TSTP Solution File: SEU384+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU384+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n007.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 May 1 03:52:31 EDT 2024
% Result : Theorem 0.66s 0.81s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 21
% Syntax : Number of formulae : 154 ( 17 unt; 0 def)
% Number of atoms : 803 ( 109 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 1055 ( 406 ~; 470 |; 142 &)
% ( 15 <=>; 21 =>; 0 <=; 1 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 3 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-4 aty)
% Number of variables : 314 ( 272 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1716,plain,
$false,
inference(avatar_sat_refutation,[],[f336,f422,f1715]) ).
fof(f1715,plain,
~ spl20_7,
inference(avatar_contradiction_clause,[],[f1714]) ).
fof(f1714,plain,
( $false
| ~ spl20_7 ),
inference(subsumption_resolution,[],[f1713,f688]) ).
fof(f688,plain,
( in(sK5(sF18,sF17),sF18)
| ~ spl20_7 ),
inference(subsumption_resolution,[],[f687,f182]) ).
fof(f182,plain,
sF17 != sF18,
inference(definition_folding,[],[f138,f181,f180,f179]) ).
fof(f179,plain,
netstr_restr_to_element(sK2,sK3,sK4) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f180,plain,
the_carrier(sF16) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f181,plain,
a_3_0_waybel_9(sK2,sK3,sK4) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f138,plain,
the_carrier(netstr_restr_to_element(sK2,sK3,sK4)) != a_3_0_waybel_9(sK2,sK3,sK4),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( the_carrier(netstr_restr_to_element(sK2,sK3,sK4)) != a_3_0_waybel_9(sK2,sK3,sK4)
& element(sK4,the_carrier(sK3))
& net_str(sK3,sK2)
& ~ empty_carrier(sK3)
& one_sorted_str(sK2)
& ~ empty_carrier(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f77,f103,f102,f101]) ).
fof(f101,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( the_carrier(netstr_restr_to_element(X0,X1,X2)) != a_3_0_waybel_9(X0,X1,X2)
& element(X2,the_carrier(X1)) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ( ? [X1] :
( ? [X2] :
( the_carrier(netstr_restr_to_element(sK2,X1,X2)) != a_3_0_waybel_9(sK2,X1,X2)
& element(X2,the_carrier(X1)) )
& net_str(X1,sK2)
& ~ empty_carrier(X1) )
& one_sorted_str(sK2)
& ~ empty_carrier(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( ? [X1] :
( ? [X2] :
( the_carrier(netstr_restr_to_element(sK2,X1,X2)) != a_3_0_waybel_9(sK2,X1,X2)
& element(X2,the_carrier(X1)) )
& net_str(X1,sK2)
& ~ empty_carrier(X1) )
=> ( ? [X2] :
( the_carrier(netstr_restr_to_element(sK2,sK3,X2)) != a_3_0_waybel_9(sK2,sK3,X2)
& element(X2,the_carrier(sK3)) )
& net_str(sK3,sK2)
& ~ empty_carrier(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
( ? [X2] :
( the_carrier(netstr_restr_to_element(sK2,sK3,X2)) != a_3_0_waybel_9(sK2,sK3,X2)
& element(X2,the_carrier(sK3)) )
=> ( the_carrier(netstr_restr_to_element(sK2,sK3,sK4)) != a_3_0_waybel_9(sK2,sK3,sK4)
& element(sK4,the_carrier(sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( the_carrier(netstr_restr_to_element(X0,X1,X2)) != a_3_0_waybel_9(X0,X1,X2)
& element(X2,the_carrier(X1)) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( the_carrier(netstr_restr_to_element(X0,X1,X2)) != a_3_0_waybel_9(X0,X1,X2)
& element(X2,the_carrier(X1)) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,negated_conjecture,
~ ! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> the_carrier(netstr_restr_to_element(X0,X1,X2)) = a_3_0_waybel_9(X0,X1,X2) ) ) ),
inference(negated_conjecture,[],[f65]) ).
fof(f65,conjecture,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> the_carrier(netstr_restr_to_element(X0,X1,X2)) = a_3_0_waybel_9(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.irDewZtcog/Vampire---4.8_14898',t12_waybel_9) ).
fof(f687,plain,
( in(sK5(sF18,sF17),sF18)
| sF17 = sF18
| ~ spl20_7 ),
inference(factoring,[],[f652]) ).
fof(f652,plain,
( ! [X0] :
( in(sK5(X0,sF17),sF18)
| sF17 = X0
| in(sK5(X0,sF17),X0) )
| ~ spl20_7 ),
inference(resolution,[],[f647,f140]) ).
fof(f140,plain,
! [X0,X1] :
( in(sK5(X0,X1),X1)
| X0 = X1
| in(sK5(X0,X1),X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK5(X0,X1),X1)
| ~ in(sK5(X0,X1),X0) )
& ( in(sK5(X0,X1),X1)
| in(sK5(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f105,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) )
=> ( ( ~ in(sK5(X0,X1),X1)
| ~ in(sK5(X0,X1),X0) )
& ( in(sK5(X0,X1),X1)
| in(sK5(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.irDewZtcog/Vampire---4.8_14898',t2_tarski) ).
fof(f647,plain,
( ! [X0] :
( ~ in(X0,sF17)
| in(X0,sF18) )
| ~ spl20_7 ),
inference(duplicate_literal_removal,[],[f646]) ).
fof(f646,plain,
( ! [X0] :
( ~ in(X0,sF17)
| ~ in(X0,sF17)
| in(X0,sF18) )
| ~ spl20_7 ),
inference(forward_demodulation,[],[f645,f180]) ).
fof(f645,plain,
( ! [X0] :
( ~ in(X0,the_carrier(sF16))
| ~ in(X0,sF17)
| in(X0,sF18) )
| ~ spl20_7 ),
inference(resolution,[],[f644,f331]) ).
