| spl14_7 ),
inference(resolution,[],[f556,f92]) ).
fof(f92,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f557,plain,
( spl14_6
| ~ spl14_7
| ~ spl14_3
| ~ spl14_4
| spl14_5 ),
inference(avatar_split_clause,[],[f549,f409,f405,f401,f554,f551]) ).
fof(f401,plain,
( spl14_3
<=> member(sK7(sF13,sK1),sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f405,plain,
( spl14_4
<=> member(sK6(sF13,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f409,plain,
( spl14_5
<=> sP0(sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f549,plain,
( ! [X0] :
( ~ subset(sK1,sK1)
| ~ member(X0,sF13) )
| ~ spl14_3
| ~ spl14_4
| spl14_5 ),
inference(subsumption_resolution,[],[f526,f537]) ).
fof(f537,plain,
( ! [X0] :
( ~ member(X0,sF13)
| member(sK6(sF13,sK1),X0) )
| ~ spl14_4 ),
inference(resolution,[],[f407,f241]) ).
fof(f241,plain,
! [X3,X4] :
( ~ member(X3,sK1)
| ~ member(X4,sF13)
| member(X3,X4) ),
inference(subsumption_resolution,[],[f240,f111]) ).
fof(f111,plain,
! [X3,X0,X1] :
( ~ member(X0,product(X1))
| ~ member(X3,X1)
| member(X0,X3) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ( member(X0,product(X1))
| ( ~ member(X0,sK11(X0,X1))
& member(sK11(X0,X1),X1) ) )
& ( ! [X3] :
( member(X0,X3)
| ~ member(X3,X1) )
| ~ member(X0,product(X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f70,f71]) ).
fof(f71,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X0,X2)
& member(X2,X1) )
=> ( ~ member(X0,sK11(X0,X1))
& member(sK11(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0,X1] :
( ( member(X0,product(X1))
| ? [X2] :
( ~ member(X0,X2)
& member(X2,X1) ) )
& ( ! [X3] :
( member(X0,X3)
| ~ member(X3,X1) )
| ~ member(X0,product(X1)) ) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ( member(X0,product(X1))
| ? [X2] :
( ~ member(X0,X2)
& member(X2,X1) ) )
& ( ! [X2] :
( member(X0,X2)
| ~ member(X2,X1) )
| ~ member(X0,product(X1)) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( member(X0,product(X1))
<=> ! [X2] :
( member(X0,X2)
| ~ member(X2,X1) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( member(X0,product(X1))
<=> ! [X2] :
( member(X2,X1)
=> member(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X2,X0] :
( member(X2,product(X0))
<=> ! [X4] :
( member(X4,X0)
=> member(X2,X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.1hxJMT0xe0/Vampire---4.8_16213',product) ).
fof(f240,plain,
! [X3,X4] :
( ~ member(X3,sK1)
| member(X3,product(sF13))
| ~ member(X4,sF13)
| member(X3,X4) ),
inference(superposition,[],[f113,f200]) ).
fof(f200,plain,
! [X52,X53] :
( sK1 = sK11(X52,sF13)
| ~ member(X53,sF13)
| member(X52,X53) ),
inference(resolution,[],[f154,f145]) ).
fof(f145,plain,
! [X0] :
( ~ member(X0,sF13)
| sK1 = X0 ),
inference(superposition,[],[f117,f141]) ).
fof(f117,plain,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f77]) ).
fof(f154,plain,
! [X2,X0,X1] :
( member(sK11(X2,X1),X1)
| member(X2,X0)
| ~ member(X0,X1) ),
inference(resolution,[],[f111,f112]) ).
fof(f112,plain,
! [X0,X1] :
( member(X0,product(X1))
| member(sK11(X0,X1),X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f113,plain,
! [X0,X1] :
( ~ member(X0,sK11(X0,X1))
| member(X0,product(X1)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f407,plain,
( member(sK6(sF13,sK1),sK1)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f526,plain,
( ! [X0] :
( ~ subset(sK1,sK1)
| ~ member(sK6(sF13,sK1),X0)
| ~ member(X0,sF13) )
| ~ spl14_3
| spl14_5 ),
inference(subsumption_resolution,[],[f525,f142]) ).
fof(f142,plain,
~ partition(sF13,sK1),
inference(definition_folding,[],[f89,f141]) ).
fof(f89,plain,
~ partition(singleton(sK1),sK1),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ~ partition(singleton(sK1),sK1)
& empty_set != sK1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f40,f47]) ).
