TSTP Solution File: SEU357+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU357+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:29:11 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 20
% Syntax : Number of formulae : 118 ( 3 unt; 0 def)
% Number of atoms : 751 ( 29 equ)
% Maximal formula atoms : 28 ( 6 avg)
% Number of connectives : 1051 ( 418 ~; 435 |; 148 &)
% ( 16 <=>; 32 =>; 0 <=; 2 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 9 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 216 ( 166 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f240,plain,
$false,
inference(avatar_sat_refutation,[],[f76,f80,f84,f89,f93,f97,f142,f162,f239]) ).
fof(f239,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(avatar_contradiction_clause,[],[f238]) ).
fof(f238,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(subsumption_resolution,[],[f237,f50]) ).
fof(f50,plain,
rel_str(sK2),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( antisymmetric_relstr(sK2)
& rel_str(sK2)
& ( ~ ex_inf_of_relstr_set(sK2,sK3)
| ! [X2] :
( ~ relstr_element_smaller(sK2,sK3,X2)
| ~ element(X2,the_carrier(sK2))
| ( relstr_element_smaller(sK2,sK3,sK4(X2))
& element(sK4(X2),the_carrier(sK2))
& ~ related(sK2,sK4(X2),X2) ) ) )
& ( ex_inf_of_relstr_set(sK2,sK3)
| ( relstr_element_smaller(sK2,sK3,sK5)
& element(sK5,the_carrier(sK2))
& ! [X5] :
( ~ relstr_element_smaller(sK2,sK3,X5)
| ~ element(X5,the_carrier(sK2))
| related(sK2,X5,sK5) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f25,f29,f28,f27,f26]) ).
fof(f26,plain,
( ? [X0] :
( antisymmetric_relstr(X0)
& rel_str(X0)
& ? [X1] :
( ( ~ ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ? [X3] :
( relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0))
& ~ related(X0,X3,X2) ) ) )
& ( ex_inf_of_relstr_set(X0,X1)
| ? [X4] :
( relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0))
& ! [X5] :
( ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0))
| related(X0,X5,X4) ) ) ) ) )
=> ( antisymmetric_relstr(sK2)
& rel_str(sK2)
& ? [X1] :
( ( ~ ex_inf_of_relstr_set(sK2,X1)
| ! [X2] :
( ~ relstr_element_smaller(sK2,X1,X2)
| ~ element(X2,the_carrier(sK2))
| ? [X3] :
( relstr_element_smaller(sK2,X1,X3)
& element(X3,the_carrier(sK2))
& ~ related(sK2,X3,X2) ) ) )
& ( ex_inf_of_relstr_set(sK2,X1)
| ? [X4] :
( relstr_element_smaller(sK2,X1,X4)
& element(X4,the_carrier(sK2))
& ! [X5] :
( ~ relstr_element_smaller(sK2,X1,X5)
| ~ element(X5,the_carrier(sK2))
| related(sK2,X5,X4) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
( ? [X1] :
( ( ~ ex_inf_of_relstr_set(sK2,X1)
| ! [X2] :
( ~ relstr_element_smaller(sK2,X1,X2)
| ~ element(X2,the_carrier(sK2))
| ? [X3] :
( relstr_element_smaller(sK2,X1,X3)
& element(X3,the_carrier(sK2))
& ~ related(sK2,X3,X2) ) ) )
& ( ex_inf_of_relstr_set(sK2,X1)
| ? [X4] :
( relstr_element_smaller(sK2,X1,X4)
& element(X4,the_carrier(sK2))
& ! [X5] :
( ~ relstr_element_smaller(sK2,X1,X5)
| ~ element(X5,the_carrier(sK2))
| related(sK2,X5,X4) ) ) ) )
=> ( ( ~ ex_inf_of_relstr_set(sK2,sK3)
| ! [X2] :
( ~ relstr_element_smaller(sK2,sK3,X2)
| ~ element(X2,the_carrier(sK2))
| ? [X3] :
( relstr_element_smaller(sK2,sK3,X3)
& element(X3,the_carrier(sK2))
& ~ related(sK2,X3,X2) ) ) )
& ( ex_inf_of_relstr_set(sK2,sK3)
| ? [X4] :
( relstr_element_smaller(sK2,sK3,X4)
& element(X4,the_carrier(sK2))
& ! [X5] :
( ~ relstr_element_smaller(sK2,sK3,X5)
| ~ element(X5,the_carrier(sK2))
| related(sK2,X5,X4) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X2] :
( ? [X3] :
( relstr_element_smaller(sK2,sK3,X3)
& element(X3,the_carrier(sK2))
& ~ related(sK2,X3,X2) )
=> ( relstr_element_smaller(sK2,sK3,sK4(X2))
& element(sK4(X2),the_carrier(sK2))
& ~ related(sK2,sK4(X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
( ? [X4] :
( relstr_element_smaller(sK2,sK3,X4)
& element(X4,the_carrier(sK2))
& ! [X5] :
( ~ relstr_element_smaller(sK2,sK3,X5)
| ~ element(X5,the_carrier(sK2))
| related(sK2,X5,X4) ) )
=> ( relstr_element_smaller(sK2,sK3,sK5)
& element(sK5,the_carrier(sK2))
& ! [X5] :
( ~ relstr_element_smaller(sK2,sK3,X5)
| ~ element(X5,the_carrier(sK2))
| related(sK2,X5,sK5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0] :
( antisymmetric_relstr(X0)
& rel_str(X0)
& ? [X1] :
( ( ~ ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ? [X3] :
( relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0))
& ~ related(X0,X3,X2) ) ) )
& ( ex_inf_of_relstr_set(X0,X1)
| ? [X4] :
( relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0))
& ! [X5] :
( ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0))
| related(X0,X5,X4) ) ) ) ) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
? [X0] :
( antisymmetric_relstr(X0)
