TSTP Solution File: SET171+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET171+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 : n028.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 18:19:38 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% Number of atoms : 263 ( 19 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 279 ( 112 ~; 129 |; 22 &)
% ( 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 : 87 ( 75 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f264,plain,
$false,
inference(avatar_sat_refutation,[],[f89,f90,f117,f118,f138,f155,f164,f177,f205,f214,f229,f231,f232,f233,f263]) ).
fof(f263,plain,
( ~ spl6_6
| spl6_9 ),
inference(avatar_contradiction_clause,[],[f262]) ).
fof(f262,plain,
( $false
| ~ spl6_6
| spl6_9 ),
inference(subsumption_resolution,[],[f255,f107]) ).
fof(f107,plain,
( member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK2)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl6_6
<=> member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f255,plain,
( ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK2)
| spl6_9 ),
inference(resolution,[],[f200,f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( member(X1,union(X0,X2))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( member(X1,union(X0,X2))
| ( ~ member(X1,X0)
& ~ member(X1,X2) ) )
& ( member(X1,X0)
| member(X1,X2)
| ~ member(X1,union(X0,X2)) ) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X2,X1,X0] :
( ( member(X1,union(X2,X0))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) )
& ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X2,X0)) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X2,X1,X0] :
( ( member(X1,union(X2,X0))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) )
& ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X2,X0)) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X2,X1,X0] :
( member(X1,union(X2,X0))
<=> ( member(X1,X2)
| member(X1,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X2,X0] :
( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f200,plain,
( ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),union(sK2,sK0))
| spl6_9 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl6_9
<=> member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),union(sK2,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f233,plain,
( spl6_6
| spl6_5
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f184,f82,f101,f105]) ).
fof(f101,plain,
( spl6_5
<=> member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),intersection(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f82,plain,
( spl6_3
<=> member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),union(sK2,intersection(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f184,plain,
( member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),intersection(sK0,sK1))
| member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK2)
| ~ spl6_3 ),
inference(resolution,[],[f84,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ member(X1,union(X0,X2))
| member(X1,X2)
| member(X1,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f84,plain,
( member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),union(sK2,intersection(sK0,sK1)))
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f232,plain,
( ~ spl6_6
| spl6_10 ),
inference(avatar_split_clause,[],[f221,f202,f105]) ).
fof(f202,plain,
( spl6_10
<=> member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),union(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f221,plain,
( ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK2)
| spl6_10 ),
inference(resolution,[],[f204,f52]) ).
fof(f204,plain,
( ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),union(sK2,sK1))
| spl6_10 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f231,plain,
( ~ spl6_5
| spl6_7 ),
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f230,plain,
( $false
| ~ spl6_5
| spl6_7 ),
inference(subsumption_resolution,[],[f170,f133]) ).
fof(f133,plain,
( ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK1)
| spl6_7 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl6_7
<=> member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f170,plain,
( member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK1)
| ~ spl6_5 ),
inference(resolution,[],[f103,f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,intersection(X0,X1)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) )
& ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) )
& ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( member(X2,X1)
& member(X2,X0) )
<=> member(X2,intersection(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn) ).
fof(f103,plain,
( member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),intersection(sK0,sK1))
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f229,plain,
( ~ spl6_7
| spl6_10 ),
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f228,plain,
( $false
| ~ spl6_7
| spl6_10 ),
inference(subsumption_resolution,[],[f222,f132]) ).
fof(f132,plain,
( member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK1)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f222,plain,
( ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK1)
| spl6_10 ),
inference(resolution,[],[f204,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ member(X1,X2)
| member(X1,union(X0,X2)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f214,plain,
( ~ spl6_8
| spl6_9 ),
inference(avatar_contradiction_clause,[],[f213]) ).
fof(f213,plain,
( $false
| ~ spl6_8
| spl6_9 ),
inference(subsumption_resolution,[],[f207,f136]) ).
fof(f136,plain,
( member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK0)
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl6_8
<=> member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f207,plain,
( ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK0)
| spl6_9 ),
inference(resolution,[],[f200,f51]) ).
fof(f205,plain,
( ~ spl6_9
| ~ spl6_10
| spl6_4 ),
inference(avatar_split_clause,[],[f191,f86,f202,f198]) ).
fof(f86,plain,
( spl6_4
<=> member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),intersection(union(sK2,sK0),union(sK2,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f191,plain,
( ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),union(sK2,sK1))
| ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),union(sK2,sK0))
| spl6_4 ),
inference(resolution,[],[f87,f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| member(X2,intersection(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f87,plain,
( ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),intersection(union(sK2,sK0),union(sK2,sK1)))
| spl6_4 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f177,plain,
( spl6_8
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f171,f101,f135]) ).