fof(f47,plain,
( ? [X0] :
( ~ partition(singleton(X0),X0)
& empty_set != X0 )
=> ( ~ partition(singleton(sK1),sK1)
& empty_set != sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
? [X0] :
( ~ partition(singleton(X0),X0)
& empty_set != X0 ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X0] :
( empty_set != X0
=> partition(singleton(X0),X0) ),
inference(rectify,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X3] :
( empty_set != X3
=> partition(singleton(X3),X3) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X3] :
( empty_set != X3
=> partition(singleton(X3),X3) ),
file('/export/starexec/sandbox/tmp/tmp.1hxJMT0xe0/Vampire---4.8_16213',set_partitions_itself) ).
fof(f525,plain,
( ! [X0] :
( ~ subset(sK1,sK1)
| ~ member(sK6(sF13,sK1),X0)
| ~ member(X0,sF13)
| partition(sF13,sK1) )
| ~ spl14_3
| spl14_5 ),
inference(subsumption_resolution,[],[f523,f410]) ).
fof(f410,plain,
( ~ sP0(sF13)
| spl14_5 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f523,plain,
( ! [X0] :
( ~ subset(sK1,sK1)
| sP0(sF13)
| ~ member(sK6(sF13,sK1),X0)
| ~ member(X0,sF13)
| partition(sF13,sK1) )
| ~ spl14_3 ),
inference(superposition,[],[f102,f520]) ).
fof(f520,plain,
( sK1 = sK7(sF13,sK1)
| ~ spl14_3 ),
inference(resolution,[],[f403,f145]) ).
fof(f403,plain,
( member(sK7(sF13,sK1),sF13)
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f102,plain,
! [X3,X0,X1] :
( ~ subset(sK7(X0,X1),X1)
| sP0(X0)
| ~ member(sK6(X0,X1),X3)
| ~ member(X3,X0)
| partition(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( partition(X0,X1)
| sP0(X0)
| ( ! [X3] :
( ~ member(sK6(X0,X1),X3)
| ~ member(X3,X0) )
& member(sK6(X0,X1),X1) )
| ( ~ subset(sK7(X0,X1),X1)
& member(sK7(X0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f58,f60,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ? [X2] :
( ! [X3] :
( ~ member(X2,X3)
| ~ member(X3,X0) )
& member(X2,X1) )
=> ( ! [X3] :
( ~ member(sK6(X0,X1),X3)
| ~ member(X3,X0) )
& member(sK6(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0,X1] :
( ? [X4] :
( ~ subset(X4,X1)
& member(X4,X0) )
=> ( ~ subset(sK7(X0,X1),X1)
& member(sK7(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0,X1] :
( partition(X0,X1)
| sP0(X0)
| ? [X2] :
( ! [X3] :
( ~ member(X2,X3)
| ~ member(X3,X0) )
& member(X2,X1) )
| ? [X4] :
( ~ subset(X4,X1)
& member(X4,X0) ) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( partition(X0,X1)
| sP0(X0)
| ? [X5] :
( ! [X6] :
( ~ member(X5,X6)
| ~ member(X6,X0) )
& member(X5,X1) )
| ? [X7] :
( ~ subset(X7,X1)
& member(X7,X0) ) ),
inference(definition_folding,[],[f43,f45]) ).