fof(f331,plain,
( sP0(sF16,sK3,sK2,sK4)
| ~ spl20_7 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f329,plain,
( spl20_7
<=> sP0(sF16,sK3,sK2,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).
fof(f644,plain,
( ! [X2,X0,X1] :
( ~ sP0(X1,sK3,X2,sK4)
| ~ in(X0,the_carrier(X1))
| ~ in(X0,sF17)
| in(X0,sF18) )
| ~ spl20_7 ),
inference(forward_demodulation,[],[f643,f180]) ).
fof(f643,plain,
( ! [X2,X0,X1] :
( ~ in(X0,the_carrier(X1))
| ~ sP0(X1,sK3,X2,sK4)
| ~ in(X0,the_carrier(sF16))
| in(X0,sF18) )
| ~ spl20_7 ),
inference(resolution,[],[f582,f331]) ).
fof(f582,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP0(X3,sK3,X4,sK4)
| ~ in(X0,the_carrier(X1))
| ~ sP0(X1,sK3,X2,sK4)
| ~ in(X0,the_carrier(X3))
| in(X0,sF18) ),
inference(superposition,[],[f522,f156]) ).
fof(f156,plain,
! [X2,X3,X0,X1,X7] :
( sK13(X1,X3,X7) = X7
| ~ in(X7,the_carrier(X0))
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| the_mapping(X2,X0) != partfun_dom_restriction(the_carrier(X1),the_carrier(X2),the_mapping(X2,X1),the_carrier(X0))
| the_InternalRel(X0) != relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X0))
| ( ( ! [X5] :
( ~ related(X1,X3,X5)
| sK11(X0,X1,X3) != X5
| ~ element(X5,the_carrier(X1)) )
| ~ in(sK11(X0,X1,X3),the_carrier(X0)) )
& ( ( related(X1,X3,sK12(X0,X1,X3))
& sK11(X0,X1,X3) = sK12(X0,X1,X3)
& element(sK12(X0,X1,X3),the_carrier(X1)) )
| in(sK11(X0,X1,X3),the_carrier(X0)) ) ) )
& ( ( the_mapping(X2,X0) = partfun_dom_restriction(the_carrier(X1),the_carrier(X2),the_mapping(X2,X1),the_carrier(X0))
& the_InternalRel(X0) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X0))
& ! [X7] :
( ( in(X7,the_carrier(X0))
| ! [X8] :
( ~ related(X1,X3,X8)
| X7 != X8
| ~ element(X8,the_carrier(X1)) ) )
& ( ( related(X1,X3,sK13(X1,X3,X7))
& sK13(X1,X3,X7) = X7
& element(sK13(X1,X3,X7),the_carrier(X1)) )
| ~ in(X7,the_carrier(X0)) ) ) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f122,f125,f124,f123]) ).
fof(f123,plain,
! [X0,X1,X3] :
( ? [X4] :
( ( ! [X5] :
( ~ related(X1,X3,X5)
| X4 != X5
| ~ element(X5,the_carrier(X1)) )
| ~ in(X4,the_carrier(X0)) )
& ( ? [X6] :
( related(X1,X3,X6)
& X4 = X6
& element(X6,the_carrier(X1)) )
| in(X4,the_carrier(X0)) ) )
=> ( ( ! [X5] :
( ~ related(X1,X3,X5)
| sK11(X0,X1,X3) != X5
| ~ element(X5,the_carrier(X1)) )
| ~ in(sK11(X0,X1,X3),the_carrier(X0)) )
& ( ? [X6] :
( related(X1,X3,X6)
& sK11(X0,X1,X3) = X6
& element(X6,the_carrier(X1)) )
| in(sK11(X0,X1,X3),the_carrier(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0,X1,X3] :
( ? [X6] :
( related(X1,X3,X6)
& sK11(X0,X1,X3) = X6
& element(X6,the_carrier(X1)) )
=> ( related(X1,X3,sK12(X0,X1,X3))
& sK11(X0,X1,X3) = sK12(X0,X1,X3)
& element(sK12(X0,X1,X3),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X1,X3,X7] :
( ? [X9] :
( related(X1,X3,X9)
& X7 = X9
& element(X9,the_carrier(X1)) )
=> ( related(X1,X3,sK13(X1,X3,X7))
& sK13(X1,X3,X7) = X7
& element(sK13(X1,X3,X7),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| the_mapping(X2,X0) != partfun_dom_restriction(the_carrier(X1),the_carrier(X2),the_mapping(X2,X1),the_carrier(X0))
| the_InternalRel(X0) != relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X0))
| ? [X4] :
( ( ! [X5] :
( ~ related(X1,X3,X5)
| X4 != X5
| ~ element(X5,the_carrier(X1)) )
| ~ in(X4,the_carrier(X0)) )
& ( ? [X6] :
( related(X1,X3,X6)
& X4 = X6
& element(X6,the_carrier(X1)) )
| in(X4,the_carrier(X0)) ) ) )
& ( ( the_mapping(X2,X0) = partfun_dom_restriction(the_carrier(X1),the_carrier(X2),the_mapping(X2,X1),the_carrier(X0))
& the_InternalRel(X0) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X0))
& ! [X7] :
( ( in(X7,the_carrier(X0))
| ! [X8] :
( ~ related(X1,X3,X8)
| X7 != X8
| ~ element(X8,the_carrier(X1)) ) )
& ( ? [X9] :
( related(X1,X3,X9)
& X7 = X9
& element(X9,the_carrier(X1)) )
| ~ in(X7,the_carrier(X0)) ) ) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(rectify,[],[f121]) ).
