TSTP Solution File: SEU359+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU359+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 09:36:31 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 27
% Syntax : Number of formulae : 215 ( 10 unt; 0 def)
% Number of atoms : 945 ( 46 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 1219 ( 489 ~; 529 |; 143 &)
% ( 16 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 7 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 327 ( 285 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f246,plain,
$false,
inference(avatar_sat_refutation,[],[f100,f112,f126,f173,f181,f187,f189,f194,f226,f229,f233,f235,f243,f245]) ).
fof(f245,plain,
( spl15_1
| ~ spl15_2
| spl15_3
| ~ spl15_4 ),
inference(avatar_contradiction_clause,[],[f244]) ).
fof(f244,plain,
( $false
| spl15_1
| ~ spl15_2
| spl15_3
| ~ spl15_4 ),
inference(global_subsumption,[],[f70,f65,f66,f90,f67,f88,f87,f68,f60,f61,f73,f79,f80,f89,f59,f81,f82,f103,f91,f113,f72,f117,f78,f133,f134,f131,f135,f132,f137,f136,f138,f62,f140,f130,f141,f63,f143,f64,f75,f147,f76,f149,f77,f74,f155,f83,f159,f160,f84,f161,f85,f86,f174,f175,f69,f110,f236,f237,f107,f94,f99,f116,f146,f152,f241,f239]) ).
fof(f239,plain,
( ! [X0] :
( ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,the_carrier(sK7))
| related(sK7,sK8,X0) )
| spl15_1
| ~ spl15_2 ),
inference(resolution,[],[f152,f74]) ).
fof(f241,plain,
( sK8 = join_on_relstr(sK7,sK9)
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f238,f110]) ).
fof(f238,plain,
( ~ ex_sup_of_relstr_set(sK7,sK9)
| sK8 = join_on_relstr(sK7,sK9)
| spl15_1
| ~ spl15_2 ),
inference(resolution,[],[f152,f134]) ).
fof(f152,plain,
( sP2(sK8,sK7,sK9)
| spl15_1
| ~ spl15_2 ),
inference(subsumption_resolution,[],[f151,f99]) ).
fof(f151,plain,
( sP2(sK8,sK7,sK9)
| ~ relstr_set_smaller(sK7,sK9,sK8)
| spl15_1 ),
inference(duplicate_literal_removal,[],[f150]) ).
fof(f150,plain,
( sP2(sK8,sK7,sK9)
| ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ relstr_set_smaller(sK7,sK9,sK8)
| sP2(sK8,sK7,sK9)
| spl15_1 ),
inference(resolution,[],[f77,f149]) ).
fof(f146,plain,
( ~ sP0(sK8,sK7,sK9)
| spl15_1
| ~ spl15_2 ),
inference(subsumption_resolution,[],[f145,f99]) ).
fof(f145,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ sP0(sK8,sK7,sK9)
| spl15_1 ),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f144,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ sP0(sK8,sK7,sK9)
| ~ sP0(sK8,sK7,sK9)
| ~ relstr_set_smaller(sK7,sK9,sK8)
| spl15_1 ),
inference(resolution,[],[f64,f143]) ).
fof(f116,plain,
( related(sK7,sK8,sK8)
| spl15_1
| ~ spl15_2 ),
inference(subsumption_resolution,[],[f114,f67]) ).
fof(f114,plain,
( related(sK7,sK8,sK8)
| ~ element(sK8,the_carrier(sK7))
| spl15_1
| ~ spl15_2 ),
inference(resolution,[],[f113,f99]) ).
fof(f99,plain,
( relstr_set_smaller(sK7,sK9,sK8)
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl15_2
<=> relstr_set_smaller(sK7,sK9,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f94,plain,
( ~ sP1(sK9,sK7,sK8)
| spl15_1 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl15_1
<=> sP1(sK9,sK7,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f107,plain,
( sK8 != join_on_relstr(sK7,sK9)
| spl15_3 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl15_3
<=> sK8 = join_on_relstr(sK7,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f237,plain,
( sK8 != join_on_relstr(sK7,sK9)
| spl15_3
| ~ spl15_4 ),
inference(global_subsumption,[],[f236,f70,f65,f66,f90,f67,f88,f87,f68,f60,f61,f73,f79,f80,f89,f59,f81,f82,f107,f91,f72,f78,f133,f134,f131,f135,f132,f137,f136,f138,f62,f140,f130,f141,f63,f64,f75,f147,f76,f77,f74,f155,f83,f159,f160,f84,f161,f85,f86,f174,f69]) ).
fof(f236,plain,
( sK8 != join_on_relstr(sK7,sK9)
| sP1(sK9,sK7,sK8)
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f70,f110]) ).
fof(f110,plain,
( ex_sup_of_relstr_set(sK7,sK9)
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl15_4
<=> ex_sup_of_relstr_set(sK7,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f69,plain,
! [X3] :
( related(sK7,sK8,X3)
| ~ relstr_set_smaller(sK7,sK9,X3)
| ~ element(X3,the_carrier(sK7))
| sP1(sK9,sK7,sK8) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( ( ( ~ ex_sup_of_relstr_set(sK7,sK9)
| sK8 != join_on_relstr(sK7,sK9) )
& ! [X3] :
( related(sK7,sK8,X3)
| ~ relstr_set_smaller(sK7,sK9,X3)
| ~ element(X3,the_carrier(sK7)) )
& relstr_set_smaller(sK7,sK9,sK8) )
| sP1(sK9,sK7,sK8) )
& element(sK8,the_carrier(sK7))
& rel_str(sK7)
& antisymmetric_relstr(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f25,f40,f39,f38]) ).