fof(f171,plain,
( member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK0)
| ~ spl6_5 ),
inference(resolution,[],[f103,f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f164,plain,
( ~ spl6_4
| spl6_6
| spl6_8 ),
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f163,plain,
( $false
| ~ spl6_4
| spl6_6
| spl6_8 ),
inference(subsumption_resolution,[],[f162,f137]) ).
fof(f137,plain,
( ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK0)
| spl6_8 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f162,plain,
( member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK0)
| ~ spl6_4
| spl6_6 ),
inference(subsumption_resolution,[],[f156,f106]) ).
fof(f106,plain,
( ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK2)
| spl6_6 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f156,plain,
( member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK2)
| member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK0)
| ~ spl6_4 ),
inference(resolution,[],[f141,f50]) ).
fof(f141,plain,
( member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),union(sK2,sK0))
| ~ spl6_4 ),
inference(resolution,[],[f88,f40]) ).
fof(f88,plain,
( member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),intersection(union(sK2,sK0),union(sK2,sK1)))
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f155,plain,
( ~ spl6_4
| spl6_6
| spl6_7 ),
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f154,plain,
( $false
| ~ spl6_4
| spl6_6
| spl6_7 ),
inference(subsumption_resolution,[],[f153,f133]) ).
fof(f153,plain,
( member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK1)
| ~ spl6_4
| spl6_6 ),
inference(subsumption_resolution,[],[f147,f106]) ).
fof(f147,plain,
( member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK2)
| member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK1)
| ~ spl6_4 ),
inference(resolution,[],[f140,f50]) ).
fof(f140,plain,
( member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),union(sK2,sK1))
| ~ spl6_4 ),
inference(resolution,[],[f88,f41]) ).
fof(f138,plain,
( ~ spl6_7
| ~ spl6_8
| spl6_5 ),
inference(avatar_split_clause,[],[f124,f101,f135,f131]) ).
fof(f124,plain,
( ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK0)
| ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK1)
| spl6_5 ),
inference(resolution,[],[f102,f39]) ).
fof(f102,plain,
( ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),intersection(sK0,sK1))
| spl6_5 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f118,plain,
( ~ spl6_5
| spl6_3 ),
inference(avatar_split_clause,[],[f111,f82,f101]) ).
fof(f111,plain,
( ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),intersection(sK0,sK1))
| spl6_3 ),
inference(resolution,[],[f83,f51]) ).
fof(f83,plain,
( ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),union(sK2,intersection(sK0,sK1)))
| spl6_3 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f117,plain,
( ~ spl6_6
| spl6_3 ),
inference(avatar_split_clause,[],[f110,f82,f105]) ).
fof(f110,plain,
( ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),sK2)
| spl6_3 ),
inference(resolution,[],[f83,f52]) ).
fof(f90,plain,
( ~ spl6_3
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f69,f86,f82]) ).
fof(f69,plain,
( ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),intersection(union(sK2,sK0),union(sK2,sK1)))
| ~ member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),union(sK2,intersection(sK0,sK1))) ),
inference(resolution,[],[f62,f64]) ).
fof(f64,plain,
! [X0,X1] :
( ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0)
| sQ5_eqProxy(X0,X1) ),
inference(equality_proxy_replacement,[],[f48,f61]) ).
fof(f61,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ5_eqProxy])]) ).
fof(f48,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK3(X0,X1),X0)
| ~ member(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,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])],[f26,f27]) ).
fof(f27,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(f26,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,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X0)
| member(X2,X1) ) ) )
& ( ! [X2] :
( ( member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X0)
| ~ member(X2,X1) ) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X1)
<=> member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f62,plain,
~ sQ5_eqProxy(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),
inference(equality_proxy_replacement,[],[f38,f61]) ).
fof(f38,plain,
union(sK2,intersection(sK0,sK1)) != intersection(union(sK2,sK0),union(sK2,sK1)),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
union(sK2,intersection(sK0,sK1)) != intersection(union(sK2,sK0),union(sK2,sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f18]) ).
fof(f18,plain,
( ? [X0,X1,X2] : union(X2,intersection(X0,X1)) != intersection(union(X2,X0),union(X2,X1))
=> union(sK2,intersection(sK0,sK1)) != intersection(union(sK2,sK0),union(sK2,sK1)) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0,X1,X2] : union(X2,intersection(X0,X1)) != intersection(union(X2,X0),union(X2,X1)),
inference(rectify,[],[f15]) ).
