TSTP Solution File: SEU384+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU384+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 : Thu Aug 31 17:06:47 EDT 2023
% Result : Theorem 126.47s 17.83s
% Output : CNFRefutation 126.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of formulae : 131 ( 17 unt; 0 def)
% Number of atoms : 725 ( 151 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 962 ( 368 ~; 417 |; 142 &)
% ( 13 <=>; 21 =>; 0 <=; 1 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-4 aty)
% Number of variables : 355 ( 7 sgn; 199 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',d7_waybel_9) ).
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/sandbox2/benchmark/theBenchmark.p',dt_k5_waybel_9) ).
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/sandbox2/benchmark/theBenchmark.p',fraenkel_a_3_0_waybel_9) ).
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/sandbox2/benchmark/theBenchmark.p',t12_waybel_9) ).
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(f69,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(f98,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(f99,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,[],[f98]) ).
fof(f106,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(f107,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,[],[f106]) ).
fof(f126,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(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)) ) )
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(flattening,[],[f126]) ).
fof(f138,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(f139,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,[],[f138]) ).
fof(f143,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f150,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(f151,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(f152,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,[],[f99,f151,f150]) ).
fof(f159,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,[],[f151]) ).
fof(f160,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,[],[f159]) ).
fof(f161,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,[],[f150]) ).
fof(f162,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,[],[f161]) ).
fof(f163,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,[],[f162]) ).
fof(f164,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)
| sK3(X0,X1,X3) != X5
| ~ element(X5,the_carrier(X1)) )
| ~ in(sK3(X0,X1,X3),the_carrier(X0)) )
& ( ? [X6] :
( related(X1,X3,X6)
& sK3(X0,X1,X3) = X6
& element(X6,the_carrier(X1)) )
| in(sK3(X0,X1,X3),the_carrier(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
! [X0,X1,X3] :
( ? [X6] :
( related(X1,X3,X6)
& sK3(X0,X1,X3) = X6
& element(X6,the_carrier(X1)) )
=> ( related(X1,X3,sK4(X0,X1,X3))
& sK3(X0,X1,X3) = sK4(X0,X1,X3)
& element(sK4(X0,X1,X3),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
! [X1,X3,X7] :
( ? [X9] :
( related(X1,X3,X9)
& X7 = X9
& element(X9,the_carrier(X1)) )
=> ( related(X1,X3,sK5(X1,X3,X7))
& sK5(X1,X3,X7) = X7
& element(sK5(X1,X3,X7),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f167,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)
| sK3(X0,X1,X3) != X5
| ~ element(X5,the_carrier(X1)) )
| ~ in(sK3(X0,X1,X3),the_carrier(X0)) )
& ( ( related(X1,X3,sK4(X0,X1,X3))
& sK3(X0,X1,X3) = sK4(X0,X1,X3)
& element(sK4(X0,X1,X3),the_carrier(X1)) )
| in(sK3(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,sK5(X1,X3,X7))
& sK5(X1,X3,X7) = X7
& element(sK5(X1,X3,X7),the_carrier(X1)) )
| ~ in(X7,the_carrier(X0)) ) ) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f163,f166,f165,f164]) ).
fof(f180,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,[],[f127]) ).
fof(f181,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,[],[f180]) ).
fof(f182,plain,
! [X0,X2,X3] :
( ? [X5] :
( related(X2,X3,X5)
& X0 = X5
& element(X5,the_carrier(X2)) )
=> ( related(X2,X3,sK12(X0,X2,X3))
& sK12(X0,X2,X3) = X0
& element(sK12(X0,X2,X3),the_carrier(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f183,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,sK12(X0,X2,X3))
& sK12(X0,X2,X3) = X0
& element(sK12(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,[sK12])],[f181,f182]) ).
