TSTP Solution File: SET690+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET690+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 : n019.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 18:21:53 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 103 ( 2 unt; 0 def)
% Number of atoms : 293 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 308 ( 118 ~; 134 |; 33 &)
% ( 19 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 111 ( 96 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f185,plain,
$false,
inference(avatar_sat_refutation,[],[f102,f103,f117,f128,f143,f159,f169,f173,f180,f181,f184]) ).
fof(f184,plain,
( ~ spl6_1
| spl6_6
| ~ spl6_8 ),
inference(avatar_contradiction_clause,[],[f183]) ).
fof(f183,plain,
( $false
| ~ spl6_1
| spl6_6
| ~ spl6_8 ),
inference(subsumption_resolution,[],[f182,f168]) ).
fof(f168,plain,
( member(sK2(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))),sK4)
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl6_8
<=> member(sK2(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f182,plain,
( ~ member(sK2(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))),sK4)
| ~ spl6_1
| spl6_6 ),
inference(resolution,[],[f158,f118]) ).
fof(f118,plain,
( ! [X0] :
( member(X0,sK3)
| ~ member(X0,sK4) )
| ~ spl6_1 ),
inference(resolution,[],[f96,f79]) ).
fof(f79,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| member(X3,X1)
| ~ member(X3,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( member(sK2(X0,X1),X0)
& ~ member(sK2(X0,X1),X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f48,f49]) ).
fof(f49,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
=> ( member(sK2(X0,X1),X0)
& ~ member(sK2(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f96,plain,
( subset(sK4,sK3)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl6_1
<=> subset(sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f158,plain,
( ~ member(sK2(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))),sK3)
| spl6_6 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl6_6
<=> member(sK2(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f181,plain,
( spl6_6
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f178,f162,f156]) ).
fof(f162,plain,
( spl6_7
<=> member(sK2(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))),intersection(sK3,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f178,plain,
( member(sK2(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))),sK3)
| ~ spl6_7 ),
inference(resolution,[],[f164,f76]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X1,X0))
| member(X2,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X1,X0))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X1,X0)) ) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X2,X1,X0] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) )
& ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X2,X1,X0] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) )
& ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X2,X1,X0] :
( member(X0,intersection(X1,X2))
<=> ( member(X0,X2)
& member(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection) ).
fof(f164,plain,
( member(sK2(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))),intersection(sK3,sK5))
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f180,plain,
( spl6_5
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f179]) ).
fof(f179,plain,
( $false
| spl6_5
| ~ spl6_7 ),
inference(subsumption_resolution,[],[f177,f172]) ).
fof(f172,plain,
( ~ member(sK2(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))),sK5)
| spl6_5 ),
inference(resolution,[],[f154,f84]) ).
fof(f84,plain,
! [X2,X0,X1] :
( member(X1,union(X0,X2))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( member(X1,X0)
| member(X1,X2)
| ~ member(X1,union(X0,X2)) )
& ( member(X1,union(X0,X2))
| ( ~ member(X1,X0)
& ~ member(X1,X2) ) ) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X2,X1)) )
& ( member(X0,union(X2,X1))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) ) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X2,X1)) )
& ( member(X0,union(X2,X1))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ( member(X0,X2)
| member(X0,X1) )
<=> member(X0,union(X2,X1)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X1,X0] :
( ( member(X2,X0)
| member(X2,X1) )
<=> member(X2,union(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f154,plain,
( ~ member(sK2(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))),union(sK5,sK4))
| spl6_5 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl6_5
<=> member(sK2(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))),union(sK5,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f177,plain,
( member(sK2(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))),sK5)
| ~ spl6_7 ),
inference(resolution,[],[f164,f77]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X1,X0))
| member(X2,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f173,plain,
( ~ spl6_8
| spl6_5 ),
inference(avatar_split_clause,[],[f171,f152,f166]) ).