fof(f15,plain,
? [X2,X0,X1] : union(X1,intersection(X2,X0)) != intersection(union(X1,X2),union(X1,X0)),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
~ ! [X0,X2,X1] : union(X1,intersection(X2,X0)) = intersection(union(X1,X2),union(X1,X0)),
inference(rectify,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X2,X0,X1] : union(X0,intersection(X1,X2)) = intersection(union(X0,X1),union(X0,X2)),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X2,X0,X1] : union(X0,intersection(X1,X2)) = intersection(union(X0,X1),union(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_union_distributes_over_intersection) ).
fof(f89,plain,
( spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f71,f86,f82]) ).
fof(f71,plain,
( member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),intersection(union(sK2,sK0),union(sK2,sK1)))
| member(sK3(union(sK2,intersection(sK0,sK1)),intersection(union(sK2,sK0),union(sK2,sK1))),union(sK2,intersection(sK0,sK1))) ),
inference(resolution,[],[f62,f65]) ).
fof(f65,plain,
! [X0,X1] :
( member(sK3(X0,X1),X1)
| sQ5_eqProxy(X0,X1)
| member(sK3(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f47,f61]) ).
fof(f47,plain,
! [X0,X1] :
( X0 = X1
| member(sK3(X0,X1),X0)
| member(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET171+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 13:38:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.52 % (15344)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)
% 0.20/0.52 % (15349)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)
% 0.20/0.53 % (15366)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 % (15360)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)
% 0.20/0.53 % (15344)Instruction limit reached!
% 0.20/0.53 % (15344)------------------------------
% 0.20/0.53 % (15344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (15344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (15344)Termination reason: Unknown
% 0.20/0.53 % (15344)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (15344)Memory used [KB]: 5884
% 0.20/0.53 % (15344)Time elapsed: 0.122 s
% 0.20/0.53 % (15344)Instructions burned: 3 (million)
% 0.20/0.53 % (15344)------------------------------
% 0.20/0.53 % (15344)------------------------------
% 0.20/0.53 % (15345)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)
% 0.20/0.53 % (15347)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)
% 0.20/0.53 % (15351)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)
% 0.20/0.53 % (15347)Refutation not found, incomplete strategy% (15347)------------------------------
% 0.20/0.53 % (15347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (15347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (15347)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (15347)Memory used [KB]: 1407
% 0.20/0.53 % (15347)Time elapsed: 0.123 s
% 0.20/0.53 % (15347)Instructions burned: 1 (million)
% 0.20/0.53 % (15347)------------------------------
% 0.20/0.53 % (15347)------------------------------
% 0.20/0.53 % (15358)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)
% 0.20/0.53 % (15351)Refutation not found, incomplete strategy% (15351)------------------------------
% 0.20/0.53 % (15351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (15351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (15351)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (15351)Memory used [KB]: 5884
% 0.20/0.53 % (15351)Time elapsed: 0.132 s
% 0.20/0.53 % (15351)Instructions burned: 2 (million)
% 0.20/0.53 % (15351)------------------------------
% 0.20/0.53 % (15351)------------------------------
% 0.20/0.53 % (15349)Refutation not found, incomplete strategy% (15349)------------------------------
% 0.20/0.53 % (15349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (15349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (15349)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (15349)Memory used [KB]: 5884
% 0.20/0.53 % (15349)Time elapsed: 0.118 s
% 0.20/0.53 % (15349)Instructions burned: 2 (million)
% 0.20/0.54 % (15349)------------------------------
% 0.20/0.54 % (15349)------------------------------
% 0.20/0.54 % (15359)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (15352)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)
% 0.20/0.54 % (15356)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)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (15359)Instruction limit reached!
% 0.20/0.54 % (15359)------------------------------
% 0.20/0.54 % (15359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (15359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (15359)Termination reason: Unknown
% 0.20/0.54 % (15359)Termination phase: Finite model building constraint generation
% 0.20/0.54
% 0.20/0.54 % (15359)Memory used [KB]: 6012
% 0.20/0.54 % (15359)Time elapsed: 0.134 s
% 0.20/0.54 % (15359)Instructions burned: 4 (million)
% 0.20/0.54 % (15359)------------------------------
% 0.20/0.54 % (15359)------------------------------
% 0.20/0.54 % (15367)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)
% 0.20/0.54 % (15356)Instruction limit reached!
