TSTP Solution File: SET635+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET635+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 : 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 18:21:42 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 95 ( 8 unt; 0 def)
% Number of atoms : 265 ( 19 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 291 ( 121 ~; 124 |; 27 &)
% ( 17 <=>; 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 : 93 ( 81 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f310,plain,
$false,
inference(avatar_sat_refutation,[],[f106,f107,f148,f164,f216,f217,f239,f244,f245,f250,f269,f298,f307,f309]) ).
fof(f309,plain,
( ~ spl6_2
| spl6_9 ),
inference(avatar_contradiction_clause,[],[f308]) ).
fof(f308,plain,
( $false
| ~ spl6_2
| spl6_9 ),
inference(subsumption_resolution,[],[f272,f243]) ).
fof(f243,plain,
( ~ member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),difference(sK0,sK1))
| spl6_9 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl6_9
<=> member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),difference(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f272,plain,
( member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),difference(sK0,sK1))
| ~ spl6_2 ),
inference(resolution,[],[f104,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( member(X1,X2)
| ~ member(X1,intersection(X0,X2)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( member(X1,intersection(X0,X2))
| ~ member(X1,X0)
| ~ member(X1,X2) )
& ( ( member(X1,X0)
& member(X1,X2) )
| ~ member(X1,intersection(X0,X2)) ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X0,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) )
& ( ( member(X0,X1)
& member(X0,X2) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X1,X0,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) )
& ( ( member(X0,X1)
& member(X0,X2) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X0,X2] :
( member(X0,intersection(X1,X2))
<=> ( member(X0,X1)
& member(X0,X2) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
fof(f104,plain,
( member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),intersection(sK2,difference(sK0,sK1)))
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl6_2
<=> member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),intersection(sK2,difference(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f307,plain,
( ~ spl6_9
| ~ spl6_10 ),
inference(avatar_contradiction_clause,[],[f306]) ).
fof(f306,plain,
( $false
| ~ spl6_9
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f300,f248]) ).
fof(f248,plain,
( member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK1)
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl6_10
<=> member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f300,plain,
( ~ member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK1)
| ~ spl6_9 ),
inference(resolution,[],[f242,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X1,X0))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X1,X0))
| ~ member(X2,X1)
| member(X2,X0) )
& ( ( member(X2,X1)
& ~ member(X2,X0) )
| ~ member(X2,difference(X1,X0)) ) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X2,X1,X0] :
( ( member(X0,difference(X1,X2))
| ~ member(X0,X1)
| member(X0,X2) )
& ( ( member(X0,X1)
& ~ member(X0,X2) )
| ~ member(X0,difference(X1,X2)) ) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X2,X1,X0] :
( ( member(X0,difference(X1,X2))
| ~ member(X0,X1)
| member(X0,X2) )
& ( ( member(X0,X1)
& ~ member(X0,X2) )
| ~ member(X0,difference(X1,X2)) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X2,X1,X0] :
( member(X0,difference(X1,X2))
<=> ( member(X0,X1)
& ~ member(X0,X2) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
<=> ( member(X2,X0)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
fof(f242,plain,
( member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),difference(sK0,sK1))
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f298,plain,
( ~ spl6_5
| spl6_10 ),
inference(avatar_contradiction_clause,[],[f297]) ).
fof(f297,plain,
( $false
| ~ spl6_5
| spl6_10 ),
inference(subsumption_resolution,[],[f291,f249]) ).
fof(f249,plain,
( ~ member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK1)
| spl6_10 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f291,plain,
( member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK1)
| ~ spl6_5 ),
inference(resolution,[],[f143,f55]) ).
fof(f143,plain,
( member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),intersection(sK2,sK1))
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl6_5
<=> member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),intersection(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f269,plain,
( ~ spl6_8
| spl6_9
| spl6_10 ),
inference(avatar_contradiction_clause,[],[f268]) ).
fof(f268,plain,
( $false
| ~ spl6_8
| spl6_9
| spl6_10 ),
inference(subsumption_resolution,[],[f267,f249]) ).