fof(f209,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(sK25,X1,X2)) != a_3_0_waybel_9(sK25,X1,X2)
& element(X2,the_carrier(X1)) )
& net_str(X1,sK25)
& ~ empty_carrier(X1) )
& one_sorted_str(sK25)
& ~ empty_carrier(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f210,plain,
( ? [X1] :
( ? [X2] :
( the_carrier(netstr_restr_to_element(sK25,X1,X2)) != a_3_0_waybel_9(sK25,X1,X2)
& element(X2,the_carrier(X1)) )
& net_str(X1,sK25)
& ~ empty_carrier(X1) )
=> ( ? [X2] :
( the_carrier(netstr_restr_to_element(sK25,sK26,X2)) != a_3_0_waybel_9(sK25,sK26,X2)
& element(X2,the_carrier(sK26)) )
& net_str(sK26,sK25)
& ~ empty_carrier(sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f211,plain,
( ? [X2] :
( the_carrier(netstr_restr_to_element(sK25,sK26,X2)) != a_3_0_waybel_9(sK25,sK26,X2)
& element(X2,the_carrier(sK26)) )
=> ( the_carrier(netstr_restr_to_element(sK25,sK26,sK27)) != a_3_0_waybel_9(sK25,sK26,sK27)
& element(sK27,the_carrier(sK26)) ) ),
introduced(choice_axiom,[]) ).
fof(f212,plain,
( the_carrier(netstr_restr_to_element(sK25,sK26,sK27)) != a_3_0_waybel_9(sK25,sK26,sK27)
& element(sK27,the_carrier(sK26))
& net_str(sK26,sK25)
& ~ empty_carrier(sK26)
& one_sorted_str(sK25)
& ~ empty_carrier(sK25) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26,sK27])],[f139,f211,f210,f209]) ).
fof(f213,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f143]) ).
fof(f214,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) )
=> ( ( ~ in(sK28(X0,X1),X1)
| ~ in(sK28(X0,X1),X0) )
& ( in(sK28(X0,X1),X1)
| in(sK28(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f215,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK28(X0,X1),X1)
| ~ in(sK28(X0,X1),X0) )
& ( in(sK28(X0,X1),X1)
| in(sK28(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f213,f214]) ).
fof(f243,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,[],[f160]) ).
fof(f245,plain,
! [X2,X3,X0,X1,X7] :
( element(sK5(X1,X3,X7),the_carrier(X1))
| ~ in(X7,the_carrier(X0))
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f246,plain,
! [X2,X3,X0,X1,X7] :
( sK5(X1,X3,X7) = X7
| ~ in(X7,the_carrier(X0))
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f247,plain,
! [X2,X3,X0,X1,X7] :
( related(X1,X3,sK5(X1,X3,X7))
| ~ in(X7,the_carrier(X0))
| ~ sP0(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f248,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,[],[f167]) ).
fof(f255,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,[],[f152]) ).
fof(f262,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,[],[f107]) ).
fof(f263,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,[],[f107]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( element(sK12(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,[],[f183]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( sK12(X0,X2,X3) = X0
| ~ 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,[],[f183]) ).
fof(f295,plain,
! [X2,X3,X0,X1] :
( related(X2,X3,sK12(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,[],[f183]) ).
fof(f296,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,[],[f183]) ).
fof(f333,plain,
~ empty_carrier(sK25),
inference(cnf_transformation,[],[f212]) ).
fof(f334,plain,
one_sorted_str(sK25),
inference(cnf_transformation,[],[f212]) ).
fof(f335,plain,
~ empty_carrier(sK26),
inference(cnf_transformation,[],[f212]) ).
fof(f336,plain,
net_str(sK26,sK25),
inference(cnf_transformation,[],[f212]) ).
fof(f337,plain,
element(sK27,the_carrier(sK26)),
inference(cnf_transformation,[],[f212]) ).
fof(f338,plain,
the_carrier(netstr_restr_to_element(sK25,sK26,sK27)) != a_3_0_waybel_9(sK25,sK26,sK27),
inference(cnf_transformation,[],[f212]) ).