fof(f38,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) )
| sP1(X2,X0,X1) )
& element(X1,the_carrier(X0)) )
& rel_str(X0)
& antisymmetric_relstr(X0) )
=> ( ? [X1] :
( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(sK7,X2)
| join_on_relstr(sK7,X2) != X1 )
& ! [X3] :
( related(sK7,X1,X3)
| ~ relstr_set_smaller(sK7,X2,X3)
| ~ element(X3,the_carrier(sK7)) )
& relstr_set_smaller(sK7,X2,X1) )
| sP1(X2,sK7,X1) )
& element(X1,the_carrier(sK7)) )
& rel_str(sK7)
& antisymmetric_relstr(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
( ? [X1] :
( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(sK7,X2)
| join_on_relstr(sK7,X2) != X1 )
& ! [X3] :
( related(sK7,X1,X3)
| ~ relstr_set_smaller(sK7,X2,X3)
| ~ element(X3,the_carrier(sK7)) )
& relstr_set_smaller(sK7,X2,X1) )
| sP1(X2,sK7,X1) )
& element(X1,the_carrier(sK7)) )
=> ( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(sK7,X2)
| join_on_relstr(sK7,X2) != sK8 )
& ! [X3] :
( related(sK7,sK8,X3)
| ~ relstr_set_smaller(sK7,X2,X3)
| ~ element(X3,the_carrier(sK7)) )
& relstr_set_smaller(sK7,X2,sK8) )
| sP1(X2,sK7,sK8) )
& element(sK8,the_carrier(sK7)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
( ? [X2] :
( ( ( ~ ex_sup_of_relstr_set(sK7,X2)
| join_on_relstr(sK7,X2) != sK8 )
& ! [X3] :
( related(sK7,sK8,X3)
| ~ relstr_set_smaller(sK7,X2,X3)
| ~ element(X3,the_carrier(sK7)) )
& relstr_set_smaller(sK7,X2,sK8) )
| sP1(X2,sK7,sK8) )
=> ( ( ( ~ ex_sup_of_relstr_set(sK7,sK9)
| sK8 != join_on_relstr(sK7,sK9) )
& ! [X3] :
( related(sK7,sK8,X3)
| ~ relstr_set_smaller(sK7,sK9,X3)
| ~ element(X3,the_carrier(sK7)) )
& relstr_set_smaller(sK7,sK9,sK8) )
| sP1(sK9,sK7,sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f25,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) )
| sP1(X2,X0,X1) )
& element(X1,the_carrier(X0)) )
& rel_str(X0)
& antisymmetric_relstr(X0) ),
inference(definition_folding,[],[f17,f24,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)
| ~ sP0(X1,X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ( sP0(X1,X0,X2)
& ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
| ~ sP1(X2,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f17,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,[],[f16]) ).
fof(f16,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/benchmark/theBenchmark.p',t30_yellow_0) ).
fof(f175,plain,
( ! [X0] :
( sP4(sK7,sK9)
| ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,the_carrier(sK7))
| related(sK7,sK8,sK11(sK7,sK9,X0)) )
| spl15_1 ),
inference(subsumption_resolution,[],[f162,f84]) ).
fof(f162,plain,
( ! [X0] :
( sP4(sK7,sK9)
| ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,the_carrier(sK7))
| related(sK7,sK8,sK11(sK7,sK9,X0))
| ~ element(sK11(sK7,sK9,X0),the_carrier(sK7)) )
| spl15_1 ),
inference(resolution,[],[f85,f113]) ).
fof(f174,plain,
! [X2,X0,X1] :
( sP4(X0,X1)
| ~ relstr_set_smaller(X0,X1,sK12(X0,X2))
| ~ relstr_set_smaller(X0,X2,sK11(X0,X1,sK12(X0,X2)))
| ~ element(sK11(X0,X1,sK12(X0,X2)),the_carrier(X0))
| ~ sP4(X0,X2) ),
inference(subsumption_resolution,[],[f168,f81]) ).
fof(f168,plain,
! [X2,X0,X1] :
( sP4(X0,X1)
| ~ relstr_set_smaller(X0,X1,sK12(X0,X2))
| ~ element(sK12(X0,X2),the_carrier(X0))
| ~ relstr_set_smaller(X0,X2,sK11(X0,X1,sK12(X0,X2)))
| ~ element(sK11(X0,X1,sK12(X0,X2)),the_carrier(X0))
| ~ sP4(X0,X2) ),
inference(resolution,[],[f86,f83]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ related(X0,X2,sK11(X0,X1,X2))
| sP4(X0,X1)
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ! [X2] :
( ( ~ related(X0,X2,sK11(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK11(X0,X1,X2))
& element(sK11(X0,X1,X2),the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ) )
& ( ( ! [X5] :
( related(X0,sK12(X0,X1),X5)
| ~ relstr_set_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,sK12(X0,X1))
& element(sK12(X0,X1),the_carrier(X0)) )
| ~ sP4(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f51,f53,f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X0,X2,X3)
& relstr_set_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
=> ( ~ related(X0,X2,sK11(X0,X1,X2))
& relstr_set_smaller(X0,X1,sK11(X0,X1,X2))
& element(sK11(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,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,sK12(X0,X1),X5)
| ~ relstr_set_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,sK12(X0,X1))
& element(sK12(X0,X1),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0,X1] :
( ( sP4(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)) )
| ~ sP4(X0,X1) ) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( sP4(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)) )
| ~ sP4(X0,X1) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( sP4(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)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f85,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X0,X1,sK11(X0,X1,X2))
| sP4(X0,X1)
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f161,plain,
! [X2,X3,X0,X1] :
( sP4(X0,X1)
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X3)
| sP3(X3,X0,sK11(X0,X1,X2))
| ~ rel_str(X0) ),
inference(resolution,[],[f84,f78]) ).
