%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU396+1 : 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 12:48:42 PM UTC 2026
% Result : Theorem 133.10s 19.99s
% Output : Refutation 135.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 109
% Number of leaves : 43
% Syntax : Number of formulae : 490 ( 96 unt; 11 def)
% Number of atoms : 2602 ( 142 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 3503 (1391 ~;1696 |; 330 &)
% ( 29 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 37 ( 35 usr; 1 prp; 0-4 aty)
% Number of functors : 39 ( 39 usr; 13 con; 0-4 aty)
% Number of variables : 842 ( 793 !; 49 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f29,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& net_str(X1,X0) )
=> ! [X2] :
( is_often_in(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X1))
=> ? [X4] :
( element(X4,the_carrier(X1))
& related(X1,X3,X4)
& in(apply_netmap(X0,X1,X4),X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_waybel_0) ).
fof(f31,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ! [X2] :
( ( ~ empty(X2)
& filtered_subset(X2,boole_POSet(X1))
& upper_relstr_subset(X2,boole_POSet(X1))
& element(X2,powerset(the_carrier(boole_POSet(X1)))) )
=> ! [X3] :
( ( ~ empty_carrier(X3)
& strict_net_str(X3,X0)
& net_str(X3,X0) )
=> ( X3 = net_of_bool_filter(X0,X1,X2)
<=> ( the_carrier(X3) = a_3_1_yellow19(X0,X1,X2)
& ! [X4] :
( element(X4,the_carrier(X3))
=> ! [X5] :
( element(X5,the_carrier(X3))
=> ( related(X3,X4,X5)
<=> subset(pair_second(X5),pair_second(X4)) ) ) )
& ! [X4] :
( element(X4,the_carrier(X3))
=> apply_netmap(X0,X3,X4) = pair_first(X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_yellow19) ).
fof(f32,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f44,axiom,
! [X0] :
( one_sorted_str(X0)
=> element(cast_as_carrier_subset(X0),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_pre_topc) ).
fof(f48,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0)))
& ~ empty(X2)
& filtered_subset(X2,boole_POSet(X1))
& upper_relstr_subset(X2,boole_POSet(X1))
& element(X2,powerset(the_carrier(boole_POSet(X1)))) )
=> ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0)
& net_str(net_of_bool_filter(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow19) ).
fof(f49,axiom,
! [X0] :
( strict_rel_str(boole_POSet(X0))
& rel_str(boole_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
fof(f51,axiom,
! [X0,X1] :
( ( top_str(X0)
& element(X1,powerset(the_carrier(X0))) )
=> element(topstr_closure(X0,X1),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
fof(f52,axiom,
! [X0] :
( rel_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f53,axiom,
! [X0] :
( top_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f55,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(f58,axiom,
! [X0,X1] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ! [X2] :
( element_as_carrier_subset(X2,X0,X1)
=> element(X2,the_carrier(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_struct_0) ).
fof(f78,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f81,axiom,
! [X0,X1] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& element(X1,the_carrier(X0)) )
=> ( ~ empty(neighborhood_system(X0,X1))
& filtered_subset(neighborhood_system(X0,X1),boole_POSet(cast_as_carrier_subset(X0)))
& upper_relstr_subset(neighborhood_system(X0,X1),boole_POSet(cast_as_carrier_subset(X0)))
& proper_element(neighborhood_system(X0,X1),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_yellow19) ).
fof(f84,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_pre_topc) ).
fof(f95,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0)))
& ~ empty(X2)
& filtered_subset(X2,boole_POSet(X1))
& upper_relstr_subset(X2,boole_POSet(X1))
& element(X2,powerset(the_carrier(boole_POSet(X1)))) )
=> ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& reflexive_relstr(net_of_bool_filter(X0,X1,X2))
& transitive_relstr(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_yellow19) ).
fof(f98,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0)))
& ~ empty(X2)
& filtered_subset(X2,boole_POSet(X1))
& upper_relstr_subset(X2,boole_POSet(X1))
& proper_element(X2,powerset(the_carrier(boole_POSet(X1))))
& element(X2,powerset(the_carrier(boole_POSet(X1)))) )
=> ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& reflexive_relstr(net_of_bool_filter(X0,X1,X2))
& transitive_relstr(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0)
& directed_relstr(net_of_bool_filter(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_yellow19) ).
fof(f103,axiom,
! [X0] :
( ~ empty_carrier(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& directed_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& complete_relstr(boole_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc8_yellow_6) ).
fof(f106,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& ~ empty(X2)
& filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
& upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
& proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
& element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) )
=> ( in(X0,a_2_3_yellow19(X1,X2))
<=> ? [X3,X4] :
( element(X3,the_carrier(X1))
& element_as_carrier_subset(X4,boole_POSet(cast_as_carrier_subset(X1)),X2)
& X0 = ordered_pair(X3,X4)
& in(X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_3_yellow19) ).
fof(f107,axiom,
! [X0,X1,X2,X3] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1)
& ~ empty(X2)
& element(X2,powerset(the_carrier(X1)))
& ~ empty(X3)
& filtered_subset(X3,boole_POSet(X2))
& upper_relstr_subset(X3,boole_POSet(X2))
& element(X3,powerset(the_carrier(boole_POSet(X2)))) )
=> ( in(X0,a_3_1_yellow19(X1,X2,X3))
<=> ? [X4,X5] :
( element(X4,the_carrier(X1))
& element_as_carrier_subset(X5,boole_POSet(X2),X3)
& X0 = ordered_pair(X4,X5)
& in(X4,X5) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_3_1_yellow19) ).
fof(f148,axiom,
! [X0,X1] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ! [X2] :
( element_as_carrier_subset(X2,X0,X1)
<=> element(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_struct_0) ).
fof(f151,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f153,axiom,
! [X0,X1] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(f154,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f155,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ( in(X1,topstr_closure(X0,X2))
=> ! [X3] :
( ( ~ empty(X3)
& filtered_subset(X3,boole_POSet(cast_as_carrier_subset(X0)))
& upper_relstr_subset(X3,boole_POSet(cast_as_carrier_subset(X0)))
& proper_element(X3,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& element(X3,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
=> ( X3 = neighborhood_system(X0,X1)
=> is_often_in(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X3),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_yellow19) ).
fof(f156,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ( in(X1,topstr_closure(X0,X2))
=> ! [X3] :
( ( ~ empty(X3)
& filtered_subset(X3,boole_POSet(cast_as_carrier_subset(X0)))
& upper_relstr_subset(X3,boole_POSet(cast_as_carrier_subset(X0)))
& proper_element(X3,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& element(X3,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
=> ( X3 = neighborhood_system(X0,X1)
=> is_often_in(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X3),X2) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f155]) ).
fof(f157,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f160,axiom,
! [X0,X1] :
( ~ ( ~ disjoint(X0,X1)
& ! [X2] :
~ ( in(X2,X0)
& in(X2,X1) ) )
& ~ ( ? [X2] :
( in(X2,X0)
& in(X2,X1) )
& disjoint(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
fof(f161,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( in(X2,neighborhood_system(X0,X1))
<=> point_neighbourhood(X2,X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_yellow19) ).
fof(f162,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f165,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( in(X2,topstr_closure(X0,X1))
<=> ! [X3] :
( point_neighbourhood(X3,X0,X2)
=> ~ disjoint(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_yellow_6) ).
fof(f166,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f167,axiom,
! [X0,X1] :
( pair_first(ordered_pair(X0,X1)) = X0
& pair_second(ordered_pair(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_mcart_1) ).
fof(f169,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( ~ empty(X1)
& element(X1,powerset(the_carrier(X0))) )
=> ! [X2] :
( ( ~ empty(X2)
& filtered_subset(X2,boole_POSet(X1))
& upper_relstr_subset(X2,boole_POSet(X1))
& element(X2,powerset(the_carrier(boole_POSet(X1)))) )
=> ! [X3] :
( ( ~ empty_carrier(X3)
& strict_net_str(X3,X0)
& net_str(X3,X0) )
=> ( X3 = net_of_bool_filter(X0,X1,X2)
<=> ( the_carrier(X3) = a_3_1_yellow19(X0,X1,X2)
& ! [X4] :
( element(X4,the_carrier(X3))
=> ! [X5] :
( element(X5,the_carrier(X3))
=> ( related(X3,X4,X5)
<=> subset(pair_second(X5),pair_second(X4)) ) ) )
& ! [X6] :
( element(X6,the_carrier(X3))
=> apply_netmap(X0,X3,X6) = pair_first(X6) ) ) ) ) ) ) ),
inference(rectify,[],[f31]) ).
fof(f170,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f151]) ).
fof(f171,plain,
! [X0,X1] :
( ~ ( ~ disjoint(X0,X1)
& ! [X2] :
~ ( in(X2,X0)
& in(X2,X1) ) )
& ~ ( ? [X3] :
( in(X3,X0)
& in(X3,X1) )
& disjoint(X0,X1) ) ),
inference(rectify,[],[f160]) ).
fof(f173,plain,
! [X0] :
( ~ empty_carrier(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& ~ v1_yellow_3(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& complete_relstr(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f103]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0)))
& ~ empty(X2)
& filtered_subset(X2,boole_POSet(X1))
& upper_relstr_subset(X2,boole_POSet(X1))
& proper_element(X2,powerset(the_carrier(boole_POSet(X1))))
& element(X2,powerset(the_carrier(boole_POSet(X1)))) )
=> ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& reflexive_relstr(net_of_bool_filter(X0,X1,X2))
& transitive_relstr(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0) ) ),
inference(pure_predicate_removal,[],[f98]) ).
fof(f196,plain,
! [X0] :
( ~ empty_carrier(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& complete_relstr(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f173]) ).
fof(f278,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_often_in(X0,X1,X2)
<=> ! [X3] :
( ? [X4] :
( element(X4,the_carrier(X1))
& related(X1,X3,X4)
& in(apply_netmap(X0,X1,X4),X2) )
| ~ element(X3,the_carrier(X1)) ) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f279,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_often_in(X0,X1,X2)
<=> ! [X3] :
( ? [X4] :
( element(X4,the_carrier(X1))
& related(X1,X3,X4)
& in(apply_netmap(X0,X1,X4),X2) )
| ~ element(X3,the_carrier(X1)) ) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f278]) ).
fof(f282,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = net_of_bool_filter(X0,X1,X2)
<=> ( the_carrier(X3) = a_3_1_yellow19(X0,X1,X2)
& ! [X4] :
( ! [X5] :
( ( related(X3,X4,X5)
<=> subset(pair_second(X5),pair_second(X4)) )
| ~ element(X5,the_carrier(X3)) )
| ~ element(X4,the_carrier(X3)) )
& ! [X6] :
( apply_netmap(X0,X3,X6) = pair_first(X6)
| ~ element(X6,the_carrier(X3)) ) ) )
| empty_carrier(X3)
| ~ strict_net_str(X3,X0)
| ~ net_str(X3,X0) )
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) )
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f169]) ).
fof(f283,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = net_of_bool_filter(X0,X1,X2)
<=> ( the_carrier(X3) = a_3_1_yellow19(X0,X1,X2)
& ! [X4] :
( ! [X5] :
( ( related(X3,X4,X5)
<=> subset(pair_second(X5),pair_second(X4)) )
| ~ element(X5,the_carrier(X3)) )
| ~ element(X4,the_carrier(X3)) )
& ! [X6] :
( apply_netmap(X0,X3,X6) = pair_first(X6)
| ~ element(X6,the_carrier(X3)) ) ) )
| empty_carrier(X3)
| ~ strict_net_str(X3,X0)
| ~ net_str(X3,X0) )
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) )
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f282]) ).
fof(f293,plain,
! [X0] :
( element(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f296,plain,
! [X0,X1,X2] :
( ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0)
& net_str(net_of_bool_filter(X0,X1,X2),X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(ennf_transformation,[],[f48]) ).
fof(f297,plain,
! [X0,X1,X2] :
( ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0)
& net_str(net_of_bool_filter(X0,X1,X2),X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(flattening,[],[f296]) ).
fof(f298,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(ennf_transformation,[],[f51]) ).
fof(f299,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f298]) ).
fof(f300,plain,
! [X0] :
( one_sorted_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f301,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f302,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f305,plain,
! [X0,X1] :
( ! [X2] :
( element(X2,the_carrier(X0))
| ~ element_as_carrier_subset(X2,X0,X1) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(ennf_transformation,[],[f58]) ).
fof(f306,plain,
! [X0,X1] :
( ! [X2] :
( element(X2,the_carrier(X0))
| ~ element_as_carrier_subset(X2,X0,X1) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f305]) ).
fof(f322,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f323,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f322]) ).
fof(f324,plain,
! [X0,X1] :
( ( ~ empty(neighborhood_system(X0,X1))
& filtered_subset(neighborhood_system(X0,X1),boole_POSet(cast_as_carrier_subset(X0)))
& upper_relstr_subset(neighborhood_system(X0,X1),boole_POSet(cast_as_carrier_subset(X0)))
& proper_element(neighborhood_system(X0,X1),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(ennf_transformation,[],[f81]) ).
fof(f325,plain,
! [X0,X1] :
( ( ~ empty(neighborhood_system(X0,X1))
& filtered_subset(neighborhood_system(X0,X1),boole_POSet(cast_as_carrier_subset(X0)))
& upper_relstr_subset(neighborhood_system(X0,X1),boole_POSet(cast_as_carrier_subset(X0)))
& proper_element(neighborhood_system(X0,X1),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(flattening,[],[f324]) ).
fof(f327,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f328,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f327]) ).
fof(f342,plain,
! [X0,X1,X2] :
( ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& reflexive_relstr(net_of_bool_filter(X0,X1,X2))
& transitive_relstr(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(ennf_transformation,[],[f95]) ).
fof(f343,plain,
! [X0,X1,X2] :
( ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& reflexive_relstr(net_of_bool_filter(X0,X1,X2))
& transitive_relstr(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(flattening,[],[f342]) ).
fof(f348,plain,
! [X0,X1,X2] :
( ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& reflexive_relstr(net_of_bool_filter(X0,X1,X2))
& transitive_relstr(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(X1))))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(ennf_transformation,[],[f175]) ).
fof(f349,plain,
! [X0,X1,X2] :
( ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& reflexive_relstr(net_of_bool_filter(X0,X1,X2))
& transitive_relstr(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(X1))))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(flattening,[],[f348]) ).
fof(f356,plain,
! [X0,X1,X2] :
( ( in(X0,a_2_3_yellow19(X1,X2))
<=> ? [X3,X4] :
( element(X3,the_carrier(X1))
& element_as_carrier_subset(X4,boole_POSet(cast_as_carrier_subset(X1)),X2)
& X0 = ordered_pair(X3,X4)
& in(X3,X4) ) )
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
| ~ element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
inference(ennf_transformation,[],[f106]) ).
fof(f357,plain,
! [X0,X1,X2] :
( ( in(X0,a_2_3_yellow19(X1,X2))
<=> ? [X3,X4] :
( element(X3,the_carrier(X1))
& element_as_carrier_subset(X4,boole_POSet(cast_as_carrier_subset(X1)),X2)
& X0 = ordered_pair(X3,X4)
& in(X3,X4) ) )
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
| ~ element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
inference(flattening,[],[f356]) ).
fof(f358,plain,
! [X0,X1,X2,X3] :
( ( in(X0,a_3_1_yellow19(X1,X2,X3))
<=> ? [X4,X5] :
( element(X4,the_carrier(X1))
& element_as_carrier_subset(X5,boole_POSet(X2),X3)
& X0 = ordered_pair(X4,X5)
& in(X4,X5) ) )
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty(X2)
| ~ element(X2,powerset(the_carrier(X1)))
| empty(X3)
| ~ filtered_subset(X3,boole_POSet(X2))
| ~ upper_relstr_subset(X3,boole_POSet(X2))
| ~ element(X3,powerset(the_carrier(boole_POSet(X2)))) ),
inference(ennf_transformation,[],[f107]) ).
fof(f359,plain,
! [X0,X1,X2,X3] :
( ( in(X0,a_3_1_yellow19(X1,X2,X3))
<=> ? [X4,X5] :
( element(X4,the_carrier(X1))
& element_as_carrier_subset(X5,boole_POSet(X2),X3)
& X0 = ordered_pair(X4,X5)
& in(X4,X5) ) )
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty(X2)
| ~ element(X2,powerset(the_carrier(X1)))
| empty(X3)
| ~ filtered_subset(X3,boole_POSet(X2))
| ~ upper_relstr_subset(X3,boole_POSet(X2))
| ~ element(X3,powerset(the_carrier(boole_POSet(X2)))) ),
inference(flattening,[],[f358]) ).
fof(f400,plain,
! [X0,X1] :
( ! [X2] :
( element_as_carrier_subset(X2,X0,X1)
<=> element(X2,X1) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(ennf_transformation,[],[f148]) ).
fof(f401,plain,
! [X0,X1] :
( ! [X2] :
( element_as_carrier_subset(X2,X0,X1)
<=> element(X2,X1) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f400]) ).
fof(f406,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(ennf_transformation,[],[f153]) ).
fof(f407,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f154]) ).
fof(f408,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ is_often_in(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X3),X2)
& X3 = neighborhood_system(X0,X1)
& ~ empty(X3)
& filtered_subset(X3,boole_POSet(cast_as_carrier_subset(X0)))
& upper_relstr_subset(X3,boole_POSet(cast_as_carrier_subset(X0)))
& proper_element(X3,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& element(X3,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
& in(X1,topstr_closure(X0,X2))
& element(X2,powerset(the_carrier(X0))) )
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) ),
inference(ennf_transformation,[],[f156]) ).
fof(f409,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ is_often_in(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X3),X2)
& X3 = neighborhood_system(X0,X1)
& ~ empty(X3)
& filtered_subset(X3,boole_POSet(cast_as_carrier_subset(X0)))
& upper_relstr_subset(X3,boole_POSet(cast_as_carrier_subset(X0)))
& proper_element(X3,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& element(X3,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
& in(X1,topstr_closure(X0,X2))
& element(X2,powerset(the_carrier(X0))) )
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) ),
inference(flattening,[],[f408]) ).
fof(f410,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f157]) ).
fof(f411,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f410]) ).
fof(f413,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| ? [X2] :
( in(X2,X0)
& in(X2,X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X3,X1) )
| ~ disjoint(X0,X1) ) ),
inference(ennf_transformation,[],[f171]) ).
fof(f414,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,neighborhood_system(X0,X1))
<=> point_neighbourhood(X2,X0,X1) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f161]) ).
fof(f415,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,neighborhood_system(X0,X1))
<=> point_neighbourhood(X2,X0,X1) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f414]) ).
fof(f416,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f162]) ).
fof(f417,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f416]) ).
fof(f420,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( in(X2,topstr_closure(X0,X1))
<=> ! [X3] :
( ~ disjoint(X3,X1)
| ~ point_neighbourhood(X3,X0,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f165]) ).
fof(f421,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( in(X2,topstr_closure(X0,X1))
<=> ! [X3] :
( ~ disjoint(X3,X1)
| ~ point_neighbourhood(X3,X0,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f420]) ).
fof(f422,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(ennf_transformation,[],[f166]) ).
fof(f426,definition,
! [X2,X1,X0,X3] :
( sP1(X2,X1,X0,X3)
<=> ( the_carrier(X3) = a_3_1_yellow19(X0,X1,X2)
& ! [X4] :
( ! [X5] :
( ( related(X3,X4,X5)
<=> subset(pair_second(X5),pair_second(X4)) )
| ~ element(X5,the_carrier(X3)) )
| ~ element(X4,the_carrier(X3)) )
& ! [X6] :
( apply_netmap(X0,X3,X6) = pair_first(X6)
| ~ element(X6,the_carrier(X3)) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f427,definition,
! [X3,X0,X1,X2] :
( ( X3 = net_of_bool_filter(X0,X1,X2)
<=> sP1(X2,X1,X0,X3) )
| ~ sP2(X3,X0,X1,X2) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f428,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( sP2(X3,X0,X1,X2)
| empty_carrier(X3)
| ~ strict_net_str(X3,X0)
| ~ net_str(X3,X0) )
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) )
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(definition_folding,[],[f283,f427,f426]) ).
fof(f432,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( is_often_in(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ element(X4,the_carrier(X1))
| ~ related(X1,X3,X4)
| ~ in(apply_netmap(X0,X1,X4),X2) )
& element(X3,the_carrier(X1)) ) )
& ( ! [X3] :
( ? [X4] :
( element(X4,the_carrier(X1))
& related(X1,X3,X4)
& in(apply_netmap(X0,X1,X4),X2) )
| ~ element(X3,the_carrier(X1)) )
| ~ is_often_in(X0,X1,X2) ) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(nnf_transformation,[],[f279]) ).
fof(f433,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( is_often_in(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ element(X4,the_carrier(X1))
| ~ related(X1,X3,X4)
| ~ in(apply_netmap(X0,X1,X4),X2) )
& element(X3,the_carrier(X1)) ) )
& ( ! [X5] :
( ? [X6] :
( element(X6,the_carrier(X1))
& related(X1,X5,X6)
& in(apply_netmap(X0,X1,X6),X2) )
| ~ element(X5,the_carrier(X1)) )
| ~ is_often_in(X0,X1,X2) ) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(rectify,[],[f432]) ).
fof(f434,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( is_often_in(X0,X1,X2)
| ( ! [X4] :
( ~ element(X4,the_carrier(X1))
| ~ related(X1,sK4(X0,X1,X2),X4)
| ~ in(apply_netmap(X0,X1,X4),X2) )
& element(sK4(X0,X1,X2),the_carrier(X1)) ) )
& ( ! [X5] :
( ( element(sK5(X0,X1,X2,X5),the_carrier(X1))
& related(X1,X5,sK5(X0,X1,X2,X5))
& in(apply_netmap(X0,X1,sK5(X0,X1,X2,X5)),X2) )
| ~ element(X5,the_carrier(X1)) )
| ~ is_often_in(X0,X1,X2) ) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X3,sK4(X0,X1,X2)),skolemize(X6,sK5(X0,X1,X2,X5))],[f433]) ).
fof(f435,plain,
! [X3,X0,X1,X2] :
( ( ( X3 = net_of_bool_filter(X0,X1,X2)
| ~ sP1(X2,X1,X0,X3) )
& ( sP1(X2,X1,X0,X3)
| net_of_bool_filter(X0,X1,X2) != X3 ) )
| ~ sP2(X3,X0,X1,X2) ),
inference(nnf_transformation,[],[f427]) ).
fof(f436,plain,
! [X0,X1,X2,X3] :
( ( ( net_of_bool_filter(X1,X2,X3) = X0
| ~ sP1(X3,X2,X1,X0) )
& ( sP1(X3,X2,X1,X0)
| net_of_bool_filter(X1,X2,X3) != X0 ) )
| ~ sP2(X0,X1,X2,X3) ),
inference(rectify,[],[f435]) ).
