TSTP Solution File: SET010+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET010+3 : TPTP v8.1.2. 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 : n015.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 : Sun May 5 09:02:43 EDT 2024
% Result : Theorem 0.70s 0.88s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 92 ( 7 unt; 0 def)
% Number of atoms : 260 ( 17 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 286 ( 118 ~; 127 |; 25 &)
% ( 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 93 ( 84 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f160,plain,
$false,
inference(avatar_sat_refutation,[],[f96,f97,f113,f119,f123,f133,f143,f147,f149,f153,f154,f158,f159]) ).
fof(f159,plain,
( spl6_6
| ~ spl6_8 ),
inference(avatar_split_clause,[],[f156,f130,f110]) ).
fof(f110,plain,
( spl6_6
<=> member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f130,plain,
( spl6_8
<=> member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),intersection(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f156,plain,
( member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK2)
| ~ spl6_8 ),
inference(resolution,[],[f132,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
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/tmp/tmp.o4ljjaUB5u/Vampire---4.8_28173',intersection_defn) ).
fof(f132,plain,
( member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),intersection(sK1,sK2))
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f158,plain,
( spl6_5
| ~ spl6_8 ),
inference(avatar_contradiction_clause,[],[f157]) ).
fof(f157,plain,
( $false
| spl6_5
| ~ spl6_8 ),
inference(subsumption_resolution,[],[f155,f108]) ).
fof(f108,plain,
( ~ member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK1)
| spl6_5 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl6_5
<=> member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f155,plain,
( member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK1)
| ~ spl6_8 ),
inference(resolution,[],[f132,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f154,plain,
( ~ spl6_6
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f151,f136,f110]) ).
fof(f136,plain,
( spl6_9
<=> member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f151,plain,
( ~ member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK2)
| ~ spl6_9 ),
inference(resolution,[],[f138,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/tmp/tmp.o4ljjaUB5u/Vampire---4.8_28173',difference_defn) ).
fof(f138,plain,
( member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,sK2))
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f153,plain,
( spl6_7
| ~ spl6_9 ),
inference(avatar_contradiction_clause,[],[f152]) ).
fof(f152,plain,
( $false
| spl6_7
| ~ spl6_9 ),
inference(subsumption_resolution,[],[f150,f128]) ).
fof(f128,plain,
( ~ member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK0)
| spl6_7 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl6_7
<=> member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f150,plain,
( member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK0)
| ~ spl6_9 ),
inference(resolution,[],[f138,f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f149,plain,
( ~ spl6_5
| ~ spl6_10 ),
inference(avatar_contradiction_clause,[],[f148]) ).
fof(f148,plain,
( $false
| ~ spl6_5
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f145,f107]) ).
fof(f107,plain,
( member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK1)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f145,plain,
( ~ member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK1)
| ~ spl6_10 ),
inference(resolution,[],[f142,f58]) ).
fof(f142,plain,
( member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,sK1))
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl6_10
<=> member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f147,plain,
( spl6_7
| ~ spl6_10 ),
inference(avatar_contradiction_clause,[],[f146]) ).
fof(f146,plain,
( $false
| spl6_7
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f144,f128]) ).
fof(f144,plain,
( member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK0)
| ~ spl6_10 ),
inference(resolution,[],[f142,f57]) ).
fof(f143,plain,
( spl6_9
| spl6_10
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f134,f93,f140,f136]) ).
fof(f93,plain,
( spl6_4
<=> member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),union(difference(sK0,sK1),difference(sK0,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f134,plain,
( member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,sK1))
| member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,sK2))
| ~ spl6_4 ),
inference(resolution,[],[f95,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/tmp/tmp.o4ljjaUB5u/Vampire---4.8_28173',union_defn) ).
fof(f95,plain,
( member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),union(difference(sK0,sK1),difference(sK0,sK2)))
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f133,plain,
( ~ spl6_7
| spl6_8
| spl6_3 ),
inference(avatar_split_clause,[],[f124,f89,f130,f126]) ).
fof(f89,plain,
( spl6_3
<=> member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,intersection(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f124,plain,
( member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),intersection(sK1,sK2))
| ~ member(sK3(difference(sK0,intersection(sK1,sK2)),union(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,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,intersection(sK1,sK2)))
| spl6_3 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f123,plain,
( ~ spl6_3
| spl6_4
| spl6_6 ),
inference(avatar_contradiction_clause,[],[f122]) ).
fof(f122,plain,
( $false
| ~ spl6_3
| spl6_4
| spl6_6 ),
inference(subsumption_resolution,[],[f121,f100]) ).
fof(f100,plain,
( member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK0)
| ~ spl6_3 ),
inference(resolution,[],[f91,f57]) ).
fof(f91,plain,
( member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,intersection(sK1,sK2)))
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f121,plain,
( ~ member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK0)
| spl6_4
| spl6_6 ),
inference(subsumption_resolution,[],[f120,f112]) ).
fof(f112,plain,
( ~ member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK2)
| spl6_6 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f120,plain,
( member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK2)
| ~ member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK0)
| spl6_4 ),
inference(resolution,[],[f103,f59]) ).
fof(f103,plain,
( ~ member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,sK2))
| spl6_4 ),
inference(resolution,[],[f94,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f94,plain,
( ~ member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),union(difference(sK0,sK1),difference(sK0,sK2)))
| spl6_4 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f119,plain,
( spl6_5
| ~ spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f118,f93,f89,f106]) ).