fof(f84,plain,
! [X2,X0,X1] :
( element(sK11(X0,X1,X2),the_carrier(X0))
| sP4(X0,X1)
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f160,plain,
! [X2,X0,X1] :
( ~ relstr_set_smaller(X0,X1,sK10(sK12(X0,X1),X0,X2))
| ~ sP4(X0,X1)
| sP2(sK12(X0,X1),X0,X2)
| ~ relstr_set_smaller(X0,X2,sK12(X0,X1)) ),
inference(subsumption_resolution,[],[f158,f75]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ relstr_set_smaller(X0,X1,sK10(sK12(X0,X1),X0,X2))
| ~ element(sK10(sK12(X0,X1),X0,X2),the_carrier(X0))
| ~ sP4(X0,X1)
| sP2(sK12(X0,X1),X0,X2)
| ~ relstr_set_smaller(X0,X2,sK12(X0,X1)) ),
inference(resolution,[],[f83,f77]) ).
fof(f159,plain,
! [X2,X0,X1] :
( ~ relstr_set_smaller(X0,X1,sK6(sK12(X0,X1),X0,X2))
| ~ sP4(X0,X1)
| ~ relstr_set_smaller(X0,X2,sK12(X0,X1))
| ~ sP0(sK12(X0,X1),X0,X2) ),
inference(subsumption_resolution,[],[f157,f62]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ relstr_set_smaller(X0,X1,sK6(sK12(X0,X1),X0,X2))
| ~ element(sK6(sK12(X0,X1),X0,X2),the_carrier(X0))
| ~ sP4(X0,X1)
| ~ relstr_set_smaller(X0,X2,sK12(X0,X1))
| ~ sP0(sK12(X0,X1),X0,X2) ),
inference(resolution,[],[f83,f64]) ).
fof(f83,plain,
! [X0,X1,X5] :
( related(X0,sK12(X0,X1),X5)
| ~ relstr_set_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f155,plain,
! [X2,X0,X1] :
( ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| related(X0,join_on_relstr(X0,X1),X2)
| ~ rel_str(X0)
| ~ ex_sup_of_relstr_set(X0,X1) ),
inference(resolution,[],[f74,f136]) ).
fof(f74,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ relstr_set_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1))
| related(X1,X0,X4) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ( ~ related(X1,X0,sK10(X0,X1,X2))
& relstr_set_smaller(X1,X2,sK10(X0,X1,X2))
& element(sK10(X0,X1,X2),the_carrier(X1)) )
| ~ relstr_set_smaller(X1,X2,X0) )
& ( ( ! [X4] :
( related(X1,X0,X4)
| ~ relstr_set_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) )
& relstr_set_smaller(X1,X2,X0) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f46,f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X1,X0,X3)
& relstr_set_smaller(X1,X2,X3)
& element(X3,the_carrier(X1)) )
=> ( ~ related(X1,X0,sK10(X0,X1,X2))
& relstr_set_smaller(X1,X2,sK10(X0,X1,X2))
& element(sK10(X0,X1,X2),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( sP2(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) )
& ( ( ! [X4] :
( related(X1,X0,X4)
| ~ relstr_set_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) )
& relstr_set_smaller(X1,X2,X0) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ( sP2(X2,X0,X1)
| ? [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) )
| ~ sP2(X2,X0,X1) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ( sP2(X2,X0,X1)
| ? [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) )
| ~ sP2(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X2,X0,X1] :
( sP2(X2,X0,X1)
<=> ( ! [X3] :
( related(X0,X2,X3)
| ~ relstr_set_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_set_smaller(X0,X1,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ related(X1,X0,sK10(X0,X1,X2))
| sP2(X0,X1,X2)
| ~ relstr_set_smaller(X1,X2,X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f149,plain,
( ! [X0] :
( related(sK7,sK8,sK10(X0,sK7,sK9))
| ~ relstr_set_smaller(sK7,sK9,X0)
| sP2(X0,sK7,sK9) )
| spl15_1 ),
inference(subsumption_resolution,[],[f148,f75]) ).
fof(f148,plain,
( ! [X0] :
( sP2(X0,sK7,sK9)
| ~ relstr_set_smaller(sK7,sK9,X0)
| related(sK7,sK8,sK10(X0,sK7,sK9))
| ~ element(sK10(X0,sK7,sK9),the_carrier(sK7)) )
| spl15_1 ),
inference(resolution,[],[f76,f113]) ).
fof(f76,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X1,X2,sK10(X0,X1,X2))
| sP2(X0,X1,X2)
| ~ relstr_set_smaller(X1,X2,X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f147,plain,
! [X2,X3,X0,X1] :
( sP2(X0,X1,X2)
| ~ relstr_set_smaller(X1,X2,X0)
| ~ ex_sup_of_relstr_set(X1,X3)
| sP3(X3,X1,sK10(X0,X1,X2))
| ~ rel_str(X1) ),
inference(resolution,[],[f75,f78]) ).
