%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU399+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:48:43 PM UTC 2026
% Result : Theorem 17.32s 3.07s
% Output : Refutation 17.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 33
% Syntax : Number of formulae : 283 ( 44 unt; 25 def)
% Number of atoms : 1223 ( 261 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 1539 ( 599 ~; 665 |; 239 &)
% ( 18 <=>; 16 =>; 0 <=; 2 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 27 ( 25 usr; 11 prp; 0-4 aty)
% Number of functors : 30 ( 30 usr; 5 con; 0-4 aty)
% Number of variables : 344 ( 3 sgn 245 !; 99 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f325,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f326,axiom,
! [X0] :
( top_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f328,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(f386,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f656,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X3] :
( ! [X4,X5,X6] :
( ( X4 = X5
& ? [X7] :
( netstr_induced_subset(X7,X0,X1)
& ? [X8] :
( element(X8,the_carrier(X1))
& X3 = topstr_closure(X0,X7)
& X5 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) ) )
& X4 = X6
& ? [X9] :
( netstr_induced_subset(X9,X0,X1)
& ? [X10] :
( element(X10,the_carrier(X1))
& X3 = topstr_closure(X0,X9)
& X6 = X10
& X9 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) ) ) )
=> X5 = X6 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( in(X6,the_carrier(X1))
& X6 = X5
& ? [X11] :
( netstr_induced_subset(X11,X0,X1)
& ? [X12] :
( element(X12,the_carrier(X1))
& X3 = topstr_closure(X0,X11)
& X5 = X12
& X11 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X12)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X12))) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e6_39_3__yellow19__1) ).
fof(f670,conjecture,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X3] :
? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,the_carrier(X1))
& ? [X6] :
( netstr_induced_subset(X6,X0,X1)
& ? [X7] :
( element(X7,the_carrier(X1))
& X3 = topstr_closure(X0,X6)
& X5 = X7
& X6 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e6_39_3__yellow19__1) ).
fof(f671,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X3] :
? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,the_carrier(X1))
& ? [X6] :
( netstr_induced_subset(X6,X0,X1)
& ? [X7] :
( element(X7,the_carrier(X1))
& X3 = topstr_closure(X0,X6)
& X5 = X7
& X6 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f670]) ).
fof(f746,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f792,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f963,plain,
! [X0,X1] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X3] :
( ! [X4,X5,X6] :
( ( X4 = X5
& ? [X7] :
( netstr_induced_subset(X7,X0,X1)
& ? [X8] :
( element(X8,the_carrier(X1))
& X3 = topstr_closure(X0,X7)
& X5 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) ) )
& X4 = X6
& ? [X9] :
( netstr_induced_subset(X9,X0,X1)
& ? [X10] :
( element(X10,the_carrier(X1))
& X3 = topstr_closure(X0,X9)
& X6 = X10
& X9 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) ) ) )
=> X5 = X6 )
=> ? [X11] :
! [X12] :
( in(X12,X11)
<=> ? [X13] :
( in(X13,the_carrier(X1))
& X12 = X13
& ? [X14] :
( netstr_induced_subset(X14,X0,X1)
& ? [X15] :
( element(X15,the_carrier(X1))
& topstr_closure(X0,X14) = X3
& X12 = X15
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X15)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X15))) = X14 ) ) ) ) ) ),
inference(rectify,[],[f656]) ).
fof(f965,plain,
~ ! [X0,X1] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X3] :
? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,the_carrier(X1))
& ? [X6] :
( netstr_induced_subset(X6,X0,X1)
& ? [X7] :
( element(X7,the_carrier(X1))
& X3 = topstr_closure(X0,X6)
& X5 = X7
& X6 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) ) ) ) ) ),
inference(rectify,[],[f671]) ).
fof(f1439,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f325]) ).
fof(f1440,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f326]) ).
fof(f1441,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f328]) ).
fof(f1503,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f386]) ).
fof(f1504,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f1503]) ).
fof(f1817,plain,
! [X0,X1] :
( ! [X3] :
( ? [X11] :
! [X12] :
( in(X12,X11)
<=> ? [X13] :
( in(X13,the_carrier(X1))
& X12 = X13
& ? [X14] :
( netstr_induced_subset(X14,X0,X1)
& ? [X15] :
( element(X15,the_carrier(X1))
& topstr_closure(X0,X14) = X3
& X12 = X15
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X15)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X15))) = X14 ) ) ) )
| ? [X4,X5,X6] :
( X5 != X6
& X4 = X5
& ? [X7] :
( netstr_induced_subset(X7,X0,X1)
& ? [X8] :
( element(X8,the_carrier(X1))
& X3 = topstr_closure(X0,X7)
& X5 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) ) )
& X4 = X6
& ? [X9] :
( netstr_induced_subset(X9,X0,X1)
& ? [X10] :
( element(X10,the_carrier(X1))
& X3 = topstr_closure(X0,X9)
& X6 = X10
& X9 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) ) ) ) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(ennf_transformation,[],[f963]) ).
fof(f1818,plain,
! [X0,X1] :
( ! [X3] :
( ? [X11] :
! [X12] :
( in(X12,X11)
<=> ? [X13] :
( in(X13,the_carrier(X1))
& X12 = X13
& ? [X14] :
( netstr_induced_subset(X14,X0,X1)
& ? [X15] :
( element(X15,the_carrier(X1))
& topstr_closure(X0,X14) = X3
& X12 = X15
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X15)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X15))) = X14 ) ) ) )
| ? [X4,X5,X6] :
( X5 != X6
& X4 = X5
& ? [X7] :
( netstr_induced_subset(X7,X0,X1)
& ? [X8] :
( element(X8,the_carrier(X1))
& X3 = topstr_closure(X0,X7)
& X5 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) ) )
& X4 = X6
& ? [X9] :
( netstr_induced_subset(X9,X0,X1)
& ? [X10] :
( element(X10,the_carrier(X1))
& X3 = topstr_closure(X0,X9)
& X6 = X10
& X9 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) ) ) ) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(flattening,[],[f1817]) ).
fof(f1841,plain,
? [X0,X1] :
( ? [X3] :
! [X4] :
? [X5] :
( in(X5,X4)
<~> ( in(X5,the_carrier(X1))
& ? [X6] :
( netstr_induced_subset(X6,X0,X1)
& ? [X7] :
( element(X7,the_carrier(X1))
& X3 = topstr_closure(X0,X6)
& X5 = X7
& X6 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) ) ) ) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) ),
inference(ennf_transformation,[],[f965]) ).
fof(f1842,plain,
? [X0,X1] :
( ? [X3] :
! [X4] :
? [X5] :
( in(X5,X4)
<~> ( in(X5,the_carrier(X1))
& ? [X6] :
( netstr_induced_subset(X6,X0,X1)
& ? [X7] :
( element(X7,the_carrier(X1))
& X3 = topstr_closure(X0,X6)
& X5 = X7
& X6 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) ) ) ) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) ),
inference(flattening,[],[f1841]) ).
fof(f1947,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f746]) ).
fof(f2020,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f792]) ).
fof(f2021,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f2020]) ).
fof(f2308,definition,
! [X1,X0,X3,X6] :
( ? [X9] :
( netstr_induced_subset(X9,X0,X1)
& ? [X10] :
( element(X10,the_carrier(X1))
& X3 = topstr_closure(X0,X9)
& X6 = X10
& X9 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) ) )
| ~ sP66(X1,X0,X3,X6) ),
introduced(definition,[new_symbols(definition,[sP66])],[predicate_definition_introduction]) ).
fof(f2309,definition,
! [X1,X0,X3,X5] :
( ? [X7] :
( netstr_induced_subset(X7,X0,X1)
& ? [X8] :
( element(X8,the_carrier(X1))
& X3 = topstr_closure(X0,X7)
& X5 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) ) )
| ~ sP67(X1,X0,X3,X5) ),
introduced(definition,[new_symbols(definition,[sP67])],[predicate_definition_introduction]) ).
fof(f2310,definition,
! [X1,X0,X3] :
( ? [X11] :
! [X12] :
( in(X12,X11)
<=> ? [X13] :
( in(X13,the_carrier(X1))
& X12 = X13
& ? [X14] :
( netstr_induced_subset(X14,X0,X1)
& ? [X15] :
( element(X15,the_carrier(X1))
& topstr_closure(X0,X14) = X3
& X12 = X15
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X15)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X15))) = X14 ) ) ) )
| ~ sP68(X1,X0,X3) ),
introduced(definition,[new_symbols(definition,[sP68])],[predicate_definition_introduction]) ).
fof(f2311,plain,
! [X0,X1] :
( ! [X3] :
( sP68(X1,X0,X3)
| ? [X4,X5,X6] :
( X5 != X6
& X4 = X5
& sP67(X1,X0,X3,X5)
& X4 = X6
& sP66(X1,X0,X3,X6) ) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(definition_folding,[],[f1818,f2310,f2309,f2308]) ).
fof(f2982,plain,
! [X1,X0,X3] :
( ? [X11] :
! [X12] :
( ( in(X12,X11)
| ! [X13] :
( ~ in(X13,the_carrier(X1))
| X12 != X13
| ! [X14] :
( ~ netstr_induced_subset(X14,X0,X1)
| ! [X15] :
( ~ element(X15,the_carrier(X1))
| topstr_closure(X0,X14) != X3
| X12 != X15
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X15)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X15))) != X14 ) ) ) )
& ( ? [X13] :
( in(X13,the_carrier(X1))
& X12 = X13
& ? [X14] :
( netstr_induced_subset(X14,X0,X1)
& ? [X15] :
( element(X15,the_carrier(X1))
& topstr_closure(X0,X14) = X3
& X12 = X15
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X15)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X15))) = X14 ) ) )
| ~ in(X12,X11) ) )
| ~ sP68(X1,X0,X3) ),
inference(nnf_transformation,[],[f2310]) ).
fof(f2983,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ! [X5] :
( ~ in(X5,the_carrier(X0))
| X4 != X5
| ! [X6] :
( ~ netstr_induced_subset(X6,X1,X0)
| ! [X7] :
( ~ element(X7,the_carrier(X0))
| topstr_closure(X1,X6) != X2
| X4 != X7
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))) != X6 ) ) ) )
& ( ? [X8] :
( in(X8,the_carrier(X0))
& X4 = X8
& ? [X9] :
( netstr_induced_subset(X9,X1,X0)
& ? [X10] :
( element(X10,the_carrier(X0))
& topstr_closure(X1,X9) = X2
& X4 = X10
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X10)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X10))) = X9 ) ) )
| ~ in(X4,X3) ) )
| ~ sP68(X0,X1,X2) ),
inference(rectify,[],[f2982]) ).
