TSTP Solution File: SET169+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET169+3 : 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 : n011.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 18:19:37 EDT 2022
% Result : Theorem 0.21s 0.59s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 98 ( 9 unt; 0 def)
% Number of atoms : 271 ( 19 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 294 ( 121 ~; 132 |; 25 &)
% ( 14 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 90 ( 78 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f224,plain,
$false,
inference(avatar_sat_refutation,[],[f111,f139,f144,f145,f153,f155,f175,f177,f186,f198,f200,f203,f212,f215,f219,f223]) ).
fof(f223,plain,
( spl6_5
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f222]) ).
fof(f222,plain,
( $false
| spl6_5
| ~ spl6_9 ),
inference(subsumption_resolution,[],[f221,f181]) ).
fof(f181,plain,
( member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK2)
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl6_9
<=> member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f221,plain,
( ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK2)
| spl6_5 ),
inference(resolution,[],[f116,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) )
& ( member(X0,union(X1,X2))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) ) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X2,X0,X1] :
( ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) )
& ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) )
& ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ( member(X2,X1)
| member(X2,X0) )
<=> member(X2,union(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f116,plain,
( ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),union(sK2,sK1))
| spl6_5 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl6_5
<=> member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),union(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f219,plain,
( spl6_8
| ~ spl6_4
| spl6_7 ),
inference(avatar_split_clause,[],[f218,f131,f108,f135]) ).
fof(f135,plain,
( spl6_8
<=> member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),intersection(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f108,plain,
( spl6_4
<=> member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),union(intersection(sK3,sK2),intersection(sK3,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f131,plain,
( spl6_7
<=> member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),intersection(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f218,plain,
( member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),intersection(sK3,sK2))
| ~ spl6_4
| spl6_7 ),
inference(subsumption_resolution,[],[f216,f132]) ).
fof(f132,plain,
( ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),intersection(sK3,sK1))
| spl6_7 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f216,plain,
( member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),intersection(sK3,sK2))
| member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),intersection(sK3,sK1))
| ~ spl6_4 ),
inference(resolution,[],[f109,f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f109,plain,
( member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),union(intersection(sK3,sK2),intersection(sK3,sK1)))
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f215,plain,
( ~ spl6_5
| spl6_3
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f214,f118,f104,f114]) ).
fof(f104,plain,
( spl6_3
<=> member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),intersection(sK3,union(sK2,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f118,plain,
( spl6_6
<=> member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f214,plain,
( ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),union(sK2,sK1))
| spl6_3
| ~ spl6_6 ),
inference(subsumption_resolution,[],[f213,f119]) ).
fof(f119,plain,
( member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK3)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f213,plain,
( ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK3)
| ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),union(sK2,sK1))
| spl6_3 ),
inference(resolution,[],[f106,f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( member(X1,intersection(X0,X2))
| ~ member(X1,X2)
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( ( member(X1,X0)
& member(X1,X2) )
| ~ member(X1,intersection(X0,X2)) )
& ( member(X1,intersection(X0,X2))
| ~ member(X1,X0)
| ~ member(X1,X2) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X2,X1,X0] :
( ( ( member(X1,X2)
& member(X1,X0) )
| ~ member(X1,intersection(X2,X0)) )
& ( member(X1,intersection(X2,X0))
| ~ member(X1,X2)
| ~ member(X1,X0) ) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X2,X1,X0] :
( ( ( member(X1,X2)
& member(X1,X0) )
| ~ member(X1,intersection(X2,X0)) )
& ( member(X1,intersection(X2,X0))
| ~ member(X1,X2)
| ~ member(X1,X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X2,X1,X0] :
( ( member(X1,X2)
& member(X1,X0) )
<=> member(X1,intersection(X2,X0)) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2,X0] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
fof(f106,plain,
( ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),intersection(sK3,union(sK2,sK1)))
| spl6_3 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f212,plain,
( ~ spl6_6
| spl6_8
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f211]) ).
fof(f211,plain,
( $false
| ~ spl6_6
| spl6_8
| ~ spl6_9 ),
inference(subsumption_resolution,[],[f210,f119]) ).
fof(f210,plain,
( ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK3)
| spl6_8
| ~ spl6_9 ),
inference(subsumption_resolution,[],[f209,f181]) ).
fof(f209,plain,
( ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK2)
| ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK3)
| spl6_8 ),
inference(resolution,[],[f136,f45]) ).
fof(f136,plain,
( ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),intersection(sK3,sK2))
| spl6_8 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f203,plain,
( ~ spl6_10
| ~ spl6_6
| spl6_7 ),
inference(avatar_split_clause,[],[f194,f131,f118,f183]) ).
