TSTP Solution File: SET155+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET155+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n014.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 Aug 31 18:19:33 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 94 ( 2 unt; 0 def)
% Number of atoms : 277 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 284 ( 101 ~; 114 |; 46 &)
% ( 16 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 131 ( 116 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f240,plain,
$false,
inference(avatar_sat_refutation,[],[f105,f123,f144,f148,f176,f219,f239]) ).
fof(f239,plain,
( spl6_2
| spl6_6 ),
inference(avatar_contradiction_clause,[],[f233]) ).
fof(f233,plain,
( $false
| spl6_2
| spl6_6 ),
inference(resolution,[],[f228,f150]) ).
fof(f150,plain,
( member(sK3(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),difference(sK1,union(sK0,sK2)))
| spl6_2 ),
inference(resolution,[],[f104,f75]) ).
fof(f75,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f43,f44]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f43,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,[],[f42]) ).
fof(f42,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,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f104,plain,
( ~ subset(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2)))
| spl6_2 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl6_2
<=> subset(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f228,plain,
( ! [X0] : ~ member(sK3(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),difference(sK1,X0))
| spl6_2
| spl6_6 ),
inference(resolution,[],[f224,f84]) ).
fof(f84,plain,
! [X2,X0,X1] :
( member(X2,X0)
| ~ member(X2,difference(X0,X1)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) )
& ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X1,X2,X0] :
( ( ( ~ member(X0,X2)
& member(X0,X1) )
| ~ member(X0,difference(X1,X2)) )
& ( member(X0,difference(X1,X2))
| member(X0,X2)
| ~ member(X0,X1) ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X1,X2,X0] :
( ( ( ~ member(X0,X2)
& member(X0,X1) )
| ~ member(X0,difference(X1,X2)) )
& ( member(X0,difference(X1,X2))
| member(X0,X2)
| ~ member(X0,X1) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X2,X0] :
( ( ~ member(X0,X2)
& member(X0,X1) )
<=> member(X0,difference(X1,X2)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X3,X0] :
( ( ~ member(X1,X0)
& member(X1,X3) )
<=> member(X1,difference(X3,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference) ).
fof(f224,plain,
( ~ member(sK3(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),sK1)
| spl6_2
| spl6_6 ),
inference(subsumption_resolution,[],[f222,f180]) ).
fof(f180,plain,
( ~ member(sK3(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),sK2)
| spl6_2 ),
inference(resolution,[],[f156,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( member(X1,union(X0,X2))
| ~ member(X1,X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X0,X2)) )
& ( member(X1,union(X0,X2))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) ) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X0,X2)) )
& ( member(X1,union(X0,X2))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( member(X1,X2)
| member(X1,X0) )
<=> member(X1,union(X0,X2)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X2,X1] :
( ( member(X2,X0)
| member(X2,X1) )
<=> member(X2,union(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f156,plain,
( ~ member(sK3(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),union(sK0,sK2))
| spl6_2 ),
inference(resolution,[],[f150,f85]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f222,plain,
( ~ member(sK3(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),sK1)
| member(sK3(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),sK2)
| spl6_6 ),
inference(resolution,[],[f175,f83]) ).
fof(f83,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f175,plain,
( ~ member(sK3(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),difference(sK1,sK2))
| spl6_6 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f173,plain,
( spl6_6
<=> member(sK3(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),difference(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f219,plain,
( spl6_2
| spl6_5 ),
inference(avatar_contradiction_clause,[],[f215]) ).
fof(f215,plain,
( $false
| spl6_2
| spl6_5 ),
inference(resolution,[],[f193,f150]) ).
fof(f193,plain,
( ! [X0] : ~ member(sK3(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),difference(sK1,X0))
| spl6_2
| spl6_5 ),
inference(resolution,[],[f184,f84]) ).
fof(f184,plain,
( ~ member(sK3(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),sK1)
| spl6_2
| spl6_5 ),
inference(subsumption_resolution,[],[f182,f179]) ).
fof(f179,plain,
( ~ member(sK3(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),sK0)
| spl6_2 ),
inference(resolution,[],[f156,f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( member(X1,union(X0,X2))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f182,plain,
( ~ member(sK3(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),sK1)
| member(sK3(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),sK0)
| spl6_5 ),
inference(resolution,[],[f171,f83]) ).
fof(f171,plain,
( ~ member(sK3(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),difference(sK1,sK0))
| spl6_5 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl6_5
<=> member(sK3(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),difference(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f176,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_2 ),
inference(avatar_split_clause,[],[f166,f102,f173,f169]) ).