fof(f2984,plain,
! [X0,X1,X2] :
( ! [X4] :
( ( in(X4,sK534(X0,X1,X2))
| ! [X5] :
( ~ in(X5,the_carrier(X0))
| X4 != X5
| ! [X6] :
( ~ netstr_induced_subset(X6,X1,X0)
| ! [X7] :
( ~ element(X7,the_carrier(X0))
| topstr_closure(X1,X6) != X2
| X4 != X7
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))) != X6 ) ) ) )
& ( ( in(sK535(X0,X1,X2,X4),the_carrier(X0))
& sK535(X0,X1,X2,X4) = X4
& netstr_induced_subset(sK536(X0,X1,X2,X4),X1,X0)
& element(sK537(X0,X1,X2,X4),the_carrier(X0))
& topstr_closure(X1,sK536(X0,X1,X2,X4)) = X2
& sK537(X0,X1,X2,X4) = X4
& sK536(X0,X1,X2,X4) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,sK537(X0,X1,X2,X4))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,sK537(X0,X1,X2,X4)))) )
| ~ in(X4,sK534(X0,X1,X2)) ) )
| ~ sP68(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK534,sK535,sK536,sK537]),skolemize(X3,sK534(X0,X1,X2)),skolemize(X8,sK535(X0,X1,X2,X4)),skolemize(X9,sK536(X0,X1,X2,X4)),skolemize(X10,sK537(X0,X1,X2,X4))],[f2983]) ).
fof(f2991,plain,
! [X0,X1] :
( ! [X2] :
( sP68(X1,X0,X2)
| ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& sP67(X1,X0,X2,X4)
& X3 = X5
& sP66(X1,X0,X2,X5) ) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(rectify,[],[f2311]) ).
fof(f2992,plain,
! [X0,X1] :
( ! [X2] :
( sP68(X1,X0,X2)
| ( sK543(X0,X1,X2) != sK544(X0,X1,X2)
& sK542(X0,X1,X2) = sK543(X0,X1,X2)
& sP67(X1,X0,X2,sK543(X0,X1,X2))
& sK542(X0,X1,X2) = sK544(X0,X1,X2)
& sP66(X1,X0,X2,sK544(X0,X1,X2)) ) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK542,sK543,sK544]),skolemize(X3,sK542(X0,X1,X2)),skolemize(X4,sK543(X0,X1,X2)),skolemize(X5,sK544(X0,X1,X2))],[f2991]) ).
fof(f3049,plain,
? [X0,X1] :
( ? [X3] :
! [X4] :
? [X5] :
( ( ~ in(X5,the_carrier(X1))
| ! [X6] :
( ~ netstr_induced_subset(X6,X0,X1)
| ! [X7] :
( ~ element(X7,the_carrier(X1))
| topstr_closure(X0,X6) != X3
| X5 != X7
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) != X6 ) )
| ~ in(X5,X4) )
& ( ( in(X5,the_carrier(X1))
& ? [X6] :
( netstr_induced_subset(X6,X0,X1)
& ? [X7] :
( element(X7,the_carrier(X1))
& X3 = topstr_closure(X0,X6)
& X5 = X7
& X6 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) ) ) )
| in(X5,X4) ) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) ),
inference(nnf_transformation,[],[f1842]) ).
fof(f3050,plain,
? [X0,X1] :
( ? [X3] :
! [X4] :
? [X5] :
( ( ~ in(X5,the_carrier(X1))
| ! [X6] :
( ~ netstr_induced_subset(X6,X0,X1)
| ! [X7] :
( ~ element(X7,the_carrier(X1))
| topstr_closure(X0,X6) != X3
| X5 != X7
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) != X6 ) )
| ~ in(X5,X4) )
& ( ( in(X5,the_carrier(X1))
& ? [X6] :
( netstr_induced_subset(X6,X0,X1)
& ? [X7] :
( element(X7,the_carrier(X1))
& X3 = topstr_closure(X0,X6)
& X5 = X7
& X6 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) ) ) )
| in(X5,X4) ) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) ),
inference(flattening,[],[f3049]) ).
fof(f3051,plain,
? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,the_carrier(X1))
| ! [X5] :
( ~ netstr_induced_subset(X5,X0,X1)
| ! [X6] :
( ~ element(X6,the_carrier(X1))
| topstr_closure(X0,X5) != X2
| X4 != X6
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X6)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X6))) != X5 ) )
| ~ in(X4,X3) )
& ( ( in(X4,the_carrier(X1))
& ? [X7] :
( netstr_induced_subset(X7,X0,X1)
& ? [X8] :
( element(X8,the_carrier(X1))
& topstr_closure(X0,X7) = X2
& X4 = X8
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) = X7 ) ) )
| in(X4,X3) ) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) ),
inference(rectify,[],[f3050]) ).
fof(f3052,plain,
( ! [X3] :
( ( ~ in(sK590(X3),the_carrier(sK588))
| ! [X5] :
( ~ netstr_induced_subset(X5,sK587,sK588)
| ! [X6] :
( ~ element(X6,the_carrier(sK588))
| sK589 != topstr_closure(sK587,X5)
| sK590(X3) != X6
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK587,sK588,X6)),the_carrier(sK587),the_mapping(sK587,subnetstr_of_element(sK587,sK588,X6))) != X5 ) )
| ~ in(sK590(X3),X3) )
& ( ( in(sK590(X3),the_carrier(sK588))
& netstr_induced_subset(sK591(X3),sK587,sK588)
& element(sK592(X3),the_carrier(sK588))
& sK589 = topstr_closure(sK587,sK591(X3))
& sK590(X3) = sK592(X3)
& sK591(X3) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK587,sK588,sK592(X3))),the_carrier(sK587),the_mapping(sK587,subnetstr_of_element(sK587,sK588,sK592(X3)))) )
| in(sK590(X3),X3) ) )
& ~ empty_carrier(sK587)
& topological_space(sK587)
& top_str(sK587)
& ~ empty_carrier(sK588)
& transitive_relstr(sK588)
& directed_relstr(sK588)
& net_str(sK588,sK587) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK587,sK588,sK589,sK590,sK591,sK592]),skolemize(X0,sK587),skolemize(X1,sK588),skolemize(X2,sK589),skolemize(X4,sK590(X3)),skolemize(X7,sK591(X3)),skolemize(X8,sK592(X3))],[f3051]) ).
fof(f4238,plain,
! [X0] :
( ~ rel_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1439]) ).
fof(f4239,plain,
! [X0] :
( ~ top_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1440]) ).
fof(f4240,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| rel_str(X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1441]) ).
fof(f4353,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1504]) ).
fof(f5655,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK534(X0,X1,X2))
| sK536(X0,X1,X2,X4) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,sK537(X0,X1,X2,X4))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,sK537(X0,X1,X2,X4))))
| ~ sP68(X0,X1,X2) ),
inference(cnf_transformation,[],[f2984]) ).
fof(f5656,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK534(X0,X1,X2))
| sK537(X0,X1,X2,X4) = X4
| ~ sP68(X0,X1,X2) ),
inference(cnf_transformation,[],[f2984]) ).
fof(f5657,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,sK534(X0,X1,X2))
| topstr_closure(X1,sK536(X0,X1,X2,X4)) = X2
| ~ sP68(X0,X1,X2) ),
inference(cnf_transformation,[],[f2984]) ).
fof(f5658,plain,
! [X2,X0,X1,X4] :
( element(sK537(X0,X1,X2,X4),the_carrier(X0))
| ~ in(X4,sK534(X0,X1,X2))
| ~ sP68(X0,X1,X2) ),
inference(cnf_transformation,[],[f2984]) ).
fof(f5659,plain,
! [X2,X0,X1,X4] :
( netstr_induced_subset(sK536(X0,X1,X2,X4),X1,X0)
| ~ in(X4,sK534(X0,X1,X2))
| ~ sP68(X0,X1,X2) ),
inference(cnf_transformation,[],[f2984]) ).
fof(f5662,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( in(X4,sK534(X0,X1,X2))
| ~ in(X5,the_carrier(X0))
| X4 != X5
| ~ netstr_induced_subset(X6,X1,X0)
| ~ element(X7,the_carrier(X0))
| topstr_closure(X1,X6) != X2
| X4 != X7
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))) != X6
| ~ sP68(X0,X1,X2) ),
inference(cnf_transformation,[],[f2984]) ).
fof(f5674,plain,
! [X2,X0,X1] :
( sP68(X1,X0,X2)
| sK542(X0,X1,X2) = sK544(X0,X1,X2)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f2992]) ).
fof(f5676,plain,
! [X2,X0,X1] :
( sP68(X1,X0,X2)
| sK542(X0,X1,X2) = sK543(X0,X1,X2)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f2992]) ).
fof(f5677,plain,
! [X2,X0,X1] :
( sK543(X0,X1,X2) != sK544(X0,X1,X2)
| sP68(X1,X0,X2)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f2992]) ).
fof(f5764,plain,
net_str(sK588,sK587),
inference(cnf_transformation,[],[f3052]) ).
fof(f5765,plain,
directed_relstr(sK588),
inference(cnf_transformation,[],[f3052]) ).
fof(f5766,plain,
transitive_relstr(sK588),
inference(cnf_transformation,[],[f3052]) ).
fof(f5767,plain,
~ empty_carrier(sK588),
inference(cnf_transformation,[],[f3052]) ).
fof(f5768,plain,
top_str(sK587),
inference(cnf_transformation,[],[f3052]) ).
fof(f5769,plain,
topological_space(sK587),
inference(cnf_transformation,[],[f3052]) ).
fof(f5770,plain,
~ empty_carrier(sK587),
inference(cnf_transformation,[],[f3052]) ).
fof(f5771,plain,
! [X3] :
( sK591(X3) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK587,sK588,sK592(X3))),the_carrier(sK587),the_mapping(sK587,subnetstr_of_element(sK587,sK588,sK592(X3))))
| in(sK590(X3),X3) ),
inference(cnf_transformation,[],[f3052]) ).
fof(f5772,plain,
! [X3] :
( in(sK590(X3),X3)
| sK590(X3) = sK592(X3) ),
inference(cnf_transformation,[],[f3052]) ).
fof(f5773,plain,
! [X3] :
( sK589 = topstr_closure(sK587,sK591(X3))
| in(sK590(X3),X3) ),
inference(cnf_transformation,[],[f3052]) ).
fof(f5775,plain,
! [X3] :
( netstr_induced_subset(sK591(X3),sK587,sK588)
| in(sK590(X3),X3) ),
inference(cnf_transformation,[],[f3052]) ).
fof(f5776,plain,
! [X3] :
( in(sK590(X3),the_carrier(sK588))
| in(sK590(X3),X3) ),
inference(cnf_transformation,[],[f3052]) ).
fof(f5777,plain,
! [X3,X6,X5] :
( ~ in(sK590(X3),the_carrier(sK588))
| ~ netstr_induced_subset(X5,sK587,sK588)
| ~ element(X6,the_carrier(sK588))
| sK589 != topstr_closure(sK587,X5)
| sK590(X3) != X6
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK587,sK588,X6)),the_carrier(sK587),the_mapping(sK587,subnetstr_of_element(sK587,sK588,X6))) != X5
| ~ in(sK590(X3),X3) ),
inference(cnf_transformation,[],[f3052]) ).
fof(f5980,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f1947]) ).
fof(f6065,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f2021]) ).
fof(f7522,plain,
! [X2,X0,X1,X6,X7,X5] :
( in(X5,sK534(X0,X1,X2))
| ~ in(X5,the_carrier(X0))
| ~ netstr_induced_subset(X6,X1,X0)
| ~ element(X7,the_carrier(X0))
| topstr_closure(X1,X6) != X2
| X5 != X7
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))) != X6
| ~ sP68(X0,X1,X2) ),
inference(equality_resolution,[],[f5662]) ).