fof(f341,plain,
! [X0,X1] :
( X0 = X1
| in(sK28(X0,X1),X1)
| in(sK28(X0,X1),X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f342,plain,
! [X0,X1] :
( X0 = X1
| ~ in(sK28(X0,X1),X1)
| ~ in(sK28(X0,X1),X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f352,plain,
! [X2,X0,X1] :
( sP0(netstr_restr_to_element(X1,X2,X0),X2,X1,X0)
| ~ sP1(X0,X1,X2,netstr_restr_to_element(X1,X2,X0)) ),
inference(equality_resolution,[],[f243]) ).
fof(f354,plain,
! [X2,X3,X0,X1,X8] :
( in(X8,the_carrier(X0))
| ~ related(X1,X3,X8)
| ~ element(X8,the_carrier(X1))
| ~ sP0(X0,X1,X2,X3) ),
inference(equality_resolution,[],[f248]) ).
fof(f355,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,[],[f296]) ).
cnf(c_69,plain,
( ~ sP1(X0,X1,X2,netstr_restr_to_element(X1,X2,X0))
| sP0(netstr_restr_to_element(X1,X2,X0),X2,X1,X0) ),
inference(cnf_transformation,[],[f352]) ).
cnf(c_76,plain,
( ~ sP0(X0,X1,X2,X3)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1))
| in(X4,the_carrier(X0)) ),
inference(cnf_transformation,[],[f354]) ).
cnf(c_77,plain,
( ~ sP0(X0,X1,X2,X3)
| ~ in(X4,the_carrier(X0))
| related(X1,X3,sK5(X1,X3,X4)) ),
inference(cnf_transformation,[],[f247]) ).
cnf(c_78,plain,
( ~ sP0(X0,X1,X2,X3)
| ~ in(X4,the_carrier(X0))
| sK5(X1,X3,X4) = X4 ),
inference(cnf_transformation,[],[f246]) ).
cnf(c_79,plain,
( ~ sP0(X0,X1,X2,X3)
| ~ in(X4,the_carrier(X0))
| element(sK5(X1,X3,X4),the_carrier(X1)) ),
inference(cnf_transformation,[],[f245]) ).
cnf(c_80,plain,
( ~ element(X0,the_carrier(X1))
| ~ strict_net_str(X2,X3)
| ~ net_str(X1,X3)
| ~ net_str(X2,X3)
| ~ one_sorted_str(X3)
| sP1(X0,X3,X1,X2)
| empty_carrier(X1)
| empty_carrier(X3) ),
inference(cnf_transformation,[],[f255]) ).
cnf(c_87,plain,
( ~ element(X0,the_carrier(X1))
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2)
| net_str(netstr_restr_to_element(X2,X1,X0),X2)
| empty_carrier(X1)
| empty_carrier(X2) ),
inference(cnf_transformation,[],[f263]) ).
cnf(c_88,plain,
( ~ element(X0,the_carrier(X1))
| ~ net_str(X1,X2)
| ~ one_sorted_str(X2)
| strict_net_str(netstr_restr_to_element(X2,X1,X0),X2)
| empty_carrier(X1)
| empty_carrier(X2) ),
inference(cnf_transformation,[],[f262]) ).
cnf(c_118,plain,
( ~ related(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ net_str(X0,X3)
| ~ one_sorted_str(X3)
| in(X2,a_3_0_waybel_9(X3,X0,X1))
| empty_carrier(X0)
| empty_carrier(X3) ),
inference(cnf_transformation,[],[f355]) ).
cnf(c_119,plain,
( ~ in(X0,a_3_0_waybel_9(X1,X2,X3))
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| related(X2,X3,sK12(X0,X2,X3))
| empty_carrier(X1)
| empty_carrier(X2) ),
inference(cnf_transformation,[],[f295]) ).
