TSTP Solution File: SET615+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET615+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 : n020.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 18:21:37 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 97 ( 8 unt; 0 def)
% Number of atoms : 270 ( 19 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 291 ( 118 ~; 129 |; 25 &)
% ( 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(f266,plain,
$false,
inference(avatar_sat_refutation,[],[f78,f88,f126,f142,f150,f151,f167,f186,f195,f196,f222,f236,f238,f261,f262,f265]) ).
fof(f265,plain,
( ~ spl6_5
| spl6_7
| spl6_9 ),
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| ~ spl6_5
| spl6_7
| spl6_9 ),
inference(subsumption_resolution,[],[f263,f121]) ).
fof(f121,plain,
( member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK1)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl6_5
<=> member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f263,plain,
( ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK1)
| spl6_7
| spl6_9 ),
inference(subsumption_resolution,[],[f246,f136]) ).
fof(f136,plain,
( ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK2)
| spl6_7 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl6_7
<=> member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f246,plain,
( member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK2)
| ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK1)
| spl6_9 ),
inference(resolution,[],[f161,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ member(X1,X2)
| member(X1,difference(X2,X0))
| member(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( member(X1,difference(X2,X0))
| ~ member(X1,X2)
| member(X1,X0) )
& ( ( member(X1,X2)
& ~ member(X1,X0) )
| ~ member(X1,difference(X2,X0)) ) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X2,X1,X0] :
( ( member(X1,difference(X0,X2))
| ~ member(X1,X0)
| member(X1,X2) )
& ( ( member(X1,X0)
& ~ member(X1,X2) )
| ~ member(X1,difference(X0,X2)) ) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X2,X1,X0] :
( ( member(X1,difference(X0,X2))
| ~ member(X1,X0)
| member(X1,X2) )
& ( ( member(X1,X0)
& ~ member(X1,X2) )
| ~ member(X1,difference(X0,X2)) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X2,X1,X0] :
( member(X1,difference(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,difference(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
fof(f161,plain,
( ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),difference(sK1,sK2))
| spl6_9 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl6_9
<=> member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),difference(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f262,plain,
( spl6_6
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f252,f164,f123]) ).
fof(f123,plain,
( spl6_6
<=> member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f164,plain,
( spl6_10
<=> member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),difference(sK3,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f252,plain,
( member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK3)
| ~ spl6_10 ),
inference(resolution,[],[f166,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( member(X1,X2)
| ~ member(X1,difference(X2,X0)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f166,plain,
( member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),difference(sK3,sK2))
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f261,plain,
( ~ spl6_7
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f253,f164,f135]) ).
fof(f253,plain,
( ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK2)
| ~ spl6_10 ),
inference(resolution,[],[f166,f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ member(X1,X0)
| ~ member(X1,difference(X2,X0)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f238,plain,
( spl6_5
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f237]) ).
fof(f237,plain,
( $false
| spl6_5
| ~ spl6_9 ),
inference(subsumption_resolution,[],[f228,f120]) ).
fof(f120,plain,
( ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK1)
| spl6_5 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f228,plain,
( member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK1)
| ~ spl6_9 ),
inference(resolution,[],[f162,f47]) ).
fof(f162,plain,
( member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),difference(sK1,sK2))
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f236,plain,
( ~ spl6_7
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f235]) ).
fof(f235,plain,
( $false
| ~ spl6_7
| ~ spl6_9 ),
inference(subsumption_resolution,[],[f229,f137]) ).
fof(f137,plain,
( member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK2)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f229,plain,
( ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK2)
| ~ spl6_9 ),
inference(resolution,[],[f162,f46]) ).
fof(f222,plain,
( ~ spl6_6
| spl6_7
| spl6_10 ),
inference(avatar_contradiction_clause,[],[f221]) ).
fof(f221,plain,
( $false
| ~ spl6_6
| spl6_7
| spl6_10 ),
inference(subsumption_resolution,[],[f220,f125]) ).
fof(f125,plain,
( member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK3)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f220,plain,
( ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK3)
| spl6_7
| spl6_10 ),
inference(subsumption_resolution,[],[f214,f136]) ).
fof(f214,plain,
( member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK2)
| ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK3)
| spl6_10 ),
inference(resolution,[],[f165,f48]) ).
fof(f165,plain,
( ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),difference(sK3,sK2))
| spl6_10 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f196,plain,
( ~ spl6_9
| spl6_1 ),
inference(avatar_split_clause,[],[f189,f71,f160]) ).
fof(f71,plain,
( spl6_1
<=> member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),union(difference(sK3,sK2),difference(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f189,plain,
( ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),difference(sK1,sK2))
| spl6_1 ),
inference(resolution,[],[f72,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ member(X2,X0)
| member(X2,union(X1,X0)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( member(X2,X1)
| member(X2,X0)
| ~ member(X2,union(X1,X0)) )
& ( member(X2,union(X1,X0))
| ( ~ member(X2,X1)
& ~ member(X2,X0) ) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X2,X1,X0] :
( ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) )
& ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) ) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X2,X1,X0] :
( ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) )
& ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X2,X1,X0] :
( ( member(X0,X1)
| member(X0,X2) )
<=> member(X0,union(X1,X2)) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn) ).