fof(f75,plain,
! [X2,X0,X1] :
( element(sK10(X0,X1,X2),the_carrier(X1))
| sP2(X0,X1,X2)
| ~ relstr_set_smaller(X1,X2,X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ related(X1,X0,sK6(X0,X1,X2))
| ~ relstr_set_smaller(X1,X2,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( ~ related(X1,X0,sK6(X0,X1,X2))
& relstr_set_smaller(X1,X2,sK6(X0,X1,X2))
& element(sK6(X0,X1,X2),the_carrier(X1)) )
| ~ relstr_set_smaller(X1,X2,X0)
| ~ sP0(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f35,f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X1,X0,X3)
& relstr_set_smaller(X1,X2,X3)
& element(X3,the_carrier(X1)) )
=> ( ~ related(X1,X0,sK6(X0,X1,X2))
& relstr_set_smaller(X1,X2,sK6(X0,X1,X2))
& element(sK6(X0,X1,X2),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,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)
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f34]) ).
fof(f34,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)
| ~ sP0(X1,X0,X2) ),
inference(nnf_transformation,[],[f23]) ).
fof(f143,plain,
( ! [X0] :
( related(sK7,sK8,sK6(X0,sK7,sK9))
| ~ sP0(X0,sK7,sK9)
| ~ relstr_set_smaller(sK7,sK9,X0) )
| spl15_1 ),
inference(subsumption_resolution,[],[f142,f62]) ).
fof(f142,plain,
( ! [X0] :
( ~ relstr_set_smaller(sK7,sK9,X0)
| ~ sP0(X0,sK7,sK9)
| related(sK7,sK8,sK6(X0,sK7,sK9))
| ~ element(sK6(X0,sK7,sK9),the_carrier(sK7)) )
| spl15_1 ),
inference(resolution,[],[f63,f113]) ).
fof(f63,plain,
! [X2,X0,X1] :
( relstr_set_smaller(X1,X2,sK6(X0,X1,X2))
| ~ relstr_set_smaller(X1,X2,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| ~ sP4(X0,X2)
| ~ sP2(sK12(X0,X2),X0,X1)
| join_on_relstr(X0,X1) = sK12(X0,X2) ),
inference(resolution,[],[f130,f72]) ).
fof(f130,plain,
! [X2,X0,X1] :
( sP3(X1,X0,sK12(X0,X2))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| ~ sP4(X0,X2) ),
inference(resolution,[],[f78,f81]) ).
fof(f140,plain,
! [X2,X3,X0,X1] :
( ~ relstr_set_smaller(X0,X1,X2)
| ~ sP0(X2,X0,X1)
| ~ ex_sup_of_relstr_set(X0,X3)
| sP3(X3,X0,sK6(X2,X0,X1))
| ~ rel_str(X0) ),
inference(resolution,[],[f62,f78]) ).
fof(f62,plain,
! [X2,X0,X1] :
( element(sK6(X0,X1,X2),the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f138,plain,
! [X0,X1] :
( relstr_set_smaller(X0,X1,join_on_relstr(X0,X1))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(resolution,[],[f136,f73]) ).
fof(f136,plain,
! [X0,X1] :
( sP2(join_on_relstr(X0,X1),X0,X1)
| ~ rel_str(X0)
| ~ ex_sup_of_relstr_set(X0,X1) ),
inference(resolution,[],[f132,f91]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| ~ sP2(join_on_relstr(X0,X2),X0,X1)
| join_on_relstr(X0,X1) = join_on_relstr(X0,X2) ),
inference(resolution,[],[f132,f72]) ).
fof(f132,plain,
! [X2,X0,X1] :
( sP3(X1,X0,join_on_relstr(X0,X2))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(duplicate_literal_removal,[],[f128]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ ex_sup_of_relstr_set(X0,X1)
| sP3(X1,X0,join_on_relstr(X0,X2))
| ~ rel_str(X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f78,f89]) ).
fof(f135,plain,
! [X0,X1] :
( ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| ~ sP2(sK13(the_carrier(X0)),X0,X1)
| join_on_relstr(X0,X1) = sK13(the_carrier(X0)) ),
inference(resolution,[],[f131,f72]) ).
fof(f131,plain,
! [X0,X1] :
( sP3(X1,X0,sK13(the_carrier(X0)))
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(resolution,[],[f78,f88]) ).
fof(f134,plain,
! [X0] :
( ~ sP2(sK8,sK7,X0)
| ~ ex_sup_of_relstr_set(sK7,X0)
| sK8 = join_on_relstr(sK7,X0) ),
inference(resolution,[],[f133,f72]) ).
fof(f133,plain,
! [X0] :
( sP3(X0,sK7,sK8)
| ~ ex_sup_of_relstr_set(sK7,X0) ),
inference(subsumption_resolution,[],[f129,f66]) ).
fof(f129,plain,
! [X0] :
( ~ ex_sup_of_relstr_set(sK7,X0)
| sP3(X0,sK7,sK8)
| ~ rel_str(sK7) ),
inference(resolution,[],[f78,f67]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| ~ ex_sup_of_relstr_set(X0,X1)
| sP3(X1,X0,X2)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ! [X1,X2] :
( sP3(X1,X0,X2)
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(definition_folding,[],[f19,f27,f26]) ).
fof(f27,plain,
! [X1,X0,X2] :
( ( join_on_relstr(X0,X1) = X2
<=> sP2(X2,X0,X1) )
| ~ sP3(X1,X0,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f19,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,[],[f18]) ).
fof(f18,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/benchmark/theBenchmark.p',d9_yellow_0) ).
fof(f117,plain,
( related(sK7,sK8,sK12(sK7,sK9))
| ~ sP4(sK7,sK9)
| spl15_1 ),
inference(subsumption_resolution,[],[f115,f81]) ).
