TSTP Solution File: SET609+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET609+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 : n017.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 18:21:35 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% Number of atoms : 278 ( 20 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 307 ( 125 ~; 128 |; 33 &)
% ( 19 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 120 ( 108 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f168,plain,
$false,
inference(avatar_sat_refutation,[],[f106,f109,f123,f126,f129,f139,f149,f153,f155,f160,f165,f166,f167]) ).
fof(f167,plain,
( ~ spl6_3
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f161,f136,f116]) ).
fof(f116,plain,
( spl6_3
<=> member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f136,plain,
( spl6_6
<=> member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),difference(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f161,plain,
( ~ member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK2)
| ~ spl6_6 ),
inference(resolution,[],[f138,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ member(X1,difference(X0,X2))
| ~ member(X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( ( ~ member(X1,X2)
& member(X1,X0) )
| ~ member(X1,difference(X0,X2)) )
& ( member(X1,difference(X0,X2))
| member(X1,X2)
| ~ member(X1,X0) ) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ( ( ~ member(X0,X1)
& member(X0,X2) )
| ~ member(X0,difference(X2,X1)) )
& ( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) ) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ( ( ~ member(X0,X1)
& member(X0,X2) )
| ~ member(X0,difference(X2,X1)) )
& ( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X2,X0,X1] :
( ( ~ member(X0,X1)
& member(X0,X2) )
<=> member(X0,difference(X2,X1)) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X1,X0] :
( ( member(X2,X0)
& ~ member(X2,X1) )
<=> member(X2,difference(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
fof(f138,plain,
( member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),difference(sK1,sK2))
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f166,plain,
( spl6_4
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f162,f136,f120]) ).
fof(f120,plain,
( spl6_4
<=> member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f162,plain,
( member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK1)
| ~ spl6_6 ),
inference(resolution,[],[f138,f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ member(X1,difference(X0,X2))
| member(X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f165,plain,
( ~ spl6_4
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f156,f142,f120]) ).
fof(f142,plain,
( spl6_7
<=> member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),difference(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f156,plain,
( ~ member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK1)
| ~ spl6_7 ),
inference(resolution,[],[f144,f64]) ).
fof(f144,plain,
( member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),difference(sK3,sK1))
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f160,plain,
( spl6_5
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f157,f142,f132]) ).
fof(f132,plain,
( spl6_5
<=> member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f157,plain,
( member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK3)
| ~ spl6_7 ),
inference(resolution,[],[f144,f63]) ).
fof(f155,plain,
( spl6_3
| ~ spl6_8 ),
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f154,plain,
( $false
| spl6_3
| ~ spl6_8 ),
inference(subsumption_resolution,[],[f151,f117]) ).
fof(f117,plain,
( ~ member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK2)
| spl6_3 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f151,plain,
( member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK2)
| ~ spl6_8 ),
inference(resolution,[],[f148,f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X1,X0))
| member(X2,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X1,X0))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X1,X0)) ) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ( member(X1,intersection(X0,X2))
| ~ member(X1,X0)
| ~ member(X1,X2) )
& ( ( member(X1,X0)
& member(X1,X2) )
| ~ member(X1,intersection(X0,X2)) ) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ( member(X1,intersection(X0,X2))
| ~ member(X1,X0)
| ~ member(X1,X2) )
& ( ( member(X1,X0)
& member(X1,X2) )
| ~ member(X1,intersection(X0,X2)) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X2,X0,X1] :
( member(X1,intersection(X0,X2))
<=> ( member(X1,X0)
& member(X1,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X2,X1] :
( ( member(X2,X0)
& member(X2,X1) )
<=> member(X2,intersection(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
fof(f148,plain,
( member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),intersection(sK3,sK2))
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl6_8
<=> member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),intersection(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f153,plain,
( spl6_5
| ~ spl6_8 ),
inference(avatar_contradiction_clause,[],[f152]) ).
fof(f152,plain,
( $false
| spl6_5
| ~ spl6_8 ),
inference(subsumption_resolution,[],[f150,f134]) ).
fof(f134,plain,
( ~ member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK3)
| spl6_5 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f150,plain,
( member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK3)
| ~ spl6_8 ),
inference(resolution,[],[f148,f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X1,X0))
| member(X2,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f149,plain,
( spl6_7
| spl6_8
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f140,f103,f146,f142]) ).
