TSTP Solution File: SET612+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET612+3 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.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 : Tue May 21 03:12:25 EDT 2024
% Result : Theorem 0.55s 0.74s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 22
% Syntax : Number of formulae : 116 ( 11 unt; 0 def)
% Number of atoms : 324 ( 17 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 354 ( 146 ~; 151 |; 34 &)
% ( 17 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 143 ( 131 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f185,plain,
$false,
inference(avatar_sat_refutation,[],[f96,f97,f109,f114,f138,f142,f153,f164,f170,f175,f176,f184]) ).
fof(f184,plain,
( ~ spl6_7
| ~ spl6_8
| ~ spl6_10 ),
inference(avatar_contradiction_clause,[],[f183]) ).
fof(f183,plain,
( $false
| ~ spl6_7
| ~ spl6_8
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f182,f180]) ).
fof(f180,plain,
( ~ member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),sK2)
| ~ spl6_8 ),
inference(resolution,[],[f125,f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2] :
( member(X2,difference(X0,X1))
<=> ( ~ member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
fof(f125,plain,
( member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,sK2))
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl6_8
<=> member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f182,plain,
( member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),sK2)
| ~ spl6_7
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f181,f178]) ).
fof(f178,plain,
( ~ member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),sK1)
| ~ spl6_7 ),
inference(resolution,[],[f121,f58]) ).
fof(f121,plain,
( member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,sK1))
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl6_7
<=> member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f181,plain,
( member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),sK1)
| member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),sK2)
| ~ spl6_10 ),
inference(resolution,[],[f163,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,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(flattening,[],[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(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f163,plain,
( member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),union(sK1,sK2))
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl6_10
<=> member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),union(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f176,plain,
( spl6_7
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f166,f93,f120]) ).
fof(f93,plain,
( spl6_4
<=> member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),intersection(difference(sK0,sK1),difference(sK0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f166,plain,
( member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,sK1))
| ~ spl6_4 ),
inference(resolution,[],[f95,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
fof(f95,plain,
( member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),intersection(difference(sK0,sK1),difference(sK0,sK2)))
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f175,plain,
( ~ spl6_7
| spl6_9 ),
inference(avatar_contradiction_clause,[],[f174]) ).
fof(f174,plain,
( $false
| ~ spl6_7
| spl6_9 ),
inference(subsumption_resolution,[],[f172,f159]) ).
fof(f159,plain,
( ~ member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),sK0)
| spl6_9 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl6_9
<=> member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f172,plain,
( member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),sK0)
| ~ spl6_7 ),
inference(resolution,[],[f121,f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f170,plain,
( spl6_8
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f167,f93,f124]) ).
fof(f167,plain,
( member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,sK2))
| ~ spl6_4 ),
inference(resolution,[],[f95,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f164,plain,
( ~ spl6_9
| spl6_10
| spl6_3 ),
inference(avatar_split_clause,[],[f155,f89,f161,f157]) ).
fof(f89,plain,
( spl6_3
<=> member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,union(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f155,plain,
( member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),union(sK1,sK2))
| ~ member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),sK0)
| spl6_3 ),
inference(resolution,[],[f90,f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f90,plain,
( ~ member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,union(sK1,sK2)))
| spl6_3 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f153,plain,
( ~ spl6_1
| ~ spl6_3
| spl6_4 ),
inference(avatar_contradiction_clause,[],[f152]) ).
fof(f152,plain,
( $false
| ~ spl6_1
| ~ spl6_3
| spl6_4 ),
inference(subsumption_resolution,[],[f151,f91]) ).
fof(f91,plain,
( member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,union(sK1,sK2)))
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f151,plain,
( ~ member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,union(sK1,sK2)))
| ~ spl6_1
| spl6_4 ),
inference(resolution,[],[f143,f94]) ).
fof(f94,plain,
( ~ member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),intersection(difference(sK0,sK1),difference(sK0,sK2)))
| spl6_4 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f143,plain,
( ! [X0] :
( member(X0,intersection(difference(sK0,sK1),difference(sK0,sK2)))
| ~ member(X0,difference(sK0,union(sK1,sK2))) )
| ~ spl6_1 ),
inference(resolution,[],[f81,f60]) ).