fof(f72,plain,
( ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),union(difference(sK3,sK2),difference(sK1,sK2)))
| spl6_1 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f195,plain,
( ~ spl6_10
| spl6_1 ),
inference(avatar_split_clause,[],[f188,f71,f164]) ).
fof(f188,plain,
( ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),difference(sK3,sK2))
| spl6_1 ),
inference(resolution,[],[f72,f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( member(X2,union(X1,X0))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f186,plain,
( ~ spl6_7
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f180,f75,f135]) ).
fof(f75,plain,
( spl6_2
<=> member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),difference(union(sK3,sK1),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f180,plain,
( ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK2)
| ~ spl6_2 ),
inference(resolution,[],[f77,f46]) ).
fof(f77,plain,
( member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),difference(union(sK3,sK1),sK2))
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f167,plain,
( spl6_9
| spl6_10
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f153,f71,f164,f160]) ).
fof(f153,plain,
( member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),difference(sK3,sK2))
| member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),difference(sK1,sK2))
| ~ spl6_1 ),
inference(resolution,[],[f73,f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X1,X0)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f73,plain,
( member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),union(difference(sK3,sK2),difference(sK1,sK2)))
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f151,plain,
( ~ spl6_5
| spl6_8 ),
inference(avatar_split_clause,[],[f144,f139,f119]) ).
fof(f139,plain,
( spl6_8
<=> member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),union(sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f144,plain,
( ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK1)
| spl6_8 ),
inference(resolution,[],[f141,f42]) ).
fof(f141,plain,
( ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),union(sK3,sK1))
| spl6_8 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f150,plain,
( ~ spl6_6
| spl6_8 ),
inference(avatar_split_clause,[],[f143,f139,f123]) ).
fof(f143,plain,
( ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK3)
| spl6_8 ),
inference(resolution,[],[f141,f43]) ).
fof(f142,plain,
( spl6_7
| ~ spl6_8
| spl6_2 ),
inference(avatar_split_clause,[],[f128,f75,f139,f135]) ).
fof(f128,plain,
( ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),union(sK3,sK1))
| member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK2)
| spl6_2 ),
inference(resolution,[],[f76,f48]) ).
fof(f76,plain,
( ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),difference(union(sK3,sK1),sK2))
| spl6_2 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f126,plain,
( spl6_5
| spl6_6
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f112,f75,f123,f119]) ).
fof(f112,plain,
( member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK3)
| member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),sK1)
| ~ spl6_2 ),
inference(resolution,[],[f92,f44]) ).
fof(f92,plain,
( member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),union(sK3,sK1))
| ~ spl6_2 ),
inference(resolution,[],[f77,f47]) ).
fof(f88,plain,
( ~ spl6_2
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f69,f71,f75]) ).
fof(f69,plain,
( ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),union(difference(sK3,sK2),difference(sK1,sK2)))
| ~ member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),difference(union(sK3,sK1),sK2)) ),
inference(resolution,[],[f63,f61]) ).
fof(f61,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| ~ member(sK0(X0,X1),X1)
| ~ member(sK0(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f41,f60]) ).
fof(f60,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ5_eqProxy])]) ).
fof(f41,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK0(X0,X1),X0)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( X0 = X1
| ( ( ~ member(sK0(X0,X1),X0)
| ~ member(sK0(X0,X1),X1) )
& ( member(sK0(X0,X1),X0)
| member(sK0(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,[sK0])],[f18,f19]) ).
fof(f19,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X0)
| member(X2,X1) ) )
=> ( ( ~ member(sK0(X0,X1),X0)
| ~ member(sK0(X0,X1),X1) )
& ( member(sK0(X0,X1),X0)
| member(sK0(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,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,[],[f17]) ).
fof(f17,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,[],[f10]) ).
fof(f10,plain,
! [X1,X0] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( X0 = X1
<=> ! [X2] :
( member(X2,X1)
<=> member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f63,plain,
~ sQ5_eqProxy(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),
inference(equality_proxy_replacement,[],[f45,f60]) ).
fof(f45,plain,
union(difference(sK3,sK2),difference(sK1,sK2)) != difference(union(sK3,sK1),sK2),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
union(difference(sK3,sK2),difference(sK1,sK2)) != difference(union(sK3,sK1),sK2),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f24,f25]) ).
fof(f25,plain,
( ? [X0,X1,X2] : union(difference(X2,X1),difference(X0,X1)) != difference(union(X2,X0),X1)
=> union(difference(sK3,sK2),difference(sK1,sK2)) != difference(union(sK3,sK1),sK2) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
? [X0,X1,X2] : union(difference(X2,X1),difference(X0,X1)) != difference(union(X2,X0),X1),
inference(rectify,[],[f15]) ).
