TSTP Solution File: SEU359+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU359+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:22:42 EDT 2024
% Result : Theorem 0.62s 0.77s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 17
% Syntax : Number of formulae : 124 ( 4 unt; 0 def)
% Number of atoms : 756 ( 52 equ)
% Maximal formula atoms : 20 ( 6 avg)
% Number of connectives : 1075 ( 443 ~; 442 |; 139 &)
% ( 12 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 7 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 198 ( 161 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f185,plain,
$false,
inference(avatar_sat_refutation,[],[f84,f88,f93,f118,f124,f128,f129,f156,f157,f180,f184]) ).
fof(f184,plain,
( spl10_5
| ~ spl10_2
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f183,f81,f77,f90]) ).
fof(f90,plain,
( spl10_5
<=> relstr_set_smaller(sK2,sK4,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f77,plain,
( spl10_2
<=> sK3 = join_on_relstr(sK2,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f81,plain,
( spl10_3
<=> ex_sup_of_relstr_set(sK2,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f183,plain,
( relstr_set_smaller(sK2,sK4,sK3)
| ~ spl10_2
| ~ spl10_3 ),
inference(subsumption_resolution,[],[f182,f51]) ).
fof(f51,plain,
rel_str(sK2),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( ( ( ~ ex_sup_of_relstr_set(sK2,sK4)
| sK3 != join_on_relstr(sK2,sK4) )
& ! [X3] :
( related(sK2,sK3,X3)
| ~ relstr_set_smaller(sK2,sK4,X3)
| ~ element(X3,the_carrier(sK2)) )
& relstr_set_smaller(sK2,sK4,sK3) )
| sP0(sK3,sK2,sK4) )
& element(sK3,the_carrier(sK2))
& rel_str(sK2)
& antisymmetric_relstr(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f22,f29,f28,f27]) ).
fof(f27,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(X0,X2)
| join_on_relstr(X0,X2) != X1 )
& ! [X3] :
( related(X0,X1,X3)
| ~ relstr_set_smaller(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
| sP0(X1,X0,X2) )
& element(X1,the_carrier(X0)) )
& rel_str(X0)
& antisymmetric_relstr(X0) )
=> ( ? [X1] :
( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(sK2,X2)
| join_on_relstr(sK2,X2) != X1 )
& ! [X3] :
( related(sK2,X1,X3)
| ~ relstr_set_smaller(sK2,X2,X3)
| ~ element(X3,the_carrier(sK2)) )
& relstr_set_smaller(sK2,X2,X1) )
| sP0(X1,sK2,X2) )
& element(X1,the_carrier(sK2)) )
& rel_str(sK2)
& antisymmetric_relstr(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
( ? [X1] :
( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(sK2,X2)
| join_on_relstr(sK2,X2) != X1 )
& ! [X3] :
( related(sK2,X1,X3)
| ~ relstr_set_smaller(sK2,X2,X3)
| ~ element(X3,the_carrier(sK2)) )
& relstr_set_smaller(sK2,X2,X1) )
| sP0(X1,sK2,X2) )
& element(X1,the_carrier(sK2)) )
=> ( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(sK2,X2)
| join_on_relstr(sK2,X2) != sK3 )
& ! [X3] :
( related(sK2,sK3,X3)
| ~ relstr_set_smaller(sK2,X2,X3)
| ~ element(X3,the_carrier(sK2)) )
& relstr_set_smaller(sK2,X2,sK3) )
| sP0(sK3,sK2,X2) )
& element(sK3,the_carrier(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(sK2,X2)
| join_on_relstr(sK2,X2) != sK3 )
& ! [X3] :
( related(sK2,sK3,X3)
| ~ relstr_set_smaller(sK2,X2,X3)
| ~ element(X3,the_carrier(sK2)) )
& relstr_set_smaller(sK2,X2,sK3) )
| sP0(sK3,sK2,X2) )
=> ( ( ( ~ ex_sup_of_relstr_set(sK2,sK4)
| sK3 != join_on_relstr(sK2,sK4) )
& ! [X3] :
( related(sK2,sK3,X3)
| ~ relstr_set_smaller(sK2,sK4,X3)
| ~ element(X3,the_carrier(sK2)) )
& relstr_set_smaller(sK2,sK4,sK3) )
| sP0(sK3,sK2,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(X0,X2)
| join_on_relstr(X0,X2) != X1 )
& ! [X3] :
( related(X0,X1,X3)
| ~ relstr_set_smaller(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
| sP0(X1,X0,X2) )
& element(X1,the_carrier(X0)) )
& rel_str(X0)
& antisymmetric_relstr(X0) ),
inference(definition_folding,[],[f15,f21]) ).