fof(f60,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK4(X0,X1),X1)
& member(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f35,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK4(X0,X1),X1)
& member(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f81,plain,
( subset(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2)))
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl6_1
<=> subset(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f142,plain,
spl6_6,
inference(avatar_contradiction_clause,[],[f141]) ).
fof(f141,plain,
( $false
| spl6_6 ),
inference(subsumption_resolution,[],[f140,f131]) ).
fof(f131,plain,
( member(sK4(sK2,union(sK1,sK2)),sK2)
| spl6_6 ),
inference(resolution,[],[f128,f61]) ).
fof(f61,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f128,plain,
( ~ subset(sK2,union(sK1,sK2))
| spl6_6 ),
inference(resolution,[],[f108,f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( subset(difference(X2,X1),difference(X2,X0))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( subset(difference(X2,X1),difference(X2,X0))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( subset(X0,X1)
=> subset(difference(X2,X1),difference(X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_difference) ).
fof(f108,plain,
( ~ subset(difference(sK0,union(sK1,sK2)),difference(sK0,sK2))
| spl6_6 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl6_6
<=> subset(difference(sK0,union(sK1,sK2)),difference(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f140,plain,
( ~ member(sK4(sK2,union(sK1,sK2)),sK2)
| spl6_6 ),
inference(resolution,[],[f132,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f132,plain,
( ~ member(sK4(sK2,union(sK1,sK2)),union(sK1,sK2))
| spl6_6 ),
inference(resolution,[],[f128,f62]) ).
fof(f62,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f138,plain,
( ~ spl6_3
| spl6_7 ),
inference(avatar_contradiction_clause,[],[f137]) ).
fof(f137,plain,
( $false
| ~ spl6_3
| spl6_7 ),
inference(subsumption_resolution,[],[f136,f115]) ).
fof(f115,plain,
( member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),sK0)
| ~ spl6_3 ),
inference(resolution,[],[f91,f57]) ).
fof(f136,plain,
( ~ member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),sK0)
| ~ spl6_3
| spl6_7 ),
inference(subsumption_resolution,[],[f135,f133]) ).
fof(f133,plain,
( ~ member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),sK1)
| ~ spl6_3 ),
inference(resolution,[],[f116,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f116,plain,
( ~ member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),union(sK1,sK2))
| ~ spl6_3 ),
inference(resolution,[],[f91,f58]) ).
fof(f135,plain,
( member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),sK1)
| ~ member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),sK0)
| spl6_7 ),
inference(resolution,[],[f122,f59]) ).
fof(f122,plain,
( ~ member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,sK1))
| spl6_7 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f114,plain,
spl6_5,
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f113,plain,
( $false
| spl6_5 ),
inference(subsumption_resolution,[],[f110,f47]) ).
fof(f47,plain,
! [X0,X1] : subset(X0,union(X0,X1)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] : subset(X0,union(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_of_union) ).
fof(f110,plain,
( ~ subset(sK1,union(sK1,sK2))
| spl6_5 ),
inference(resolution,[],[f104,f56]) ).
fof(f104,plain,
( ~ subset(difference(sK0,union(sK1,sK2)),difference(sK0,sK1))
| spl6_5 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl6_5
<=> subset(difference(sK0,union(sK1,sK2)),difference(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f109,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_1 ),
inference(avatar_split_clause,[],[f98,f80,f106,f102]) ).
fof(f98,plain,
( ~ subset(difference(sK0,union(sK1,sK2)),difference(sK0,sK2))
| ~ subset(difference(sK0,union(sK1,sK2)),difference(sK0,sK1))
| spl6_1 ),
inference(resolution,[],[f82,f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( subset(X0,intersection(X1,X2))
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2] :
( subset(X0,intersection(X1,X2))
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2] :
( subset(X0,intersection(X1,X2))
| ~ subset(X0,X2)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X0,X1) )
=> subset(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_of_subsets) ).
fof(f82,plain,
( ~ subset(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2)))
| spl6_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f97,plain,
( ~ spl6_3
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f78,f93,f89]) ).