fof(f15,plain,
? [X1,X2,X0] : difference(union(X0,X1),X2) != union(difference(X0,X2),difference(X1,X2)),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X1,X2,X0] : difference(union(X0,X1),X2) = union(difference(X0,X2),difference(X1,X2)),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X1,X2,X0] : difference(union(X0,X1),X2) = union(difference(X0,X2),difference(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_difference_distributes_over_union) ).
fof(f78,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f68,f75,f71]) ).
fof(f68,plain,
( member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),difference(union(sK3,sK1),sK2))
| member(sK0(union(difference(sK3,sK2),difference(sK1,sK2)),difference(union(sK3,sK1),sK2)),union(difference(sK3,sK2),difference(sK1,sK2))) ),
inference(resolution,[],[f63,f62]) ).
fof(f62,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| member(sK0(X0,X1),X1)
| sQ5_eqProxy(X0,X1) ),
inference(equality_proxy_replacement,[],[f40,f60]) ).
fof(f40,plain,
! [X0,X1] :
( X0 = X1
| member(sK0(X0,X1),X0)
| member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET615+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:10:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.50 % (12734)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)
% 0.21/0.51 % (12734)Refutation not found, incomplete strategy% (12734)------------------------------
% 0.21/0.51 % (12734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (12734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (12734)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (12734)Memory used [KB]: 5884
% 0.21/0.51 % (12734)Time elapsed: 0.093 s
% 0.21/0.51 % (12734)Instructions burned: 2 (million)
% 0.21/0.51 % (12734)------------------------------
% 0.21/0.51 % (12734)------------------------------
% 0.21/0.51 % (12726)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)
% 0.21/0.51 % (12726)Refutation not found, incomplete strategy% (12726)------------------------------
% 0.21/0.51 % (12726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (12726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (12726)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (12726)Memory used [KB]: 5884
% 0.21/0.51 % (12726)Time elapsed: 0.093 s
% 0.21/0.51 % (12726)Instructions burned: 1 (million)
% 0.21/0.51 % (12726)------------------------------
% 0.21/0.51 % (12726)------------------------------
% 0.21/0.51 % (12752)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)
% 0.21/0.52 % (12735)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)
% 0.21/0.52 % (12732)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)
% 0.21/0.52 % (12747)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)
% 0.21/0.53 % (12751)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)
% 0.21/0.53 % (12727)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)
% 0.21/0.53 % (12751)Refutation not found, incomplete strategy% (12751)------------------------------
% 0.21/0.53 % (12751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (12751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (12751)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (12751)Memory used [KB]: 5884
% 0.21/0.53 % (12751)Time elapsed: 0.128 s
% 0.21/0.53 % (12751)Instructions burned: 2 (million)
% 0.21/0.53 % (12751)------------------------------
% 0.21/0.53 % (12751)------------------------------
% 0.21/0.53 % (12739)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)
% 0.21/0.53 % (12728)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)
% 0.21/0.53 % (12727)Refutation not found, incomplete strategy% (12727)------------------------------
% 0.21/0.53 % (12727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (12727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (12727)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (12727)Memory used [KB]: 5884
% 0.21/0.53 % (12727)Time elapsed: 0.128 s
% 0.21/0.53 % (12727)Instructions burned: 2 (million)
% 0.21/0.53 % (12727)------------------------------
% 0.21/0.53 % (12727)------------------------------
% 0.21/0.53 % (12725)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.54 % (12729)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)
% 0.21/0.54 % (12728)Refutation not found, incomplete strategy% (12728)------------------------------
% 0.21/0.54 % (12728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (12728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (12728)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (12728)Memory used [KB]: 5884
% 0.21/0.54 % (12728)Time elapsed: 0.125 s
% 0.21/0.54 % (12728)Instructions burned: 1 (million)
% 0.21/0.54 % (12728)------------------------------
% 0.21/0.54 % (12728)------------------------------
% 0.21/0.54 % (12735)First to succeed.
% 0.21/0.54 % (12754)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)
% 0.21/0.54 % (12739)Instruction limit reached!
% 0.21/0.54 % (12739)------------------------------
% 0.21/0.54 % (12739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (12739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (12739)Termination reason: Unknown
% 0.21/0.54 % (12739)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (12739)Memory used [KB]: 6012
% 0.21/0.54 % (12739)Time elapsed: 0.098 s
% 0.21/0.54 % (12739)Instructions burned: 4 (million)
% 0.21/0.54 % (12739)------------------------------
% 0.21/0.54 % (12739)------------------------------
% 0.21/0.54 % (12735)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (12735)------------------------------
% 0.21/0.54 % (12735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (12735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (12735)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (12735)Memory used [KB]: 6012
% 0.21/0.54 % (12735)Time elapsed: 0.111 s
% 0.21/0.54 % (12735)Instructions burned: 5 (million)
% 0.21/0.54 % (12735)------------------------------
% 0.21/0.54 % (12735)------------------------------
% 0.21/0.54 % (12724)Success in time 0.178 s
%------------------------------------------------------------------------------