fof(f267,plain,
( member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK1)
| ~ spl6_8
| spl6_9 ),
inference(subsumption_resolution,[],[f261,f171]) ).
fof(f171,plain,
( member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK0)
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl6_8
<=> member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f261,plain,
( ~ member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK0)
| member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK1)
| spl6_9 ),
inference(resolution,[],[f243,f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| member(X2,difference(X1,X0))
| member(X2,X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f250,plain,
( ~ spl6_7
| ~ spl6_10
| spl6_5 ),
inference(avatar_split_clause,[],[f221,f141,f247,f166]) ).
fof(f166,plain,
( spl6_7
<=> member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f221,plain,
( ~ member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK1)
| ~ member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK2)
| spl6_5 ),
inference(resolution,[],[f142,f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ member(X1,X0)
| ~ member(X1,X2)
| member(X1,intersection(X0,X2)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f142,plain,
( ~ member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),intersection(sK2,sK1))
| spl6_5 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f245,plain,
( spl6_7
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f228,f145,f166]) ).
fof(f145,plain,
( spl6_6
<=> member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),intersection(sK2,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f228,plain,
( member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK2)
| ~ spl6_6 ),
inference(resolution,[],[f146,f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ member(X1,intersection(X0,X2))
| member(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f146,plain,
( member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),intersection(sK2,sK0))
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f244,plain,
( ~ spl6_7
| ~ spl6_9
| spl6_2 ),
inference(avatar_split_clause,[],[f189,f103,f241,f166]) ).
fof(f189,plain,
( ~ member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),difference(sK0,sK1))
| ~ member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK2)
| spl6_2 ),
inference(resolution,[],[f105,f57]) ).
fof(f105,plain,
( ~ member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),intersection(sK2,difference(sK0,sK1)))
| spl6_2 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f239,plain,
( spl6_8
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f229,f145,f170]) ).
fof(f229,plain,
( member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK0)
| ~ spl6_6 ),
inference(resolution,[],[f146,f55]) ).
fof(f217,plain,
( spl6_6
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f207,f99,f145]) ).
fof(f99,plain,
( spl6_1
<=> member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),difference(intersection(sK2,sK0),intersection(sK2,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f207,plain,
( member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),intersection(sK2,sK0))
| ~ spl6_1 ),
inference(resolution,[],[f100,f72]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X1,X0))
| member(X2,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f100,plain,
( member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),difference(intersection(sK2,sK0),intersection(sK2,sK1)))
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f216,plain,
( ~ spl6_5
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f208,f99,f141]) ).
fof(f208,plain,
( ~ member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),intersection(sK2,sK1))
| ~ spl6_1 ),
inference(resolution,[],[f100,f71]) ).
fof(f164,plain,
( ~ spl6_2
| spl6_6 ),
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f163,plain,
( $false
| ~ spl6_2
| spl6_6 ),
inference(subsumption_resolution,[],[f162,f121]) ).
fof(f121,plain,
( member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK2)
| ~ spl6_2 ),
inference(resolution,[],[f104,f56]) ).
fof(f162,plain,
( ~ member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK2)
| ~ spl6_2
| spl6_6 ),
inference(subsumption_resolution,[],[f156,f149]) ).
fof(f149,plain,
( member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK0)
| ~ spl6_2 ),
inference(resolution,[],[f122,f72]) ).
fof(f122,plain,
( member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),difference(sK0,sK1))
| ~ spl6_2 ),
inference(resolution,[],[f104,f55]) ).
fof(f156,plain,
( ~ member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK0)
| ~ member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),sK2)
| spl6_6 ),
inference(resolution,[],[f147,f57]) ).
fof(f147,plain,
( ~ member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),intersection(sK2,sK0))
| spl6_6 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f148,plain,
( spl6_5
| ~ spl6_6
| spl6_1 ),
inference(avatar_split_clause,[],[f134,f99,f145,f141]) ).
fof(f134,plain,
( ~ member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),intersection(sK2,sK0))
| member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),intersection(sK2,sK1))
| spl6_1 ),
inference(resolution,[],[f101,f73]) ).
