TSTP Solution File: SEU357+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU357+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 : n009.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 09:36:30 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 21
% Syntax : Number of formulae : 203 ( 9 unt; 0 def)
% Number of atoms : 1157 ( 97 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 1654 ( 700 ~; 768 |; 137 &)
% ( 12 <=>; 34 =>; 0 <=; 3 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 537 ( 490 !; 47 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f253,plain,
$false,
inference(avatar_sat_refutation,[],[f89,f239,f243,f252]) ).
fof(f252,plain,
( ~ spl14_1
| spl14_2 ),
inference(avatar_contradiction_clause,[],[f251]) ).
fof(f251,plain,
( $false
| ~ spl14_1
| spl14_2 ),
inference(subsumption_resolution,[],[f250,f58]) ).
fof(f58,plain,
rel_str(sK6),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( ~ sP0(sK6,sK7)
| ~ ex_inf_of_relstr_set(sK6,sK7) )
& ( sP0(sK6,sK7)
| ex_inf_of_relstr_set(sK6,sK7) )
& rel_str(sK6)
& antisymmetric_relstr(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f32,f34,f33]) ).
fof(f33,plain,
( ? [X0] :
( ? [X1] :
( ( ~ sP0(X0,X1)
| ~ ex_inf_of_relstr_set(X0,X1) )
& ( sP0(X0,X1)
| ex_inf_of_relstr_set(X0,X1) ) )
& rel_str(X0)
& antisymmetric_relstr(X0) )
=> ( ? [X1] :
( ( ~ sP0(sK6,X1)
| ~ ex_inf_of_relstr_set(sK6,X1) )
& ( sP0(sK6,X1)
| ex_inf_of_relstr_set(sK6,X1) ) )
& rel_str(sK6)
& antisymmetric_relstr(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
( ? [X1] :
( ( ~ sP0(sK6,X1)
| ~ ex_inf_of_relstr_set(sK6,X1) )
& ( sP0(sK6,X1)
| ex_inf_of_relstr_set(sK6,X1) ) )
=> ( ( ~ sP0(sK6,sK7)
| ~ ex_inf_of_relstr_set(sK6,sK7) )
& ( sP0(sK6,sK7)
| ex_inf_of_relstr_set(sK6,sK7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
? [X0] :
( ? [X1] :
( ( ~ sP0(X0,X1)
| ~ ex_inf_of_relstr_set(X0,X1) )
& ( sP0(X0,X1)
| ex_inf_of_relstr_set(X0,X1) ) )
& rel_str(X0)
& antisymmetric_relstr(X0) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
? [X0] :
( ? [X1] :
( ex_inf_of_relstr_set(X0,X1)
<~> sP0(X0,X1) )
& rel_str(X0)
& antisymmetric_relstr(X0) ),
inference(definition_folding,[],[f16,f21]) ).
fof(f21,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ? [X2] :
( ! [X3] :
( related(X0,X3,X2)
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f16,plain,
? [X0] :
( ? [X1] :
( ex_inf_of_relstr_set(X0,X1)
<~> ? [X2] :
( ! [X3] :
( related(X0,X3,X2)
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) )
& rel_str(X0)
& antisymmetric_relstr(X0) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
? [X0] :
( ? [X1] :
( ex_inf_of_relstr_set(X0,X1)
<~> ? [X2] :
( ! [X3] :
( related(X0,X3,X2)
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) )
& rel_str(X0)
& antisymmetric_relstr(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X3)
=> related(X0,X3,X2) ) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X3)
=> related(X0,X3,X2) ) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_yellow_0) ).
fof(f250,plain,
( ~ rel_str(sK6)
| ~ spl14_1
| spl14_2 ),
inference(resolution,[],[f249,f77]) ).
fof(f77,plain,
! [X0] :
( sP3(X0)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( sP3(X0)
| ~ rel_str(X0) ),
inference(definition_folding,[],[f18,f25,f24,f23]) ).
fof(f23,plain,
! [X2,X0,X1] :
( sP1(X2,X0,X1)
<=> ! [X3] :
( X2 = X3
| ? [X4] :
( ~ related(X0,X4,X3)
& relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f24,plain,
! [X1,X0] :
( sP2(X1,X0)
<=> ? [X2] :
( sP1(X2,X0,X1)
& ! [X5] :
( related(X0,X5,X2)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> sP2(X1,X0) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f18,plain,
! [X0] :
( ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( X2 = X3
| ? [X4] :
( ~ related(X0,X4,X3)
& relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& ! [X5] :
( related(X0,X5,X2)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) )
| ~ rel_str(X0) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( X2 = X3
| ? [X4] :
( ~ related(X0,X4,X3)
& relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& ! [X5] :
( related(X0,X5,X2)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( element(X3,the_carrier(X0))
=> ( ( ! [X4] :
( element(X4,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X4)
=> related(X0,X4,X3) ) )
& relstr_element_smaller(X0,X1,X3) )
=> X2 = X3 ) )
& ! [X5] :
( element(X5,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X5)
=> related(X0,X5,X2) ) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X3] :
( element(X3,the_carrier(X0))
=> ( ( ! [X4] :
( element(X4,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X4)
=> related(X0,X4,X3) ) )
& relstr_element_smaller(X0,X1,X3) )
=> X2 = X3 ) )
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X3)
=> related(X0,X3,X2) ) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_yellow_0) ).
fof(f249,plain,
( ~ sP3(sK6)
| ~ spl14_1
| spl14_2 ),
inference(subsumption_resolution,[],[f248,f84]) ).
fof(f84,plain,
( ex_inf_of_relstr_set(sK6,sK7)
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl14_1
<=> ex_inf_of_relstr_set(sK6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f248,plain,
( ~ ex_inf_of_relstr_set(sK6,sK7)
| ~ sP3(sK6)
| spl14_2 ),
inference(resolution,[],[f87,f179]) ).
fof(f179,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ ex_inf_of_relstr_set(X0,X1)
| ~ sP3(X0) ),
inference(resolution,[],[f178,f61]) ).
fof(f61,plain,
! [X0,X1] :
( sP2(X1,X0)
| ~ ex_inf_of_relstr_set(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( ( ex_inf_of_relstr_set(X0,X1)
| ~ sP2(X1,X0) )
& ( sP2(X1,X0)
| ~ ex_inf_of_relstr_set(X0,X1) ) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f25]) ).
fof(f178,plain,
! [X0,X1] :
( ~ sP2(X1,X0)
| sP0(X0,X1) ),
inference(subsumption_resolution,[],[f177,f63]) ).