fof(f7523,plain,
! [X0,X1,X6,X7,X5] :
( in(X5,sK534(X0,X1,topstr_closure(X1,X6)))
| ~ in(X5,the_carrier(X0))
| ~ netstr_induced_subset(X6,X1,X0)
| ~ element(X7,the_carrier(X0))
| X5 != X7
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))) != X6
| ~ sP68(X0,X1,topstr_closure(X1,X6)) ),
inference(equality_resolution,[],[f7522]) ).
fof(f7524,plain,
! [X0,X1,X6,X7] :
( in(X7,sK534(X0,X1,topstr_closure(X1,X6)))
| ~ in(X7,the_carrier(X0))
| ~ netstr_induced_subset(X6,X1,X0)
| ~ element(X7,the_carrier(X0))
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))) != X6
| ~ sP68(X0,X1,topstr_closure(X1,X6)) ),
inference(equality_resolution,[],[f7523]) ).
fof(f7525,plain,
! [X0,X1,X7] :
( in(X7,sK534(X0,X1,topstr_closure(X1,relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))))))
| ~ in(X7,the_carrier(X0))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))),X1,X0)
| ~ element(X7,the_carrier(X0))
| ~ sP68(X0,X1,topstr_closure(X1,relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))))) ),
inference(equality_resolution,[],[f7524]) ).
fof(f7552,plain,
! [X3,X5] :
( ~ in(sK590(X3),the_carrier(sK588))
| ~ netstr_induced_subset(X5,sK587,sK588)
| ~ element(sK590(X3),the_carrier(sK588))
| sK589 != topstr_closure(sK587,X5)
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK587,sK588,sK590(X3))),the_carrier(sK587),the_mapping(sK587,subnetstr_of_element(sK587,sK588,sK590(X3)))) != X5
| ~ in(sK590(X3),X3) ),
inference(equality_resolution,[],[f5777]) ).
fof(f7553,plain,
! [X3] :
( ~ in(sK590(X3),the_carrier(sK588))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK587,sK588,sK590(X3))),the_carrier(sK587),the_mapping(sK587,subnetstr_of_element(sK587,sK588,sK590(X3)))),sK587,sK588)
| ~ element(sK590(X3),the_carrier(sK588))
| sK589 != topstr_closure(sK587,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK587,sK588,sK590(X3))),the_carrier(sK587),the_mapping(sK587,subnetstr_of_element(sK587,sK588,sK590(X3)))))
| ~ in(sK590(X3),X3) ),
inference(equality_resolution,[],[f7552]) ).
fof(f7608,definition,
sF678 = the_carrier(sK588),
introduced(definition,[new_symbols(definition,[sF678])],[function_definition]) ).
fof(f7609,plain,
the_carrier(sK588) = sF678,
inference(reorient_equations,[],[f7608]) ).
fof(f7610,definition,
! [X3] : sF679(X3) = subnetstr_of_element(sK587,sK588,sK590(X3)),
introduced(definition,[new_symbols(definition,[sF679])],[function_definition]) ).
fof(f7611,plain,
! [X3] : subnetstr_of_element(sK587,sK588,sK590(X3)) = sF679(X3),
inference(reorient_equations,[],[f7610]) ).
fof(f7612,definition,
! [X3] : sF680(X3) = the_carrier(sF679(X3)),
introduced(definition,[new_symbols(definition,[sF680])],[function_definition]) ).
fof(f7613,plain,
! [X3] : the_carrier(sF679(X3)) = sF680(X3),
inference(reorient_equations,[],[f7612]) ).
fof(f7614,definition,
sF681 = the_carrier(sK587),
introduced(definition,[new_symbols(definition,[sF681])],[function_definition]) ).
fof(f7615,plain,
the_carrier(sK587) = sF681,
inference(reorient_equations,[],[f7614]) ).
fof(f7616,definition,
! [X3] : sF682(X3) = the_mapping(sK587,sF679(X3)),
introduced(definition,[new_symbols(definition,[sF682])],[function_definition]) ).
fof(f7617,plain,
! [X3] : the_mapping(sK587,sF679(X3)) = sF682(X3),
inference(reorient_equations,[],[f7616]) ).
fof(f7618,definition,
! [X3] : sF683(X3) = relation_rng_as_subset(sF680(X3),sF681,sF682(X3)),
introduced(definition,[new_symbols(definition,[sF683])],[function_definition]) ).
fof(f7619,plain,
! [X3] : relation_rng_as_subset(sF680(X3),sF681,sF682(X3)) = sF683(X3),
inference(reorient_equations,[],[f7618]) ).
fof(f7620,definition,
! [X3] : sF684(X3) = topstr_closure(sK587,sF683(X3)),
introduced(definition,[new_symbols(definition,[sF684])],[function_definition]) ).
fof(f7621,plain,
! [X3] : topstr_closure(sK587,sF683(X3)) = sF684(X3),
inference(reorient_equations,[],[f7620]) ).
fof(f7622,plain,
! [X3] :
( ~ in(sK590(X3),sF678)
| ~ netstr_induced_subset(sF683(X3),sK587,sK588)
| ~ element(sK590(X3),sF678)
| sK589 != sF684(X3)
| ~ in(sK590(X3),X3) ),
inference(definition_folding,[],[f7553,f7621,f7619,f7617,f7611,f7615,f7613,f7611,f7609,f7619,f7617,f7611,f7615,f7613,f7611,f7609]) ).
fof(f7623,plain,
! [X3] :
( in(sK590(X3),sF678)
| in(sK590(X3),X3) ),
inference(definition_folding,[],[f5776,f7609]) ).
fof(f7625,definition,
! [X3] : sF685(X3) = topstr_closure(sK587,sK591(X3)),
introduced(definition,[new_symbols(definition,[sF685])],[function_definition]) ).
fof(f7626,plain,
! [X3] : topstr_closure(sK587,sK591(X3)) = sF685(X3),
inference(reorient_equations,[],[f7625]) ).
fof(f7627,plain,
! [X3] :
( in(sK590(X3),X3)
| sK589 = sF685(X3) ),
inference(definition_folding,[],[f5773,f7626]) ).
fof(f7628,definition,
! [X3] : sF686(X3) = subnetstr_of_element(sK587,sK588,sK592(X3)),
introduced(definition,[new_symbols(definition,[sF686])],[function_definition]) ).
fof(f7629,plain,
! [X3] : subnetstr_of_element(sK587,sK588,sK592(X3)) = sF686(X3),
inference(reorient_equations,[],[f7628]) ).
fof(f7630,definition,
! [X3] : sF687(X3) = the_carrier(sF686(X3)),
introduced(definition,[new_symbols(definition,[sF687])],[function_definition]) ).
fof(f7631,plain,
! [X3] : the_carrier(sF686(X3)) = sF687(X3),
inference(reorient_equations,[],[f7630]) ).
fof(f7632,definition,
! [X3] : sF688(X3) = the_mapping(sK587,sF686(X3)),
introduced(definition,[new_symbols(definition,[sF688])],[function_definition]) ).
fof(f7633,plain,
! [X3] : the_mapping(sK587,sF686(X3)) = sF688(X3),
inference(reorient_equations,[],[f7632]) ).
fof(f7634,definition,
! [X3] : sF689(X3) = relation_rng_as_subset(sF687(X3),sF681,sF688(X3)),
introduced(definition,[new_symbols(definition,[sF689])],[function_definition]) ).
fof(f7635,plain,
! [X3] : relation_rng_as_subset(sF687(X3),sF681,sF688(X3)) = sF689(X3),
inference(reorient_equations,[],[f7634]) ).
fof(f7636,plain,
! [X3] :
( in(sK590(X3),X3)
| sK591(X3) = sF689(X3) ),
inference(definition_folding,[],[f5771,f7635,f7633,f7629,f7615,f7631,f7629]) ).
fof(f7737,plain,
! [X3] :
( sK589 != sF684(X3)
| ~ netstr_induced_subset(sF683(X3),sK587,sK588)
| ~ in(sK590(X3),sF678)
| ~ in(sK590(X3),X3) ),
inference(forward_subsumption_resolution,[],[f7622,f5980]) ).
fof(f7749,plain,
! [X0,X1,X7] :
( in(X7,sK534(X0,X1,topstr_closure(X1,relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))))))
| ~ in(X7,the_carrier(X0))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))),X1,X0)
| ~ sP68(X0,X1,topstr_closure(X1,relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))))) ),
inference(forward_subsumption_resolution,[],[f7525,f5980]) ).
fof(f8094,definition,
( spl690_59
<=> one_sorted_str(sK587) ),
introduced(definition,[new_symbols(definition,[spl690_59])],[avatar_definition]) ).
fof(f8095,plain,
( one_sorted_str(sK587)
| ~ spl690_59 ),
inference(avatar_component_clause,[],[f8094]) ).
fof(f8096,plain,
( ~ one_sorted_str(sK587)
| spl690_59 ),
inference(avatar_component_clause,[],[f8094]) ).
fof(f8112,definition,
( spl690_61
<=> one_sorted_str(sK588) ),
introduced(definition,[new_symbols(definition,[spl690_61])],[avatar_definition]) ).
fof(f8113,plain,
( one_sorted_str(sK588)
| ~ spl690_61 ),
inference(avatar_component_clause,[],[f8112]) ).
fof(f8114,plain,
( ~ one_sorted_str(sK588)
| spl690_61 ),
inference(avatar_component_clause,[],[f8112]) ).
fof(f8141,plain,
! [X0] :
( in(sK592(X0),sK534(sK588,sK587,topstr_closure(sK587,relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),the_mapping(sK587,sF686(X0))))))
| ~ in(sK592(X0),the_carrier(sK588))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),the_mapping(sK587,sF686(X0))),sK587,sK588)
| ~ sP68(sK588,sK587,topstr_closure(sK587,relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),the_mapping(sK587,sF686(X0))))) ),
inference(superposition,[],[f7749,f7629]) ).
fof(f8142,plain,
! [X0] :
( in(sK592(X0),sK534(sK588,sK587,topstr_closure(sK587,relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),sF688(X0)))))
| ~ in(sK592(X0),the_carrier(sK588))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),the_mapping(sK587,sF686(X0))),sK587,sK588)
| ~ sP68(sK588,sK587,topstr_closure(sK587,relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),the_mapping(sK587,sF686(X0))))) ),
inference(forward_demodulation,[],[f8141,f7633]) ).
fof(f8144,plain,
! [X0] :
( in(sK592(X0),sK534(sK588,sK587,topstr_closure(sK587,relation_rng_as_subset(the_carrier(sF686(X0)),sF681,sF688(X0)))))
| ~ in(sK592(X0),the_carrier(sK588))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),the_mapping(sK587,sF686(X0))),sK587,sK588)
| ~ sP68(sK588,sK587,topstr_closure(sK587,relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),the_mapping(sK587,sF686(X0))))) ),
inference(forward_demodulation,[],[f8142,f7615]) ).
fof(f8146,plain,
! [X0] :
( in(sK592(X0),sK534(sK588,sK587,topstr_closure(sK587,relation_rng_as_subset(sF687(X0),sF681,sF688(X0)))))
| ~ in(sK592(X0),the_carrier(sK588))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),the_mapping(sK587,sF686(X0))),sK587,sK588)
| ~ sP68(sK588,sK587,topstr_closure(sK587,relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),the_mapping(sK587,sF686(X0))))) ),
inference(forward_demodulation,[],[f8144,f7631]) ).
