TSTP Solution File: SEU359+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU359+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n006.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 : Wed Aug 31 18:29:13 EDT 2022
% Result : Theorem 0.17s 0.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 17
% Syntax : Number of formulae : 126 ( 4 unt; 0 def)
% Number of atoms : 750 ( 58 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 1041 ( 417 ~; 433 |; 139 &)
% ( 11 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 227 ( 190 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f235,plain,
$false,
inference(avatar_sat_refutation,[],[f86,f91,f95,f102,f147,f148,f154,f156,f206,f230]) ).
fof(f230,plain,
( spl10_5
| ~ spl10_2
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f229,f83,f79,f93]) ).
fof(f93,plain,
( spl10_5
<=> ! [X3] :
( ~ element(X3,the_carrier(sK4))
| ~ relstr_set_smaller(sK4,sK6,X3)
| related(sK4,sK5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f79,plain,
( spl10_2
<=> sK5 = join_on_relstr(sK4,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f83,plain,
( spl10_3
<=> ex_sup_of_relstr_set(sK4,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f229,plain,
( ! [X4] :
( related(sK4,sK5,X4)
| ~ relstr_set_smaller(sK4,sK6,X4)
| ~ element(X4,the_carrier(sK4)) )
| ~ spl10_2
| ~ spl10_3 ),
inference(subsumption_resolution,[],[f228,f63]) ).
fof(f63,plain,
rel_str(sK4),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( antisymmetric_relstr(sK4)
& rel_str(sK4)
& element(sK5,the_carrier(sK4))
& ( sP0(sK6,sK4,sK5)
| ( ( sK5 != join_on_relstr(sK4,sK6)
| ~ ex_sup_of_relstr_set(sK4,sK6) )
& ! [X3] :
( ~ relstr_set_smaller(sK4,sK6,X3)
| ~ element(X3,the_carrier(sK4))
| related(sK4,sK5,X3) )
& relstr_set_smaller(sK4,sK6,sK5) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f23,f38,f37,f36]) ).
fof(f36,plain,
( ? [X0] :
( antisymmetric_relstr(X0)
& rel_str(X0)
& ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( sP0(X2,X0,X1)
| ( ( join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2) )
& ! [X3] :
( ~ relstr_set_smaller(X0,X2,X3)
| ~ element(X3,the_carrier(X0))
| related(X0,X1,X3) )
& relstr_set_smaller(X0,X2,X1) ) ) ) )
=> ( antisymmetric_relstr(sK4)
& rel_str(sK4)
& ? [X1] :
( element(X1,the_carrier(sK4))
& ? [X2] :
( sP0(X2,sK4,X1)
| ( ( join_on_relstr(sK4,X2) != X1
| ~ ex_sup_of_relstr_set(sK4,X2) )
& ! [X3] :
( ~ relstr_set_smaller(sK4,X2,X3)
| ~ element(X3,the_carrier(sK4))
| related(sK4,X1,X3) )
& relstr_set_smaller(sK4,X2,X1) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
( ? [X1] :
( element(X1,the_carrier(sK4))
& ? [X2] :
( sP0(X2,sK4,X1)
| ( ( join_on_relstr(sK4,X2) != X1
| ~ ex_sup_of_relstr_set(sK4,X2) )
& ! [X3] :
( ~ relstr_set_smaller(sK4,X2,X3)
| ~ element(X3,the_carrier(sK4))
| related(sK4,X1,X3) )
& relstr_set_smaller(sK4,X2,X1) ) ) )
=> ( element(sK5,the_carrier(sK4))
& ? [X2] :
( sP0(X2,sK4,sK5)
| ( ( sK5 != join_on_relstr(sK4,X2)
| ~ ex_sup_of_relstr_set(sK4,X2) )
& ! [X3] :
( ~ relstr_set_smaller(sK4,X2,X3)
| ~ element(X3,the_carrier(sK4))
| related(sK4,sK5,X3) )
& relstr_set_smaller(sK4,X2,sK5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
( ? [X2] :
( sP0(X2,sK4,sK5)
| ( ( sK5 != join_on_relstr(sK4,X2)
| ~ ex_sup_of_relstr_set(sK4,X2) )
& ! [X3] :
( ~ relstr_set_smaller(sK4,X2,X3)
| ~ element(X3,the_carrier(sK4))
| related(sK4,sK5,X3) )
& relstr_set_smaller(sK4,X2,sK5) ) )
=> ( sP0(sK6,sK4,sK5)