fof(f101,plain,
( ~ member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),difference(intersection(sK2,sK0),intersection(sK2,sK1)))
| spl6_1 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f107,plain,
( spl6_2
| spl6_1 ),
inference(avatar_split_clause,[],[f96,f99,f103]) ).
fof(f96,plain,
( member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),difference(intersection(sK2,sK0),intersection(sK2,sK1)))
| member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),intersection(sK2,difference(sK0,sK1))) ),
inference(resolution,[],[f86,f88]) ).
fof(f88,plain,
! [X0,X1] :
( member(sK3(X0,X1),X0)
| sQ5_eqProxy(X0,X1)
| member(sK3(X0,X1),X1) ),
inference(equality_proxy_replacement,[],[f60,f82]) ).
fof(f82,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ5_eqProxy])]) ).
fof(f60,plain,
! [X0,X1] :
( X0 = X1
| member(sK3(X0,X1),X0)
| member(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( X0 = X1
| ( ( ~ member(sK3(X0,X1),X0)
| ~ member(sK3(X0,X1),X1) )
& ( member(sK3(X0,X1),X0)
| member(sK3(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,[sK3])],[f35,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X0)
| member(X2,X1) ) )
=> ( ( ~ member(sK3(X0,X1),X0)
| ~ member(sK3(X0,X1),X1) )
& ( member(sK3(X0,X1),X0)
| member(sK3(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,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,[],[f34]) ).
fof(f34,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,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
<=> member(X2,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f86,plain,
~ sQ5_eqProxy(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),
inference(equality_proxy_replacement,[],[f54,f82]) ).
fof(f54,plain,
difference(intersection(sK2,sK0),intersection(sK2,sK1)) != intersection(sK2,difference(sK0,sK1)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
difference(intersection(sK2,sK0),intersection(sK2,sK1)) != intersection(sK2,difference(sK0,sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f28,f29]) ).
fof(f29,plain,
( ? [X0,X1,X2] : difference(intersection(X2,X0),intersection(X2,X1)) != intersection(X2,difference(X0,X1))
=> difference(intersection(sK2,sK0),intersection(sK2,sK1)) != intersection(sK2,difference(sK0,sK1)) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0,X1,X2] : difference(intersection(X2,X0),intersection(X2,X1)) != intersection(X2,difference(X0,X1)),
inference(rectify,[],[f26]) ).
fof(f26,plain,
? [X1,X2,X0] : intersection(X0,difference(X1,X2)) != difference(intersection(X0,X1),intersection(X0,X2)),
inference(ennf_transformation,[],[f17]) ).
fof(f17,negated_conjecture,
~ ! [X0,X2,X1] : intersection(X0,difference(X1,X2)) = difference(intersection(X0,X1),intersection(X0,X2)),
inference(negated_conjecture,[],[f16]) ).
fof(f16,conjecture,
! [X0,X2,X1] : intersection(X0,difference(X1,X2)) = difference(intersection(X0,X1),intersection(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th117) ).
fof(f106,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f97,f103,f99]) ).
fof(f97,plain,
( ~ member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),intersection(sK2,difference(sK0,sK1)))
| ~ member(sK3(difference(intersection(sK2,sK0),intersection(sK2,sK1)),intersection(sK2,difference(sK0,sK1))),difference(intersection(sK2,sK0),intersection(sK2,sK1))) ),
inference(resolution,[],[f86,f87]) ).
fof(f87,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f61,f82]) ).