fof(f21,plain,
! [X1,X0,X2] :
( ( ( ? [X4] :
( ~ related(X0,X1,X4)
& relstr_set_smaller(X0,X2,X4)
& element(X4,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) )
& ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
| ~ sP0(X1,X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f15,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(X0,X2)
| join_on_relstr(X0,X2) != X1 )
& ! [X3] :
( related(X0,X1,X3)
| ~ relstr_set_smaller(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
| ( ( ? [X4] :
( ~ related(X0,X1,X4)
& relstr_set_smaller(X0,X2,X4)
& element(X4,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) )
& ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 ) )
& element(X1,the_carrier(X0)) )
& rel_str(X0)
& antisymmetric_relstr(X0) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(X0,X2)
| join_on_relstr(X0,X2) != X1 )
& ! [X3] :
( related(X0,X1,X3)
| ~ relstr_set_smaller(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X2,X1) )
| ( ( ? [X4] :
( ~ related(X0,X1,X4)
& relstr_set_smaller(X0,X2,X4)
& element(X4,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) )
& ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 ) )
& element(X1,the_carrier(X0)) )
& rel_str(X0)
& antisymmetric_relstr(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
~ ! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) )
& relstr_set_smaller(X0,X2,X1) )
=> ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 ) )
& ( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
=> ( ! [X4] :
( element(X4,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X4)
=> related(X0,X1,X4) ) )
& relstr_set_smaller(X0,X2,X1) ) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) )
& relstr_set_smaller(X0,X2,X1) )
=> ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 ) )
& ( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
=> ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) )
& relstr_set_smaller(X0,X2,X1) ) ) ) ) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) )
& relstr_set_smaller(X0,X2,X1) )
=> ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 ) )
& ( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
=> ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) )
& relstr_set_smaller(X0,X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.htCR8pdGq1/Vampire---4.8_20595',t30_yellow_0) ).
fof(f182,plain,
( relstr_set_smaller(sK2,sK4,sK3)
| ~ rel_str(sK2)
| ~ spl10_2
| ~ spl10_3 ),
inference(subsumption_resolution,[],[f181,f52]) ).
fof(f52,plain,
element(sK3,the_carrier(sK2)),
inference(cnf_transformation,[],[f30]) ).
fof(f181,plain,
( relstr_set_smaller(sK2,sK4,sK3)
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2)
| ~ spl10_2
| ~ spl10_3 ),
inference(subsumption_resolution,[],[f169,f82]) ).
fof(f82,plain,
( ex_sup_of_relstr_set(sK2,sK4)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f169,plain,
( relstr_set_smaller(sK2,sK4,sK3)
| ~ ex_sup_of_relstr_set(sK2,sK4)
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2)
| ~ spl10_2 ),
inference(superposition,[],[f71,f78]) ).