fof(f118,plain,
( member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK1)
| ~ spl6_3
| spl6_4 ),
inference(subsumption_resolution,[],[f114,f100]) ).
fof(f114,plain,
( member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK1)
| ~ member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK0)
| spl6_4 ),
inference(resolution,[],[f102,f59]) ).
fof(f102,plain,
( ~ member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,sK1))
| spl6_4 ),
inference(resolution,[],[f94,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f113,plain,
( ~ spl6_5
| ~ spl6_6
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f104,f89,f110,f106]) ).
fof(f104,plain,
( ~ member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK2)
| ~ member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),sK1)
| ~ spl6_3 ),
inference(resolution,[],[f101,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f101,plain,
( ~ member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),intersection(sK1,sK2))
| ~ spl6_3 ),
inference(resolution,[],[f91,f58]) ).
fof(f97,plain,
( ~ spl6_3
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f78,f93,f89]) ).
fof(f78,plain,
( ~ member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),union(difference(sK0,sK1),difference(sK0,sK2)))
| ~ member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,intersection(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/tmp/tmp.o4ljjaUB5u/Vampire---4.8_28173',equal_member_defn) ).
fof(f69,plain,
~ sQ5_eqProxy(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),
inference(equality_proxy_replacement,[],[f38,f68]) ).
fof(f38,plain,
difference(sK0,intersection(sK1,sK2)) != union(difference(sK0,sK1),difference(sK0,sK2)),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
difference(sK0,intersection(sK1,sK2)) != union(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,intersection(X1,X2)) != union(difference(X0,X1),difference(X0,X2))
=> difference(sK0,intersection(sK1,sK2)) != union(difference(sK0,sK1),difference(sK0,sK2)) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
? [X0,X1,X2] : difference(X0,intersection(X1,X2)) != union(difference(X0,X1),difference(X0,X2)),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] : difference(X0,intersection(X1,X2)) = union(difference(X0,X1),difference(X0,X2)),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X2] : difference(X0,intersection(X1,X2)) = union(difference(X0,X1),difference(X0,X2)),
file('/export/starexec/sandbox2/tmp/tmp.o4ljjaUB5u/Vampire---4.8_28173',prove_difference_and_intersection_and_union) ).
fof(f96,plain,
( spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f77,f93,f89]) ).
fof(f77,plain,
( member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),union(difference(sK0,sK1),difference(sK0,sK2)))
| member(sK3(difference(sK0,intersection(sK1,sK2)),union(difference(sK0,sK1),difference(sK0,sK2))),difference(sK0,intersection(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
% 0.06/0.12 % Problem : SET010+3 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.14 % 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
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 16:46:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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/tmp/tmp.o4ljjaUB5u/Vampire---4.8_28173
% 0.70/0.88 % (28455)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.70/0.88 % (28453)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 Vampire---4 for (2994ds/34Mi)
% 0.70/0.88 % (28456)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.70/0.88 % (28457)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 Vampire---4 for (2994ds/34Mi)
% 0.70/0.88 % (28454)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 Vampire---4 for (2994ds/51Mi)
% 0.70/0.88 % (28458)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.70/0.88 % (28460)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.70/0.88 % (28459)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 Vampire---4 for (2994ds/83Mi)
% 0.70/0.88 % (28458)Refutation not found, incomplete strategy% (28458)------------------------------
% 0.70/0.88 % (28458)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.88 % (28458)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.88
% 0.70/0.88 % (28458)Memory used [KB]: 959
% 0.70/0.88 % (28458)Time elapsed: 0.003 s
% 0.70/0.88 % (28458)Instructions burned: 3 (million)
% 0.70/0.88 % (28459)Refutation not found, incomplete strategy% (28459)------------------------------
% 0.70/0.88 % (28459)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.88 % (28459)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.88
% 0.70/0.88 % (28458)------------------------------
% 0.70/0.88 % (28458)------------------------------
% 0.70/0.88 % (28459)Memory used [KB]: 959
% 0.70/0.88 % (28459)Time elapsed: 0.003 s
% 0.70/0.88 % (28459)Instructions burned: 3 (million)
% 0.70/0.88 % (28459)------------------------------
% 0.70/0.88 % (28459)------------------------------
% 0.70/0.88 % (28460)First to succeed.
% 0.70/0.88 % (28460)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28386"
% 0.70/0.88 % (28457)Also succeeded, but the first one will report.
% 0.70/0.88 % (28460)Refutation found. Thanks to Tanya!
% 0.70/0.88 % SZS status Theorem for Vampire---4
% 0.70/0.88 % SZS output start Proof for Vampire---4
% See solution above
% 0.70/0.88 % (28460)------------------------------
% 0.70/0.88 % (28460)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.88 % (28460)Termination reason: Refutation
% 0.70/0.88
% 0.70/0.88 % (28460)Memory used [KB]: 1069
% 0.70/0.88 % (28460)Time elapsed: 0.005 s
% 0.70/0.88 % (28460)Instructions burned: 7 (million)
% 0.70/0.88 % (28386)Success in time 0.521 s
% 0.70/0.88 % Vampire---4.8 exiting
%------------------------------------------------------------------------------