fof(f61,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK3(X0,X1),X0)
| ~ member(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET635+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % 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 14:09:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.48 % (14604)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.49 % (14600)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)
% 0.20/0.49 % (14604)Refutation not found, incomplete strategy% (14604)------------------------------
% 0.20/0.49 % (14604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (14605)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)
% 0.20/0.50 % (14600)Refutation not found, incomplete strategy% (14600)------------------------------
% 0.20/0.50 % (14600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (14600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (14600)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (14600)Memory used [KB]: 5884
% 0.20/0.50 % (14600)Time elapsed: 0.111 s
% 0.20/0.50 % (14600)Instructions burned: 2 (million)
% 0.20/0.50 % (14600)------------------------------
% 0.20/0.50 % (14600)------------------------------
% 0.20/0.50 % (14617)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50 % (14604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (14604)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (14604)Memory used [KB]: 1407
% 0.20/0.50 % (14604)Time elapsed: 0.105 s
% 0.20/0.50 % (14604)Instructions burned: 2 (million)
% 0.20/0.50 % (14604)------------------------------
% 0.20/0.50 % (14604)------------------------------
% 0.20/0.50 % (14625)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.50 % (14610)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)
% 0.20/0.50 % (14622)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)
% 0.20/0.50 % (14602)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)
% 0.20/0.50 % (14621)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (14629)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.50 % (14614)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 % (14601)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (14618)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 % (14615)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (14601)Refutation not found, incomplete strategy% (14601)------------------------------
% 0.20/0.51 % (14601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (14601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (14601)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (14601)Memory used [KB]: 5884
% 0.20/0.51 % (14601)Time elapsed: 0.118 s
% 0.20/0.51 % (14601)Instructions burned: 2 (million)
% 0.20/0.51 % (14601)------------------------------
% 0.20/0.51 % (14601)------------------------------
% 0.20/0.51 % (14617)Instruction limit reached!
% 0.20/0.51 % (14617)------------------------------
% 0.20/0.51 % (14617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (14609)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51 % (14609)Refutation not found, incomplete strategy% (14609)------------------------------
% 0.20/0.51 % (14609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (14617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (14617)Termination reason: Unknown
% 0.20/0.51 % (14617)Termination phase: Finite model building preprocessing
% 0.20/0.51
% 0.20/0.51 % (14617)Memory used [KB]: 5884
% 0.20/0.51 % (14617)Time elapsed: 0.004 s
% 0.20/0.51 % (14617)Instructions burned: 3 (million)
% 0.20/0.51 % (14617)------------------------------
% 0.20/0.51 % (14617)------------------------------
% 0.20/0.51 % (14609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (14609)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (14609)Memory used [KB]: 5884
% 0.20/0.51 % (14609)Time elapsed: 0.128 s
% 0.20/0.51 % (14609)Instructions burned: 2 (million)
% 0.20/0.51 % (14609)------------------------------
% 0.20/0.51 % (14609)------------------------------
% 0.20/0.51 % (14621)Refutation not found, incomplete strategy% (14621)------------------------------
% 0.20/0.51 % (14621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (14621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (14621)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (14621)Memory used [KB]: 5884
% 0.20/0.51 % (14621)Time elapsed: 0.126 s
% 0.20/0.51 % (14621)Instructions burned: 3 (million)
% 0.20/0.51 % (14621)------------------------------
% 0.20/0.51 % (14621)------------------------------
% 0.20/0.51 % (14608)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)
% 0.20/0.51 % (14614)Instruction limit reached!
% 0.20/0.51 % (14614)------------------------------
% 0.20/0.51 % (14614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (14608)Refutation not found, incomplete strategy% (14608)------------------------------
% 0.20/0.51 % (14608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (14608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (14608)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (14608)Memory used [KB]: 5884
% 0.20/0.51 % (14608)Time elapsed: 0.115 s
% 0.20/0.51 % (14608)Instructions burned: 2 (million)
% 0.20/0.51 % (14608)------------------------------
% 0.20/0.51 % (14608)------------------------------
% 0.20/0.51 % (14618)Instruction limit reached!