fof(f437,plain,
! [X2,X1,X0,X3] :
( ( sP1(X2,X1,X0,X3)
| the_carrier(X3) != a_3_1_yellow19(X0,X1,X2)
| ? [X4] :
( ? [X5] :
( ( ~ subset(pair_second(X5),pair_second(X4))
| ~ related(X3,X4,X5) )
& ( subset(pair_second(X5),pair_second(X4))
| related(X3,X4,X5) )
& element(X5,the_carrier(X3)) )
& element(X4,the_carrier(X3)) )
| ? [X6] :
( apply_netmap(X0,X3,X6) != pair_first(X6)
& element(X6,the_carrier(X3)) ) )
& ( ( the_carrier(X3) = a_3_1_yellow19(X0,X1,X2)
& ! [X4] :
( ! [X5] :
( ( ( related(X3,X4,X5)
| ~ subset(pair_second(X5),pair_second(X4)) )
& ( subset(pair_second(X5),pair_second(X4))
| ~ related(X3,X4,X5) ) )
| ~ element(X5,the_carrier(X3)) )
| ~ element(X4,the_carrier(X3)) )
& ! [X6] :
( apply_netmap(X0,X3,X6) = pair_first(X6)
| ~ element(X6,the_carrier(X3)) ) )
| ~ sP1(X2,X1,X0,X3) ) ),
inference(nnf_transformation,[],[f426]) ).
fof(f438,plain,
! [X2,X1,X0,X3] :
( ( sP1(X2,X1,X0,X3)
| the_carrier(X3) != a_3_1_yellow19(X0,X1,X2)
| ? [X4] :
( ? [X5] :
( ( ~ subset(pair_second(X5),pair_second(X4))
| ~ related(X3,X4,X5) )
& ( subset(pair_second(X5),pair_second(X4))
| related(X3,X4,X5) )
& element(X5,the_carrier(X3)) )
& element(X4,the_carrier(X3)) )
| ? [X6] :
( apply_netmap(X0,X3,X6) != pair_first(X6)
& element(X6,the_carrier(X3)) ) )
& ( ( the_carrier(X3) = a_3_1_yellow19(X0,X1,X2)
& ! [X4] :
( ! [X5] :
( ( ( related(X3,X4,X5)
| ~ subset(pair_second(X5),pair_second(X4)) )
& ( subset(pair_second(X5),pair_second(X4))
| ~ related(X3,X4,X5) ) )
| ~ element(X5,the_carrier(X3)) )
| ~ element(X4,the_carrier(X3)) )
& ! [X6] :
( apply_netmap(X0,X3,X6) = pair_first(X6)
| ~ element(X6,the_carrier(X3)) ) )
| ~ sP1(X2,X1,X0,X3) ) ),
inference(flattening,[],[f437]) ).
fof(f439,plain,
! [X0,X1,X2,X3] :
( ( sP1(X0,X1,X2,X3)
| the_carrier(X3) != a_3_1_yellow19(X2,X1,X0)
| ? [X4] :
( ? [X5] :
( ( ~ subset(pair_second(X5),pair_second(X4))
| ~ related(X3,X4,X5) )
& ( subset(pair_second(X5),pair_second(X4))
| related(X3,X4,X5) )
& element(X5,the_carrier(X3)) )
& element(X4,the_carrier(X3)) )
| ? [X6] :
( pair_first(X6) != apply_netmap(X2,X3,X6)
& element(X6,the_carrier(X3)) ) )
& ( ( the_carrier(X3) = a_3_1_yellow19(X2,X1,X0)
& ! [X7] :
( ! [X8] :
( ( ( related(X3,X7,X8)
| ~ subset(pair_second(X8),pair_second(X7)) )
& ( subset(pair_second(X8),pair_second(X7))
| ~ related(X3,X7,X8) ) )
| ~ element(X8,the_carrier(X3)) )
| ~ element(X7,the_carrier(X3)) )
& ! [X9] :
( apply_netmap(X2,X3,X9) = pair_first(X9)
| ~ element(X9,the_carrier(X3)) ) )
| ~ sP1(X0,X1,X2,X3) ) ),
inference(rectify,[],[f438]) ).
fof(f440,plain,
! [X0,X1,X2,X3] :
( ( sP1(X0,X1,X2,X3)
| the_carrier(X3) != a_3_1_yellow19(X2,X1,X0)
| ( ( ~ subset(pair_second(sK7(X3)),pair_second(sK6(X3)))
| ~ related(X3,sK6(X3),sK7(X3)) )
& ( subset(pair_second(sK7(X3)),pair_second(sK6(X3)))
| related(X3,sK6(X3),sK7(X3)) )
& element(sK7(X3),the_carrier(X3))
& element(sK6(X3),the_carrier(X3)) )
| ( pair_first(sK8(X2,X3)) != apply_netmap(X2,X3,sK8(X2,X3))
& element(sK8(X2,X3),the_carrier(X3)) ) )
& ( ( the_carrier(X3) = a_3_1_yellow19(X2,X1,X0)
& ! [X7] :
( ! [X8] :
( ( ( related(X3,X7,X8)
| ~ subset(pair_second(X8),pair_second(X7)) )
& ( subset(pair_second(X8),pair_second(X7))
| ~ related(X3,X7,X8) ) )
| ~ element(X8,the_carrier(X3)) )
| ~ element(X7,the_carrier(X3)) )
& ! [X9] :
( apply_netmap(X2,X3,X9) = pair_first(X9)
| ~ element(X9,the_carrier(X3)) ) )
| ~ sP1(X0,X1,X2,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X4,sK6(X3)),skolemize(X5,sK7(X3)),skolemize(X6,sK8(X2,X3))],[f439]) ).
fof(f454,plain,
! [X0,X1,X2] :
( ( ( in(X0,a_2_3_yellow19(X1,X2))
| ! [X3,X4] :
( ~ element(X3,the_carrier(X1))
| ~ element_as_carrier_subset(X4,boole_POSet(cast_as_carrier_subset(X1)),X2)
| ordered_pair(X3,X4) != X0
| ~ in(X3,X4) ) )
& ( ? [X3,X4] :
( element(X3,the_carrier(X1))
& element_as_carrier_subset(X4,boole_POSet(cast_as_carrier_subset(X1)),X2)
& X0 = ordered_pair(X3,X4)
& in(X3,X4) )
| ~ in(X0,a_2_3_yellow19(X1,X2)) ) )
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
| ~ element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
inference(nnf_transformation,[],[f357]) ).
fof(f455,plain,
! [X0,X1,X2] :
( ( ( in(X0,a_2_3_yellow19(X1,X2))
| ! [X3,X4] :
( ~ element(X3,the_carrier(X1))
| ~ element_as_carrier_subset(X4,boole_POSet(cast_as_carrier_subset(X1)),X2)
| ordered_pair(X3,X4) != X0
| ~ in(X3,X4) ) )
& ( ? [X5,X6] :
( element(X5,the_carrier(X1))
& element_as_carrier_subset(X6,boole_POSet(cast_as_carrier_subset(X1)),X2)
& ordered_pair(X5,X6) = X0
& in(X5,X6) )
| ~ in(X0,a_2_3_yellow19(X1,X2)) ) )
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
| ~ element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
inference(rectify,[],[f454]) ).
fof(f456,plain,
! [X0,X1,X2] :
( ( ( in(X0,a_2_3_yellow19(X1,X2))
| ! [X3,X4] :
( ~ element(X3,the_carrier(X1))
| ~ element_as_carrier_subset(X4,boole_POSet(cast_as_carrier_subset(X1)),X2)
| ordered_pair(X3,X4) != X0
| ~ in(X3,X4) ) )
& ( ( element(sK19(X0,X1,X2),the_carrier(X1))
& element_as_carrier_subset(sK20(X0,X1,X2),boole_POSet(cast_as_carrier_subset(X1)),X2)
& ordered_pair(sK19(X0,X1,X2),sK20(X0,X1,X2)) = X0
& in(sK19(X0,X1,X2),sK20(X0,X1,X2)) )
| ~ in(X0,a_2_3_yellow19(X1,X2)) ) )
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
| ~ element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20]),skolemize(X5,sK19(X0,X1,X2)),skolemize(X6,sK20(X0,X1,X2))],[f455]) ).
fof(f457,plain,
! [X0,X1,X2,X3] :
( ( ( in(X0,a_3_1_yellow19(X1,X2,X3))
| ! [X4,X5] :
( ~ element(X4,the_carrier(X1))
| ~ element_as_carrier_subset(X5,boole_POSet(X2),X3)
| ordered_pair(X4,X5) != X0
| ~ in(X4,X5) ) )
& ( ? [X4,X5] :
( element(X4,the_carrier(X1))
& element_as_carrier_subset(X5,boole_POSet(X2),X3)
& X0 = ordered_pair(X4,X5)
& in(X4,X5) )
| ~ in(X0,a_3_1_yellow19(X1,X2,X3)) ) )
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty(X2)
| ~ element(X2,powerset(the_carrier(X1)))
| empty(X3)
| ~ filtered_subset(X3,boole_POSet(X2))
| ~ upper_relstr_subset(X3,boole_POSet(X2))
| ~ element(X3,powerset(the_carrier(boole_POSet(X2)))) ),
inference(nnf_transformation,[],[f359]) ).
fof(f458,plain,
! [X0,X1,X2,X3] :
( ( ( in(X0,a_3_1_yellow19(X1,X2,X3))
| ! [X4,X5] :
( ~ element(X4,the_carrier(X1))
| ~ element_as_carrier_subset(X5,boole_POSet(X2),X3)
| ordered_pair(X4,X5) != X0
| ~ in(X4,X5) ) )
& ( ? [X6,X7] :
( element(X6,the_carrier(X1))
& element_as_carrier_subset(X7,boole_POSet(X2),X3)
& ordered_pair(X6,X7) = X0
& in(X6,X7) )
| ~ in(X0,a_3_1_yellow19(X1,X2,X3)) ) )
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty(X2)
| ~ element(X2,powerset(the_carrier(X1)))
| empty(X3)
| ~ filtered_subset(X3,boole_POSet(X2))
| ~ upper_relstr_subset(X3,boole_POSet(X2))
| ~ element(X3,powerset(the_carrier(boole_POSet(X2)))) ),
inference(rectify,[],[f457]) ).
fof(f459,plain,
! [X0,X1,X2,X3] :
( ( ( in(X0,a_3_1_yellow19(X1,X2,X3))
| ! [X4,X5] :
( ~ element(X4,the_carrier(X1))
| ~ element_as_carrier_subset(X5,boole_POSet(X2),X3)
| ordered_pair(X4,X5) != X0
| ~ in(X4,X5) ) )
& ( ( element(sK21(X0,X1,X2,X3),the_carrier(X1))
& element_as_carrier_subset(sK22(X0,X1,X2,X3),boole_POSet(X2),X3)
& ordered_pair(sK21(X0,X1,X2,X3),sK22(X0,X1,X2,X3)) = X0
& in(sK21(X0,X1,X2,X3),sK22(X0,X1,X2,X3)) )
| ~ in(X0,a_3_1_yellow19(X1,X2,X3)) ) )
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty(X2)
| ~ element(X2,powerset(the_carrier(X1)))
| empty(X3)
| ~ filtered_subset(X3,boole_POSet(X2))
| ~ upper_relstr_subset(X3,boole_POSet(X2))
| ~ element(X3,powerset(the_carrier(boole_POSet(X2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22]),skolemize(X6,sK21(X0,X1,X2,X3)),skolemize(X7,sK22(X0,X1,X2,X3))],[f458]) ).
fof(f496,plain,
! [X0,X1] :
( ! [X2] :
( ( element_as_carrier_subset(X2,X0,X1)
| ~ element(X2,X1) )
& ( element(X2,X1)
| ~ element_as_carrier_subset(X2,X0,X1) ) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(nnf_transformation,[],[f401]) ).
fof(f499,plain,
( ~ is_often_in(sK59,net_of_bool_filter(sK59,cast_as_carrier_subset(sK59),sK62),sK61)
& sK62 = neighborhood_system(sK59,sK60)
& ~ empty(sK62)
& filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
& upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
& proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
& element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
& in(sK60,topstr_closure(sK59,sK61))
& element(sK61,powerset(the_carrier(sK59)))
& element(sK60,the_carrier(sK59))
& ~ empty_carrier(sK59)
& topological_space(sK59)
& top_str(sK59) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK59,sK60,sK61,sK62]),skolemize(X0,sK59),skolemize(X1,sK60),skolemize(X2,sK61),skolemize(X3,sK62)],[f409]) ).
fof(f503,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| ( in(sK64(X0,X1),X0)
& in(sK64(X0,X1),X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X3,X1) )
| ~ disjoint(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK64]),skolemize(X2,sK64(X0,X1))],[f413]) ).
fof(f504,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( in(X2,neighborhood_system(X0,X1))
| ~ point_neighbourhood(X2,X0,X1) )
& ( point_neighbourhood(X2,X0,X1)
| ~ in(X2,neighborhood_system(X0,X1)) ) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f415]) ).
fof(f505,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( in(X2,topstr_closure(X0,X1))
| ? [X3] :
( disjoint(X3,X1)
& point_neighbourhood(X3,X0,X2) ) )
& ( ! [X3] :
( ~ disjoint(X3,X1)
| ~ point_neighbourhood(X3,X0,X2) )
| ~ in(X2,topstr_closure(X0,X1)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f421]) ).
fof(f506,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( in(X2,topstr_closure(X0,X1))
| ? [X3] :
( disjoint(X3,X1)
& point_neighbourhood(X3,X0,X2) ) )
& ( ! [X4] :
( ~ disjoint(X4,X1)
| ~ point_neighbourhood(X4,X0,X2) )
| ~ in(X2,topstr_closure(X0,X1)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(rectify,[],[f505]) ).
fof(f507,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( in(X2,topstr_closure(X0,X1))
| ( disjoint(sK65(X0,X1,X2),X1)
& point_neighbourhood(sK65(X0,X1,X2),X0,X2) ) )
& ( ! [X4] :
( ~ disjoint(X4,X1)
| ~ point_neighbourhood(X4,X0,X2) )
| ~ in(X2,topstr_closure(X0,X1)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65]),skolemize(X3,sK65(X0,X1,X2))],[f506]) ).
fof(f573,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f28]) ).
fof(f577,plain,
! [X2,X0,X1] :
( element(sK4(X0,X1,X2),the_carrier(X1))
| is_often_in(X0,X1,X2)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f434]) ).
fof(f578,plain,
! [X2,X0,X1,X4] :
( ~ one_sorted_str(X0)
| ~ element(X4,the_carrier(X1))
| ~ related(X1,sK4(X0,X1,X2),X4)
| ~ in(apply_netmap(X0,X1,X4),X2)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| is_often_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f434]) ).
fof(f580,plain,
! [X2,X3,X0,X1] :
( sP1(X3,X2,X1,X0)
| net_of_bool_filter(X1,X2,X3) != X0
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f436]) ).
fof(f582,plain,
! [X2,X3,X0,X1,X9] :
( ~ sP1(X0,X1,X2,X3)
| ~ element(X9,the_carrier(X3))
| apply_netmap(X2,X3,X9) = pair_first(X9) ),
inference(cnf_transformation,[],[f440]) ).
fof(f584,plain,
! [X2,X3,X0,X1,X8,X7] :
( related(X3,X7,X8)
| ~ subset(pair_second(X8),pair_second(X7))
| ~ element(X8,the_carrier(X3))
| ~ element(X7,the_carrier(X3))
| ~ sP1(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f440]) ).
fof(f585,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0,X1,X2,X3)
| the_carrier(X3) = a_3_1_yellow19(X2,X1,X0) ),
inference(cnf_transformation,[],[f440]) ).
fof(f594,plain,
! [X2,X3,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X3)
| ~ strict_net_str(X3,X0)
| ~ net_str(X3,X0)
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1))))
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty_carrier(X0)
| sP2(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f428]) ).
fof(f595,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f603,plain,
! [X0] :
( ~ one_sorted_str(X0)
| element(cast_as_carrier_subset(X0),powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f293]) ).
fof(f605,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| net_str(net_of_bool_filter(X0,X1,X2),X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(cnf_transformation,[],[f297]) ).
fof(f608,plain,
! [X0] : rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f49]) ).
fof(f610,plain,
! [X0,X1] :
( ~ top_str(X0)
| element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f299]) ).
fof(f611,plain,
! [X0] :
( ~ rel_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f612,plain,
! [X0] :
( ~ top_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f613,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| rel_str(X1) ),
inference(cnf_transformation,[],[f302]) ).
fof(f615,plain,
! [X2,X0,X1] :
( element(X2,the_carrier(X0))
| ~ element_as_carrier_subset(X2,X0,X1)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f306]) ).
fof(f639,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f654,plain,
! [X0,X1] :
( proper_element(neighborhood_system(X0,X1),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(cnf_transformation,[],[f325]) ).
fof(f663,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f689,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| strict_net_str(net_of_bool_filter(X0,X1,X2),X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(cnf_transformation,[],[f343]) ).
fof(f692,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(cnf_transformation,[],[f343]) ).
fof(f699,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| empty_carrier(X0)
| ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(X1))))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(cnf_transformation,[],[f349]) ).
fof(f732,plain,
! [X0] : ~ empty_carrier(boole_POSet(X0)),
inference(cnf_transformation,[],[f196]) ).
fof(f737,plain,
! [X2,X0,X1] :
( ordered_pair(sK19(X0,X1,X2),sK20(X0,X1,X2)) = X0
| ~ in(X0,a_2_3_yellow19(X1,X2))
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
| ~ element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
inference(cnf_transformation,[],[f456]) ).
fof(f738,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
| ~ in(X0,a_2_3_yellow19(X1,X2))
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
| element_as_carrier_subset(sK20(X0,X1,X2),boole_POSet(cast_as_carrier_subset(X1)),X2) ),
inference(cnf_transformation,[],[f456]) ).
fof(f740,plain,
! [X2,X3,X0,X1,X4] :
( in(X0,a_2_3_yellow19(X1,X2))
| ~ element(X3,the_carrier(X1))
| ~ element_as_carrier_subset(X4,boole_POSet(cast_as_carrier_subset(X1)),X2)
| ordered_pair(X3,X4) != X0
| ~ in(X3,X4)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
| ~ element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
inference(cnf_transformation,[],[f456]) ).
fof(f741,plain,
! [X2,X3,X0,X1] :
( in(sK21(X0,X1,X2,X3),sK22(X0,X1,X2,X3))
| ~ in(X0,a_3_1_yellow19(X1,X2,X3))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty(X2)
| ~ element(X2,powerset(the_carrier(X1)))
| empty(X3)
| ~ filtered_subset(X3,boole_POSet(X2))
| ~ upper_relstr_subset(X3,boole_POSet(X2))
| ~ element(X3,powerset(the_carrier(boole_POSet(X2)))) ),
inference(cnf_transformation,[],[f459]) ).
fof(f742,plain,
! [X2,X3,X0,X1] :
( ordered_pair(sK21(X0,X1,X2,X3),sK22(X0,X1,X2,X3)) = X0
| ~ in(X0,a_3_1_yellow19(X1,X2,X3))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty(X2)
| ~ element(X2,powerset(the_carrier(X1)))
| empty(X3)
| ~ filtered_subset(X3,boole_POSet(X2))
| ~ upper_relstr_subset(X3,boole_POSet(X2))
| ~ element(X3,powerset(the_carrier(boole_POSet(X2)))) ),
inference(cnf_transformation,[],[f459]) ).
fof(f743,plain,
! [X2,X3,X0,X1] :
( element_as_carrier_subset(sK22(X0,X1,X2,X3),boole_POSet(X2),X3)
| ~ in(X0,a_3_1_yellow19(X1,X2,X3))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty(X2)
| ~ element(X2,powerset(the_carrier(X1)))
| empty(X3)
| ~ filtered_subset(X3,boole_POSet(X2))
| ~ upper_relstr_subset(X3,boole_POSet(X2))
| ~ element(X3,powerset(the_carrier(boole_POSet(X2)))) ),
inference(cnf_transformation,[],[f459]) ).
fof(f744,plain,
! [X2,X3,X0,X1] :
( element(sK21(X0,X1,X2,X3),the_carrier(X1))
| ~ in(X0,a_3_1_yellow19(X1,X2,X3))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty(X2)
| ~ element(X2,powerset(the_carrier(X1)))
| empty(X3)
| ~ filtered_subset(X3,boole_POSet(X2))
| ~ upper_relstr_subset(X3,boole_POSet(X2))
| ~ element(X3,powerset(the_carrier(boole_POSet(X2)))) ),
inference(cnf_transformation,[],[f459]) ).
fof(f745,plain,
! [X2,X3,X0,X1,X4,X5] :
( in(X0,a_3_1_yellow19(X1,X2,X3))
| ~ element(X4,the_carrier(X1))
| ~ element_as_carrier_subset(X5,boole_POSet(X2),X3)
| ordered_pair(X4,X5) != X0
| ~ in(X4,X5)
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty(X2)
| ~ element(X2,powerset(the_carrier(X1)))
| empty(X3)
| ~ filtered_subset(X3,boole_POSet(X2))
| ~ upper_relstr_subset(X3,boole_POSet(X2))
| ~ element(X3,powerset(the_carrier(boole_POSet(X2)))) ),
inference(cnf_transformation,[],[f459]) ).
fof(f906,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ element_as_carrier_subset(X2,X0,X1)
| empty_carrier(X0)
| element(X2,X1)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f496]) ).
fof(f907,plain,
! [X2,X0,X1] :
( ~ one_sorted_str(X0)
| ~ element(X2,X1)
| empty_carrier(X0)
| element_as_carrier_subset(X2,X0,X1)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f496]) ).
fof(f912,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f170]) ).
fof(f914,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| disjoint(X1,X0) ),
inference(cnf_transformation,[],[f406]) ).
fof(f915,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f407]) ).
fof(f916,plain,
top_str(sK59),
inference(cnf_transformation,[],[f499]) ).
fof(f917,plain,
topological_space(sK59),
inference(cnf_transformation,[],[f499]) ).
fof(f918,plain,
~ empty_carrier(sK59),
inference(cnf_transformation,[],[f499]) ).
fof(f919,plain,
element(sK60,the_carrier(sK59)),
inference(cnf_transformation,[],[f499]) ).
fof(f920,plain,
element(sK61,powerset(the_carrier(sK59))),
inference(cnf_transformation,[],[f499]) ).
fof(f921,plain,
in(sK60,topstr_closure(sK59,sK61)),
inference(cnf_transformation,[],[f499]) ).
fof(f922,plain,
element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))),
inference(cnf_transformation,[],[f499]) ).
fof(f924,plain,
upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59))),
inference(cnf_transformation,[],[f499]) ).