| ( ( sK5 != join_on_relstr(sK4,sK6)
| ~ ex_sup_of_relstr_set(sK4,sK6) )
& ! [X3] :
( ~ relstr_set_smaller(sK4,sK6,X3)
| ~ element(X3,the_carrier(sK4))
| related(sK4,sK5,X3) )
& relstr_set_smaller(sK4,sK6,sK5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0] :
( antisymmetric_relstr(X0)
& rel_str(X0)
& ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( sP0(X2,X0,X1)
| ( ( join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2) )
& ! [X3] :
( ~ relstr_set_smaller(X0,X2,X3)
| ~ element(X3,the_carrier(X0))
| related(X0,X1,X3) )
& relstr_set_smaller(X0,X2,X1) ) ) ) ),
inference(definition_folding,[],[f19,f22]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1
& ( ~ relstr_set_smaller(X0,X2,X1)
| ? [X4] :
( relstr_set_smaller(X0,X2,X4)
& ~ related(X0,X1,X4)
& element(X4,the_carrier(X0)) ) ) )
| ~ sP0(X2,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f19,plain,
? [X0] :
( antisymmetric_relstr(X0)
& rel_str(X0)
& ? [X1] :
( element(X1,the_carrier(X0))
& ? [X2] :
( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1
& ( ~ relstr_set_smaller(X0,X2,X1)
| ? [X4] :
( relstr_set_smaller(X0,X2,X4)
& ~ related(X0,X1,X4)
& element(X4,the_carrier(X0)) ) ) )
| ( ( join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2) )
& ! [X3] :
( ~ relstr_set_smaller(X0,X2,X3)
| ~ element(X3,the_carrier(X0))
| related(X0,X1,X3) )
& relstr_set_smaller(X0,X2,X1) ) ) ) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
? [X0] :
( ? [X1] :
( ? [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 )
| ( ( join_on_relstr(X0,X2) != X1
| ~ ex_sup_of_relstr_set(X0,X2) )
& relstr_set_smaller(X0,X2,X1)
& ! [X3] :
( related(X0,X1,X3)
| ~ relstr_set_smaller(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) ) ) )
& 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] :
( ( ( 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) ) )
& ( ( relstr_set_smaller(X0,X2,X1)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) ) )
=> ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 ) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( ( relstr_set_smaller(X0,X2,X1)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) ) )
=> ( 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 )
=> ( relstr_set_smaller(X0,X2,X1)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( ( relstr_set_smaller(X0,X2,X1)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) ) )
=> ( 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 )
=> ( relstr_set_smaller(X0,X2,X1)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X2,X3)
=> related(X0,X1,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_yellow_0) ).
fof(f228,plain,
( ! [X4] :
( ~ rel_str(sK4)
| ~ element(X4,the_carrier(sK4))
| related(sK4,sK5,X4)
| ~ relstr_set_smaller(sK4,sK6,X4) )
| ~ spl10_2
| ~ spl10_3 ),
inference(subsumption_resolution,[],[f225,f84]) ).
fof(f84,plain,
( ex_sup_of_relstr_set(sK4,sK6)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f225,plain,
( ! [X4] :
( ~ relstr_set_smaller(sK4,sK6,X4)
| ~ element(X4,the_carrier(sK4))
| ~ ex_sup_of_relstr_set(sK4,sK6)
| related(sK4,sK5,X4)
| ~ rel_str(sK4) )
| ~ spl10_2 ),
inference(superposition,[],[f220,f80]) ).
fof(f80,plain,
( sK5 = join_on_relstr(sK4,sK6)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f220,plain,
! [X3,X0,X1] :
( related(X0,join_on_relstr(X0,X1),X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| ~ element(X3,the_carrier(X0)) ),
inference(subsumption_resolution,[],[f73,f47]) ).