fof(f63,plain,
! [X0,X1] :
( element(sK9(X0,X1),the_carrier(X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ! [X2] :
( ~ sP1(X2,X1,X0)
| ( ~ related(X1,sK8(X0,X1,X2),X2)
& relstr_element_smaller(X1,X0,sK8(X0,X1,X2))
& element(sK8(X0,X1,X2),the_carrier(X1)) )
| ~ relstr_element_smaller(X1,X0,X2)
| ~ element(X2,the_carrier(X1)) ) )
& ( ( sP1(sK9(X0,X1),X1,X0)
& ! [X5] :
( related(X1,X5,sK9(X0,X1))
| ~ relstr_element_smaller(X1,X0,X5)
| ~ element(X5,the_carrier(X1)) )
& relstr_element_smaller(X1,X0,sK9(X0,X1))
& element(sK9(X0,X1),the_carrier(X1)) )
| ~ sP2(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f38,f40,f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X1,X3,X2)
& relstr_element_smaller(X1,X0,X3)
& element(X3,the_carrier(X1)) )
=> ( ~ related(X1,sK8(X0,X1,X2),X2)
& relstr_element_smaller(X1,X0,sK8(X0,X1,X2))
& element(sK8(X0,X1,X2),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0,X1] :
( ? [X4] :
( sP1(X4,X1,X0)
& ! [X5] :
( related(X1,X5,X4)
| ~ relstr_element_smaller(X1,X0,X5)
| ~ element(X5,the_carrier(X1)) )
& relstr_element_smaller(X1,X0,X4)
& element(X4,the_carrier(X1)) )
=> ( sP1(sK9(X0,X1),X1,X0)
& ! [X5] :
( related(X1,X5,sK9(X0,X1))
| ~ relstr_element_smaller(X1,X0,X5)
| ~ element(X5,the_carrier(X1)) )
& relstr_element_smaller(X1,X0,sK9(X0,X1))
& element(sK9(X0,X1),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ! [X2] :
( ~ sP1(X2,X1,X0)
| ? [X3] :
( ~ related(X1,X3,X2)
& relstr_element_smaller(X1,X0,X3)
& element(X3,the_carrier(X1)) )
| ~ relstr_element_smaller(X1,X0,X2)
| ~ element(X2,the_carrier(X1)) ) )
& ( ? [X4] :
( sP1(X4,X1,X0)
& ! [X5] :
( related(X1,X5,X4)
| ~ relstr_element_smaller(X1,X0,X5)
| ~ element(X5,the_carrier(X1)) )
& relstr_element_smaller(X1,X0,X4)
& element(X4,the_carrier(X1)) )
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ! [X2] :
( ~ sP1(X2,X0,X1)
| ? [X5] :
( ~ related(X0,X5,X2)
& relstr_element_smaller(X0,X1,X5)
& element(X5,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ) )
& ( ? [X2] :
( sP1(X2,X0,X1)
& ! [X5] :
( related(X0,X5,X2)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) )
| ~ sP2(X1,X0) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f177,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ sP2(X1,X0)
| ~ element(sK9(X1,X0),the_carrier(X0)) ),
inference(subsumption_resolution,[],[f176,f64]) ).
fof(f64,plain,
! [X0,X1] :
( relstr_element_smaller(X1,X0,sK9(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f176,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ sP2(X1,X0)
| ~ relstr_element_smaller(X0,X1,sK9(X1,X0))
| ~ element(sK9(X1,X0),the_carrier(X0)) ),
inference(duplicate_literal_removal,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ sP2(X1,X0)
| sP0(X0,X1)
| ~ relstr_element_smaller(X0,X1,sK9(X1,X0))
| ~ element(sK9(X1,X0),the_carrier(X0)) ),
inference(resolution,[],[f170,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( element(sK4(X0,X1,X2),the_carrier(X0))
| sP0(X0,X1)
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ! [X2] :
( ( ~ related(X0,sK4(X0,X1,X2),X2)
& relstr_element_smaller(X0,X1,sK4(X0,X1,X2))
& element(sK4(X0,X1,X2),the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ) )
& ( ( ! [X5] :
( related(X0,X5,sK5(X0,X1))
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,sK5(X0,X1))
& element(sK5(X0,X1),the_carrier(X0)) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f28,f30,f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X0,X3,X2)
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
=> ( ~ related(X0,sK4(X0,X1,X2),X2)
& relstr_element_smaller(X0,X1,sK4(X0,X1,X2))
& element(sK4(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0,X1] :
( ? [X4] :
( ! [X5] :
( related(X0,X5,X4)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) )
=> ( ! [X5] :
( related(X0,X5,sK5(X0,X1))
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,sK5(X0,X1))
& element(sK5(X0,X1),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ! [X2] :
( ? [X3] :
( ~ related(X0,X3,X2)
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ) )
& ( ? [X4] :
( ! [X5] :
( related(X0,X5,X4)
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ! [X2] :
( ? [X3] :
( ~ related(X0,X3,X2)
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ) )
& ( ? [X2] :
( ! [X3] :
( related(X0,X3,X2)
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0)) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f170,plain,
! [X0,X1] :
( ~ element(sK4(X0,X1,sK9(X1,X0)),the_carrier(X0))
| sP0(X0,X1)
| ~ sP2(X1,X0) ),
inference(subsumption_resolution,[],[f169,f63]) ).
fof(f169,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ element(sK4(X0,X1,sK9(X1,X0)),the_carrier(X0))
| ~ sP2(X1,X0)
| ~ element(sK9(X1,X0),the_carrier(X0)) ),
inference(subsumption_resolution,[],[f168,f64]) ).
fof(f168,plain,
! [X0,X1] :
( ~ relstr_element_smaller(X0,X1,sK9(X1,X0))
| sP0(X0,X1)
| ~ element(sK4(X0,X1,sK9(X1,X0)),the_carrier(X0))
| ~ sP2(X1,X0)
| ~ element(sK9(X1,X0),the_carrier(X0)) ),
inference(duplicate_literal_removal,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( ~ relstr_element_smaller(X0,X1,sK9(X1,X0))
| sP0(X0,X1)
| ~ element(sK4(X0,X1,sK9(X1,X0)),the_carrier(X0))
| ~ sP2(X1,X0)
| sP0(X0,X1)
| ~ relstr_element_smaller(X0,X1,sK9(X1,X0))
| ~ element(sK9(X1,X0),the_carrier(X0)) ),
inference(resolution,[],[f95,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( relstr_element_smaller(X0,X1,sK4(X0,X1,X2))
| sP0(X0,X1)
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ relstr_element_smaller(X0,X2,sK4(X0,X1,sK9(X2,X0)))
| ~ relstr_element_smaller(X0,X1,sK9(X2,X0))
| sP0(X0,X1)
| ~ element(sK4(X0,X1,sK9(X2,X0)),the_carrier(X0))
| ~ sP2(X2,X0) ),
inference(subsumption_resolution,[],[f93,f63]) ).
fof(f93,plain,
! [X2,X0,X1] :
( sP0(X0,X1)
| ~ relstr_element_smaller(X0,X1,sK9(X2,X0))
| ~ element(sK9(X2,X0),the_carrier(X0))
| ~ relstr_element_smaller(X0,X2,sK4(X0,X1,sK9(X2,X0)))
| ~ element(sK4(X0,X1,sK9(X2,X0)),the_carrier(X0))
| ~ sP2(X2,X0) ),
inference(resolution,[],[f56,f65]) ).
fof(f65,plain,
! [X0,X1,X5] :
( related(X1,X5,sK9(X0,X1))
| ~ relstr_element_smaller(X1,X0,X5)
| ~ element(X5,the_carrier(X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ related(X0,sK4(X0,X1,X2),X2)
| sP0(X0,X1)
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f87,plain,
( ~ sP0(sK6,sK7)
| spl14_2 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl14_2
<=> sP0(sK6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f243,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_contradiction_clause,[],[f242]) ).
fof(f242,plain,
( $false
| ~ spl14_1
| ~ spl14_2 ),
inference(global_subsumption,[],[f60,f57,f58,f80,f77,f79,f59,f88,f61,f62,f51,f52,f63,f64,f66,f76,f73,f74,f53,f65,f54,f55,f56,f75,f67,f68,f69,f104,f70,f71,f72,f110,f111,f112,f78,f105,f106,f98,f125,f126,f119,f127,f120,f141,f145,f121,f150,f152,f154,f132,f134,f159,f161,f143,f94,f95,f102,f170,f178,f179,f182,f174,f186,f136,f190,f192,f193,f194,f195,f199,f200,f103,f204,f240,f241,f84]) ).
fof(f241,plain,
( ~ ex_inf_of_relstr_set(sK6,sK7)
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f60,f88]) ).
