TSTP Solution File: SET620+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET620+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 : n013.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 09:07:38 EDT 2024
% Result : Theorem 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 102 ( 10 unt; 1 typ; 0 def)
% Number of atoms : 1283 ( 20 equ)
% Maximal formula atoms : 10 ( 12 avg)
% Number of connectives : 311 ( 132 ~; 139 |; 25 &)
% ( 13 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 1003 (1003 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 10 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 104 ( 96 !; 7 ?; 50 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_3,type,
sQ3_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f226,plain,
$false,
inference(avatar_sat_refutation,[],[f150,f155,f169,f174,f183,f185,f189,f191,f202,f203,f205,f210,f216,f219,f220,f225]) ).
tff(f225,plain,
( spl4_7
| ~ spl4_8
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f224]) ).
tff(f224,plain,
( $false
| spl4_7
| ~ spl4_8
| ~ spl4_9 ),
inference(subsumption_resolution,[],[f223,f182]) ).
tff(f182,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f180]) ).
tff(f180,plain,
( spl4_9
<=> member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
tff(f223,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| spl4_7
| ~ spl4_8 ),
inference(subsumption_resolution,[],[f222,f178]) ).
tff(f178,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f176]) ).
tff(f176,plain,
( spl4_8
<=> member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
tff(f222,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1)
| ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| spl4_7 ),
inference(resolution,[],[f163,f53]) ).
tff(f53,plain,
! [X2: $i,X0: $i,X1: $i] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f30]) ).
tff(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(flattening,[],[f29]) ).
tff(f29,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,[],[f5]) ).
tff(f5,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RjLNdILXaH/Vampire---4.8_12843',intersection_defn) ).
tff(f163,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),intersection(sK0,sK1))
| spl4_7 ),
inference(avatar_component_clause,[],[f162]) ).
tff(f162,plain,
( spl4_7
<=> member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),intersection(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
tff(f220,plain,
( ~ spl4_9
| spl4_8
| spl4_4 ),
inference(avatar_split_clause,[],[f211,f143,f176,f180]) ).
tff(f143,plain,
( spl4_4
<=> member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
tff(f211,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1)
| ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| spl4_4 ),
inference(resolution,[],[f144,f47]) ).
tff(f47,plain,
! [X2: $i,X0: $i,X1: $i] :
( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f26]) ).
tff(f26,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,[],[f25]) ).
tff(f25,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,[],[f6]) ).
tff(f6,axiom,
! [X0,X1,X2] :
( member(X2,difference(X0,X1))
<=> ( ~ member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RjLNdILXaH/Vampire---4.8_12843',difference_defn) ).
tff(f144,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(sK0,sK1))
| spl4_4 ),
inference(avatar_component_clause,[],[f143]) ).
tff(f219,plain,
( spl4_6
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f215,f147,f158]) ).
tff(f158,plain,
( spl4_6
<=> member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),union(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
tff(f147,plain,
( spl4_5
<=> member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(union(sK0,sK1),intersection(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
tff(f215,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),union(sK0,sK1))
| ~ spl4_5 ),
inference(resolution,[],[f149,f45]) ).
tff(f45,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f26]) ).
tff(f149,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(union(sK0,sK1),intersection(sK0,sK1)))
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f147]) ).
tff(f216,plain,
( ~ spl4_7
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f214,f147,f162]) ).
tff(f214,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),intersection(sK0,sK1))
| ~ spl4_5 ),
inference(resolution,[],[f149,f46]) ).
tff(f46,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ member(X2,difference(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f26]) ).
tff(f210,plain,
( ~ spl4_9
| spl4_6 ),
inference(avatar_split_clause,[],[f207,f158,f180]) ).
tff(f207,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| spl4_6 ),
inference(resolution,[],[f160,f49]) ).
tff(f49,plain,
! [X2: $i,X0: $i,X1: $i] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f28]) ).
tff(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(flattening,[],[f27]) ).
tff(f27,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,[],[f4]) ).
tff(f4,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RjLNdILXaH/Vampire---4.8_12843',union_defn) ).