fof(f47,plain,
! [X0,X1] :
( element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( element(join_on_relstr(X1,X0),the_carrier(X1))
| ~ rel_str(X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( rel_str(X1)
=> element(join_on_relstr(X1,X0),the_carrier(X1)) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( rel_str(X0)
=> element(join_on_relstr(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
fof(f73,plain,
! [X3,X0,X1] :
( ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X3,the_carrier(X0))
| related(X0,join_on_relstr(X0,X1),X3)
| ~ rel_str(X0)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(join_on_relstr(X0,X1),the_carrier(X0)) ),
inference(equality_resolution,[],[f51]) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,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,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ! [X1,X2] :
( ( ( ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) )
| join_on_relstr(X0,X1) != X2 )
& ( join_on_relstr(X0,X1) = X2
| ~ relstr_set_smaller(X0,X1,X2)
| ( ~ related(X0,X2,sK1(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK1(X0,X1,X2))
& element(sK1(X0,X1,X2),the_carrier(X0)) ) ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f27,f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ? [X4] :
( ~ related(X0,X2,X4)
& relstr_set_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) )
=> ( ~ related(X0,X2,sK1(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK1(X0,X1,X2))
& element(sK1(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0] :
( ! [X1,X2] :
( ( ( ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) )
| join_on_relstr(X0,X1) != X2 )
& ( join_on_relstr(X0,X1) = X2
| ~ relstr_set_smaller(X0,X1,X2)
| ? [X4] :
( ~ related(X0,X2,X4)
& relstr_set_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) ) ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ! [X1,X2] :
( ( ( ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) )
| join_on_relstr(X0,X1) != X2 )
& ( join_on_relstr(X0,X1) = X2
| ~ relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) ) ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X1,X2] :
( ( ( ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) )
| join_on_relstr(X0,X1) != X2 )
& ( join_on_relstr(X0,X1) = X2
| ~ relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) ) ) )
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,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(flattening,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ! [X1,X2] :
( ( join_on_relstr(X0,X1) = X2
<=> ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) ) )
| ~ 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
<=> ( relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X3)
=> related(X0,X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_yellow_0) ).
fof(f206,plain,
( spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5 ),
inference(avatar_contradiction_clause,[],[f205]) ).
fof(f205,plain,
( $false
| spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f204,f90]) ).
fof(f90,plain,
( relstr_set_smaller(sK4,sK6,sK5)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl10_4
<=> relstr_set_smaller(sK4,sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f204,plain,
( ~ relstr_set_smaller(sK4,sK6,sK5)
| spl10_2
| ~ spl10_3
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f203,f81]) ).
fof(f81,plain,
( sK5 != join_on_relstr(sK4,sK6)
| spl10_2 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f203,plain,
( sK5 = join_on_relstr(sK4,sK6)
| ~ relstr_set_smaller(sK4,sK6,sK5)
| ~ spl10_3
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f202,f62]) ).
fof(f62,plain,
element(sK5,the_carrier(sK4)),
inference(cnf_transformation,[],[f39]) ).
fof(f202,plain,
( ~ element(sK5,the_carrier(sK4))
| ~ relstr_set_smaller(sK4,sK6,sK5)
| sK5 = join_on_relstr(sK4,sK6)
| ~ spl10_3
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f201,f63]) ).
fof(f201,plain,
( ~ rel_str(sK4)
| ~ relstr_set_smaller(sK4,sK6,sK5)
| sK5 = join_on_relstr(sK4,sK6)
| ~ element(sK5,the_carrier(sK4))
| ~ spl10_3
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f197,f84]) ).
fof(f197,plain,
( ~ ex_sup_of_relstr_set(sK4,sK6)
| ~ rel_str(sK4)
| ~ element(sK5,the_carrier(sK4))
| ~ relstr_set_smaller(sK4,sK6,sK5)
| sK5 = join_on_relstr(sK4,sK6)
| ~ spl10_3
| ~ spl10_5 ),
inference(duplicate_literal_removal,[],[f195]) ).
fof(f195,plain,
( ~ ex_sup_of_relstr_set(sK4,sK6)
| ~ rel_str(sK4)
| sK5 = join_on_relstr(sK4,sK6)
| ~ relstr_set_smaller(sK4,sK6,sK5)
| sK5 = join_on_relstr(sK4,sK6)
| ~ element(sK5,the_carrier(sK4))
| ~ relstr_set_smaller(sK4,sK6,sK5)
| ~ element(sK5,the_carrier(sK4))
| ~ spl10_3
| ~ spl10_5 ),
inference(resolution,[],[f50,f194]) ).