fof(f240,plain,
( sK5(sK6,sK7) = sK10(sK5(sK6,sK7),sK6,sK7)
| ~ spl14_2 ),
inference(global_subsumption,[],[f60,f57,f58,f80,f77,f79,f59,f88,f61,f62,f51,f52,f63,f64,f66,f76,f73,f74,f53,f65,f54,f55,f56,f75,f67,f68,f69,f104,f70,f71,f72,f110,f111,f112,f78,f105,f106,f98,f125,f126,f119,f127,f120,f141,f145,f121,f150,f152,f154,f132,f134,f159,f161,f143,f94,f95,f102,f170,f178,f179,f182,f174,f186,f136,f190,f192,f193,f194,f195,f199,f200,f103,f204]) ).
fof(f204,plain,
( sK5(sK6,sK7) = sK10(sK5(sK6,sK7),sK6,sK7)
| ex_inf_of_relstr_set(sK6,sK7)
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f203,f57]) ).
fof(f203,plain,
( sK5(sK6,sK7) = sK10(sK5(sK6,sK7),sK6,sK7)
| ~ antisymmetric_relstr(sK6)
| ex_inf_of_relstr_set(sK6,sK7)
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f201,f58]) ).
fof(f201,plain,
( ~ rel_str(sK6)
| sK5(sK6,sK7) = sK10(sK5(sK6,sK7),sK6,sK7)
| ~ antisymmetric_relstr(sK6)
| ex_inf_of_relstr_set(sK6,sK7)
| ~ spl14_2 ),
inference(resolution,[],[f200,f88]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ relstr_element_smaller(X1,X0,sK8(X2,X1,sK9(X0,X1)))
| sP2(X2,X1)
| ~ relstr_element_smaller(X1,X2,sK9(X0,X1))
| ~ sP1(sK9(X0,X1),X1,X2)
| ~ element(sK8(X2,X1,sK9(X0,X1)),the_carrier(X1))
| ~ sP2(X0,X1) ),
inference(subsumption_resolution,[],[f100,f63]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ sP1(sK9(X0,X1),X1,X2)
| sP2(X2,X1)
| ~ relstr_element_smaller(X1,X2,sK9(X0,X1))
| ~ element(sK9(X0,X1),the_carrier(X1))
| ~ relstr_element_smaller(X1,X0,sK8(X2,X1,sK9(X0,X1)))
| ~ element(sK8(X2,X1,sK9(X0,X1)),the_carrier(X1))
| ~ sP2(X0,X1) ),
inference(resolution,[],[f69,f65]) ).
fof(f200,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ~ rel_str(X0)
| sK5(X0,X1) = sK10(sK5(X0,X1),X0,X1)
| ~ antisymmetric_relstr(X0)
| ex_inf_of_relstr_set(X0,X1) ),
inference(subsumption_resolution,[],[f198,f77]) ).
fof(f198,plain,
! [X0,X1] :
( ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| sK5(X0,X1) = sK10(sK5(X0,X1),X0,X1)
| ~ sP0(X0,X1)
| ex_inf_of_relstr_set(X0,X1)
| ~ sP3(X0) ),
inference(resolution,[],[f195,f62]) ).
fof(f199,plain,
! [X0,X1] :
( ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| sK5(X0,X1) = sK10(sK5(X0,X1),X0,X1)
| ~ sP0(X0,X1)
| sK5(X0,X1) = sK9(X1,X0) ),
inference(duplicate_literal_removal,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| sK5(X0,X1) = sK10(sK5(X0,X1),X0,X1)
| ~ sP0(X0,X1)
| ~ antisymmetric_relstr(X0)
| ~ sP0(X0,X1)
| sK5(X0,X1) = sK9(X1,X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f195,f159]) ).
fof(f195,plain,
! [X0,X1] :
( sP2(X1,X0)
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| sK5(X0,X1) = sK10(sK5(X0,X1),X0,X1)
| ~ sP0(X0,X1) ),
inference(resolution,[],[f192,f186]) ).
fof(f194,plain,
! [X2,X3,X0,X1] :
( sK5(X0,X1) = sK10(X2,X0,X1)
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| element(sK11(X0,X1,X3),the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0))
| X2 = X3 ),
inference(resolution,[],[f192,f70]) ).
fof(f193,plain,
! [X2,X3,X0,X1] :
( sK5(X0,X1) = sK10(X2,X0,X1)
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| relstr_element_smaller(X0,X1,sK11(X0,X1,X3))
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0))
| X2 = X3 ),
inference(resolution,[],[f192,f71]) ).
fof(f192,plain,
! [X2,X0,X1] :
( sP1(X2,X0,X1)
| sK5(X0,X1) = sK10(X2,X0,X1)
| ~ antisymmetric_relstr(X0)
| ~ rel_str(X0) ),
inference(subsumption_resolution,[],[f191,f125]) ).
fof(f191,plain,
! [X2,X0,X1] :
( ~ antisymmetric_relstr(X0)
| sK5(X0,X1) = sK10(X2,X0,X1)
| sP1(X2,X0,X1)
| ~ rel_str(X0)
| ~ sP0(X0,X1) ),
inference(resolution,[],[f190,f52]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ relstr_element_smaller(X0,X1,sK5(X0,X1))
| ~ antisymmetric_relstr(X0)
| sK5(X0,X1) = sK10(X2,X0,X1)
| sP1(X2,X0,X1)
| ~ rel_str(X0) ),
inference(subsumption_resolution,[],[f189,f125]) ).
fof(f189,plain,
! [X2,X0,X1] :
( ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| sK5(X0,X1) = sK10(X2,X0,X1)
| ~ sP0(X0,X1)
| sP1(X2,X0,X1)
| ~ relstr_element_smaller(X0,X1,sK5(X0,X1)) ),
inference(duplicate_literal_removal,[],[f188]) ).
fof(f188,plain,
! [X2,X0,X1] :
( ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| sK5(X0,X1) = sK10(X2,X0,X1)
| ~ sP0(X0,X1)
| sP1(X2,X0,X1)
| ~ relstr_element_smaller(X0,X1,sK5(X0,X1))
| sP1(X2,X0,X1) ),
inference(resolution,[],[f136,f74]) ).
fof(f136,plain,
! [X2,X3,X0,X1] :
( ~ relstr_element_smaller(X0,X1,sK10(X2,X0,X3))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| sK5(X0,X1) = sK10(X2,X0,X3)
| ~ sP0(X0,X1)
| sP1(X2,X0,X3)
| ~ relstr_element_smaller(X0,X3,sK5(X0,X1)) ),
inference(subsumption_resolution,[],[f135,f51]) ).
fof(f135,plain,
! [X2,X3,X0,X1] :
( sK5(X0,X1) = sK10(X2,X0,X3)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ relstr_element_smaller(X0,X1,sK10(X2,X0,X3))
| ~ sP0(X0,X1)
| sP1(X2,X0,X3)
| ~ relstr_element_smaller(X0,X3,sK5(X0,X1))
| ~ element(sK5(X0,X1),the_carrier(X0)) ),
inference(subsumption_resolution,[],[f130,f73]) ).
fof(f130,plain,
! [X2,X3,X0,X1] :
( sK5(X0,X1) = sK10(X2,X0,X3)
| ~ element(sK10(X2,X0,X3),the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ relstr_element_smaller(X0,X1,sK10(X2,X0,X3))
| ~ sP0(X0,X1)
| sP1(X2,X0,X3)
| ~ relstr_element_smaller(X0,X3,sK5(X0,X1))
| ~ element(sK5(X0,X1),the_carrier(X0)) ),
inference(resolution,[],[f119,f75]) ).