fof(f925,plain,
filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59))),
inference(cnf_transformation,[],[f499]) ).
fof(f926,plain,
~ empty(sK62),
inference(cnf_transformation,[],[f499]) ).
fof(f927,plain,
sK62 = neighborhood_system(sK59,sK60),
inference(cnf_transformation,[],[f499]) ).
fof(f928,plain,
~ is_often_in(sK59,net_of_bool_filter(sK59,cast_as_carrier_subset(sK59),sK62),sK61),
inference(cnf_transformation,[],[f499]) ).
fof(f929,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f411]) ).
fof(f935,plain,
! [X0,X1] :
( in(sK64(X0,X1),X1)
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f503]) ).
fof(f936,plain,
! [X0,X1] :
( in(sK64(X0,X1),X0)
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f503]) ).
fof(f937,plain,
! [X2,X0,X1] :
( point_neighbourhood(X2,X0,X1)
| ~ in(X2,neighborhood_system(X0,X1))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f504]) ).
fof(f939,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f417]) ).
fof(f942,plain,
! [X2,X0,X1,X4] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ point_neighbourhood(X4,X0,X2)
| ~ in(X2,topstr_closure(X0,X1))
| ~ element(X2,the_carrier(X0))
| ~ disjoint(X4,X1)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f507]) ).
fof(f945,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f422]) ).
fof(f946,plain,
! [X0,X1] : pair_second(ordered_pair(X0,X1)) = X1,
inference(cnf_transformation,[],[f167]) ).
fof(f947,plain,
! [X0,X1] : pair_first(ordered_pair(X0,X1)) = X0,
inference(cnf_transformation,[],[f167]) ).
fof(f949,plain,
! [X2,X3,X0,X1,X4] :
( in(X0,a_2_3_yellow19(X1,X2))
| ~ element(X3,the_carrier(X1))
| ~ element_as_carrier_subset(X4,boole_POSet(cast_as_carrier_subset(X1)),X2)
| unordered_pair(unordered_pair(X3,X4),singleton(X3)) != X0
| ~ in(X3,X4)
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
| ~ element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
inference(definition_unfolding,[],[f740,f595]) ).
fof(f950,plain,
! [X2,X0,X1] :
( ~ in(X0,a_2_3_yellow19(X1,X2))
| unordered_pair(unordered_pair(sK19(X0,X1,X2),sK20(X0,X1,X2)),singleton(sK19(X0,X1,X2))) = X0
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
| ~ element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
inference(definition_unfolding,[],[f737,f595]) ).
fof(f951,plain,
! [X2,X3,X0,X1,X4,X5] :
( in(X0,a_3_1_yellow19(X1,X2,X3))
| ~ element(X4,the_carrier(X1))
| ~ element_as_carrier_subset(X5,boole_POSet(X2),X3)
| unordered_pair(unordered_pair(X4,X5),singleton(X4)) != X0
| ~ in(X4,X5)
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty(X2)
| ~ element(X2,powerset(the_carrier(X1)))
| empty(X3)
| ~ filtered_subset(X3,boole_POSet(X2))
| ~ upper_relstr_subset(X3,boole_POSet(X2))
| ~ element(X3,powerset(the_carrier(boole_POSet(X2)))) ),
inference(definition_unfolding,[],[f745,f595]) ).
fof(f952,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,a_3_1_yellow19(X1,X2,X3))
| unordered_pair(unordered_pair(sK21(X0,X1,X2,X3),sK22(X0,X1,X2,X3)),singleton(sK21(X0,X1,X2,X3))) = X0
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty(X2)
| ~ element(X2,powerset(the_carrier(X1)))
| empty(X3)
| ~ filtered_subset(X3,boole_POSet(X2))
| ~ upper_relstr_subset(X3,boole_POSet(X2))
| ~ element(X3,powerset(the_carrier(boole_POSet(X2)))) ),
inference(definition_unfolding,[],[f742,f595]) ).
fof(f953,plain,
! [X0,X1] : pair_first(unordered_pair(unordered_pair(X0,X1),singleton(X0))) = X0,
inference(definition_unfolding,[],[f947,f595]) ).
fof(f954,plain,
! [X0,X1] : pair_second(unordered_pair(unordered_pair(X0,X1),singleton(X0))) = X1,
inference(definition_unfolding,[],[f946,f595]) ).
fof(f955,plain,
! [X2,X3,X1] :
( ~ sP2(net_of_bool_filter(X1,X2,X3),X1,X2,X3)
| sP1(X3,X2,X1,net_of_bool_filter(X1,X2,X3)) ),
inference(equality_resolution,[],[f580]) ).
fof(f957,plain,
! [X2,X3,X1,X4] :
( ~ top_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ element_as_carrier_subset(X4,boole_POSet(cast_as_carrier_subset(X1)),X2)
| ~ in(X3,X4)
| empty_carrier(X1)
| ~ topological_space(X1)
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),a_2_3_yellow19(X1,X2))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X1)))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1)))))
| ~ element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X1))))) ),
inference(equality_resolution,[],[f949]) ).
fof(f958,plain,
! [X2,X3,X1,X4,X5] :
( ~ one_sorted_str(X1)
| ~ element(X4,the_carrier(X1))
| ~ element_as_carrier_subset(X5,boole_POSet(X2),X3)
| ~ in(X4,X5)
| empty_carrier(X1)
| in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),a_3_1_yellow19(X1,X2,X3))
| empty(X2)
| ~ element(X2,powerset(the_carrier(X1)))
| empty(X3)
| ~ filtered_subset(X3,boole_POSet(X2))
| ~ upper_relstr_subset(X3,boole_POSet(X2))
| ~ element(X3,powerset(the_carrier(boole_POSet(X2)))) ),
inference(equality_resolution,[],[f951]) ).
fof(f959,definition,
sF66 = cast_as_carrier_subset(sK59),
introduced(definition,[new_symbols(definition,[sF66])],[function_definition]) ).
fof(f960,plain,
cast_as_carrier_subset(sK59) = sF66,
inference(reorient_equations,[],[f959]) ).
fof(f961,definition,
sF67 = net_of_bool_filter(sK59,sF66,sK62),
introduced(definition,[new_symbols(definition,[sF67])],[function_definition]) ).
fof(f962,plain,
net_of_bool_filter(sK59,sF66,sK62) = sF67,
inference(reorient_equations,[],[f961]) ).
fof(f963,plain,
~ is_often_in(sK59,sF67,sK61),
inference(definition_folding,[],[f928,f962,f960]) ).
fof(f964,definition,
sF68 = neighborhood_system(sK59,sK60),
introduced(definition,[new_symbols(definition,[sF68])],[function_definition]) ).
fof(f965,plain,
neighborhood_system(sK59,sK60) = sF68,
inference(reorient_equations,[],[f964]) ).
fof(f966,plain,
sK62 = sF68,
inference(definition_folding,[],[f927,f965]) ).
fof(f967,definition,
sF69 = boole_POSet(sF66),
introduced(definition,[new_symbols(definition,[sF69])],[function_definition]) ).
fof(f968,plain,
boole_POSet(sF66) = sF69,
inference(reorient_equations,[],[f967]) ).
fof(f969,plain,
filtered_subset(sK62,sF69),
inference(definition_folding,[],[f925,f968,f960]) ).
fof(f970,plain,
upper_relstr_subset(sK62,sF69),
inference(definition_folding,[],[f924,f968,f960]) ).
fof(f971,definition,
sF70 = the_carrier(sF69),
introduced(definition,[new_symbols(definition,[sF70])],[function_definition]) ).
fof(f972,plain,
the_carrier(sF69) = sF70,
inference(reorient_equations,[],[f971]) ).
fof(f973,definition,
sF71 = powerset(sF70),
introduced(definition,[new_symbols(definition,[sF71])],[function_definition]) ).
fof(f974,plain,
powerset(sF70) = sF71,
inference(reorient_equations,[],[f973]) ).
fof(f976,plain,
element(sK62,sF71),
inference(definition_folding,[],[f922,f974,f972,f968,f960]) ).
fof(f977,definition,
sF72 = topstr_closure(sK59,sK61),
introduced(definition,[new_symbols(definition,[sF72])],[function_definition]) ).
fof(f978,plain,
topstr_closure(sK59,sK61) = sF72,
inference(reorient_equations,[],[f977]) ).
fof(f979,plain,
in(sK60,sF72),
inference(definition_folding,[],[f921,f978]) ).
fof(f980,definition,
sF73 = the_carrier(sK59),
introduced(definition,[new_symbols(definition,[sF73])],[function_definition]) ).
fof(f981,plain,
the_carrier(sK59) = sF73,
inference(reorient_equations,[],[f980]) ).
fof(f982,definition,
sF74 = powerset(sF73),
introduced(definition,[new_symbols(definition,[sF74])],[function_definition]) ).
fof(f983,plain,
powerset(sF73) = sF74,
inference(reorient_equations,[],[f982]) ).
fof(f984,plain,
element(sK61,sF74),
inference(definition_folding,[],[f920,f983,f981]) ).
fof(f985,plain,
element(sK60,sF73),
inference(definition_folding,[],[f919,f981]) ).
fof(f987,plain,
net_of_bool_filter(sK59,cast_as_carrier_subset(sK59),sK62) = sF67,
inference(forward_demodulation,[],[f962,f960]) ).
fof(f988,plain,
sK62 = neighborhood_system(sK59,sK60),
inference(forward_demodulation,[],[f965,f966]) ).
fof(f989,plain,
boole_POSet(cast_as_carrier_subset(sK59)) = sF69,
inference(forward_demodulation,[],[f968,f960]) ).
fof(f990,plain,
sF71 = powerset(the_carrier(sF69)),
inference(forward_demodulation,[],[f974,f972]) ).
fof(f991,plain,
powerset(the_carrier(sK59)) = sF74,
inference(forward_demodulation,[],[f983,f981]) ).
fof(f992,plain,
powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))) = sF71,
inference(forward_demodulation,[],[f990,f989]) ).
fof(f993,plain,
filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59))),
inference(superposition,[],[f969,f989]) ).
fof(f994,plain,
upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59))),
inference(superposition,[],[f970,f989]) ).
fof(f997,plain,
! [X0] :
( element(topstr_closure(sK59,X0),powerset(the_carrier(sK59)))
| ~ element(X0,powerset(the_carrier(sK59))) ),
inference(resolution,[],[f916,f610]) ).
fof(f1002,plain,
element(sK60,the_carrier(sK59)),
inference(superposition,[],[f985,f981]) ).
fof(f1003,plain,
element(sK61,powerset(the_carrier(sK59))),
inference(superposition,[],[f984,f991]) ).
fof(f1004,plain,
( proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| empty_carrier(sK59)
| ~ topological_space(sK59)
| ~ top_str(sK59)
| ~ element(sK60,the_carrier(sK59)) ),
inference(superposition,[],[f654,f988]) ).
fof(f1005,plain,
( proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ topological_space(sK59)
| ~ top_str(sK59)
| ~ element(sK60,the_carrier(sK59)) ),
inference(forward_subsumption_resolution,[],[f1004,f918]) ).
fof(f1006,plain,
( proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ top_str(sK59)
| ~ element(sK60,the_carrier(sK59)) ),
inference(forward_subsumption_resolution,[],[f1005,f917]) ).
fof(f1007,plain,
( proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(sK60,the_carrier(sK59)) ),
inference(forward_subsumption_resolution,[],[f1006,f916]) ).
fof(f1008,plain,
proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))),
inference(forward_subsumption_resolution,[],[f1007,f1002]) ).
fof(f1009,plain,
element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))),
inference(superposition,[],[f976,f992]) ).
fof(f1014,plain,
! [X0,X1] :
( ~ point_neighbourhood(X0,sK59,X1)
| ~ in(X1,topstr_closure(sK59,sK61))
| ~ element(X1,the_carrier(sK59))
| ~ disjoint(X0,sK61)
| empty_carrier(sK59)
| ~ topological_space(sK59)
| ~ top_str(sK59) ),
inference(resolution,[],[f1003,f942]) ).
fof(f1015,plain,
! [X0,X1] :
( ~ point_neighbourhood(X0,sK59,X1)
| ~ in(X1,topstr_closure(sK59,sK61))
| ~ element(X1,the_carrier(sK59))
| ~ disjoint(X0,sK61)
| ~ topological_space(sK59)
| ~ top_str(sK59) ),
inference(forward_subsumption_resolution,[],[f1014,f918]) ).
fof(f1016,plain,
! [X0,X1] :
( ~ point_neighbourhood(X0,sK59,X1)
| ~ in(X1,topstr_closure(sK59,sK61))
| ~ element(X1,the_carrier(sK59))
| ~ disjoint(X0,sK61)
| ~ top_str(sK59) ),
inference(forward_subsumption_resolution,[],[f1015,f917]) ).
fof(f1017,plain,
! [X0,X1] :
( ~ point_neighbourhood(X0,sK59,X1)
| ~ in(X1,topstr_closure(sK59,sK61))
| ~ element(X1,the_carrier(sK59))
| ~ disjoint(X0,sK61) ),
inference(forward_subsumption_resolution,[],[f1016,f916]) ).
fof(f1018,plain,
! [X0,X1] :
( ~ disjoint(X0,sK61)
| ~ point_neighbourhood(X0,sK59,X1)
| ~ element(X1,the_carrier(sK59))
| ~ in(X1,sF72) ),
inference(forward_demodulation,[],[f1017,f978]) ).
fof(f1019,plain,
one_sorted_str(sK59),
inference(resolution,[],[f612,f916]) ).
fof(f1020,plain,
! [X0] :
( ~ in(X0,a_2_3_yellow19(sK59,sK62))
| empty_carrier(sK59)
| ~ topological_space(sK59)
| ~ top_str(sK59)
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| element_as_carrier_subset(sK20(X0,sK59,sK62),boole_POSet(cast_as_carrier_subset(sK59)),sK62) ),
inference(resolution,[],[f1009,f738]) ).
fof(f1023,plain,
! [X0] :
( ~ in(X0,a_2_3_yellow19(sK59,sK62))
| ~ topological_space(sK59)
| ~ top_str(sK59)
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| element_as_carrier_subset(sK20(X0,sK59,sK62),boole_POSet(cast_as_carrier_subset(sK59)),sK62) ),
inference(forward_subsumption_resolution,[],[f1020,f918]) ).
fof(f1024,plain,
! [X0] :
( ~ in(X0,a_2_3_yellow19(sK59,sK62))
| ~ top_str(sK59)
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| element_as_carrier_subset(sK20(X0,sK59,sK62),boole_POSet(cast_as_carrier_subset(sK59)),sK62) ),
inference(forward_subsumption_resolution,[],[f1023,f917]) ).
fof(f1025,plain,
! [X0] :
( ~ in(X0,a_2_3_yellow19(sK59,sK62))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| element_as_carrier_subset(sK20(X0,sK59,sK62),boole_POSet(cast_as_carrier_subset(sK59)),sK62) ),
inference(forward_subsumption_resolution,[],[f1024,f916]) ).
fof(f1026,plain,
! [X0] :
( ~ in(X0,a_2_3_yellow19(sK59,sK62))
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| element_as_carrier_subset(sK20(X0,sK59,sK62),boole_POSet(cast_as_carrier_subset(sK59)),sK62) ),
inference(forward_subsumption_resolution,[],[f1025,f926]) ).
fof(f1027,plain,
! [X0] :
( ~ in(X0,a_2_3_yellow19(sK59,sK62))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| element_as_carrier_subset(sK20(X0,sK59,sK62),boole_POSet(cast_as_carrier_subset(sK59)),sK62) ),
inference(forward_subsumption_resolution,[],[f1026,f993]) ).
fof(f1028,plain,
! [X0] :
( ~ in(X0,a_2_3_yellow19(sK59,sK62))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| element_as_carrier_subset(sK20(X0,sK59,sK62),boole_POSet(cast_as_carrier_subset(sK59)),sK62) ),
inference(forward_subsumption_resolution,[],[f1027,f994]) ).
fof(f1029,plain,
! [X0] :
( element_as_carrier_subset(sK20(X0,sK59,sK62),boole_POSet(cast_as_carrier_subset(sK59)),sK62)
| ~ in(X0,a_2_3_yellow19(sK59,sK62)) ),
inference(forward_subsumption_resolution,[],[f1028,f1008]) ).
fof(f1034,plain,
( ~ sP2(sF67,sK59,cast_as_carrier_subset(sK59),sK62)
| sP1(sK62,cast_as_carrier_subset(sK59),sK59,sF67) ),
inference(superposition,[],[f955,f987]) ).
fof(f1054,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(X1))
| ~ related(X1,sK4(sK59,X1,X2),X0)
| ~ in(apply_netmap(sK59,X1,X0),X2)
| empty_carrier(X1)
| ~ net_str(X1,sK59)
| empty_carrier(sK59)
| is_often_in(sK59,X1,X2) ),
inference(resolution,[],[f1019,f578]) ).
fof(f1055,plain,
! [X2,X0,X1] :
( empty_carrier(X0)
| ~ strict_net_str(X0,sK59)
| ~ net_str(X0,sK59)
| empty(X1)
| ~ filtered_subset(X1,boole_POSet(X2))
| ~ upper_relstr_subset(X1,boole_POSet(X2))
| ~ element(X1,powerset(the_carrier(boole_POSet(X2))))
| empty(X2)
| ~ element(X2,powerset(the_carrier(sK59)))
| empty_carrier(sK59)
| sP2(X0,sK59,X2,X1) ),
inference(resolution,[],[f1019,f594]) ).
fof(f1056,plain,
element(cast_as_carrier_subset(sK59),powerset(the_carrier(sK59))),
inference(resolution,[],[f1019,f603]) ).
fof(f1057,plain,
! [X0,X1] :
( empty_carrier(sK59)
| net_str(net_of_bool_filter(sK59,X0,X1),sK59)
| empty(X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| empty(X1)
| ~ filtered_subset(X1,boole_POSet(X0))
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(resolution,[],[f1019,f605]) ).
fof(f1058,plain,
! [X0,X1] :
( empty_carrier(sK59)
| strict_net_str(net_of_bool_filter(sK59,X0,X1),sK59)
| empty(X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| empty(X1)
| ~ filtered_subset(X1,boole_POSet(X0))
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(resolution,[],[f1019,f689]) ).
fof(f1061,plain,
! [X0,X1] :
( empty_carrier(sK59)
| ~ empty_carrier(net_of_bool_filter(sK59,X0,X1))
| empty(X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| empty(X1)
| ~ filtered_subset(X1,boole_POSet(X0))
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(resolution,[],[f1019,f692]) ).
fof(f1065,plain,
! [X0,X1] :
( empty_carrier(sK59)
| ~ empty_carrier(net_of_bool_filter(sK59,X0,X1))
| empty(X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| empty(X1)
| ~ filtered_subset(X1,boole_POSet(X0))
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(resolution,[],[f1019,f699]) ).
fof(f1066,plain,
! [X0,X1] :
( ~ empty_carrier(net_of_bool_filter(sK59,X0,X1))
| empty(X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| empty(X1)
| ~ filtered_subset(X1,boole_POSet(X0))
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(forward_subsumption_resolution,[],[f1065,f918]) ).
fof(f1070,plain,
! [X0,X1] :
( ~ empty_carrier(net_of_bool_filter(sK59,X0,X1))
| empty(X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| empty(X1)
| ~ filtered_subset(X1,boole_POSet(X0))
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(forward_subsumption_resolution,[],[f1061,f918]) ).
fof(f1073,plain,
! [X0,X1] :
( strict_net_str(net_of_bool_filter(sK59,X0,X1),sK59)
| empty(X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| empty(X1)
| ~ filtered_subset(X1,boole_POSet(X0))
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(forward_subsumption_resolution,[],[f1058,f918]) ).
fof(f1074,plain,
! [X0,X1] :
( net_str(net_of_bool_filter(sK59,X0,X1),sK59)
| empty(X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| empty(X1)
| ~ filtered_subset(X1,boole_POSet(X0))
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(forward_subsumption_resolution,[],[f1057,f918]) ).
fof(f1075,plain,
! [X2,X0,X1] :
( ~ strict_net_str(X0,sK59)
| empty_carrier(X0)
| ~ net_str(X0,sK59)
| empty(X1)
| ~ filtered_subset(X1,boole_POSet(X2))
| ~ upper_relstr_subset(X1,boole_POSet(X2))
| ~ element(X1,powerset(the_carrier(boole_POSet(X2))))
| empty(X2)
| ~ element(X2,powerset(the_carrier(sK59)))
| sP2(X0,sK59,X2,X1) ),
inference(forward_subsumption_resolution,[],[f1055,f918]) ).
fof(f1076,plain,
! [X2,X0,X1] :
( ~ net_str(X1,sK59)
| ~ related(X1,sK4(sK59,X1,X2),X0)
| ~ in(apply_netmap(sK59,X1,X0),X2)
| empty_carrier(X1)
| ~ element(X0,the_carrier(X1))
| is_often_in(sK59,X1,X2) ),
inference(forward_subsumption_resolution,[],[f1054,f918]) ).
fof(f1077,plain,
( ~ empty_carrier(sF67)
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(sK59)))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(superposition,[],[f1066,f987]) ).
fof(f1078,plain,
( ~ empty_carrier(sF67)
| empty(cast_as_carrier_subset(sK59))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1077,f1056]) ).
fof(f1079,plain,
( ~ empty_carrier(sF67)
| empty(cast_as_carrier_subset(sK59))
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1078,f926]) ).
fof(f1080,plain,
( ~ empty_carrier(sF67)
| empty(cast_as_carrier_subset(sK59))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1079,f993]) ).
fof(f1081,plain,
( ~ empty_carrier(sF67)
| empty(cast_as_carrier_subset(sK59))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1080,f994]) ).
fof(f1082,plain,
( ~ empty_carrier(sF67)
| empty(cast_as_carrier_subset(sK59))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1081,f1008]) ).
fof(f1083,plain,
( empty(cast_as_carrier_subset(sK59))
| ~ empty_carrier(sF67) ),
inference(forward_subsumption_resolution,[],[f1082,f1009]) ).
fof(f1099,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(sK59))
| ~ element_as_carrier_subset(X1,boole_POSet(cast_as_carrier_subset(sK59)),X2)
| ~ in(X0,X1)
| empty_carrier(sK59)
| ~ topological_space(sK59)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),a_2_3_yellow19(sK59,X2))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(resolution,[],[f957,f916]) ).
fof(f1100,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(sK59))
| ~ element_as_carrier_subset(X1,boole_POSet(cast_as_carrier_subset(sK59)),X2)
| ~ in(X0,X1)
| ~ topological_space(sK59)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),a_2_3_yellow19(sK59,X2))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1099,f918]) ).