fof(f8148,plain,
! [X0] :
( in(sK592(X0),sK534(sK588,sK587,topstr_closure(sK587,sF689(X0))))
| ~ in(sK592(X0),the_carrier(sK588))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),the_mapping(sK587,sF686(X0))),sK587,sK588)
| ~ sP68(sK588,sK587,topstr_closure(sK587,relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),the_mapping(sK587,sF686(X0))))) ),
inference(forward_demodulation,[],[f8146,f7635]) ).
fof(f8150,plain,
! [X0] :
( ~ in(sK592(X0),sF678)
| in(sK592(X0),sK534(sK588,sK587,topstr_closure(sK587,sF689(X0))))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),the_mapping(sK587,sF686(X0))),sK587,sK588)
| ~ sP68(sK588,sK587,topstr_closure(sK587,relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),the_mapping(sK587,sF686(X0))))) ),
inference(forward_demodulation,[],[f8148,f7609]) ).
fof(f8152,plain,
! [X0] :
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),sF688(X0)),sK587,sK588)
| ~ in(sK592(X0),sF678)
| in(sK592(X0),sK534(sK588,sK587,topstr_closure(sK587,sF689(X0))))
| ~ sP68(sK588,sK587,topstr_closure(sK587,relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),the_mapping(sK587,sF686(X0))))) ),
inference(forward_demodulation,[],[f8150,f7633]) ).
fof(f8154,plain,
! [X0] :
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(sF686(X0)),sF681,sF688(X0)),sK587,sK588)
| ~ in(sK592(X0),sF678)
| in(sK592(X0),sK534(sK588,sK587,topstr_closure(sK587,sF689(X0))))
| ~ sP68(sK588,sK587,topstr_closure(sK587,relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),the_mapping(sK587,sF686(X0))))) ),
inference(forward_demodulation,[],[f8152,f7615]) ).
fof(f8156,plain,
! [X0] :
( ~ netstr_induced_subset(relation_rng_as_subset(sF687(X0),sF681,sF688(X0)),sK587,sK588)
| ~ in(sK592(X0),sF678)
| in(sK592(X0),sK534(sK588,sK587,topstr_closure(sK587,sF689(X0))))
| ~ sP68(sK588,sK587,topstr_closure(sK587,relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),the_mapping(sK587,sF686(X0))))) ),
inference(forward_demodulation,[],[f8154,f7631]) ).
fof(f8158,plain,
! [X0] :
( ~ netstr_induced_subset(sF689(X0),sK587,sK588)
| ~ in(sK592(X0),sF678)
| in(sK592(X0),sK534(sK588,sK587,topstr_closure(sK587,sF689(X0))))
| ~ sP68(sK588,sK587,topstr_closure(sK587,relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),the_mapping(sK587,sF686(X0))))) ),
inference(forward_demodulation,[],[f8156,f7635]) ).
fof(f8160,plain,
! [X0] :
( ~ sP68(sK588,sK587,topstr_closure(sK587,relation_rng_as_subset(the_carrier(sF686(X0)),the_carrier(sK587),sF688(X0))))
| ~ netstr_induced_subset(sF689(X0),sK587,sK588)
| ~ in(sK592(X0),sF678)
| in(sK592(X0),sK534(sK588,sK587,topstr_closure(sK587,sF689(X0)))) ),
inference(forward_demodulation,[],[f8158,f7633]) ).
fof(f8162,plain,
! [X0] :
( ~ sP68(sK588,sK587,topstr_closure(sK587,relation_rng_as_subset(the_carrier(sF686(X0)),sF681,sF688(X0))))
| ~ netstr_induced_subset(sF689(X0),sK587,sK588)
| ~ in(sK592(X0),sF678)
| in(sK592(X0),sK534(sK588,sK587,topstr_closure(sK587,sF689(X0)))) ),
inference(forward_demodulation,[],[f8160,f7615]) ).
fof(f8164,plain,
! [X0] :
( ~ sP68(sK588,sK587,topstr_closure(sK587,relation_rng_as_subset(sF687(X0),sF681,sF688(X0))))
| ~ netstr_induced_subset(sF689(X0),sK587,sK588)
| ~ in(sK592(X0),sF678)
| in(sK592(X0),sK534(sK588,sK587,topstr_closure(sK587,sF689(X0)))) ),
inference(forward_demodulation,[],[f8162,f7631]) ).
fof(f8166,plain,
! [X0] :
( in(sK592(X0),sK534(sK588,sK587,topstr_closure(sK587,sF689(X0))))
| ~ netstr_induced_subset(sF689(X0),sK587,sK588)
| ~ in(sK592(X0),sF678)
| ~ sP68(sK588,sK587,topstr_closure(sK587,sF689(X0))) ),
inference(forward_demodulation,[],[f8164,f7635]) ).
fof(f8179,plain,
one_sorted_str(sK587),
inference(resolution,[],[f4239,f5768]) ).
fof(f8180,plain,
( $false
| spl690_59 ),
inference(forward_subsumption_resolution,[],[f8179,f8096]) ).
fof(f8181,plain,
spl690_59,
inference(avatar_contradiction_clause,[],[f8180]) ).
fof(f8481,plain,
( rel_str(sK588)
| ~ one_sorted_str(sK587) ),
inference(resolution,[],[f4240,f5764]) ).
fof(f8482,plain,
( rel_str(sK588)
| ~ spl690_59 ),
inference(forward_subsumption_resolution,[],[f8481,f8095]) ).
fof(f8535,plain,
! [X2,X0,X1] :
( ~ sP68(X0,X1,X2)
| sK536(X0,X1,X2,sK590(sK534(X0,X1,X2))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,sK537(X0,X1,X2,sK590(sK534(X0,X1,X2))))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,sK537(X0,X1,X2,sK590(sK534(X0,X1,X2))))))
| sK590(sK534(X0,X1,X2)) = sK592(sK534(X0,X1,X2)) ),
inference(resolution,[],[f5655,f5772]) ).
fof(f8539,plain,
! [X2,X0,X1] :
( ~ sP68(X0,X1,X2)
| sK536(X0,X1,X2,sK590(sK534(X0,X1,X2))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,sK537(X0,X1,X2,sK590(sK534(X0,X1,X2))))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,sK537(X0,X1,X2,sK590(sK534(X0,X1,X2))))))
| sK589 = sF685(sK534(X0,X1,X2)) ),
inference(resolution,[],[f5655,f7627]) ).
fof(f8688,plain,
( ~ empty(sF678)
| empty_carrier(sK588)
| ~ one_sorted_str(sK588) ),
inference(superposition,[],[f4353,f7609]) ).
fof(f8767,plain,
! [X2,X0,X1] :
( ~ sP68(X1,X0,X2)
| topstr_closure(X0,sK536(X1,X0,X2,sK590(sK534(X1,X0,X2)))) = X2
| sK590(sK534(X1,X0,X2)) = sK592(sK534(X1,X0,X2)) ),
inference(resolution,[],[f5657,f5772]) ).
fof(f8771,plain,
! [X2,X0,X1] :
( ~ sP68(X1,X0,X2)
| topstr_closure(X0,sK536(X1,X0,X2,sK590(sK534(X1,X0,X2)))) = X2
| sK589 = sF685(sK534(X1,X0,X2)) ),
inference(resolution,[],[f5657,f7627]) ).
fof(f8772,plain,
! [X2,X0,X1] :
( ~ sP68(X1,X0,X2)
| topstr_closure(X0,sK536(X1,X0,X2,sK590(sK534(X1,X0,X2)))) = X2
| sK591(sK534(X1,X0,X2)) = sF689(sK534(X1,X0,X2)) ),
inference(resolution,[],[f5657,f7636]) ).
fof(f9184,plain,
( one_sorted_str(sK588)
| ~ spl690_59 ),
inference(resolution,[],[f4238,f8482]) ).
fof(f9185,plain,
( $false
| ~ spl690_59
| spl690_61 ),
inference(forward_subsumption_resolution,[],[f9184,f8114]) ).
fof(f9186,plain,
( ~ spl690_59
| spl690_61 ),
inference(avatar_contradiction_clause,[],[f9185]) ).
fof(f9192,plain,
( ~ empty(sF678)
| ~ one_sorted_str(sK588) ),
inference(forward_subsumption_resolution,[],[f8688,f5767]) ).
fof(f9201,plain,
( ~ empty(sF678)
| ~ spl690_61 ),
inference(forward_subsumption_resolution,[],[f9192,f8113]) ).
fof(f9385,definition,
( spl690_114
<=> sP68(sK588,sK587,sK589) ),
introduced(definition,[new_symbols(definition,[spl690_114])],[avatar_definition]) ).
fof(f9386,plain,
( sP68(sK588,sK587,sK589)
| ~ spl690_114 ),
inference(avatar_component_clause,[],[f9385]) ).
fof(f9387,plain,
( ~ sP68(sK588,sK587,sK589)
| spl690_114 ),
inference(avatar_component_clause,[],[f9385]) ).
fof(f9618,plain,
( sK542(sK587,sK588,sK589) = sK543(sK587,sK588,sK589)
| empty_carrier(sK587)
| ~ topological_space(sK587)
| ~ top_str(sK587)
| empty_carrier(sK588)
| ~ transitive_relstr(sK588)
| ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(resolution,[],[f9387,f5676]) ).
fof(f9619,plain,
( sK542(sK587,sK588,sK589) = sK544(sK587,sK588,sK589)
| empty_carrier(sK587)
| ~ topological_space(sK587)
| ~ top_str(sK587)
| empty_carrier(sK588)
| ~ transitive_relstr(sK588)
| ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(resolution,[],[f9387,f5674]) ).
fof(f9620,plain,
( sK542(sK587,sK588,sK589) = sK544(sK587,sK588,sK589)
| ~ topological_space(sK587)
| ~ top_str(sK587)
| empty_carrier(sK588)
| ~ transitive_relstr(sK588)
| ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9619,f5770]) ).
fof(f9621,plain,
( sK542(sK587,sK588,sK589) = sK543(sK587,sK588,sK589)
| ~ topological_space(sK587)
| ~ top_str(sK587)
| empty_carrier(sK588)
| ~ transitive_relstr(sK588)
| ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9618,f5770]) ).
fof(f9622,plain,
( sK542(sK587,sK588,sK589) = sK544(sK587,sK588,sK589)
| ~ top_str(sK587)
| empty_carrier(sK588)
| ~ transitive_relstr(sK588)
| ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9620,f5769]) ).
fof(f9623,plain,
( sK542(sK587,sK588,sK589) = sK543(sK587,sK588,sK589)
| ~ top_str(sK587)
| empty_carrier(sK588)
| ~ transitive_relstr(sK588)
| ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9621,f5769]) ).
fof(f9624,plain,
( sK542(sK587,sK588,sK589) = sK544(sK587,sK588,sK589)
| empty_carrier(sK588)
| ~ transitive_relstr(sK588)
| ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9622,f5768]) ).
fof(f9625,plain,
( sK542(sK587,sK588,sK589) = sK543(sK587,sK588,sK589)
| empty_carrier(sK588)
| ~ transitive_relstr(sK588)
| ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9623,f5768]) ).
fof(f9626,plain,
( sK542(sK587,sK588,sK589) = sK544(sK587,sK588,sK589)
| ~ transitive_relstr(sK588)
| ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9624,f5767]) ).