fof(f115,plain,
( related(sK7,sK8,sK12(sK7,sK9))
| ~ element(sK12(sK7,sK9),the_carrier(sK7))
| ~ sP4(sK7,sK9)
| spl15_1 ),
inference(resolution,[],[f113,f82]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| ~ sP2(X2,X1,X0)
| join_on_relstr(X1,X0) = X2 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ( ( join_on_relstr(X1,X0) = X2
| ~ sP2(X2,X1,X0) )
& ( sP2(X2,X1,X0)
| join_on_relstr(X1,X0) != X2 ) )
| ~ sP3(X0,X1,X2) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X1,X0,X2] :
( ( ( join_on_relstr(X0,X1) = X2
| ~ sP2(X2,X0,X1) )
& ( sP2(X2,X0,X1)
| join_on_relstr(X0,X1) != X2 ) )
| ~ sP3(X1,X0,X2) ),
inference(nnf_transformation,[],[f27]) ).
fof(f113,plain,
( ! [X3] :
( ~ relstr_set_smaller(sK7,sK9,X3)
| related(sK7,sK8,X3)
| ~ element(X3,the_carrier(sK7)) )
| spl15_1 ),
inference(subsumption_resolution,[],[f69,f94]) ).
fof(f91,plain,
! [X0,X1] :
( ~ sP3(X0,X1,join_on_relstr(X1,X0))
| sP2(join_on_relstr(X1,X0),X1,X0) ),
inference(equality_resolution,[],[f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| join_on_relstr(X1,X0) != X2
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f103,plain,
( ~ ex_sup_of_relstr_set(sK7,sK9)
| sK8 != join_on_relstr(sK7,sK9)
| spl15_1 ),
inference(subsumption_resolution,[],[f70,f94]) ).
fof(f82,plain,
! [X0,X1] :
( relstr_set_smaller(X0,X1,sK12(X0,X1))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f81,plain,
! [X0,X1] :
( element(sK12(X0,X1),the_carrier(X0))
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| join_on_relstr(X1,X0) = X2 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( sP0(X2,X1,X0)
& ex_sup_of_relstr_set(X1,X0)
& join_on_relstr(X1,X0) = X2 )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ( sP0(X1,X0,X2)
& ex_sup_of_relstr_set(X0,X2)
& join_on_relstr(X0,X2) = X1 )
| ~ sP1(X2,X0,X1) ),
inference(nnf_transformation,[],[f24]) ).
fof(f89,plain,
! [X0,X1] :
( element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( element(join_on_relstr(X0,X1),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( rel_str(X0)
=> element(join_on_relstr(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_yellow_0) ).
fof(f80,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| ex_sup_of_relstr_set(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ( ex_sup_of_relstr_set(X0,X1)
| ~ sP4(X0,X1) )
& ( sP4(X0,X1)
| ~ ex_sup_of_relstr_set(X0,X1) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ! [X1] :
( ex_sup_of_relstr_set(X0,X1)
<=> sP4(X0,X1) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f79,plain,
! [X0,X1] :
( sP4(X0,X1)
| ~ ex_sup_of_relstr_set(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| relstr_set_smaller(X1,X2,X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| sP0(X2,X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| ex_sup_of_relstr_set(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f68,plain,
( relstr_set_smaller(sK7,sK9,sK8)
| sP1(sK9,sK7,sK8) ),
inference(cnf_transformation,[],[f41]) ).
fof(f87,plain,
! [X0] :
( sP5(X0)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( sP5(X0)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(definition_folding,[],[f21,f30,f29]) ).
fof(f21,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,[],[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(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/benchmark/theBenchmark.p',t15_yellow_0) ).
fof(f88,plain,
! [X0] : element(sK13(X0),X0),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] : element(sK13(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f9,f55]) ).
fof(f55,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK13(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f9,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f67,plain,
element(sK8,the_carrier(sK7)),
inference(cnf_transformation,[],[f41]) ).
fof(f90,plain,
rel_str(sK14),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
rel_str(sK14),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f7,f57]) ).
fof(f57,plain,
( ? [X0] : rel_str(X0)
=> rel_str(sK14) ),
introduced(choice_axiom,[]) ).
fof(f7,axiom,
? [X0] : rel_str(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_orders_2) ).
fof(f66,plain,
rel_str(sK7),
inference(cnf_transformation,[],[f41]) ).
fof(f65,plain,
antisymmetric_relstr(sK7),
inference(cnf_transformation,[],[f41]) ).
fof(f70,plain,
( ~ ex_sup_of_relstr_set(sK7,sK9)
| sK8 != join_on_relstr(sK7,sK9)
| sP1(sK9,sK7,sK8) ),
inference(cnf_transformation,[],[f41]) ).
fof(f243,plain,
( spl15_1
| ~ spl15_2
| spl15_3
| ~ spl15_4 ),
inference(avatar_contradiction_clause,[],[f242]) ).
fof(f242,plain,
( $false
| spl15_1
| ~ spl15_2
| spl15_3
| ~ spl15_4 ),
inference(global_subsumption,[],[f70,f65,f66,f90,f67,f88,f87,f68,f60,f61,f73,f79,f80,f89,f59,f81,f82,f103,f91,f113,f72,f117,f78,f133,f134,f131,f135,f132,f137,f136,f138,f62,f140,f130,f141,f63,f143,f64,f75,f147,f76,f149,f77,f74,f155,f83,f159,f160,f84,f161,f85,f86,f174,f175,f69,f110,f236,f237,f107,f94,f99,f116,f146,f152,f241]) ).