fof(f194,plain,
( ! [X0] :
( related(sK4,sK5,sK1(sK4,sK6,X0))
| ~ relstr_set_smaller(sK4,sK6,X0)
| ~ element(X0,the_carrier(sK4))
| join_on_relstr(sK4,sK6) = X0 )
| ~ spl10_3
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f193,f63]) ).
fof(f193,plain,
( ! [X0] :
( ~ rel_str(sK4)
| join_on_relstr(sK4,sK6) = X0
| ~ relstr_set_smaller(sK4,sK6,X0)
| ~ element(X0,the_carrier(sK4))
| related(sK4,sK5,sK1(sK4,sK6,X0)) )
| ~ spl10_3
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f192,f84]) ).
fof(f192,plain,
( ! [X0] :
( join_on_relstr(sK4,sK6) = X0
| ~ ex_sup_of_relstr_set(sK4,sK6)
| related(sK4,sK5,sK1(sK4,sK6,X0))
| ~ element(X0,the_carrier(sK4))
| ~ relstr_set_smaller(sK4,sK6,X0)
| ~ rel_str(sK4) )
| ~ spl10_3
| ~ spl10_5 ),
inference(duplicate_literal_removal,[],[f191]) ).
fof(f191,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK4))
| related(sK4,sK5,sK1(sK4,sK6,X0))
| ~ rel_str(sK4)
| join_on_relstr(sK4,sK6) = X0
| join_on_relstr(sK4,sK6) = X0
| ~ element(X0,the_carrier(sK4))
| ~ relstr_set_smaller(sK4,sK6,X0)
| ~ ex_sup_of_relstr_set(sK4,sK6)
| ~ relstr_set_smaller(sK4,sK6,X0) )
| ~ spl10_3
| ~ spl10_5 ),
inference(resolution,[],[f190,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( element(sK1(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ relstr_set_smaller(X0,X1,X2)
| join_on_relstr(X0,X1) = X2 ),
inference(cnf_transformation,[],[f29]) ).
fof(f190,plain,
( ! [X0] :
( ~ element(sK1(sK4,sK6,X0),the_carrier(sK4))
| ~ element(X0,the_carrier(sK4))
| ~ relstr_set_smaller(sK4,sK6,X0)
| related(sK4,sK5,sK1(sK4,sK6,X0))
| join_on_relstr(sK4,sK6) = X0 )
| ~ spl10_3
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f189,f63]) ).
fof(f189,plain,
( ! [X0] :
( join_on_relstr(sK4,sK6) = X0
| ~ element(sK1(sK4,sK6,X0),the_carrier(sK4))
| ~ element(X0,the_carrier(sK4))
| ~ relstr_set_smaller(sK4,sK6,X0)
| related(sK4,sK5,sK1(sK4,sK6,X0))
| ~ rel_str(sK4) )
| ~ spl10_3
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f188,f84]) ).
fof(f188,plain,
( ! [X0] :
( ~ element(sK1(sK4,sK6,X0),the_carrier(sK4))
| related(sK4,sK5,sK1(sK4,sK6,X0))
| ~ relstr_set_smaller(sK4,sK6,X0)
| ~ ex_sup_of_relstr_set(sK4,sK6)
| ~ element(X0,the_carrier(sK4))
| join_on_relstr(sK4,sK6) = X0
| ~ rel_str(sK4) )
| ~ spl10_5 ),
inference(resolution,[],[f49,f94]) ).
fof(f94,plain,
( ! [X3] :
( ~ relstr_set_smaller(sK4,sK6,X3)
| related(sK4,sK5,X3)
| ~ element(X3,the_carrier(sK4)) )
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f49,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X0,X1,sK1(X0,X1,X2))
| join_on_relstr(X0,X1) = X2
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ related(X0,X2,sK1(X0,X1,X2))
| ~ rel_str(X0)
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| join_on_relstr(X0,X1) = X2 ),
inference(cnf_transformation,[],[f29]) ).
fof(f156,plain,
( spl10_4
| ~ spl10_1 ),
inference(avatar_split_clause,[],[f155,f75,f88]) ).
fof(f75,plain,
( spl10_1
<=> sP0(sK6,sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f155,plain,
( relstr_set_smaller(sK4,sK6,sK5)
| ~ spl10_1 ),
inference(subsumption_resolution,[],[f149,f63]) ).