fof(f9627,plain,
( sK542(sK587,sK588,sK589) = sK543(sK587,sK588,sK589)
| ~ transitive_relstr(sK588)
| ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9625,f5767]) ).
fof(f9628,plain,
( sK542(sK587,sK588,sK589) = sK544(sK587,sK588,sK589)
| ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9626,f5766]) ).
fof(f9629,plain,
( sK542(sK587,sK588,sK589) = sK543(sK587,sK588,sK589)
| ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9627,f5766]) ).
fof(f9630,plain,
( sK542(sK587,sK588,sK589) = sK544(sK587,sK588,sK589)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9628,f5765]) ).
fof(f9631,plain,
( sK542(sK587,sK588,sK589) = sK543(sK587,sK588,sK589)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9629,f5765]) ).
fof(f9632,plain,
( sK542(sK587,sK588,sK589) = sK544(sK587,sK588,sK589)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9630,f5764]) ).
fof(f9633,plain,
( sK542(sK587,sK588,sK589) = sK543(sK587,sK588,sK589)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9631,f5764]) ).
fof(f9634,plain,
( sK543(sK587,sK588,sK589) = sK544(sK587,sK588,sK589)
| spl690_114 ),
inference(forward_demodulation,[],[f9633,f9632]) ).
fof(f9635,plain,
( sK543(sK587,sK588,sK589) != sK543(sK587,sK588,sK589)
| sP68(sK588,sK587,sK589)
| empty_carrier(sK587)
| ~ topological_space(sK587)
| ~ top_str(sK587)
| empty_carrier(sK588)
| ~ transitive_relstr(sK588)
| ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(superposition,[],[f5677,f9634]) ).
fof(f9636,plain,
( sP68(sK588,sK587,sK589)
| empty_carrier(sK587)
| ~ topological_space(sK587)
| ~ top_str(sK587)
| empty_carrier(sK588)
| ~ transitive_relstr(sK588)
| ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(trivial_inequality_removal,[],[f9635]) ).
fof(f9637,plain,
( empty_carrier(sK587)
| ~ topological_space(sK587)
| ~ top_str(sK587)
| empty_carrier(sK588)
| ~ transitive_relstr(sK588)
| ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9636,f9387]) ).
fof(f9638,plain,
( ~ topological_space(sK587)
| ~ top_str(sK587)
| empty_carrier(sK588)
| ~ transitive_relstr(sK588)
| ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9637,f5770]) ).
fof(f9639,plain,
( ~ top_str(sK587)
| empty_carrier(sK588)
| ~ transitive_relstr(sK588)
| ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9638,f5769]) ).
fof(f9640,plain,
( empty_carrier(sK588)
| ~ transitive_relstr(sK588)
| ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9639,f5768]) ).
fof(f9641,plain,
( ~ transitive_relstr(sK588)
| ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9640,f5767]) ).
fof(f9642,plain,
( ~ directed_relstr(sK588)
| ~ net_str(sK588,sK587)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9641,f5766]) ).
fof(f9643,plain,
( ~ net_str(sK588,sK587)
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9642,f5765]) ).
fof(f9644,plain,
( $false
| spl690_114 ),
inference(forward_subsumption_resolution,[],[f9643,f5764]) ).
fof(f9645,plain,
spl690_114,
inference(avatar_contradiction_clause,[],[f9644]) ).
fof(f9647,plain,
( sK589 = topstr_closure(sK587,sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))
| sK591(sK534(sK588,sK587,sK589)) = sF689(sK534(sK588,sK587,sK589))
| ~ spl690_114 ),
inference(resolution,[],[f9386,f8772]) ).
fof(f9648,plain,
( sK589 = topstr_closure(sK587,sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))
| sK590(sK534(sK588,sK587,sK589)) = sK592(sK534(sK588,sK587,sK589))
| ~ spl690_114 ),
inference(resolution,[],[f9386,f8767]) ).
fof(f9649,plain,
( sK589 = topstr_closure(sK587,sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))
| sK589 = sF685(sK534(sK588,sK587,sK589))
| ~ spl690_114 ),
inference(resolution,[],[f9386,f8771]) ).
fof(f9650,plain,
( sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))),the_carrier(sK587),the_mapping(sK587,subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))))
| sK590(sK534(sK588,sK587,sK589)) = sK592(sK534(sK588,sK587,sK589))
| ~ spl690_114 ),
inference(resolution,[],[f9386,f8535]) ).
fof(f9651,plain,
( sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))),the_carrier(sK587),the_mapping(sK587,subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))))
| sK589 = sF685(sK534(sK588,sK587,sK589))
| ~ spl690_114 ),
inference(resolution,[],[f9386,f8539]) ).
fof(f9652,plain,
( sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))),sF681,the_mapping(sK587,subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))))
| sK589 = sF685(sK534(sK588,sK587,sK589))
| ~ spl690_114 ),
inference(forward_demodulation,[],[f9651,f7615]) ).
fof(f9653,plain,
( sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))),sF681,the_mapping(sK587,subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))))
| sK590(sK534(sK588,sK587,sK589)) = sK592(sK534(sK588,sK587,sK589))
| ~ spl690_114 ),
inference(forward_demodulation,[],[f9650,f7615]) ).
fof(f9655,definition,
( spl690_129
<=> sK589 = sF685(sK534(sK588,sK587,sK589)) ),
introduced(definition,[new_symbols(definition,[spl690_129])],[avatar_definition]) ).
fof(f9656,plain,
( sK589 != sF685(sK534(sK588,sK587,sK589))
| spl690_129 ),
inference(avatar_component_clause,[],[f9655]) ).
fof(f9657,plain,
( sK589 = sF685(sK534(sK588,sK587,sK589))
| ~ spl690_129 ),
inference(avatar_component_clause,[],[f9655]) ).
fof(f9659,definition,
( spl690_130
<=> sK589 = topstr_closure(sK587,sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589)))) ),
introduced(definition,[new_symbols(definition,[spl690_130])],[avatar_definition]) ).
fof(f9660,plain,
( sK589 != topstr_closure(sK587,sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))
| spl690_130 ),
inference(avatar_component_clause,[],[f9659]) ).
fof(f9661,plain,
( sK589 = topstr_closure(sK587,sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))
| ~ spl690_130 ),
inference(avatar_component_clause,[],[f9659]) ).
fof(f9662,plain,
( spl690_129
| spl690_130
| ~ spl690_114 ),
inference(avatar_split_clause,[],[f9649,f9385,f9659,f9655]) ).
fof(f9664,definition,
( spl690_131
<=> sK590(sK534(sK588,sK587,sK589)) = sK592(sK534(sK588,sK587,sK589)) ),
introduced(definition,[new_symbols(definition,[spl690_131])],[avatar_definition]) ).
fof(f9665,plain,
( sK590(sK534(sK588,sK587,sK589)) != sK592(sK534(sK588,sK587,sK589))
| spl690_131 ),
inference(avatar_component_clause,[],[f9664]) ).
fof(f9666,plain,
( sK590(sK534(sK588,sK587,sK589)) = sK592(sK534(sK588,sK587,sK589))
| ~ spl690_131 ),
inference(avatar_component_clause,[],[f9664]) ).
fof(f9667,plain,
( spl690_131
| spl690_130
| ~ spl690_114 ),
inference(avatar_split_clause,[],[f9648,f9385,f9659,f9664]) ).
fof(f9669,definition,
( spl690_132
<=> sK591(sK534(sK588,sK587,sK589)) = sF689(sK534(sK588,sK587,sK589)) ),
introduced(definition,[new_symbols(definition,[spl690_132])],[avatar_definition]) ).
fof(f9670,plain,
( sK591(sK534(sK588,sK587,sK589)) != sF689(sK534(sK588,sK587,sK589))
| spl690_132 ),
inference(avatar_component_clause,[],[f9669]) ).
fof(f9671,plain,
( sK591(sK534(sK588,sK587,sK589)) = sF689(sK534(sK588,sK587,sK589))
| ~ spl690_132 ),
inference(avatar_component_clause,[],[f9669]) ).
fof(f9672,plain,
( spl690_132
| spl690_130
| ~ spl690_114 ),
inference(avatar_split_clause,[],[f9647,f9385,f9659,f9669]) ).
fof(f9675,definition,
( spl690_133
<=> sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))),sF681,the_mapping(sK587,subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589)))))) ),
introduced(definition,[new_symbols(definition,[spl690_133])],[avatar_definition]) ).
fof(f9676,plain,
( sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))) != relation_rng_as_subset(the_carrier(subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))),sF681,the_mapping(sK587,subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))))
| spl690_133 ),
inference(avatar_component_clause,[],[f9675]) ).
fof(f9677,plain,
( sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))),sF681,the_mapping(sK587,subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))))
| ~ spl690_133 ),
inference(avatar_component_clause,[],[f9675]) ).
fof(f9678,plain,
( spl690_129
| spl690_133
| ~ spl690_114 ),
inference(avatar_split_clause,[],[f9652,f9385,f9675,f9655]) ).
fof(f9679,plain,
( spl690_131
| spl690_133
| ~ spl690_114 ),
inference(avatar_split_clause,[],[f9653,f9385,f9675,f9664]) ).
fof(f9686,plain,
( in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,topstr_closure(sK587,sF689(sK534(sK588,sK587,sK589)))))
| ~ netstr_induced_subset(sF689(sK534(sK588,sK587,sK589)),sK587,sK588)
| ~ in(sK590(sK534(sK588,sK587,sK589)),sF678)
| ~ sP68(sK588,sK587,topstr_closure(sK587,sF689(sK534(sK588,sK587,sK589))))
| ~ spl690_131 ),
inference(superposition,[],[f8166,f9666]) ).
fof(f9689,plain,
( in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,topstr_closure(sK587,sK591(sK534(sK588,sK587,sK589)))))
| ~ netstr_induced_subset(sF689(sK534(sK588,sK587,sK589)),sK587,sK588)
| ~ in(sK590(sK534(sK588,sK587,sK589)),sF678)
| ~ sP68(sK588,sK587,topstr_closure(sK587,sF689(sK534(sK588,sK587,sK589))))
| ~ spl690_131
| ~ spl690_132 ),
inference(forward_demodulation,[],[f9686,f9671]) ).
fof(f9695,definition,
( spl690_135
<=> element(sK590(sK534(sK588,sK587,sK589)),sF678) ),
introduced(definition,[new_symbols(definition,[spl690_135])],[avatar_definition]) ).
fof(f9696,plain,
( element(sK590(sK534(sK588,sK587,sK589)),sF678)
| ~ spl690_135 ),
inference(avatar_component_clause,[],[f9695]) ).
fof(f9697,plain,
( ~ element(sK590(sK534(sK588,sK587,sK589)),sF678)
| spl690_135 ),
inference(avatar_component_clause,[],[f9695]) ).
fof(f9709,plain,
( in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,sF685(sK534(sK588,sK587,sK589))))
| ~ netstr_induced_subset(sF689(sK534(sK588,sK587,sK589)),sK587,sK588)
| ~ in(sK590(sK534(sK588,sK587,sK589)),sF678)
| ~ sP68(sK588,sK587,topstr_closure(sK587,sF689(sK534(sK588,sK587,sK589))))
| ~ spl690_131
| ~ spl690_132 ),
inference(forward_demodulation,[],[f9689,f7626]) ).