& rel_str(X0)
& ? [X1] :
( ( ~ ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ? [X3] :
( relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0))
& ~ related(X0,X3,X2) ) ) )
& ( ex_inf_of_relstr_set(X0,X1)
| ? [X2] :
( relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0))
& ! [X3] :
( ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0))
| related(X0,X3,X2) ) ) ) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
? [X0] :
( antisymmetric_relstr(X0)
& rel_str(X0)
& ? [X1] :
( ? [X2] :
( relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0))
& ! [X3] :
( ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0))
| related(X0,X3,X2) ) )
<~> ex_inf_of_relstr_set(X0,X1) ) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0))
& ! [X3] :
( related(X0,X3,X2)
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0)) ) )
<~> ex_inf_of_relstr_set(X0,X1) )
& antisymmetric_relstr(X0)
& rel_str(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0] :
( ( antisymmetric_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( ? [X2] :
( relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0))
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X3)
=> related(X0,X3,X2) ) ) )
<=> ex_inf_of_relstr_set(X0,X1) ) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0] :
( ( antisymmetric_relstr(X0)
& rel_str(X0) )
=> ! [X1] :
( ? [X2] :
( relstr_element_smaller(X0,X1,X2)
& element(X2,the_carrier(X0))
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X3)
=> related(X0,X3,X2) ) ) )
<=> ex_inf_of_relstr_set(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_yellow_0) ).
fof(f237,plain,
( ~ rel_str(sK2)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(subsumption_resolution,[],[f236,f71]) ).
fof(f71,plain,
( ex_inf_of_relstr_set(sK2,sK3)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl11_1
<=> ex_inf_of_relstr_set(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f236,plain,
( ~ ex_inf_of_relstr_set(sK2,sK3)
| ~ rel_str(sK2)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(resolution,[],[f230,f59]) ).
fof(f59,plain,
! [X0,X1] :
( relstr_element_smaller(X0,X1,sK9(X0,X1))
| ~ ex_inf_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ( ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ( relstr_element_smaller(X0,X1,sK8(X0,X1,X2))
& element(sK8(X0,X1,X2),the_carrier(X0))
& ~ related(X0,sK8(X0,X1,X2),X2) )
| ~ sP0(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2) ) )
& ( ( ! [X5] :
( ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0))
| related(X0,X5,sK9(X0,X1)) )
& sP0(X0,X1,sK9(X0,X1))
& element(sK9(X0,X1),the_carrier(X0))
& relstr_element_smaller(X0,X1,sK9(X0,X1)) )
| ~ ex_inf_of_relstr_set(X0,X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f37,f39,f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ? [X3] :
( relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0))
& ~ related(X0,X3,X2) )
=> ( relstr_element_smaller(X0,X1,sK8(X0,X1,X2))
& element(sK8(X0,X1,X2),the_carrier(X0))
& ~ related(X0,sK8(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0,X1] :
( ? [X4] :
( ! [X5] :
( ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0))
| related(X0,X5,X4) )
& sP0(X0,X1,X4)
& element(X4,the_carrier(X0))
& relstr_element_smaller(X0,X1,X4) )
=> ( ! [X5] :
( ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0))
| related(X0,X5,sK9(X0,X1)) )
& sP0(X0,X1,sK9(X0,X1))
& element(sK9(X0,X1),the_carrier(X0))
& relstr_element_smaller(X0,X1,sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ( ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ? [X3] :
( relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0))
& ~ related(X0,X3,X2) )
| ~ sP0(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2) ) )
& ( ? [X4] :
( ! [X5] :
( ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0))
| related(X0,X5,X4) )
& sP0(X0,X1,X4)
& element(X4,the_carrier(X0))
& relstr_element_smaller(X0,X1,X4) )
| ~ ex_inf_of_relstr_set(X0,X1) ) ) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ( ex_inf_of_relstr_set(X0,X1)
| ! [X2] :
( ? [X5] :
( relstr_element_smaller(X0,X1,X5)
& element(X5,the_carrier(X0))
& ~ related(X0,X5,X2) )
| ~ sP0(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2) ) )
& ( ? [X2] :
( ! [X5] :
( ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0))
| related(X0,X5,X2) )
& sP0(X0,X1,X2)
& element(X2,the_carrier(X0))
& relstr_element_smaller(X0,X1,X2) )
| ~ ex_inf_of_relstr_set(X0,X1) ) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X5] :
( ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0))
| related(X0,X5,X2) )
& sP0(X0,X1,X2)
& element(X2,the_carrier(X0))
& relstr_element_smaller(X0,X1,X2) ) ) ),