fof(f1101,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(sK59))
| ~ element_as_carrier_subset(X1,boole_POSet(cast_as_carrier_subset(sK59)),X2)
| ~ in(X0,X1)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),a_2_3_yellow19(sK59,X2))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1100,f917]) ).
fof(f1102,plain,
! [X2,X0,X1] :
( ~ upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(X0,the_carrier(sK59))
| ~ element_as_carrier_subset(X1,boole_POSet(cast_as_carrier_subset(sK59)),X2)
| ~ in(X0,X1)
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(cast_as_carrier_subset(sK59)))
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),a_2_3_yellow19(sK59,X2))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_demodulation,[],[f1101,f573]) ).
fof(f1103,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK59))
| ~ element_as_carrier_subset(X1,boole_POSet(cast_as_carrier_subset(sK59)),sK62)
| ~ in(X0,X1)
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),a_2_3_yellow19(sK59,sK62))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(resolution,[],[f1102,f994]) ).
fof(f1104,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK59))
| ~ element_as_carrier_subset(X1,boole_POSet(cast_as_carrier_subset(sK59)),sK62)
| ~ in(X0,X1)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),a_2_3_yellow19(sK59,sK62))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1103,f926]) ).
fof(f1105,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK59))
| ~ element_as_carrier_subset(X1,boole_POSet(cast_as_carrier_subset(sK59)),sK62)
| ~ in(X0,X1)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),a_2_3_yellow19(sK59,sK62))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1104,f993]) ).
fof(f1106,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK59))
| ~ element_as_carrier_subset(X1,boole_POSet(cast_as_carrier_subset(sK59)),sK62)
| ~ in(X0,X1)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),a_2_3_yellow19(sK59,sK62))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1105,f1008]) ).
fof(f1107,plain,
! [X0,X1] :
( ~ element_as_carrier_subset(X1,boole_POSet(cast_as_carrier_subset(sK59)),sK62)
| ~ element(X0,the_carrier(sK59))
| ~ in(X0,X1)
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),a_2_3_yellow19(sK59,sK62)) ),
inference(forward_subsumption_resolution,[],[f1106,f1009]) ).
fof(f1121,plain,
( empty_carrier(sK59)
| ~ one_sorted_str(sK59)
| ~ empty_carrier(sF67) ),
inference(resolution,[],[f663,f1083]) ).
fof(f1122,plain,
( ~ one_sorted_str(sK59)
| ~ empty_carrier(sF67) ),
inference(forward_subsumption_resolution,[],[f1121,f918]) ).
fof(f1123,plain,
~ empty_carrier(sF67),
inference(forward_subsumption_resolution,[],[f1122,f1019]) ).
fof(f1131,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty_carrier(sK59)
| element_as_carrier_subset(X0,sK59,X1)
| empty(X1)
| ~ element(X1,powerset(the_carrier(sK59))) ),
inference(resolution,[],[f907,f1019]) ).
fof(f1132,plain,
! [X0,X1] :
( element_as_carrier_subset(X0,sK59,X1)
| ~ element(X0,X1)
| empty(X1)
| ~ element(X1,powerset(the_carrier(sK59))) ),
inference(forward_subsumption_resolution,[],[f1131,f918]) ).
fof(f1137,plain,
! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(sK59))
| ~ element_as_carrier_subset(X1,boole_POSet(X2),X3)
| ~ in(X0,X1)
| empty_carrier(sK59)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),a_3_1_yellow19(sK59,X2,X3))
| empty(X2)
| ~ element(X2,powerset(the_carrier(sK59)))
| empty(X3)
| ~ filtered_subset(X3,boole_POSet(X2))
| ~ upper_relstr_subset(X3,boole_POSet(X2))
| ~ element(X3,powerset(the_carrier(boole_POSet(X2)))) ),
inference(resolution,[],[f958,f1019]) ).
fof(f1138,plain,
! [X2,X3,X0,X1] :
( ~ element(X0,the_carrier(sK59))
| ~ element_as_carrier_subset(X1,boole_POSet(X2),X3)
| ~ in(X0,X1)
| in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),a_3_1_yellow19(sK59,X2,X3))
| empty(X2)
| ~ element(X2,powerset(the_carrier(sK59)))
| empty(X3)
| ~ filtered_subset(X3,boole_POSet(X2))
| ~ upper_relstr_subset(X3,boole_POSet(X2))
| ~ element(X3,powerset(the_carrier(boole_POSet(X2)))) ),
inference(forward_subsumption_resolution,[],[f1137,f918]) ).
fof(f1139,plain,
! [X2,X3,X0,X1] :
( ~ upper_relstr_subset(X3,boole_POSet(X2))
| ~ element(X0,the_carrier(sK59))
| ~ element_as_carrier_subset(X1,boole_POSet(X2),X3)
| ~ in(X0,X1)
| empty(X2)
| ~ element(X2,powerset(the_carrier(sK59)))
| empty(X3)
| ~ filtered_subset(X3,boole_POSet(X2))
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),a_3_1_yellow19(sK59,X2,X3))
| ~ element(X3,powerset(the_carrier(boole_POSet(X2)))) ),
inference(forward_demodulation,[],[f1138,f573]) ).
fof(f1140,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK59))
| ~ element_as_carrier_subset(X1,boole_POSet(cast_as_carrier_subset(sK59)),sK62)
| ~ in(X0,X1)
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(sK59)))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(resolution,[],[f1139,f994]) ).
fof(f1141,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK59))
| ~ element_as_carrier_subset(X1,boole_POSet(cast_as_carrier_subset(sK59)),sK62)
| ~ in(X0,X1)
| empty(cast_as_carrier_subset(sK59))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1140,f1056]) ).
fof(f1142,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK59))
| ~ element_as_carrier_subset(X1,boole_POSet(cast_as_carrier_subset(sK59)),sK62)
| ~ in(X0,X1)
| empty(cast_as_carrier_subset(sK59))
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1141,f926]) ).
fof(f1143,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK59))
| ~ element_as_carrier_subset(X1,boole_POSet(cast_as_carrier_subset(sK59)),sK62)
| ~ in(X0,X1)
| empty(cast_as_carrier_subset(sK59))
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1142,f993]) ).
fof(f1144,plain,
! [X0,X1] :
( empty(cast_as_carrier_subset(sK59))
| ~ element_as_carrier_subset(X1,boole_POSet(cast_as_carrier_subset(sK59)),sK62)
| ~ in(X0,X1)
| ~ element(X0,the_carrier(sK59))
| in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62)) ),
inference(forward_subsumption_resolution,[],[f1143,f1009]) ).
fof(f1175,plain,
! [X0,X1] :
( ~ element_as_carrier_subset(X0,boole_POSet(cast_as_carrier_subset(sK59)),sK62)
| ~ in(X1,X0)
| ~ element(X1,the_carrier(sK59))
| in(unordered_pair(singleton(X1),unordered_pair(X1,X0)),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| empty_carrier(sK59)
| ~ one_sorted_str(sK59) ),
inference(resolution,[],[f1144,f663]) ).
fof(f1177,plain,
! [X0,X1] :
( ~ element_as_carrier_subset(X0,boole_POSet(cast_as_carrier_subset(sK59)),sK62)
| ~ in(X1,X0)
| ~ element(X1,the_carrier(sK59))
| in(unordered_pair(singleton(X1),unordered_pair(X1,X0)),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| ~ one_sorted_str(sK59) ),
inference(forward_subsumption_resolution,[],[f1175,f918]) ).
fof(f1178,plain,
! [X0,X1] :
( ~ element_as_carrier_subset(X0,boole_POSet(cast_as_carrier_subset(sK59)),sK62)
| ~ in(X1,X0)
| ~ element(X1,the_carrier(sK59))
| in(unordered_pair(singleton(X1),unordered_pair(X1,X0)),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62)) ),
inference(forward_subsumption_resolution,[],[f1177,f1019]) ).
fof(f1181,plain,
! [X0,X1] :
( ~ one_sorted_str(X1)
| ~ element(X0,the_carrier(X1))
| empty_carrier(X1)
| in(X0,the_carrier(X1)) ),
inference(resolution,[],[f929,f639]) ).
fof(f1184,plain,
! [X0] :
( ~ element(X0,sK62)
| in(X0,sK62) ),
inference(resolution,[],[f929,f926]) ).
fof(f1194,plain,
! [X2,X3,X0,X1] :
( empty(X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| empty(X1)
| ~ filtered_subset(X1,boole_POSet(X0))
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| empty_carrier(net_of_bool_filter(sK59,X0,X1))
| ~ net_str(net_of_bool_filter(sK59,X0,X1),sK59)
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X3))
| ~ upper_relstr_subset(X2,boole_POSet(X3))
| ~ element(X2,powerset(the_carrier(boole_POSet(X3))))
| empty(X3)
| ~ element(X3,powerset(the_carrier(sK59)))
| sP2(net_of_bool_filter(sK59,X0,X1),sK59,X3,X2) ),
inference(resolution,[],[f1073,f1075]) ).
fof(f1196,plain,
! [X2,X3,X0,X1] :
( empty(X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| empty(X1)
| ~ filtered_subset(X1,boole_POSet(X0))
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ net_str(net_of_bool_filter(sK59,X0,X1),sK59)
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X3))
| ~ upper_relstr_subset(X2,boole_POSet(X3))
| ~ element(X2,powerset(the_carrier(boole_POSet(X3))))
| empty(X3)
| ~ element(X3,powerset(the_carrier(sK59)))
| sP2(net_of_bool_filter(sK59,X0,X1),sK59,X3,X2) ),
inference(forward_subsumption_resolution,[],[f1194,f1070]) ).
fof(f1197,plain,
! [X2,X3,X0,X1] :
( ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X0,powerset(the_carrier(sK59)))
| empty(X1)
| ~ filtered_subset(X1,boole_POSet(X0))
| empty(X0)
| ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X3))
| ~ upper_relstr_subset(X2,boole_POSet(X3))
| ~ element(X2,powerset(the_carrier(boole_POSet(X3))))
| empty(X3)
| ~ element(X3,powerset(the_carrier(sK59)))
| sP2(net_of_bool_filter(sK59,X0,X1),sK59,X3,X2) ),
inference(forward_subsumption_resolution,[],[f1196,f1074]) ).
fof(f1198,plain,
! [X0,X1] :
( ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(sK59)))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| empty(cast_as_carrier_subset(sK59))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| empty(X0)
| ~ filtered_subset(X0,boole_POSet(X1))
| ~ upper_relstr_subset(X0,boole_POSet(X1))
| ~ element(X0,powerset(the_carrier(boole_POSet(X1))))
| empty(X1)
| ~ element(X1,powerset(the_carrier(sK59)))
| sP2(net_of_bool_filter(sK59,cast_as_carrier_subset(sK59),sK62),sK59,X1,X0) ),
inference(resolution,[],[f1197,f994]) ).
fof(f1201,plain,
! [X0,X1] :
( empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| empty(cast_as_carrier_subset(sK59))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| empty(X0)
| ~ filtered_subset(X0,boole_POSet(X1))
| ~ upper_relstr_subset(X0,boole_POSet(X1))
| ~ element(X0,powerset(the_carrier(boole_POSet(X1))))
| empty(X1)
| ~ element(X1,powerset(the_carrier(sK59)))
| sP2(net_of_bool_filter(sK59,cast_as_carrier_subset(sK59),sK62),sK59,X1,X0) ),
inference(forward_subsumption_resolution,[],[f1198,f1056]) ).
fof(f1203,plain,
! [X0,X1] :
( ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| empty(cast_as_carrier_subset(sK59))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| empty(X0)
| ~ filtered_subset(X0,boole_POSet(X1))
| ~ upper_relstr_subset(X0,boole_POSet(X1))
| ~ element(X0,powerset(the_carrier(boole_POSet(X1))))
| empty(X1)
| ~ element(X1,powerset(the_carrier(sK59)))
| sP2(net_of_bool_filter(sK59,cast_as_carrier_subset(sK59),sK62),sK59,X1,X0) ),
inference(forward_subsumption_resolution,[],[f1201,f926]) ).
fof(f1205,plain,
! [X0,X1] :
( empty(cast_as_carrier_subset(sK59))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| empty(X0)
| ~ filtered_subset(X0,boole_POSet(X1))
| ~ upper_relstr_subset(X0,boole_POSet(X1))
| ~ element(X0,powerset(the_carrier(boole_POSet(X1))))
| empty(X1)
| ~ element(X1,powerset(the_carrier(sK59)))
| sP2(net_of_bool_filter(sK59,cast_as_carrier_subset(sK59),sK62),sK59,X1,X0) ),
inference(forward_subsumption_resolution,[],[f1203,f993]) ).
fof(f1206,plain,
! [X0,X1] :
( empty(cast_as_carrier_subset(sK59))
| empty(X0)
| ~ filtered_subset(X0,boole_POSet(X1))
| ~ upper_relstr_subset(X0,boole_POSet(X1))
| ~ element(X0,powerset(the_carrier(boole_POSet(X1))))
| empty(X1)
| ~ element(X1,powerset(the_carrier(sK59)))
| sP2(net_of_bool_filter(sK59,cast_as_carrier_subset(sK59),sK62),sK59,X1,X0) ),
inference(forward_subsumption_resolution,[],[f1205,f1009]) ).
fof(f1207,plain,
! [X0,X1] :
( empty(cast_as_carrier_subset(sK59))
| sP2(sF67,sK59,X1,X0)
| empty(X0)
| ~ filtered_subset(X0,boole_POSet(X1))
| ~ upper_relstr_subset(X0,boole_POSet(X1))
| ~ element(X0,powerset(the_carrier(boole_POSet(X1))))
| empty(X1)
| ~ element(X1,powerset(the_carrier(sK59))) ),
inference(forward_demodulation,[],[f1206,f987]) ).
fof(f1208,plain,
! [X0,X1] :
( sP2(sF67,sK59,X0,X1)
| empty(X1)
| ~ filtered_subset(X1,boole_POSet(X0))
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| empty(X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| empty_carrier(sK59)
| ~ one_sorted_str(sK59) ),
inference(resolution,[],[f1207,f663]) ).
fof(f1211,plain,
! [X0] :
( empty(cast_as_carrier_subset(sK59))
| sP2(sF67,sK59,cast_as_carrier_subset(sK59),X0)
| empty(X0)
| ~ filtered_subset(X0,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(X0,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(X0,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(sK59))) ),
inference(factoring,[],[f1207]) ).
fof(f1212,plain,
! [X0] :
( empty(cast_as_carrier_subset(sK59))
| sP2(sF67,sK59,cast_as_carrier_subset(sK59),X0)
| empty(X0)
| ~ filtered_subset(X0,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(X0,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(X0,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1211,f1056]) ).
fof(f1213,plain,
! [X0,X1] :
( sP2(sF67,sK59,X0,X1)
| empty(X1)
| ~ filtered_subset(X1,boole_POSet(X0))
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| empty(X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| ~ one_sorted_str(sK59) ),
inference(forward_subsumption_resolution,[],[f1208,f918]) ).
fof(f1214,plain,
! [X0,X1] :
( ~ upper_relstr_subset(X1,boole_POSet(X0))
| empty(X1)
| ~ filtered_subset(X1,boole_POSet(X0))
| sP2(sF67,sK59,X0,X1)
| ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| empty(X0)
| ~ element(X0,powerset(the_carrier(sK59))) ),
inference(forward_subsumption_resolution,[],[f1213,f1019]) ).
fof(f1215,plain,
( empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| sP2(sF67,sK59,cast_as_carrier_subset(sK59),sK62)
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(sK59))) ),
inference(resolution,[],[f1214,f994]) ).
fof(f1218,plain,
( ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| sP2(sF67,sK59,cast_as_carrier_subset(sK59),sK62)
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(sK59))) ),
inference(forward_subsumption_resolution,[],[f1215,f926]) ).
fof(f1220,plain,
( sP2(sF67,sK59,cast_as_carrier_subset(sK59),sK62)
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(sK59))) ),
inference(forward_subsumption_resolution,[],[f1218,f993]) ).
fof(f1222,plain,
( sP2(sF67,sK59,cast_as_carrier_subset(sK59),sK62)
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(sK59))) ),
inference(forward_subsumption_resolution,[],[f1220,f1009]) ).
fof(f1223,plain,
( sP2(sF67,sK59,cast_as_carrier_subset(sK59),sK62)
| empty(cast_as_carrier_subset(sK59)) ),
inference(forward_subsumption_resolution,[],[f1222,f1056]) ).
fof(f1224,plain,
( sP1(sK62,cast_as_carrier_subset(sK59),sK59,sF67)
| empty(cast_as_carrier_subset(sK59)) ),
inference(resolution,[],[f1223,f1034]) ).
fof(f1227,plain,
! [X0] :
( sP2(sF67,sK59,cast_as_carrier_subset(sK59),X0)
| empty(X0)
| ~ filtered_subset(X0,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(X0,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(X0,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| empty_carrier(sK59)
| ~ one_sorted_str(sK59) ),
inference(resolution,[],[f1212,f663]) ).
fof(f1230,plain,
! [X0] :
( sP2(sF67,sK59,cast_as_carrier_subset(sK59),X0)
| empty(X0)
| ~ filtered_subset(X0,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(X0,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(X0,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ one_sorted_str(sK59) ),
inference(forward_subsumption_resolution,[],[f1227,f918]) ).
fof(f1231,plain,
! [X0] :
( sP2(sF67,sK59,cast_as_carrier_subset(sK59),X0)
| empty(X0)
| ~ filtered_subset(X0,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(X0,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(X0,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1230,f1019]) ).
fof(f1232,plain,
( empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| sP1(sK62,cast_as_carrier_subset(sK59),sK59,sF67) ),
inference(resolution,[],[f1231,f1034]) ).
fof(f1234,plain,
( ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| sP1(sK62,cast_as_carrier_subset(sK59),sK59,sF67) ),
inference(forward_subsumption_resolution,[],[f1232,f926]) ).
fof(f1235,plain,
( ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| sP1(sK62,cast_as_carrier_subset(sK59),sK59,sF67) ),
inference(forward_subsumption_resolution,[],[f1234,f993]) ).
fof(f1236,plain,
( ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| sP1(sK62,cast_as_carrier_subset(sK59),sK59,sF67) ),
inference(forward_subsumption_resolution,[],[f1235,f994]) ).
fof(f1237,plain,
sP1(sK62,cast_as_carrier_subset(sK59),sK59,sF67),
inference(forward_subsumption_resolution,[],[f1236,f1009]) ).
fof(f1238,plain,
! [X0] :
( apply_netmap(sK59,sF67,X0) = pair_first(X0)
| ~ element(X0,the_carrier(sF67)) ),
inference(resolution,[],[f1237,f582]) ).
fof(f1242,plain,
a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62) = the_carrier(sF67),
inference(resolution,[],[f585,f1237]) ).
fof(f1244,plain,
! [X0] :
( ~ in(X0,the_carrier(sF67))
| unordered_pair(unordered_pair(sK21(X0,sK59,cast_as_carrier_subset(sK59),sK62),sK22(X0,sK59,cast_as_carrier_subset(sK59),sK62)),singleton(sK21(X0,sK59,cast_as_carrier_subset(sK59),sK62))) = X0
| empty_carrier(sK59)
| ~ one_sorted_str(sK59)
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(sK59)))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(superposition,[],[f952,f1242]) ).
fof(f1245,plain,
! [X0] :
( ~ in(X0,the_carrier(sF67))
| unordered_pair(unordered_pair(sK21(X0,sK59,cast_as_carrier_subset(sK59),sK62),sK22(X0,sK59,cast_as_carrier_subset(sK59),sK62)),singleton(sK21(X0,sK59,cast_as_carrier_subset(sK59),sK62))) = X0
| ~ one_sorted_str(sK59)
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(sK59)))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1244,f918]) ).
fof(f1246,plain,
! [X0] :
( ~ in(X0,the_carrier(sF67))
| unordered_pair(unordered_pair(sK21(X0,sK59,cast_as_carrier_subset(sK59),sK62),sK22(X0,sK59,cast_as_carrier_subset(sK59),sK62)),singleton(sK21(X0,sK59,cast_as_carrier_subset(sK59),sK62))) = X0
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(sK59)))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1245,f1019]) ).
fof(f1247,plain,
! [X0] :
( ~ in(X0,the_carrier(sF67))
| unordered_pair(unordered_pair(sK21(X0,sK59,cast_as_carrier_subset(sK59),sK62),sK22(X0,sK59,cast_as_carrier_subset(sK59),sK62)),singleton(sK21(X0,sK59,cast_as_carrier_subset(sK59),sK62))) = X0
| empty(cast_as_carrier_subset(sK59))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1246,f1056]) ).
fof(f1248,plain,
! [X0] :
( ~ in(X0,the_carrier(sF67))
| unordered_pair(unordered_pair(sK21(X0,sK59,cast_as_carrier_subset(sK59),sK62),sK22(X0,sK59,cast_as_carrier_subset(sK59),sK62)),singleton(sK21(X0,sK59,cast_as_carrier_subset(sK59),sK62))) = X0
| empty(cast_as_carrier_subset(sK59))
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1247,f926]) ).
fof(f1249,plain,
! [X0] :
( ~ in(X0,the_carrier(sF67))
| unordered_pair(unordered_pair(sK21(X0,sK59,cast_as_carrier_subset(sK59),sK62),sK22(X0,sK59,cast_as_carrier_subset(sK59),sK62)),singleton(sK21(X0,sK59,cast_as_carrier_subset(sK59),sK62))) = X0
| empty(cast_as_carrier_subset(sK59))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1248,f993]) ).
fof(f1250,plain,
! [X0] :
( ~ in(X0,the_carrier(sF67))
| unordered_pair(unordered_pair(sK21(X0,sK59,cast_as_carrier_subset(sK59),sK62),sK22(X0,sK59,cast_as_carrier_subset(sK59),sK62)),singleton(sK21(X0,sK59,cast_as_carrier_subset(sK59),sK62))) = X0
| empty(cast_as_carrier_subset(sK59))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1249,f994]) ).
fof(f1251,plain,
! [X0] :
( ~ in(X0,the_carrier(sF67))
| unordered_pair(unordered_pair(sK21(X0,sK59,cast_as_carrier_subset(sK59),sK62),sK22(X0,sK59,cast_as_carrier_subset(sK59),sK62)),singleton(sK21(X0,sK59,cast_as_carrier_subset(sK59),sK62))) = X0
| empty(cast_as_carrier_subset(sK59)) ),
inference(forward_subsumption_resolution,[],[f1250,f1009]) ).
fof(f1252,plain,
! [X0] :
( ~ in(X0,the_carrier(sF67))
| unordered_pair(singleton(sK21(X0,sK59,cast_as_carrier_subset(sK59),sK62)),unordered_pair(sK21(X0,sK59,cast_as_carrier_subset(sK59),sK62),sK22(X0,sK59,cast_as_carrier_subset(sK59),sK62))) = X0
| empty(cast_as_carrier_subset(sK59)) ),
inference(forward_demodulation,[],[f1251,f573]) ).