cnf(c_120,plain,
( ~ in(X0,a_3_0_waybel_9(X1,X2,X3))
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| sK12(X0,X2,X3) = X0
| empty_carrier(X1)
| empty_carrier(X2) ),
inference(cnf_transformation,[],[f294]) ).
cnf(c_121,plain,
( ~ in(X0,a_3_0_waybel_9(X1,X2,X3))
| ~ element(X3,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1)
| element(sK12(X0,X2,X3),the_carrier(X2))
| empty_carrier(X1)
| empty_carrier(X2) ),
inference(cnf_transformation,[],[f293]) ).
cnf(c_158,negated_conjecture,
the_carrier(netstr_restr_to_element(sK25,sK26,sK27)) != a_3_0_waybel_9(sK25,sK26,sK27),
inference(cnf_transformation,[],[f338]) ).
cnf(c_159,negated_conjecture,
element(sK27,the_carrier(sK26)),
inference(cnf_transformation,[],[f337]) ).
cnf(c_160,negated_conjecture,
net_str(sK26,sK25),
inference(cnf_transformation,[],[f336]) ).
cnf(c_161,negated_conjecture,
~ empty_carrier(sK26),
inference(cnf_transformation,[],[f335]) ).
cnf(c_162,negated_conjecture,
one_sorted_str(sK25),
inference(cnf_transformation,[],[f334]) ).
cnf(c_163,negated_conjecture,
~ empty_carrier(sK25),
inference(cnf_transformation,[],[f333]) ).
cnf(c_166,plain,
( ~ in(sK28(X0,X1),X0)
| ~ in(sK28(X0,X1),X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f342]) ).
cnf(c_167,plain,
( X0 = X1
| in(sK28(X0,X1),X0)
| in(sK28(X0,X1),X1) ),
inference(cnf_transformation,[],[f341]) ).
cnf(c_10967,plain,
X0 = X0,
theory(equality) ).
cnf(c_10969,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_10975,plain,
( X0 != X1
| X2 != X3
| ~ in(X1,X3)
| in(X0,X2) ),
theory(equality) ).
cnf(c_10982,plain,
( X0 != X1
| X2 != X3
| ~ element(X1,X3)
| element(X0,X2) ),
theory(equality) ).
cnf(c_10988,plain,
( X0 != X1
| ~ related(X2,X3,X1)
| related(X2,X3,X0) ),
theory(equality) ).
cnf(c_13228,plain,
( the_carrier(netstr_restr_to_element(sK25,sK26,sK27)) = a_3_0_waybel_9(sK25,sK26,sK27)
| in(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),the_carrier(netstr_restr_to_element(sK25,sK26,sK27)))
| in(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)) ),
inference(instantiation,[status(thm)],[c_167]) ).
cnf(c_13259,plain,
( ~ element(sK27,the_carrier(sK26))
| ~ net_str(sK26,X0)
| ~ one_sorted_str(X0)
| net_str(netstr_restr_to_element(X0,sK26,sK27),X0)
| empty_carrier(X0)
| empty_carrier(sK26) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_13260,plain,
( ~ element(sK27,the_carrier(sK26))
| ~ net_str(sK26,sK25)
| ~ one_sorted_str(sK25)
| net_str(netstr_restr_to_element(sK25,sK26,sK27),sK25)
| empty_carrier(sK25)
| empty_carrier(sK26) ),
inference(instantiation,[status(thm)],[c_13259]) ).
cnf(c_13266,plain,
( ~ element(sK27,the_carrier(sK26))
| ~ net_str(sK26,X0)
| ~ one_sorted_str(X0)
| strict_net_str(netstr_restr_to_element(X0,sK26,sK27),X0)
| empty_carrier(X0)
| empty_carrier(sK26) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_13267,plain,
( ~ element(sK27,the_carrier(sK26))
| ~ net_str(sK26,sK25)
| ~ one_sorted_str(sK25)
| strict_net_str(netstr_restr_to_element(sK25,sK26,sK27),sK25)
| empty_carrier(sK25)
| empty_carrier(sK26) ),
inference(instantiation,[status(thm)],[c_13266]) ).