fof(f186,plain,
! [X0,X1] :
( ~ sP1(sK5(X0,X1),X0,X1)
| sP2(X1,X0)
| ~ sP0(X0,X1) ),
inference(subsumption_resolution,[],[f185,f51]) ).
fof(f185,plain,
! [X0,X1] :
( ~ sP1(sK5(X0,X1),X0,X1)
| sP2(X1,X0)
| ~ sP0(X0,X1)
| ~ element(sK5(X0,X1),the_carrier(X0)) ),
inference(subsumption_resolution,[],[f184,f52]) ).
fof(f184,plain,
! [X0,X1] :
( ~ sP1(sK5(X0,X1),X0,X1)
| sP2(X1,X0)
| ~ sP0(X0,X1)
| ~ relstr_element_smaller(X0,X1,sK5(X0,X1))
| ~ element(sK5(X0,X1),the_carrier(X0)) ),
inference(duplicate_literal_removal,[],[f183]) ).
fof(f183,plain,
! [X0,X1] :
( ~ sP1(sK5(X0,X1),X0,X1)
| sP2(X1,X0)
| ~ sP0(X0,X1)
| ~ sP1(sK5(X0,X1),X0,X1)
| sP2(X1,X0)
| ~ relstr_element_smaller(X0,X1,sK5(X0,X1))
| ~ element(sK5(X0,X1),the_carrier(X0)) ),
inference(resolution,[],[f174,f67]) ).
fof(f174,plain,
! [X0,X1] :
( ~ element(sK8(X0,X1,sK5(X1,X0)),the_carrier(X1))
| ~ sP1(sK5(X1,X0),X1,X0)
| sP2(X0,X1)
| ~ sP0(X1,X0) ),
inference(subsumption_resolution,[],[f173,f51]) ).
fof(f173,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ sP1(sK5(X1,X0),X1,X0)
| ~ element(sK8(X0,X1,sK5(X1,X0)),the_carrier(X1))
| ~ sP0(X1,X0)
| ~ element(sK5(X1,X0),the_carrier(X1)) ),
inference(subsumption_resolution,[],[f172,f52]) ).
fof(f172,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ relstr_element_smaller(X1,X0,sK5(X1,X0))
| ~ sP1(sK5(X1,X0),X1,X0)
| ~ element(sK8(X0,X1,sK5(X1,X0)),the_carrier(X1))
| ~ sP0(X1,X0)
| ~ element(sK5(X1,X0),the_carrier(X1)) ),
inference(duplicate_literal_removal,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ relstr_element_smaller(X1,X0,sK5(X1,X0))
| ~ sP1(sK5(X1,X0),X1,X0)
| ~ element(sK8(X0,X1,sK5(X1,X0)),the_carrier(X1))
| ~ sP0(X1,X0)
| ~ sP1(sK5(X1,X0),X1,X0)
| sP2(X0,X1)
| ~ relstr_element_smaller(X1,X0,sK5(X1,X0))
| ~ element(sK5(X1,X0),the_carrier(X1)) ),
inference(resolution,[],[f102,f68]) ).
fof(f182,plain,
! [X0,X1] :
( ~ ex_inf_of_relstr_set(X0,X1)
| ~ antisymmetric_relstr(X0)
| sK5(X0,X1) = sK9(X1,X0)
| ~ rel_str(X0) ),
inference(subsumption_resolution,[],[f181,f77]) ).
fof(f181,plain,
! [X0,X1] :
( ~ ex_inf_of_relstr_set(X0,X1)
| ~ sP3(X0)
| ~ antisymmetric_relstr(X0)
| sK5(X0,X1) = sK9(X1,X0)
| ~ rel_str(X0) ),
inference(duplicate_literal_removal,[],[f180]) ).
fof(f180,plain,
! [X0,X1] :
( ~ ex_inf_of_relstr_set(X0,X1)
| ~ sP3(X0)
| ~ antisymmetric_relstr(X0)
| sK5(X0,X1) = sK9(X1,X0)
| ~ rel_str(X0)
| ~ ex_inf_of_relstr_set(X0,X1) ),
inference(resolution,[],[f179,f161]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ relstr_element_smaller(X0,X1,sK8(X2,X0,sK5(X0,X1)))
| sP2(X2,X0)
| ~ relstr_element_smaller(X0,X2,sK5(X0,X1))
| ~ sP1(sK5(X0,X1),X0,X2)
| ~ element(sK8(X2,X0,sK5(X0,X1)),the_carrier(X0))
| ~ sP0(X0,X1) ),
inference(subsumption_resolution,[],[f99,f51]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ sP1(sK5(X0,X1),X0,X2)
| sP2(X2,X0)
| ~ relstr_element_smaller(X0,X2,sK5(X0,X1))
| ~ element(sK5(X0,X1),the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,sK8(X2,X0,sK5(X0,X1)))
| ~ element(sK8(X2,X0,sK5(X0,X1)),the_carrier(X0))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f69,f53]) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ relstr_element_smaller(X0,X2,sK4(X0,X1,sK5(X0,X2)))
| ~ relstr_element_smaller(X0,X1,sK5(X0,X2))
| sP0(X0,X1)
| ~ element(sK4(X0,X1,sK5(X0,X2)),the_carrier(X0))
| ~ sP0(X0,X2) ),
inference(subsumption_resolution,[],[f92,f51]) ).
fof(f92,plain,
! [X2,X0,X1] :
( sP0(X0,X1)
| ~ relstr_element_smaller(X0,X1,sK5(X0,X2))
| ~ element(sK5(X0,X2),the_carrier(X0))
| ~ relstr_element_smaller(X0,X2,sK4(X0,X1,sK5(X0,X2)))
| ~ element(sK4(X0,X1,sK5(X0,X2)),the_carrier(X0))
| ~ sP0(X0,X2) ),
inference(resolution,[],[f56,f53]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ relstr_element_smaller(X1,X2,sK9(X0,X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X0,sK9(X2,X1))
| ~ sP2(X0,X1)
| sK9(X0,X1) = sK9(X2,X1)
| ~ sP2(X2,X1) ),
inference(subsumption_resolution,[],[f142,f63]) ).
fof(f142,plain,
! [X2,X0,X1] :
( sK9(X0,X1) = sK9(X2,X1)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X0,sK9(X2,X1))
| ~ sP2(X0,X1)
| ~ relstr_element_smaller(X1,X2,sK9(X0,X1))
| ~ element(sK9(X0,X1),the_carrier(X1))
| ~ sP2(X2,X1) ),
inference(subsumption_resolution,[],[f138,f63]) ).
fof(f138,plain,
! [X2,X0,X1] :
( sK9(X0,X1) = sK9(X2,X1)
| ~ element(sK9(X2,X1),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X0,sK9(X2,X1))
| ~ sP2(X0,X1)
| ~ relstr_element_smaller(X1,X2,sK9(X0,X1))
| ~ element(sK9(X0,X1),the_carrier(X1))
| ~ sP2(X2,X1) ),
inference(resolution,[],[f120,f65]) ).
fof(f161,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ~ antisymmetric_relstr(X0)
| sK5(X0,X1) = sK9(X1,X0)
| ~ rel_str(X0)
| ~ ex_inf_of_relstr_set(X0,X1) ),
inference(subsumption_resolution,[],[f160,f77]) ).
fof(f160,plain,
! [X0,X1] :
( ~ antisymmetric_relstr(X0)
| ~ sP0(X0,X1)
| sK5(X0,X1) = sK9(X1,X0)
| ~ rel_str(X0)
| ~ ex_inf_of_relstr_set(X0,X1)
| ~ sP3(X0) ),
inference(resolution,[],[f159,f61]) ).