fof(f1268,plain,
! [X0,X1] : pair_second(unordered_pair(unordered_pair(X0,X1),singleton(X1))) = X0,
inference(superposition,[],[f954,f573]) ).
fof(f1270,plain,
! [X0,X1] : pair_second(unordered_pair(singleton(X0),unordered_pair(X0,X1))) = X1,
inference(superposition,[],[f954,f573]) ).
fof(f1271,plain,
! [X0,X1] : pair_second(unordered_pair(singleton(X1),unordered_pair(X0,X1))) = X0,
inference(forward_demodulation,[],[f1268,f573]) ).
fof(f1289,plain,
! [X0,X1] :
( ~ in(X0,sK20(X1,sK59,sK62))
| ~ element(X0,the_carrier(sK59))
| in(unordered_pair(singleton(X0),unordered_pair(X0,sK20(X1,sK59,sK62))),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| ~ in(X1,a_2_3_yellow19(sK59,sK62)) ),
inference(resolution,[],[f1178,f1029]) ).
fof(f1292,plain,
! [X0,X1] :
( ~ in(X1,a_2_3_yellow19(sK59,sK62))
| ~ in(X0,sK20(X1,sK59,sK62))
| ~ element(X0,the_carrier(sK59))
| in(unordered_pair(singleton(X0),unordered_pair(X0,sK20(X1,sK59,sK62))),the_carrier(sF67)) ),
inference(forward_demodulation,[],[f1289,f1242]) ).
fof(f1298,plain,
( net_str(sF67,sK59)
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(sK59)))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(superposition,[],[f1074,f987]) ).
fof(f1299,plain,
( net_str(sF67,sK59)
| empty(cast_as_carrier_subset(sK59))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1298,f1056]) ).
fof(f1301,plain,
( net_str(sF67,sK59)
| empty(cast_as_carrier_subset(sK59))
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1299,f926]) ).
fof(f1302,plain,
( net_str(sF67,sK59)
| empty(cast_as_carrier_subset(sK59))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1301,f993]) ).
fof(f1303,plain,
( net_str(sF67,sK59)
| empty(cast_as_carrier_subset(sK59))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f1302,f994]) ).
fof(f1304,plain,
( net_str(sF67,sK59)
| empty(cast_as_carrier_subset(sK59)) ),
inference(forward_subsumption_resolution,[],[f1303,f1009]) ).
fof(f1306,plain,
! [X0,X1] :
( empty(cast_as_carrier_subset(sK59))
| ~ related(sF67,sK4(sK59,sF67,X0),X1)
| ~ in(apply_netmap(sK59,sF67,X1),X0)
| empty_carrier(sF67)
| ~ element(X1,the_carrier(sF67))
| is_often_in(sK59,sF67,X0) ),
inference(resolution,[],[f1304,f1076]) ).
fof(f1308,plain,
! [X0,X1] :
( is_often_in(sK59,sF67,X0)
| ~ related(sF67,sK4(sK59,sF67,X0),X1)
| ~ in(apply_netmap(sK59,sF67,X1),X0)
| ~ element(X1,the_carrier(sF67))
| empty(cast_as_carrier_subset(sK59)) ),
inference(forward_subsumption_resolution,[],[f1306,f1083]) ).
fof(f1309,plain,
! [X0] :
( ~ in(apply_netmap(sK59,sF67,X0),sK61)
| ~ related(sF67,sK4(sK59,sF67,sK61),X0)
| ~ element(X0,the_carrier(sF67))
| empty(cast_as_carrier_subset(sK59)) ),
inference(resolution,[],[f1308,f963]) ).
fof(f1310,plain,
! [X0] :
( ~ in(pair_first(X0),sK61)
| ~ related(sF67,sK4(sK59,sF67,sK61),X0)
| ~ element(X0,the_carrier(sF67))
| empty(cast_as_carrier_subset(sK59))
| ~ element(X0,the_carrier(sF67)) ),
inference(superposition,[],[f1309,f1238]) ).
fof(f1311,plain,
! [X0] :
( ~ related(sF67,sK4(sK59,sF67,sK61),X0)
| ~ in(pair_first(X0),sK61)
| ~ element(X0,the_carrier(sF67))
| empty(cast_as_carrier_subset(sK59)) ),
inference(duplicate_literal_removal,[],[f1310]) ).
fof(f1312,plain,
! [X0] : one_sorted_str(boole_POSet(X0)),
inference(resolution,[],[f611,f608]) ).
fof(f1325,plain,
! [X2,X0,X1] :
( ~ element_as_carrier_subset(X0,boole_POSet(X1),X2)
| empty_carrier(boole_POSet(X1))
| element(X0,X2)
| empty(X2)
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(resolution,[],[f1312,f906]) ).
fof(f1326,plain,
! [X2,X0,X1] :
( ~ element(X0,X1)
| empty_carrier(boole_POSet(X2))
| element_as_carrier_subset(X0,boole_POSet(X2),X1)
| empty(X1)
| ~ element(X1,powerset(the_carrier(boole_POSet(X2)))) ),
inference(resolution,[],[f1312,f907]) ).
fof(f1331,plain,
! [X2,X0,X1] :
( element_as_carrier_subset(X0,boole_POSet(X2),X1)
| ~ element(X0,X1)
| empty(X1)
| ~ element(X1,powerset(the_carrier(boole_POSet(X2)))) ),
inference(forward_subsumption_resolution,[],[f1326,f732]) ).
fof(f1332,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(the_carrier(boole_POSet(X1))))
| element(X0,X2)
| empty(X2)
| ~ element_as_carrier_subset(X0,boole_POSet(X1),X2) ),
inference(forward_subsumption_resolution,[],[f1325,f732]) ).
fof(f1383,plain,
! [X0,X1] : pair_first(unordered_pair(unordered_pair(X0,X1),singleton(X1))) = X1,
inference(superposition,[],[f953,f573]) ).
fof(f1385,plain,
! [X0,X1] : pair_first(unordered_pair(singleton(X0),unordered_pair(X0,X1))) = X0,
inference(superposition,[],[f953,f573]) ).
fof(f1386,plain,
! [X0,X1] : pair_first(unordered_pair(singleton(X1),unordered_pair(X0,X1))) = X1,
inference(forward_demodulation,[],[f1383,f573]) ).
fof(f1420,plain,
( element(sF72,powerset(the_carrier(sK59)))
| ~ element(sK61,powerset(the_carrier(sK59))) ),
inference(superposition,[],[f997,f978]) ).
fof(f1421,plain,
element(sF72,powerset(the_carrier(sK59))),
inference(forward_subsumption_resolution,[],[f1420,f1003]) ).
fof(f1428,plain,
! [X0] :
( element(X0,the_carrier(sK59))
| ~ in(X0,sF72) ),
inference(resolution,[],[f1421,f939]) ).
fof(f1445,plain,
! [X2,X3,X0,X1] :
( ~ in(pair_first(X0),sK61)
| ~ element(X0,the_carrier(sF67))
| empty(cast_as_carrier_subset(sK59))
| ~ subset(pair_second(X0),pair_second(sK4(sK59,sF67,sK61)))
| ~ element(X0,the_carrier(sF67))
| ~ element(sK4(sK59,sF67,sK61),the_carrier(sF67))
| ~ sP1(X1,X2,X3,sF67) ),
inference(resolution,[],[f1311,f584]) ).
fof(f1446,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X1,X2,X3,sF67)
| ~ element(X0,the_carrier(sF67))
| empty(cast_as_carrier_subset(sK59))
| ~ subset(pair_second(X0),pair_second(sK4(sK59,sF67,sK61)))
| ~ element(sK4(sK59,sF67,sK61),the_carrier(sF67))
| ~ in(pair_first(X0),sK61) ),
inference(duplicate_literal_removal,[],[f1445]) ).
fof(f1472,plain,
! [X0] :
( ~ net_str(X0,sK59)
| rel_str(X0) ),
inference(resolution,[],[f613,f1019]) ).
fof(f1475,plain,
( empty(cast_as_carrier_subset(sK59))
| rel_str(sF67) ),
inference(resolution,[],[f1472,f1304]) ).
fof(f1476,plain,
( rel_str(sF67)
| empty_carrier(sK59)
| ~ one_sorted_str(sK59) ),
inference(resolution,[],[f1475,f663]) ).
fof(f1479,plain,
( rel_str(sF67)
| ~ one_sorted_str(sK59) ),
inference(forward_subsumption_resolution,[],[f1476,f918]) ).
fof(f1480,plain,
rel_str(sF67),
inference(forward_subsumption_resolution,[],[f1479,f1019]) ).
fof(f1484,plain,
one_sorted_str(sF67),
inference(resolution,[],[f1480,f611]) ).
fof(f1653,plain,
! [X0,X1] :
( ~ element(X0,sK62)
| empty(sK62)
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(X1,the_carrier(sK59))
| ~ in(X1,X0)
| in(unordered_pair(singleton(X1),unordered_pair(X1,X0)),a_2_3_yellow19(sK59,sK62)) ),
inference(resolution,[],[f1331,f1107]) ).
fof(f1654,plain,
! [X0,X1] :
( ~ element(X0,sK62)
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(X1,the_carrier(sK59))
| ~ in(X1,X0)
| in(unordered_pair(singleton(X1),unordered_pair(X1,X0)),a_2_3_yellow19(sK59,sK62)) ),
inference(forward_subsumption_resolution,[],[f1653,f926]) ).
fof(f1656,plain,
! [X0,X1] :
( ~ element(X0,sK62)
| ~ element(X1,the_carrier(sK59))
| ~ in(X1,X0)
| in(unordered_pair(singleton(X1),unordered_pair(X1,X0)),a_2_3_yellow19(sK59,sK62)) ),
inference(forward_subsumption_resolution,[],[f1654,f1009]) ).
fof(f1724,plain,
! [X0] :
( ~ element(X0,the_carrier(sF67))
| empty(cast_as_carrier_subset(sK59))
| ~ subset(pair_second(X0),pair_second(sK4(sK59,sF67,sK61)))
| ~ element(sK4(sK59,sF67,sK61),the_carrier(sF67))
| ~ in(pair_first(X0),sK61)
| empty(cast_as_carrier_subset(sK59)) ),
inference(resolution,[],[f1446,f1224]) ).
fof(f1725,plain,
! [X0] :
( ~ element(sK4(sK59,sF67,sK61),the_carrier(sF67))
| empty(cast_as_carrier_subset(sK59))
| ~ subset(pair_second(X0),pair_second(sK4(sK59,sF67,sK61)))
| ~ element(X0,the_carrier(sF67))
| ~ in(pair_first(X0),sK61) ),
inference(duplicate_literal_removal,[],[f1724]) ).
fof(f1726,plain,
! [X0] :
( empty(cast_as_carrier_subset(sK59))
| ~ subset(pair_second(X0),pair_second(sK4(sK59,sF67,sK61)))
| ~ element(X0,the_carrier(sF67))
| ~ in(pair_first(X0),sK61)
| is_often_in(sK59,sF67,sK61)
| empty_carrier(sF67)
| ~ net_str(sF67,sK59)
| empty_carrier(sK59)
| ~ one_sorted_str(sK59) ),
inference(resolution,[],[f1725,f577]) ).
fof(f1730,plain,
! [X0] :
( empty(cast_as_carrier_subset(sK59))
| ~ subset(pair_second(X0),pair_second(sK4(sK59,sF67,sK61)))
| ~ element(X0,the_carrier(sF67))
| ~ in(pair_first(X0),sK61)
| is_often_in(sK59,sF67,sK61)
| ~ net_str(sF67,sK59)
| empty_carrier(sK59)
| ~ one_sorted_str(sK59) ),
inference(forward_subsumption_resolution,[],[f1726,f1083]) ).
fof(f1732,plain,
! [X0] :
( empty(cast_as_carrier_subset(sK59))
| ~ subset(pair_second(X0),pair_second(sK4(sK59,sF67,sK61)))
| ~ element(X0,the_carrier(sF67))
| ~ in(pair_first(X0),sK61)
| is_often_in(sK59,sF67,sK61)
| empty_carrier(sK59)
| ~ one_sorted_str(sK59) ),
inference(forward_subsumption_resolution,[],[f1730,f1304]) ).
fof(f1733,plain,
! [X0] :
( ~ subset(pair_second(X0),pair_second(sK4(sK59,sF67,sK61)))
| ~ element(X0,the_carrier(sF67))
| ~ in(pair_first(X0),sK61)
| is_often_in(sK59,sF67,sK61)
| empty_carrier(sK59)
| ~ one_sorted_str(sK59) ),
inference(forward_subsumption_resolution,[],[f1732,f663]) ).
fof(f1734,plain,
! [X0] :
( ~ subset(pair_second(X0),pair_second(sK4(sK59,sF67,sK61)))
| ~ element(X0,the_carrier(sF67))
| ~ in(pair_first(X0),sK61)
| empty_carrier(sK59)
| ~ one_sorted_str(sK59) ),
inference(forward_subsumption_resolution,[],[f1733,f963]) ).
fof(f1735,plain,
! [X0] :
( ~ subset(pair_second(X0),pair_second(sK4(sK59,sF67,sK61)))
| ~ element(X0,the_carrier(sF67))
| ~ in(pair_first(X0),sK61)
| ~ one_sorted_str(sK59) ),
inference(forward_subsumption_resolution,[],[f1734,f918]) ).
fof(f1736,plain,
! [X0] :
( ~ in(pair_first(X0),sK61)
| ~ element(X0,the_carrier(sF67))
| ~ subset(pair_second(X0),pair_second(sK4(sK59,sF67,sK61))) ),
inference(forward_subsumption_resolution,[],[f1735,f1019]) ).
fof(f1738,plain,
! [X0,X1] :
( ~ in(X0,sK61)
| ~ element(unordered_pair(singleton(X0),unordered_pair(X1,X0)),the_carrier(sF67))
| ~ subset(pair_second(unordered_pair(singleton(X0),unordered_pair(X1,X0))),pair_second(sK4(sK59,sF67,sK61))) ),
inference(superposition,[],[f1736,f1386]) ).
fof(f1741,plain,
! [X0,X1] :
( ~ subset(X1,pair_second(sK4(sK59,sF67,sK61)))
| ~ in(X0,sK61)
| ~ element(unordered_pair(singleton(X0),unordered_pair(X1,X0)),the_carrier(sF67)) ),
inference(forward_demodulation,[],[f1738,f1271]) ).
fof(f1745,plain,
! [X0] :
( ~ in(X0,sK61)
| ~ element(unordered_pair(singleton(X0),unordered_pair(pair_second(sK4(sK59,sF67,sK61)),X0)),the_carrier(sF67)) ),
inference(resolution,[],[f1741,f912]) ).
fof(f1750,plain,
! [X0] :
( ~ element(unordered_pair(singleton(sK64(sK61,X0)),unordered_pair(pair_second(sK4(sK59,sF67,sK61)),sK64(sK61,X0))),the_carrier(sF67))
| disjoint(sK61,X0) ),
inference(resolution,[],[f1745,f936]) ).
fof(f2002,plain,
! [X0] :
( ~ in(unordered_pair(singleton(sK64(sK61,X0)),unordered_pair(pair_second(sK4(sK59,sF67,sK61)),sK64(sK61,X0))),the_carrier(sF67))
| disjoint(sK61,X0) ),
inference(resolution,[],[f1750,f915]) ).
fof(f2085,plain,
! [X0] :
( ~ element(X0,the_carrier(sF67))
| empty_carrier(sF67)
| in(X0,the_carrier(sF67)) ),
inference(resolution,[],[f1181,f1484]) ).
fof(f2086,plain,
! [X0] :
( ~ element(X0,the_carrier(sF67))
| in(X0,the_carrier(sF67)) ),
inference(forward_subsumption_resolution,[],[f2085,f1123]) ).
fof(f2095,plain,
! [X0] :
( element(X0,sK62)
| empty(sK62)
| ~ element_as_carrier_subset(X0,boole_POSet(cast_as_carrier_subset(sK59)),sK62) ),
inference(resolution,[],[f1332,f1009]) ).
fof(f2096,plain,
! [X0] :
( ~ element_as_carrier_subset(X0,boole_POSet(cast_as_carrier_subset(sK59)),sK62)
| element(X0,sK62) ),
inference(forward_subsumption_resolution,[],[f2095,f926]) ).
fof(f2098,plain,
! [X0,X1] :
( element(sK22(X0,X1,cast_as_carrier_subset(sK59),sK62),sK62)
| ~ in(X0,a_3_1_yellow19(X1,cast_as_carrier_subset(sK59),sK62))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(X1)))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(resolution,[],[f2096,f743]) ).
fof(f2100,plain,
! [X0,X1] :
( element(sK22(X0,X1,cast_as_carrier_subset(sK59),sK62),sK62)
| ~ in(X0,a_3_1_yellow19(X1,cast_as_carrier_subset(sK59),sK62))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(X1)))
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f2098,f926]) ).
fof(f2101,plain,
! [X0,X1] :
( element(sK22(X0,X1,cast_as_carrier_subset(sK59),sK62),sK62)
| ~ in(X0,a_3_1_yellow19(X1,cast_as_carrier_subset(sK59),sK62))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(X1)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f2100,f993]) ).
fof(f2102,plain,
! [X0,X1] :
( element(sK22(X0,X1,cast_as_carrier_subset(sK59),sK62),sK62)
| ~ in(X0,a_3_1_yellow19(X1,cast_as_carrier_subset(sK59),sK62))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(X1)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f2101,f994]) ).
fof(f2103,plain,
! [X0,X1] :
( empty(cast_as_carrier_subset(sK59))
| ~ in(X0,a_3_1_yellow19(X1,cast_as_carrier_subset(sK59),sK62))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| element(sK22(X0,X1,cast_as_carrier_subset(sK59),sK62),sK62)
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(X1))) ),
inference(forward_subsumption_resolution,[],[f2102,f1009]) ).
fof(f2110,plain,
! [X0,X1] :
( ~ in(X0,a_3_1_yellow19(X1,cast_as_carrier_subset(sK59),sK62))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| element(sK22(X0,X1,cast_as_carrier_subset(sK59),sK62),sK62)
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(X1)))
| empty_carrier(sK59)
| ~ one_sorted_str(sK59) ),
inference(resolution,[],[f2103,f663]) ).
fof(f2113,plain,
! [X0,X1] :
( ~ in(X0,a_3_1_yellow19(X1,cast_as_carrier_subset(sK59),sK62))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| element(sK22(X0,X1,cast_as_carrier_subset(sK59),sK62),sK62)
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(X1)))
| ~ one_sorted_str(sK59) ),
inference(forward_subsumption_resolution,[],[f2110,f918]) ).
fof(f2114,plain,
! [X0,X1] :
( ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(X1)))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| element(sK22(X0,X1,cast_as_carrier_subset(sK59),sK62),sK62)
| ~ in(X0,a_3_1_yellow19(X1,cast_as_carrier_subset(sK59),sK62)) ),
inference(forward_subsumption_resolution,[],[f2113,f1019]) ).
fof(f2115,plain,
! [X0] :
( empty_carrier(sK59)
| ~ one_sorted_str(sK59)
| element(sK22(X0,sK59,cast_as_carrier_subset(sK59),sK62),sK62)
| ~ in(X0,a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62)) ),
inference(resolution,[],[f2114,f1056]) ).
fof(f2119,plain,
! [X0] :
( ~ one_sorted_str(sK59)
| element(sK22(X0,sK59,cast_as_carrier_subset(sK59),sK62),sK62)
| ~ in(X0,a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62)) ),
inference(forward_subsumption_resolution,[],[f2115,f918]) ).
fof(f2121,plain,
! [X0] :
( element(sK22(X0,sK59,cast_as_carrier_subset(sK59),sK62),sK62)
| ~ in(X0,a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62)) ),
inference(forward_subsumption_resolution,[],[f2119,f1019]) ).
fof(f2123,plain,
! [X0] :
( element(sK22(X0,sK59,cast_as_carrier_subset(sK59),sK62),sK62)
| ~ in(X0,the_carrier(sF67)) ),
inference(forward_demodulation,[],[f2121,f1242]) ).
fof(f2126,plain,
! [X0] :
( ~ in(X0,the_carrier(sF67))
| in(sK22(X0,sK59,cast_as_carrier_subset(sK59),sK62),sK62) ),
inference(resolution,[],[f2123,f1184]) ).
fof(f4207,plain,
! [X0,X1] :
( in(sK4(X0,sF67,X1),the_carrier(sF67))
| is_often_in(X0,sF67,X1)
| empty_carrier(sF67)
| ~ net_str(sF67,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(resolution,[],[f2086,f577]) ).
fof(f4219,plain,
! [X0,X1] :
( ~ net_str(sF67,X0)
| is_often_in(X0,sF67,X1)
| in(sK4(X0,sF67,X1),the_carrier(sF67))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(forward_subsumption_resolution,[],[f4207,f1123]) ).
fof(f4225,plain,
! [X0] :
( is_often_in(sK59,sF67,X0)
| in(sK4(sK59,sF67,X0),the_carrier(sF67))
| empty_carrier(sK59)
| ~ one_sorted_str(sK59)
| empty(cast_as_carrier_subset(sK59)) ),
inference(resolution,[],[f4219,f1304]) ).
fof(f4226,plain,
! [X0] :
( is_often_in(sK59,sF67,X0)
| in(sK4(sK59,sF67,X0),the_carrier(sF67))
| ~ one_sorted_str(sK59)
| empty(cast_as_carrier_subset(sK59)) ),
inference(forward_subsumption_resolution,[],[f4225,f918]) ).
fof(f4227,plain,
! [X0] :
( is_often_in(sK59,sF67,X0)
| in(sK4(sK59,sF67,X0),the_carrier(sF67))
| empty(cast_as_carrier_subset(sK59)) ),
inference(forward_subsumption_resolution,[],[f4226,f1019]) ).
fof(f4228,plain,
( empty(cast_as_carrier_subset(sK59))
| in(sK4(sK59,sF67,sK61),the_carrier(sF67)) ),
inference(resolution,[],[f4227,f963]) ).
fof(f4237,plain,
( in(sK4(sK59,sF67,sK61),the_carrier(sF67))
| empty_carrier(sK59)
| ~ one_sorted_str(sK59) ),
inference(resolution,[],[f4228,f663]) ).
fof(f4245,plain,
( in(sK4(sK59,sF67,sK61),the_carrier(sF67))
| ~ one_sorted_str(sK59) ),
inference(forward_subsumption_resolution,[],[f4237,f918]) ).
fof(f4246,plain,
in(sK4(sK59,sF67,sK61),the_carrier(sF67)),
inference(forward_subsumption_resolution,[],[f4245,f1019]) ).