fof(f103,plain,
( spl6_2
<=> member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),union(difference(sK3,sK1),intersection(sK3,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f140,plain,
( member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),intersection(sK3,sK2))
| member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),difference(sK3,sK1))
| ~ spl6_2 ),
inference(resolution,[],[f104,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X1)
| member(X2,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( member(X2,union(X0,X1))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) )
& ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X0,X1)) ) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X0,X2,X1] :
( ( member(X1,union(X0,X2))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) )
& ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X0,X2)) ) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0,X2,X1] :
( ( member(X1,union(X0,X2))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) )
& ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X0,X2)) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X2,X1] :
( member(X1,union(X0,X2))
<=> ( member(X1,X2)
| member(X1,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0,X2,X1] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f104,plain,
( member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),union(difference(sK3,sK1),intersection(sK3,sK2)))
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f139,plain,
( ~ spl6_5
| spl6_6
| spl6_1 ),
inference(avatar_split_clause,[],[f130,f99,f136,f132]) ).
fof(f99,plain,
( spl6_1
<=> member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),difference(sK3,difference(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f130,plain,
( member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),difference(sK1,sK2))
| ~ member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK3)
| spl6_1 ),
inference(resolution,[],[f101,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( member(X1,difference(X0,X2))
| member(X1,X2)
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f101,plain,
( ~ member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),difference(sK3,difference(sK1,sK2)))
| spl6_1 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f129,plain,
( spl6_4
| ~ spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f128,f103,f99,f120]) ).
fof(f128,plain,
( member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK1)
| ~ spl6_1
| spl6_2 ),
inference(subsumption_resolution,[],[f127,f111]) ).
fof(f111,plain,
( member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK3)
| ~ spl6_1 ),
inference(resolution,[],[f100,f63]) ).
fof(f100,plain,
( member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),difference(sK3,difference(sK1,sK2)))
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f127,plain,
( member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK1)
| ~ member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK3)
| spl6_2 ),
inference(resolution,[],[f113,f62]) ).
fof(f113,plain,
( ~ member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),difference(sK3,sK1))
| spl6_2 ),
inference(resolution,[],[f105,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f105,plain,
( ~ member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),union(difference(sK3,sK1),intersection(sK3,sK2)))
| spl6_2 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f126,plain,
( ~ spl6_3
| ~ spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f125,f103,f99,f116]) ).
fof(f125,plain,
( ~ member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK2)
| ~ spl6_1
| spl6_2 ),
inference(subsumption_resolution,[],[f124,f111]) ).
fof(f124,plain,
( ~ member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK3)
| ~ member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK2)
| spl6_2 ),
inference(resolution,[],[f112,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( member(X2,intersection(X1,X0))
| ~ member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f112,plain,
( ~ member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),intersection(sK3,sK2))
| spl6_2 ),
inference(resolution,[],[f105,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f123,plain,
( spl6_3
| ~ spl6_4
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f114,f99,f120,f116]) ).
fof(f114,plain,
( ~ member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK1)
| member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),sK2)
| ~ spl6_1 ),
inference(resolution,[],[f110,f62]) ).
fof(f110,plain,
( ~ member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),difference(sK1,sK2))
| ~ spl6_1 ),
inference(resolution,[],[f100,f64]) ).
fof(f109,plain,
( spl6_2
| spl6_1 ),
inference(avatar_split_clause,[],[f107,f99,f103]) ).
fof(f107,plain,
( member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),difference(sK3,difference(sK1,sK2)))
| member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),union(difference(sK3,sK1),intersection(sK3,sK2))) ),
inference(resolution,[],[f77,f75]) ).
fof(f75,plain,
~ sQ5_eqProxy(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),
inference(equality_proxy_replacement,[],[f53,f73]) ).
fof(f73,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ5_eqProxy])]) ).
fof(f53,plain,
difference(sK3,difference(sK1,sK2)) != union(difference(sK3,sK1),intersection(sK3,sK2)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
difference(sK3,difference(sK1,sK2)) != union(difference(sK3,sK1),intersection(sK3,sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f29,f30]) ).