fof(f78,plain,
( sK3 = join_on_relstr(sK2,sK4)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f71,plain,
! [X0,X1] :
( relstr_set_smaller(X0,X1,join_on_relstr(X0,X1))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(equality_resolution,[],[f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X0,X1,X2)
| join_on_relstr(X0,X1) != X2
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ! [X1,X2] :
( ( ( join_on_relstr(X0,X1) = X2
| ( ~ related(X0,X2,sK5(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK5(X0,X1,X2))
& element(sK5(X0,X1,X2),the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) )
& ( ( ! [X4] :
( related(X0,X2,X4)
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f33,f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
=> ( ~ related(X0,X2,sK5(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK5(X0,X1,X2))
& element(sK5(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0] :
( ! [X1,X2] :
( ( ( join_on_relstr(X0,X1) = X2
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) )
& ( ( ! [X4] :
( related(X0,X2,X4)
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ! [X1,X2] :
( ( ( join_on_relstr(X0,X1) = X2
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) )
& ( ( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ! [X1,X2] :
( ( ( join_on_relstr(X0,X1) = X2
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) )
& ( ( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) )
| join_on_relstr(X0,X1) != X2 ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ! [X1,X2] :
( ( join_on_relstr(X0,X1) = X2
<=> ( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ! [X1,X2] :
( ( join_on_relstr(X0,X1) = X2
<=> ( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( element(X2,the_carrier(X0))
=> ( ex_sup_of_relstr_set(X0,X1)
=> ( join_on_relstr(X0,X1) = X2
<=> ( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X3)
=> related(X0,X2,X3) ) )
& relstr_set_smaller(X0,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.htCR8pdGq1/Vampire---4.8_20595',d9_yellow_0) ).
fof(f180,plain,
( spl10_4
| ~ spl10_2
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f179,f81,f77,f86]) ).
fof(f86,plain,
( spl10_4
<=> ! [X3] :
( related(sK2,sK3,X3)
| ~ element(X3,the_carrier(sK2))
| ~ relstr_set_smaller(sK2,sK4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f179,plain,
( ! [X0] :
( related(sK2,sK3,X0)
| ~ relstr_set_smaller(sK2,sK4,X0)
| ~ element(X0,the_carrier(sK2)) )
| ~ spl10_2
| ~ spl10_3 ),
inference(subsumption_resolution,[],[f178,f51]) ).
fof(f178,plain,
( ! [X0] :
( related(sK2,sK3,X0)
| ~ relstr_set_smaller(sK2,sK4,X0)
| ~ element(X0,the_carrier(sK2))
| ~ rel_str(sK2) )
| ~ spl10_2
| ~ spl10_3 ),
inference(subsumption_resolution,[],[f177,f52]) ).
fof(f177,plain,
( ! [X0] :
( related(sK2,sK3,X0)
| ~ relstr_set_smaller(sK2,sK4,X0)
| ~ element(X0,the_carrier(sK2))
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2) )
| ~ spl10_2
| ~ spl10_3 ),
inference(subsumption_resolution,[],[f170,f82]) ).
fof(f170,plain,
( ! [X0] :
( related(sK2,sK3,X0)
| ~ relstr_set_smaller(sK2,sK4,X0)
| ~ element(X0,the_carrier(sK2))
| ~ ex_sup_of_relstr_set(sK2,sK4)
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2) )
| ~ spl10_2 ),
inference(superposition,[],[f70,f78]) ).
fof(f70,plain,
! [X0,X1,X4] :
( related(X0,join_on_relstr(X0,X1),X4)
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(equality_resolution,[],[f57]) ).
fof(f57,plain,
! [X2,X0,X1,X4] :
( related(X0,X2,X4)
| ~ relstr_set_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0))
| join_on_relstr(X0,X1) != X2
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f157,plain,
( ~ spl10_1
| ~ spl10_5
| ~ spl10_4 ),
inference(avatar_split_clause,[],[f140,f86,f90,f73]) ).
fof(f73,plain,
( spl10_1
<=> sP0(sK3,sK2,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f140,plain,
( ~ relstr_set_smaller(sK2,sK4,sK3)
| ~ sP0(sK3,sK2,sK4)
| ~ spl10_4 ),
inference(duplicate_literal_removal,[],[f139]) ).