fof(f183,plain,
( spl6_10
<=> member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f194,plain,
( ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK3)
| ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK1)
| spl6_7 ),
inference(resolution,[],[f132,f45]) ).
fof(f200,plain,
( spl6_6
| ~ spl6_8 ),
inference(avatar_contradiction_clause,[],[f199]) ).
fof(f199,plain,
( $false
| spl6_6
| ~ spl6_8 ),
inference(subsumption_resolution,[],[f195,f120]) ).
fof(f120,plain,
( ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK3)
| spl6_6 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f195,plain,
( member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK3)
| ~ spl6_8 ),
inference(resolution,[],[f137,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ member(X1,intersection(X0,X2))
| member(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f137,plain,
( member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),intersection(sK3,sK2))
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f198,plain,
( spl6_9
| ~ spl6_8 ),
inference(avatar_split_clause,[],[f196,f135,f179]) ).
fof(f196,plain,
( member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK2)
| ~ spl6_8 ),
inference(resolution,[],[f137,f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ member(X1,intersection(X0,X2))
| member(X1,X2) ),
inference(cnf_transformation,[],[f27]) ).
fof(f186,plain,
( spl6_9
| spl6_10
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f158,f114,f183,f179]) ).
fof(f158,plain,
( member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK1)
| member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK2)
| ~ spl6_5 ),
inference(resolution,[],[f115,f44]) ).
fof(f115,plain,
( member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),union(sK2,sK1))
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f177,plain,
( spl6_4
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f176]) ).
fof(f176,plain,
( $false
| spl6_4
| ~ spl6_7 ),
inference(subsumption_resolution,[],[f173,f133]) ).
fof(f133,plain,
( member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),intersection(sK3,sK1))
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f173,plain,
( ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),intersection(sK3,sK1))
| spl6_4 ),
inference(resolution,[],[f110,f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f110,plain,
( ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),union(intersection(sK3,sK2),intersection(sK3,sK1)))
| spl6_4 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f175,plain,
( ~ spl6_8
| spl6_4 ),
inference(avatar_split_clause,[],[f174,f108,f135]) ).
fof(f174,plain,
( ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),intersection(sK3,sK2))
| spl6_4 ),
inference(resolution,[],[f110,f42]) ).
fof(f155,plain,
( spl6_5
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f154,plain,
( $false
| spl6_5
| ~ spl6_7 ),
inference(subsumption_resolution,[],[f151,f126]) ).
fof(f126,plain,
( ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK1)
| spl6_5 ),
inference(resolution,[],[f116,f43]) ).
fof(f151,plain,
( member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK1)
| ~ spl6_7 ),
inference(resolution,[],[f133,f46]) ).
fof(f153,plain,
( spl6_6
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f150,f131,f118]) ).
fof(f150,plain,
( member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK3)
| ~ spl6_7 ),
inference(resolution,[],[f133,f47]) ).
fof(f145,plain,
( spl6_6
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f140,f104,f118]) ).
fof(f140,plain,
( member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),sK3)
| ~ spl6_3 ),
inference(resolution,[],[f105,f47]) ).
fof(f105,plain,
( member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),intersection(sK3,union(sK2,sK1)))
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f144,plain,
( ~ spl6_3
| spl6_5 ),
inference(avatar_contradiction_clause,[],[f143]) ).
fof(f143,plain,
( $false
| ~ spl6_3
| spl6_5 ),
inference(subsumption_resolution,[],[f141,f116]) ).
fof(f141,plain,
( member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),union(sK2,sK1))
| ~ spl6_3 ),
inference(resolution,[],[f105,f46]) ).
fof(f139,plain,
( spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f122,f108,f104]) ).
fof(f122,plain,
( member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),union(intersection(sK3,sK2),intersection(sK3,sK1)))
| member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),intersection(sK3,union(sK2,sK1))) ),
inference(resolution,[],[f67,f65]) ).
fof(f65,plain,
~ sQ5_eqProxy(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),
inference(equality_proxy_replacement,[],[f50,f62]) ).
fof(f62,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ5_eqProxy])]) ).
fof(f50,plain,
intersection(sK3,union(sK2,sK1)) != union(intersection(sK3,sK2),intersection(sK3,sK1)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
intersection(sK3,union(sK2,sK1)) != union(intersection(sK3,sK2),intersection(sK3,sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f28,f29]) ).