fof(f166,plain,
( ~ member(sK3(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),difference(sK1,sK2))
| ~ member(sK3(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),difference(sK1,sK0))
| spl6_2 ),
inference(resolution,[],[f151,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( member(X1,intersection(X2,X0))
| ~ member(X1,X2)
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( ( member(X1,X0)
& member(X1,X2) )
| ~ member(X1,intersection(X2,X0)) )
& ( member(X1,intersection(X2,X0))
| ~ member(X1,X0)
| ~ member(X1,X2) ) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X0,X2,X1] :
( ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X1,X0)) )
& ( member(X2,intersection(X1,X0))
| ~ member(X2,X0)
| ~ member(X2,X1) ) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0,X2,X1] :
( ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X1,X0)) )
& ( member(X2,intersection(X1,X0))
| ~ member(X2,X0)
| ~ member(X2,X1) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X2,X1] :
( ( member(X2,X0)
& member(X2,X1) )
<=> member(X2,intersection(X1,X0)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0,X2] :
( ( member(X2,X1)
& member(X2,X0) )
<=> member(X2,intersection(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection) ).
fof(f151,plain,
( ~ member(sK3(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),intersection(difference(sK1,sK0),difference(sK1,sK2)))
| spl6_2 ),
inference(resolution,[],[f104,f76]) ).
fof(f76,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f148,plain,
( spl6_1
| ~ spl6_3 ),
inference(avatar_contradiction_clause,[],[f147]) ).
fof(f147,plain,
( $false
| spl6_1
| ~ spl6_3 ),
inference(subsumption_resolution,[],[f146,f135]) ).
fof(f135,plain,
( ~ member(sK3(intersection(difference(sK1,sK0),difference(sK1,sK2)),difference(sK1,union(sK0,sK2))),sK0)
| spl6_1 ),
inference(resolution,[],[f125,f85]) ).
fof(f125,plain,
( member(sK3(intersection(difference(sK1,sK0),difference(sK1,sK2)),difference(sK1,union(sK0,sK2))),difference(sK1,sK0))
| spl6_1 ),
inference(resolution,[],[f106,f72]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ member(X1,intersection(X2,X0))
| member(X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f106,plain,
( member(sK3(intersection(difference(sK1,sK0),difference(sK1,sK2)),difference(sK1,union(sK0,sK2))),intersection(difference(sK1,sK0),difference(sK1,sK2)))
| spl6_1 ),
inference(resolution,[],[f100,f75]) ).
fof(f100,plain,
( ~ subset(intersection(difference(sK1,sK0),difference(sK1,sK2)),difference(sK1,union(sK0,sK2)))
| spl6_1 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl6_1
<=> subset(intersection(difference(sK1,sK0),difference(sK1,sK2)),difference(sK1,union(sK0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f146,plain,
( member(sK3(intersection(difference(sK1,sK0),difference(sK1,sK2)),difference(sK1,union(sK0,sK2))),sK0)
| spl6_1
| ~ spl6_3 ),
inference(subsumption_resolution,[],[f145,f130]) ).
fof(f130,plain,
( ~ member(sK3(intersection(difference(sK1,sK0),difference(sK1,sK2)),difference(sK1,union(sK0,sK2))),sK2)
| spl6_1 ),
inference(resolution,[],[f124,f85]) ).
fof(f124,plain,
( member(sK3(intersection(difference(sK1,sK0),difference(sK1,sK2)),difference(sK1,union(sK0,sK2))),difference(sK1,sK2))
| spl6_1 ),
inference(resolution,[],[f106,f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ member(X1,intersection(X2,X0))
| member(X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f145,plain,
( member(sK3(intersection(difference(sK1,sK0),difference(sK1,sK2)),difference(sK1,union(sK0,sK2))),sK2)
| member(sK3(intersection(difference(sK1,sK0),difference(sK1,sK2)),difference(sK1,union(sK0,sK2))),sK0)
| ~ spl6_3 ),
inference(resolution,[],[f118,f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ member(X1,union(X0,X2))
| member(X1,X2)
| member(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f118,plain,
( member(sK3(intersection(difference(sK1,sK0),difference(sK1,sK2)),difference(sK1,union(sK0,sK2))),union(sK0,sK2))
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl6_3
<=> member(sK3(intersection(difference(sK1,sK0),difference(sK1,sK2)),difference(sK1,union(sK0,sK2))),union(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f144,plain,
( spl6_1
| spl6_4 ),
inference(avatar_contradiction_clause,[],[f139]) ).
fof(f139,plain,
( $false
| spl6_1
| spl6_4 ),
inference(resolution,[],[f128,f124]) ).
fof(f128,plain,
( ! [X0] : ~ member(sK3(intersection(difference(sK1,sK0),difference(sK1,sK2)),difference(sK1,union(sK0,sK2))),difference(sK1,X0))
| spl6_4 ),
inference(resolution,[],[f122,f84]) ).