fof(f139,plain,
( ~ relstr_set_smaller(sK2,sK4,sK3)
| ~ sP0(sK3,sK2,sK4)
| ~ relstr_set_smaller(sK2,sK4,sK3)
| ~ sP0(sK3,sK2,sK4)
| ~ spl10_4 ),
inference(resolution,[],[f133,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X1,X2,sK1(X0,X1,X2))
| ~ relstr_set_smaller(X1,X2,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( ( ( ~ related(X1,X0,sK1(X0,X1,X2))
& relstr_set_smaller(X1,X2,sK1(X0,X1,X2))
& element(sK1(X0,X1,X2),the_carrier(X1)) )
| ~ relstr_set_smaller(X1,X2,X0) )
& ex_sup_of_relstr_set(X1,X2)
& join_on_relstr(X1,X2) = X0 )
| ~ sP0(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f24,f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X1,X0,X3)
& relstr_set_smaller(X1,X2,X3)
& element(X3,the_carrier(X1)) )
=> ( ~ related(X1,X0,sK1(X0,X1,X2))
& relstr_set_smaller(X1,X2,sK1(X0,X1,X2))
& element(sK1(X0,X1,X2),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( ( ? [X3] :
( ~ related(X1,X0,X3)
& relstr_set_smaller(X1,X2,X3)
& element(X3,the_carrier(X1)) )
| ~ relstr_set_smaller(X1,X2,X0) )
& ex_sup_of_relstr_set(X1,X2)
& join_on_relstr(X1,X2) = X0 )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X1,X0,X2] :
( ( ( ? [X4] :
( ~ related(X0,X1,X4)
& relstr_set_smaller(X0,X2,X4)
& element(X4,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X2,X1) )
& ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
| ~ sP0(X1,X0,X2) ),
inference(nnf_transformation,[],[f21]) ).
fof(f133,plain,
( ! [X0] :
( ~ relstr_set_smaller(sK2,sK4,sK1(sK3,sK2,X0))
| ~ relstr_set_smaller(sK2,X0,sK3)
| ~ sP0(sK3,sK2,X0) )
| ~ spl10_4 ),
inference(subsumption_resolution,[],[f130,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( element(sK1(X0,X1,X2),the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f130,plain,
( ! [X0] :
( ~ element(sK1(sK3,sK2,X0),the_carrier(sK2))
| ~ relstr_set_smaller(sK2,sK4,sK1(sK3,sK2,X0))
| ~ relstr_set_smaller(sK2,X0,sK3)
| ~ sP0(sK3,sK2,X0) )
| ~ spl10_4 ),
inference(resolution,[],[f87,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ related(X1,X0,sK1(X0,X1,X2))
| ~ relstr_set_smaller(X1,X2,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f87,plain,
( ! [X3] :
( related(sK2,sK3,X3)
| ~ element(X3,the_carrier(sK2))
| ~ relstr_set_smaller(sK2,sK4,X3) )
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f156,plain,
( spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5 ),
inference(avatar_contradiction_clause,[],[f155]) ).
fof(f155,plain,
( $false
| spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f154,f51]) ).
fof(f154,plain,
( ~ rel_str(sK2)
| spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f153,f52]) ).
fof(f153,plain,
( ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2)
| spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f152,f82]) ).
fof(f152,plain,
( ~ ex_sup_of_relstr_set(sK2,sK4)
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2)
| spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f151,f92]) ).
fof(f92,plain,
( relstr_set_smaller(sK2,sK4,sK3)
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f151,plain,
( ~ relstr_set_smaller(sK2,sK4,sK3)
| ~ ex_sup_of_relstr_set(sK2,sK4)
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2)
| spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f150,f79]) ).
fof(f79,plain,
( sK3 != join_on_relstr(sK2,sK4)
| spl10_2 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f150,plain,
( sK3 = join_on_relstr(sK2,sK4)
| ~ relstr_set_smaller(sK2,sK4,sK3)
| ~ ex_sup_of_relstr_set(sK2,sK4)
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2)
| spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5 ),
inference(resolution,[],[f149,f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( element(sK5(X0,X1,X2),the_carrier(X0))
| join_on_relstr(X0,X1) = X2
| ~ relstr_set_smaller(X0,X1,X2)
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f149,plain,
( ~ element(sK5(sK2,sK4,sK3),the_carrier(sK2))
| spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f148,f51]) ).