fof(f235,plain,
( spl15_2
| ~ spl15_3
| ~ spl15_4 ),
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f234,plain,
( $false
| spl15_2
| ~ spl15_3
| ~ spl15_4 ),
inference(global_subsumption,[],[f70,f65,f66,f90,f67,f88,f87,f68,f60,f61,f73,f79,f80,f89,f59,f81,f82,f91,f72,f78,f133,f134,f131,f135,f132,f137,f136,f138,f62,f140,f130,f141,f63,f64,f75,f147,f76,f77,f74,f155,f83,f159,f160,f84,f161,f85,f86,f174,f69,f110,f106,f201,f202,f203,f206,f221,f220,f219,f207,f231,f98]) ).
fof(f98,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| spl15_2 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f231,plain,
( relstr_set_smaller(sK7,sK9,sK8)
| ~ spl15_3
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f230,f66]) ).
fof(f230,plain,
( relstr_set_smaller(sK7,sK9,sK8)
| ~ rel_str(sK7)
| ~ spl15_3
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f195,f110]) ).
fof(f195,plain,
( relstr_set_smaller(sK7,sK9,sK8)
| ~ ex_sup_of_relstr_set(sK7,sK9)
| ~ rel_str(sK7)
| ~ spl15_3 ),
inference(superposition,[],[f138,f106]) ).
fof(f207,plain,
( relstr_set_smaller(sK7,sK9,sK8)
| ~ spl15_3
| ~ spl15_4 ),
inference(resolution,[],[f203,f73]) ).
fof(f219,plain,
( related(sK7,sK8,sK8)
| ~ spl15_3
| ~ spl15_4 ),
inference(forward_demodulation,[],[f218,f106]) ).
fof(f218,plain,
( related(sK7,sK8,join_on_relstr(sK7,sK9))
| ~ spl15_3
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f217,f67]) ).
fof(f217,plain,
( ~ element(sK8,the_carrier(sK7))
| related(sK7,sK8,join_on_relstr(sK7,sK9))
| ~ spl15_3
| ~ spl15_4 ),
inference(forward_demodulation,[],[f216,f106]) ).
fof(f216,plain,
( ~ element(join_on_relstr(sK7,sK9),the_carrier(sK7))
| related(sK7,sK8,join_on_relstr(sK7,sK9))
| ~ spl15_3
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f215,f66]) ).
fof(f215,plain,
( ~ element(join_on_relstr(sK7,sK9),the_carrier(sK7))
| related(sK7,sK8,join_on_relstr(sK7,sK9))
| ~ rel_str(sK7)
| ~ spl15_3
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f209,f110]) ).
fof(f209,plain,
( ~ element(join_on_relstr(sK7,sK9),the_carrier(sK7))
| related(sK7,sK8,join_on_relstr(sK7,sK9))
| ~ ex_sup_of_relstr_set(sK7,sK9)
| ~ rel_str(sK7)
| ~ spl15_3
| ~ spl15_4 ),
inference(resolution,[],[f206,f138]) ).
fof(f220,plain,
( ! [X0] :
( related(sK7,sK8,sK6(X0,sK7,sK9))
| ~ relstr_set_smaller(sK7,sK9,X0)
| ~ sP0(X0,sK7,sK9) )
| ~ spl15_3
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f210,f62]) ).
fof(f210,plain,
( ! [X0] :
( ~ element(sK6(X0,sK7,sK9),the_carrier(sK7))
| related(sK7,sK8,sK6(X0,sK7,sK9))
| ~ relstr_set_smaller(sK7,sK9,X0)
| ~ sP0(X0,sK7,sK9) )
| ~ spl15_3
| ~ spl15_4 ),
inference(resolution,[],[f206,f63]) ).
fof(f221,plain,
( ! [X0] :
( related(sK7,sK8,sK10(X0,sK7,sK9))
| sP2(X0,sK7,sK9)
| ~ relstr_set_smaller(sK7,sK9,X0) )
| ~ spl15_3
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f211,f75]) ).
fof(f211,plain,
( ! [X0] :
( ~ element(sK10(X0,sK7,sK9),the_carrier(sK7))
| related(sK7,sK8,sK10(X0,sK7,sK9))
| sP2(X0,sK7,sK9)
| ~ relstr_set_smaller(sK7,sK9,X0) )
| ~ spl15_3
| ~ spl15_4 ),
inference(resolution,[],[f206,f76]) ).
fof(f206,plain,
( ! [X0] :
( ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,the_carrier(sK7))
| related(sK7,sK8,X0) )
| ~ spl15_3
| ~ spl15_4 ),
inference(resolution,[],[f203,f74]) ).
fof(f203,plain,
( sP2(sK8,sK7,sK9)
| ~ spl15_3
| ~ spl15_4 ),
inference(global_subsumption,[],[f70,f65,f66,f90,f67,f88,f87,f68,f60,f61,f73,f79,f80,f89,f59,f81,f82,f91,f72,f78,f133,f134,f131,f135,f132,f137,f136,f138,f62,f140,f130,f141,f63,f64,f75,f147,f76,f77,f74,f155,f83,f159,f160,f84,f161,f85,f86,f174,f69,f110,f106,f201,f202]) ).
fof(f202,plain,
( sP2(sK8,sK7,sK9)
| ~ sP3(sK9,sK7,sK8)
| ~ spl15_3 ),
inference(forward_demodulation,[],[f198,f106]) ).