fof(f29,plain,
( ? [X0,X1,X2] : union(intersection(X2,X1),intersection(X2,X0)) != intersection(X2,union(X1,X0))
=> intersection(sK3,union(sK2,sK1)) != union(intersection(sK3,sK2),intersection(sK3,sK1)) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0,X1,X2] : union(intersection(X2,X1),intersection(X2,X0)) != intersection(X2,union(X1,X0)),
inference(rectify,[],[f15]) ).
fof(f15,plain,
? [X0,X2,X1] : union(intersection(X1,X2),intersection(X1,X0)) != intersection(X1,union(X2,X0)),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
~ ! [X0,X1,X2] : union(intersection(X1,X2),intersection(X1,X0)) = intersection(X1,union(X2,X0)),
inference(rectify,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X2,X0,X1] : intersection(X0,union(X1,X2)) = union(intersection(X0,X1),intersection(X0,X2)),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X2,X0,X1] : intersection(X0,union(X1,X2)) = union(intersection(X0,X1),intersection(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_intersection_distributes_over_union) ).
fof(f67,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| member(sK4(X0,X1),X0)
| member(sK4(X0,X1),X1) ),
inference(equality_proxy_replacement,[],[f53,f62]) ).
fof(f53,plain,
! [X0,X1] :
( X0 = X1
| member(sK4(X0,X1),X0)
| member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( X0 = X1
| ( ( ~ member(sK4(X0,X1),X0)
| ~ member(sK4(X0,X1),X1) )
& ( member(sK4(X0,X1),X0)
| member(sK4(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( member(X3,X1)
| ~ member(X3,X0) )
& ( member(X3,X0)
| ~ member(X3,X1) ) )
| X0 != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f32,f33]) ).
fof(f33,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X0)
| member(X2,X1) ) )
=> ( ( ~ member(sK4(X0,X1),X0)
| ~ member(sK4(X0,X1),X1) )
& ( member(sK4(X0,X1),X0)
| member(sK4(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X0)
| member(X2,X1) ) ) )
& ( ! [X3] :
( ( member(X3,X1)
| ~ member(X3,X0) )
& ( member(X3,X0)
| ~ member(X3,X1) ) )
| X0 != X1 ) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X2] :
( ( member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X1)
| ~ member(X2,X0) ) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f111,plain,
( ~ spl6_3
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f101,f108,f104]) ).
fof(f101,plain,
( ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),union(intersection(sK3,sK2),intersection(sK3,sK1)))
| ~ member(sK4(intersection(sK3,union(sK2,sK1)),union(intersection(sK3,sK2),intersection(sK3,sK1))),intersection(sK3,union(sK2,sK1))) ),
inference(resolution,[],[f66,f65]) ).
fof(f66,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| ~ member(sK4(X0,X1),X1)
| ~ member(sK4(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f54,f62]) ).
fof(f54,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK4(X0,X1),X0)
| ~ member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET169+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 13:21:55 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.57 % (24747)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.57 % (24739)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)
% 0.21/0.57 % (24731)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)
% 0.21/0.58 % (24731)Refutation not found, incomplete strategy% (24731)------------------------------
% 0.21/0.58 % (24731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (24731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (24731)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.58
% 0.21/0.58 % (24731)Memory used [KB]: 5884
% 0.21/0.58 % (24731)Time elapsed: 0.140 s
% 0.21/0.58 % (24731)Instructions burned: 2 (million)
% 0.21/0.58 % (24731)------------------------------
% 0.21/0.58 % (24731)------------------------------
% 0.21/0.58 % (24739)Refutation not found, incomplete strategy% (24739)------------------------------
% 0.21/0.58 % (24739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (24739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (24739)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.58
% 0.21/0.58 % (24739)Memory used [KB]: 6012
% 0.21/0.58 % (24739)Time elapsed: 0.145 s
% 0.21/0.58 % (24739)Instructions burned: 3 (million)
% 0.21/0.58 % (24739)------------------------------
% 0.21/0.58 % (24739)------------------------------
% 0.21/0.58 % (24729)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.59 % (24747)First to succeed.
% 0.21/0.59 % (24747)Refutation found. Thanks to Tanya!
% 0.21/0.59 % SZS status Theorem for theBenchmark
% 0.21/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.59 % (24747)------------------------------
% 0.21/0.59 % (24747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (24747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (24747)Termination reason: Refutation
% 0.21/0.59
% 0.21/0.59 % (24747)Memory used [KB]: 6012
% 0.21/0.59 % (24747)Time elapsed: 0.151 s
% 0.21/0.59 % (24747)Instructions burned: 6 (million)
% 0.21/0.59 % (24747)------------------------------
% 0.21/0.59 % (24747)------------------------------
% 0.21/0.59 % (24722)Success in time 0.231 s
%------------------------------------------------------------------------------