cnf(c_13759,plain,
( ~ in(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),the_carrier(netstr_restr_to_element(sK25,sK26,sK27)))
| ~ sP0(netstr_restr_to_element(sK25,sK26,sK27),X0,X1,X2)
| related(X0,X2,sK5(X0,X2,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)))) ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_13760,plain,
( ~ in(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),the_carrier(netstr_restr_to_element(sK25,sK26,sK27)))
| ~ sP0(netstr_restr_to_element(sK25,sK26,sK27),X0,X1,X2)
| element(sK5(X0,X2,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))),the_carrier(X0)) ),
inference(instantiation,[status(thm)],[c_79]) ).
cnf(c_13761,plain,
( ~ in(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),the_carrier(netstr_restr_to_element(sK25,sK26,sK27)))
| ~ sP0(netstr_restr_to_element(sK25,sK26,sK27),X0,X1,X2)
| sK5(X0,X2,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))) = sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_13874,plain,
( ~ strict_net_str(netstr_restr_to_element(X0,sK26,sK27),X0)
| ~ net_str(netstr_restr_to_element(X0,sK26,sK27),X0)
| ~ element(X1,the_carrier(X2))
| ~ net_str(X2,X0)
| ~ one_sorted_str(X0)
| sP1(X1,X0,X2,netstr_restr_to_element(X0,sK26,sK27))
| empty_carrier(X0)
| empty_carrier(X2) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_15868,plain,
( ~ in(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))
| ~ element(sK27,the_carrier(sK26))
| ~ net_str(sK26,sK25)
| ~ one_sorted_str(sK25)
| related(sK26,sK27,sK12(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),sK26,sK27))
| empty_carrier(sK25)
| empty_carrier(sK26) ),
inference(instantiation,[status(thm)],[c_119]) ).
cnf(c_15869,plain,
( ~ in(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))
| ~ element(sK27,the_carrier(sK26))
| ~ net_str(sK26,sK25)
| ~ one_sorted_str(sK25)
| element(sK12(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),sK26,sK27),the_carrier(sK26))
| empty_carrier(sK25)
| empty_carrier(sK26) ),
inference(instantiation,[status(thm)],[c_121]) ).
cnf(c_15870,plain,
( ~ in(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))
| ~ element(sK27,the_carrier(sK26))
| ~ net_str(sK26,sK25)
| ~ one_sorted_str(sK25)
| sK12(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),sK26,sK27) = sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))
| empty_carrier(sK25)
| empty_carrier(sK26) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_15871,plain,
( ~ in(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),the_carrier(netstr_restr_to_element(sK25,sK26,sK27)))
| ~ in(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))
| the_carrier(netstr_restr_to_element(sK25,sK26,sK27)) = a_3_0_waybel_9(sK25,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_166]) ).
cnf(c_16003,plain,
the_carrier(sK26) = the_carrier(sK26),
inference(instantiation,[status(thm)],[c_10967]) ).
cnf(c_17714,plain,
( ~ strict_net_str(netstr_restr_to_element(X0,sK26,sK27),X0)
| ~ net_str(netstr_restr_to_element(X0,sK26,sK27),X0)
| ~ element(sK27,the_carrier(sK26))
| ~ net_str(sK26,X0)
| ~ one_sorted_str(X0)
| sP1(sK27,X0,sK26,netstr_restr_to_element(X0,sK26,sK27))
| empty_carrier(X0)
| empty_carrier(sK26) ),
inference(instantiation,[status(thm)],[c_13874]) ).
cnf(c_17715,plain,
( ~ strict_net_str(netstr_restr_to_element(sK25,sK26,sK27),sK25)
| ~ net_str(netstr_restr_to_element(sK25,sK26,sK27),sK25)
| ~ element(sK27,the_carrier(sK26))
| ~ net_str(sK26,sK25)
| ~ one_sorted_str(sK25)
| sP1(sK27,sK25,sK26,netstr_restr_to_element(sK25,sK26,sK27))
| empty_carrier(sK25)
| empty_carrier(sK26) ),
inference(instantiation,[status(thm)],[c_17714]) ).