fof(f159,plain,
! [X0,X1] :
( ~ sP2(X1,X0)
| ~ antisymmetric_relstr(X0)
| ~ sP0(X0,X1)
| sK5(X0,X1) = sK9(X1,X0)
| ~ rel_str(X0) ),
inference(subsumption_resolution,[],[f158,f64]) ).
fof(f158,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ relstr_element_smaller(X0,X1,sK9(X1,X0))
| ~ sP0(X0,X1)
| sK5(X0,X1) = sK9(X1,X0)
| ~ sP2(X1,X0) ),
inference(duplicate_literal_removal,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ relstr_element_smaller(X0,X1,sK9(X1,X0))
| ~ sP0(X0,X1)
| sK5(X0,X1) = sK9(X1,X0)
| ~ sP2(X1,X0)
| ~ sP0(X0,X1) ),
inference(resolution,[],[f134,f52]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ relstr_element_smaller(X0,X2,sK5(X0,X1))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ relstr_element_smaller(X0,X1,sK9(X2,X0))
| ~ sP0(X0,X1)
| sK5(X0,X1) = sK9(X2,X0)
| ~ sP2(X2,X0) ),
inference(subsumption_resolution,[],[f133,f51]) ).
fof(f133,plain,
! [X2,X0,X1] :
( sK5(X0,X1) = sK9(X2,X0)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ relstr_element_smaller(X0,X1,sK9(X2,X0))
| ~ sP0(X0,X1)
| ~ relstr_element_smaller(X0,X2,sK5(X0,X1))
| ~ element(sK5(X0,X1),the_carrier(X0))
| ~ sP2(X2,X0) ),
inference(subsumption_resolution,[],[f129,f63]) ).
fof(f129,plain,
! [X2,X0,X1] :
( sK5(X0,X1) = sK9(X2,X0)
| ~ element(sK9(X2,X0),the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ relstr_element_smaller(X0,X1,sK9(X2,X0))
| ~ sP0(X0,X1)
| ~ relstr_element_smaller(X0,X2,sK5(X0,X1))
| ~ element(sK5(X0,X1),the_carrier(X0))
| ~ sP2(X2,X0) ),
inference(resolution,[],[f119,f65]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ relstr_element_smaller(X0,X2,sK5(X0,X1))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ relstr_element_smaller(X0,X1,sK5(X0,X2))
| ~ sP0(X0,X1)
| sK5(X0,X1) = sK5(X0,X2)
| ~ sP0(X0,X2) ),
inference(subsumption_resolution,[],[f131,f51]) ).
fof(f131,plain,
! [X2,X0,X1] :
( sK5(X0,X1) = sK5(X0,X2)
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ relstr_element_smaller(X0,X1,sK5(X0,X2))
| ~ sP0(X0,X1)
| ~ relstr_element_smaller(X0,X2,sK5(X0,X1))
| ~ element(sK5(X0,X1),the_carrier(X0))
| ~ sP0(X0,X2) ),
inference(subsumption_resolution,[],[f128,f51]) ).
fof(f128,plain,
! [X2,X0,X1] :
( sK5(X0,X1) = sK5(X0,X2)
| ~ element(sK5(X0,X2),the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ relstr_element_smaller(X0,X1,sK5(X0,X2))
| ~ sP0(X0,X1)
| ~ relstr_element_smaller(X0,X2,sK5(X0,X1))
| ~ element(sK5(X0,X1),the_carrier(X0))
| ~ sP0(X0,X2) ),
inference(resolution,[],[f119,f53]) ).
fof(f154,plain,
! [X2,X3,X0,X1,X4] :
( sK10(X0,X1,X2) = sK10(X3,X1,X4)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| sP1(X0,X1,X2)
| ~ relstr_element_smaller(X1,X2,sK10(X3,X1,X4))
| sP1(X3,X1,X4)
| ~ relstr_element_smaller(X1,X4,sK10(X0,X1,X2)) ),
inference(subsumption_resolution,[],[f153,f73]) ).
fof(f153,plain,
! [X2,X3,X0,X1,X4] :
( sK10(X0,X1,X2) = sK10(X3,X1,X4)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| sP1(X0,X1,X2)
| ~ relstr_element_smaller(X1,X2,sK10(X3,X1,X4))
| sP1(X3,X1,X4)
| ~ relstr_element_smaller(X1,X4,sK10(X0,X1,X2))
| ~ element(sK10(X0,X1,X2),the_carrier(X1)) ),
inference(subsumption_resolution,[],[f148,f73]) ).
fof(f148,plain,
! [X2,X3,X0,X1,X4] :
( sK10(X0,X1,X2) = sK10(X3,X1,X4)
| ~ element(sK10(X3,X1,X4),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| sP1(X0,X1,X2)
| ~ relstr_element_smaller(X1,X2,sK10(X3,X1,X4))
| sP1(X3,X1,X4)
| ~ relstr_element_smaller(X1,X4,sK10(X0,X1,X2))
| ~ element(sK10(X0,X1,X2),the_carrier(X1)) ),
inference(resolution,[],[f121,f75]) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( sK10(X0,X1,X2) = sK9(X3,X1)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| sP1(X0,X1,X2)
| ~ relstr_element_smaller(X1,X2,sK9(X3,X1))
| ~ relstr_element_smaller(X1,X3,sK10(X0,X1,X2))
| ~ sP2(X3,X1) ),
inference(subsumption_resolution,[],[f151,f73]) ).
fof(f151,plain,
! [X2,X3,X0,X1] :
( sK10(X0,X1,X2) = sK9(X3,X1)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| sP1(X0,X1,X2)
| ~ relstr_element_smaller(X1,X2,sK9(X3,X1))
| ~ relstr_element_smaller(X1,X3,sK10(X0,X1,X2))
| ~ element(sK10(X0,X1,X2),the_carrier(X1))
| ~ sP2(X3,X1) ),
inference(subsumption_resolution,[],[f147,f63]) ).
fof(f147,plain,
! [X2,X3,X0,X1] :
( sK10(X0,X1,X2) = sK9(X3,X1)
| ~ element(sK9(X3,X1),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| sP1(X0,X1,X2)
| ~ relstr_element_smaller(X1,X2,sK9(X3,X1))
| ~ relstr_element_smaller(X1,X3,sK10(X0,X1,X2))
| ~ element(sK10(X0,X1,X2),the_carrier(X1))
| ~ sP2(X3,X1) ),
inference(resolution,[],[f121,f65]) ).
fof(f150,plain,
! [X2,X3,X0,X1] :
( sK10(X0,X1,X2) = sK5(X1,X3)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| sP1(X0,X1,X2)
| ~ relstr_element_smaller(X1,X2,sK5(X1,X3))
| ~ relstr_element_smaller(X1,X3,sK10(X0,X1,X2))
| ~ sP0(X1,X3) ),
inference(subsumption_resolution,[],[f149,f73]) ).
fof(f149,plain,
! [X2,X3,X0,X1] :
( sK10(X0,X1,X2) = sK5(X1,X3)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| sP1(X0,X1,X2)
| ~ relstr_element_smaller(X1,X2,sK5(X1,X3))
| ~ relstr_element_smaller(X1,X3,sK10(X0,X1,X2))
| ~ element(sK10(X0,X1,X2),the_carrier(X1))
| ~ sP0(X1,X3) ),
inference(subsumption_resolution,[],[f146,f51]) ).