fof(f78,plain,
( ~ member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),intersection(difference(sK0,sK1),difference(sK0,sK2)))
| ~ member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,union(sK1,sK2))) ),
inference(resolution,[],[f69,f70]) ).
fof(f70,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f42,f68]) ).
fof(f68,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ5_eqProxy])]) ).
fof(f42,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( X0 = X1
| ( ( ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) )
& ( member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f23,f24]) ).
fof(f24,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) )
=> ( ( ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) )
& ( member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1] :
( ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) )
& ( ! [X3] :
( ( member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X1)
| ~ member(X3,X0) ) )
| X0 != X1 ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( 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,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( X0 = X1
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f69,plain,
~ sQ5_eqProxy(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),
inference(equality_proxy_replacement,[],[f38,f68]) ).
fof(f38,plain,
difference(sK0,union(sK1,sK2)) != intersection(difference(sK0,sK1),difference(sK0,sK2)),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
difference(sK0,union(sK1,sK2)) != intersection(difference(sK0,sK1),difference(sK0,sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f15,f20]) ).
fof(f20,plain,
( ? [X0,X1,X2] : difference(X0,union(X1,X2)) != intersection(difference(X0,X1),difference(X0,X2))
=> difference(sK0,union(sK1,sK2)) != intersection(difference(sK0,sK1),difference(sK0,sK2)) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
? [X0,X1,X2] : difference(X0,union(X1,X2)) != intersection(difference(X0,X1),difference(X0,X2)),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] : difference(X0,union(X1,X2)) = intersection(difference(X0,X1),difference(X0,X2)),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X2] : difference(X0,union(X1,X2)) = intersection(difference(X0,X1),difference(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th85) ).
fof(f96,plain,
( spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f77,f93,f89]) ).
fof(f77,plain,
( member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),intersection(difference(sK0,sK1),difference(sK0,sK2)))
| member(sK3(difference(sK0,union(sK1,sK2)),intersection(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,union(sK1,sK2))) ),
inference(resolution,[],[f69,f71]) ).
fof(f71,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f41,f68]) ).
fof(f41,plain,
! [X0,X1] :
( X0 = X1
| member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET612+3 : TPTP v8.2.0. Released v2.2.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 13:22:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.74 % (12592)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.74 % (12585)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.55/0.74 % (12587)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.74 % (12586)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.55/0.74 % (12589)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.55/0.74 % (12588)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.74 % (12590)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.74 % (12591)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.55/0.74 % (12592)First to succeed.
% 0.55/0.74 % (12590)Refutation not found, incomplete strategy% (12590)------------------------------
% 0.55/0.74 % (12590)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (12590)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (12590)Memory used [KB]: 959
% 0.55/0.74 % (12590)Time elapsed: 0.003 s
% 0.55/0.74 % (12590)Instructions burned: 3 (million)
% 0.55/0.74 % (12591)Refutation not found, incomplete strategy% (12591)------------------------------
% 0.55/0.74 % (12591)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (12591)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (12591)Memory used [KB]: 959
% 0.55/0.74 % (12592)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12584"
% 0.55/0.74 % (12591)Time elapsed: 0.003 s
% 0.55/0.74 % (12591)Instructions burned: 3 (million)
% 0.55/0.74 % (12590)------------------------------
% 0.55/0.74 % (12590)------------------------------
% 0.55/0.74 % (12591)------------------------------
% 0.55/0.74 % (12591)------------------------------
% 0.55/0.74 % (12592)Refutation found. Thanks to Tanya!
% 0.55/0.74 % SZS status Theorem for theBenchmark
% 0.55/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.74 % (12592)------------------------------
% 0.55/0.74 % (12592)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (12592)Termination reason: Refutation
% 0.55/0.74
% 0.55/0.74 % (12592)Memory used [KB]: 1073
% 0.55/0.74 % (12592)Time elapsed: 0.004 s
% 0.55/0.74 % (12592)Instructions burned: 9 (million)
% 0.55/0.74 % (12584)Success in time 0.38 s
% 0.55/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------