TSTP Solution File: SET582+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET582+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 : n023.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 03:12:11 EDT 2024
% Result : Theorem 0.54s 0.77s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 90 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 879 ( 21 equ)
% Maximal formula atoms : 22 ( 9 avg)
% Number of connectives : 344 ( 137 ~; 149 |; 37 &)
% ( 17 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 583 ( 583 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 10 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 95 ( 82 !; 12 ?; 36 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_3,type,
sQ6_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f286,plain,
$false,
inference(avatar_sat_refutation,[],[f130,f132,f158,f168,f169,f180,f240,f242,f259,f263,f271,f273,f280,f285]) ).
tff(f285,plain,
( spl7_7
| ~ spl7_8
| spl7_10 ),
inference(avatar_contradiction_clause,[],[f284]) ).
tff(f284,plain,
( $false
| spl7_7
| ~ spl7_8
| spl7_10 ),
inference(subsumption_resolution,[],[f283,f157]) ).
tff(f157,plain,
( member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK1)
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f155]) ).
tff(f155,plain,
( spl7_8
<=> member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).
tff(f283,plain,
( ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK1)
| spl7_7
| spl7_10 ),
inference(subsumption_resolution,[],[f281,f153]) ).
tff(f153,plain,
( ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK2)
| spl7_7 ),
inference(avatar_component_clause,[],[f151]) ).
tff(f151,plain,
( spl7_7
<=> member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
tff(f281,plain,
( member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK2)
| ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK1)
| spl7_10 ),
inference(resolution,[],[f178,f57]) ).
tff(f57,plain,
! [X2: $i,X0: $i,X1: $i] :
( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f33]) ).
tff(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]) ).
tff(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]) ).
tff(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) ).
tff(f178,plain,
( ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),difference(sK1,sK2))
| spl7_10 ),
inference(avatar_component_clause,[],[f177]) ).
tff(f177,plain,
( spl7_10
<=> member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),difference(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
tff(f280,plain,
( ~ spl7_10
| spl7_4 ),
inference(avatar_split_clause,[],[f278,f127,f177]) ).
tff(f127,plain,
( spl7_4
<=> member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),union(difference(sK1,sK2),difference(sK2,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
tff(f278,plain,
( ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),difference(sK1,sK2))
| spl7_4 ),
inference(resolution,[],[f129,f59]) ).
tff(f59,plain,
! [X2: $i,X0: $i,X1: $i] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f35]) ).
tff(f35,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,[],[f34]) ).
tff(f34,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,[],[f2]) ).
tff(f2,axiom,
! [X0,X1,X2] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
tff(f129,plain,
( ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),union(difference(sK1,sK2),difference(sK2,sK1)))
| spl7_4 ),
inference(avatar_component_clause,[],[f127]) ).
tff(f273,plain,
( ~ spl7_3
| ~ spl7_7
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f272,f155,f151,f123]) ).
tff(f123,plain,
( spl7_3
<=> member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
tff(f272,plain,
( ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK0)
| ~ spl7_7
| ~ spl7_8 ),
inference(subsumption_resolution,[],[f260,f157]) ).
tff(f260,plain,
( ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK0)
| ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK1)
| ~ spl7_7 ),
inference(resolution,[],[f152,f39]) ).
tff(f39,plain,
! [X3: $i] :
( ~ member(X3,sK2)
| ~ member(X3,sK0)
| ~ member(X3,sK1) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( sK0 != symmetric_difference(sK1,sK2) )
& ! [X3] :
( ( ~ member(X3,sK0)
| ( ( ~ member(X3,sK2)
| ~ member(X3,sK1) )
& ( member(X3,sK2)
| member(X3,sK1) ) ) )
& ( ( ( member(X3,sK1)
| ~ member(X3,sK2) )
& ( member(X3,sK2)
| ~ member(X3,sK1) ) )
| member(X3,sK0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f16,f17]) ).