fof(f149,plain,
( relstr_set_smaller(sK4,sK6,sK5)
| ~ rel_str(sK4)
| ~ spl10_1 ),
inference(resolution,[],[f77,f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ sP0(X1,X0,X2)
| relstr_set_smaller(X0,X1,X2)
| ~ rel_str(X0) ),
inference(subsumption_resolution,[],[f121,f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| ex_sup_of_relstr_set(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( ex_sup_of_relstr_set(X1,X0)
& join_on_relstr(X1,X0) = X2
& ( ~ relstr_set_smaller(X1,X0,X2)
| ( relstr_set_smaller(X1,X0,sK3(X0,X1,X2))
& ~ related(X1,X2,sK3(X0,X1,X2))
& element(sK3(X0,X1,X2),the_carrier(X1)) ) ) )
| ~ sP0(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f33,f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ? [X3] :
( relstr_set_smaller(X1,X0,X3)
& ~ related(X1,X2,X3)
& element(X3,the_carrier(X1)) )
=> ( relstr_set_smaller(X1,X0,sK3(X0,X1,X2))
& ~ related(X1,X2,sK3(X0,X1,X2))
& element(sK3(X0,X1,X2),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( ex_sup_of_relstr_set(X1,X0)
& join_on_relstr(X1,X0) = X2
& ( ~ relstr_set_smaller(X1,X0,X2)
| ? [X3] :
( relstr_set_smaller(X1,X0,X3)
& ~ related(X1,X2,X3)
& element(X3,the_carrier(X1)) ) ) )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ( ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1
& ( ~ relstr_set_smaller(X0,X2,X1)
| ? [X4] :
( relstr_set_smaller(X0,X2,X4)
& ~ related(X0,X1,X4)
& element(X4,the_carrier(X0)) ) ) )
| ~ sP0(X2,X0,X1) ),
inference(nnf_transformation,[],[f22]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ sP0(X1,X0,X2)
| relstr_set_smaller(X0,X1,X2)
| ~ rel_str(X0)
| ~ ex_sup_of_relstr_set(X0,X1) ),
inference(superposition,[],[f119,f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( join_on_relstr(X1,X0) = X2
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f119,plain,
! [X0,X1] :
( relstr_set_smaller(X0,X1,join_on_relstr(X0,X1))
| ~ rel_str(X0)
| ~ ex_sup_of_relstr_set(X0,X1) ),
inference(subsumption_resolution,[],[f72,f47]) ).
fof(f72,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,[],[f52]) ).
fof(f52,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,[],[f29]) ).
fof(f77,plain,
( sP0(sK6,sK4,sK5)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f154,plain,
( ~ spl10_1
| spl10_3 ),
inference(avatar_contradiction_clause,[],[f153]) ).
fof(f153,plain,
( $false
| ~ spl10_1
| spl10_3 ),
inference(subsumption_resolution,[],[f152,f85]) ).
fof(f85,plain,
( ~ ex_sup_of_relstr_set(sK4,sK6)
| spl10_3 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f152,plain,
( ex_sup_of_relstr_set(sK4,sK6)
| ~ spl10_1 ),
inference(resolution,[],[f77,f58]) ).
fof(f148,plain,
( ~ spl10_4
| ~ spl10_1
| ~ spl10_5 ),
inference(avatar_split_clause,[],[f118,f93,f75,f88]) ).
fof(f118,plain,
( ~ sP0(sK6,sK4,sK5)
| ~ relstr_set_smaller(sK4,sK6,sK5)
| ~ spl10_5 ),
inference(duplicate_literal_removal,[],[f117]) ).
fof(f117,plain,
( ~ relstr_set_smaller(sK4,sK6,sK5)
| ~ sP0(sK6,sK4,sK5)
| ~ relstr_set_smaller(sK4,sK6,sK5)
| ~ sP0(sK6,sK4,sK5)
| ~ spl10_5 ),
inference(resolution,[],[f116,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ related(X1,X2,sK3(X0,X1,X2))
| ~ sP0(X0,X1,X2)
| ~ relstr_set_smaller(X1,X0,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f116,plain,
( ! [X0] :
( related(sK4,sK5,sK3(sK6,sK4,X0))
| ~ relstr_set_smaller(sK4,sK6,X0)
| ~ sP0(sK6,sK4,X0) )
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f115,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( element(sK3(X0,X1,X2),the_carrier(X1))
| ~ relstr_set_smaller(X1,X0,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f115,plain,
( ! [X0] :
( ~ element(sK3(sK6,sK4,X0),the_carrier(sK4))
| ~ sP0(sK6,sK4,X0)
| related(sK4,sK5,sK3(sK6,sK4,X0))
| ~ relstr_set_smaller(sK4,sK6,X0) )
| ~ spl10_5 ),
inference(resolution,[],[f56,f94]) ).