fof(f171,plain,
( ~ member(sK2(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))),sK4)
| spl6_5 ),
inference(resolution,[],[f154,f83]) ).
fof(f83,plain,
! [X2,X0,X1] :
( member(X1,union(X0,X2))
| ~ member(X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f169,plain,
( spl6_7
| spl6_8
| spl6_4 ),
inference(avatar_split_clause,[],[f160,f125,f166,f162]) ).
fof(f125,plain,
( spl6_4
<=> subset(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f160,plain,
( member(sK2(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))),sK4)
| member(sK2(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))),intersection(sK3,sK5))
| spl6_4 ),
inference(resolution,[],[f147,f85]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ member(X1,union(X0,X2))
| member(X1,X2)
| member(X1,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f147,plain,
( member(sK2(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))),union(intersection(sK3,sK5),sK4))
| spl6_4 ),
inference(resolution,[],[f127,f81]) ).
fof(f81,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f127,plain,
( ~ subset(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4)))
| spl6_4 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f159,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_4 ),
inference(avatar_split_clause,[],[f150,f125,f156,f152]) ).
fof(f150,plain,
( ~ member(sK2(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))),sK3)
| ~ member(sK2(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))),union(sK5,sK4))
| spl6_4 ),
inference(resolution,[],[f146,f78]) ).
fof(f78,plain,
! [X2,X0,X1] :
( member(X2,intersection(X1,X0))
| ~ member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f146,plain,
( ~ member(sK2(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))),intersection(sK3,union(sK5,sK4)))
| spl6_4 ),
inference(resolution,[],[f127,f80]) ).
fof(f80,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f143,plain,
spl6_3,
inference(avatar_contradiction_clause,[],[f142]) ).
fof(f142,plain,
( $false
| spl6_3 ),
inference(subsumption_resolution,[],[f141,f138]) ).
fof(f138,plain,
( ~ member(sK2(intersection(sK3,union(sK5,sK4)),union(intersection(sK3,sK5),sK4)),sK5)
| spl6_3 ),
inference(subsumption_resolution,[],[f137,f135]) ).
fof(f135,plain,
( member(sK2(intersection(sK3,union(sK5,sK4)),union(intersection(sK3,sK5),sK4)),sK3)
| spl6_3 ),
inference(resolution,[],[f131,f76]) ).
fof(f131,plain,
( member(sK2(intersection(sK3,union(sK5,sK4)),union(intersection(sK3,sK5),sK4)),intersection(sK3,union(sK5,sK4)))
| spl6_3 ),
inference(resolution,[],[f123,f81]) ).
fof(f123,plain,
( ~ subset(intersection(sK3,union(sK5,sK4)),union(intersection(sK3,sK5),sK4))
| spl6_3 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl6_3
<=> subset(intersection(sK3,union(sK5,sK4)),union(intersection(sK3,sK5),sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f137,plain,
( ~ member(sK2(intersection(sK3,union(sK5,sK4)),union(intersection(sK3,sK5),sK4)),sK5)
| ~ member(sK2(intersection(sK3,union(sK5,sK4)),union(intersection(sK3,sK5),sK4)),sK3)
| spl6_3 ),
inference(resolution,[],[f133,f78]) ).
fof(f133,plain,
( ~ member(sK2(intersection(sK3,union(sK5,sK4)),union(intersection(sK3,sK5),sK4)),intersection(sK3,sK5))
| spl6_3 ),
inference(resolution,[],[f130,f84]) ).
fof(f130,plain,
( ~ member(sK2(intersection(sK3,union(sK5,sK4)),union(intersection(sK3,sK5),sK4)),union(intersection(sK3,sK5),sK4))
| spl6_3 ),
inference(resolution,[],[f123,f80]) ).
fof(f141,plain,
( member(sK2(intersection(sK3,union(sK5,sK4)),union(intersection(sK3,sK5),sK4)),sK5)
| spl6_3 ),
inference(subsumption_resolution,[],[f140,f132]) ).