fof(f9710,plain,
( in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,sK589))
| ~ netstr_induced_subset(sF689(sK534(sK588,sK587,sK589)),sK587,sK588)
| ~ in(sK590(sK534(sK588,sK587,sK589)),sF678)
| ~ sP68(sK588,sK587,topstr_closure(sK587,sF689(sK534(sK588,sK587,sK589))))
| ~ spl690_129
| ~ spl690_131
| ~ spl690_132 ),
inference(forward_demodulation,[],[f9709,f9657]) ).
fof(f9711,plain,
( in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,sK589))
| ~ netstr_induced_subset(sF689(sK534(sK588,sK587,sK589)),sK587,sK588)
| ~ sP68(sK588,sK587,topstr_closure(sK587,sF689(sK534(sK588,sK587,sK589))))
| ~ spl690_129
| ~ spl690_131
| ~ spl690_132 ),
inference(forward_subsumption_resolution,[],[f9710,f7623]) ).
fof(f9712,plain,
( ~ netstr_induced_subset(sK591(sK534(sK588,sK587,sK589)),sK587,sK588)
| in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,sK589))
| ~ sP68(sK588,sK587,topstr_closure(sK587,sF689(sK534(sK588,sK587,sK589))))
| ~ spl690_129
| ~ spl690_131
| ~ spl690_132 ),
inference(forward_demodulation,[],[f9711,f9671]) ).
fof(f9713,plain,
( in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,sK589))
| ~ sP68(sK588,sK587,topstr_closure(sK587,sF689(sK534(sK588,sK587,sK589))))
| ~ spl690_129
| ~ spl690_131
| ~ spl690_132 ),
inference(forward_subsumption_resolution,[],[f9712,f5775]) ).
fof(f9714,plain,
( ~ sP68(sK588,sK587,topstr_closure(sK587,sK591(sK534(sK588,sK587,sK589))))
| in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,sK589))
| ~ spl690_129
| ~ spl690_131
| ~ spl690_132 ),
inference(forward_demodulation,[],[f9713,f9671]) ).
fof(f9715,plain,
( ~ sP68(sK588,sK587,sF685(sK534(sK588,sK587,sK589)))
| in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,sK589))
| ~ spl690_129
| ~ spl690_131
| ~ spl690_132 ),
inference(forward_demodulation,[],[f9714,f7626]) ).
fof(f9716,plain,
( ~ sP68(sK588,sK587,sK589)
| in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,sK589))
| ~ spl690_129
| ~ spl690_131
| ~ spl690_132 ),
inference(forward_demodulation,[],[f9715,f9657]) ).
fof(f9717,plain,
( in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,sK589))
| ~ spl690_114
| ~ spl690_129
| ~ spl690_131
| ~ spl690_132 ),
inference(forward_subsumption_resolution,[],[f9716,f9386]) ).
fof(f12050,definition,
( spl690_211
<=> in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,sK589)) ),
introduced(definition,[new_symbols(definition,[spl690_211])],[avatar_definition]) ).
fof(f12051,plain,
( ~ in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,sK589))
| spl690_211 ),
inference(avatar_component_clause,[],[f12050]) ).
fof(f12052,plain,
( in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,sK589))
| ~ spl690_211 ),
inference(avatar_component_clause,[],[f12050]) ).
fof(f12188,plain,
( sK590(sK534(sK588,sK587,sK589)) = sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589)))
| ~ sP68(sK588,sK587,sK589)
| ~ spl690_211 ),
inference(resolution,[],[f5656,f12052]) ).
fof(f12195,plain,
( sK590(sK534(sK588,sK587,sK589)) = sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589)))
| ~ spl690_114
| ~ spl690_211 ),
inference(forward_subsumption_resolution,[],[f12188,f9386]) ).
fof(f12196,plain,
( sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK587,sK588,sK590(sK534(sK588,sK587,sK589)))),sF681,the_mapping(sK587,subnetstr_of_element(sK587,sK588,sK590(sK534(sK588,sK587,sK589)))))
| ~ spl690_114
| ~ spl690_133
| ~ spl690_211 ),
inference(superposition,[],[f9677,f12195]) ).
fof(f12198,plain,
( element(sK590(sK534(sK588,sK587,sK589)),the_carrier(sK588))
| ~ in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,sK589))
| ~ sP68(sK588,sK587,sK589)
| ~ spl690_114
| ~ spl690_211 ),
inference(superposition,[],[f5658,f12195]) ).
fof(f12199,plain,
( element(sK590(sK534(sK588,sK587,sK589)),the_carrier(sK588))
| ~ sP68(sK588,sK587,sK589)
| ~ spl690_114
| ~ spl690_211 ),
inference(forward_subsumption_resolution,[],[f12198,f12052]) ).
fof(f12201,plain,
( sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))) = relation_rng_as_subset(the_carrier(sF679(sK534(sK588,sK587,sK589))),sF681,the_mapping(sK587,sF679(sK534(sK588,sK587,sK589))))
| ~ spl690_114
| ~ spl690_133
| ~ spl690_211 ),
inference(forward_demodulation,[],[f12196,f7611]) ).
fof(f12202,plain,
( element(sK590(sK534(sK588,sK587,sK589)),the_carrier(sK588))
| ~ spl690_114
| ~ spl690_211 ),
inference(forward_subsumption_resolution,[],[f12199,f9386]) ).
fof(f12204,plain,
( sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))) = relation_rng_as_subset(the_carrier(sF679(sK534(sK588,sK587,sK589))),sF681,sF682(sK534(sK588,sK587,sK589)))
| ~ spl690_114
| ~ spl690_133
| ~ spl690_211 ),
inference(forward_demodulation,[],[f12201,f7617]) ).
fof(f12205,plain,
( element(sK590(sK534(sK588,sK587,sK589)),sF678)
| ~ spl690_114
| ~ spl690_211 ),
inference(forward_demodulation,[],[f12202,f7609]) ).
fof(f12208,plain,
( sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))) = relation_rng_as_subset(sF680(sK534(sK588,sK587,sK589)),sF681,sF682(sK534(sK588,sK587,sK589)))
| ~ spl690_114
| ~ spl690_133
| ~ spl690_211 ),
inference(forward_demodulation,[],[f12204,f7613]) ).
fof(f12209,plain,
( $false
| ~ spl690_114
| spl690_135
| ~ spl690_211 ),
inference(forward_subsumption_resolution,[],[f12205,f9697]) ).
fof(f12210,plain,
( ~ spl690_114
| spl690_135
| ~ spl690_211 ),
inference(avatar_contradiction_clause,[],[f12209]) ).
fof(f12211,plain,
( sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))) = sF683(sK534(sK588,sK587,sK589))
| ~ spl690_114
| ~ spl690_133
| ~ spl690_211 ),
inference(forward_demodulation,[],[f12208,f7619]) ).
fof(f12212,plain,
( sK590(sK534(sK588,sK587,sK589)) = sK592(sK534(sK588,sK587,sK589))
| spl690_211 ),
inference(resolution,[],[f12051,f5772]) ).
fof(f12216,plain,
( sK589 = sF685(sK534(sK588,sK587,sK589))
| spl690_211 ),
inference(resolution,[],[f12051,f7627]) ).
fof(f12242,plain,
( $false
| spl690_131
| spl690_211 ),
inference(forward_subsumption_resolution,[],[f12212,f9665]) ).
fof(f12243,plain,
( spl690_131
| spl690_211 ),
inference(avatar_contradiction_clause,[],[f12242]) ).
fof(f12253,plain,
( in(sK590(sK534(sK588,sK587,sK589)),sF678)
| empty(sF678)
| ~ spl690_135 ),
inference(resolution,[],[f9696,f6065]) ).
fof(f12254,plain,
( in(sK590(sK534(sK588,sK587,sK589)),sF678)
| ~ spl690_61
| ~ spl690_135 ),
inference(forward_subsumption_resolution,[],[f12253,f9201]) ).
fof(f12305,plain,
( sK589 = topstr_closure(sK587,sF683(sK534(sK588,sK587,sK589)))
| ~ spl690_114
| ~ spl690_130
| ~ spl690_133
| ~ spl690_211 ),
inference(superposition,[],[f9661,f12211]) ).
fof(f12306,plain,
( sK589 = sF684(sK534(sK588,sK587,sK589))
| ~ spl690_114
| ~ spl690_130
| ~ spl690_133
| ~ spl690_211 ),
inference(forward_demodulation,[],[f12305,f7621]) ).
fof(f12310,plain,
( sK589 != sK589
| ~ netstr_induced_subset(sF683(sK534(sK588,sK587,sK589)),sK587,sK588)
| ~ in(sK590(sK534(sK588,sK587,sK589)),sF678)
| ~ in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,sK589))
| ~ spl690_114
| ~ spl690_130
| ~ spl690_133
| ~ spl690_211 ),
inference(superposition,[],[f7737,f12306]) ).
fof(f12311,plain,
( ~ netstr_induced_subset(sF683(sK534(sK588,sK587,sK589)),sK587,sK588)
| ~ in(sK590(sK534(sK588,sK587,sK589)),sF678)
| ~ in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,sK589))
| ~ spl690_114
| ~ spl690_130
| ~ spl690_133
| ~ spl690_211 ),
inference(trivial_inequality_removal,[],[f12310]) ).
fof(f12312,plain,
( ~ netstr_induced_subset(sF683(sK534(sK588,sK587,sK589)),sK587,sK588)
| ~ in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,sK589))
| ~ spl690_61
| ~ spl690_114
| ~ spl690_130
| ~ spl690_133
| ~ spl690_135
| ~ spl690_211 ),
inference(forward_subsumption_resolution,[],[f12311,f12254]) ).
fof(f12314,plain,
( ~ netstr_induced_subset(sF683(sK534(sK588,sK587,sK589)),sK587,sK588)
| ~ spl690_61
| ~ spl690_114
| ~ spl690_130
| ~ spl690_133
| ~ spl690_135
| ~ spl690_211 ),
inference(forward_subsumption_resolution,[],[f12312,f12052]) ).
fof(f12636,plain,
( spl690_211
| ~ spl690_114
| ~ spl690_129
| ~ spl690_131
| ~ spl690_132 ),
inference(avatar_split_clause,[],[f9717,f9669,f9664,f9655,f9385,f12050]) ).
fof(f12683,plain,
( $false
| spl690_129
| spl690_211 ),
inference(forward_subsumption_resolution,[],[f12216,f9656]) ).
fof(f12684,plain,
( spl690_129
| spl690_211 ),
inference(avatar_contradiction_clause,[],[f12683]) ).
fof(f12755,plain,
( sK591(sK534(sK588,sK587,sK589)) = sF689(sK534(sK588,sK587,sK589))
| spl690_211 ),
inference(resolution,[],[f12051,f7636]) ).
fof(f12782,plain,
( $false
| spl690_132
| spl690_211 ),
inference(forward_subsumption_resolution,[],[f12755,f9670]) ).
fof(f12783,plain,
( spl690_132
| spl690_211 ),
inference(avatar_contradiction_clause,[],[f12782]) ).
fof(f12801,plain,
( sK589 = topstr_closure(sK587,sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))
| ~ sP68(sK588,sK587,sK589)
| ~ spl690_211 ),
inference(resolution,[],[f12052,f5657]) ).