% 0.20/0.54 % (15356)------------------------------
% 0.20/0.54 % (15356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (15356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (15356)Termination reason: Unknown
% 0.20/0.54 % (15356)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (15356)Memory used [KB]: 6012
% 0.20/0.54 % (15356)Time elapsed: 0.093 s
% 0.20/0.54 % (15356)Instructions burned: 3 (million)
% 0.20/0.54 % (15356)------------------------------
% 0.20/0.54 % (15356)------------------------------
% 0.20/0.54 % (15352)First to succeed.
% 0.20/0.54 % (15342)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.54 % (15361)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)
% 0.20/0.54 % (15343)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)
% 0.20/0.54 % (15363)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)
% 0.20/0.54 % (15346)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)
% 0.20/0.54 % (15369)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)
% 0.20/0.54 % (15343)Refutation not found, incomplete strategy% (15343)------------------------------
% 0.20/0.54 % (15343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (15343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (15343)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (15343)Memory used [KB]: 5884
% 0.20/0.54 % (15343)Time elapsed: 0.098 s
% 0.20/0.54 % (15343)Instructions burned: 2 (million)
% 0.20/0.54 % (15343)------------------------------
% 0.20/0.54 % (15343)------------------------------
% 0.20/0.54 % (15363)Refutation not found, incomplete strategy% (15363)------------------------------
% 0.20/0.54 % (15363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (15363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (15363)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (15363)Memory used [KB]: 5884
% 0.20/0.54 % (15363)Time elapsed: 0.136 s
% 0.20/0.54 % (15363)Instructions burned: 2 (million)
% 0.20/0.54 % (15363)------------------------------
% 0.20/0.54 % (15363)------------------------------
% 0.20/0.54 % (15358)Refutation not found, incomplete strategy% (15358)------------------------------
% 0.20/0.54 % (15358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (15358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (15358)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (15358)Memory used [KB]: 6012
% 0.20/0.54 % (15358)Time elapsed: 0.122 s
% 0.20/0.54 % (15358)Instructions burned: 2 (million)
% 0.20/0.54 % (15358)------------------------------
% 0.20/0.54 % (15358)------------------------------
% 0.20/0.55 % (15348)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)
% 0.20/0.55 % (15355)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)
% 0.20/0.55 % (15353)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)
% 0.20/0.55 % (15360)Refutation not found, incomplete strategy% (15360)------------------------------
% 0.20/0.55 % (15360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (15360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (15360)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (15360)Memory used [KB]: 5884
% 0.20/0.55 % (15360)Time elapsed: 0.143 s
% 0.20/0.55 % (15360)Instructions burned: 1 (million)
% 0.20/0.55 % (15360)------------------------------
% 0.20/0.55 % (15360)------------------------------
% 0.20/0.55 % (15368)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)
% 0.20/0.55 % (15365)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)
% 0.20/0.55 % (15355)Refutation not found, incomplete strategy% (15355)------------------------------
% 0.20/0.55 % (15355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (15355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (15355)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (15355)Memory used [KB]: 6012
% 0.20/0.55 % (15355)Time elapsed: 0.147 s
% 0.20/0.55 % (15355)Instructions burned: 2 (million)
% 0.20/0.55 % (15355)------------------------------
% 0.20/0.55 % (15355)------------------------------
% 0.20/0.55 % (15345)Refutation not found, incomplete strategy% (15345)------------------------------
% 0.20/0.55 % (15345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (15345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (15345)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (15345)Memory used [KB]: 5884
% 0.20/0.55 % (15345)Time elapsed: 0.142 s
% 0.20/0.55 % (15345)Instructions burned: 2 (million)
% 0.20/0.55 % (15345)------------------------------
% 0.20/0.55 % (15345)------------------------------
% 0.20/0.55 % (15371)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)
% 0.20/0.55 % (15350)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)
% 0.20/0.55 % (15368)Refutation not found, incomplete strategy% (15368)------------------------------
% 0.20/0.55 % (15368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (15368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (15368)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (15368)Memory used [KB]: 6012
% 0.20/0.55 % (15368)Time elapsed: 0.143 s
% 0.20/0.55 % (15368)Instructions burned: 2 (million)
% 0.20/0.55 % (15368)------------------------------
% 0.20/0.55 % (15368)------------------------------
% 0.20/0.55 % (15352)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (15352)------------------------------
% 0.20/0.55 % (15352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (15352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (15352)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (15352)Memory used [KB]: 6012
% 0.20/0.55 % (15352)Time elapsed: 0.139 s
% 0.20/0.55 % (15352)Instructions burned: 4 (million)
% 0.20/0.55 % (15352)------------------------------
% 0.20/0.55 % (15352)------------------------------
% 0.20/0.55 % (15341)Success in time 0.19 s
%------------------------------------------------------------------------------