tff(f160,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),union(sK0,sK1))
| spl4_6 ),
inference(avatar_component_clause,[],[f158]) ).
tff(f205,plain,
( ~ spl4_6
| spl4_7
| spl4_5 ),
inference(avatar_split_clause,[],[f204,f147,f162,f158]) ).
tff(f204,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),intersection(sK0,sK1))
| ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),union(sK0,sK1))
| spl4_5 ),
inference(resolution,[],[f148,f47]) ).
tff(f148,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(union(sK0,sK1),intersection(sK0,sK1)))
| spl4_5 ),
inference(avatar_component_clause,[],[f147]) ).
tff(f203,plain,
( spl4_9
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f200,f143,f180]) ).
tff(f200,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| ~ spl4_4 ),
inference(resolution,[],[f145,f45]) ).
tff(f145,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(sK0,sK1))
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f143]) ).
tff(f202,plain,
( ~ spl4_5
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f201,f143,f147]) ).
tff(f201,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(union(sK0,sK1),intersection(sK0,sK1)))
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f198,f61]) ).
tff(f61,plain,
~ sQ3_eqProxy($i,difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),
inference(equality_proxy_replacement,[],[f54,f60]) ).
tff(f60,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ3_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ3_eqProxy])]) ).
tff(f54,plain,
difference(union(sK0,sK1),intersection(sK0,sK1)) != union(difference(sK0,sK1),difference(sK1,sK0)),
inference(definition_unfolding,[],[f31,f44]) ).
tff(f44,plain,
! [X0: $i,X1: $i] : ( symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)) ),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0,X1] : ( symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.RjLNdILXaH/Vampire---4.8_12843',symmetric_difference_defn) ).
tff(f31,plain,
symmetric_difference(sK0,sK1) != difference(union(sK0,sK1),intersection(sK0,sK1)),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
symmetric_difference(sK0,sK1) != difference(union(sK0,sK1),intersection(sK0,sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).
tff(f17,plain,
( ? [X0,X1] : ( symmetric_difference(X0,X1) != difference(union(X0,X1),intersection(X0,X1)) )
=> ( symmetric_difference(sK0,sK1) != difference(union(sK0,sK1),intersection(sK0,sK1)) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0,X1] : ( symmetric_difference(X0,X1) != difference(union(X0,X1),intersection(X0,X1)) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,negated_conjecture,
~ ! [X0,X1] : ( symmetric_difference(X0,X1) = difference(union(X0,X1),intersection(X0,X1)) ),
inference(negated_conjecture,[],[f14]) ).
tff(f14,conjecture,
! [X0,X1] : ( symmetric_difference(X0,X1) = difference(union(X0,X1),intersection(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.RjLNdILXaH/Vampire---4.8_12843',prove_th96) ).
tff(f198,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(union(sK0,sK1),intersection(sK0,sK1)))
| sQ3_eqProxy($i,difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0)))
| ~ spl4_4 ),
inference(resolution,[],[f145,f91]) ).
tff(f91,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ member(sK2(X0,union(X1,X2)),X1)
| ~ member(sK2(X0,union(X1,X2)),X0)
| sQ3_eqProxy($i,X0,union(X1,X2)) ),
inference(resolution,[],[f62,f49]) ).
tff(f62,plain,
! [X0: $i,X1: $i] :
( ~ member(sK2(X0,X1),X1)
| sQ3_eqProxy($i,X0,X1)
| ~ member(sK2(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f35,f60]) ).
tff(f35,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ member(sK2(X0,X1),X1)
| ~ member(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
! [X0,X1] :
( ( ( X0 = X1 )
| ( ( ~ member(sK2(X0,X1),X1)
| ~ member(sK2(X0,X1),X0) )
& ( member(sK2(X0,X1),X1)
| member(sK2(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,[sK2])],[f20,f21]) ).
tff(f21,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) )
=> ( ( ~ member(sK2(X0,X1),X1)
| ~ member(sK2(X0,X1),X0) )
& ( member(sK2(X0,X1),X1)
| member(sK2(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
tff(f20,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,[],[f19]) ).
tff(f19,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,[],[f11]) ).