fof(f12802,plain,
( sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))),the_carrier(sK587),the_mapping(sK587,subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))))
| ~ sP68(sK588,sK587,sK589)
| ~ spl690_211 ),
inference(resolution,[],[f12052,f5655]) ).
fof(f12805,plain,
( sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))),the_carrier(sK587),the_mapping(sK587,subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))))
| ~ spl690_114
| ~ spl690_211 ),
inference(forward_subsumption_resolution,[],[f12802,f9386]) ).
fof(f12815,plain,
( sK536(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))),sF681,the_mapping(sK587,subnetstr_of_element(sK587,sK588,sK537(sK588,sK587,sK589,sK590(sK534(sK588,sK587,sK589))))))
| ~ spl690_114
| ~ spl690_211 ),
inference(forward_demodulation,[],[f12805,f7615]) ).
fof(f12818,plain,
( $false
| ~ spl690_114
| spl690_133
| ~ spl690_211 ),
inference(forward_subsumption_resolution,[],[f12815,f9676]) ).
fof(f12819,plain,
( ~ spl690_114
| spl690_133
| ~ spl690_211 ),
inference(avatar_contradiction_clause,[],[f12818]) ).
fof(f12822,plain,
( ~ sP68(sK588,sK587,sK589)
| spl690_130
| ~ spl690_211 ),
inference(forward_subsumption_resolution,[],[f12801,f9660]) ).
fof(f12824,plain,
( $false
| ~ spl690_114
| spl690_130
| ~ spl690_211 ),
inference(forward_subsumption_resolution,[],[f12822,f9386]) ).
fof(f12825,plain,
( ~ spl690_114
| spl690_130
| ~ spl690_211 ),
inference(avatar_contradiction_clause,[],[f12824]) ).
fof(f13456,plain,
( netstr_induced_subset(sF683(sK534(sK588,sK587,sK589)),sK587,sK588)
| ~ in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,sK589))
| ~ sP68(sK588,sK587,sK589)
| ~ spl690_114
| ~ spl690_133
| ~ spl690_211 ),
inference(superposition,[],[f5659,f12211]) ).
fof(f13457,plain,
( ~ in(sK590(sK534(sK588,sK587,sK589)),sK534(sK588,sK587,sK589))
| ~ sP68(sK588,sK587,sK589)
| ~ spl690_61
| ~ spl690_114
| ~ spl690_130
| ~ spl690_133
| ~ spl690_135
| ~ spl690_211 ),
inference(forward_subsumption_resolution,[],[f13456,f12314]) ).
fof(f13458,plain,
( ~ sP68(sK588,sK587,sK589)
| ~ spl690_61
| ~ spl690_114
| ~ spl690_130
| ~ spl690_133
| ~ spl690_135
| ~ spl690_211 ),
inference(forward_subsumption_resolution,[],[f13457,f12052]) ).
fof(f13459,plain,
( $false
| ~ spl690_61
| ~ spl690_114
| ~ spl690_130
| ~ spl690_133
| ~ spl690_135
| ~ spl690_211 ),
inference(forward_subsumption_resolution,[],[f13458,f9386]) ).
fof(f13460,plain,
( ~ spl690_61
| ~ spl690_114
| ~ spl690_130
| ~ spl690_133
| ~ spl690_135
| ~ spl690_211 ),
inference(avatar_contradiction_clause,[],[f13459]) ).
cnf(s52,plain,
spl690_59,
inference(sat_conversion,[],[f8181]) ).
cnf(s74,plain,
( ~ spl690_59
| spl690_61 ),
inference(sat_conversion,[],[f9186]) ).
cnf(s99,plain,
spl690_114,
inference(sat_conversion,[],[f9645]) ).
cnf(s100,plain,
( ~ spl690_114
| spl690_129
| spl690_130 ),
inference(sat_conversion,[],[f9662]) ).
cnf(s101,plain,
( ~ spl690_114
| spl690_130
| spl690_131 ),
inference(sat_conversion,[],[f9667]) ).
cnf(s102,plain,
( ~ spl690_114
| spl690_130
| spl690_132 ),
inference(sat_conversion,[],[f9672]) ).
cnf(s103,plain,
( ~ spl690_114
| spl690_129
| spl690_133 ),
inference(sat_conversion,[],[f9678]) ).
cnf(s104,plain,
( ~ spl690_114
| spl690_131
| spl690_133 ),
inference(sat_conversion,[],[f9679]) ).
cnf(s181,plain,
( ~ spl690_114
| spl690_135
| ~ spl690_211 ),
inference(sat_conversion,[],[f12210]) ).
cnf(s187,plain,
( spl690_131
| spl690_211 ),
inference(sat_conversion,[],[f12243]) ).
cnf(s204,plain,
( ~ spl690_114
| ~ spl690_129
| ~ spl690_131
| ~ spl690_132
| spl690_211 ),
inference(sat_conversion,[],[f12636]) ).
cnf(s214,plain,
( spl690_129
| spl690_211 ),
inference(sat_conversion,[],[f12684]) ).
cnf(s219,plain,
( spl690_132
| spl690_211 ),
inference(sat_conversion,[],[f12783]) ).
cnf(s225,plain,
( ~ spl690_114
| spl690_133
| ~ spl690_211 ),
inference(sat_conversion,[],[f12819]) ).
cnf(s226,plain,
( ~ spl690_114
| spl690_130
| ~ spl690_211 ),
inference(sat_conversion,[],[f12825]) ).
cnf(s235,plain,
( ~ spl690_61
| ~ spl690_114
| ~ spl690_130
| ~ spl690_133
| ~ spl690_135
| ~ spl690_211 ),
inference(sat_conversion,[],[f13460]) ).
cnf(s239,plain,
spl690_61,
inference(rat,[],[s74,s52]) ).
cnf(s243,plain,
spl690_129,
inference(rat,[],[s235,s181,s100,s103,s214,s99,s239]) ).
cnf(s244,plain,
( spl690_131
| ~ spl690_130 ),
inference(rat,[],[s235,s181,s104,s187,s99,s239]) ).
cnf(s245,plain,
( spl690_211
| ~ spl690_131 ),
inference(rat,[],[s204,s219,s99,s243]) ).
cnf(s246,plain,
( ~ spl690_211
| ~ spl690_135
| ~ spl690_130 ),
inference(rat,[],[s225,s235,s239,s99]) ).
cnf(s247,plain,
~ spl690_130,
inference(rat,[],[s246,s181,s245,s244,s99]) ).
cnf(s248,plain,
~ spl690_211,
inference(rat,[],[s226,s99,s247]) ).
cnf(s249,plain,
spl690_132,
inference(rat,[],[s102,s99,s247]) ).
cnf(s250,plain,
spl690_131,
inference(rat,[],[s101,s99,s247]) ).
cnf(s261,plain,
$false,
inference(rat,[],[s204,s250,s243,s99,s248,s249]) ).
fof(f13461,plain,
$false,
inference(avatar_sat_refutation,[],[s261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU399+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 05:05:56 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.00/2.35 % (2037547)Detected formulas, will run a generic FOF schedule.
% 12.00/2.35 % (2037558)dis-21_1_sil=8000:lcm=predicate:random_seed=4211049003:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 12.00/2.35 % (2037552)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1615212942:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.00/2.35 % (2037555)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3813600425:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.00/2.35 % (2037556)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=855318316:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.00/2.35 % (2037557)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1074590017:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.00/2.35 % (2037554)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3591232441:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.00/2.35 % (2037553)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1122363766:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.00/2.35 % (2037558)Instruction limit reached!
% 12.00/2.35 % (2037558)------------------------------
% 12.00/2.35 % (2037558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.35 % (2037558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.35 % (2037558)CaDiCaL version: 2.1.3
% 12.00/2.35 % (2037558)Termination reason: Instruction limit
% 12.00/2.35 % (2037558)Termination phase: Saturation
% 12.00/2.35 % (2037558)Time elapsed: 0.035 s
% 12.00/2.35 % (2037558)Peak memory usage: 91 MB
% 12.00/2.35 % (2037558)Instructions burned: 131 (million)
% 12.00/2.35 % (2037555)Instruction limit reached!
% 12.00/2.35 % (2037555)------------------------------
% 12.00/2.35 % (2037555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.35 % (2037555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.35 % (2037555)CaDiCaL version: 2.1.3
% 12.00/2.35 % (2037555)Termination reason: Instruction limit
% 12.00/2.35 % (2037555)Termination phase: Blocked clause elimination
% 12.00/2.35 % (2037555)Time elapsed: 0.061 s
% 12.00/2.35 % (2037555)Peak memory usage: 90 MB
% 12.00/2.35 % (2037555)Instructions burned: 110 (million)
% 12.00/2.35 % (2037556)Instruction limit reached!
% 12.00/2.35 % (2037556)------------------------------
% 12.00/2.35 % (2037556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.35 % (2037556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.35 % (2037556)CaDiCaL version: 2.1.3
% 12.00/2.35 % (2037556)Termination reason: Instruction limit
% 12.00/2.35 % (2037556)Termination phase: Saturation
% 12.00/2.35 % (2037556)Time elapsed: 0.069 s
% 12.00/2.35 % (2037556)Peak memory usage: 92 MB
% 12.00/2.35 % (2037556)Instructions burned: 119 (million)
% 12.00/2.35 % (2037557)Instruction limit reached!
% 12.00/2.35 % (2037557)------------------------------
% 12.00/2.35 % (2037557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.35 % (2037557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.35 % (2037557)CaDiCaL version: 2.1.3
% 12.00/2.35 % (2037557)Termination reason: Instruction limit
% 12.00/2.35 % (2037557)Termination phase: Saturation
% 12.00/2.35 % (2037557)Time elapsed: 0.077 s
% 12.00/2.35 % (2037557)Peak memory usage: 92 MB
% 12.00/2.35 % (2037557)Instructions burned: 139 (million)
% 12.00/2.35 % (2037566)lrs+10_1_sil=8000:sp=occurrence:random_seed=2034074705:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 12.00/2.35 % (2037567)lrs+10_1_sil=32000:urr=on:br=off:random_seed=705472622:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.00/2.35 % (2037566)Instruction limit reached!
% 12.00/2.35 % (2037566)------------------------------
% 12.00/2.35 % (2037566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.00/2.35 % (2037566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.35 % (2037566)CaDiCaL version: 2.1.3
% 12.00/2.35 % (2037566)Termination reason: Instruction limit
% 17.32/3.07 % (2037566)Termination phase: Saturation
% 17.32/3.07 % (2037566)Time elapsed: 0.089 s
% 17.32/3.07 % (2037566)Peak memory usage: 95 MB
% 17.32/3.07 % (2037566)Instructions burned: 287 (million)
% 17.32/3.07 % (2037568)lrs+1011_1_sil=32000:sp=occurrence:random_seed=686061199:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 17.32/3.07 % (2037569)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=707888702:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 17.32/3.07 % (2037567)Instruction limit reached!