fof(f45,plain,
! [X0] :
( ? [X2,X3] :
( X2 != X3
& ? [X4] :
( member(X4,X3)
& member(X4,X2) )
& member(X3,X0)
& member(X2,X0) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f43,plain,
! [X0,X1] :
( partition(X0,X1)
| ? [X2,X3] :
( X2 != X3
& ? [X4] :
( member(X4,X3)
& member(X4,X2) )
& member(X3,X0)
& member(X2,X0) )
| ? [X5] :
( ! [X6] :
( ~ member(X5,X6)
| ~ member(X6,X0) )
& member(X5,X1) )
| ? [X7] :
( ~ subset(X7,X1)
& member(X7,X0) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( partition(X0,X1)
| ? [X2,X3] :
( X2 != X3
& ? [X4] :
( member(X4,X3)
& member(X4,X2) )
& member(X3,X0)
& member(X2,X0) )
| ? [X5] :
( ! [X6] :
( ~ member(X5,X6)
| ~ member(X6,X0) )
& member(X5,X1) )
| ? [X7] :
( ~ subset(X7,X1)
& member(X7,X0) ) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( ! [X2,X3] :
( ( member(X3,X0)
& member(X2,X0) )
=> ( ? [X4] :
( member(X4,X3)
& member(X4,X2) )
=> X2 = X3 ) )
& ! [X5] :
( member(X5,X1)
=> ? [X6] :
( member(X5,X6)
& member(X6,X0) ) )
& ! [X7] :
( member(X7,X0)
=> subset(X7,X1) ) )
=> partition(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( partition(X0,X1)
<=> ( ! [X2,X3] :
( ( member(X3,X0)
& member(X2,X0) )
=> ( ? [X4] :
( member(X4,X3)
& member(X4,X2) )
=> X2 = X3 ) )
& ! [X5] :
( member(X5,X1)
=> ? [X6] :
( member(X5,X6)
& member(X6,X0) ) )
& ! [X7] :
( member(X7,X0)
=> subset(X7,X1) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X0,X3] :
( partition(X0,X3)
<=> ( ! [X2,X4] :
( ( member(X4,X0)
& member(X2,X0) )
=> ( ? [X5] :
( member(X5,X4)
& member(X5,X2) )
=> X2 = X4 ) )
& ! [X2] :
( member(X2,X3)
=> ? [X4] :
( member(X2,X4)
& member(X4,X0) ) )
& ! [X2] :
( member(X2,X0)
=> subset(X2,X3) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.1hxJMT0xe0/Vampire---4.8_16213',partition) ).
fof(f535,plain,
( ~ spl14_3
| spl14_4
| spl14_5 ),
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f534,plain,
( $false
| ~ spl14_3
| spl14_4
| spl14_5 ),
inference(subsumption_resolution,[],[f532,f529]) ).
fof(f529,plain,
( ~ subset(sK1,sK1)
| ~ spl14_3
| spl14_4
| spl14_5 ),
inference(subsumption_resolution,[],[f528,f142]) ).
fof(f528,plain,
( ~ subset(sK1,sK1)
| partition(sF13,sK1)
| ~ spl14_3
| spl14_4
| spl14_5 ),
inference(subsumption_resolution,[],[f527,f406]) ).
fof(f406,plain,
( ~ member(sK6(sF13,sK1),sK1)
| spl14_4 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f527,plain,
( ~ subset(sK1,sK1)
| member(sK6(sF13,sK1),sK1)
| partition(sF13,sK1)
| ~ spl14_3
| spl14_5 ),
inference(subsumption_resolution,[],[f524,f410]) ).
fof(f524,plain,
( ~ subset(sK1,sK1)
| sP0(sF13)
| member(sK6(sF13,sK1),sK1)
| partition(sF13,sK1)
| ~ spl14_3 ),
inference(superposition,[],[f100,f520]) ).
fof(f100,plain,
! [X0,X1] :
( ~ subset(sK7(X0,X1),X1)
| sP0(X0)
| member(sK6(X0,X1),X1)
| partition(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f532,plain,
( subset(sK1,sK1)
| ~ spl14_3
| spl14_4
| spl14_5 ),
inference(resolution,[],[f531,f93]) ).
fof(f531,plain,
( member(sK2(sK1,sK1),sK1)
| ~ spl14_3
| spl14_4
| spl14_5 ),
inference(resolution,[],[f529,f92]) ).
fof(f516,plain,
~ spl14_5,
inference(avatar_contradiction_clause,[],[f515]) ).
fof(f515,plain,
( $false
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f510,f506]) ).
fof(f506,plain,
( sK1 = sK3(sF13)
| ~ spl14_5 ),
inference(resolution,[],[f496,f145]) ).
fof(f496,plain,
( member(sK3(sF13),sF13)
| ~ spl14_5 ),
inference(resolution,[],[f411,f94]) ).
fof(f94,plain,
! [X0] :
( ~ sP0(X0)
| member(sK3(X0),X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ( sK3(X0) != sK4(X0)
& member(sK5(X0),sK4(X0))
& member(sK5(X0),sK3(X0))
& member(sK4(X0),X0)
& member(sK3(X0),X0) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f54,f56,f55]) ).
fof(f55,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& ? [X3] :
( member(X3,X2)
& member(X3,X1) )
& member(X2,X0)
& member(X1,X0) )
=> ( sK3(X0) != sK4(X0)
& ? [X3] :
( member(X3,sK4(X0))
& member(X3,sK3(X0)) )
& member(sK4(X0),X0)
& member(sK3(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ? [X3] :
( member(X3,sK4(X0))
& member(X3,sK3(X0)) )
=> ( member(sK5(X0),sK4(X0))
& member(sK5(X0),sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& ? [X3] :
( member(X3,X2)
& member(X3,X1) )
& member(X2,X0)
& member(X1,X0) )
| ~ sP0(X0) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ? [X2,X3] :
( X2 != X3
& ? [X4] :
( member(X4,X3)
& member(X4,X2) )
& member(X3,X0)
& member(X2,X0) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f45]) ).