fof(f132,plain,
( ~ member(sK2(intersection(sK3,union(sK5,sK4)),union(intersection(sK3,sK5),sK4)),sK4)
| spl6_3 ),
inference(resolution,[],[f130,f83]) ).
fof(f140,plain,
( member(sK2(intersection(sK3,union(sK5,sK4)),union(intersection(sK3,sK5),sK4)),sK4)
| member(sK2(intersection(sK3,union(sK5,sK4)),union(intersection(sK3,sK5),sK4)),sK5)
| spl6_3 ),
inference(resolution,[],[f134,f85]) ).
fof(f134,plain,
( member(sK2(intersection(sK3,union(sK5,sK4)),union(intersection(sK3,sK5),sK4)),union(sK5,sK4))
| spl6_3 ),
inference(resolution,[],[f131,f77]) ).
fof(f128,plain,
( ~ spl6_3
| ~ spl6_4
| spl6_2 ),
inference(avatar_split_clause,[],[f119,f99,f125,f121]) ).
fof(f99,plain,
( spl6_2
<=> equal_set(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f119,plain,
( ~ subset(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4)))
| ~ subset(intersection(sK3,union(sK5,sK4)),union(intersection(sK3,sK5),sK4))
| spl6_2 ),
inference(resolution,[],[f101,f88]) ).
fof(f88,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( equal_set(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| ~ equal_set(X1,X0) ) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( equal_set(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| ~ equal_set(X1,X0) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( equal_set(X1,X0)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ( subset(X1,X0)
& subset(X0,X1) )
<=> equal_set(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
fof(f101,plain,
( ~ equal_set(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4)))
| spl6_2 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f117,plain,
( spl6_1
| ~ spl6_2 ),
inference(avatar_contradiction_clause,[],[f116]) ).
fof(f116,plain,
( $false
| spl6_1
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f114,f106]) ).
fof(f106,plain,
( member(sK2(sK4,sK3),sK4)
| spl6_1 ),
inference(resolution,[],[f97,f81]) ).
fof(f97,plain,
( ~ subset(sK4,sK3)
| spl6_1 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f114,plain,
( ~ member(sK2(sK4,sK3),sK4)
| spl6_1
| ~ spl6_2 ),
inference(resolution,[],[f112,f83]) ).
fof(f112,plain,
( ~ member(sK2(sK4,sK3),union(intersection(sK3,sK5),sK4))
| spl6_1
| ~ spl6_2 ),
inference(resolution,[],[f111,f105]) ).
fof(f105,plain,
( ~ member(sK2(sK4,sK3),sK3)
| spl6_1 ),
inference(resolution,[],[f97,f80]) ).
fof(f111,plain,
( ! [X1] :
( member(X1,sK3)
| ~ member(X1,union(intersection(sK3,sK5),sK4)) )
| ~ spl6_2 ),
inference(resolution,[],[f109,f76]) ).
fof(f109,plain,
( ! [X0] :
( member(X0,intersection(sK3,union(sK5,sK4)))
| ~ member(X0,union(intersection(sK3,sK5),sK4)) )
| ~ spl6_2 ),
inference(resolution,[],[f108,f79]) ).
fof(f108,plain,
( subset(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4)))
| ~ spl6_2 ),
inference(resolution,[],[f100,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ equal_set(X1,X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f100,plain,
( equal_set(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4)))
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f103,plain,
( spl6_2
| spl6_1 ),
inference(avatar_split_clause,[],[f89,f95,f99]) ).
fof(f89,plain,
( subset(sK4,sK3)
| equal_set(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( ~ subset(sK4,sK3)
| ~ equal_set(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))) )
& ( subset(sK4,sK3)
| equal_set(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f57,f58]) ).