fof(f122,plain,
( ~ member(sK3(intersection(difference(sK1,sK0),difference(sK1,sK2)),difference(sK1,union(sK0,sK2))),sK1)
| spl6_4 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl6_4
<=> member(sK3(intersection(difference(sK1,sK0),difference(sK1,sK2)),difference(sK1,union(sK0,sK2))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f123,plain,
( spl6_3
| ~ spl6_4
| spl6_1 ),
inference(avatar_split_clause,[],[f113,f98,f120,f116]) ).
fof(f113,plain,
( ~ member(sK3(intersection(difference(sK1,sK0),difference(sK1,sK2)),difference(sK1,union(sK0,sK2))),sK1)
| member(sK3(intersection(difference(sK1,sK0),difference(sK1,sK2)),difference(sK1,union(sK0,sK2))),union(sK0,sK2))
| spl6_1 ),
inference(resolution,[],[f107,f83]) ).
fof(f107,plain,
( ~ member(sK3(intersection(difference(sK1,sK0),difference(sK1,sK2)),difference(sK1,union(sK0,sK2))),difference(sK1,union(sK0,sK2)))
| spl6_1 ),
inference(resolution,[],[f100,f76]) ).
fof(f105,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f96,f102,f98]) ).
fof(f96,plain,
( ~ subset(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2)))
| ~ subset(intersection(difference(sK1,sK0),difference(sK1,sK2)),difference(sK1,union(sK0,sK2))) ),
inference(resolution,[],[f69,f65]) ).
fof(f65,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( equal_set(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( equal_set(X1,X0)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( equal_set(X0,X1)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set) ).
fof(f69,plain,
~ equal_set(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2))),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( subset(sK0,sK1)
& ~ equal_set(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2)))
& subset(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f36,f37]) ).
fof(f37,plain,
( ? [X0,X1,X2] :
( subset(X0,X1)
& ~ equal_set(difference(X1,union(X0,X2)),intersection(difference(X1,X0),difference(X1,X2)))
& subset(X2,X1) )
=> ( subset(sK0,sK1)
& ~ equal_set(difference(sK1,union(sK0,sK2)),intersection(difference(sK1,sK0),difference(sK1,sK2)))
& subset(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0,X1,X2] :
( subset(X0,X1)
& ~ equal_set(difference(X1,union(X0,X2)),intersection(difference(X1,X0),difference(X1,X2)))
& subset(X2,X1) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
? [X2,X0,X1] :
( subset(X2,X0)
& ~ equal_set(difference(X0,union(X2,X1)),intersection(difference(X0,X2),difference(X0,X1)))
& subset(X1,X0) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
? [X0,X1,X2] :
( ~ equal_set(difference(X0,union(X2,X1)),intersection(difference(X0,X2),difference(X0,X1)))
& subset(X1,X0)
& subset(X2,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1,X2] :
( ( subset(X1,X0)
& subset(X2,X0) )
=> equal_set(difference(X0,union(X2,X1)),intersection(difference(X0,X2),difference(X0,X1))) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X3,X1,X0] :
( ( subset(X0,X3)
& subset(X1,X3) )
=> equal_set(difference(X3,union(X0,X1)),intersection(difference(X3,X0),difference(X3,X1))) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X3,X1,X0] :
( ( subset(X0,X3)
& subset(X1,X3) )
=> equal_set(difference(X3,union(X0,X1)),intersection(difference(X3,X0),difference(X3,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI26) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET155+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 13:24:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 % (24328)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (24351)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (24343)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (24343)Instruction limit reached!
% 0.19/0.53 % (24343)------------------------------
% 0.19/0.53 % (24343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (24343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (24343)Termination reason: Unknown
% 0.19/0.53 % (24343)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (24343)Memory used [KB]: 5884
% 0.19/0.53 % (24343)Time elapsed: 0.146 s
% 0.19/0.53 % (24343)Instructions burned: 2 (million)
% 0.19/0.53 % (24343)------------------------------
% 0.19/0.53 % (24343)------------------------------
% 0.19/0.53 % (24336)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (24351)First to succeed.
% 0.19/0.54 % (24336)Refutation not found, incomplete strategy% (24336)------------------------------
% 0.19/0.54 % (24336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24351)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (24351)------------------------------
% 0.19/0.54 % (24351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24351)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (24351)Memory used [KB]: 6268
% 0.19/0.54 % (24351)Time elapsed: 0.140 s
% 0.19/0.54 % (24351)Instructions burned: 10 (million)
% 0.19/0.54 % (24351)------------------------------
% 0.19/0.54 % (24351)------------------------------
% 0.19/0.54 % (24324)Success in time 0.189 s
%------------------------------------------------------------------------------