fof(f146,plain,
! [X2,X3,X0,X1] :
( sK10(X0,X1,X2) = sK5(X1,X3)
| ~ element(sK5(X1,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| sP1(X0,X1,X2)
| ~ relstr_element_smaller(X1,X2,sK5(X1,X3))
| ~ relstr_element_smaller(X1,X3,sK10(X0,X1,X2))
| ~ element(sK10(X0,X1,X2),the_carrier(X1))
| ~ sP0(X1,X3) ),
inference(resolution,[],[f121,f53]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( ~ related(X1,sK10(X0,X1,X2),X3)
| sK10(X0,X1,X2) = X3
| ~ element(X3,the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| sP1(X0,X1,X2)
| ~ relstr_element_smaller(X1,X2,X3) ),
inference(subsumption_resolution,[],[f116,f73]) ).
fof(f116,plain,
! [X2,X3,X0,X1] :
( sK10(X0,X1,X2) = X3
| ~ related(X1,sK10(X0,X1,X2),X3)
| ~ element(X3,the_carrier(X1))
| ~ element(sK10(X0,X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| sP1(X0,X1,X2)
| ~ relstr_element_smaller(X1,X2,X3) ),
inference(duplicate_literal_removal,[],[f115]) ).
fof(f115,plain,
! [X2,X3,X0,X1] :
( sK10(X0,X1,X2) = X3
| ~ related(X1,sK10(X0,X1,X2),X3)
| ~ element(X3,the_carrier(X1))
| ~ element(sK10(X0,X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| sP1(X0,X1,X2)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(resolution,[],[f78,f75]) ).
fof(f145,plain,
! [X2,X3,X0,X1] :
( sK9(X0,X1) = sK10(X2,X1,X3)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X0,sK10(X2,X1,X3))
| ~ sP2(X0,X1)
| sP1(X2,X1,X3)
| ~ relstr_element_smaller(X1,X3,sK9(X0,X1)) ),
inference(subsumption_resolution,[],[f144,f63]) ).
fof(f144,plain,
! [X2,X3,X0,X1] :
( sK9(X0,X1) = sK10(X2,X1,X3)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X0,sK10(X2,X1,X3))
| ~ sP2(X0,X1)
| sP1(X2,X1,X3)
| ~ relstr_element_smaller(X1,X3,sK9(X0,X1))
| ~ element(sK9(X0,X1),the_carrier(X1)) ),
inference(subsumption_resolution,[],[f139,f73]) ).
fof(f139,plain,
! [X2,X3,X0,X1] :
( sK9(X0,X1) = sK10(X2,X1,X3)
| ~ element(sK10(X2,X1,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X0,sK10(X2,X1,X3))
| ~ sP2(X0,X1)
| sP1(X2,X1,X3)
| ~ relstr_element_smaller(X1,X3,sK9(X0,X1))
| ~ element(sK9(X0,X1),the_carrier(X1)) ),
inference(resolution,[],[f120,f75]) ).
fof(f141,plain,
! [X2,X0,X1] :
( sK9(X0,X1) = sK5(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X0,sK5(X1,X2))
| ~ sP2(X0,X1)
| ~ relstr_element_smaller(X1,X2,sK9(X0,X1))
| ~ sP0(X1,X2) ),
inference(subsumption_resolution,[],[f140,f63]) ).
fof(f140,plain,
! [X2,X0,X1] :
( sK9(X0,X1) = sK5(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X0,sK5(X1,X2))
| ~ sP2(X0,X1)
| ~ relstr_element_smaller(X1,X2,sK9(X0,X1))
| ~ element(sK9(X0,X1),the_carrier(X1))
| ~ sP0(X1,X2) ),
inference(subsumption_resolution,[],[f137,f51]) ).
fof(f137,plain,
! [X2,X0,X1] :
( sK9(X0,X1) = sK5(X1,X2)
| ~ element(sK5(X1,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X0,sK5(X1,X2))
| ~ sP2(X0,X1)
| ~ relstr_element_smaller(X1,X2,sK9(X0,X1))
| ~ element(sK9(X0,X1),the_carrier(X1))
| ~ sP0(X1,X2) ),
inference(resolution,[],[f120,f53]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ related(X1,sK9(X0,X1),X2)
| sK9(X0,X1) = X2
| ~ element(X2,the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X0,X2)
| ~ sP2(X0,X1) ),
inference(subsumption_resolution,[],[f117,f63]) ).
fof(f117,plain,
! [X2,X0,X1] :
( sK9(X0,X1) = X2
| ~ related(X1,sK9(X0,X1),X2)
| ~ element(X2,the_carrier(X1))
| ~ element(sK9(X0,X1),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X0,X2)
| ~ sP2(X0,X1) ),
inference(duplicate_literal_removal,[],[f114]) ).
fof(f114,plain,
! [X2,X0,X1] :
( sK9(X0,X1) = X2
| ~ related(X1,sK9(X0,X1),X2)
| ~ element(X2,the_carrier(X1))
| ~ element(sK9(X0,X1),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X0,X2)
| ~ element(X2,the_carrier(X1))
| ~ sP2(X0,X1) ),
inference(resolution,[],[f78,f65]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( element(sK11(X0,X1,X2),the_carrier(X0))
| sP0(X0,X1)
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| X2 = X3 ),
inference(resolution,[],[f125,f70]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ related(X0,sK5(X0,X1),X2)
| sK5(X0,X1) = X2
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ relstr_element_smaller(X0,X1,X2)
| ~ sP0(X0,X1) ),
inference(subsumption_resolution,[],[f118,f51]) ).
fof(f118,plain,
! [X2,X0,X1] :
( sK5(X0,X1) = X2
| ~ related(X0,sK5(X0,X1),X2)
| ~ element(X2,the_carrier(X0))
| ~ element(sK5(X0,X1),the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ relstr_element_smaller(X0,X1,X2)
| ~ sP0(X0,X1) ),
inference(duplicate_literal_removal,[],[f113]) ).
fof(f113,plain,
! [X2,X0,X1] :
( sK5(X0,X1) = X2
| ~ related(X0,sK5(X0,X1),X2)
| ~ element(X2,the_carrier(X0))
| ~ element(sK5(X0,X1),the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0)
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f78,f53]) ).
fof(f126,plain,
! [X2,X3,X0,X1] :
( relstr_element_smaller(X0,X1,sK11(X0,X1,X2))
| sP0(X0,X1)
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| X2 = X3 ),
inference(resolution,[],[f125,f71]) ).
fof(f125,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| sP0(X1,X2) ),
inference(subsumption_resolution,[],[f124,f73]) ).
fof(f124,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| sP0(X1,X2)
| ~ element(sK10(X0,X1,X2),the_carrier(X1)) ),
inference(subsumption_resolution,[],[f123,f74]) ).
fof(f123,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| sP0(X1,X2)
| ~ relstr_element_smaller(X1,X2,sK10(X0,X1,X2))
| ~ element(sK10(X0,X1,X2),the_carrier(X1)) ),
inference(duplicate_literal_removal,[],[f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| sP0(X1,X2)
| ~ relstr_element_smaller(X1,X2,sK10(X0,X1,X2))
| sP0(X1,X2)
| ~ relstr_element_smaller(X1,X2,sK10(X0,X1,X2))
| ~ element(sK10(X0,X1,X2),the_carrier(X1)) ),
inference(resolution,[],[f98,f55]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( ~ relstr_element_smaller(X1,X2,sK4(X1,X3,sK10(X0,X1,X2)))
| sP1(X0,X1,X2)
| sP0(X1,X3)
| ~ relstr_element_smaller(X1,X3,sK10(X0,X1,X2)) ),
inference(subsumption_resolution,[],[f97,f73]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( sP1(X0,X1,X2)
| ~ relstr_element_smaller(X1,X2,sK4(X1,X3,sK10(X0,X1,X2)))
| sP0(X1,X3)
| ~ relstr_element_smaller(X1,X3,sK10(X0,X1,X2))
| ~ element(sK10(X0,X1,X2),the_carrier(X1)) ),
inference(subsumption_resolution,[],[f96,f54]) ).