fof(f58,plain,
( ? [X0,X1,X2] :
( ( ~ subset(X1,X0)
| ~ equal_set(union(intersection(X0,X2),X1),intersection(X0,union(X2,X1))) )
& ( subset(X1,X0)
| equal_set(union(intersection(X0,X2),X1),intersection(X0,union(X2,X1))) ) )
=> ( ( ~ subset(sK4,sK3)
| ~ equal_set(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))) )
& ( subset(sK4,sK3)
| equal_set(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
? [X0,X1,X2] :
( ( ~ subset(X1,X0)
| ~ equal_set(union(intersection(X0,X2),X1),intersection(X0,union(X2,X1))) )
& ( subset(X1,X0)
| equal_set(union(intersection(X0,X2),X1),intersection(X0,union(X2,X1))) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
? [X1,X0,X2] :
( ( ~ subset(X0,X1)
| ~ equal_set(union(intersection(X1,X2),X0),intersection(X1,union(X2,X0))) )
& ( subset(X0,X1)
| equal_set(union(intersection(X1,X2),X0),intersection(X1,union(X2,X0))) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
? [X1,X0,X2] :
( equal_set(union(intersection(X1,X2),X0),intersection(X1,union(X2,X0)))
<~> subset(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X1,X2,X0] :
( equal_set(union(intersection(X1,X2),X0),intersection(X1,union(X2,X0)))
<=> subset(X0,X1) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X5,X0,X1] :
( subset(X5,X0)
<=> equal_set(union(intersection(X0,X1),X5),intersection(X0,union(X1,X5))) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X5,X0,X1] :
( subset(X5,X0)
<=> equal_set(union(intersection(X0,X1),X5),intersection(X0,union(X1,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI12) ).
fof(f102,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f90,f99,f95]) ).
fof(f90,plain,
( ~ equal_set(union(intersection(sK3,sK5),sK4),intersection(sK3,union(sK5,sK4)))
| ~ subset(sK4,sK3) ),
inference(cnf_transformation,[],[f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET690+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:17:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (24962)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.50 % (24992)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.50 % (24966)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51 % (24990)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)
% 0.20/0.51 % (24980)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (24979)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (24981)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)
% 0.20/0.51 % (24977)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (24981)Instruction limit reached!
% 0.20/0.51 % (24981)------------------------------
% 0.20/0.51 % (24981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (24981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (24981)Termination reason: Unknown
% 0.20/0.51 % (24981)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (24981)Memory used [KB]: 5884
% 0.20/0.51 % (24981)Time elapsed: 0.116 s
% 0.20/0.51 % (24981)Instructions burned: 3 (million)
% 0.20/0.51 % (24981)------------------------------
% 0.20/0.51 % (24981)------------------------------
% 0.20/0.51 % (24985)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.52 % (24990)First to succeed.
% 0.20/0.52 % (24970)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52 % (24975)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.52 % (24972)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.52 % (24963)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52 % (24977)Instruction limit reached!
% 0.20/0.52 % (24977)------------------------------
% 0.20/0.52 % (24977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (24977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (24977)Termination reason: Unknown
% 0.20/0.52 % (24977)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (24977)Memory used [KB]: 5884
% 0.20/0.52 % (24977)Time elapsed: 0.125 s
% 0.20/0.52 % (24977)Instructions burned: 3 (million)
% 0.20/0.52 % (24977)------------------------------
% 0.20/0.52 % (24977)------------------------------
% 0.20/0.52 % (24990)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (24990)------------------------------
% 0.20/0.52 % (24990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (24990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (24990)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (24990)Memory used [KB]: 6140
% 0.20/0.52 % (24990)Time elapsed: 0.111 s
% 0.20/0.52 % (24990)Instructions burned: 6 (million)
% 0.20/0.52 % (24990)------------------------------
% 0.20/0.52 % (24990)------------------------------
% 0.20/0.52 % (24960)Success in time 0.165 s
%------------------------------------------------------------------------------