cnf(c_24676,plain,
( ~ sP1(sK27,X0,sK26,netstr_restr_to_element(X0,sK26,sK27))
| sP0(netstr_restr_to_element(X0,sK26,sK27),sK26,X0,sK27) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_24677,plain,
( ~ sP1(sK27,sK25,sK26,netstr_restr_to_element(sK25,sK26,sK27))
| sP0(netstr_restr_to_element(sK25,sK26,sK27),sK26,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_24676]) ).
cnf(c_25021,plain,
a_3_0_waybel_9(sK25,sK26,sK27) = a_3_0_waybel_9(sK25,sK26,sK27),
inference(instantiation,[status(thm)],[c_10967]) ).
cnf(c_35124,plain,
( ~ in(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),the_carrier(netstr_restr_to_element(sK25,sK26,sK27)))
| ~ sP0(netstr_restr_to_element(sK25,sK26,sK27),sK26,sK25,sK27)
| related(sK26,sK27,sK5(sK26,sK27,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)))) ),
inference(instantiation,[status(thm)],[c_13759]) ).
cnf(c_35125,plain,
( ~ in(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),the_carrier(netstr_restr_to_element(sK25,sK26,sK27)))
| ~ sP0(netstr_restr_to_element(sK25,sK26,sK27),sK26,sK25,sK27)
| element(sK5(sK26,sK27,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))),the_carrier(sK26)) ),
inference(instantiation,[status(thm)],[c_13760]) ).
cnf(c_35126,plain,
( ~ in(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),the_carrier(netstr_restr_to_element(sK25,sK26,sK27)))
| ~ sP0(netstr_restr_to_element(sK25,sK26,sK27),sK26,sK25,sK27)
| sK5(sK26,sK27,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))) = sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)) ),
inference(instantiation,[status(thm)],[c_13761]) ).
cnf(c_41293,plain,
sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)) = sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),
inference(instantiation,[status(thm)],[c_10967]) ).
cnf(c_43762,plain,
( ~ element(sK5(sK26,sK27,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))),the_carrier(sK26))
| ~ related(sK26,sK27,sK5(sK26,sK27,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))))
| ~ element(sK27,the_carrier(sK26))
| ~ net_str(sK26,X0)
| ~ one_sorted_str(X0)
| in(sK5(sK26,sK27,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))),a_3_0_waybel_9(X0,sK26,sK27))
| empty_carrier(X0)
| empty_carrier(sK26) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_43763,plain,
( ~ element(sK5(sK26,sK27,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))),the_carrier(sK26))
| ~ related(sK26,sK27,sK5(sK26,sK27,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))))
| ~ element(sK27,the_carrier(sK26))
| ~ net_str(sK26,sK25)
| ~ one_sorted_str(sK25)
| in(sK5(sK26,sK27,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))),a_3_0_waybel_9(sK25,sK26,sK27))
| empty_carrier(sK25)
| empty_carrier(sK26) ),
inference(instantiation,[status(thm)],[c_43762]) ).
cnf(c_76803,plain,
( sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)) != X0
| X1 != X0
| sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)) = X1 ),
inference(instantiation,[status(thm)],[c_10969]) ).
cnf(c_81403,plain,
( sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)) != sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))
| X0 != sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))
| sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)) = X0 ),
inference(instantiation,[status(thm)],[c_76803]) ).
cnf(c_83891,plain,
( sK5(sK26,sK27,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))) != sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))
| sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)) != sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))
| sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)) = sK5(sK26,sK27,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))) ),
inference(instantiation,[status(thm)],[c_81403]) ).