fof(f411,plain,
( sP0(sF13)
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f510,plain,
( sK1 != sK3(sF13)
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f508,f411]) ).
fof(f508,plain,
( sK1 != sK3(sF13)
| ~ sP0(sF13)
| ~ spl14_5 ),
inference(superposition,[],[f98,f501]) ).
fof(f501,plain,
( sK1 = sK4(sF13)
| ~ spl14_5 ),
inference(resolution,[],[f495,f145]) ).
fof(f495,plain,
( member(sK4(sF13),sF13)
| ~ spl14_5 ),
inference(resolution,[],[f411,f95]) ).
fof(f95,plain,
! [X0] :
( ~ sP0(X0)
| member(sK4(X0),X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f98,plain,
! [X0] :
( sK3(X0) != sK4(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f490,plain,
( spl14_3
| ~ spl14_4
| spl14_5 ),
inference(avatar_contradiction_clause,[],[f483]) ).
fof(f483,plain,
( $false
| spl14_3
| ~ spl14_4
| spl14_5 ),
inference(resolution,[],[f482,f143]) ).
fof(f482,plain,
( ! [X0] : ~ member(X0,sF13)
| spl14_3
| ~ spl14_4
| spl14_5 ),
inference(subsumption_resolution,[],[f481,f413]) ).
fof(f413,plain,
( ! [X0] :
( ~ member(X0,sF13)
| member(sK6(sF13,sK1),X0) )
| ~ spl14_4 ),
inference(resolution,[],[f407,f241]) ).
fof(f481,plain,
( ! [X0] :
( ~ member(sK6(sF13,sK1),X0)
| ~ member(X0,sF13) )
| spl14_3
| spl14_5 ),
inference(subsumption_resolution,[],[f480,f402]) ).
fof(f402,plain,
( ~ member(sK7(sF13,sK1),sF13)
| spl14_3 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f480,plain,
( ! [X0] :
( ~ member(sK6(sF13,sK1),X0)
| ~ member(X0,sF13)
| member(sK7(sF13,sK1),sF13) )
| spl14_5 ),
inference(subsumption_resolution,[],[f390,f410]) ).
fof(f390,plain,
! [X0] :
( sP0(sF13)
| ~ member(sK6(sF13,sK1),X0)
| ~ member(X0,sF13)
| member(sK7(sF13,sK1),sF13) ),
inference(resolution,[],[f101,f142]) ).
fof(f101,plain,
! [X3,X0,X1] :
( partition(X0,X1)
| sP0(X0)
| ~ member(sK6(X0,X1),X3)
| ~ member(X3,X0)
| member(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f412,plain,
( spl14_3
| spl14_4
| spl14_5 ),
inference(avatar_split_clause,[],[f310,f409,f405,f401]) ).
fof(f310,plain,
( sP0(sF13)
| member(sK6(sF13,sK1),sK1)
| member(sK7(sF13,sK1),sF13) ),
inference(resolution,[],[f99,f142]) ).
fof(f99,plain,
! [X0,X1] :
( partition(X0,X1)
| sP0(X0)
| member(sK6(X0,X1),X1)
| member(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV521+1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n016.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu Aug 24 04:13:38 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.1hxJMT0xe0/Vampire---4.8_16213
% 0.16/0.37 % (16473)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (16476)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.22/0.43 % (16484)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.22/0.43 % (16475)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.22/0.43 % (16479)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.22/0.43 % (16483)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.22/0.43 % (16480)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.22/0.43 % (16485)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.22/0.44 % (16484)First to succeed.
% 0.22/0.45 % (16484)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Theorem for Vampire---4
% 0.22/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.45 % (16484)------------------------------
% 0.22/0.45 % (16484)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.45 % (16484)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.45 % (16484)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (16484)Memory used [KB]: 5756
% 0.22/0.45 % (16484)Time elapsed: 0.021 s
% 0.22/0.45 % (16484)------------------------------
% 0.22/0.45 % (16484)------------------------------
% 0.22/0.45 % (16473)Success in time 0.081 s
% 0.22/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------