inference(definition_folding,[],[f19,f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( sP0(X0,X1,X2)
<=> ! [X3] :
( ? [X4] :
( element(X4,the_carrier(X0))
& relstr_element_smaller(X0,X1,X4)
& ~ related(X0,X4,X3) )
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0))
| X2 = X3 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f19,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ex_inf_of_relstr_set(X0,X1)
<=> ? [X2] :
( ! [X5] :
( ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0))
| related(X0,X5,X2) )
& ! [X3] :
( ? [X4] :
( element(X4,the_carrier(X0))
& relstr_element_smaller(X0,X1,X4)
& ~ related(X0,X4,X3) )
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0))
| X2 = X3 )
& element(X2,the_carrier(X0))
& relstr_element_smaller(X0,X1,X2) ) ) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( X2 = X3
| ~ relstr_element_smaller(X0,X1,X3)
| ? [X4] :
( ~ related(X0,X4,X3)
& relstr_element_smaller(X0,X1,X4)
& element(X4,the_carrier(X0)) )
| ~ 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)) )
<=> ex_inf_of_relstr_set(X0,X1) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( ? [X2] :
( ! [X3] :
( element(X3,the_carrier(X0))
=> ( ( relstr_element_smaller(X0,X1,X3)
& ! [X4] :
( element(X4,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X4)
=> related(X0,X4,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)) )
<=> ex_inf_of_relstr_set(X0,X1) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( ? [X2] :
( ! [X3] :
( element(X3,the_carrier(X0))
=> ( ( relstr_element_smaller(X0,X1,X3)
& ! [X4] :
( element(X4,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X4)
=> related(X0,X4,X3) ) ) )
=> X2 = X3 ) )
& element(X2,the_carrier(X0))
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X3)
=> related(X0,X3,X2) ) )
& relstr_element_smaller(X0,X1,X2) )
<=> ex_inf_of_relstr_set(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_yellow_0) ).
fof(f230,plain,
( ~ relstr_element_smaller(sK2,sK3,sK9(sK2,sK3))
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(subsumption_resolution,[],[f229,f71]) ).
fof(f229,plain,
( ~ ex_inf_of_relstr_set(sK2,sK3)
| ~ relstr_element_smaller(sK2,sK3,sK9(sK2,sK3))
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_9 ),
inference(subsumption_resolution,[],[f228,f152]) ).
fof(f152,plain,
( element(sK9(sK2,sK3),the_carrier(sK2))
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl11_9
<=> element(sK9(sK2,sK3),the_carrier(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f228,plain,
( ~ element(sK9(sK2,sK3),the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,sK9(sK2,sK3))
| ~ ex_inf_of_relstr_set(sK2,sK3)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7 ),
inference(duplicate_literal_removal,[],[f227]) ).
fof(f227,plain,
( ~ relstr_element_smaller(sK2,sK3,sK9(sK2,sK3))
| ~ element(sK9(sK2,sK3),the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,sK9(sK2,sK3))
| ~ ex_inf_of_relstr_set(sK2,sK3)
| ~ element(sK9(sK2,sK3),the_carrier(sK2))
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7 ),
inference(resolution,[],[f180,f96]) ).
fof(f96,plain,
( ! [X2] :
( relstr_element_smaller(sK2,sK3,sK4(X2))
| ~ element(X2,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,X2) )
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl11_7
<=> ! [X2] :
( relstr_element_smaller(sK2,sK3,sK4(X2))
| ~ relstr_element_smaller(sK2,sK3,X2)
| ~ element(X2,the_carrier(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f180,plain,
( ! [X2] :
( ~ relstr_element_smaller(sK2,X2,sK4(sK9(sK2,X2)))
| ~ element(sK9(sK2,X2),the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,sK9(sK2,X2))
| ~ ex_inf_of_relstr_set(sK2,X2) )
| ~ spl11_3
| ~ spl11_6 ),
inference(subsumption_resolution,[],[f179,f79]) ).
fof(f79,plain,
( ! [X2] :
( element(sK4(X2),the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,X2)
| ~ element(X2,the_carrier(sK2)) )
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl11_3
<=> ! [X2] :
( element(sK4(X2),the_carrier(sK2))
| ~ element(X2,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f179,plain,
( ! [X2] :
( ~ element(sK9(sK2,X2),the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,sK9(sK2,X2))
| ~ ex_inf_of_relstr_set(sK2,X2)
| ~ element(sK4(sK9(sK2,X2)),the_carrier(sK2))
| ~ relstr_element_smaller(sK2,X2,sK4(sK9(sK2,X2))) )
| ~ spl11_6 ),
inference(subsumption_resolution,[],[f178,f50]) ).
fof(f178,plain,
( ! [X2] :
( ~ rel_str(sK2)
| ~ element(sK9(sK2,X2),the_carrier(sK2))
| ~ ex_inf_of_relstr_set(sK2,X2)
| ~ element(sK4(sK9(sK2,X2)),the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,sK9(sK2,X2))
| ~ relstr_element_smaller(sK2,X2,sK4(sK9(sK2,X2))) )
| ~ spl11_6 ),
inference(resolution,[],[f92,f62]) ).