fof(f96,plain,
! [X2,X3,X0,X1] :
( sP1(X0,X1,X2)
| ~ relstr_element_smaller(X1,X2,sK4(X1,X3,sK10(X0,X1,X2)))
| ~ element(sK4(X1,X3,sK10(X0,X1,X2)),the_carrier(X1))
| sP0(X1,X3)
| ~ relstr_element_smaller(X1,X3,sK10(X0,X1,X2))
| ~ element(sK10(X0,X1,X2),the_carrier(X1)) ),
inference(resolution,[],[f75,f56]) ).
fof(f106,plain,
! [X2,X0,X1] :
( relstr_element_smaller(X0,X1,sK11(X0,X1,X2))
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| sK9(X1,X0) = X2
| ~ sP2(X1,X0) ),
inference(resolution,[],[f71,f66]) ).
fof(f105,plain,
! [X2,X0,X1] :
( element(sK11(X0,X1,X2),the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| sK9(X1,X0) = X2
| ~ sP2(X1,X0) ),
inference(resolution,[],[f70,f66]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ related(X0,X2,X1)
| X1 = X2
| ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ related(X0,X2,X1)
| ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ related(X0,X2,X1)
| ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0)
| ~ antisymmetric_relstr(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( rel_str(X0)
& antisymmetric_relstr(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( related(X0,X2,X1)
& related(X0,X1,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_orders_2) ).
fof(f112,plain,
! [X2,X3,X0,X1,X4] :
( sK10(X1,X2,X3) = X0
| ~ relstr_element_smaller(X2,X4,sK10(X1,X2,X3))
| ~ sP1(X0,X2,X4)
| sP1(X1,X2,X3)
| ~ relstr_element_smaller(X2,X3,sK11(X2,X4,sK10(X1,X2,X3)))
| ~ element(sK11(X2,X4,sK10(X1,X2,X3)),the_carrier(X2)) ),
inference(subsumption_resolution,[],[f109,f73]) ).
fof(f109,plain,
! [X2,X3,X0,X1,X4] :
( sK10(X1,X2,X3) = X0
| ~ relstr_element_smaller(X2,X4,sK10(X1,X2,X3))
| ~ element(sK10(X1,X2,X3),the_carrier(X2))
| ~ sP1(X0,X2,X4)
| sP1(X1,X2,X3)
| ~ relstr_element_smaller(X2,X3,sK11(X2,X4,sK10(X1,X2,X3)))
| ~ element(sK11(X2,X4,sK10(X1,X2,X3)),the_carrier(X2)) ),
inference(resolution,[],[f72,f75]) ).
fof(f111,plain,
! [X2,X3,X0,X1] :
( sK9(X1,X2) = X0
| ~ relstr_element_smaller(X2,X3,sK9(X1,X2))
| ~ sP1(X0,X2,X3)
| ~ relstr_element_smaller(X2,X1,sK11(X2,X3,sK9(X1,X2)))
| ~ element(sK11(X2,X3,sK9(X1,X2)),the_carrier(X2))
| ~ sP2(X1,X2) ),
inference(subsumption_resolution,[],[f108,f63]) ).
fof(f108,plain,
! [X2,X3,X0,X1] :
( sK9(X1,X2) = X0
| ~ relstr_element_smaller(X2,X3,sK9(X1,X2))
| ~ element(sK9(X1,X2),the_carrier(X2))
| ~ sP1(X0,X2,X3)
| ~ relstr_element_smaller(X2,X1,sK11(X2,X3,sK9(X1,X2)))
| ~ element(sK11(X2,X3,sK9(X1,X2)),the_carrier(X2))
| ~ sP2(X1,X2) ),
inference(resolution,[],[f72,f65]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( sK5(X1,X2) = X0
| ~ relstr_element_smaller(X1,X3,sK5(X1,X2))
| ~ sP1(X0,X1,X3)
| ~ relstr_element_smaller(X1,X2,sK11(X1,X3,sK5(X1,X2)))
| ~ element(sK11(X1,X3,sK5(X1,X2)),the_carrier(X1))
| ~ sP0(X1,X2) ),
inference(subsumption_resolution,[],[f107,f51]) ).
fof(f107,plain,
! [X2,X3,X0,X1] :
( sK5(X1,X2) = X0
| ~ relstr_element_smaller(X1,X3,sK5(X1,X2))
| ~ element(sK5(X1,X2),the_carrier(X1))
| ~ sP1(X0,X1,X3)
| ~ relstr_element_smaller(X1,X2,sK11(X1,X3,sK5(X1,X2)))
| ~ element(sK11(X1,X3,sK5(X1,X2)),the_carrier(X1))
| ~ sP0(X1,X2) ),
inference(resolution,[],[f72,f53]) ).
fof(f72,plain,
! [X2,X0,X1,X5] :
( ~ related(X1,sK11(X1,X2,X5),X5)
| X0 = X5
| ~ relstr_element_smaller(X1,X2,X5)
| ~ element(X5,the_carrier(X1))
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ( sK10(X0,X1,X2) != X0
& ! [X4] :
( related(X1,X4,sK10(X0,X1,X2))
| ~ relstr_element_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) )
& relstr_element_smaller(X1,X2,sK10(X0,X1,X2))
& element(sK10(X0,X1,X2),the_carrier(X1)) ) )
& ( ! [X5] :
( X0 = X5
| ( ~ related(X1,sK11(X1,X2,X5),X5)
& relstr_element_smaller(X1,X2,sK11(X1,X2,X5))
& element(sK11(X1,X2,X5),the_carrier(X1)) )
| ~ relstr_element_smaller(X1,X2,X5)
| ~ element(X5,the_carrier(X1)) )
| ~ sP1(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f43,f45,f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ? [X3] :
( X0 != X3
& ! [X4] :
( related(X1,X4,X3)
| ~ relstr_element_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) )
& relstr_element_smaller(X1,X2,X3)
& element(X3,the_carrier(X1)) )
=> ( sK10(X0,X1,X2) != X0
& ! [X4] :
( related(X1,X4,sK10(X0,X1,X2))
| ~ relstr_element_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) )
& relstr_element_smaller(X1,X2,sK10(X0,X1,X2))
& element(sK10(X0,X1,X2),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X1,X2,X5] :
( ? [X6] :
( ~ related(X1,X6,X5)
& relstr_element_smaller(X1,X2,X6)
& element(X6,the_carrier(X1)) )
=> ( ~ related(X1,sK11(X1,X2,X5),X5)
& relstr_element_smaller(X1,X2,sK11(X1,X2,X5))
& element(sK11(X1,X2,X5),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ? [X3] :
( X0 != X3
& ! [X4] :
( related(X1,X4,X3)
| ~ relstr_element_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) )
& relstr_element_smaller(X1,X2,X3)
& element(X3,the_carrier(X1)) ) )
& ( ! [X5] :
( X0 = X5
| ? [X6] :
( ~ related(X1,X6,X5)
& relstr_element_smaller(X1,X2,X6)
& element(X6,the_carrier(X1)) )
| ~ relstr_element_smaller(X1,X2,X5)
| ~ element(X5,the_carrier(X1)) )
| ~ sP1(X0,X1,X2) ) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ( sP1(X2,X0,X1)
| ? [X3] :
( X2 != X3
& ! [X4] :
( related(X0,X4,X3)
| ~ relstr_element_smaller(X0,X1,X4)
| ~ element(X4,the_carrier(X0)) )
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( X2 = X3
| ? [X4] :
( ~ related(X0,X4,X3)
& relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) )
| ~ sP1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f71,plain,
! [X2,X0,X1,X5] :
( ~ sP1(X0,X1,X2)
| relstr_element_smaller(X1,X2,sK11(X1,X2,X5))
| ~ relstr_element_smaller(X1,X2,X5)
| ~ element(X5,the_carrier(X1))
| X0 = X5 ),
inference(cnf_transformation,[],[f46]) ).