fof(f148,plain,
( ~ element(sK5(sK2,sK4,sK3),the_carrier(sK2))
| ~ rel_str(sK2)
| spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f147,f52]) ).
fof(f147,plain,
( ~ element(sK5(sK2,sK4,sK3),the_carrier(sK2))
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2)
| spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f146,f82]) ).
fof(f146,plain,
( ~ element(sK5(sK2,sK4,sK3),the_carrier(sK2))
| ~ ex_sup_of_relstr_set(sK2,sK4)
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2)
| spl10_2
| ~ spl10_4
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f145,f92]) ).
fof(f145,plain,
( ~ element(sK5(sK2,sK4,sK3),the_carrier(sK2))
| ~ relstr_set_smaller(sK2,sK4,sK3)
| ~ ex_sup_of_relstr_set(sK2,sK4)
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2)
| spl10_2
| ~ spl10_4 ),
inference(subsumption_resolution,[],[f144,f79]) ).
fof(f144,plain,
( ~ element(sK5(sK2,sK4,sK3),the_carrier(sK2))
| sK3 = join_on_relstr(sK2,sK4)
| ~ relstr_set_smaller(sK2,sK4,sK3)
| ~ ex_sup_of_relstr_set(sK2,sK4)
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2)
| ~ spl10_4 ),
inference(duplicate_literal_removal,[],[f143]) ).
fof(f143,plain,
( ~ element(sK5(sK2,sK4,sK3),the_carrier(sK2))
| sK3 = join_on_relstr(sK2,sK4)
| ~ relstr_set_smaller(sK2,sK4,sK3)
| ~ ex_sup_of_relstr_set(sK2,sK4)
| sK3 = join_on_relstr(sK2,sK4)
| ~ relstr_set_smaller(sK2,sK4,sK3)
| ~ ex_sup_of_relstr_set(sK2,sK4)
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2)
| ~ spl10_4 ),
inference(resolution,[],[f135,f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X0,X1,sK5(X0,X1,X2))
| join_on_relstr(X0,X1) = X2
| ~ relstr_set_smaller(X0,X1,X2)
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f135,plain,
( ! [X0] :
( ~ relstr_set_smaller(sK2,sK4,sK5(sK2,X0,sK3))
| ~ element(sK5(sK2,X0,sK3),the_carrier(sK2))
| sK3 = join_on_relstr(sK2,X0)
| ~ relstr_set_smaller(sK2,X0,sK3)
| ~ ex_sup_of_relstr_set(sK2,X0) )
| ~ spl10_4 ),
inference(subsumption_resolution,[],[f134,f51]) ).
fof(f134,plain,
( ! [X0] :
( ~ element(sK5(sK2,X0,sK3),the_carrier(sK2))
| ~ relstr_set_smaller(sK2,sK4,sK5(sK2,X0,sK3))
| sK3 = join_on_relstr(sK2,X0)
| ~ relstr_set_smaller(sK2,X0,sK3)
| ~ ex_sup_of_relstr_set(sK2,X0)
| ~ rel_str(sK2) )
| ~ spl10_4 ),
inference(subsumption_resolution,[],[f131,f52]) ).
fof(f131,plain,
( ! [X0] :
( ~ element(sK5(sK2,X0,sK3),the_carrier(sK2))
| ~ relstr_set_smaller(sK2,sK4,sK5(sK2,X0,sK3))
| sK3 = join_on_relstr(sK2,X0)
| ~ relstr_set_smaller(sK2,X0,sK3)
| ~ ex_sup_of_relstr_set(sK2,X0)
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2) )
| ~ spl10_4 ),
inference(resolution,[],[f87,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ related(X0,X2,sK5(X0,X1,X2))
| join_on_relstr(X0,X1) = X2
| ~ relstr_set_smaller(X0,X1,X2)
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f129,plain,
( spl10_3
| ~ spl10_1 ),
inference(avatar_split_clause,[],[f126,f73,f81]) ).