fof(f30,plain,
( ? [X0,X1,X2] : union(difference(X2,X0),intersection(X2,X1)) != difference(X2,difference(X0,X1))
=> difference(sK3,difference(sK1,sK2)) != union(difference(sK3,sK1),intersection(sK3,sK2)) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0,X1,X2] : union(difference(X2,X0),intersection(X2,X1)) != difference(X2,difference(X0,X1)),
inference(rectify,[],[f21]) ).
fof(f21,plain,
? [X1,X0,X2] : union(difference(X2,X1),intersection(X2,X0)) != difference(X2,difference(X1,X0)),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
~ ! [X1,X2,X0] : union(difference(X2,X1),intersection(X2,X0)) = difference(X2,difference(X1,X0)),
inference(rectify,[],[f11]) ).
fof(f11,negated_conjecture,
~ ! [X2,X1,X0] : difference(X0,difference(X1,X2)) = union(difference(X0,X1),intersection(X0,X2)),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
! [X2,X1,X0] : difference(X0,difference(X1,X2)) = union(difference(X0,X1),intersection(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th81) ).
fof(f77,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| member(sK4(X0,X1),X0)
| member(sK4(X0,X1),X1) ),
inference(equality_proxy_replacement,[],[f54,f73]) ).
fof(f54,plain,
! [X0,X1] :
( X0 = X1
| member(sK4(X0,X1),X0)
| member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( ! [X2] :
( ( member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X0)
| ~ member(X2,X1) ) )
| X0 != X1 )
& ( X0 = X1
| ( ( ~ member(sK4(X0,X1),X0)
| ~ member(sK4(X0,X1),X1) )
& ( member(sK4(X0,X1),X0)
| member(sK4(X0,X1),X1) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f33,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ? [X3] :
( ( ~ member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X0)
| member(X3,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(f33,plain,
! [X0,X1] :
( ( ! [X2] :
( ( member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X0)
| ~ member(X2,X1) ) )
| X0 != X1 )
& ( X0 = X1
| ? [X3] :
( ( ~ member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X0)
| member(X3,X1) ) ) ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X0] :
( ( ! [X2] :
( ( member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X1)
| ~ member(X2,X0) ) )
| X0 != X1 )
& ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
<=> member(X2,X1) )
<=> X0 = X1 ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( X0 = X1
<=> ! [X2] :
( member(X2,X1)
<=> member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f106,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f96,f103,f99]) ).
fof(f96,plain,
( ~ member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),union(difference(sK3,sK1),intersection(sK3,sK2)))
| ~ member(sK4(difference(sK3,difference(sK1,sK2)),union(difference(sK3,sK1),intersection(sK3,sK2))),difference(sK3,difference(sK1,sK2))) ),
inference(resolution,[],[f76,f75]) ).
fof(f76,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| ~ member(sK4(X0,X1),X0)
| ~ member(sK4(X0,X1),X1) ),
inference(equality_proxy_replacement,[],[f55,f73]) ).
fof(f55,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK4(X0,X1),X0)
| ~ member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET609+3 : 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
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 13:29:35 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.48 % (872)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)
% 0.20/0.48 % (880)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.49 % (888)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)
% 0.20/0.49 % (882)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)
% 0.20/0.49 % (884)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)
% 0.20/0.49 % (876)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)
% 0.20/0.49 % (884)First to succeed.
% 0.20/0.50 % (872)Refutation not found, incomplete strategy% (872)------------------------------
% 0.20/0.50 % (872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (872)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (872)Memory used [KB]: 1407
% 0.20/0.50 % (872)Time elapsed: 0.117 s
% 0.20/0.50 % (872)Instructions burned: 2 (million)
% 0.20/0.50 % (872)------------------------------
% 0.20/0.50 % (872)------------------------------
% 0.20/0.50 % (884)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (884)------------------------------
% 0.20/0.50 % (884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (884)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (884)Memory used [KB]: 6012
% 0.20/0.50 % (884)Time elapsed: 0.122 s
% 0.20/0.50 % (884)Instructions burned: 3 (million)
% 0.20/0.50 % (884)------------------------------
% 0.20/0.50 % (884)------------------------------
% 0.20/0.50 % (859)Success in time 0.151 s
%------------------------------------------------------------------------------