fof(f121,plain,
! [X3,X1,X0,X2] :
( ( sP0(X3,X1,X0,X2)
| the_mapping(X0,X3) != partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3))
| the_InternalRel(X3) != relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
| ? [X4] :
( ( ! [X5] :
( ~ related(X1,X2,X5)
| X4 != X5
| ~ element(X5,the_carrier(X1)) )
| ~ in(X4,the_carrier(X3)) )
& ( ? [X5] :
( related(X1,X2,X5)
& X4 = X5
& element(X5,the_carrier(X1)) )
| in(X4,the_carrier(X3)) ) ) )
& ( ( the_mapping(X0,X3) = partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3))
& the_InternalRel(X3) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
& ! [X4] :
( ( in(X4,the_carrier(X3))
| ! [X5] :
( ~ related(X1,X2,X5)
| X4 != X5
| ~ element(X5,the_carrier(X1)) ) )
& ( ? [X5] :
( related(X1,X2,X5)
& X4 = X5
& element(X5,the_carrier(X1)) )
| ~ in(X4,the_carrier(X3)) ) ) )
| ~ sP0(X3,X1,X0,X2) ) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X3,X1,X0,X2] :
( ( sP0(X3,X1,X0,X2)
| the_mapping(X0,X3) != partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3))
| the_InternalRel(X3) != relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
| ? [X4] :
( ( ! [X5] :
( ~ related(X1,X2,X5)
| X4 != X5
| ~ element(X5,the_carrier(X1)) )
| ~ in(X4,the_carrier(X3)) )
& ( ? [X5] :
( related(X1,X2,X5)
& X4 = X5
& element(X5,the_carrier(X1)) )
| in(X4,the_carrier(X3)) ) ) )
& ( ( the_mapping(X0,X3) = partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3))
& the_InternalRel(X3) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
& ! [X4] :
( ( in(X4,the_carrier(X3))
| ! [X5] :
( ~ related(X1,X2,X5)
| X4 != X5
| ~ element(X5,the_carrier(X1)) ) )
& ( ? [X5] :
( related(X1,X2,X5)
& X4 = X5
& element(X5,the_carrier(X1)) )
| ~ in(X4,the_carrier(X3)) ) ) )
| ~ sP0(X3,X1,X0,X2) ) ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X3,X1,X0,X2] :
( sP0(X3,X1,X0,X2)
<=> ( the_mapping(X0,X3) = partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3))
& the_InternalRel(X3) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
& ! [X4] :
( in(X4,the_carrier(X3))
<=> ? [X5] :
( related(X1,X2,X5)
& X4 = X5
& element(X5,the_carrier(X1)) ) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f522,plain,
! [X2,X0,X1] :
( in(sK13(sK3,sK4,X0),sF18)
| ~ in(X0,the_carrier(X1))
| ~ sP0(X1,sK3,X2,sK4) ),
inference(subsumption_resolution,[],[f520,f268]) ).
fof(f268,plain,
! [X2,X3,X0,X1] :
( element(sK13(sK3,X0,X1),sF19)
| ~ in(X1,the_carrier(X2))
| ~ sP0(X2,sK3,X3,X0) ),
inference(superposition,[],[f155,f183]) ).
fof(f183,plain,
the_carrier(sK3) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f155,plain,
! [X2,X3,X0,X1,X7] :
( element(sK13(X1,X3,X7),the_carrier(X1))
| ~ in(X7,the_carrier(X0))
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f126]) ).
fof(f520,plain,
! [X2,X0,X1] :
( in(sK13(sK3,sK4,X0),sF18)
| ~ element(sK13(sK3,sK4,X0),sF19)
| ~ in(X0,the_carrier(X1))
| ~ sP0(X1,sK3,X2,sK4) ),
inference(resolution,[],[f515,f157]) ).
fof(f157,plain,
! [X2,X3,X0,X1,X7] :
( related(X1,X3,sK13(X1,X3,X7))
| ~ in(X7,the_carrier(X0))
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f126]) ).
fof(f515,plain,
! [X0] :
( ~ related(sK3,sK4,X0)
| in(X0,sF18)
| ~ element(X0,sF19) ),
inference(subsumption_resolution,[],[f514,f184]) ).
fof(f184,plain,
element(sK4,sF19),
inference(definition_folding,[],[f137,f183]) ).
fof(f137,plain,
element(sK4,the_carrier(sK3)),
inference(cnf_transformation,[],[f104]) ).
fof(f514,plain,
! [X0] :
( ~ element(sK4,sF19)
| ~ element(X0,sF19)
| in(X0,sF18)
| ~ related(sK3,sK4,X0) ),
inference(forward_demodulation,[],[f513,f183]) ).
fof(f513,plain,
! [X0] :
( ~ element(X0,sF19)
| in(X0,sF18)
| ~ related(sK3,sK4,X0)
| ~ element(sK4,the_carrier(sK3)) ),
inference(forward_demodulation,[],[f512,f183]) ).
fof(f512,plain,
! [X0] :
( in(X0,sF18)
| ~ related(sK3,sK4,X0)
| ~ element(X0,the_carrier(sK3))
| ~ element(sK4,the_carrier(sK3)) ),
inference(subsumption_resolution,[],[f511,f133]) ).
fof(f133,plain,
~ empty_carrier(sK2),
inference(cnf_transformation,[],[f104]) ).
fof(f511,plain,
! [X0] :
( in(X0,sF18)
| ~ related(sK3,sK4,X0)
| ~ element(X0,the_carrier(sK3))
| ~ element(sK4,the_carrier(sK3))
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f510,f134]) ).
fof(f134,plain,
one_sorted_str(sK2),
inference(cnf_transformation,[],[f104]) ).
fof(f510,plain,
! [X0] :
( in(X0,sF18)
| ~ related(sK3,sK4,X0)
| ~ element(X0,the_carrier(sK3))
| ~ element(sK4,the_carrier(sK3))
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f509,f135]) ).
fof(f135,plain,
~ empty_carrier(sK3),
inference(cnf_transformation,[],[f104]) ).
fof(f509,plain,
! [X0] :
( in(X0,sF18)
| ~ related(sK3,sK4,X0)
| ~ element(X0,the_carrier(sK3))
| ~ element(sK4,the_carrier(sK3))
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f506,f136]) ).
