TSTP Solution File: SET690+4 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET690+4 : TPTP v8.1.2. Released v2.2.0.
% 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 : n013.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 15:45:14 EDT 2023
% Result : Theorem 0.23s 0.51s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 130 ( 5 unt; 0 def)
% Number of atoms : 358 ( 4 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 375 ( 147 ~; 178 |; 27 &)
% ( 19 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 113 (; 101 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f763,plain,
$false,
inference(avatar_sat_refutation,[],[f102,f105,f138,f149,f185,f224,f249,f287,f503,f509,f522,f762]) ).
fof(f762,plain,
( spl10_3
| ~ spl10_6
| ~ spl10_10 ),
inference(avatar_contradiction_clause,[],[f761]) ).
fof(f761,plain,
( $false
| spl10_3
| ~ spl10_6
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f754,f144]) ).
fof(f144,plain,
( ~ subset(sF7,sF9)
| spl10_3 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl10_3
<=> subset(sF7,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f754,plain,
( subset(sF7,sF9)
| ~ spl10_6
| ~ spl10_10 ),
inference(resolution,[],[f753,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ member(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,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])],[f33,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f33,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,[],[f32]) ).
fof(f32,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,[],[f25]) ).
fof(f25,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.uYoUNuvVic/Vampire---4.8_26327',subset) ).
fof(f753,plain,
( member(sK3(sF7,sF9),sF9)
| ~ spl10_6
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f528,f448]) ).
fof(f448,plain,
( member(sK3(sF7,sF9),sF8)
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f446,plain,
( spl10_10
<=> member(sK3(sF7,sF9),sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f528,plain,
( ~ member(sK3(sF7,sF9),sF8)
| member(sK3(sF7,sF9),sF9)
| ~ spl10_6 ),
inference(resolution,[],[f512,f167]) ).
fof(f167,plain,
! [X1] :
( ~ member(X1,sK0)
| ~ member(X1,sF8)
| member(X1,sF9) ),
inference(superposition,[],[f81,f91]) ).
fof(f91,plain,
intersection(sK0,sF8) = sF9,
introduced(function_definition,[]) ).
fof(f81,plain,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) )
& ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( 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,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( 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,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.uYoUNuvVic/Vampire---4.8_26327',intersection) ).
fof(f512,plain,
( member(sK3(sF7,sF9),sK0)
| ~ spl10_6 ),
inference(resolution,[],[f184,f112]) ).
fof(f112,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sK0) ),
inference(superposition,[],[f79,f88]) ).
fof(f88,plain,
intersection(sK0,sK1) = sF6,
introduced(function_definition,[]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f184,plain,
( member(sK3(sF7,sF9),sF6)
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl10_6
<=> member(sK3(sF7,sF9),sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f522,plain,
( ~ spl10_6
| spl10_10 ),
inference(avatar_contradiction_clause,[],[f521]) ).
fof(f521,plain,
( $false
| ~ spl10_6
| spl10_10 ),
inference(subsumption_resolution,[],[f517,f447]) ).
fof(f447,plain,
( ~ member(sK3(sF7,sF9),sF8)
| spl10_10 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f517,plain,
( member(sK3(sF7,sF9),sF8)
| ~ spl10_6 ),
inference(resolution,[],[f511,f118]) ).
fof(f118,plain,
! [X1] :
( ~ member(X1,sK1)
| member(X1,sF8) ),
inference(superposition,[],[f83,f90]) ).
fof(f90,plain,
union(sK1,sK2) = sF8,
introduced(function_definition,[]) ).
fof(f83,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) )
& ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) ) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) )
& ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( member(X0,union(X1,X2))
<=> ( member(X0,X2)
| member(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.uYoUNuvVic/Vampire---4.8_26327',union) ).
fof(f511,plain,
( member(sK3(sF7,sF9),sK1)
| ~ spl10_6 ),
inference(resolution,[],[f184,f114]) ).
fof(f114,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sK1) ),
inference(superposition,[],[f80,f88]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f509,plain,
( ~ spl10_5
| spl10_10 ),
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f508,plain,
( $false
| ~ spl10_5
| spl10_10 ),
inference(subsumption_resolution,[],[f507,f180]) ).
fof(f180,plain,
( member(sK3(sF7,sF9),sK2)
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl10_5
<=> member(sK3(sF7,sF9),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f507,plain,
( ~ member(sK3(sF7,sF9),sK2)
| spl10_10 ),
inference(resolution,[],[f447,f121]) ).
fof(f121,plain,
! [X1] :
( member(X1,sF8)
| ~ member(X1,sK2) ),
inference(superposition,[],[f84,f90]) ).