fof(f4251,plain,
in(sK22(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62),sK62),
inference(resolution,[],[f4246,f2126]) ).
fof(f4253,plain,
( empty(cast_as_carrier_subset(sK59))
| sK4(sK59,sF67,sK61) = unordered_pair(singleton(sK21(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62)),unordered_pair(sK21(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62),sK22(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62))) ),
inference(resolution,[],[f4246,f1252]) ).
fof(f4274,plain,
( sK4(sK59,sF67,sK61) = unordered_pair(singleton(sK21(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62)),unordered_pair(sK21(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62),sK22(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62)))
| empty_carrier(sK59)
| ~ one_sorted_str(sK59) ),
inference(resolution,[],[f4253,f663]) ).
fof(f4282,plain,
( sK4(sK59,sF67,sK61) = unordered_pair(singleton(sK21(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62)),unordered_pair(sK21(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62),sK22(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62)))
| ~ one_sorted_str(sK59) ),
inference(forward_subsumption_resolution,[],[f4274,f918]) ).
fof(f4283,plain,
sK4(sK59,sF67,sK61) = unordered_pair(singleton(sK21(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62)),unordered_pair(sK21(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62),sK22(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62))),
inference(forward_subsumption_resolution,[],[f4282,f1019]) ).
fof(f4284,plain,
pair_first(sK4(sK59,sF67,sK61)) = sK21(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62),
inference(superposition,[],[f1385,f4283]) ).
fof(f4285,plain,
pair_second(sK4(sK59,sF67,sK61)) = sK22(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62),
inference(superposition,[],[f1270,f4283]) ).
fof(f4300,plain,
sK4(sK59,sF67,sK61) = unordered_pair(singleton(pair_first(sK4(sK59,sF67,sK61))),unordered_pair(pair_first(sK4(sK59,sF67,sK61)),sK22(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62))),
inference(superposition,[],[f4283,f4284]) ).
fof(f4302,plain,
( element(pair_first(sK4(sK59,sF67,sK61)),the_carrier(sK59))
| ~ in(sK4(sK59,sF67,sK61),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| empty_carrier(sK59)
| ~ one_sorted_str(sK59)
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(sK59)))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(superposition,[],[f744,f4284]) ).
fof(f4303,plain,
( in(pair_first(sK4(sK59,sF67,sK61)),sK22(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62))
| ~ in(sK4(sK59,sF67,sK61),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| empty_carrier(sK59)
| ~ one_sorted_str(sK59)
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(sK59)))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(superposition,[],[f741,f4284]) ).
fof(f4304,plain,
( in(pair_first(sK4(sK59,sF67,sK61)),sK22(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62))
| ~ in(sK4(sK59,sF67,sK61),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| ~ one_sorted_str(sK59)
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(sK59)))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f4303,f918]) ).
fof(f4305,plain,
( element(pair_first(sK4(sK59,sF67,sK61)),the_carrier(sK59))
| ~ in(sK4(sK59,sF67,sK61),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| ~ one_sorted_str(sK59)
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(sK59)))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f4302,f918]) ).
fof(f4307,plain,
sK4(sK59,sF67,sK61) = unordered_pair(singleton(pair_first(sK4(sK59,sF67,sK61))),unordered_pair(pair_first(sK4(sK59,sF67,sK61)),pair_second(sK4(sK59,sF67,sK61)))),
inference(forward_demodulation,[],[f4300,f4285]) ).
fof(f4308,plain,
( in(pair_first(sK4(sK59,sF67,sK61)),sK22(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62))
| ~ in(sK4(sK59,sF67,sK61),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(sK59)))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f4304,f1019]) ).
fof(f4309,plain,
( element(pair_first(sK4(sK59,sF67,sK61)),the_carrier(sK59))
| ~ in(sK4(sK59,sF67,sK61),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| empty(cast_as_carrier_subset(sK59))
| ~ element(cast_as_carrier_subset(sK59),powerset(the_carrier(sK59)))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f4305,f1019]) ).
fof(f4310,plain,
sK4(sK59,sF67,sK61) = unordered_pair(singleton(pair_first(sK4(sK59,sF67,sK61))),unordered_pair(pair_second(sK4(sK59,sF67,sK61)),pair_first(sK4(sK59,sF67,sK61)))),
inference(forward_demodulation,[],[f4307,f573]) ).
fof(f4311,plain,
( in(pair_first(sK4(sK59,sF67,sK61)),sK22(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62))
| ~ in(sK4(sK59,sF67,sK61),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| empty(cast_as_carrier_subset(sK59))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f4308,f1056]) ).
fof(f4312,plain,
( element(pair_first(sK4(sK59,sF67,sK61)),the_carrier(sK59))
| ~ in(sK4(sK59,sF67,sK61),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| empty(cast_as_carrier_subset(sK59))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f4309,f1056]) ).
fof(f4313,plain,
( in(pair_first(sK4(sK59,sF67,sK61)),sK22(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62))
| ~ in(sK4(sK59,sF67,sK61),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| empty(cast_as_carrier_subset(sK59))
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f4311,f926]) ).
fof(f4314,plain,
( element(pair_first(sK4(sK59,sF67,sK61)),the_carrier(sK59))
| ~ in(sK4(sK59,sF67,sK61),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| empty(cast_as_carrier_subset(sK59))
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f4312,f926]) ).
fof(f4315,plain,
( in(pair_first(sK4(sK59,sF67,sK61)),sK22(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62))
| ~ in(sK4(sK59,sF67,sK61),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| empty(cast_as_carrier_subset(sK59))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f4313,f993]) ).
fof(f4316,plain,
( element(pair_first(sK4(sK59,sF67,sK61)),the_carrier(sK59))
| ~ in(sK4(sK59,sF67,sK61),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| empty(cast_as_carrier_subset(sK59))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f4314,f993]) ).
fof(f4317,plain,
( in(pair_first(sK4(sK59,sF67,sK61)),sK22(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62))
| ~ in(sK4(sK59,sF67,sK61),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| empty(cast_as_carrier_subset(sK59))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f4315,f994]) ).
fof(f4318,plain,
( element(pair_first(sK4(sK59,sF67,sK61)),the_carrier(sK59))
| ~ in(sK4(sK59,sF67,sK61),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| empty(cast_as_carrier_subset(sK59))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f4316,f994]) ).
fof(f4319,plain,
( in(pair_first(sK4(sK59,sF67,sK61)),sK22(sK4(sK59,sF67,sK61),sK59,cast_as_carrier_subset(sK59),sK62))
| ~ in(sK4(sK59,sF67,sK61),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| empty(cast_as_carrier_subset(sK59)) ),
inference(forward_subsumption_resolution,[],[f4317,f1009]) ).
fof(f4320,plain,
( element(pair_first(sK4(sK59,sF67,sK61)),the_carrier(sK59))
| ~ in(sK4(sK59,sF67,sK61),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| empty(cast_as_carrier_subset(sK59)) ),
inference(forward_subsumption_resolution,[],[f4318,f1009]) ).
fof(f4321,plain,
( in(pair_first(sK4(sK59,sF67,sK61)),pair_second(sK4(sK59,sF67,sK61)))
| ~ in(sK4(sK59,sF67,sK61),a_3_1_yellow19(sK59,cast_as_carrier_subset(sK59),sK62))
| empty(cast_as_carrier_subset(sK59)) ),
inference(forward_demodulation,[],[f4319,f4285]) ).
fof(f4322,plain,
( ~ in(sK4(sK59,sF67,sK61),the_carrier(sF67))
| element(pair_first(sK4(sK59,sF67,sK61)),the_carrier(sK59))
| empty(cast_as_carrier_subset(sK59)) ),
inference(forward_demodulation,[],[f4320,f1242]) ).
fof(f4323,plain,
( ~ in(sK4(sK59,sF67,sK61),the_carrier(sF67))
| in(pair_first(sK4(sK59,sF67,sK61)),pair_second(sK4(sK59,sF67,sK61)))
| empty(cast_as_carrier_subset(sK59)) ),
inference(forward_demodulation,[],[f4321,f1242]) ).
fof(f4324,plain,
( element(pair_first(sK4(sK59,sF67,sK61)),the_carrier(sK59))
| empty(cast_as_carrier_subset(sK59)) ),
inference(forward_subsumption_resolution,[],[f4322,f4228]) ).
fof(f4325,plain,
( in(pair_first(sK4(sK59,sF67,sK61)),pair_second(sK4(sK59,sF67,sK61)))
| empty(cast_as_carrier_subset(sK59)) ),
inference(forward_subsumption_resolution,[],[f4323,f4228]) ).
fof(f4333,plain,
in(pair_second(sK4(sK59,sF67,sK61)),sK62),
inference(superposition,[],[f4251,f4285]) ).
fof(f4334,plain,
( element(pair_second(sK4(sK59,sF67,sK61)),sK62)
| ~ in(sK4(sK59,sF67,sK61),the_carrier(sF67)) ),
inference(superposition,[],[f2123,f4285]) ).
fof(f4340,plain,
element(pair_second(sK4(sK59,sF67,sK61)),sK62),
inference(forward_subsumption_resolution,[],[f4334,f4246]) ).
fof(f4359,plain,
! [X0] :
( ~ in(X0,pair_second(sK4(sK59,sF67,sK61)))
| ~ element(X0,the_carrier(sK59))
| in(unordered_pair(singleton(X0),unordered_pair(X0,pair_second(sK4(sK59,sF67,sK61)))),a_2_3_yellow19(sK59,sK62)) ),
inference(resolution,[],[f4340,f1656]) ).
fof(f4451,plain,
( ~ element(pair_first(sK4(sK59,sF67,sK61)),the_carrier(sK59))
| in(unordered_pair(singleton(pair_first(sK4(sK59,sF67,sK61))),unordered_pair(pair_first(sK4(sK59,sF67,sK61)),pair_second(sK4(sK59,sF67,sK61)))),a_2_3_yellow19(sK59,sK62))
| empty(cast_as_carrier_subset(sK59)) ),
inference(resolution,[],[f4359,f4325]) ).
fof(f4458,plain,
( in(unordered_pair(singleton(pair_first(sK4(sK59,sF67,sK61))),unordered_pair(pair_first(sK4(sK59,sF67,sK61)),pair_second(sK4(sK59,sF67,sK61)))),a_2_3_yellow19(sK59,sK62))
| empty(cast_as_carrier_subset(sK59)) ),
inference(forward_subsumption_resolution,[],[f4451,f4324]) ).
fof(f4459,plain,
( in(unordered_pair(singleton(pair_first(sK4(sK59,sF67,sK61))),unordered_pair(pair_second(sK4(sK59,sF67,sK61)),pair_first(sK4(sK59,sF67,sK61)))),a_2_3_yellow19(sK59,sK62))
| empty(cast_as_carrier_subset(sK59)) ),
inference(forward_demodulation,[],[f4458,f573]) ).
fof(f4460,plain,
( empty(cast_as_carrier_subset(sK59))
| in(sK4(sK59,sF67,sK61),a_2_3_yellow19(sK59,sK62)) ),
inference(forward_demodulation,[],[f4459,f4310]) ).
fof(f4461,plain,
( in(sK4(sK59,sF67,sK61),a_2_3_yellow19(sK59,sK62))
| empty_carrier(sK59)
| ~ one_sorted_str(sK59) ),
inference(resolution,[],[f4460,f663]) ).
fof(f4469,plain,
( in(sK4(sK59,sF67,sK61),a_2_3_yellow19(sK59,sK62))
| ~ one_sorted_str(sK59) ),
inference(forward_subsumption_resolution,[],[f4461,f918]) ).
fof(f4470,plain,
in(sK4(sK59,sF67,sK61),a_2_3_yellow19(sK59,sK62)),
inference(forward_subsumption_resolution,[],[f4469,f1019]) ).
fof(f4474,plain,
! [X0] :
( ~ in(X0,sK20(sK4(sK59,sF67,sK61),sK59,sK62))
| ~ element(X0,the_carrier(sK59))
| in(unordered_pair(singleton(X0),unordered_pair(X0,sK20(sK4(sK59,sF67,sK61),sK59,sK62))),the_carrier(sF67)) ),
inference(resolution,[],[f4470,f1292]) ).
fof(f4476,plain,
( sK4(sK59,sF67,sK61) = unordered_pair(unordered_pair(sK19(sK4(sK59,sF67,sK61),sK59,sK62),sK20(sK4(sK59,sF67,sK61),sK59,sK62)),singleton(sK19(sK4(sK59,sF67,sK61),sK59,sK62)))
| empty_carrier(sK59)
| ~ topological_space(sK59)
| ~ top_str(sK59)
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(resolution,[],[f4470,f950]) ).
fof(f4479,plain,
( sK4(sK59,sF67,sK61) = unordered_pair(unordered_pair(sK19(sK4(sK59,sF67,sK61),sK59,sK62),sK20(sK4(sK59,sF67,sK61),sK59,sK62)),singleton(sK19(sK4(sK59,sF67,sK61),sK59,sK62)))
| ~ topological_space(sK59)
| ~ top_str(sK59)
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f4476,f918]) ).
fof(f4480,plain,
( sK4(sK59,sF67,sK61) = unordered_pair(unordered_pair(sK19(sK4(sK59,sF67,sK61),sK59,sK62),sK20(sK4(sK59,sF67,sK61),sK59,sK62)),singleton(sK19(sK4(sK59,sF67,sK61),sK59,sK62)))
| ~ top_str(sK59)
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f4479,f917]) ).
fof(f4481,plain,
( sK4(sK59,sF67,sK61) = unordered_pair(unordered_pair(sK19(sK4(sK59,sF67,sK61),sK59,sK62),sK20(sK4(sK59,sF67,sK61),sK59,sK62)),singleton(sK19(sK4(sK59,sF67,sK61),sK59,sK62)))
| empty(sK62)
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f4480,f916]) ).
fof(f4482,plain,
( sK4(sK59,sF67,sK61) = unordered_pair(unordered_pair(sK19(sK4(sK59,sF67,sK61),sK59,sK62),sK20(sK4(sK59,sF67,sK61),sK59,sK62)),singleton(sK19(sK4(sK59,sF67,sK61),sK59,sK62)))
| ~ filtered_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f4481,f926]) ).
fof(f4483,plain,
( sK4(sK59,sF67,sK61) = unordered_pair(unordered_pair(sK19(sK4(sK59,sF67,sK61),sK59,sK62),sK20(sK4(sK59,sF67,sK61),sK59,sK62)),singleton(sK19(sK4(sK59,sF67,sK61),sK59,sK62)))
| ~ upper_relstr_subset(sK62,boole_POSet(cast_as_carrier_subset(sK59)))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f4482,f993]) ).
fof(f4484,plain,
( sK4(sK59,sF67,sK61) = unordered_pair(unordered_pair(sK19(sK4(sK59,sF67,sK61),sK59,sK62),sK20(sK4(sK59,sF67,sK61),sK59,sK62)),singleton(sK19(sK4(sK59,sF67,sK61),sK59,sK62)))
| ~ proper_element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59)))))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f4483,f994]) ).
fof(f4485,plain,
( sK4(sK59,sF67,sK61) = unordered_pair(unordered_pair(sK19(sK4(sK59,sF67,sK61),sK59,sK62),sK20(sK4(sK59,sF67,sK61),sK59,sK62)),singleton(sK19(sK4(sK59,sF67,sK61),sK59,sK62)))
| ~ element(sK62,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK59))))) ),
inference(forward_subsumption_resolution,[],[f4484,f1008]) ).
fof(f4486,plain,
sK4(sK59,sF67,sK61) = unordered_pair(unordered_pair(sK19(sK4(sK59,sF67,sK61),sK59,sK62),sK20(sK4(sK59,sF67,sK61),sK59,sK62)),singleton(sK19(sK4(sK59,sF67,sK61),sK59,sK62))),
inference(forward_subsumption_resolution,[],[f4485,f1009]) ).
fof(f4487,plain,
sK4(sK59,sF67,sK61) = unordered_pair(singleton(sK19(sK4(sK59,sF67,sK61),sK59,sK62)),unordered_pair(sK19(sK4(sK59,sF67,sK61),sK59,sK62),sK20(sK4(sK59,sF67,sK61),sK59,sK62))),
inference(forward_demodulation,[],[f4486,f573]) ).
fof(f4489,plain,
pair_second(sK4(sK59,sF67,sK61)) = sK20(sK4(sK59,sF67,sK61),sK59,sK62),
inference(superposition,[],[f1270,f4487]) ).
fof(f4661,plain,
! [X0] :
( ~ element(sK64(X0,sK20(sK4(sK59,sF67,sK61),sK59,sK62)),the_carrier(sK59))
| in(unordered_pair(singleton(sK64(X0,sK20(sK4(sK59,sF67,sK61),sK59,sK62))),unordered_pair(sK64(X0,sK20(sK4(sK59,sF67,sK61),sK59,sK62)),sK20(sK4(sK59,sF67,sK61),sK59,sK62))),the_carrier(sF67))
| disjoint(X0,sK20(sK4(sK59,sF67,sK61),sK59,sK62)) ),
inference(resolution,[],[f4474,f935]) ).
fof(f4665,plain,
! [X0] :
( ~ element(sK64(X0,pair_second(sK4(sK59,sF67,sK61))),the_carrier(sK59))
| in(unordered_pair(singleton(sK64(X0,sK20(sK4(sK59,sF67,sK61),sK59,sK62))),unordered_pair(sK64(X0,sK20(sK4(sK59,sF67,sK61),sK59,sK62)),sK20(sK4(sK59,sF67,sK61),sK59,sK62))),the_carrier(sF67))
| disjoint(X0,sK20(sK4(sK59,sF67,sK61),sK59,sK62)) ),
inference(forward_demodulation,[],[f4661,f4489]) ).
fof(f4669,plain,
! [X0] :
( in(unordered_pair(singleton(sK64(X0,sK20(sK4(sK59,sF67,sK61),sK59,sK62))),unordered_pair(sK20(sK4(sK59,sF67,sK61),sK59,sK62),sK64(X0,sK20(sK4(sK59,sF67,sK61),sK59,sK62)))),the_carrier(sF67))
| ~ element(sK64(X0,pair_second(sK4(sK59,sF67,sK61))),the_carrier(sK59))
| disjoint(X0,sK20(sK4(sK59,sF67,sK61),sK59,sK62)) ),
inference(forward_demodulation,[],[f4665,f573]) ).
fof(f4673,plain,
! [X0] :
( in(unordered_pair(singleton(sK64(X0,pair_second(sK4(sK59,sF67,sK61)))),unordered_pair(pair_second(sK4(sK59,sF67,sK61)),sK64(X0,pair_second(sK4(sK59,sF67,sK61))))),the_carrier(sF67))
| ~ element(sK64(X0,pair_second(sK4(sK59,sF67,sK61))),the_carrier(sK59))
| disjoint(X0,sK20(sK4(sK59,sF67,sK61),sK59,sK62)) ),
inference(forward_demodulation,[],[f4669,f4489]) ).
fof(f4677,plain,
! [X0] :
( disjoint(X0,pair_second(sK4(sK59,sF67,sK61)))
| in(unordered_pair(singleton(sK64(X0,pair_second(sK4(sK59,sF67,sK61)))),unordered_pair(pair_second(sK4(sK59,sF67,sK61)),sK64(X0,pair_second(sK4(sK59,sF67,sK61))))),the_carrier(sF67))
| ~ element(sK64(X0,pair_second(sK4(sK59,sF67,sK61))),the_carrier(sK59)) ),
inference(forward_demodulation,[],[f4673,f4489]) ).
fof(f4894,plain,
! [X0] :
( ~ element(sK64(X0,pair_second(sK4(sK59,sF67,sK61))),the_carrier(sK59))
| in(unordered_pair(singleton(sK64(X0,pair_second(sK4(sK59,sF67,sK61)))),unordered_pair(pair_second(sK4(sK59,sF67,sK61)),sK64(X0,pair_second(sK4(sK59,sF67,sK61))))),the_carrier(sF67))
| disjoint(pair_second(sK4(sK59,sF67,sK61)),X0) ),
inference(resolution,[],[f4677,f914]) ).
fof(f4901,plain,
! [X0,X1] :
( in(unordered_pair(singleton(sK64(X0,pair_second(sK4(sK59,sF67,sK61)))),unordered_pair(pair_second(sK4(sK59,sF67,sK61)),sK64(X0,pair_second(sK4(sK59,sF67,sK61))))),the_carrier(sF67))
| disjoint(pair_second(sK4(sK59,sF67,sK61)),X0)
| ~ element_as_carrier_subset(sK64(X0,pair_second(sK4(sK59,sF67,sK61))),sK59,X1)
| empty_carrier(sK59)
| ~ one_sorted_str(sK59)
| empty(X1)
| ~ element(X1,powerset(the_carrier(sK59))) ),
inference(resolution,[],[f4894,f615]) ).
fof(f4903,plain,
! [X0,X1] :
( in(unordered_pair(singleton(sK64(X0,pair_second(sK4(sK59,sF67,sK61)))),unordered_pair(pair_second(sK4(sK59,sF67,sK61)),sK64(X0,pair_second(sK4(sK59,sF67,sK61))))),the_carrier(sF67))
| disjoint(pair_second(sK4(sK59,sF67,sK61)),X0)
| ~ element_as_carrier_subset(sK64(X0,pair_second(sK4(sK59,sF67,sK61))),sK59,X1)
| ~ one_sorted_str(sK59)
| empty(X1)
| ~ element(X1,powerset(the_carrier(sK59))) ),
inference(forward_subsumption_resolution,[],[f4901,f918]) ).
fof(f4904,plain,
! [X0,X1] :
( ~ element_as_carrier_subset(sK64(X0,pair_second(sK4(sK59,sF67,sK61))),sK59,X1)
| disjoint(pair_second(sK4(sK59,sF67,sK61)),X0)
| in(unordered_pair(singleton(sK64(X0,pair_second(sK4(sK59,sF67,sK61)))),unordered_pair(pair_second(sK4(sK59,sF67,sK61)),sK64(X0,pair_second(sK4(sK59,sF67,sK61))))),the_carrier(sF67))
| empty(X1)
| ~ element(X1,powerset(the_carrier(sK59))) ),
inference(forward_subsumption_resolution,[],[f4903,f1019]) ).
fof(f4905,plain,
! [X0,X1] :
( disjoint(pair_second(sK4(sK59,sF67,sK61)),X0)
| in(unordered_pair(singleton(sK64(X0,pair_second(sK4(sK59,sF67,sK61)))),unordered_pair(pair_second(sK4(sK59,sF67,sK61)),sK64(X0,pair_second(sK4(sK59,sF67,sK61))))),the_carrier(sF67))
| empty(X1)
| ~ element(X1,powerset(the_carrier(sK59)))
| ~ element(sK64(X0,pair_second(sK4(sK59,sF67,sK61))),X1)
| empty(X1)
| ~ element(X1,powerset(the_carrier(sK59))) ),
inference(resolution,[],[f4904,f1132]) ).