% 17.32/3.07 % (2037567)------------------------------
% 17.32/3.07 % (2037567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.07 % (2037567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.07 % (2037567)CaDiCaL version: 2.1.3
% 17.32/3.07 % (2037567)Termination reason: Instruction limit
% 17.32/3.07 % (2037567)Termination phase: Saturation
% 17.32/3.07 % (2037567)Time elapsed: 0.079 s
% 17.32/3.07 % (2037567)Peak memory usage: 90 MB
% 17.32/3.07 % (2037567)Instructions burned: 158 (million)
% 17.32/3.07 % (2037572)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=593819677:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 17.32/3.07 % (2037569)Instruction limit reached!
% 17.32/3.07 % (2037569)------------------------------
% 17.32/3.07 % (2037569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.07 % (2037569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.07 % (2037569)CaDiCaL version: 2.1.3
% 17.32/3.07 % (2037569)Termination reason: Instruction limit
% 17.32/3.07 % (2037569)Termination phase: Saturation
% 17.32/3.07 % (2037569)Time elapsed: 0.152 s
% 17.32/3.07 % (2037569)Peak memory usage: 95 MB
% 17.32/3.07 % (2037569)Instructions burned: 249 (million)
% 17.32/3.07 % (2037572)Instruction limit reached!
% 17.32/3.07 % (2037572)------------------------------
% 17.32/3.07 % (2037572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.07 % (2037572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.07 % (2037572)CaDiCaL version: 2.1.3
% 17.32/3.07 % (2037572)Termination reason: Instruction limit
% 17.32/3.07 % (2037572)Termination phase: Saturation
% 17.32/3.07 % (2037572)Time elapsed: 0.093 s
% 17.32/3.07 % (2037572)Peak memory usage: 94 MB
% 17.32/3.07 % (2037572)Instructions burned: 297 (million)
% 17.32/3.07 % (2037568)Instruction limit reached!
% 17.32/3.07 % (2037568)------------------------------
% 17.32/3.07 % (2037568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.07 % (2037568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.07 % (2037568)CaDiCaL version: 2.1.3
% 17.32/3.07 % (2037568)Termination reason: Instruction limit
% 17.32/3.07 % (2037568)Termination phase: Saturation
% 17.32/3.07 % (2037568)Time elapsed: 0.199 s
% 17.32/3.07 % (2037568)Peak memory usage: 96 MB
% 17.32/3.07 % (2037568)Instructions burned: 325 (million)
% 17.32/3.07 % (2037575)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=665223068:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 17.32/3.07 % (2037578)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4246118885:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 17.32/3.07 % (2037578)Instruction limit reached!
% 17.32/3.07 % (2037578)------------------------------
% 17.32/3.07 % (2037578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.07 % (2037578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.07 % (2037578)CaDiCaL version: 2.1.3
% 17.32/3.07 % (2037578)Termination reason: Instruction limit
% 17.32/3.07 % (2037578)Termination phase: Blocked clause elimination
% 17.32/3.07 % (2037578)Time elapsed: 0.039 s
% 17.32/3.07 % (2037578)Peak memory usage: 91 MB
% 17.32/3.07 % (2037578)Instructions burned: 129 (million)
% 17.32/3.07 % (2037577)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4129690417:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 17.32/3.07 % (2037579)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1224557431:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 17.32/3.07 % (2037577)Instruction limit reached!
% 17.32/3.07 % (2037577)------------------------------
% 17.32/3.07 % (2037577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.07 % (2037577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.07 % (2037577)CaDiCaL version: 2.1.3
% 17.32/3.07 % (2037577)Termination reason: Instruction limit
% 17.32/3.07 % (2037577)Termination phase: Saturation
% 17.32/3.07 % (2037577)Time elapsed: 0.064 s
% 17.32/3.07 % (2037577)Peak memory usage: 92 MB
% 17.32/3.07 % (2037577)Instructions burned: 114 (million)
% 17.32/3.07 % (2037583)lrs+10_1_sil=8000:sp=occurrence:random_seed=817707984:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 17.32/3.07 % (2037579)Instruction limit reached!
% 17.32/3.07 % (2037579)------------------------------
% 17.32/3.07 % (2037579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.07 % (2037579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.07 % (2037579)CaDiCaL version: 2.1.3
% 17.32/3.07 % (2037579)Termination reason: Instruction limit
% 17.32/3.07 % (2037579)Termination phase: Saturation
% 17.32/3.07 % (2037579)Time elapsed: 0.057 s
% 17.32/3.07 % (2037579)Peak memory usage: 90 MB
% 17.32/3.07 % (2037579)Instructions burned: 115 (million)
% 17.32/3.07 % (2037585)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4197856105:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 17.32/3.07 % (2037587)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2425008442:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 17.32/3.07 % (2037583)Instruction limit reached!
% 17.32/3.07 % (2037583)------------------------------
% 17.32/3.07 % (2037583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.07 % (2037583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.07 % (2037583)CaDiCaL version: 2.1.3
% 17.32/3.07 % (2037583)Termination reason: Instruction limit
% 17.32/3.07 % (2037583)Termination phase: Saturation
% 17.32/3.07 % (2037583)Time elapsed: 0.308 s
% 17.32/3.07 % (2037583)Peak memory usage: 105 MB
% 17.32/3.07 % (2037583)Instructions burned: 909 (million)
% 17.32/3.07 % (2037585)Instruction limit reached!
% 17.32/3.07 % (2037585)------------------------------
% 17.32/3.07 % (2037585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.07 % (2037585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.07 % (2037585)CaDiCaL version: 2.1.3
% 17.32/3.07 % (2037585)Termination reason: Instruction limit
% 17.32/3.07 % (2037585)Termination phase: Saturation
% 17.32/3.07 % (2037585)Time elapsed: 0.268 s
% 17.32/3.07 % (2037585)Peak memory usage: 97 MB
% 17.32/3.07 % (2037585)Instructions burned: 438 (million)
% 17.32/3.07 % (2037590)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4190802167:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 17.32/3.07 % (2037590)Instruction limit reached!
% 17.32/3.07 % (2037590)------------------------------
% 17.32/3.07 % (2037590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.07 % (2037590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.07 % (2037590)CaDiCaL version: 2.1.3
% 17.32/3.07 % (2037590)Termination reason: Instruction limit
% 17.32/3.07 % (2037590)Termination phase: Property scanning
% 17.32/3.07 % (2037590)Time elapsed: 0.039 s
% 17.32/3.07 % (2037590)Peak memory usage: 91 MB
% 17.32/3.07 % (2037590)Instructions burned: 138 (million)
% 17.32/3.07 % (2037592)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3502691640:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 17.32/3.07 % (2037593)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1177437768:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 17.32/3.07 % (2037592)Instruction limit reached!
% 17.32/3.07 % (2037592)------------------------------
% 17.32/3.07 % (2037592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.07 % (2037592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.07 % (2037592)CaDiCaL version: 2.1.3
% 17.32/3.07 % (2037592)Termination reason: Instruction limit
% 17.32/3.07 % (2037592)Termination phase: Saturation
% 17.32/3.07 % (2037592)Time elapsed: 0.344 s
% 17.32/3.07 % (2037592)Peak memory usage: 101 MB
% 17.32/3.07 % (2037592)Instructions burned: 593 (million)
% 17.32/3.07 % (2037596)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3576133949:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 17.32/3.07 % (2037596)Instruction limit reached!
% 17.32/3.07 % (2037596)------------------------------
% 17.32/3.07 % (2037596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.07 % (2037596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.07 % (2037596)CaDiCaL version: 2.1.3
% 17.32/3.07 % (2037596)Termination reason: Instruction limit
% 17.32/3.07 % (2037596)Termination phase: Saturation
% 17.32/3.07 % (2037596)Time elapsed: 0.070 s
% 17.32/3.07 % (2037596)Peak memory usage: 92 MB
% 17.32/3.07 % (2037596)Instructions burned: 125 (million)
% 17.32/3.07 % (2037598)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=881727670:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 17.32/3.07 % (2037575)Instruction limit reached!
% 17.32/3.07 % (2037575)------------------------------
% 17.32/3.07 % (2037575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.07 % (2037575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.07 % (2037575)CaDiCaL version: 2.1.3
% 17.32/3.07 % (2037575)Termination reason: Instruction limit
% 17.32/3.07 % (2037575)Termination phase: Saturation
% 17.32/3.07 % (2037575)Time elapsed: 1.462 s
% 17.32/3.07 % (2037575)Peak memory usage: 155 MB
% 17.32/3.07 % (2037575)Instructions burned: 2351 (million)
% 17.32/3.07 % (2037598)Instruction limit reached!
% 17.32/3.07 % (2037598)------------------------------
% 17.32/3.07 % (2037598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.07 % (2037598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.07 % (2037598)CaDiCaL version: 2.1.3
% 17.32/3.07 % (2037598)Termination reason: Instruction limit
% 17.32/3.07 % (2037598)Termination phase: Saturation
% 17.32/3.07 % (2037598)Time elapsed: 0.068 s
% 17.32/3.07 % (2037598)Peak memory usage: 92 MB
% 17.32/3.07 % (2037598)Instructions burned: 135 (million)
% 17.32/3.07 % (2037600)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3353872069:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 17.32/3.07 % (2037601)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2390740852:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 17.32/3.07 % (2037552)First to succeed.
% 17.32/3.07 % (2037552)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2037547"
% 17.32/3.07 % (2037600)Instruction limit reached!
% 17.32/3.07 % (2037600)------------------------------
% 17.32/3.07 % (2037600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.07 % (2037600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.07 % (2037600)CaDiCaL version: 2.1.3
% 17.32/3.07 % (2037600)Termination reason: Instruction limit
% 17.32/3.07 % (2037600)Termination phase: Saturation
% 17.32/3.07 % (2037600)Time elapsed: 0.071 s
% 17.32/3.07 % (2037600)Peak memory usage: 91 MB
% 17.32/3.07 % (2037600)Instructions burned: 142 (million)
% 17.32/3.07 % (2037604)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2041845100:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 17.32/3.07 % (2037601)Instruction limit reached!
% 17.32/3.07 % (2037601)------------------------------
% 17.32/3.07 % (2037601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.32/3.07 % (2037601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.32/3.07 % (2037601)CaDiCaL version: 2.1.3
% 17.32/3.07 % (2037601)Termination reason: Instruction limit
% 17.32/3.07 % (2037601)Termination phase: Saturation
% 17.32/3.07 % (2037601)Time elapsed: 0.252 s
% 17.32/3.07 % (2037601)Peak memory usage: 97 MB
% 17.32/3.07 % (2037601)Instructions burned: 432 (million)
% 17.32/3.07 % (2037552)Refutation found. Thanks to Tanya!
% 17.32/3.07 % SZS status Theorem for theBenchmark
% 17.32/3.07 % SZS output start Proof for theBenchmark
% See solution above
% 17.72/3.27 % (2037552)------------------------------
% 17.72/3.27 % (2037552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.72/3.27 % (2037552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.72/3.27 % (2037552)CaDiCaL version: 2.1.3
% 17.72/3.27 % (2037552)Termination reason: Refutation
% 17.72/3.27 % (2037552)Time elapsed: 2.061 s
% 17.72/3.27 % (2037552)Peak memory usage: 160 MB
% 17.72/3.27 % (2037552)Instructions burned: 3229 (million)
% 17.72/3.27 % (2037552)------------------------------
% 17.72/3.27 % (2037552)------------------------------
% 17.72/3.27 % (2037547)Success in time 2.472 s
% 17.72/3.27 % Vampire exiting
%------------------------------------------------------------------------------