fof(f62,plain,
! [X0,X1,X5] :
( related(X0,X5,sK9(X0,X1))
| ~ element(X5,the_carrier(X0))
| ~ ex_inf_of_relstr_set(X0,X1)
| ~ rel_str(X0)
| ~ relstr_element_smaller(X0,X1,X5) ),
inference(cnf_transformation,[],[f40]) ).
fof(f92,plain,
( ! [X2] :
( ~ related(sK2,sK4(X2),X2)
| ~ element(X2,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,X2) )
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl11_6
<=> ! [X2] :
( ~ relstr_element_smaller(sK2,sK3,X2)
| ~ related(sK2,sK4(X2),X2)
| ~ element(X2,the_carrier(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f162,plain,
( ~ spl11_1
| spl11_9 ),
inference(avatar_contradiction_clause,[],[f161]) ).
fof(f161,plain,
( $false
| ~ spl11_1
| spl11_9 ),
inference(subsumption_resolution,[],[f160,f50]) ).
fof(f160,plain,
( ~ rel_str(sK2)
| ~ spl11_1
| spl11_9 ),
inference(subsumption_resolution,[],[f159,f71]) ).
fof(f159,plain,
( ~ ex_inf_of_relstr_set(sK2,sK3)
| ~ rel_str(sK2)
| spl11_9 ),
inference(resolution,[],[f153,f60]) ).
fof(f60,plain,
! [X0,X1] :
( element(sK9(X0,X1),the_carrier(X0))
| ~ ex_inf_of_relstr_set(X0,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f153,plain,
( ~ element(sK9(sK2,sK3),the_carrier(sK2))
| spl11_9 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f142,plain,
( spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5 ),
inference(avatar_contradiction_clause,[],[f141]) ).
fof(f141,plain,
( $false
| spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f140,f127]) ).
fof(f127,plain,
( ~ sP0(sK2,sK3,sK5)
| spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f126,f50]) ).
fof(f126,plain,
( ~ rel_str(sK2)
| ~ sP0(sK2,sK3,sK5)
| spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f125,f88]) ).
fof(f88,plain,
( element(sK5,the_carrier(sK2))
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl11_5
<=> element(sK5,the_carrier(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f125,plain,
( ~ sP0(sK2,sK3,sK5)
| ~ element(sK5,the_carrier(sK2))
| ~ rel_str(sK2)
| spl11_1
| ~ spl11_2
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f124,f75]) ).
fof(f75,plain,
( relstr_element_smaller(sK2,sK3,sK5)
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl11_2
<=> relstr_element_smaller(sK2,sK3,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f124,plain,
( ~ relstr_element_smaller(sK2,sK3,sK5)
| ~ sP0(sK2,sK3,sK5)
| ~ rel_str(sK2)
| ~ element(sK5,the_carrier(sK2))
| spl11_1
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f123,f70]) ).
fof(f70,plain,
( ~ ex_inf_of_relstr_set(sK2,sK3)
| spl11_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f123,plain,
( ~ sP0(sK2,sK3,sK5)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ rel_str(sK2)
| ~ element(sK5,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,sK5)
| spl11_1
| ~ spl11_4 ),
inference(duplicate_literal_removal,[],[f121]) ).
fof(f121,plain,
( ~ sP0(sK2,sK3,sK5)
| ~ rel_str(sK2)
| ~ element(sK5,the_carrier(sK2))
| ~ element(sK5,the_carrier(sK2))
| ~ sP0(sK2,sK3,sK5)
| ~ relstr_element_smaller(sK2,sK3,sK5)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ relstr_element_smaller(sK2,sK3,sK5)
| spl11_1
| ~ spl11_4 ),
inference(resolution,[],[f116,f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ related(X0,sK8(X0,X1,X2),X2)
| ~ element(X2,the_carrier(X0))
| ex_inf_of_relstr_set(X0,X1)
| ~ sP0(X0,X1,X2)
| ~ relstr_element_smaller(X0,X1,X2)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f116,plain,
( ! [X0] :
( related(sK2,sK8(sK2,sK3,X0),sK5)
| ~ relstr_element_smaller(sK2,sK3,X0)
| ~ element(X0,the_carrier(sK2))
| ~ sP0(sK2,sK3,X0) )
| spl11_1
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f115,f50]) ).
fof(f115,plain,
( ! [X0] :
( ~ rel_str(sK2)
| ~ sP0(sK2,sK3,X0)
| ~ relstr_element_smaller(sK2,sK3,X0)
| ~ element(X0,the_carrier(sK2))
| related(sK2,sK8(sK2,sK3,X0),sK5) )
| spl11_1
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f114,f70]) ).
fof(f114,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK2))
| related(sK2,sK8(sK2,sK3,X0),sK5)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ relstr_element_smaller(sK2,sK3,X0)
| ~ rel_str(sK2)
| ~ sP0(sK2,sK3,X0) )
| spl11_1
| ~ spl11_4 ),
inference(duplicate_literal_removal,[],[f113]) ).