fof(f198,plain,
( ~ sP3(sK9,sK7,sK8)
| sP2(join_on_relstr(sK7,sK9),sK7,sK9)
| ~ spl15_3 ),
inference(superposition,[],[f91,f106]) ).
fof(f201,plain,
( sP2(sK8,sK7,sK9)
| ~ spl15_3
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f200,f110]) ).
fof(f200,plain,
( sP2(sK8,sK7,sK9)
| ~ ex_sup_of_relstr_set(sK7,sK9)
| ~ spl15_3 ),
inference(subsumption_resolution,[],[f196,f66]) ).
fof(f196,plain,
( sP2(sK8,sK7,sK9)
| ~ rel_str(sK7)
| ~ ex_sup_of_relstr_set(sK7,sK9)
| ~ spl15_3 ),
inference(superposition,[],[f136,f106]) ).
fof(f106,plain,
( sK8 = join_on_relstr(sK7,sK9)
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f233,plain,
( ~ spl15_1
| ~ spl15_3
| ~ spl15_4 ),
inference(avatar_contradiction_clause,[],[f232]) ).
fof(f232,plain,
( $false
| ~ spl15_1
| ~ spl15_3
| ~ spl15_4 ),
inference(global_subsumption,[],[f70,f65,f66,f90,f67,f88,f87,f68,f60,f61,f73,f79,f80,f89,f59,f81,f82,f91,f72,f78,f133,f134,f131,f135,f132,f137,f136,f138,f62,f140,f130,f141,f63,f64,f75,f147,f76,f77,f74,f155,f83,f159,f160,f84,f161,f85,f86,f174,f69,f95,f183,f185,f110,f106,f201,f202,f184,f203,f206,f221,f220,f227,f219,f207,f231]) ).
fof(f227,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f223,f184]) ).
fof(f223,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ sP0(sK8,sK7,sK9)
| ~ spl15_3
| ~ spl15_4 ),
inference(duplicate_literal_removal,[],[f222]) ).
fof(f222,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ sP0(sK8,sK7,sK9)
| ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ sP0(sK8,sK7,sK9)
| ~ spl15_3
| ~ spl15_4 ),
inference(resolution,[],[f220,f64]) ).
fof(f184,plain,
( sP0(sK8,sK7,sK9)
| ~ spl15_1 ),
inference(resolution,[],[f95,f61]) ).
fof(f185,plain,
( ex_sup_of_relstr_set(sK7,sK9)
| ~ spl15_1 ),
inference(resolution,[],[f95,f60]) ).
fof(f183,plain,
( sK8 = join_on_relstr(sK7,sK9)
| ~ spl15_1 ),
inference(resolution,[],[f95,f59]) ).
fof(f95,plain,
( sP1(sK9,sK7,sK8)
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f229,plain,
( ~ spl15_1
| ~ spl15_3
| ~ spl15_4 ),
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f228,plain,
( $false
| ~ spl15_1
| ~ spl15_3
| ~ spl15_4 ),
inference(global_subsumption,[],[f70,f65,f66,f90,f67,f88,f87,f68,f60,f61,f73,f79,f80,f89,f59,f81,f82,f91,f72,f78,f133,f134,f131,f135,f132,f137,f136,f138,f62,f140,f130,f141,f63,f64,f75,f147,f76,f77,f74,f155,f83,f159,f160,f84,f161,f85,f86,f174,f69,f95,f183,f185,f110,f106,f201,f202,f184,f203,f206,f221,f220,f227,f219,f207]) ).
fof(f226,plain,
( ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4 ),
inference(avatar_contradiction_clause,[],[f225]) ).
fof(f225,plain,
( $false
| ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f224,f184]) ).
fof(f224,plain,
( ~ sP0(sK8,sK7,sK9)
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f223,f99]) ).
fof(f194,plain,
( ~ spl15_1
| spl15_5 ),
inference(avatar_contradiction_clause,[],[f193]) ).
fof(f193,plain,
( $false
| ~ spl15_1
| spl15_5 ),
inference(subsumption_resolution,[],[f192,f65]) ).
fof(f192,plain,
( ~ antisymmetric_relstr(sK7)
| ~ spl15_1
| spl15_5 ),
inference(subsumption_resolution,[],[f191,f66]) ).
fof(f191,plain,
( ~ rel_str(sK7)
| ~ antisymmetric_relstr(sK7)
| ~ spl15_1
| spl15_5 ),
inference(resolution,[],[f190,f87]) ).
fof(f190,plain,
( ~ sP5(sK7)
| ~ spl15_1
| spl15_5 ),
inference(global_subsumption,[],[f70,f65,f66,f90,f67,f88,f87,f68,f60,f61,f73,f79,f80,f89,f59,f81,f82,f91,f72,f78,f133,f134,f131,f135,f132,f137,f136,f138,f62,f140,f130,f141,f63,f64,f75,f147,f76,f77,f74,f155,f83,f159,f160,f84,f161,f85,f86,f174,f69,f121,f95,f184,f183,f185,f182]) ).
fof(f182,plain,
( ~ ex_sup_of_relstr_set(sK7,sK9)
| ~ sP5(sK7)
| spl15_5 ),
inference(resolution,[],[f121,f79]) ).
fof(f121,plain,
( ~ sP4(sK7,sK9)
| spl15_5 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl15_5
<=> sP4(sK7,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f189,plain,
( ~ spl15_1
| spl15_4 ),
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f188,plain,
( $false
| ~ spl15_1
| spl15_4 ),
inference(subsumption_resolution,[],[f185,f111]) ).