tff(f17,plain,
( ? [X0,X1,X2] :
( ( symmetric_difference(X1,X2) != X0 )
& ! [X3] :
( ( ~ member(X3,X0)
| ( ( ~ member(X3,X2)
| ~ member(X3,X1) )
& ( member(X3,X2)
| member(X3,X1) ) ) )
& ( ( ( member(X3,X1)
| ~ member(X3,X2) )
& ( member(X3,X2)
| ~ member(X3,X1) ) )
| member(X3,X0) ) ) )
=> ( ( sK0 != symmetric_difference(sK1,sK2) )
& ! [X3] :
( ( ~ member(X3,sK0)
| ( ( ~ member(X3,sK2)
| ~ member(X3,sK1) )
& ( member(X3,sK2)
| member(X3,sK1) ) ) )
& ( ( ( member(X3,sK1)
| ~ member(X3,sK2) )
& ( member(X3,sK2)
| ~ member(X3,sK1) ) )
| member(X3,sK0) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0,X1,X2] :
( ( symmetric_difference(X1,X2) != X0 )
& ! [X3] :
( ( ~ member(X3,X0)
| ( ( ~ member(X3,X2)
| ~ member(X3,X1) )
& ( member(X3,X2)
| member(X3,X1) ) ) )
& ( ( ( member(X3,X1)
| ~ member(X3,X2) )
& ( member(X3,X2)
| ~ member(X3,X1) ) )
| member(X3,X0) ) ) ),
inference(nnf_transformation,[],[f13]) ).
tff(f13,plain,
? [X0,X1,X2] :
( ( symmetric_difference(X1,X2) != X0 )
& ! [X3] :
( ~ member(X3,X0)
<=> ( member(X3,X1)
<=> member(X3,X2) ) ) ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,negated_conjecture,
~ ! [X0,X1,X2] :
( ! [X3] :
( ~ member(X3,X0)
<=> ( member(X3,X1)
<=> member(X3,X2) ) )
=> ( symmetric_difference(X1,X2) = X0 ) ),
inference(negated_conjecture,[],[f11]) ).
tff(f11,conjecture,
! [X0,X1,X2] :
( ! [X3] :
( ~ member(X3,X0)
<=> ( member(X3,X1)
<=> member(X3,X2) ) )
=> ( symmetric_difference(X1,X2) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th25) ).
tff(f152,plain,
( member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK2)
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f151]) ).
tff(f271,plain,
( ~ spl7_7
| ~ spl7_10 ),
inference(avatar_contradiction_clause,[],[f270]) ).
tff(f270,plain,
( $false
| ~ spl7_7
| ~ spl7_10 ),
inference(subsumption_resolution,[],[f268,f152]) ).
tff(f268,plain,
( ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK2)
| ~ spl7_10 ),
inference(resolution,[],[f179,f56]) ).
tff(f56,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ member(X2,difference(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f33]) ).
tff(f179,plain,
( member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),difference(sK1,sK2))
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f177]) ).
tff(f263,plain,
( ~ spl7_8
| ~ spl7_9 ),
inference(avatar_split_clause,[],[f261,f173,f155]) ).
tff(f173,plain,
( spl7_9
<=> member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),difference(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).
tff(f261,plain,
( ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK1)
| ~ spl7_9 ),
inference(resolution,[],[f175,f56]) ).
tff(f175,plain,
( member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),difference(sK2,sK1))
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f173]) ).
tff(f259,plain,
( spl7_8
| ~ spl7_10 ),
inference(avatar_contradiction_clause,[],[f258]) ).
tff(f258,plain,
( $false
| spl7_8
| ~ spl7_10 ),
inference(subsumption_resolution,[],[f257,f156]) ).
tff(f156,plain,
( ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK1)
| spl7_8 ),
inference(avatar_component_clause,[],[f155]) ).
tff(f257,plain,
( member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK1)
| ~ spl7_10 ),
inference(resolution,[],[f179,f55]) ).
tff(f55,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f33]) ).
tff(f242,plain,
( ~ spl7_7
| spl7_3
| spl7_8 ),
inference(avatar_split_clause,[],[f241,f155,f123,f151]) ).
tff(f241,plain,
( ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK2)
| spl7_3
| spl7_8 ),
inference(subsumption_resolution,[],[f181,f125]) ).
tff(f125,plain,
( ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK0)
| spl7_3 ),
inference(avatar_component_clause,[],[f123]) ).