fof(f136,plain,
net_str(sK3,sK2),
inference(cnf_transformation,[],[f104]) ).
fof(f506,plain,
! [X0] :
( in(X0,sF18)
| ~ related(sK3,sK4,X0)
| ~ element(X0,the_carrier(sK3))
| ~ element(sK4,the_carrier(sK3))
| ~ net_str(sK3,sK2)
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(superposition,[],[f178,f181]) ).
fof(f178,plain,
! [X2,X3,X1,X4] :
( in(X4,a_3_0_waybel_9(X1,X2,X3))
| ~ related(X2,X3,X4)
| ~ element(X4,the_carrier(X2))
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(equality_resolution,[],[f169]) ).
fof(f169,plain,
! [X2,X3,X0,X1,X4] :
( in(X0,a_3_0_waybel_9(X1,X2,X3))
| ~ related(X2,X3,X4)
| X0 != X4
| ~ element(X4,the_carrier(X2))
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1,X2,X3] :
( ( ( in(X0,a_3_0_waybel_9(X1,X2,X3))
| ! [X4] :
( ~ related(X2,X3,X4)
| X0 != X4
| ~ element(X4,the_carrier(X2)) ) )
& ( ( related(X2,X3,sK14(X0,X2,X3))
& sK14(X0,X2,X3) = X0
& element(sK14(X0,X2,X3),the_carrier(X2)) )
| ~ in(X0,a_3_0_waybel_9(X1,X2,X3)) ) )
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f128,f129]) ).
fof(f129,plain,
! [X0,X2,X3] :
( ? [X5] :
( related(X2,X3,X5)
& X0 = X5
& element(X5,the_carrier(X2)) )
=> ( related(X2,X3,sK14(X0,X2,X3))
& sK14(X0,X2,X3) = X0
& element(sK14(X0,X2,X3),the_carrier(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ( ( in(X0,a_3_0_waybel_9(X1,X2,X3))
| ! [X4] :
( ~ related(X2,X3,X4)
| X0 != X4
| ~ element(X4,the_carrier(X2)) ) )
& ( ? [X5] :
( related(X2,X3,X5)
& X0 = X5
& element(X5,the_carrier(X2)) )
| ~ in(X0,a_3_0_waybel_9(X1,X2,X3)) ) )
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2,X3] :
( ( ( in(X0,a_3_0_waybel_9(X1,X2,X3))
| ! [X4] :
( ~ related(X2,X3,X4)
| X0 != X4
| ~ element(X4,the_carrier(X2)) ) )
& ( ? [X4] :
( related(X2,X3,X4)
& X0 = X4
& element(X4,the_carrier(X2)) )
| ~ in(X0,a_3_0_waybel_9(X1,X2,X3)) ) )
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(nnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( ( in(X0,a_3_0_waybel_9(X1,X2,X3))
<=> ? [X4] :
( related(X2,X3,X4)
& X0 = X4
& element(X4,the_carrier(X2)) ) )
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( ( in(X0,a_3_0_waybel_9(X1,X2,X3))
<=> ? [X4] :
( related(X2,X3,X4)
& X0 = X4
& element(X4,the_carrier(X2)) ) )
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0,X1,X2,X3] :
( ( element(X3,the_carrier(X2))
& net_str(X2,X1)
& ~ empty_carrier(X2)
& one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ( in(X0,a_3_0_waybel_9(X1,X2,X3))
<=> ? [X4] :
( related(X2,X3,X4)
& X0 = X4
& element(X4,the_carrier(X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.irDewZtcog/Vampire---4.8_14898',fraenkel_a_3_0_waybel_9) ).
fof(f1713,plain,
( ~ in(sK5(sF18,sF17),sF18)
| ~ spl20_7 ),
inference(subsumption_resolution,[],[f1709,f182]) ).
fof(f1709,plain,
( sF17 = sF18
| ~ in(sK5(sF18,sF17),sF18)
| ~ spl20_7 ),
inference(resolution,[],[f1693,f141]) ).
fof(f141,plain,
! [X0,X1] :
( ~ in(sK5(X0,X1),X1)
| X0 = X1
| ~ in(sK5(X0,X1),X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f1693,plain,
( in(sK5(sF18,sF17),sF17)
| ~ spl20_7 ),
inference(resolution,[],[f1684,f688]) ).
fof(f1684,plain,
( ! [X0] :
( ~ in(X0,sF18)
| in(X0,sF17) )
| ~ spl20_7 ),
inference(subsumption_resolution,[],[f1676,f463]) ).
fof(f463,plain,
! [X0] :
( ~ in(X0,sF18)
| element(X0,sF19) ),
inference(subsumption_resolution,[],[f462,f133]) ).
fof(f462,plain,
! [X0] :
( ~ in(X0,sF18)
| element(X0,sF19)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f461,f134]) ).
fof(f461,plain,
! [X0] :
( ~ in(X0,sF18)
| element(X0,sF19)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f460,f136]) ).
fof(f460,plain,
! [X0] :
( ~ in(X0,sF18)
| element(X0,sF19)
| ~ net_str(sK3,sK2)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(duplicate_literal_removal,[],[f459]) ).
fof(f459,plain,
! [X0] :
( ~ in(X0,sF18)
| element(X0,sF19)
| ~ net_str(sK3,sK2)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| ~ in(X0,sF18) ),
inference(superposition,[],[f448,f181]) ).
fof(f448,plain,
! [X0,X1] :
( ~ in(X0,a_3_0_waybel_9(X1,sK3,sK4))
| element(X0,sF19)
| ~ net_str(sK3,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ in(X0,sF18) ),
inference(subsumption_resolution,[],[f447,f184]) ).
fof(f447,plain,
! [X0,X1] :
( ~ element(sK4,sF19)
| element(X0,sF19)
| ~ in(X0,a_3_0_waybel_9(X1,sK3,sK4))
| ~ net_str(sK3,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ in(X0,sF18) ),
inference(forward_demodulation,[],[f446,f183]) ).
