%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU389+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:48:40 PM UTC 2026
% Result : Theorem 27.39s 4.79s
% Output : Refutation 28.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 27
% Syntax : Number of formulae : 252 ( 22 unt; 9 def)
% Number of atoms : 1064 ( 31 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 1382 ( 570 ~; 645 |; 104 &)
% ( 29 <=>; 32 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 10 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-3 aty)
% Number of variables : 384 ( 0 sgn 359 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f124,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ( point_neighbourhood(X2,X0,X1)
<=> in(X1,interior(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_connsp_2) ).
fof(f146,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_yellow19) ).
fof(f172,axiom,
! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f174,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f195,axiom,
! [X0] :
( ( topological_space(X0)
& top_str(X0) )
=> ! [X1,X2] :
( is_a_convergence_point_of_set(X0,X1,X2)
<=> ! [X3] :
( element(X3,powerset(the_carrier(X0)))
=> ( ( open_subset(X3,X0)
& in(X2,X3) )
=> in(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_waybel_7) ).
fof(f250,axiom,
! [X0,X1] :
( ( top_str(X0)
& element(X1,powerset(the_carrier(X0))) )
=> element(interior(X0,X1),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_tops_1) ).
fof(f255,axiom,
! [X0,X1] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& element(X1,the_carrier(X0)) )
=> element(neighborhood_system(X0,X1),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_yellow19) ).
fof(f320,axiom,
! [X0] :
( top_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f447,axiom,
! [X0,X1] :
( ( topological_space(X0)
& top_str(X0)
& element(X1,powerset(the_carrier(X0))) )
=> open_subset(interior(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_tops_1) ).
fof(f461,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& element(X2,the_carrier(X1)) )
=> ( in(X0,a_2_0_yellow19(X1,X2))
<=> ? [X3] :
( point_neighbourhood(X3,X1,X2)
& X0 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_yellow19) ).
fof(f665,axiom,
! [X0,X1] :
( element(X1,powerset(the_carrier(boole_POSet(X0))))
=> ( upper_relstr_subset(X1,boole_POSet(X0))
<=> ! [X2,X3] :
( ( subset(X2,X3)
& subset(X3,X0)
& in(X2,X1) )
=> in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_waybel_7) ).
fof(f790,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f794,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/sandbox/benchmark/theBenchmark.p',t3_yellow19) ).
fof(f803,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> subset(interior(X0,X1),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_tops_1) ).
fof(f820,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f821,axiom,
! [X0] : the_carrier(boole_POSet(X0)) = powerset(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_waybel_7) ).
fof(f824,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X0)))
& element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
=> ( is_a_convergence_point_of_set(X0,X2,X1)
<=> subset(neighborhood_system(X0,X1),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_yellow19) ).
fof(f825,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X0)))
& element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
=> ( is_a_convergence_point_of_set(X0,X2,X1)
<=> subset(neighborhood_system(X0,X1),X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f824]) ).
fof(f839,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( open_subset(X1,X0)
& in(X2,X1) )
=> point_neighbourhood(X1,X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_connsp_2) ).
fof(f1049,plain,
! [X0,X1] :
( ( upper_relstr_subset(X1,boole_POSet(X0))
<=> ! [X2,X3] :
( in(X3,X1)
| ~ subset(X2,X3)
| ~ subset(X3,X0)
| ~ in(X2,X1) ) )
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(ennf_transformation,[],[f665]) ).
fof(f1050,plain,
! [X0,X1] :
( ( upper_relstr_subset(X1,boole_POSet(X0))
<=> ! [X2,X3] :
( in(X3,X1)
| ~ subset(X2,X3)
| ~ subset(X3,X0)
| ~ in(X2,X1) ) )
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(flattening,[],[f1049]) ).
fof(f1220,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,[],[f794]) ).
fof(f1221,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,[],[f1220]) ).
fof(f1233,plain,
! [X0] :
( ! [X1] :
( subset(interior(X0,X1),X1)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f803]) ).
fof(f1260,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( is_a_convergence_point_of_set(X0,X2,X1)
<~> subset(neighborhood_system(X0,X1),X2) )
& upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X0)))
& element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) ),
inference(ennf_transformation,[],[f825]) ).
fof(f1261,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( is_a_convergence_point_of_set(X0,X2,X1)
<~> subset(neighborhood_system(X0,X1),X2) )
& upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X0)))
& element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) ),
inference(flattening,[],[f1260]) ).
fof(f1286,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( point_neighbourhood(X1,X0,X2)
| ~ open_subset(X1,X0)
| ~ in(X2,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f839]) ).