tff(f11,axiom,
! [X0,X1] :
( ( X0 = X1 )
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RjLNdILXaH/Vampire---4.8_12843',equal_member_defn) ).
tff(f191,plain,
( spl4_8
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f171,f162,f176]) ).
tff(f171,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1)
| ~ spl4_7 ),
inference(resolution,[],[f164,f52]) ).
tff(f52,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f30]) ).
tff(f164,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),intersection(sK0,sK1))
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f162]) ).
tff(f189,plain,
( ~ spl4_8
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f187,f143,f176]) ).
tff(f187,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1)
| ~ spl4_4 ),
inference(resolution,[],[f145,f46]) ).
tff(f185,plain,
( ~ spl4_8
| spl4_9
| spl4_3 ),
inference(avatar_split_clause,[],[f184,f139,f180,f176]) ).
tff(f139,plain,
( spl4_3
<=> member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
tff(f184,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1)
| spl4_3 ),
inference(resolution,[],[f140,f47]) ).
tff(f140,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(sK1,sK0))
| spl4_3 ),
inference(avatar_component_clause,[],[f139]) ).
tff(f183,plain,
( spl4_8
| spl4_9
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f170,f158,f180,f176]) ).
tff(f170,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1)
| ~ spl4_6 ),
inference(resolution,[],[f159,f48]) ).
tff(f48,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ member(X2,union(X0,X1))
| member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f28]) ).
tff(f159,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),union(sK0,sK1))
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f158]) ).
tff(f174,plain,
( ~ spl4_3
| ~ spl4_7 ),
inference(avatar_contradiction_clause,[],[f173]) ).
tff(f173,plain,
( $false
| ~ spl4_3
| ~ spl4_7 ),
inference(subsumption_resolution,[],[f172,f152]) ).
tff(f152,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| ~ spl4_3 ),
inference(resolution,[],[f141,f46]) ).
tff(f141,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(sK1,sK0))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f139]) ).
tff(f172,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK0)
| ~ spl4_7 ),
inference(resolution,[],[f164,f51]) ).
tff(f51,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f30]) ).
tff(f169,plain,
( ~ spl4_3
| spl4_6 ),
inference(avatar_contradiction_clause,[],[f168]) ).
tff(f168,plain,
( $false
| ~ spl4_3
| spl4_6 ),
inference(subsumption_resolution,[],[f166,f153]) ).
tff(f153,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1)
| ~ spl4_3 ),
inference(resolution,[],[f141,f45]) ).
tff(f166,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),sK1)
| spl4_6 ),
inference(resolution,[],[f160,f50]) ).
tff(f50,plain,
! [X2: $i,X0: $i,X1: $i] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f28]) ).
tff(f155,plain,
( ~ spl4_5
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f154,f139,f147]) ).
tff(f154,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(union(sK0,sK1),intersection(sK0,sK1)))
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f151,f61]) ).
tff(f151,plain,
( ~ member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(union(sK0,sK1),intersection(sK0,sK1)))
| sQ3_eqProxy($i,difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0)))
| ~ spl4_3 ),
inference(resolution,[],[f141,f90]) ).
tff(f90,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ member(sK2(X0,union(X1,X2)),X2)
| ~ member(sK2(X0,union(X1,X2)),X0)
| sQ3_eqProxy($i,X0,union(X1,X2)) ),
inference(resolution,[],[f62,f50]) ).
tff(f150,plain,
( spl4_3
| spl4_4
| spl4_5 ),
inference(avatar_split_clause,[],[f137,f147,f143,f139]) ).
tff(f137,plain,
( member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(union(sK0,sK1),intersection(sK0,sK1)))
| member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(sK0,sK1))
| member(sK2(difference(union(sK0,sK1),intersection(sK0,sK1)),union(difference(sK0,sK1),difference(sK1,sK0))),difference(sK1,sK0)) ),
inference(resolution,[],[f100,f61]) ).
tff(f100,plain,
! [X2: $i,X0: $i,X1: $i] :
( sQ3_eqProxy($i,X0,union(X1,X2))
| member(sK2(X0,union(X1,X2)),X0)
| member(sK2(X0,union(X1,X2)),X1)
| member(sK2(X0,union(X1,X2)),X2) ),
inference(resolution,[],[f63,f48]) ).