fof(f70,plain,
! [X2,X0,X1,X5] :
( ~ sP1(X0,X1,X2)
| element(sK11(X1,X2,X5),the_carrier(X1))
| ~ relstr_element_smaller(X1,X2,X5)
| ~ element(X5,the_carrier(X1))
| X0 = X5 ),
inference(cnf_transformation,[],[f46]) ).
fof(f104,plain,
! [X2,X3,X0,X1] :
( ~ sP1(sK10(X0,X1,X2),X1,X3)
| sP2(X3,X1)
| ~ relstr_element_smaller(X1,X3,sK10(X0,X1,X2))
| sP1(X0,X1,X2)
| ~ relstr_element_smaller(X1,X2,sK8(X3,X1,sK10(X0,X1,X2)))
| ~ element(sK8(X3,X1,sK10(X0,X1,X2)),the_carrier(X1)) ),
inference(subsumption_resolution,[],[f101,f73]) ).
fof(f101,plain,
! [X2,X3,X0,X1] :
( ~ sP1(sK10(X0,X1,X2),X1,X3)
| sP2(X3,X1)
| ~ relstr_element_smaller(X1,X3,sK10(X0,X1,X2))
| ~ element(sK10(X0,X1,X2),the_carrier(X1))
| sP1(X0,X1,X2)
| ~ relstr_element_smaller(X1,X2,sK8(X3,X1,sK10(X0,X1,X2)))
| ~ element(sK8(X3,X1,sK10(X0,X1,X2)),the_carrier(X1)) ),
inference(resolution,[],[f69,f75]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ related(X1,sK8(X0,X1,X2),X2)
| ~ sP1(X2,X1,X0)
| sP2(X0,X1)
| ~ relstr_element_smaller(X1,X0,X2)
| ~ element(X2,the_carrier(X1)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f68,plain,
! [X2,X0,X1] :
( relstr_element_smaller(X1,X0,sK8(X0,X1,X2))
| ~ sP1(X2,X1,X0)
| sP2(X0,X1)
| ~ relstr_element_smaller(X1,X0,X2)
| ~ element(X2,the_carrier(X1)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f67,plain,
! [X2,X0,X1] :
( element(sK8(X0,X1,X2),the_carrier(X1))
| ~ sP1(X2,X1,X0)
| sP2(X0,X1)
| ~ relstr_element_smaller(X1,X0,X2)
| ~ element(X2,the_carrier(X1)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f75,plain,
! [X2,X0,X1,X4] :
( related(X1,X4,sK10(X0,X1,X2))
| sP1(X0,X1,X2)
| ~ relstr_element_smaller(X1,X2,X4)
| ~ element(X4,the_carrier(X1)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f53,plain,
! [X0,X1,X5] :
( related(X0,X5,sK5(X0,X1))
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f74,plain,
! [X2,X0,X1] :
( relstr_element_smaller(X1,X2,sK10(X0,X1,X2))
| sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f73,plain,
! [X2,X0,X1] :
( element(sK10(X0,X1,X2),the_carrier(X1))
| sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f76,plain,
! [X2,X0,X1] :
( sK10(X0,X1,X2) != X0
| sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f66,plain,
! [X0,X1] :
( sP1(sK9(X0,X1),X1,X0)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f52,plain,
! [X0,X1] :
( relstr_element_smaller(X0,X1,sK5(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f51,plain,
! [X0,X1] :
( element(sK5(X0,X1),the_carrier(X0))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f62,plain,
! [X0,X1] :
( ~ sP2(X1,X0)
| ex_inf_of_relstr_set(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f88,plain,
( sP0(sK6,sK7)
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f59,plain,
( sP0(sK6,sK7)
| ex_inf_of_relstr_set(sK6,sK7) ),
inference(cnf_transformation,[],[f35]) ).
fof(f79,plain,
! [X0] : element(sK12(X0),X0),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] : element(sK12(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f8,f47]) ).
fof(f47,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK12(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f8,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f80,plain,
rel_str(sK13),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
rel_str(sK13),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f6,f49]) ).
fof(f49,plain,
( ? [X0] : rel_str(X0)
=> rel_str(sK13) ),
introduced(choice_axiom,[]) ).
fof(f6,axiom,
? [X0] : rel_str(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_orders_2) ).
fof(f57,plain,
antisymmetric_relstr(sK6),
inference(cnf_transformation,[],[f35]) ).
fof(f60,plain,
( ~ sP0(sK6,sK7)
| ~ ex_inf_of_relstr_set(sK6,sK7) ),
inference(cnf_transformation,[],[f35]) ).
fof(f239,plain,
( spl14_1
| ~ spl14_2 ),
inference(avatar_contradiction_clause,[],[f238]) ).
fof(f238,plain,
( $false
| spl14_1
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f237,f58]) ).
fof(f237,plain,
( ~ rel_str(sK6)
| spl14_1
| ~ spl14_2 ),
inference(resolution,[],[f236,f77]) ).
fof(f236,plain,
( ~ sP3(sK6)
| spl14_1
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f232,f83]) ).
fof(f83,plain,
( ~ ex_inf_of_relstr_set(sK6,sK7)
| spl14_1 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f232,plain,
( ex_inf_of_relstr_set(sK6,sK7)
| ~ sP3(sK6)
| spl14_1
| ~ spl14_2 ),
inference(resolution,[],[f229,f62]) ).
fof(f229,plain,
( sP2(sK7,sK6)
| spl14_1
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f226,f88]) ).
fof(f226,plain,
( sP2(sK7,sK6)
| ~ sP0(sK6,sK7)
| spl14_1
| ~ spl14_2 ),
inference(resolution,[],[f215,f186]) ).
fof(f215,plain,
( sP1(sK5(sK6,sK7),sK6,sK7)
| spl14_1
| ~ spl14_2 ),
inference(trivial_inequality_removal,[],[f211]) ).
fof(f211,plain,
( sK5(sK6,sK7) != sK5(sK6,sK7)
| sP1(sK5(sK6,sK7),sK6,sK7)
| spl14_1
| ~ spl14_2 ),
inference(superposition,[],[f76,f205]) ).
fof(f205,plain,
( sK5(sK6,sK7) = sK10(sK5(sK6,sK7),sK6,sK7)
| spl14_1
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f204,f83]) ).
fof(f89,plain,
( spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f59,f86,f82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU357+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 11:40:55 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (28028)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (28031)WARNING: value z3 for option sas not known
% 0.21/0.37 % (28032)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (28033)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)
% 0.21/0.37 % (28034)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)
% 0.21/0.37 % (28030)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (28031)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)
% 0.21/0.37 % (28035)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)
% 0.21/0.37 % (28029)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [3]
% 0.21/0.39 % (28031)First to succeed.
% 0.21/0.39 TRYING [4]
% 0.21/0.39 TRYING [4]
% 0.21/0.39 % (28031)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28028"
% 0.21/0.39 % (28031)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Theorem for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (28031)------------------------------
% 0.21/0.39 % (28031)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.39 % (28031)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (28031)Memory used [KB]: 925
% 0.21/0.39 % (28031)Time elapsed: 0.017 s
% 0.21/0.39 % (28031)Instructions burned: 25 (million)
% 0.21/0.39 % (28028)Success in time 0.022 s
%------------------------------------------------------------------------------