fof(f113,plain,
( ! [X0] :
( ~ sP0(sK2,sK3,X0)
| ~ rel_str(sK2)
| related(sK2,sK8(sK2,sK3,X0),sK5)
| ~ relstr_element_smaller(sK2,sK3,X0)
| ~ relstr_element_smaller(sK2,sK3,X0)
| ~ sP0(sK2,sK3,X0)
| ~ element(X0,the_carrier(sK2))
| ex_inf_of_relstr_set(sK2,sK3)
| ~ element(X0,the_carrier(sK2)) )
| spl11_1
| ~ spl11_4 ),
inference(resolution,[],[f105,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( element(sK8(X0,X1,X2),the_carrier(X0))
| ~ rel_str(X0)
| ~ sP0(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ex_inf_of_relstr_set(X0,X1)
| ~ relstr_element_smaller(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f105,plain,
( ! [X0] :
( ~ element(sK8(sK2,sK3,X0),the_carrier(sK2))
| ~ sP0(sK2,sK3,X0)
| related(sK2,sK8(sK2,sK3,X0),sK5)
| ~ element(X0,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,X0) )
| spl11_1
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f104,f50]) ).
fof(f104,plain,
( ! [X0] :
( ~ relstr_element_smaller(sK2,sK3,X0)
| ~ rel_str(sK2)
| related(sK2,sK8(sK2,sK3,X0),sK5)
| ~ element(X0,the_carrier(sK2))
| ~ element(sK8(sK2,sK3,X0),the_carrier(sK2))
| ~ sP0(sK2,sK3,X0) )
| spl11_1
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f99,f70]) ).
fof(f99,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK2))
| ex_inf_of_relstr_set(sK2,sK3)
| related(sK2,sK8(sK2,sK3,X0),sK5)
| ~ element(sK8(sK2,sK3,X0),the_carrier(sK2))
| ~ sP0(sK2,sK3,X0)
| ~ rel_str(sK2)
| ~ relstr_element_smaller(sK2,sK3,X0) )
| ~ spl11_4 ),
inference(resolution,[],[f83,f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( relstr_element_smaller(X0,X1,sK8(X0,X1,X2))
| ~ rel_str(X0)
| ~ sP0(X0,X1,X2)
| ex_inf_of_relstr_set(X0,X1)
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f83,plain,
( ! [X5] :
( ~ relstr_element_smaller(sK2,sK3,X5)
| ~ element(X5,the_carrier(sK2))
| related(sK2,X5,sK5) )
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl11_4
<=> ! [X5] :
( ~ element(X5,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,X5)
| related(sK2,X5,sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f140,plain,
( sP0(sK2,sK3,sK5)
| spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5 ),
inference(trivial_inequality_removal,[],[f137]) ).
fof(f137,plain,
( sK5 != sK5
| sP0(sK2,sK3,sK5)
| spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5 ),
inference(superposition,[],[f55,f131]) ).
fof(f131,plain,
( sK5 = sK6(sK2,sK3,sK5)
| spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5 ),
inference(resolution,[],[f120,f127]) ).
fof(f120,plain,
( ! [X0] :
( sP0(sK2,sK3,X0)
| sK5 = sK6(sK2,sK3,X0) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f119,f88]) ).
fof(f119,plain,
( ! [X0] :
( sK5 = sK6(sK2,sK3,X0)
| sP0(sK2,sK3,X0)
| ~ element(sK5,the_carrier(sK2)) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f118,f75]) ).
fof(f118,plain,
( ! [X0] :
( ~ relstr_element_smaller(sK2,sK3,sK5)
| ~ element(sK5,the_carrier(sK2))
| sK5 = sK6(sK2,sK3,X0)
| sP0(sK2,sK3,X0) )
| ~ spl11_4
| ~ spl11_5 ),
inference(duplicate_literal_removal,[],[f117]) ).
fof(f117,plain,
( ! [X0] :
( sK5 = sK6(sK2,sK3,X0)
| sP0(sK2,sK3,X0)
| ~ relstr_element_smaller(sK2,sK3,sK5)
| ~ element(sK5,the_carrier(sK2))
| sP0(sK2,sK3,X0) )
| ~ spl11_4
| ~ spl11_5 ),
inference(resolution,[],[f112,f58]) ).