fof(f446,plain,
! [X0,X1] :
( element(X0,sF19)
| ~ in(X0,a_3_0_waybel_9(X1,sK3,sK4))
| ~ element(sK4,the_carrier(sK3))
| ~ net_str(sK3,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ in(X0,sF18) ),
inference(forward_demodulation,[],[f445,f183]) ).
fof(f445,plain,
! [X0,X1] :
( element(X0,the_carrier(sK3))
| ~ in(X0,a_3_0_waybel_9(X1,sK3,sK4))
| ~ element(sK4,the_carrier(sK3))
| ~ net_str(sK3,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ in(X0,sF18) ),
inference(subsumption_resolution,[],[f442,f135]) ).
fof(f442,plain,
! [X0,X1] :
( element(X0,the_carrier(sK3))
| ~ in(X0,a_3_0_waybel_9(X1,sK3,sK4))
| ~ element(sK4,the_carrier(sK3))
| ~ net_str(sK3,X1)
| empty_carrier(sK3)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ in(X0,sF18) ),
inference(superposition,[],[f166,f436]) ).
fof(f436,plain,
! [X0] :
( sK14(X0,sK3,sK4) = X0
| ~ in(X0,sF18) ),
inference(subsumption_resolution,[],[f435,f184]) ).
fof(f435,plain,
! [X0] :
( ~ element(sK4,sF19)
| ~ in(X0,sF18)
| sK14(X0,sK3,sK4) = X0 ),
inference(forward_demodulation,[],[f434,f183]) ).
fof(f434,plain,
! [X0] :
( ~ in(X0,sF18)
| sK14(X0,sK3,sK4) = X0
| ~ element(sK4,the_carrier(sK3)) ),
inference(subsumption_resolution,[],[f433,f133]) ).
fof(f433,plain,
! [X0] :
( ~ in(X0,sF18)
| sK14(X0,sK3,sK4) = X0
| ~ element(sK4,the_carrier(sK3))
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f432,f134]) ).
fof(f432,plain,
! [X0] :
( ~ in(X0,sF18)
| sK14(X0,sK3,sK4) = X0
| ~ element(sK4,the_carrier(sK3))
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f431,f135]) ).
fof(f431,plain,
! [X0] :
( ~ in(X0,sF18)
| sK14(X0,sK3,sK4) = X0
| ~ element(sK4,the_carrier(sK3))
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f430,f136]) ).
fof(f430,plain,
! [X0] :
( ~ in(X0,sF18)
| sK14(X0,sK3,sK4) = X0
| ~ element(sK4,the_carrier(sK3))
| ~ net_str(sK3,sK2)
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(superposition,[],[f167,f181]) ).
fof(f167,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,a_3_0_waybel_9(X1,X2,X3))
| sK14(X0,X2,X3) = X0
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f166,plain,
! [X2,X3,X0,X1] :
( element(sK14(X0,X2,X3),the_carrier(X2))
| ~ in(X0,a_3_0_waybel_9(X1,X2,X3))
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f1676,plain,
( ! [X0] :
( ~ element(X0,sF19)
| in(X0,sF17)
| ~ in(X0,sF18) )
| ~ spl20_7 ),
inference(resolution,[],[f440,f606]) ).
fof(f606,plain,
! [X0] :
( related(sK3,sK4,X0)
| ~ in(X0,sF18) ),
inference(subsumption_resolution,[],[f605,f133]) ).
fof(f605,plain,
! [X0] :
( ~ in(X0,sF18)
| related(sK3,sK4,X0)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f604,f134]) ).
fof(f604,plain,
! [X0] :
( ~ in(X0,sF18)
| related(sK3,sK4,X0)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f602,f136]) ).
fof(f602,plain,
! [X0] :
( ~ in(X0,sF18)
| related(sK3,sK4,X0)
| ~ net_str(sK3,sK2)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(duplicate_literal_removal,[],[f601]) ).
fof(f601,plain,
! [X0] :
( ~ in(X0,sF18)
| related(sK3,sK4,X0)
| ~ net_str(sK3,sK2)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| ~ in(X0,sF18) ),
inference(superposition,[],[f499,f181]) ).
fof(f499,plain,
! [X0,X1] :
( ~ in(X0,a_3_0_waybel_9(X1,sK3,sK4))
| related(sK3,sK4,X0)
| ~ net_str(sK3,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ in(X0,sF18) ),
inference(subsumption_resolution,[],[f498,f184]) ).
fof(f498,plain,
! [X0,X1] :
( ~ element(sK4,sF19)
| related(sK3,sK4,X0)
| ~ in(X0,a_3_0_waybel_9(X1,sK3,sK4))
| ~ net_str(sK3,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ in(X0,sF18) ),
inference(forward_demodulation,[],[f497,f183]) ).
fof(f497,plain,
! [X0,X1] :
( related(sK3,sK4,X0)
| ~ in(X0,a_3_0_waybel_9(X1,sK3,sK4))
| ~ element(sK4,the_carrier(sK3))
| ~ net_str(sK3,X1)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ in(X0,sF18) ),
inference(subsumption_resolution,[],[f496,f135]) ).
fof(f496,plain,
! [X0,X1] :
( related(sK3,sK4,X0)
| ~ in(X0,a_3_0_waybel_9(X1,sK3,sK4))
| ~ element(sK4,the_carrier(sK3))
| ~ net_str(sK3,X1)
| empty_carrier(sK3)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ in(X0,sF18) ),
inference(superposition,[],[f168,f436]) ).
fof(f168,plain,
! [X2,X3,X0,X1] :
( related(X2,X3,sK14(X0,X2,X3))
| ~ in(X0,a_3_0_waybel_9(X1,X2,X3))
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f440,plain,
( ! [X0] :
( ~ related(sK3,sK4,X0)
| ~ element(X0,sF19)
| in(X0,sF17) )
| ~ spl20_7 ),
inference(forward_demodulation,[],[f439,f180]) ).