fof(f4906,plain,
! [X0,X1] :
( in(unordered_pair(singleton(sK64(X0,pair_second(sK4(sK59,sF67,sK61)))),unordered_pair(pair_second(sK4(sK59,sF67,sK61)),sK64(X0,pair_second(sK4(sK59,sF67,sK61))))),the_carrier(sF67))
| disjoint(pair_second(sK4(sK59,sF67,sK61)),X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(sK59)))
| ~ element(sK64(X0,pair_second(sK4(sK59,sF67,sK61))),X1) ),
inference(duplicate_literal_removal,[],[f4905]) ).
fof(f4907,plain,
! [X0] :
( disjoint(pair_second(sK4(sK59,sF67,sK61)),sK61)
| empty(X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| ~ element(sK64(sK61,pair_second(sK4(sK59,sF67,sK61))),X0)
| disjoint(sK61,pair_second(sK4(sK59,sF67,sK61))) ),
inference(resolution,[],[f4906,f2002]) ).
fof(f4915,plain,
! [X0] :
( disjoint(sK61,pair_second(sK4(sK59,sF67,sK61)))
| ~ element(X0,powerset(the_carrier(sK59)))
| ~ element(sK64(sK61,pair_second(sK4(sK59,sF67,sK61))),X0)
| empty(X0) ),
inference(forward_subsumption_resolution,[],[f4907,f914]) ).
fof(f4918,plain,
! [X0] :
( disjoint(pair_second(sK4(sK59,sF67,sK61)),sK61)
| ~ element(sK64(sK61,pair_second(sK4(sK59,sF67,sK61))),X0)
| empty(X0)
| ~ element(X0,powerset(the_carrier(sK59))) ),
inference(resolution,[],[f4915,f914]) ).
fof(f4920,plain,
! [X0,X1] :
( ~ element(sK64(sK61,pair_second(sK4(sK59,sF67,sK61))),X0)
| empty(X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| ~ point_neighbourhood(pair_second(sK4(sK59,sF67,sK61)),sK59,X1)
| ~ element(X1,the_carrier(sK59))
| ~ in(X1,sF72) ),
inference(resolution,[],[f4918,f1018]) ).
fof(f4926,plain,
! [X0,X1] :
( ~ point_neighbourhood(pair_second(sK4(sK59,sF67,sK61)),sK59,X1)
| empty(X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| ~ element(sK64(sK61,pair_second(sK4(sK59,sF67,sK61))),X0)
| ~ in(X1,sF72) ),
inference(forward_subsumption_resolution,[],[f4920,f1428]) ).
fof(f4928,plain,
! [X0,X1] :
( empty(X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| ~ element(sK64(sK61,pair_second(sK4(sK59,sF67,sK61))),X0)
| ~ in(X1,sF72)
| ~ in(pair_second(sK4(sK59,sF67,sK61)),neighborhood_system(sK59,X1))
| ~ element(X1,the_carrier(sK59))
| empty_carrier(sK59)
| ~ topological_space(sK59)
| ~ top_str(sK59) ),
inference(resolution,[],[f4926,f937]) ).
fof(f4929,plain,
! [X0,X1] :
( empty(X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| ~ element(sK64(sK61,pair_second(sK4(sK59,sF67,sK61))),X0)
| ~ in(X1,sF72)
| ~ in(pair_second(sK4(sK59,sF67,sK61)),neighborhood_system(sK59,X1))
| ~ element(X1,the_carrier(sK59))
| ~ topological_space(sK59)
| ~ top_str(sK59) ),
inference(forward_subsumption_resolution,[],[f4928,f918]) ).
fof(f4930,plain,
! [X0,X1] :
( empty(X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| ~ element(sK64(sK61,pair_second(sK4(sK59,sF67,sK61))),X0)
| ~ in(X1,sF72)
| ~ in(pair_second(sK4(sK59,sF67,sK61)),neighborhood_system(sK59,X1))
| ~ element(X1,the_carrier(sK59))
| ~ top_str(sK59) ),
inference(forward_subsumption_resolution,[],[f4929,f917]) ).
fof(f4931,plain,
! [X0,X1] :
( empty(X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| ~ element(sK64(sK61,pair_second(sK4(sK59,sF67,sK61))),X0)
| ~ in(X1,sF72)
| ~ in(pair_second(sK4(sK59,sF67,sK61)),neighborhood_system(sK59,X1))
| ~ element(X1,the_carrier(sK59)) ),
inference(forward_subsumption_resolution,[],[f4930,f916]) ).
fof(f4932,plain,
! [X0,X1] :
( ~ in(pair_second(sK4(sK59,sF67,sK61)),neighborhood_system(sK59,X1))
| ~ element(X0,powerset(the_carrier(sK59)))
| ~ element(sK64(sK61,pair_second(sK4(sK59,sF67,sK61))),X0)
| ~ in(X1,sF72)
| empty(X0) ),
inference(forward_subsumption_resolution,[],[f4931,f1428]) ).
fof(f4934,plain,
! [X0] :
( ~ in(pair_second(sK4(sK59,sF67,sK61)),sK62)
| ~ element(X0,powerset(the_carrier(sK59)))
| ~ element(sK64(sK61,pair_second(sK4(sK59,sF67,sK61))),X0)
| ~ in(sK60,sF72)
| empty(X0) ),
inference(superposition,[],[f4932,f988]) ).
fof(f4935,plain,
! [X0] :
( ~ element(X0,powerset(the_carrier(sK59)))
| ~ element(sK64(sK61,pair_second(sK4(sK59,sF67,sK61))),X0)
| ~ in(sK60,sF72)
| empty(X0) ),
inference(forward_subsumption_resolution,[],[f4934,f4333]) ).
fof(f4936,plain,
! [X0] :
( ~ element(sK64(sK61,pair_second(sK4(sK59,sF67,sK61))),X0)
| ~ element(X0,powerset(the_carrier(sK59)))
| empty(X0) ),
inference(forward_subsumption_resolution,[],[f4935,f979]) ).
fof(f4937,plain,
! [X0] :
( ~ element(X0,powerset(the_carrier(sK59)))
| empty(X0)
| ~ in(sK64(sK61,pair_second(sK4(sK59,sF67,sK61))),X0) ),
inference(resolution,[],[f4936,f915]) ).
fof(f4957,plain,
! [X0] :
( ~ in(sK64(sK61,pair_second(sK4(sK59,sF67,sK61))),X0)
| ~ element(X0,powerset(the_carrier(sK59))) ),
inference(forward_subsumption_resolution,[],[f4937,f945]) ).
fof(f4968,plain,
( ~ element(sK61,powerset(the_carrier(sK59)))
| disjoint(sK61,pair_second(sK4(sK59,sF67,sK61))) ),
inference(resolution,[],[f4957,f936]) ).
fof(f4982,plain,
disjoint(sK61,pair_second(sK4(sK59,sF67,sK61))),
inference(forward_subsumption_resolution,[],[f4968,f1003]) ).
fof(f4985,plain,
disjoint(pair_second(sK4(sK59,sF67,sK61)),sK61),
inference(resolution,[],[f4982,f914]) ).
fof(f4987,plain,
! [X0] :
( ~ point_neighbourhood(pair_second(sK4(sK59,sF67,sK61)),sK59,X0)
| ~ element(X0,the_carrier(sK59))
| ~ in(X0,sF72) ),
inference(resolution,[],[f4985,f1018]) ).
fof(f4993,plain,
! [X0] :
( ~ point_neighbourhood(pair_second(sK4(sK59,sF67,sK61)),sK59,X0)
| ~ in(X0,sF72) ),
inference(forward_subsumption_resolution,[],[f4987,f1428]) ).
fof(f4995,plain,
! [X0] :
( ~ in(X0,sF72)
| ~ in(pair_second(sK4(sK59,sF67,sK61)),neighborhood_system(sK59,X0))
| ~ element(X0,the_carrier(sK59))
| empty_carrier(sK59)
| ~ topological_space(sK59)
| ~ top_str(sK59) ),
inference(resolution,[],[f4993,f937]) ).
fof(f4996,plain,
! [X0] :
( ~ in(X0,sF72)
| ~ in(pair_second(sK4(sK59,sF67,sK61)),neighborhood_system(sK59,X0))
| ~ element(X0,the_carrier(sK59))
| ~ topological_space(sK59)
| ~ top_str(sK59) ),
inference(forward_subsumption_resolution,[],[f4995,f918]) ).
fof(f4997,plain,
! [X0] :
( ~ in(X0,sF72)
| ~ in(pair_second(sK4(sK59,sF67,sK61)),neighborhood_system(sK59,X0))
| ~ element(X0,the_carrier(sK59))
| ~ top_str(sK59) ),
inference(forward_subsumption_resolution,[],[f4996,f917]) ).
fof(f4998,plain,
! [X0] :
( ~ in(X0,sF72)
| ~ in(pair_second(sK4(sK59,sF67,sK61)),neighborhood_system(sK59,X0))
| ~ element(X0,the_carrier(sK59)) ),
inference(forward_subsumption_resolution,[],[f4997,f916]) ).
fof(f4999,plain,
! [X0] :
( ~ in(pair_second(sK4(sK59,sF67,sK61)),neighborhood_system(sK59,X0))
| ~ in(X0,sF72) ),
inference(forward_subsumption_resolution,[],[f4998,f1428]) ).
fof(f5001,plain,
( ~ in(pair_second(sK4(sK59,sF67,sK61)),sK62)
| ~ in(sK60,sF72) ),
inference(superposition,[],[f4999,f988]) ).
fof(f5002,plain,
~ in(sK60,sF72),
inference(forward_subsumption_resolution,[],[f5001,f4333]) ).
fof(f5003,plain,
$false,
inference(forward_subsumption_resolution,[],[f5002,f979]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU396+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n007.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 05:05:30 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 10.37/2.38 % (2037040)Detected formulas, will run a generic FOF schedule.
% 10.37/2.38 % (2037049)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=476642022:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.37/2.38 % (2037049)Instruction limit reached!
% 10.37/2.38 % (2037049)------------------------------
% 10.37/2.38 % (2037049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.37/2.38 % (2037049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.37/2.38 % (2037049)CaDiCaL version: 2.1.3
% 10.37/2.38 % (2037049)Termination reason: Instruction limit
% 10.37/2.38 % (2037049)Termination phase: Saturation
% 10.37/2.38 % (2037049)Time elapsed: 0.040 s
% 10.37/2.38 % (2037049)Peak memory usage: 89 MB
% 10.37/2.38 % (2037049)Instructions burned: 119 (million)
% 10.37/2.38 % (2037047)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=4232334742:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.37/2.38 % (2037048)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2031113013:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.37/2.38 % (2037046)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=1286261223:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.37/2.38 % (2037045)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=3683019053:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.37/2.38 % (2037050)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4249086302:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.37/2.38 % (2037051)dis-21_1_sil=8000:lcm=predicate:random_seed=4095746185: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)
% 10.37/2.38 % (2037048)Refutation not found, incomplete strategy
% 10.37/2.38 % (2037048)------------------------------
% 10.37/2.38 % (2037048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.37/2.38 % (2037048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.37/2.38 % (2037048)CaDiCaL version: 2.1.3
% 10.37/2.38 % (2037048)Termination reason: Refutation not found, incomplete strategy
% 10.37/2.38 % (2037048)Time elapsed: 0.008 s
% 10.37/2.38 % (2037048)Peak memory usage: 89 MB
% 10.37/2.38 % (2037048)Instructions burned: 10 (million)
% 10.37/2.38 % (2037051)Instruction limit reached!
% 10.37/2.38 % (2037051)------------------------------
% 10.37/2.38 % (2037051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.37/2.38 % (2037051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.37/2.38 % (2037051)CaDiCaL version: 2.1.3
% 10.37/2.38 % (2037051)Termination reason: Instruction limit
% 10.37/2.38 % (2037051)Termination phase: Saturation
% 10.37/2.38 % (2037051)Time elapsed: 0.077 s
% 10.37/2.38 % (2037051)Peak memory usage: 93 MB
% 10.37/2.38 % (2037051)Instructions burned: 130 (million)
% 10.37/2.38 % (2037058)lrs+10_1_sil=8000:sp=occurrence:random_seed=2068454650:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.37/2.38 % (2037050)Instruction limit reached!
% 10.37/2.38 % (2037050)------------------------------
% 10.37/2.38 % (2037050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.37/2.38 % (2037050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.37/2.38 % (2037050)CaDiCaL version: 2.1.3
% 10.37/2.38 % (2037050)Termination reason: Instruction limit
% 10.37/2.38 % (2037050)Termination phase: Saturation
% 10.37/2.38 % (2037050)Time elapsed: 0.097 s
% 10.37/2.38 % (2037050)Peak memory usage: 90 MB
% 10.37/2.38 % (2037050)Instructions burned: 139 (million)
% 10.37/2.38 % (2037058)Instruction limit reached!
% 10.37/2.38 % (2037058)------------------------------
% 10.37/2.38 % (2037058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.37/2.38 % (2037058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.37/2.38 % (2037058)CaDiCaL version: 2.1.3
% 10.37/2.38 % (2037058)Termination reason: Instruction limit
% 10.37/2.38 % (2037058)Termination phase: Saturation
% 10.37/2.38 % (2037058)Time elapsed: 0.096 s
% 10.37/2.38 % (2037058)Peak memory usage: 92 MB
% 10.37/2.38 % (2037058)Instructions burned: 286 (million)
% 17.73/3.45 % (2037060)lrs+10_1_sil=32000:urr=on:br=off:random_seed=36141808:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 17.73/3.45 % (2037062)lrs+1011_1_sil=32000:sp=occurrence:random_seed=468920533:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 17.73/3.45 % (2037048)------------------------------
% 17.73/3.45 % (2037048)------------------------------
% 17.73/3.45 % (2037063)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=1813101529:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 17.73/3.45 % (2037060)Instruction limit reached!
% 17.73/3.45 % (2037060)------------------------------
% 17.73/3.45 % (2037060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.45 % (2037060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.45 % (2037060)CaDiCaL version: 2.1.3
% 17.73/3.45 % (2037060)Termination reason: Instruction limit
% 17.73/3.45 % (2037060)Termination phase: Saturation
% 17.73/3.45 % (2037060)Time elapsed: 0.092 s
% 17.73/3.45 % (2037060)Peak memory usage: 90 MB
% 17.73/3.45 % (2037060)Instructions burned: 158 (million)
% 17.73/3.45 % (2037063)Instruction limit reached!
% 17.73/3.45 % (2037063)------------------------------
% 17.73/3.45 % (2037063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.45 % (2037063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.45 % (2037063)CaDiCaL version: 2.1.3
% 17.73/3.45 % (2037063)Termination reason: Instruction limit
% 17.73/3.45 % (2037063)Termination phase: Saturation
% 17.73/3.45 % (2037063)Time elapsed: 0.075 s
% 17.73/3.45 % (2037063)Peak memory usage: 90 MB
% 17.73/3.45 % (2037063)Instructions burned: 249 (million)
% 17.73/3.45 % (2037066)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3616216155:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 17.73/3.45 % (2037069)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=356207955:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 17.73/3.45 % (2037068)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1071292824:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 17.73/3.45 % (2037062)Instruction limit reached!
% 17.73/3.45 % (2037062)------------------------------
% 17.73/3.45 % (2037062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.45 % (2037062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.45 % (2037062)CaDiCaL version: 2.1.3
% 17.73/3.45 % (2037062)Termination reason: Instruction limit
% 17.73/3.45 % (2037062)Termination phase: Saturation
% 17.73/3.45 % (2037062)Time elapsed: 0.228 s
% 17.73/3.45 % (2037062)Peak memory usage: 92 MB
% 17.73/3.45 % (2037062)Instructions burned: 326 (million)
% 17.73/3.45 % (2037069)Instruction limit reached!
% 17.73/3.45 % (2037069)------------------------------
% 17.73/3.45 % (2037069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.45 % (2037069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.45 % (2037069)CaDiCaL version: 2.1.3
% 17.73/3.45 % (2037069)Termination reason: Instruction limit
% 17.73/3.45 % (2037069)Termination phase: Saturation
% 17.73/3.45 % (2037069)Time elapsed: 0.034 s
% 17.73/3.45 % (2037069)Peak memory usage: 91 MB
% 17.73/3.45 % (2037069)Instructions burned: 113 (million)
% 17.73/3.45 % (2037074)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1246068606:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 17.73/3.45 % (2037073)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2338843098:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 17.73/3.45 % (2037066)Instruction limit reached!
% 17.73/3.45 % (2037066)------------------------------
% 17.73/3.45 % (2037066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.73/3.45 % (2037066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.73/3.45 % (2037066)CaDiCaL version: 2.1.3
% 17.73/3.45 % (2037066)Termination reason: Instruction limit
% 17.73/3.45 % (2037066)Termination phase: Saturation
% 17.73/3.45 % (2037066)Time elapsed: 0.190 s
% 17.73/3.45 % (2037066)Peak memory usage: 90 MB
% 17.73/3.45 % (2037066)Instructions burned: 295 (million)
% 17.73/3.45 % (2037074)Instruction limit reached!
% 17.73/3.45 % (2037074)------------------------------
% 17.73/3.45 % (2037074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.75/7.15 % (2037074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.15 % (2037074)CaDiCaL version: 2.1.3
% 44.75/7.15 % (2037074)Termination reason: Instruction limit
% 44.75/7.15 % (2037074)Termination phase: Saturation
% 44.75/7.15 % (2037074)Time elapsed: 0.036 s
% 44.75/7.15 % (2037074)Peak memory usage: 89 MB
% 44.75/7.15 % (2037074)Instructions burned: 116 (million)
% 44.75/7.15 % (2037073)Instruction limit reached!
% 44.75/7.15 % (2037073)------------------------------
% 44.75/7.15 % (2037073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.75/7.15 % (2037073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.15 % (2037073)CaDiCaL version: 2.1.3
% 44.75/7.15 % (2037073)Termination reason: Instruction limit
% 44.75/7.15 % (2037073)Termination phase: Saturation
% 44.75/7.15 % (2037073)Time elapsed: 0.066 s
% 44.75/7.15 % (2037073)Peak memory usage: 89 MB
% 44.75/7.15 % (2037073)Instructions burned: 128 (million)
% 44.75/7.15 % (2037078)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2470990359:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 44.75/7.15 % (2037077)lrs+10_1_sil=8000:sp=occurrence:random_seed=1713285886:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 44.75/7.15 % (2037079)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1026961894:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 44.75/7.15 % (2037078)Instruction limit reached!
% 44.75/7.15 % (2037078)------------------------------
% 44.75/7.15 % (2037078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.75/7.15 % (2037078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.15 % (2037078)CaDiCaL version: 2.1.3
% 44.75/7.15 % (2037078)Termination reason: Instruction limit
% 44.75/7.15 % (2037078)Termination phase: Saturation
% 44.75/7.15 % (2037078)Time elapsed: 0.132 s
% 44.75/7.15 % (2037078)Peak memory usage: 91 MB
% 44.75/7.15 % (2037078)Instructions burned: 441 (million)
% 44.75/7.15 % (2037083)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=855078789:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 44.75/7.15 % (2037083)Instruction limit reached!
% 44.75/7.15 % (2037083)------------------------------
% 44.75/7.15 % (2037083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.75/7.15 % (2037083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.15 % (2037083)CaDiCaL version: 2.1.3
% 44.75/7.15 % (2037083)Termination reason: Instruction limit
% 44.75/7.15 % (2037083)Termination phase: Saturation
% 44.75/7.15 % (2037083)Time elapsed: 0.043 s
% 44.75/7.15 % (2037083)Peak memory usage: 91 MB
% 44.75/7.15 % (2037083)Instructions burned: 137 (million)
% 44.75/7.15 % (2037085)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1370331611:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 44.75/7.15 % (2037085)Refutation not found, incomplete strategy
% 44.75/7.15 % (2037085)------------------------------
% 44.75/7.15 % (2037085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.75/7.15 % (2037085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.15 % (2037085)CaDiCaL version: 2.1.3
% 44.75/7.15 % (2037085)Termination reason: Refutation not found, incomplete strategy
% 44.75/7.15 % (2037085)Time elapsed: 0.016 s
% 44.75/7.15 % (2037085)Peak memory usage: 89 MB
% 44.75/7.15 % (2037085)Instructions burned: 48 (million)
% 44.75/7.15 % (2037085)------------------------------
% 44.75/7.15 % (2037085)------------------------------
% 44.75/7.15 % (2037077)Instruction limit reached!
% 44.75/7.15 % (2037077)------------------------------
% 44.75/7.15 % (2037077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.75/7.15 % (2037077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.75/7.15 % (2037077)CaDiCaL version: 2.1.3
% 44.75/7.15 % (2037077)Termination reason: Instruction limit
% 44.75/7.15 % (2037077)Termination phase: Saturation
% 44.75/7.15 % (2037077)Time elapsed: 0.539 s
% 44.75/7.15 % (2037077)Peak memory usage: 100 MB
% 44.75/7.15 % (2037077)Instructions burned: 907 (million)
% 44.75/7.15 % (2037087)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1154342549:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 44.75/7.15 % (2037088)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=3071804180:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/125Mi)
% 71.41/11.03 % (2037088)Instruction limit reached!
% 71.41/11.03 % (2037088)------------------------------
% 71.41/11.03 % (2037088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.41/11.03 % (2037088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.41/11.03 % (2037088)CaDiCaL version: 2.1.3
% 71.41/11.03 % (2037088)Termination reason: Instruction limit
% 71.41/11.03 % (2037088)Termination phase: Saturation
% 71.41/11.03 % (2037088)Time elapsed: 0.076 s
% 71.41/11.03 % (2037088)Peak memory usage: 91 MB
% 71.41/11.03 % (2037088)Instructions burned: 126 (million)
% 71.41/11.03 % (2037091)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2419919612:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 71.41/11.03 % (2037091)Instruction limit reached!
% 71.41/11.03 % (2037091)------------------------------
% 71.41/11.03 % (2037091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.41/11.03 % (2037091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.41/11.03 % (2037091)CaDiCaL version: 2.1.3
% 71.41/11.03 % (2037091)Termination reason: Instruction limit
% 71.41/11.03 % (2037091)Termination phase: Saturation
% 71.41/11.03 % (2037091)Time elapsed: 0.079 s
% 71.41/11.03 % (2037091)Peak memory usage: 91 MB
% 71.41/11.03 % (2037091)Instructions burned: 134 (million)
% 71.41/11.03 % (2037093)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4229994879:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 71.41/11.03 % (2037093)Instruction limit reached!