fof(f126,plain,
( ex_sup_of_relstr_set(sK2,sK4)
| ~ spl10_1 ),
inference(resolution,[],[f75,f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| ex_sup_of_relstr_set(X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f75,plain,
( sP0(sK3,sK2,sK4)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f128,plain,
( ~ spl10_1
| spl10_2 ),
inference(avatar_contradiction_clause,[],[f127]) ).
fof(f127,plain,
( $false
| ~ spl10_1
| spl10_2 ),
inference(trivial_inequality_removal,[],[f125]) ).
fof(f125,plain,
( sK3 != sK3
| ~ spl10_1
| spl10_2 ),
inference(resolution,[],[f75,f94]) ).
fof(f94,plain,
( ! [X0] :
( ~ sP0(X0,sK2,sK4)
| sK3 != X0 )
| spl10_2 ),
inference(superposition,[],[f79,f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( join_on_relstr(X1,X2) = X0
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f124,plain,
( spl10_3
| ~ spl10_5
| spl10_6 ),
inference(avatar_split_clause,[],[f123,f115,f90,f81]) ).
fof(f115,plain,
( spl10_6
<=> element(sK8(sK2,sK4,sK3),the_carrier(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f123,plain,
( ex_sup_of_relstr_set(sK2,sK4)
| ~ spl10_5
| spl10_6 ),
inference(subsumption_resolution,[],[f122,f50]) ).
fof(f50,plain,
antisymmetric_relstr(sK2),
inference(cnf_transformation,[],[f30]) ).
fof(f122,plain,
( ex_sup_of_relstr_set(sK2,sK4)
| ~ antisymmetric_relstr(sK2)
| ~ spl10_5
| spl10_6 ),
inference(subsumption_resolution,[],[f121,f51]) ).
fof(f121,plain,
( ex_sup_of_relstr_set(sK2,sK4)
| ~ rel_str(sK2)
| ~ antisymmetric_relstr(sK2)
| ~ spl10_5
| spl10_6 ),
inference(subsumption_resolution,[],[f120,f52]) ).
fof(f120,plain,
( ex_sup_of_relstr_set(sK2,sK4)
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2)
| ~ antisymmetric_relstr(sK2)
| ~ spl10_5
| spl10_6 ),
inference(subsumption_resolution,[],[f119,f92]) ).
fof(f119,plain,
( ex_sup_of_relstr_set(sK2,sK4)
| ~ relstr_set_smaller(sK2,sK4,sK3)
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2)
| ~ antisymmetric_relstr(sK2)
| spl10_6 ),
inference(resolution,[],[f117,f67]) ).
fof(f67,plain,
! [X2,X0,X1] :
( element(sK8(X0,X1,X2),the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1)
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ( ~ related(X0,X2,sK8(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK8(X0,X1,X2))
& element(sK8(X0,X1,X2),the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ) )
& ( ( ! [X5] :
( related(X0,sK9(X0,X1),X5)
| ~ relstr_set_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,sK9(X0,X1))
& element(sK9(X0,X1),the_carrier(X0)) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f41,f43,f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
=> ( ~ related(X0,X2,sK8(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK8(X0,X1,X2))
& element(sK8(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X1] :
( ? [X4] :
( ! [X5] :
( related(X0,X4,X5)
| ~ relstr_set_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) )
=> ( ! [X5] :
( related(X0,sK9(X0,X1),X5)
| ~ relstr_set_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,sK9(X0,X1))
& element(sK9(X0,X1),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ) )
& ( ? [X4] :
( ! [X5] :
( related(X0,X4,X5)
| ~ relstr_set_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ) )
& ( ? [X2] :
( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X3)
=> related(X0,X2,X3) ) )
& relstr_set_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.htCR8pdGq1/Vampire---4.8_20595',t15_yellow_0) ).
fof(f117,plain,
( ~ element(sK8(sK2,sK4,sK3),the_carrier(sK2))
| spl10_6 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( spl10_3
| ~ spl10_6
| ~ spl10_4
| ~ spl10_5 ),
inference(avatar_split_clause,[],[f113,f90,f86,f115,f81]) ).