fof(f56,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X1,X0,sK3(X0,X1,X2))
| ~ sP0(X0,X1,X2)
| ~ relstr_set_smaller(X1,X0,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f147,plain,
( ~ spl10_4
| spl10_3
| ~ spl10_5 ),
inference(avatar_split_clause,[],[f146,f93,f83,f88]) ).
fof(f146,plain,
( ~ relstr_set_smaller(sK4,sK6,sK5)
| spl10_3
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f145,f63]) ).
fof(f145,plain,
( ~ relstr_set_smaller(sK4,sK6,sK5)
| ~ rel_str(sK4)
| spl10_3
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f140,f85]) ).
fof(f140,plain,
( ex_sup_of_relstr_set(sK4,sK6)
| ~ rel_str(sK4)
| ~ relstr_set_smaller(sK4,sK6,sK5)
| spl10_3
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f139,f62]) ).
fof(f139,plain,
( ~ element(sK5,the_carrier(sK4))
| ex_sup_of_relstr_set(sK4,sK6)
| ~ relstr_set_smaller(sK4,sK6,sK5)
| ~ rel_str(sK4)
| spl10_3
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f138,f64]) ).
fof(f64,plain,
antisymmetric_relstr(sK4),
inference(cnf_transformation,[],[f39]) ).
fof(f138,plain,
( ~ antisymmetric_relstr(sK4)
| ~ relstr_set_smaller(sK4,sK6,sK5)
| ex_sup_of_relstr_set(sK4,sK6)
| ~ element(sK5,the_carrier(sK4))
| ~ rel_str(sK4)
| spl10_3
| ~ spl10_5 ),
inference(duplicate_literal_removal,[],[f137]) ).
fof(f137,plain,
( ~ antisymmetric_relstr(sK4)
| ex_sup_of_relstr_set(sK4,sK6)
| ~ relstr_set_smaller(sK4,sK6,sK5)
| ~ rel_str(sK4)
| ~ relstr_set_smaller(sK4,sK6,sK5)
| ~ element(sK5,the_carrier(sK4))
| ~ element(sK5,the_carrier(sK4))
| spl10_3
| ~ spl10_5 ),
inference(resolution,[],[f136,f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ related(X0,X2,sK7(X0,X1,X2))
| ~ antisymmetric_relstr(X0)
| ~ relstr_set_smaller(X0,X1,X2)
| ~ rel_str(X0)
| ~ element(X2,the_carrier(X0))
| ex_sup_of_relstr_set(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ( element(sK7(X0,X1,X2),the_carrier(X0))
& ~ related(X0,X2,sK7(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK7(X0,X1,X2)) ) ) )
& ( ( element(sK8(X0,X1),the_carrier(X0))
& relstr_set_smaller(X0,X1,sK8(X0,X1))
& ! [X5] :
( ~ element(X5,the_carrier(X0))
| related(X0,sK8(X0,X1),X5)
| ~ relstr_set_smaller(X0,X1,X5) ) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f41,f43,f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ? [X3] :
( element(X3,the_carrier(X0))
& ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3) )
=> ( element(sK7(X0,X1,X2),the_carrier(X0))
& ~ related(X0,X2,sK7(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK7(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X1] :
( ? [X4] :
( element(X4,the_carrier(X0))
& relstr_set_smaller(X0,X1,X4)
& ! [X5] :
( ~ element(X5,the_carrier(X0))
| related(X0,X4,X5)
| ~ relstr_set_smaller(X0,X1,X5) ) )
=> ( element(sK8(X0,X1),the_carrier(X0))
& relstr_set_smaller(X0,X1,sK8(X0,X1))
& ! [X5] :
( ~ element(X5,the_carrier(X0))
| related(X0,sK8(X0,X1),X5)
| ~ relstr_set_smaller(X0,X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( element(X3,the_carrier(X0))
& ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3) ) ) )
& ( ? [X4] :
( element(X4,the_carrier(X0))
& relstr_set_smaller(X0,X1,X4)
& ! [X5] :
( ~ element(X5,the_carrier(X0))
| related(X0,X4,X5)
| ~ relstr_set_smaller(X0,X1,X5) ) )
| ~ 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] :
( ~ element(X2,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( element(X3,the_carrier(X0))
& ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3) ) ) )
& ( ? [X2] :
( element(X2,the_carrier(X0))
& relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( ~ element(X3,the_carrier(X0))
| related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3) ) )
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> ? [X2] :
( element(X2,the_carrier(X0))
& relstr_set_smaller(X0,X1,X2)
& ! [X3] :
( ~ element(X3,the_carrier(X0))
| related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3) ) ) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [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)) )
<=> ex_sup_of_relstr_set(X0,X1) )
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ( antisymmetric_relstr(X0)
& rel_str(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)) )
<=> ex_sup_of_relstr_set(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_yellow_0) ).