fof(f439,plain,
( ! [X0] :
( ~ element(X0,sF19)
| ~ related(sK3,sK4,X0)
| in(X0,the_carrier(sF16)) )
| ~ spl20_7 ),
inference(forward_demodulation,[],[f438,f183]) ).
fof(f438,plain,
( ! [X0] :
( ~ related(sK3,sK4,X0)
| ~ element(X0,the_carrier(sK3))
| in(X0,the_carrier(sF16)) )
| ~ spl20_7 ),
inference(resolution,[],[f331,f177]) ).
fof(f177,plain,
! [X2,X3,X0,X1,X8] :
( ~ sP0(X0,X1,X2,X3)
| ~ related(X1,X3,X8)
| ~ element(X8,the_carrier(X1))
| in(X8,the_carrier(X0)) ),
inference(equality_resolution,[],[f158]) ).
fof(f158,plain,
! [X2,X3,X0,X1,X8,X7] :
( in(X7,the_carrier(X0))
| ~ related(X1,X3,X8)
| X7 != X8
| ~ element(X8,the_carrier(X1))
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f126]) ).
fof(f422,plain,
spl20_8,
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f421,plain,
( $false
| spl20_8 ),
inference(subsumption_resolution,[],[f420,f184]) ).
fof(f420,plain,
( ~ element(sK4,sF19)
| spl20_8 ),
inference(forward_demodulation,[],[f419,f183]) ).
fof(f419,plain,
( ~ element(sK4,the_carrier(sK3))
| spl20_8 ),
inference(subsumption_resolution,[],[f418,f133]) ).
fof(f418,plain,
( ~ element(sK4,the_carrier(sK3))
| empty_carrier(sK2)
| spl20_8 ),
inference(subsumption_resolution,[],[f417,f134]) ).
fof(f417,plain,
( ~ element(sK4,the_carrier(sK3))
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| spl20_8 ),
inference(subsumption_resolution,[],[f416,f135]) ).
fof(f416,plain,
( ~ element(sK4,the_carrier(sK3))
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| spl20_8 ),
inference(subsumption_resolution,[],[f415,f136]) ).
fof(f415,plain,
( ~ element(sK4,the_carrier(sK3))
| ~ net_str(sK3,sK2)
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| spl20_8 ),
inference(subsumption_resolution,[],[f414,f359]) ).
fof(f359,plain,
strict_net_str(sF16,sK2),
inference(subsumption_resolution,[],[f358,f184]) ).
fof(f358,plain,
( ~ element(sK4,sF19)
| strict_net_str(sF16,sK2) ),
inference(forward_demodulation,[],[f357,f183]) ).
fof(f357,plain,
( strict_net_str(sF16,sK2)
| ~ element(sK4,the_carrier(sK3)) ),
inference(subsumption_resolution,[],[f356,f133]) ).
fof(f356,plain,
( strict_net_str(sF16,sK2)
| ~ element(sK4,the_carrier(sK3))
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f355,f134]) ).
fof(f355,plain,
( strict_net_str(sF16,sK2)
| ~ element(sK4,the_carrier(sK3))
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f354,f135]) ).
fof(f354,plain,
( strict_net_str(sF16,sK2)
| ~ element(sK4,the_carrier(sK3))
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f352,f136]) ).
fof(f352,plain,
( strict_net_str(sF16,sK2)
| ~ element(sK4,the_carrier(sK3))
| ~ net_str(sK3,sK2)
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(superposition,[],[f151,f179]) ).
fof(f151,plain,
! [X2,X0,X1] :
( strict_net_str(netstr_restr_to_element(X0,X1,X2),X0)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( net_str(netstr_restr_to_element(X0,X1,X2),X0)
& strict_net_str(netstr_restr_to_element(X0,X1,X2),X0) )
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( net_str(netstr_restr_to_element(X0,X1,X2),X0)
& strict_net_str(netstr_restr_to_element(X0,X1,X2),X0) )
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X1))
& net_str(X1,X0)
& ~ empty_carrier(X1)
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ( net_str(netstr_restr_to_element(X0,X1,X2),X0)
& strict_net_str(netstr_restr_to_element(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.irDewZtcog/Vampire---4.8_14898',dt_k5_waybel_9) ).
fof(f414,plain,
( ~ strict_net_str(sF16,sK2)
| ~ element(sK4,the_carrier(sK3))
| ~ net_str(sK3,sK2)
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| spl20_8 ),
inference(subsumption_resolution,[],[f406,f375]) ).
fof(f375,plain,
net_str(sF16,sK2),
inference(subsumption_resolution,[],[f374,f184]) ).
fof(f374,plain,
( ~ element(sK4,sF19)
| net_str(sF16,sK2) ),
inference(forward_demodulation,[],[f373,f183]) ).
fof(f373,plain,
( net_str(sF16,sK2)
| ~ element(sK4,the_carrier(sK3)) ),
inference(subsumption_resolution,[],[f372,f133]) ).
fof(f372,plain,
( net_str(sF16,sK2)
| ~ element(sK4,the_carrier(sK3))
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f371,f134]) ).
fof(f371,plain,
( net_str(sF16,sK2)
| ~ element(sK4,the_carrier(sK3))
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f370,f135]) ).
fof(f370,plain,
( net_str(sF16,sK2)
| ~ element(sK4,the_carrier(sK3))
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f368,f136]) ).
fof(f368,plain,
( net_str(sF16,sK2)
| ~ element(sK4,the_carrier(sK3))
| ~ net_str(sK3,sK2)
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(superposition,[],[f152,f179]) ).