fof(f84,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f503,plain,
( ~ spl10_2
| spl10_3
| ~ spl10_5
| ~ spl10_10 ),
inference(avatar_contradiction_clause,[],[f502]) ).
fof(f502,plain,
( $false
| ~ spl10_2
| spl10_3
| ~ spl10_5
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f495,f144]) ).
fof(f495,plain,
( subset(sF7,sF9)
| ~ spl10_2
| ~ spl10_5
| ~ spl10_10 ),
inference(resolution,[],[f494,f62]) ).
fof(f494,plain,
( member(sK3(sF7,sF9),sF9)
| ~ spl10_2
| ~ spl10_5
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f304,f448]) ).
fof(f304,plain,
( ~ member(sK3(sF7,sF9),sF8)
| member(sK3(sF7,sF9),sF9)
| ~ spl10_2
| ~ spl10_5 ),
inference(resolution,[],[f300,f167]) ).
fof(f300,plain,
( member(sK3(sF7,sF9),sK0)
| ~ spl10_2
| ~ spl10_5 ),
inference(resolution,[],[f180,f140]) ).
fof(f140,plain,
( ! [X0] :
( ~ member(X0,sK2)
| member(X0,sK0) )
| ~ spl10_2 ),
inference(resolution,[],[f100,f60]) ).
fof(f60,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f100,plain,
( subset(sK2,sK0)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl10_2
<=> subset(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f287,plain,
( spl10_4
| ~ spl10_8 ),
inference(avatar_contradiction_clause,[],[f286]) ).
fof(f286,plain,
( $false
| spl10_4
| ~ spl10_8 ),
inference(subsumption_resolution,[],[f280,f148]) ).
fof(f148,plain,
( ~ subset(sF9,sF7)
| spl10_4 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl10_4
<=> subset(sF9,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f280,plain,
( subset(sF9,sF7)
| spl10_4
| ~ spl10_8 ),
inference(resolution,[],[f255,f62]) ).
fof(f255,plain,
( member(sK3(sF9,sF7),sF7)
| spl10_4
| ~ spl10_8 ),
inference(resolution,[],[f254,f117]) ).
fof(f117,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sF7) ),
inference(superposition,[],[f83,f89]) ).
fof(f89,plain,
union(sF6,sK2) = sF7,
introduced(function_definition,[]) ).
fof(f254,plain,
( member(sK3(sF9,sF7),sF6)
| spl10_4
| ~ spl10_8 ),
inference(subsumption_resolution,[],[f250,f153]) ).
fof(f153,plain,
( member(sK3(sF9,sF7),sK0)
| spl10_4 ),
inference(resolution,[],[f151,f113]) ).
fof(f113,plain,
! [X1] :
( ~ member(X1,sF9)
| member(X1,sK0) ),
inference(superposition,[],[f79,f91]) ).
fof(f151,plain,
( member(sK3(sF9,sF7),sF9)
| spl10_4 ),
inference(resolution,[],[f148,f61]) ).
fof(f61,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f250,plain,
( member(sK3(sF9,sF7),sF6)
| ~ member(sK3(sF9,sF7),sK0)
| ~ spl10_8 ),
inference(resolution,[],[f223,f166]) ).
fof(f166,plain,
! [X0] :
( ~ member(X0,sK1)
| member(X0,sF6)
| ~ member(X0,sK0) ),
inference(superposition,[],[f81,f88]) ).
fof(f223,plain,
( member(sK3(sF9,sF7),sK1)
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl10_8
<=> member(sK3(sF9,sF7),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f249,plain,
( spl10_4
| ~ spl10_7 ),
inference(avatar_contradiction_clause,[],[f248]) ).
fof(f248,plain,
( $false
| spl10_4
| ~ spl10_7 ),
inference(subsumption_resolution,[],[f243,f148]) ).
fof(f243,plain,
( subset(sF9,sF7)
| ~ spl10_7 ),
inference(resolution,[],[f219,f124]) ).
fof(f124,plain,
! [X0] :
( ~ member(sK3(X0,sF7),sK2)
| subset(X0,sF7) ),
inference(resolution,[],[f120,f62]) ).
fof(f120,plain,
! [X0] :
( member(X0,sF7)
| ~ member(X0,sK2) ),
inference(superposition,[],[f84,f89]) ).
fof(f219,plain,
( member(sK3(sF9,sF7),sK2)
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f217,plain,
( spl10_7
<=> member(sK3(sF9,sF7),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f224,plain,
( spl10_7
| spl10_8
| spl10_4 ),
inference(avatar_split_clause,[],[f176,f146,f221,f217]) ).