fof(f58,plain,
! [X2,X0,X1,X4] :
( related(X0,X4,sK6(X0,X1,X2))
| ~ relstr_element_smaller(X0,X1,X4)
| sP0(X0,X1,X2)
| ~ element(X4,the_carrier(X0)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ! [X4] :
( ~ element(X4,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X4)
| related(X0,X4,sK6(X0,X1,X2)) )
& relstr_element_smaller(X0,X1,sK6(X0,X1,X2))
& element(sK6(X0,X1,X2),the_carrier(X0))
& sK6(X0,X1,X2) != X2 ) )
& ( ! [X5] :
( ( element(sK7(X0,X1,X5),the_carrier(X0))
& relstr_element_smaller(X0,X1,sK7(X0,X1,X5))
& ~ related(X0,sK7(X0,X1,X5),X5) )
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0))
| X2 = X5 )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f32,f34,f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ? [X3] :
( ! [X4] :
( ~ element(X4,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X4)
| related(X0,X4,X3) )
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0))
& X2 != X3 )
=> ( ! [X4] :
( ~ element(X4,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X4)
| related(X0,X4,sK6(X0,X1,X2)) )
& relstr_element_smaller(X0,X1,sK6(X0,X1,X2))
& element(sK6(X0,X1,X2),the_carrier(X0))
& sK6(X0,X1,X2) != X2 ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0,X1,X5] :
( ? [X6] :
( element(X6,the_carrier(X0))
& relstr_element_smaller(X0,X1,X6)
& ~ related(X0,X6,X5) )
=> ( element(sK7(X0,X1,X5),the_carrier(X0))
& relstr_element_smaller(X0,X1,sK7(X0,X1,X5))
& ~ related(X0,sK7(X0,X1,X5),X5) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ element(X4,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X4)
| related(X0,X4,X3) )
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0))
& X2 != X3 ) )
& ( ! [X5] :
( ? [X6] :
( element(X6,the_carrier(X0))
& relstr_element_smaller(X0,X1,X6)
& ~ related(X0,X6,X5) )
| ~ relstr_element_smaller(X0,X1,X5)
| ~ element(X5,the_carrier(X0))
| X2 = X5 )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ element(X4,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X4)
| related(X0,X4,X3) )
& relstr_element_smaller(X0,X1,X3)
& element(X3,the_carrier(X0))
& X2 != X3 ) )
& ( ! [X3] :
( ? [X4] :
( element(X4,the_carrier(X0))
& relstr_element_smaller(X0,X1,X4)
& ~ related(X0,X4,X3) )
| ~ relstr_element_smaller(X0,X1,X3)
| ~ element(X3,the_carrier(X0))
| X2 = X3 )
| ~ sP0(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f112,plain,
( ! [X0] :
( ~ related(sK2,sK5,sK6(sK2,sK3,X0))
| sP0(sK2,sK3,X0)
| sK5 = sK6(sK2,sK3,X0) )
| ~ spl11_4
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f111,f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( element(sK6(X0,X1,X2),the_carrier(X0))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f111,plain,
( ! [X0] :
( sK5 = sK6(sK2,sK3,X0)
| ~ element(sK6(sK2,sK3,X0),the_carrier(sK2))
| sP0(sK2,sK3,X0)
| ~ related(sK2,sK5,sK6(sK2,sK3,X0)) )
| ~ spl11_4
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f110,f50]) ).
fof(f110,plain,
( ! [X0] :
( ~ element(sK6(sK2,sK3,X0),the_carrier(sK2))
| sP0(sK2,sK3,X0)
| ~ rel_str(sK2)
| sK5 = sK6(sK2,sK3,X0)
| ~ related(sK2,sK5,sK6(sK2,sK3,X0)) )
| ~ spl11_4
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f109,f51]) ).
fof(f51,plain,
antisymmetric_relstr(sK2),
inference(cnf_transformation,[],[f30]) ).
fof(f109,plain,
( ! [X0] :
( sK5 = sK6(sK2,sK3,X0)
| ~ element(sK6(sK2,sK3,X0),the_carrier(sK2))
| ~ antisymmetric_relstr(sK2)
| sP0(sK2,sK3,X0)
| ~ related(sK2,sK5,sK6(sK2,sK3,X0))
| ~ rel_str(sK2) )
| ~ spl11_4
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f108,f88]) ).
fof(f108,plain,
( ! [X0] :
( ~ antisymmetric_relstr(sK2)
| sP0(sK2,sK3,X0)
| ~ element(sK6(sK2,sK3,X0),the_carrier(sK2))
| sK5 = sK6(sK2,sK3,X0)
| ~ element(sK5,the_carrier(sK2))
| ~ related(sK2,sK5,sK6(sK2,sK3,X0))
| ~ rel_str(sK2) )
| ~ spl11_4 ),
inference(resolution,[],[f103,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ related(X0,X2,X1)
| ~ element(X1,the_carrier(X0))
| ~ antisymmetric_relstr(X0)
| ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| X1 = X2
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ~ antisymmetric_relstr(X0)
| ~ rel_str(X0)
| ! [X1] :
( ! [X2] :
( X1 = X2
| ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ related(X0,X2,X1) )
| ~ element(X1,the_carrier(X0)) ) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ related(X0,X1,X2)
| ~ related(X0,X2,X1)
| ~ 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,X1,X2)
& related(X0,X2,X1) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_orders_2) ).
fof(f103,plain,
( ! [X1] :
( related(sK2,sK6(sK2,sK3,X1),sK5)
| sP0(sK2,sK3,X1) )
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f100,f56]) ).
fof(f100,plain,
( ! [X1] :
( ~ element(sK6(sK2,sK3,X1),the_carrier(sK2))
| related(sK2,sK6(sK2,sK3,X1),sK5)
| sP0(sK2,sK3,X1) )
| ~ spl11_4 ),
inference(resolution,[],[f83,f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( relstr_element_smaller(X0,X1,sK6(X0,X1,X2))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f55,plain,
! [X2,X0,X1] :
( sK6(X0,X1,X2) != X2
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f97,plain,
( ~ spl11_1
| spl11_7 ),
inference(avatar_split_clause,[],[f49,f95,f69]) ).
fof(f49,plain,
! [X2] :
( relstr_element_smaller(sK2,sK3,sK4(X2))
| ~ element(X2,the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,X2)
| ~ ex_inf_of_relstr_set(sK2,sK3) ),
inference(cnf_transformation,[],[f30]) ).