fof(f152,plain,
! [X2,X0,X1] :
( net_str(netstr_restr_to_element(X0,X1,X2),X0)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f406,plain,
( ~ net_str(sF16,sK2)
| ~ strict_net_str(sF16,sK2)
| ~ element(sK4,the_carrier(sK3))
| ~ net_str(sK3,sK2)
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| spl20_8 ),
inference(resolution,[],[f165,f335]) ).
fof(f335,plain,
( ~ sP1(sK4,sK2,sK3,sF16)
| spl20_8 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f333,plain,
( spl20_8
<=> sP1(sK4,sK2,sK3,sF16) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).
fof(f165,plain,
! [X2,X3,X0,X1] :
( sP1(X2,X0,X1,X3)
| ~ net_str(X3,X0)
| ~ strict_net_str(X3,X0)
| ~ element(X2,the_carrier(X1))
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( sP1(X2,X0,X1,X3)
| ~ net_str(X3,X0)
| ~ strict_net_str(X3,X0) )
| ~ element(X2,the_carrier(X1)) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(definition_folding,[],[f89,f99,f98]) ).
fof(f99,plain,
! [X2,X0,X1,X3] :
( ( netstr_restr_to_element(X0,X1,X2) = X3
<=> sP0(X3,X1,X0,X2) )
| ~ sP1(X2,X0,X1,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( netstr_restr_to_element(X0,X1,X2) = X3
<=> ( the_mapping(X0,X3) = partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3))
& the_InternalRel(X3) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
& ! [X4] :
( in(X4,the_carrier(X3))
<=> ? [X5] :
( related(X1,X2,X5)
& X4 = X5
& element(X5,the_carrier(X1)) ) ) ) )
| ~ net_str(X3,X0)
| ~ strict_net_str(X3,X0) )
| ~ element(X2,the_carrier(X1)) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( netstr_restr_to_element(X0,X1,X2) = X3
<=> ( the_mapping(X0,X3) = partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3))
& the_InternalRel(X3) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
& ! [X4] :
( in(X4,the_carrier(X3))
<=> ? [X5] :
( related(X1,X2,X5)
& X4 = X5
& element(X5,the_carrier(X1)) ) ) ) )
| ~ net_str(X3,X0)
| ~ strict_net_str(X3,X0) )
| ~ element(X2,the_carrier(X1)) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( ( net_str(X3,X0)
& strict_net_str(X3,X0) )
=> ( netstr_restr_to_element(X0,X1,X2) = X3
<=> ( the_mapping(X0,X3) = partfun_dom_restriction(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X3))
& the_InternalRel(X3) = relation_restriction_as_relation_of(the_InternalRel(X1),the_carrier(X3))
& ! [X4] :
( in(X4,the_carrier(X3))
<=> ? [X5] :
( related(X1,X2,X5)
& X4 = X5
& element(X5,the_carrier(X1)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.irDewZtcog/Vampire---4.8_14898',d7_waybel_9) ).
fof(f336,plain,
( spl20_7
| ~ spl20_8 ),
inference(avatar_split_clause,[],[f325,f333,f329]) ).
fof(f325,plain,
( ~ sP1(sK4,sK2,sK3,sF16)
| sP0(sF16,sK3,sK2,sK4) ),
inference(superposition,[],[f175,f179]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2,netstr_restr_to_element(X1,X2,X0))
| sP0(netstr_restr_to_element(X1,X2,X0),X2,X1,X0) ),
inference(equality_resolution,[],[f153]) ).
fof(f153,plain,
! [X2,X3,X0,X1] :
( sP0(X3,X2,X1,X0)
| netstr_restr_to_element(X1,X2,X0) != X3
| ~ sP1(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( ( ( netstr_restr_to_element(X1,X2,X0) = X3
| ~ sP0(X3,X2,X1,X0) )
& ( sP0(X3,X2,X1,X0)
| netstr_restr_to_element(X1,X2,X0) != X3 ) )
| ~ sP1(X0,X1,X2,X3) ),
inference(rectify,[],[f118]) ).
fof(f118,plain,
! [X2,X0,X1,X3] :
( ( ( netstr_restr_to_element(X0,X1,X2) = X3
| ~ sP0(X3,X1,X0,X2) )
& ( sP0(X3,X1,X0,X2)
| netstr_restr_to_element(X0,X1,X2) != X3 ) )
| ~ sP1(X2,X0,X1,X3) ),
inference(nnf_transformation,[],[f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU384+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n007.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 16:01:18 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.irDewZtcog/Vampire---4.8_14898
% 0.59/0.77 % (15158)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.77 % (15154)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.77 % (15156)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.77 % (15157)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.77 % (15155)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.59/0.77 % (15159)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.77 % (15161)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.77 % (15160)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.59/0.77 % (15157)Refutation not found, incomplete strategy% (15157)------------------------------
% 0.59/0.77 % (15157)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77 % (15157)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77
% 0.59/0.77 % (15157)Memory used [KB]: 1108
% 0.59/0.77 % (15157)Time elapsed: 0.004 s
% 0.59/0.77 % (15157)Instructions burned: 4 (million)
% 0.59/0.77 % (15157)------------------------------
% 0.59/0.77 % (15157)------------------------------
% 0.59/0.77 % (15159)Refutation not found, incomplete strategy% (15159)------------------------------
% 0.59/0.77 % (15159)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77 % (15159)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77
% 0.59/0.77 % (15159)Memory used [KB]: 1153
% 0.59/0.77 % (15159)Time elapsed: 0.005 s
% 0.59/0.77 % (15159)Instructions burned: 7 (million)
% 0.59/0.77 % (15159)------------------------------
% 0.59/0.77 % (15159)------------------------------
% 0.59/0.77 % (15162)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.77 % (15163)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.78 % (15158)Instruction limit reached!
% 0.59/0.78 % (15158)------------------------------
% 0.59/0.78 % (15158)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78 % (15158)Termination reason: Unknown
% 0.59/0.78 % (15158)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (15158)Memory used [KB]: 1643
% 0.59/0.78 % (15158)Time elapsed: 0.014 s
% 0.59/0.78 % (15158)Instructions burned: 34 (million)
% 0.59/0.78 % (15158)------------------------------
% 0.59/0.78 % (15158)------------------------------
% 0.59/0.78 % (15164)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.59/0.78 % (15154)Instruction limit reached!