fof(f176,plain,
( member(sK3(sF9,sF7),sK1)
| member(sK3(sF9,sF7),sK2)
| spl10_4 ),
inference(resolution,[],[f171,f152]) ).
fof(f152,plain,
( member(sK3(sF9,sF7),sF8)
| spl10_4 ),
inference(resolution,[],[f151,f115]) ).
fof(f115,plain,
! [X1] :
( ~ member(X1,sF9)
| member(X1,sF8) ),
inference(superposition,[],[f80,f91]) ).
fof(f171,plain,
! [X1] :
( ~ member(X1,sF8)
| member(X1,sK1)
| member(X1,sK2) ),
inference(superposition,[],[f82,f90]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f185,plain,
( spl10_5
| spl10_6
| spl10_3 ),
inference(avatar_split_clause,[],[f174,f142,f182,f178]) ).
fof(f174,plain,
( member(sK3(sF7,sF9),sF6)
| member(sK3(sF7,sF9),sK2)
| spl10_3 ),
inference(resolution,[],[f170,f150]) ).
fof(f150,plain,
( member(sK3(sF7,sF9),sF7)
| spl10_3 ),
inference(resolution,[],[f144,f61]) ).
fof(f170,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sF6)
| member(X0,sK2) ),
inference(superposition,[],[f82,f89]) ).
fof(f149,plain,
( ~ spl10_3
| ~ spl10_4
| spl10_1 ),
inference(avatar_split_clause,[],[f139,f95,f146,f142]) ).
fof(f95,plain,
( spl10_1
<=> equal_set(sF7,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f139,plain,
( ~ subset(sF9,sF7)
| ~ subset(sF7,sF9)
| spl10_1 ),
inference(resolution,[],[f97,f59]) ).
fof(f59,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| ~ equal_set(X0,X1) ) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| ~ equal_set(X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.uYoUNuvVic/Vampire---4.8_26327',equal_set) ).
fof(f97,plain,
( ~ equal_set(sF7,sF9)
| spl10_1 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f138,plain,
( ~ spl10_1
| spl10_2 ),
inference(avatar_contradiction_clause,[],[f137]) ).
fof(f137,plain,
( $false
| ~ spl10_1
| spl10_2 ),
inference(subsumption_resolution,[],[f136,f101]) ).
fof(f101,plain,
( ~ subset(sK2,sK0)
| spl10_2 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f136,plain,
( subset(sK2,sK0)
| ~ spl10_1
| spl10_2 ),
inference(resolution,[],[f133,f62]) ).
fof(f133,plain,
( member(sK3(sK2,sK0),sK0)
| ~ spl10_1
| spl10_2 ),
inference(resolution,[],[f130,f113]) ).
fof(f130,plain,
( member(sK3(sK2,sK0),sF9)
| ~ spl10_1
| spl10_2 ),
inference(resolution,[],[f129,f110]) ).
fof(f110,plain,
( member(sK3(sK2,sK0),sK2)
| spl10_2 ),
inference(resolution,[],[f61,f101]) ).
fof(f129,plain,
( ! [X0] :
( ~ member(X0,sK2)
| member(X0,sF9) )
| ~ spl10_1 ),
inference(resolution,[],[f126,f120]) ).
fof(f126,plain,
( ! [X0] :
( ~ member(X0,sF7)
| member(X0,sF9) )
| ~ spl10_1 ),
inference(resolution,[],[f60,f106]) ).
fof(f106,plain,
( subset(sF7,sF9)
| ~ spl10_1 ),
inference(resolution,[],[f57,f96]) ).
fof(f96,plain,
( equal_set(sF7,sF9)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f57,plain,
! [X0,X1] :
( ~ equal_set(X0,X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f105,plain,
( spl10_1
| spl10_2 ),
inference(avatar_contradiction_clause,[],[f104]) ).
fof(f104,plain,
( $false
| spl10_1
| spl10_2 ),
inference(subsumption_resolution,[],[f103,f97]) ).
fof(f103,plain,
( equal_set(sF7,sF9)
| spl10_2 ),
inference(subsumption_resolution,[],[f93,f101]) ).
fof(f93,plain,
( subset(sK2,sK0)
| equal_set(sF7,sF9) ),
inference(definition_folding,[],[f54,f91,f90,f89,f88]) ).
fof(f54,plain,
( subset(sK2,sK0)
| equal_set(union(intersection(sK0,sK1),sK2),intersection(sK0,union(sK1,sK2))) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( ~ subset(sK2,sK0)
| ~ equal_set(union(intersection(sK0,sK1),sK2),intersection(sK0,union(sK1,sK2))) )
& ( subset(sK2,sK0)
| equal_set(union(intersection(sK0,sK1),sK2),intersection(sK0,union(sK1,sK2))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f27,f28]) ).