fof(f93,plain,
( ~ spl11_1
| spl11_6 ),
inference(avatar_split_clause,[],[f47,f91,f69]) ).
fof(f47,plain,
! [X2] :
( ~ relstr_element_smaller(sK2,sK3,X2)
| ~ element(X2,the_carrier(sK2))
| ~ ex_inf_of_relstr_set(sK2,sK3)
| ~ related(sK2,sK4(X2),X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f89,plain,
( spl11_1
| spl11_5 ),
inference(avatar_split_clause,[],[f45,f86,f69]) ).
fof(f45,plain,
( element(sK5,the_carrier(sK2))
| ex_inf_of_relstr_set(sK2,sK3) ),
inference(cnf_transformation,[],[f30]) ).
fof(f84,plain,
( spl11_1
| spl11_4 ),
inference(avatar_split_clause,[],[f44,f82,f69]) ).
fof(f44,plain,
! [X5] :
( ~ element(X5,the_carrier(sK2))
| related(sK2,X5,sK5)
| ex_inf_of_relstr_set(sK2,sK3)
| ~ relstr_element_smaller(sK2,sK3,X5) ),
inference(cnf_transformation,[],[f30]) ).
fof(f80,plain,
( ~ spl11_1
| spl11_3 ),
inference(avatar_split_clause,[],[f48,f78,f69]) ).
fof(f48,plain,
! [X2] :
( element(sK4(X2),the_carrier(sK2))
| ~ relstr_element_smaller(sK2,sK3,X2)
| ~ ex_inf_of_relstr_set(sK2,sK3)
| ~ element(X2,the_carrier(sK2)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f76,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f46,f73,f69]) ).
fof(f46,plain,
( relstr_element_smaller(sK2,sK3,sK5)
| ex_inf_of_relstr_set(sK2,sK3) ),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU357+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 15:41:16 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.49 % (17094)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.50 % (17086)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.51 % (17086)Refutation not found, incomplete strategy% (17086)------------------------------
% 0.20/0.51 % (17086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (17086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (17086)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (17086)Memory used [KB]: 6012
% 0.20/0.51 % (17086)Time elapsed: 0.113 s
% 0.20/0.51 % (17086)Instructions burned: 3 (million)
% 0.20/0.51 % (17086)------------------------------
% 0.20/0.51 % (17086)------------------------------
% 0.20/0.51 % (17078)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (17078)Refutation not found, incomplete strategy% (17078)------------------------------
% 0.20/0.51 % (17078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (17078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (17078)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (17078)Memory used [KB]: 6012
% 0.20/0.51 % (17078)Time elapsed: 0.114 s
% 0.20/0.51 % (17078)Instructions burned: 4 (million)
% 0.20/0.51 % (17078)------------------------------
% 0.20/0.51 % (17078)------------------------------
% 0.20/0.51 % (17076)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51 % (17076)Refutation not found, incomplete strategy% (17076)------------------------------
% 0.20/0.51 % (17076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (17076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (17076)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (17076)Memory used [KB]: 6012
% 0.20/0.51 % (17076)Time elapsed: 0.116 s
% 0.20/0.51 % (17076)Instructions burned: 4 (million)
% 0.20/0.51 % (17076)------------------------------
% 0.20/0.51 % (17076)------------------------------
% 0.20/0.52 % (17067)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (17070)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (17094)Instruction limit reached!
% 0.20/0.52 % (17094)------------------------------
% 0.20/0.52 % (17094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (17094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (17094)Termination reason: Unknown
% 0.20/0.52 % (17094)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (17094)Memory used [KB]: 6396
% 0.20/0.52 % (17094)Time elapsed: 0.119 s
% 0.20/0.52 % (17094)Instructions burned: 25 (million)
% 0.20/0.52 % (17094)------------------------------
% 0.20/0.52 % (17094)------------------------------
% 0.20/0.52 % (17070)Refutation not found, incomplete strategy% (17070)------------------------------
% 0.20/0.52 % (17070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (17070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (17070)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (17070)Memory used [KB]: 6012
% 0.20/0.52 % (17070)Time elapsed: 0.115 s
% 0.20/0.52 % (17070)Instructions burned: 2 (million)
% 0.20/0.52 % (17070)------------------------------
% 0.20/0.52 % (17070)------------------------------
% 0.20/0.52 % (17069)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (17069)Instruction limit reached!
% 0.20/0.52 % (17069)------------------------------
% 0.20/0.52 % (17069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (17069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (17069)Termination reason: Unknown
% 0.20/0.52 % (17069)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (17069)Memory used [KB]: 5884
% 0.20/0.52 % (17069)Time elapsed: 0.003 s
% 0.20/0.52 % (17069)Instructions burned: 3 (million)
% 0.20/0.52 % (17069)------------------------------
% 0.20/0.52 % (17069)------------------------------
% 0.20/0.52 % (17072)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (17074)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (17068)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (17091)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (17095)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53 % (17077)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.53 % (17071)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (17075)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53 % (17077)Refutation not found, incomplete strategy% (17077)------------------------------
% 0.20/0.53 % (17077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (17077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (17077)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (17077)Memory used [KB]: 6012
% 0.20/0.53 % (17077)Time elapsed: 0.126 s
% 0.20/0.53 % (17077)Instructions burned: 4 (million)
% 0.20/0.53 % (17077)------------------------------
% 0.20/0.53 % (17077)------------------------------
% 0.20/0.53 % (17090)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.53 % (17096)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.53 % (17082)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (17068)First to succeed.