% 0.59/0.78 % (15154)------------------------------
% 0.59/0.78 % (15154)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78 % (15154)Termination reason: Unknown
% 0.59/0.78 % (15154)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (15154)Memory used [KB]: 1393
% 0.59/0.78 % (15154)Time elapsed: 0.021 s
% 0.59/0.78 % (15154)Instructions burned: 35 (million)
% 0.59/0.78 % (15154)------------------------------
% 0.59/0.78 % (15154)------------------------------
% 0.59/0.79 % (15165)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.66/0.80 % (15161)Instruction limit reached!
% 0.66/0.80 % (15161)------------------------------
% 0.66/0.80 % (15161)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.80 % (15161)Termination reason: Unknown
% 0.66/0.80 % (15161)Termination phase: Saturation
% 0.66/0.80
% 0.66/0.80 % (15161)Memory used [KB]: 1805
% 0.66/0.80 % (15161)Time elapsed: 0.032 s
% 0.66/0.80 % (15161)Instructions burned: 57 (million)
% 0.66/0.80 % (15161)------------------------------
% 0.66/0.80 % (15161)------------------------------
% 0.66/0.80 % (15155)Instruction limit reached!
% 0.66/0.80 % (15155)------------------------------
% 0.66/0.80 % (15155)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.80 % (15155)Termination reason: Unknown
% 0.66/0.80 % (15155)Termination phase: Saturation
% 0.66/0.80
% 0.66/0.80 % (15155)Memory used [KB]: 1633
% 0.66/0.80 % (15155)Time elapsed: 0.034 s
% 0.66/0.80 % (15155)Instructions burned: 52 (million)
% 0.66/0.80 % (15155)------------------------------
% 0.66/0.80 % (15155)------------------------------
% 0.66/0.80 % (15166)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.66/0.80 % (15163)Instruction limit reached!
% 0.66/0.80 % (15163)------------------------------
% 0.66/0.80 % (15163)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.80 % (15163)Termination reason: Unknown
% 0.66/0.80 % (15163)Termination phase: Saturation
% 0.66/0.80
% 0.66/0.80 % (15163)Memory used [KB]: 1728
% 0.66/0.80 % (15163)Time elapsed: 0.028 s
% 0.66/0.80 % (15163)Instructions burned: 51 (million)
% 0.66/0.80 % (15163)------------------------------
% 0.66/0.80 % (15163)------------------------------
% 0.66/0.80 % (15167)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.66/0.80 % (15162)Instruction limit reached!
% 0.66/0.80 % (15162)------------------------------
% 0.66/0.80 % (15162)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.80 % (15162)Termination reason: Unknown
% 0.66/0.80 % (15162)Termination phase: Saturation
% 0.66/0.80
% 0.66/0.80 % (15162)Memory used [KB]: 2054
% 0.66/0.80 % (15162)Time elapsed: 0.032 s
% 0.66/0.80 % (15162)Instructions burned: 55 (million)
% 0.66/0.80 % (15162)------------------------------
% 0.66/0.80 % (15162)------------------------------
% 0.66/0.81 % (15168)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.66/0.81 % (15156)Instruction limit reached!
% 0.66/0.81 % (15156)------------------------------
% 0.66/0.81 % (15156)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.81 % (15156)Termination reason: Unknown
% 0.66/0.81 % (15156)Termination phase: Saturation
% 0.66/0.81
% 0.66/0.81 % (15156)Memory used [KB]: 1526
% 0.66/0.81 % (15156)Time elapsed: 0.042 s
% 0.66/0.81 % (15156)Instructions burned: 80 (million)
% 0.66/0.81 % (15156)------------------------------
% 0.66/0.81 % (15156)------------------------------
% 0.66/0.81 % (15166)Refutation not found, incomplete strategy% (15166)------------------------------
% 0.66/0.81 % (15166)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.81 % (15166)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.81
% 0.66/0.81 % (15166)Memory used [KB]: 1209
% 0.66/0.81 % (15166)Time elapsed: 0.008 s
% 0.66/0.81 % (15166)Instructions burned: 10 (million)
% 0.66/0.81 % (15166)------------------------------
% 0.66/0.81 % (15166)------------------------------
% 0.66/0.81 % (15169)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.66/0.81 % (15170)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.66/0.81 % (15171)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.66/0.81 % (15164)First to succeed.
% 0.66/0.81 % (15160)Instruction limit reached!
% 0.66/0.81 % (15160)------------------------------
% 0.66/0.81 % (15160)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.81 % (15160)Termination reason: Unknown
% 0.66/0.81 % (15160)Termination phase: Saturation
% 0.66/0.81
% 0.66/0.81 % (15160)Memory used [KB]: 2059
% 0.66/0.81 % (15160)Time elapsed: 0.047 s
% 0.66/0.81 % (15160)Instructions burned: 83 (million)
% 0.66/0.81 % (15160)------------------------------
% 0.66/0.81 % (15160)------------------------------
% 0.66/0.81 % (15164)Refutation found. Thanks to Tanya!
% 0.66/0.81 % SZS status Theorem for Vampire---4
% 0.66/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.82 % (15164)------------------------------
% 0.66/0.82 % (15164)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82 % (15164)Termination reason: Refutation
% 0.66/0.82
% 0.66/0.82 % (15164)Memory used [KB]: 1564
% 0.66/0.82 % (15164)Time elapsed: 0.034 s
% 0.66/0.82 % (15164)Instructions burned: 95 (million)
% 0.66/0.82 % (15164)------------------------------
% 0.66/0.82 % (15164)------------------------------
% 0.66/0.82 % (15150)Success in time 0.435 s
% 0.66/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------