% 0.20/0.51 % (14618)------------------------------
% 0.20/0.51 % (14618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (14618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (14618)Termination reason: Unknown
% 0.20/0.51 % (14618)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (14618)Memory used [KB]: 5884
% 0.20/0.51 % (14618)Time elapsed: 0.002 s
% 0.20/0.51 % (14618)Instructions burned: 2 (million)
% 0.20/0.51 % (14618)------------------------------
% 0.20/0.51 % (14618)------------------------------
% 0.20/0.52 % (14603)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)
% 0.20/0.52 % (14614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (14614)Termination reason: Unknown
% 0.20/0.52 % (14614)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (14614)Memory used [KB]: 6012
% 0.20/0.52 % (14614)Time elapsed: 0.086 s
% 0.20/0.52 % (14614)Instructions burned: 4 (million)
% 0.20/0.52 % (14614)------------------------------
% 0.20/0.52 % (14614)------------------------------
% 0.20/0.52 % (14613)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (14620)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)
% 0.20/0.52 % (14628)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)
% 0.20/0.52 % (14599)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (14607)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52 % (14607)Refutation not found, incomplete strategy% (14607)------------------------------
% 0.20/0.52 % (14607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (14607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (14607)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (14607)Memory used [KB]: 5884
% 0.20/0.52 % (14607)Time elapsed: 0.121 s
% 0.20/0.52 % (14607)Instructions burned: 2 (million)
% 0.20/0.52 % (14607)------------------------------
% 0.20/0.52 % (14607)------------------------------
% 0.20/0.52 % (14602)Refutation not found, incomplete strategy% (14602)------------------------------
% 0.20/0.52 % (14602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (14602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (14602)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (14602)Memory used [KB]: 5884
% 0.20/0.52 % (14602)Time elapsed: 0.134 s
% 0.20/0.52 % (14602)Instructions burned: 3 (million)
% 0.20/0.52 % (14602)------------------------------
% 0.20/0.52 % (14602)------------------------------
% 0.20/0.52 % (14610)First to succeed.
% 0.20/0.53 % (14628)Instruction limit reached!
% 0.20/0.53 % (14628)------------------------------
% 0.20/0.53 % (14628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (14623)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.53 % (14615)Instruction limit reached!
% 0.20/0.53 % (14615)------------------------------
% 0.20/0.53 % (14615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (14615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (14615)Termination reason: Unknown
% 0.20/0.53 % (14615)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (14615)Memory used [KB]: 6012
% 0.20/0.53 % (14615)Time elapsed: 0.109 s
% 0.20/0.53 % (14615)Instructions burned: 8 (million)
% 0.20/0.53 % (14615)------------------------------
% 0.20/0.53 % (14615)------------------------------
% 0.20/0.53 % (14626)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)
% 0.20/0.53 % (14623)Refutation not found, incomplete strategy% (14623)------------------------------
% 0.20/0.53 % (14623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (14623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (14623)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (14623)Memory used [KB]: 1407
% 0.20/0.53 % (14623)Time elapsed: 0.124 s
% 0.20/0.53 % (14623)Instructions burned: 2 (million)
% 0.20/0.53 % (14623)------------------------------
% 0.20/0.53 % (14623)------------------------------
% 0.20/0.53 % (14611)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)
% 0.20/0.53 % (14624)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)
% 0.20/0.53 % (14611)Instruction limit reached!
% 0.20/0.53 % (14611)------------------------------
% 0.20/0.53 % (14611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (14611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (14611)Termination reason: Unknown
% 0.20/0.53 % (14611)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (14611)Memory used [KB]: 6012
% 0.20/0.53 % (14611)Time elapsed: 0.142 s
% 0.20/0.53 % (14611)Instructions burned: 7 (million)
% 0.20/0.53 % (14611)------------------------------
% 0.20/0.53 % (14611)------------------------------
% 0.20/0.53 % (14619)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.53 % (14627)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53 % (14612)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)
% 0.20/0.54 % (14616)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)
% 0.20/0.54 % (14616)Refutation not found, incomplete strategy% (14616)------------------------------
% 0.20/0.54 % (14616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (14610)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (14610)------------------------------
% 0.20/0.54 % (14610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (14610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (14610)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (14610)Memory used [KB]: 6012
% 0.20/0.54 % (14610)Time elapsed: 0.138 s
% 0.20/0.54 % (14610)Instructions burned: 5 (million)
% 0.20/0.54 % (14610)------------------------------
% 0.20/0.54 % (14610)------------------------------
% 0.20/0.54 % (14594)Success in time 0.187 s
%------------------------------------------------------------------------------