fof(f136,plain,
( ! [X0] :
( related(sK4,sK5,sK7(sK4,sK6,X0))
| ~ element(X0,the_carrier(sK4))
| ~ relstr_set_smaller(sK4,sK6,X0) )
| spl10_3
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f135,f64]) ).
fof(f135,plain,
( ! [X0] :
( ~ antisymmetric_relstr(sK4)
| related(sK4,sK5,sK7(sK4,sK6,X0))
| ~ relstr_set_smaller(sK4,sK6,X0)
| ~ element(X0,the_carrier(sK4)) )
| spl10_3
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f134,f63]) ).
fof(f134,plain,
( ! [X0] :
( ~ rel_str(sK4)
| ~ relstr_set_smaller(sK4,sK6,X0)
| ~ element(X0,the_carrier(sK4))
| related(sK4,sK5,sK7(sK4,sK6,X0))
| ~ antisymmetric_relstr(sK4) )
| spl10_3
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f133,f85]) ).
fof(f133,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK4))
| related(sK4,sK5,sK7(sK4,sK6,X0))
| ~ relstr_set_smaller(sK4,sK6,X0)
| ex_sup_of_relstr_set(sK4,sK6)
| ~ antisymmetric_relstr(sK4)
| ~ rel_str(sK4) )
| spl10_3
| ~ spl10_5 ),
inference(duplicate_literal_removal,[],[f132]) ).
fof(f132,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK4))
| ~ relstr_set_smaller(sK4,sK6,X0)
| ~ antisymmetric_relstr(sK4)
| ~ relstr_set_smaller(sK4,sK6,X0)
| ex_sup_of_relstr_set(sK4,sK6)
| related(sK4,sK5,sK7(sK4,sK6,X0))
| ~ element(X0,the_carrier(sK4))
| ~ rel_str(sK4) )
| spl10_3
| ~ spl10_5 ),
inference(resolution,[],[f70,f128]) ).
fof(f128,plain,
( ! [X0] :
( ~ element(sK7(sK4,sK6,X0),the_carrier(sK4))
| related(sK4,sK5,sK7(sK4,sK6,X0))
| ~ relstr_set_smaller(sK4,sK6,X0)
| ~ element(X0,the_carrier(sK4)) )
| spl10_3
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f127,f64]) ).
fof(f127,plain,
( ! [X0] :
( ~ antisymmetric_relstr(sK4)
| related(sK4,sK5,sK7(sK4,sK6,X0))
| ~ element(sK7(sK4,sK6,X0),the_carrier(sK4))
| ~ element(X0,the_carrier(sK4))
| ~ relstr_set_smaller(sK4,sK6,X0) )
| spl10_3
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f126,f63]) ).
fof(f126,plain,
( ! [X0] :
( ~ element(sK7(sK4,sK6,X0),the_carrier(sK4))
| ~ rel_str(sK4)
| ~ relstr_set_smaller(sK4,sK6,X0)
| ~ element(X0,the_carrier(sK4))
| related(sK4,sK5,sK7(sK4,sK6,X0))
| ~ antisymmetric_relstr(sK4) )
| spl10_3
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f125,f85]) ).