cnf(c_173668,plain,
( ~ sP0(netstr_restr_to_element(sK25,sK26,X0),sK26,sK25,X0)
| ~ related(sK26,X0,X1)
| ~ element(X1,the_carrier(sK26))
| in(X1,the_carrier(netstr_restr_to_element(sK25,sK26,X0))) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_174821,plain,
( X0 != sK12(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,X1)),sK26,X1)
| X2 != the_carrier(sK26)
| ~ element(sK12(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,X1)),sK26,X1),the_carrier(sK26))
| element(X0,X2) ),
inference(instantiation,[status(thm)],[c_10982]) ).
cnf(c_174831,plain,
( X0 != X1
| ~ related(sK26,X2,X1)
| related(sK26,X2,X0) ),
inference(instantiation,[status(thm)],[c_10988]) ).
cnf(c_175371,plain,
( X0 != X1
| X2 != a_3_0_waybel_9(sK25,sK26,X3)
| ~ in(X1,a_3_0_waybel_9(sK25,sK26,X3))
| in(X0,X2) ),
inference(instantiation,[status(thm)],[c_10975]) ).
cnf(c_175820,plain,
( ~ element(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),X0),the_carrier(sK26))
| ~ related(sK26,sK27,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),X0))
| ~ sP0(netstr_restr_to_element(sK25,sK26,sK27),sK26,sK25,sK27)
| in(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),X0),the_carrier(netstr_restr_to_element(sK25,sK26,sK27))) ),
inference(instantiation,[status(thm)],[c_173668]) ).
cnf(c_178621,plain,
( X0 != sK12(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,X1)),sK26,X1)
| ~ related(sK26,X1,sK12(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,X1)),sK26,X1))
| related(sK26,X1,X0) ),
inference(instantiation,[status(thm)],[c_174831]) ).
cnf(c_178779,plain,
( sK12(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,X0)),sK26,X0) != X1
| X2 != X1
| X2 = sK12(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,X0)),sK26,X0) ),
inference(instantiation,[status(thm)],[c_10969]) ).
cnf(c_179204,plain,
( a_3_0_waybel_9(sK25,sK26,X0) != a_3_0_waybel_9(sK25,sK26,X0)
| X1 != X2
| ~ in(X2,a_3_0_waybel_9(sK25,sK26,X0))
| in(X1,a_3_0_waybel_9(sK25,sK26,X0)) ),
inference(instantiation,[status(thm)],[c_175371]) ).
cnf(c_184134,plain,
( sK12(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,X0)),sK26,X0) != sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,X0))
| X1 != sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,X0))
| X1 = sK12(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,X0)),sK26,X0) ),
inference(instantiation,[status(thm)],[c_178779]) ).
cnf(c_186960,plain,
( sK12(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),sK26,sK27) != sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))
| sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)) != sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))
| sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)) = sK12(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),sK26,sK27) ),
inference(instantiation,[status(thm)],[c_184134]) ).
cnf(c_187058,plain,
( a_3_0_waybel_9(sK25,sK26,sK27) != a_3_0_waybel_9(sK25,sK26,sK27)
| X0 != sK5(sK26,sK27,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)))
| ~ in(sK5(sK26,sK27,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))),a_3_0_waybel_9(sK25,sK26,sK27))
| in(X0,a_3_0_waybel_9(sK25,sK26,sK27)) ),
inference(instantiation,[status(thm)],[c_179204]) ).
cnf(c_193248,plain,
( sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)) != sK5(sK26,sK27,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)))
| a_3_0_waybel_9(sK25,sK26,sK27) != a_3_0_waybel_9(sK25,sK26,sK27)
| ~ in(sK5(sK26,sK27,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))),a_3_0_waybel_9(sK25,sK26,sK27))
| in(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)) ),
inference(instantiation,[status(thm)],[c_187058]) ).
cnf(c_196947,plain,
( sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)) != sK12(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),sK26,sK27)
| ~ related(sK26,sK27,sK12(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),sK26,sK27))
| related(sK26,sK27,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27))) ),
inference(instantiation,[status(thm)],[c_178621]) ).