fof(f113,plain,
( ~ element(sK8(sK2,sK4,sK3),the_carrier(sK2))
| ex_sup_of_relstr_set(sK2,sK4)
| ~ spl10_4
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f112,f50]) ).
fof(f112,plain,
( ~ element(sK8(sK2,sK4,sK3),the_carrier(sK2))
| ex_sup_of_relstr_set(sK2,sK4)
| ~ antisymmetric_relstr(sK2)
| ~ spl10_4
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f111,f51]) ).
fof(f111,plain,
( ~ element(sK8(sK2,sK4,sK3),the_carrier(sK2))
| ex_sup_of_relstr_set(sK2,sK4)
| ~ rel_str(sK2)
| ~ antisymmetric_relstr(sK2)
| ~ spl10_4
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f110,f52]) ).
fof(f110,plain,
( ~ element(sK8(sK2,sK4,sK3),the_carrier(sK2))
| ex_sup_of_relstr_set(sK2,sK4)
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2)
| ~ antisymmetric_relstr(sK2)
| ~ spl10_4
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f109,f92]) ).
fof(f109,plain,
( ~ element(sK8(sK2,sK4,sK3),the_carrier(sK2))
| ex_sup_of_relstr_set(sK2,sK4)
| ~ relstr_set_smaller(sK2,sK4,sK3)
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2)
| ~ antisymmetric_relstr(sK2)
| ~ spl10_4 ),
inference(duplicate_literal_removal,[],[f108]) ).
fof(f108,plain,
( ~ element(sK8(sK2,sK4,sK3),the_carrier(sK2))
| ex_sup_of_relstr_set(sK2,sK4)
| ~ relstr_set_smaller(sK2,sK4,sK3)
| ex_sup_of_relstr_set(sK2,sK4)
| ~ relstr_set_smaller(sK2,sK4,sK3)
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2)
| ~ antisymmetric_relstr(sK2)
| ~ spl10_4 ),
inference(resolution,[],[f103,f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X0,X1,sK8(X0,X1,X2))
| ex_sup_of_relstr_set(X0,X1)
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f103,plain,
( ! [X0] :
( ~ relstr_set_smaller(sK2,sK4,sK8(sK2,X0,sK3))
| ~ element(sK8(sK2,X0,sK3),the_carrier(sK2))
| ex_sup_of_relstr_set(sK2,X0)
| ~ relstr_set_smaller(sK2,X0,sK3) )
| ~ spl10_4 ),
inference(subsumption_resolution,[],[f102,f50]) ).
fof(f102,plain,
( ! [X0] :
( ~ element(sK8(sK2,X0,sK3),the_carrier(sK2))
| ~ relstr_set_smaller(sK2,sK4,sK8(sK2,X0,sK3))
| ex_sup_of_relstr_set(sK2,X0)
| ~ relstr_set_smaller(sK2,X0,sK3)
| ~ antisymmetric_relstr(sK2) )
| ~ spl10_4 ),
inference(subsumption_resolution,[],[f101,f51]) ).
fof(f101,plain,
( ! [X0] :
( ~ element(sK8(sK2,X0,sK3),the_carrier(sK2))
| ~ relstr_set_smaller(sK2,sK4,sK8(sK2,X0,sK3))
| ex_sup_of_relstr_set(sK2,X0)
| ~ relstr_set_smaller(sK2,X0,sK3)
| ~ rel_str(sK2)
| ~ antisymmetric_relstr(sK2) )
| ~ spl10_4 ),
inference(subsumption_resolution,[],[f97,f52]) ).
fof(f97,plain,
( ! [X0] :
( ~ element(sK8(sK2,X0,sK3),the_carrier(sK2))
| ~ relstr_set_smaller(sK2,sK4,sK8(sK2,X0,sK3))
| ex_sup_of_relstr_set(sK2,X0)
| ~ relstr_set_smaller(sK2,X0,sK3)
| ~ element(sK3,the_carrier(sK2))
| ~ rel_str(sK2)
| ~ antisymmetric_relstr(sK2) )
| ~ spl10_4 ),
inference(resolution,[],[f87,f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ related(X0,X2,sK8(X0,X1,X2))
| ex_sup_of_relstr_set(X0,X1)
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f93,plain,
( spl10_1
| spl10_5 ),
inference(avatar_split_clause,[],[f53,f90,f73]) ).