fof(f125,plain,
( ! [X0] :
( related(sK4,sK5,sK7(sK4,sK6,X0))
| ex_sup_of_relstr_set(sK4,sK6)
| ~ rel_str(sK4)
| ~ element(sK7(sK4,sK6,X0),the_carrier(sK4))
| ~ relstr_set_smaller(sK4,sK6,X0)
| ~ antisymmetric_relstr(sK4)
| ~ element(X0,the_carrier(sK4)) )
| ~ spl10_5 ),
inference(resolution,[],[f68,f94]) ).
fof(f68,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X0,X1,sK7(X0,X1,X2))
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| ~ relstr_set_smaller(X0,X1,X2)
| ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f70,plain,
! [X2,X0,X1] :
( element(sK7(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| ~ relstr_set_smaller(X0,X1,X2)
| ex_sup_of_relstr_set(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f102,plain,
( ~ spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f101,f79,f75]) ).
fof(f101,plain,
( ~ sP0(sK6,sK4,sK5)
| spl10_2 ),
inference(equality_resolution,[],[f99]) ).
fof(f99,plain,
( ! [X0] :
( sK5 != X0
| ~ sP0(sK6,sK4,X0) )
| spl10_2 ),
inference(superposition,[],[f81,f57]) ).
fof(f95,plain,
( spl10_1
| spl10_5 ),
inference(avatar_split_clause,[],[f60,f93,f75]) ).
fof(f60,plain,
! [X3] :
( ~ element(X3,the_carrier(sK4))
| sP0(sK6,sK4,sK5)
| related(sK4,sK5,X3)
| ~ relstr_set_smaller(sK4,sK6,X3) ),
inference(cnf_transformation,[],[f39]) ).
fof(f91,plain,
( spl10_4
| spl10_1 ),
inference(avatar_split_clause,[],[f59,f75,f88]) ).
fof(f59,plain,
( sP0(sK6,sK4,sK5)
| relstr_set_smaller(sK4,sK6,sK5) ),
inference(cnf_transformation,[],[f39]) ).
fof(f86,plain,
( spl10_1
| ~ spl10_2
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f61,f83,f79,f75]) ).
fof(f61,plain,
( ~ ex_sup_of_relstr_set(sK4,sK6)
| sK5 != join_on_relstr(sK4,sK6)
| sP0(sK6,sK4,sK5) ),
inference(cnf_transformation,[],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU359+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.32 % Computer : n006.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Aug 30 15:17:54 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.48 % (8891)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.17/0.48 % (8903)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.49 % (8891)First to succeed.
% 0.17/0.49 % (8899)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.17/0.49 % (8903)Instruction limit reached!
% 0.17/0.49 % (8903)------------------------------
% 0.17/0.49 % (8903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (8903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (8903)Termination reason: Unknown
% 0.17/0.49 % (8903)Termination phase: Preprocessing 2
% 0.17/0.49
% 0.17/0.49 % (8903)Memory used [KB]: 1407
% 0.17/0.49 % (8903)Time elapsed: 0.004 s
% 0.17/0.49 % (8903)Instructions burned: 2 (million)
% 0.17/0.49 % (8903)------------------------------
% 0.17/0.49 % (8903)------------------------------
% 0.17/0.49 % (8899)Instruction limit reached!
% 0.17/0.49 % (8899)------------------------------
% 0.17/0.49 % (8899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (8899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (8899)Termination reason: Unknown
% 0.17/0.49 % (8899)Termination phase: Saturation
% 0.17/0.49
% 0.17/0.49 % (8899)Memory used [KB]: 5884
% 0.17/0.49 % (8899)Time elapsed: 0.004 s
% 0.17/0.49 % (8899)Instructions burned: 3 (million)
% 0.17/0.49 % (8899)------------------------------
% 0.17/0.49 % (8899)------------------------------
% 0.17/0.50 % (8891)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Theorem for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (8891)------------------------------
% 0.17/0.50 % (8891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (8891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (8891)Termination reason: Refutation
% 0.17/0.50
% 0.17/0.50 % (8891)Memory used [KB]: 6012
% 0.17/0.50 % (8891)Time elapsed: 0.117 s
% 0.17/0.50 % (8891)Instructions burned: 7 (million)
% 0.17/0.50 % (8891)------------------------------
% 0.17/0.50 % (8891)------------------------------
% 0.17/0.50 % (8881)Success in time 0.167 s
%------------------------------------------------------------------------------