% 71.41/11.03 % (2037093)------------------------------
% 71.41/11.03 % (2037093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.41/11.03 % (2037093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.41/11.03 % (2037093)CaDiCaL version: 2.1.3
% 71.41/11.03 % (2037093)Termination reason: Instruction limit
% 71.41/11.03 % (2037093)Termination phase: Saturation
% 71.41/11.03 % (2037093)Time elapsed: 0.084 s
% 71.41/11.03 % (2037093)Peak memory usage: 91 MB
% 71.41/11.03 % (2037093)Instructions burned: 143 (million)
% 71.41/11.03 % (2037095)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2770131691:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 71.41/11.03 % (2037068)Instruction limit reached!
% 71.41/11.03 % (2037068)------------------------------
% 71.41/11.03 % (2037068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.41/11.03 % (2037068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.41/11.03 % (2037068)CaDiCaL version: 2.1.3
% 71.41/11.03 % (2037068)Termination reason: Instruction limit
% 71.41/11.03 % (2037068)Termination phase: Saturation
% 71.41/11.03 % (2037068)Time elapsed: 1.552 s
% 71.41/11.03 % (2037068)Peak memory usage: 141 MB
% 71.41/11.03 % (2037068)Instructions burned: 2350 (million)
% 71.41/11.03 % (2037097)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=1960318998:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 71.41/11.03 % (2037095)Instruction limit reached!
% 71.41/11.03 % (2037095)------------------------------
% 71.41/11.03 % (2037095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.41/11.03 % (2037095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.41/11.03 % (2037095)CaDiCaL version: 2.1.3
% 71.41/11.03 % (2037095)Termination reason: Instruction limit
% 71.41/11.03 % (2037095)Termination phase: Saturation
% 71.41/11.03 % (2037095)Time elapsed: 0.234 s
% 71.41/11.03 % (2037095)Peak memory usage: 95 MB
% 71.41/11.03 % (2037095)Instructions burned: 432 (million)
% 71.41/11.03 % (2037099)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3924714391:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 71.41/11.03 % (2037099)Instruction limit reached!
% 71.41/11.03 % (2037099)------------------------------
% 71.41/11.03 % (2037099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.41/11.03 % (2037099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.41/11.03 % (2037099)CaDiCaL version: 2.1.3
% 98.79/14.82 % (2037099)Termination reason: Instruction limit
% 98.79/14.82 % (2037099)Termination phase: Saturation
% 98.79/14.82 % (2037099)Time elapsed: 0.093 s
% 98.79/14.82 % (2037099)Peak memory usage: 91 MB
% 98.79/14.82 % (2037099)Instructions burned: 150 (million)
% 98.79/14.82 % (2037101)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3365100329:i=14155:bd=all_2974 on theBenchmark for (2974ds/14155Mi)
% 98.79/14.82 % (2037079)Instruction limit reached!
% 98.79/14.82 % (2037079)------------------------------
% 98.79/14.82 % (2037079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.79/14.82 % (2037079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.79/14.82 % (2037079)CaDiCaL version: 2.1.3
% 98.79/14.82 % (2037079)Termination reason: Instruction limit
% 98.79/14.82 % (2037079)Termination phase: Saturation
% 98.79/14.82 % (2037079)Time elapsed: 3.227 s
% 98.79/14.82 % (2037079)Peak memory usage: 159 MB
% 98.79/14.82 % (2037079)Instructions burned: 5203 (million)
% 98.79/14.82 % (2037103)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1740571522:i=667:av=off:fsr=off_2958 on theBenchmark for (2958ds/667Mi)
% 98.79/14.82 % (2037103)Instruction limit reached!
% 98.79/14.82 % (2037103)------------------------------
% 98.79/14.82 % (2037103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.79/14.82 % (2037103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.79/14.82 % (2037103)CaDiCaL version: 2.1.3
% 98.79/14.82 % (2037103)Termination reason: Instruction limit
% 98.79/14.82 % (2037103)Termination phase: Saturation
% 98.79/14.82 % (2037103)Time elapsed: 0.294 s
% 98.79/14.82 % (2037103)Peak memory usage: 95 MB
% 98.79/14.82 % (2037103)Instructions burned: 667 (million)
% 98.79/14.82 % (2037105)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=4085384711:s2a=on:i=185:s2at=1.8:fdi=4_2954 on theBenchmark for (2954ds/185Mi)
% 98.79/14.82 % (2037105)Instruction limit reached!
% 98.79/14.82 % (2037105)------------------------------
% 98.79/14.82 % (2037105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.79/14.82 % (2037105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.79/14.82 % (2037105)CaDiCaL version: 2.1.3
% 98.79/14.82 % (2037105)Termination reason: Instruction limit
% 98.79/14.82 % (2037105)Termination phase: Saturation
% 98.79/14.82 % (2037105)Time elapsed: 0.113 s
% 98.79/14.82 % (2037105)Peak memory usage: 92 MB
% 98.79/14.82 % (2037105)Instructions burned: 185 (million)
% 98.79/14.82 % (2037107)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3500639584:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2951 on theBenchmark for (2951ds/193Mi)
% 98.79/14.82 % (2037107)Instruction limit reached!
% 98.79/14.82 % (2037107)------------------------------
% 98.79/14.82 % (2037107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.79/14.82 % (2037107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.79/14.82 % (2037107)CaDiCaL version: 2.1.3
% 98.79/14.82 % (2037107)Termination reason: Instruction limit
% 98.79/14.82 % (2037107)Termination phase: Saturation
% 98.79/14.82 % (2037107)Time elapsed: 0.114 s
% 98.79/14.82 % (2037107)Peak memory usage: 91 MB
% 98.79/14.82 % (2037107)Instructions burned: 193 (million)
% 98.79/14.82 % (2037109)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=333149301:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2949 on theBenchmark for (2949ds/4850Mi)
% 98.79/14.82 % (2037087)Instruction limit reached!
% 98.79/14.82 % (2037087)------------------------------
% 98.79/14.82 % (2037087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.79/14.82 % (2037087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.79/14.82 % (2037087)CaDiCaL version: 2.1.3
% 98.79/14.82 % (2037087)Termination reason: Instruction limit
% 98.79/14.82 % (2037087)Termination phase: Saturation
% 98.79/14.82 % (2037087)Time elapsed: 4.238 s
% 98.79/14.82 % (2037087)Peak memory usage: 218 MB
% 98.79/14.82 % (2037087)Instructions burned: 13194 (million)
% 98.79/14.82 % (2037111)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1169712898:i=12111:sd=1:ss=included_2943 on theBenchmark for (2943ds/12111Mi)
% 98.79/14.82 % (2037097)Instruction limit reached!
% 98.79/14.82 % (2037097)------------------------------
% 98.79/14.82 % (2037097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.32/18.60 % (2037097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.32/18.60 % (2037097)CaDiCaL version: 2.1.3
% 125.32/18.60 % (2037097)Termination reason: Instruction limit
% 125.32/18.60 % (2037097)Termination phase: Saturation
% 125.32/18.60 % (2037097)Time elapsed: 4.006 s
% 125.32/18.60 % (2037097)Peak memory usage: 171 MB
% 125.32/18.60 % (2037097)Instructions burned: 6062 (million)
% 125.32/18.60 % (2037113)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=907068759:i=319:kws=precedence:fsr=off_2937 on theBenchmark for (2937ds/319Mi)
% 125.32/18.60 % (2037113)Instruction limit reached!
% 125.32/18.60 % (2037113)------------------------------
% 125.32/18.60 % (2037113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.32/18.60 % (2037113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.32/18.60 % (2037113)CaDiCaL version: 2.1.3
% 125.32/18.60 % (2037113)Termination reason: Instruction limit
% 125.32/18.60 % (2037113)Termination phase: Saturation
% 125.32/18.60 % (2037113)Time elapsed: 0.179 s
% 125.32/18.60 % (2037113)Peak memory usage: 93 MB
% 125.32/18.60 % (2037113)Instructions burned: 320 (million)
% 125.32/18.60 % (2037115)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3757008945:i=2064:ep=RST_2934 on theBenchmark for (2934ds/2064Mi)
% 125.32/18.60 % (2037109)Instruction limit reached!
% 125.32/18.60 % (2037109)------------------------------
% 125.32/18.60 % (2037109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.32/18.60 % (2037109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.32/18.60 % (2037109)CaDiCaL version: 2.1.3
% 125.32/18.60 % (2037109)Termination reason: Instruction limit
% 125.32/18.60 % (2037109)Termination phase: Saturation
% 125.32/18.60 % (2037109)Time elapsed: 2.489 s
% 125.32/18.60 % (2037109)Peak memory usage: 132 MB
% 125.32/18.60 % (2037109)Instructions burned: 4851 (million)
% 125.32/18.60 % (2037117)dis-1011_128_sil=32000:random_seed=2713237997:i=3706:ep=RST:av=off_2923 on theBenchmark for (2923ds/3706Mi)
% 125.32/18.60 % (2037115)Instruction limit reached!
% 125.32/18.60 % (2037115)------------------------------
% 125.32/18.60 % (2037115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.32/18.60 % (2037115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.32/18.60 % (2037115)CaDiCaL version: 2.1.3
% 125.32/18.60 % (2037115)Termination reason: Instruction limit
% 125.32/18.60 % (2037115)Termination phase: Saturation
% 125.32/18.60 % (2037115)Time elapsed: 1.125 s
% 125.32/18.60 % (2037115)Peak memory usage: 113 MB
% 125.32/18.60 % (2037115)Instructions burned: 2066 (million)
% 125.32/18.60 % (2037119)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1921733134:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2921 on theBenchmark for (2921ds/757Mi)
% 125.32/18.60 % (2037119)Instruction limit reached!
% 125.32/18.60 % (2037119)------------------------------
% 125.32/18.60 % (2037119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.32/18.60 % (2037119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.32/18.60 % (2037119)CaDiCaL version: 2.1.3
% 125.32/18.60 % (2037119)Termination reason: Instruction limit
% 125.32/18.60 % (2037119)Termination phase: Saturation
% 125.32/18.60 % (2037119)Time elapsed: 0.434 s
% 125.32/18.60 % (2037119)Peak memory usage: 112 MB
% 125.32/18.60 % (2037119)Instructions burned: 757 (million)
% 125.32/18.60 % (2037121)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=844275914:i=13913:ss=axioms:sgt=8_2915 on theBenchmark for (2915ds/13913Mi)
% 125.32/18.60 % (2037117)Instruction limit reached!
% 125.32/18.60 % (2037117)------------------------------
% 125.32/18.60 % (2037117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.32/18.60 % (2037117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.32/18.60 % (2037117)CaDiCaL version: 2.1.3
% 125.32/18.60 % (2037117)Termination reason: Instruction limit
% 125.32/18.60 % (2037117)Termination phase: Saturation
% 125.32/18.60 % (2037117)Time elapsed: 2.239 s
% 125.32/18.60 % (2037117)Peak memory usage: 116 MB
% 125.32/18.60 % (2037117)Instructions burned: 3706 (million)
% 125.32/18.60 % (2037111)Instruction limit reached!
% 125.32/18.60 % (2037111)------------------------------
% 125.32/18.60 % (2037111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.32/18.60 % (2037111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.32/18.60 % (2037111)CaDiCaL version: 2.1.3
% 133.10/19.99 % (2037111)Termination reason: Instruction limit
% 133.10/19.99 % (2037111)Termination phase: Saturation
% 133.10/19.99 % (2037111)Time elapsed: 4.387 s
% 133.10/19.99 % (2037111)Peak memory usage: 210 MB
% 133.10/19.99 % (2037111)Instructions burned: 12111 (million)
% 133.10/19.99 % (2037123)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1879524095:i=9925:aac=none_2899 on theBenchmark for (2899ds/9925Mi)
% 133.10/19.99 % (2037124)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=3892469865:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2898 on theBenchmark for (2898ds/2479Mi)
% 133.10/19.99 % (2037124)Refutation not found, incomplete strategy
% 133.10/19.99 % (2037124)------------------------------
% 133.10/19.99 % (2037124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 133.10/19.99 % (2037124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.10/19.99 % (2037124)CaDiCaL version: 2.1.3
% 133.10/19.99 % (2037124)Termination reason: Refutation not found, incomplete strategy
% 133.10/19.99 % (2037124)Time elapsed: 0.006 s
% 133.10/19.99 % (2037124)Peak memory usage: 89 MB
% 133.10/19.99 % (2037124)Instructions burned: 15 (million)
% 133.10/19.99 % (2037124)------------------------------
% 133.10/19.99 % (2037124)------------------------------
% 133.10/19.99 % (2037127)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3390907561:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2895 on theBenchmark for (2895ds/440Mi)
% 133.10/19.99 % (2037127)Instruction limit reached!
% 133.10/19.99 % (2037127)------------------------------
% 133.10/19.99 % (2037127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 133.10/19.99 % (2037127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.10/19.99 % (2037127)CaDiCaL version: 2.1.3
% 133.10/19.99 % (2037127)Termination reason: Instruction limit
% 133.10/19.99 % (2037127)Termination phase: Saturation
% 133.10/19.99 % (2037127)Time elapsed: 0.133 s
% 133.10/19.99 % (2037127)Peak memory usage: 95 MB
% 133.10/19.99 % (2037127)Instructions burned: 443 (million)
% 133.10/19.99 % (2037129)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=978989279:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2893 on theBenchmark for (2893ds/11145Mi)
% 133.10/19.99 % (2037101)Instruction limit reached!
% 133.10/19.99 % (2037101)------------------------------
% 133.10/19.99 % (2037101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 133.10/19.99 % (2037101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.10/19.99 % (2037101)CaDiCaL version: 2.1.3
% 133.10/19.99 % (2037101)Termination reason: Instruction limit
% 133.10/19.99 % (2037101)Termination phase: Saturation
% 133.10/19.99 % (2037101)Time elapsed: 8.975 s
% 133.10/19.99 % (2037101)Peak memory usage: 200 MB
% 133.10/19.99 % (2037101)Instructions burned: 14156 (million)
% 133.10/19.99 % (2037131)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=1718944303:cts=off:i=3034:av=off:er=known:fsd=on_2883 on theBenchmark for (2883ds/3034Mi)
% 133.10/19.99 % (2037129)Instruction limit reached!
% 133.10/19.99 % (2037129)------------------------------
% 133.10/19.99 % (2037129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 133.10/19.99 % (2037129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.10/19.99 % (2037129)CaDiCaL version: 2.1.3
% 133.10/19.99 % (2037129)Termination reason: Instruction limit
% 133.10/19.99 % (2037129)Termination phase: Saturation
% 133.10/19.99 % (2037129)Time elapsed: 2.984 s
% 133.10/19.99 % (2037129)Peak memory usage: 156 MB
% 133.10/19.99 % (2037129)Instructions burned: 11145 (million)
% 133.10/19.99 % (2037133)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1285051043:st=2:s2a=on:i=524:s2at=2:ss=axioms_2862 on theBenchmark for (2862ds/524Mi)
% 133.10/19.99 % (2037131)Instruction limit reached!
% 133.10/19.99 % (2037131)------------------------------
% 133.10/19.99 % (2037131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 133.10/19.99 % (2037131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.10/19.99 % (2037131)CaDiCaL version: 2.1.3
% 133.10/19.99 % (2037131)Termination reason: Instruction limit
% 133.10/19.99 % (2037131)Termination phase: Saturation
% 133.10/19.99 % (2037131)Time elapsed: 1.985 s
% 133.10/19.99 % (2037131)Peak memory usage: 141 MB
% 133.10/19.99 % (2037131)Instructions burned: 3035 (million)
% 133.10/19.99 % (2037135)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3105984345:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2861 on theBenchmark for (2861ds/1016Mi)
% 133.10/19.99 % (2037133)Instruction limit reached!
% 133.10/19.99 % (2037133)------------------------------
% 133.10/19.99 % (2037133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 133.10/19.99 % (2037133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.10/19.99 % (2037133)CaDiCaL version: 2.1.3
% 133.10/19.99 % (2037133)Termination reason: Instruction limit
% 133.10/19.99 % (2037133)Termination phase: Saturation
% 133.10/19.99 % (2037133)Time elapsed: 0.153 s
% 133.10/19.99 % (2037133)Peak memory usage: 94 MB
% 133.10/19.99 % (2037133)Instructions burned: 526 (million)
% 133.10/19.99 % (2037137)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1907573319:i=14123:bd=preordered:ins=4_2860 on theBenchmark for (2860ds/14123Mi)
% 133.10/19.99 % (2037135)Instruction limit reached!
% 133.10/19.99 % (2037135)------------------------------
% 133.10/19.99 % (2037135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 133.10/19.99 % (2037135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.10/19.99 % (2037135)CaDiCaL version: 2.1.3
% 133.10/19.99 % (2037135)Termination reason: Instruction limit
% 133.10/19.99 % (2037135)Termination phase: Saturation
% 133.10/19.99 % (2037135)Time elapsed: 0.592 s
% 133.10/19.99 % (2037135)Peak memory usage: 96 MB
% 133.10/19.99 % (2037135)Instructions burned: 1018 (million)
% 133.10/19.99 % (2037139)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=348485059:i=5781:kws=precedence:bd=all:rawr=on_2854 on theBenchmark for (2854ds/5781Mi)
% 133.10/19.99 % (2037123)Instruction limit reached!
% 133.10/19.99 % (2037123)------------------------------
% 133.10/19.99 % (2037123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 133.10/19.99 % (2037123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.10/19.99 % (2037123)CaDiCaL version: 2.1.3
% 133.10/19.99 % (2037123)Termination reason: Instruction limit
% 133.10/19.99 % (2037123)Termination phase: Saturation
% 133.10/19.99 % (2037123)Time elapsed: 5.944 s
% 133.10/19.99 % (2037123)Peak memory usage: 194 MB
% 133.10/19.99 % (2037123)Instructions burned: 9926 (million)
% 133.10/19.99 % (2037141)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=721120897:i=2448:gtgl=5:bd=preordered:gtg=all_2838 on theBenchmark for (2838ds/2448Mi)
% 133.10/19.99 % (2037121)Instruction limit reached!
% 133.10/19.99 % (2037121)------------------------------
% 133.10/19.99 % (2037121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 133.10/19.99 % (2037121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.10/19.99 % (2037121)CaDiCaL version: 2.1.3
% 133.10/19.99 % (2037121)Termination reason: Instruction limit
% 133.10/19.99 % (2037121)Termination phase: Saturation
% 133.10/19.99 % (2037121)Time elapsed: 8.360 s
% 133.10/19.99 % (2037121)Peak memory usage: 213 MB
% 133.10/19.99 % (2037121)Instructions burned: 13913 (million)
% 133.10/19.99 % (2037143)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=3532285439:i=3223:kws=precedence:fgj=on:av=off_2829 on theBenchmark for (2829ds/3223Mi)
% 133.10/19.99 % (2037139)Instruction limit reached!
% 133.10/19.99 % (2037139)------------------------------
% 133.10/19.99 % (2037139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 133.10/19.99 % (2037139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.10/19.99 % (2037139)CaDiCaL version: 2.1.3
% 133.10/19.99 % (2037139)Termination reason: Instruction limit
% 133.10/19.99 % (2037139)Termination phase: Saturation
% 133.10/19.99 % (2037139)Time elapsed: 2.910 s
% 133.10/19.99 % (2037139)Peak memory usage: 116 MB
% 133.10/19.99 % (2037139)Instructions burned: 5781 (million)
% 133.10/19.99 % (2037141)Instruction limit reached!
% 133.10/19.99 % (2037141)------------------------------
% 133.10/19.99 % (2037141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 133.10/19.99 % (2037141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.10/19.99 % (2037141)CaDiCaL version: 2.1.3
% 133.10/19.99 % (2037141)Termination reason: Instruction limit
% 133.10/19.99 % (2037141)Termination phase: Saturation
% 133.10/19.99 % (2037141)Time elapsed: 1.406 s
% 133.10/19.99 % (2037141)Peak memory usage: 147 MB
% 133.10/19.99 % (2037141)Instructions burned: 2448 (million)
% 133.10/19.99 % (2037145)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=1914503973:st=5.6:i=2033:sd=3:ss=axioms_2824 on theBenchmark for (2824ds/2033Mi)
% 133.10/19.99 % (2037146)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=3290953918:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2823 on theBenchmark for (2823ds/2055Mi)
% 133.10/19.99 % (2037137)Instruction limit reached!
% 133.10/19.99 % (2037137)------------------------------
% 133.10/19.99 % (2037137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 133.10/19.99 % (2037137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.10/19.99 % (2037137)CaDiCaL version: 2.1.3
% 133.10/19.99 % (2037137)Termination reason: Instruction limit
% 133.10/19.99 % (2037137)Termination phase: Saturation
% 133.10/19.99 % (2037137)Time elapsed: 4.215 s
% 133.10/19.99 % (2037137)Peak memory usage: 173 MB
% 133.10/19.99 % (2037137)Instructions burned: 14127 (million)
% 133.10/19.99 % (2037149)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=3177050014:i=21611:sd=3:ss=axioms_2817 on theBenchmark for (2817ds/21611Mi)
% 133.10/19.99 % (2037143)First to succeed.
% 133.10/19.99 % (2037143)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2037040"
% 133.10/19.99 % (2037145)Instruction limit reached!
% 133.10/19.99 % (2037145)------------------------------
% 133.10/19.99 % (2037145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 133.10/19.99 % (2037145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 133.10/19.99 % (2037145)CaDiCaL version: 2.1.3
% 133.10/19.99 % (2037145)Termination reason: Instruction limit
% 133.10/19.99 % (2037145)Termination phase: Saturation
% 133.10/19.99 % (2037145)Time elapsed: 1.294 s
% 133.10/19.99 % (2037145)Peak memory usage: 137 MB
% 133.10/19.99 % (2037145)Instructions burned: 2034 (million)
% 133.10/19.99 % (2037143)Refutation found. Thanks to Tanya!
% 133.10/19.99 % SZS status Theorem for theBenchmark
% 133.10/19.99 % SZS output start Proof for theBenchmark
% See solution above
% 135.96/20.19 % (2037143)------------------------------
% 135.96/20.19 % (2037143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 135.96/20.19 % (2037143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 135.96/20.19 % (2037143)CaDiCaL version: 2.1.3
% 135.96/20.19 % (2037143)Termination reason: Refutation
% 135.96/20.19 % (2037143)Time elapsed: 1.637 s
% 135.96/20.19 % (2037143)Peak memory usage: 141 MB
% 135.96/20.19 % (2037143)Instructions burned: 2378 (million)
% 135.96/20.19 % (2037143)------------------------------
% 135.96/20.19 % (2037143)------------------------------
% 135.96/20.19 % (2037040)Success in time 19.112 s
% 135.96/20.19 % Vampire exiting
%------------------------------------------------------------------------------