tff(f181,plain,
( ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK2)
| member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK0)
| spl7_8 ),
inference(resolution,[],[f156,f37]) ).
tff(f37,plain,
! [X3: $i] :
( member(X3,sK1)
| ~ member(X3,sK2)
| member(X3,sK0) ),
inference(cnf_transformation,[],[f18]) ).
tff(f240,plain,
( spl7_7
| ~ spl7_9 ),
inference(avatar_split_clause,[],[f237,f173,f151]) ).
tff(f237,plain,
( member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK2)
| ~ spl7_9 ),
inference(resolution,[],[f175,f55]) ).
tff(f180,plain,
( spl7_9
| spl7_10
| ~ spl7_4 ),
inference(avatar_split_clause,[],[f171,f127,f177,f173]) ).
tff(f171,plain,
( member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),difference(sK1,sK2))
| member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),difference(sK2,sK1))
| ~ spl7_4 ),
inference(resolution,[],[f128,f58]) ).
tff(f58,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ member(X2,union(X0,X1))
| member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f35]) ).
tff(f128,plain,
( member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),union(difference(sK1,sK2),difference(sK2,sK1)))
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f127]) ).
tff(f169,plain,
( spl7_8
| ~ spl7_3
| spl7_7 ),
inference(avatar_split_clause,[],[f163,f151,f123,f155]) ).
tff(f163,plain,
( ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK0)
| member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK1)
| spl7_7 ),
inference(resolution,[],[f153,f38]) ).
tff(f38,plain,
! [X3: $i] :
( member(X3,sK2)
| ~ member(X3,sK0)
| member(X3,sK1) ),
inference(cnf_transformation,[],[f18]) ).
tff(f168,plain,
( spl7_3
| ~ spl7_8
| spl7_7 ),
inference(avatar_split_clause,[],[f164,f151,f155,f123]) ).
tff(f164,plain,
( ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK1)
| member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK0)
| spl7_7 ),
inference(resolution,[],[f153,f36]) ).
tff(f36,plain,
! [X3: $i] :
( member(X3,sK2)
| ~ member(X3,sK1)
| member(X3,sK0) ),
inference(cnf_transformation,[],[f18]) ).
tff(f158,plain,
( ~ spl7_7
| spl7_8
| spl7_4 ),
inference(avatar_split_clause,[],[f148,f127,f155,f151]) ).
tff(f148,plain,
( member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK1)
| ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK2)
| spl7_4 ),
inference(resolution,[],[f145,f57]) ).
tff(f145,plain,
( ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),difference(sK2,sK1))
| spl7_4 ),
inference(resolution,[],[f129,f60]) ).
tff(f60,plain,
! [X2: $i,X0: $i,X1: $i] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f35]) ).
tff(f132,plain,
( spl7_3
| spl7_4 ),
inference(avatar_split_clause,[],[f131,f127,f123]) ).
tff(f131,plain,
( member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),union(difference(sK1,sK2),difference(sK2,sK1)))
| member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK0) ),
inference(resolution,[],[f71,f69]) ).
tff(f69,plain,
~ sQ6_eqProxy($i,sK0,union(difference(sK1,sK2),difference(sK2,sK1))),
inference(equality_proxy_replacement,[],[f62,f68]) ).
tff(f68,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ6_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ6_eqProxy])]) ).
tff(f62,plain,
sK0 != union(difference(sK1,sK2),difference(sK2,sK1)),
inference(definition_unfolding,[],[f40,f61]) ).
tff(f61,plain,
! [X0: $i,X1: $i] : ( symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)) ),
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
! [X0,X1] : ( symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_difference_defn) ).
tff(f40,plain,
sK0 != symmetric_difference(sK1,sK2),
inference(cnf_transformation,[],[f18]) ).
tff(f71,plain,
! [X0: $i,X1: $i] :
( sQ6_eqProxy($i,X0,X1)
| member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f43,f68]) ).
tff(f43,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| member(sK3(X0,X1),X1)
| member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f22]) ).
tff(f22,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])],[f20,f21]) ).
tff(f21,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,[]) ).