fof(f111,plain,
( ~ ex_sup_of_relstr_set(sK7,sK9)
| spl15_4 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f187,plain,
( ~ spl15_1
| spl15_3 ),
inference(avatar_contradiction_clause,[],[f186]) ).
fof(f186,plain,
( $false
| ~ spl15_1
| spl15_3 ),
inference(subsumption_resolution,[],[f183,f107]) ).
fof(f181,plain,
( spl15_4
| ~ spl15_5 ),
inference(avatar_contradiction_clause,[],[f180]) ).
fof(f180,plain,
( $false
| spl15_4
| ~ spl15_5 ),
inference(subsumption_resolution,[],[f179,f65]) ).
fof(f179,plain,
( ~ antisymmetric_relstr(sK7)
| spl15_4
| ~ spl15_5 ),
inference(subsumption_resolution,[],[f178,f66]) ).
fof(f178,plain,
( ~ rel_str(sK7)
| ~ antisymmetric_relstr(sK7)
| spl15_4
| ~ spl15_5 ),
inference(resolution,[],[f177,f87]) ).
fof(f177,plain,
( ~ sP5(sK7)
| spl15_4
| ~ spl15_5 ),
inference(subsumption_resolution,[],[f176,f111]) ).
fof(f176,plain,
( ex_sup_of_relstr_set(sK7,sK9)
| ~ sP5(sK7)
| ~ spl15_5 ),
inference(resolution,[],[f120,f80]) ).
fof(f120,plain,
( sP4(sK7,sK9)
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f173,plain,
( spl15_1
| ~ spl15_2
| spl15_5 ),
inference(avatar_contradiction_clause,[],[f172]) ).
fof(f172,plain,
( $false
| spl15_1
| ~ spl15_2
| spl15_5 ),
inference(subsumption_resolution,[],[f171,f67]) ).
fof(f171,plain,
( ~ element(sK8,the_carrier(sK7))
| spl15_1
| ~ spl15_2
| spl15_5 ),
inference(subsumption_resolution,[],[f170,f99]) ).
fof(f170,plain,
( ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ element(sK8,the_carrier(sK7))
| spl15_1
| spl15_5 ),
inference(subsumption_resolution,[],[f169,f121]) ).
fof(f169,plain,
( sP4(sK7,sK9)
| ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ element(sK8,the_carrier(sK7))
| spl15_1
| spl15_5 ),
inference(duplicate_literal_removal,[],[f167]) ).
fof(f167,plain,
( sP4(sK7,sK9)
| ~ relstr_set_smaller(sK7,sK9,sK8)
| ~ element(sK8,the_carrier(sK7))
| ~ element(sK8,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK9,sK8)
| spl15_1
| spl15_5 ),
inference(resolution,[],[f86,f166]) ).
fof(f166,plain,
( ! [X0] :
( related(sK7,sK8,sK11(sK7,sK9,X0))
| ~ element(X0,the_carrier(sK7))
| ~ relstr_set_smaller(sK7,sK9,X0) )
| spl15_1
| spl15_5 ),
inference(subsumption_resolution,[],[f165,f121]) ).
fof(f165,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK7))
| related(sK7,sK8,sK11(sK7,sK9,X0))
| ~ relstr_set_smaller(sK7,sK9,X0)
| sP4(sK7,sK9) )
| spl15_1
| spl15_5 ),
inference(duplicate_literal_removal,[],[f164]) ).
fof(f164,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK7))
| related(sK7,sK8,sK11(sK7,sK9,X0))
| ~ relstr_set_smaller(sK7,sK9,X0)
| sP4(sK7,sK9)
| ~ relstr_set_smaller(sK7,sK9,X0)
| ~ element(X0,the_carrier(sK7)) )
| spl15_1
| spl15_5 ),
inference(resolution,[],[f163,f84]) ).
fof(f163,plain,
( ! [X0] :
( ~ element(sK11(sK7,sK9,X0),the_carrier(sK7))
| ~ element(X0,the_carrier(sK7))
| related(sK7,sK8,sK11(sK7,sK9,X0))
| ~ relstr_set_smaller(sK7,sK9,X0) )
| spl15_1
| spl15_5 ),
inference(subsumption_resolution,[],[f162,f121]) ).
fof(f126,plain,
( ~ spl15_5
| spl15_6
| spl15_1 ),
inference(avatar_split_clause,[],[f117,f93,f123,f119]) ).
fof(f123,plain,
( spl15_6
<=> related(sK7,sK8,sK12(sK7,sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f112,plain,
( ~ spl15_3
| ~ spl15_4
| spl15_1 ),
inference(avatar_split_clause,[],[f103,f93,f109,f105]) ).
fof(f100,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f68,f97,f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SEU359+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 11:40:35 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (30273)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (30277)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (30276)WARNING: value z3 for option sas not known
% 0.14/0.38 % (30274)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (30276)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (30275)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (30279)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (30278)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (30280)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 % (30276)First to succeed.
% 0.14/0.39 TRYING [4]
% 0.14/0.39 % (30278)Also succeeded, but the first one will report.
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 % (30276)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30273"
% 0.14/0.39 TRYING [2]
% 0.14/0.39 % (30276)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (30276)------------------------------
% 0.14/0.40 % (30276)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40 % (30276)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (30276)Memory used [KB]: 912
% 0.14/0.40 % (30276)Time elapsed: 0.013 s
% 0.14/0.40 % (30276)Instructions burned: 19 (million)
% 0.14/0.40 % (30273)Success in time 0.027 s
%------------------------------------------------------------------------------