fof(f53,plain,
( relstr_set_smaller(sK2,sK4,sK3)
| sP0(sK3,sK2,sK4) ),
inference(cnf_transformation,[],[f30]) ).
fof(f88,plain,
( spl10_1
| spl10_4 ),
inference(avatar_split_clause,[],[f54,f86,f73]) ).
fof(f54,plain,
! [X3] :
( related(sK2,sK3,X3)
| ~ relstr_set_smaller(sK2,sK4,X3)
| ~ element(X3,the_carrier(sK2))
| sP0(sK3,sK2,sK4) ),
inference(cnf_transformation,[],[f30]) ).
fof(f84,plain,
( spl10_1
| ~ spl10_2
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f55,f81,f77,f73]) ).
fof(f55,plain,
( ~ ex_sup_of_relstr_set(sK2,sK4)
| sK3 != join_on_relstr(sK2,sK4)
| sP0(sK3,sK2,sK4) ),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU359+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n020.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 11:10:16 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.htCR8pdGq1/Vampire---4.8_20595
% 0.56/0.76 % (20982)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)
% 0.56/0.76 % (20975)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)
% 0.56/0.76 % (20977)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76 % (20978)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)
% 0.56/0.76 % (20979)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)
% 0.56/0.76 % (20976)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)
% 0.56/0.76 % (20980)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)
% 0.56/0.76 % (20981)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)
% 0.62/0.77 % (20978)Refutation not found, incomplete strategy% (20978)------------------------------
% 0.62/0.77 % (20978)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77 % (20978)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.77
% 0.62/0.77 % (20978)Memory used [KB]: 1036
% 0.62/0.77 % (20978)Time elapsed: 0.005 s
% 0.62/0.77 % (20978)Instructions burned: 5 (million)
% 0.62/0.77 % (20975)Refutation not found, incomplete strategy% (20975)------------------------------
% 0.62/0.77 % (20975)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77 % (20975)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.77
% 0.62/0.77 % (20975)Memory used [KB]: 1066
% 0.62/0.77 % (20978)------------------------------
% 0.62/0.77 % (20978)------------------------------
% 0.62/0.77 % (20975)Time elapsed: 0.005 s
% 0.62/0.77 % (20975)Instructions burned: 6 (million)
% 0.62/0.77 % (20975)------------------------------
% 0.62/0.77 % (20975)------------------------------
% 0.62/0.77 % (20980)First to succeed.
% 0.62/0.77 % (20979)Refutation not found, incomplete strategy% (20979)------------------------------
% 0.62/0.77 % (20979)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77 % (20979)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.77
% 0.62/0.77 % (20979)Memory used [KB]: 1083
% 0.62/0.77 % (20979)Time elapsed: 0.006 s
% 0.62/0.77 % (20979)Instructions burned: 7 (million)
% 0.62/0.77 % (20976)Also succeeded, but the first one will report.
% 0.62/0.77 % (20979)------------------------------
% 0.62/0.77 % (20979)------------------------------
% 0.62/0.77 % (20977)Also succeeded, but the first one will report.
% 0.62/0.77 % (20980)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20833"
% 0.62/0.77 % (20981)Also succeeded, but the first one will report.
% 0.62/0.77 % (20980)Refutation found. Thanks to Tanya!
% 0.62/0.77 % SZS status Theorem for Vampire---4
% 0.62/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.77 % (20980)------------------------------
% 0.62/0.77 % (20980)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77 % (20980)Termination reason: Refutation
% 0.62/0.77
% 0.62/0.77 % (20980)Memory used [KB]: 1086
% 0.62/0.77 % (20980)Time elapsed: 0.008 s
% 0.62/0.77 % (20980)Instructions burned: 12 (million)
% 0.62/0.77 % (20833)Success in time 0.394 s
% 0.62/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------