tff(f63,plain,
! [X0: $i,X1: $i] :
( member(sK2(X0,X1),X1)
| sQ3_eqProxy($i,X0,X1)
| member(sK2(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f34,f60]) ).
tff(f34,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| member(sK2(X0,X1),X1)
| member(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET620+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.15 % 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
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 17:00:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 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/tmp/tmp.RjLNdILXaH/Vampire---4.8_12843
% 0.55/0.75 % (13126)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 (2996ds/83Mi)
% 0.55/0.75 % (13122)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (13120)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 (2996ds/34Mi)
% 0.55/0.75 % (13121)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 (2996ds/51Mi)
% 0.55/0.75 % (13123)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.75 % (13124)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 (2996ds/34Mi)
% 0.55/0.75 % (13125)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.75 % (13126)Refutation not found, incomplete strategy% (13126)------------------------------
% 0.55/0.75 % (13126)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (13126)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (13126)Memory used [KB]: 958
% 0.55/0.75 % (13126)Time elapsed: 0.002 s
% 0.55/0.75 % (13126)Instructions burned: 3 (million)
% 0.55/0.75 % (13126)------------------------------
% 0.55/0.75 % (13126)------------------------------
% 0.55/0.75 % (13125)Refutation not found, incomplete strategy% (13125)------------------------------
% 0.55/0.75 % (13125)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (13125)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (13125)Memory used [KB]: 959
% 0.55/0.75 % (13125)Time elapsed: 0.003 s
% 0.55/0.75 % (13125)Instructions burned: 3 (million)
% 0.55/0.75 % (13125)------------------------------
% 0.55/0.75 % (13125)------------------------------
% 0.55/0.75 % (13123)Refutation not found, incomplete strategy% (13123)------------------------------
% 0.55/0.75 % (13123)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (13123)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (13123)Memory used [KB]: 975
% 0.55/0.75 % (13123)Time elapsed: 0.003 s
% 0.55/0.75 % (13123)Instructions burned: 3 (million)
% 0.55/0.75 % (13123)------------------------------
% 0.55/0.75 % (13123)------------------------------
% 0.55/0.75 % (13127)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 (2996ds/56Mi)
% 0.55/0.76 % (13124)Refutation not found, incomplete strategy% (13124)------------------------------
% 0.55/0.76 % (13124)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (13124)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (13124)Memory used [KB]: 1067
% 0.55/0.76 % (13124)Time elapsed: 0.005 s
% 0.55/0.76 % (13124)Instructions burned: 6 (million)
% 0.55/0.76 % (13124)------------------------------
% 0.55/0.76 % (13124)------------------------------
% 0.55/0.76 % (13129)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.55/0.76 % (13129)Refutation not found, incomplete strategy% (13129)------------------------------
% 0.55/0.76 % (13129)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (13129)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (13129)Memory used [KB]: 1027
% 0.55/0.76 % (13129)Time elapsed: 0.002 s
% 0.55/0.76 % (13129)Instructions burned: 3 (million)
% 0.55/0.76 % (13129)------------------------------
% 0.55/0.76 % (13129)------------------------------
% 0.55/0.76 % (13128)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.55/0.76 % (13120)First to succeed.
% 0.55/0.76 % (13130)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.55/0.76 % (13127)Also succeeded, but the first one will report.
% 0.55/0.76 % (13120)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13043"
% 0.55/0.76 % (13132)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.55/0.76 % (13120)Refutation found. Thanks to Tanya!
% 0.55/0.76 % SZS status Theorem for Vampire---4
% 0.55/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.76 % (13120)------------------------------
% 0.55/0.76 % (13120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (13120)Termination reason: Refutation
% 0.55/0.76
% 0.55/0.76 % (13120)Memory used [KB]: 1090
% 0.55/0.76 % (13120)Time elapsed: 0.010 s
% 0.55/0.76 % (13120)Instructions burned: 14 (million)
% 0.55/0.76 % (13043)Success in time 0.388 s
% 0.55/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------