fof(f28,plain,
( ? [X0,X1,X2] :
( ( ~ subset(X2,X0)
| ~ equal_set(union(intersection(X0,X1),X2),intersection(X0,union(X1,X2))) )
& ( subset(X2,X0)
| equal_set(union(intersection(X0,X1),X2),intersection(X0,union(X1,X2))) ) )
=> ( ( ~ subset(sK2,sK0)
| ~ equal_set(union(intersection(sK0,sK1),sK2),intersection(sK0,union(sK1,sK2))) )
& ( subset(sK2,sK0)
| equal_set(union(intersection(sK0,sK1),sK2),intersection(sK0,union(sK1,sK2))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
? [X0,X1,X2] :
( ( ~ subset(X2,X0)
| ~ equal_set(union(intersection(X0,X1),X2),intersection(X0,union(X1,X2))) )
& ( subset(X2,X0)
| equal_set(union(intersection(X0,X1),X2),intersection(X0,union(X1,X2))) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
? [X0,X1,X2] :
( equal_set(union(intersection(X0,X1),X2),intersection(X0,union(X1,X2)))
<~> subset(X2,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0,X1,X2] :
( equal_set(union(intersection(X0,X1),X2),intersection(X0,union(X1,X2)))
<=> subset(X2,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0,X1,X5] :
( equal_set(union(intersection(X0,X1),X5),intersection(X0,union(X1,X5)))
<=> subset(X5,X0) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0,X1,X5] :
( equal_set(union(intersection(X0,X1),X5),intersection(X0,union(X1,X5)))
<=> subset(X5,X0) ),
file('/export/starexec/sandbox/tmp/tmp.uYoUNuvVic/Vampire---4.8_26327',thI12) ).
fof(f102,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f92,f99,f95]) ).
fof(f92,plain,
( ~ subset(sK2,sK0)
| ~ equal_set(sF7,sF9) ),
inference(definition_folding,[],[f55,f91,f90,f89,f88]) ).
fof(f55,plain,
( ~ subset(sK2,sK0)
| ~ equal_set(union(intersection(sK0,sK1),sK2),intersection(sK0,union(sK1,sK2))) ),
inference(cnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET690+4 : TPTP v8.1.2. Released v2.2.0.
% 0.15/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n013.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat Aug 26 14:54:47 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.uYoUNuvVic/Vampire---4.8_26327
% 0.15/0.38 % (26562)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (26566)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)
% 0.23/0.45 % (26570)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)
% 0.23/0.45 % (26569)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)
% 0.23/0.45 % (26569)Refutation not found, incomplete strategy% (26569)------------------------------
% 0.23/0.45 % (26569)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.45 % (26569)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.45 % (26569)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.45
% 0.23/0.45 % (26569)Memory used [KB]: 9978
% 0.23/0.45 % (26569)Time elapsed: 0.007 s
% 0.23/0.45 % (26569)------------------------------
% 0.23/0.45 % (26569)------------------------------
% 0.23/0.46 % (26572)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)
% 0.23/0.46 % (26567)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)
% 0.23/0.47 % (26568)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)
% 0.23/0.48 % (26571)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.23/0.50 % (26571)First to succeed.
% 0.23/0.51 % (26571)Refutation found. Thanks to Tanya!
% 0.23/0.51 % SZS status Theorem for Vampire---4
% 0.23/0.51 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.51 % (26571)------------------------------
% 0.23/0.51 % (26571)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.51 % (26571)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.51 % (26571)Termination reason: Refutation
% 0.23/0.51
% 0.23/0.51 % (26571)Memory used [KB]: 5884
% 0.23/0.51 % (26571)Time elapsed: 0.031 s
% 0.23/0.51 % (26571)------------------------------
% 0.23/0.51 % (26571)------------------------------
% 0.23/0.51 % (26562)Success in time 0.127 s
% 0.23/0.51 26567 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.uYoUNuvVic/Vampire---4.8_26327
% 0.23/0.51 % (26567)------------------------------
% 0.23/0.51 % (26567)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.51 % (26567)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.51 % (26567)Termination reason: Unknown
% 0.23/0.51 % (26567)Termination phase: Saturation
% 0.23/0.51
% 0.23/0.51 % (26567)Memory used [KB]: 895
% 0.23/0.51 % (26567)Time elapsed: 0.046 s
% 0.23/0.51 % (26567)------------------------------
% 0.23/0.51 % (26567)------------------------------
% 0.23/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------