cnf(c_196948,plain,
( sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)) != sK12(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),sK26,sK27)
| X0 != the_carrier(sK26)
| ~ element(sK12(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),sK26,sK27),the_carrier(sK26))
| element(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),X0) ),
inference(instantiation,[status(thm)],[c_174821]) ).
cnf(c_200042,plain,
( ~ element(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),the_carrier(sK26))
| ~ related(sK26,sK27,sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)))
| ~ sP0(netstr_restr_to_element(sK25,sK26,sK27),sK26,sK25,sK27)
| in(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),the_carrier(netstr_restr_to_element(sK25,sK26,sK27))) ),
inference(instantiation,[status(thm)],[c_175820]) ).
cnf(c_200282,plain,
( sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)) != sK12(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),sK26,sK27)
| the_carrier(sK26) != the_carrier(sK26)
| ~ element(sK12(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),sK26,sK27),the_carrier(sK26))
| element(sK28(the_carrier(netstr_restr_to_element(sK25,sK26,sK27)),a_3_0_waybel_9(sK25,sK26,sK27)),the_carrier(sK26)) ),
inference(instantiation,[status(thm)],[c_196948]) ).
cnf(c_200283,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_200282,c_200042,c_196947,c_193248,c_186960,c_83891,c_43763,c_41293,c_35124,c_35125,c_35126,c_25021,c_24677,c_17715,c_16003,c_15871,c_15868,c_15869,c_15870,c_13267,c_13260,c_13228,c_158,c_159,c_160,c_161,c_163,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU384+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 14:16:16 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 126.47/17.83 % SZS status Started for theBenchmark.p
% 126.47/17.83 % SZS status Theorem for theBenchmark.p
% 126.47/17.83
% 126.47/17.83 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 126.47/17.83
% 126.47/17.83 ------ iProver source info
% 126.47/17.83
% 126.47/17.83 git: date: 2023-05-31 18:12:56 +0000
% 126.47/17.83 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 126.47/17.83 git: non_committed_changes: false
% 126.47/17.83 git: last_make_outside_of_git: false
% 126.47/17.83
% 126.47/17.83 ------ Parsing...
% 126.47/17.83 ------ Clausification by vclausify_rel & Parsing by iProver...
% 126.47/17.83
% 126.47/17.83 ------ Preprocessing... sup_sim: 0 sf_s rm: 17 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e
% 126.47/17.83
% 126.47/17.83 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 126.47/17.83
% 126.47/17.83 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 126.47/17.83 ------ Proving...
% 126.47/17.83 ------ Problem Properties
% 126.47/17.83
% 126.47/17.83
% 126.47/17.83 clauses 105
% 126.47/17.83 conjectures 6
% 126.47/17.83 EPR 36
% 126.47/17.83 Horn 86
% 126.47/17.83 unary 30
% 126.47/17.83 binary 29
% 126.47/17.83 lits 297
% 126.47/17.83 lits eq 31
% 126.47/17.83 fd_pure 0
% 126.47/17.83 fd_pseudo 0
% 126.47/17.83 fd_cond 1
% 126.47/17.83 fd_pseudo_cond 9
% 126.47/17.83 AC symbols 0
% 126.47/17.83
% 126.47/17.83 ------ Input Options Time Limit: Unbounded
% 126.47/17.83
% 126.47/17.83
% 126.47/17.83 ------
% 126.47/17.83 Current options:
% 126.47/17.83 ------
% 126.47/17.83
% 126.47/17.83
% 126.47/17.83
% 126.47/17.83
% 126.47/17.83 ------ Proving...
% 126.47/17.83
% 126.47/17.83
% 126.47/17.83 % SZS status Theorem for theBenchmark.p
% 126.47/17.83
% 126.47/17.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 126.47/17.83
% 126.47/17.83
%------------------------------------------------------------------------------