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,[],[f8]) ).
tff(f8,axiom,
! [X0,X1] :
( ( X0 = X1 )
<=> ! [X2] :
( member(X2,X0)
<=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
tff(f130,plain,
( ~ spl7_3
| ~ spl7_4 ),
inference(avatar_split_clause,[],[f121,f127,f123]) ).
tff(f121,plain,
( ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),union(difference(sK1,sK2),difference(sK2,sK1)))
| ~ member(sK3(sK0,union(difference(sK1,sK2),difference(sK2,sK1))),sK0) ),
inference(resolution,[],[f70,f69]) ).
tff(f70,plain,
! [X0: $i,X1: $i] :
( sQ6_eqProxy($i,X0,X1)
| ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f44,f68]) ).
tff(f44,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ member(sK3(X0,X1),X1)
| ~ member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET582+3 : TPTP v8.2.0. Released v2.2.0.
% 0.10/0.13 % 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
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon May 20 13:27:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.34 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
% 0.54/0.76 % (21672)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.54/0.76 % (21673)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.54/0.76 % (21674)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 (2995ds/34Mi)
% 0.54/0.76 % (21675)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.54/0.76 % (21676)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 (2995ds/83Mi)
% 0.54/0.76 % (21677)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 (2995ds/56Mi)
% 0.54/0.76 % (21670)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 (2995ds/34Mi)
% 0.54/0.76 % (21673)Refutation not found, incomplete strategy% (21673)------------------------------
% 0.54/0.76 % (21673)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (21673)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (21673)Memory used [KB]: 957
% 0.54/0.76 % (21673)Time elapsed: 0.003 s
% 0.54/0.76 % (21673)Instructions burned: 3 (million)
% 0.54/0.76 % (21677)Refutation not found, incomplete strategy% (21677)------------------------------
% 0.54/0.76 % (21677)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (21677)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (21677)Memory used [KB]: 961
% 0.54/0.76 % (21677)Time elapsed: 0.003 s
% 0.54/0.76 % (21677)Instructions burned: 3 (million)
% 0.54/0.76 % (21673)------------------------------
% 0.54/0.76 % (21673)------------------------------
% 0.54/0.76 % (21675)Refutation not found, incomplete strategy% (21675)------------------------------
% 0.54/0.76 % (21675)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (21675)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (21675)Memory used [KB]: 1023
% 0.54/0.76 % (21675)Time elapsed: 0.003 s
% 0.54/0.76 % (21675)Instructions burned: 3 (million)
% 0.54/0.76 % (21677)------------------------------
% 0.54/0.76 % (21677)------------------------------
% 0.54/0.76 % (21675)------------------------------
% 0.54/0.76 % (21675)------------------------------
% 0.54/0.76 % (21671)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 (2995ds/51Mi)
% 0.54/0.76 % (21678)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 theBenchmark for (2995ds/55Mi)
% 0.54/0.76 % (21680)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.54/0.77 % (21670)First to succeed.
% 0.54/0.77 % (21678)Refutation not found, incomplete strategy% (21678)------------------------------
% 0.54/0.77 % (21678)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77 % (21678)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.77
% 0.54/0.77 % (21678)Memory used [KB]: 1041
% 0.54/0.77 % (21678)Time elapsed: 0.003 s
% 0.54/0.77 % (21678)Instructions burned: 4 (million)
% 0.54/0.77 % (21678)------------------------------
% 0.54/0.77 % (21678)------------------------------
% 0.54/0.77 % (21679)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 theBenchmark for (2995ds/50Mi)
% 0.54/0.77 % (21670)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21669"
% 0.54/0.77 % (21670)Refutation found. Thanks to Tanya!
% 0.54/0.77 % SZS status Theorem for theBenchmark
% 0.54/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 0.54/0.77 % (21670)------------------------------
% 0.54/0.77 % (21670)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77 % (21670)Termination reason: Refutation
% 0.54/0.77
% 0.54/0.77 % (21670)Memory used [KB]: 1094
% 0.54/0.77 % (21670)Time elapsed: 0.009 s
% 0.54/0.77 % (21670)Instructions burned: 13 (million)
% 0.54/0.77 % (21669)Success in time 0.423 s
% 0.54/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------