% 0.20/0.54 % (17072)Instruction limit reached!
% 0.20/0.54 % (17072)------------------------------
% 0.20/0.54 % (17072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (17072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (17072)Termination reason: Unknown
% 0.20/0.54 % (17072)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (17072)Memory used [KB]: 1663
% 0.20/0.54 % (17072)Time elapsed: 0.130 s
% 0.20/0.54 % (17072)Instructions burned: 15 (million)
% 0.20/0.54 % (17072)------------------------------
% 0.20/0.54 % (17072)------------------------------
% 0.20/0.54 % (17071)Instruction limit reached!
% 0.20/0.54 % (17071)------------------------------
% 0.20/0.54 % (17071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (17071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (17071)Termination reason: Unknown
% 0.20/0.54 % (17071)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (17071)Memory used [KB]: 6140
% 0.20/0.54 % (17071)Time elapsed: 0.138 s
% 0.20/0.54 % (17071)Instructions burned: 13 (million)
% 0.20/0.54 % (17071)------------------------------
% 0.20/0.54 % (17071)------------------------------
% 0.20/0.54 % (17079)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.54 % (17082)Instruction limit reached!
% 0.20/0.54 % (17082)------------------------------
% 0.20/0.54 % (17082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (17082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (17082)Termination reason: Unknown
% 0.20/0.54 % (17082)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (17082)Memory used [KB]: 6140
% 0.20/0.54 % (17082)Time elapsed: 0.102 s
% 0.20/0.54 % (17082)Instructions burned: 7 (million)
% 0.20/0.54 % (17082)------------------------------
% 0.20/0.54 % (17082)------------------------------
% 0.20/0.54 % (17089)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.54 % (17095)Refutation not found, incomplete strategy% (17095)------------------------------
% 0.20/0.54 % (17095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (17093)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (17079)Refutation not found, incomplete strategy% (17079)------------------------------
% 0.20/0.54 % (17079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (17079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (17079)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (17079)Memory used [KB]: 1535
% 0.20/0.54 % (17079)Time elapsed: 0.141 s
% 0.20/0.54 % (17079)Instructions burned: 5 (million)
% 0.20/0.54 % (17079)------------------------------
% 0.20/0.54 % (17079)------------------------------
% 0.20/0.54 % (17083)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (17095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (17095)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (17095)Memory used [KB]: 6012
% 0.20/0.54 % (17095)Time elapsed: 0.140 s
% 0.20/0.54 % (17095)Instructions burned: 3 (million)
% 0.20/0.54 % (17095)------------------------------
% 0.20/0.54 % (17095)------------------------------
% 0.20/0.54 % (17088)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (17087)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.54 % (17084)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (17084)Instruction limit reached!
% 0.20/0.54 % (17084)------------------------------
% 0.20/0.54 % (17084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (17084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (17084)Termination reason: Unknown
% 0.20/0.54 % (17084)Termination phase: Finite model building preprocessing
% 0.20/0.54
% 0.20/0.54 % (17084)Memory used [KB]: 6012
% 0.20/0.54 % (17084)Time elapsed: 0.003 s
% 0.20/0.54 % (17084)Instructions burned: 4 (million)
% 0.20/0.54 % (17084)------------------------------
% 0.20/0.54 % (17084)------------------------------
% 0.20/0.55 % (17080)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (17092)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.55 % (17081)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.55 % (17081)Instruction limit reached!
% 0.20/0.55 % (17081)------------------------------
% 0.20/0.55 % (17081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (17081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (17081)Termination reason: Unknown
% 0.20/0.55 % (17081)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (17081)Memory used [KB]: 5884
% 0.20/0.55 % (17081)Time elapsed: 0.003 s
% 0.20/0.55 % (17081)Instructions burned: 3 (million)
% 0.20/0.55 % (17081)------------------------------
% 0.20/0.55 % (17081)------------------------------
% 0.20/0.55 % (17073)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.55 % (17080)Refutation not found, incomplete strategy% (17080)------------------------------
% 0.20/0.55 % (17080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (17080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (17080)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (17080)Memory used [KB]: 6012
% 0.20/0.55 % (17080)Time elapsed: 0.149 s
% 0.20/0.55 % (17080)Instructions burned: 4 (million)
% 0.20/0.55 % (17080)------------------------------
% 0.20/0.55 % (17080)------------------------------
% 0.20/0.55 % (17091)Also succeeded, but the first one will report.
% 0.20/0.55 % (17068)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (17068)------------------------------
% 0.20/0.55 % (17068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (17068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (17068)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (17068)Memory used [KB]: 6140
% 0.20/0.55 % (17068)Time elapsed: 0.134 s
% 0.20/0.55 % (17068)Instructions burned: 6 (million)
% 0.20/0.55 % (17068)------------------------------
% 0.20/0.55 % (17068)------------------------------
% 0.20/0.55 % (17065)Success in time 0.192 s
%------------------------------------------------------------------------------