fof(f1287,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( point_neighbourhood(X1,X0,X2)
| ~ open_subset(X1,X0)
| ~ in(X2,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f1286]) ).
fof(f1345,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f820]) ).
fof(f1346,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f1345]) ).
fof(f1351,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f174]) ).
fof(f1431,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f320]) ).
fof(f1545,plain,
! [X0] :
( cast_as_carrier_subset(X0) = the_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f172]) ).
fof(f1768,plain,
! [X0,X1] :
( open_subset(interior(X0,X1),X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(ennf_transformation,[],[f447]) ).
fof(f1769,plain,
! [X0,X1] :
( open_subset(interior(X0,X1),X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f1768]) ).
fof(f1817,plain,
! [X0,X1] :
( 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,[],[f255]) ).
fof(f1818,plain,
! [X0,X1] :
( 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,[],[f1817]) ).
fof(f1819,plain,
! [X0] :
( ! [X1] :
( neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1)
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f146]) ).
fof(f1820,plain,
! [X0] :
( ! [X1] :
( neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1)
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f1819]) ).
fof(f1825,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( point_neighbourhood(X2,X0,X1)
<=> in(X1,interior(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,[],[f124]) ).
fof(f1826,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( point_neighbourhood(X2,X0,X1)
<=> in(X1,interior(X0,X2)) )
| ~ element(X2,powerset(the_carrier(X0))) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f1825]) ).
fof(f1839,plain,
! [X0,X1] :
( element(interior(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(ennf_transformation,[],[f250]) ).
fof(f1840,plain,
! [X0,X1] :
( element(interior(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f1839]) ).
fof(f1848,plain,
! [X0] :
( ! [X1,X2] :
( is_a_convergence_point_of_set(X0,X1,X2)
<=> ! [X3] :
( in(X3,X1)
| ~ open_subset(X3,X0)
| ~ in(X2,X3)
| ~ element(X3,powerset(the_carrier(X0))) ) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f195]) ).
fof(f1849,plain,
! [X0] :
( ! [X1,X2] :
( is_a_convergence_point_of_set(X0,X1,X2)
<=> ! [X3] :
( in(X3,X1)
| ~ open_subset(X3,X0)
| ~ in(X2,X3)
| ~ element(X3,powerset(the_carrier(X0))) ) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f1848]) ).
fof(f2021,plain,
! [X0,X1,X2] :
( ( in(X0,a_2_0_yellow19(X1,X2))
<=> ? [X3] :
( point_neighbourhood(X3,X1,X2)
& X0 = X3 ) )
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(ennf_transformation,[],[f461]) ).
fof(f2022,plain,
! [X0,X1,X2] :
( ( in(X0,a_2_0_yellow19(X1,X2))
<=> ? [X3] :
( point_neighbourhood(X3,X1,X2)
& X0 = X3 ) )
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(flattening,[],[f2021]) ).
fof(f2342,plain,
! [X0,X1] :
( ( ( upper_relstr_subset(X1,boole_POSet(X0))
| ? [X2,X3] :
( ~ in(X3,X1)
& subset(X2,X3)
& subset(X3,X0)
& in(X2,X1) ) )
& ( ! [X2,X3] :
( in(X3,X1)
| ~ subset(X2,X3)
| ~ subset(X3,X0)
| ~ in(X2,X1) )
| ~ upper_relstr_subset(X1,boole_POSet(X0)) ) )
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(nnf_transformation,[],[f1050]) ).
fof(f2343,plain,
! [X0,X1] :
( ( ( upper_relstr_subset(X1,boole_POSet(X0))
| ? [X2,X3] :
( ~ in(X3,X1)
& subset(X2,X3)
& subset(X3,X0)
& in(X2,X1) ) )
& ( ! [X4,X5] :
( in(X5,X1)
| ~ subset(X4,X5)
| ~ subset(X5,X0)
| ~ in(X4,X1) )
| ~ upper_relstr_subset(X1,boole_POSet(X0)) ) )
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(rectify,[],[f2342]) ).
fof(f2344,plain,
! [X0,X1] :
( ( ( upper_relstr_subset(X1,boole_POSet(X0))
| ( ~ in(sK200(X0,X1),X1)
& subset(sK199(X0,X1),sK200(X0,X1))
& subset(sK200(X0,X1),X0)
& in(sK199(X0,X1),X1) ) )
& ( ! [X4,X5] :
( in(X5,X1)
| ~ subset(X4,X5)
| ~ subset(X5,X0)
| ~ in(X4,X1) )
| ~ upper_relstr_subset(X1,boole_POSet(X0)) ) )
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK199,sK200]),skolemize(X2,sK199(X0,X1)),skolemize(X3,sK200(X0,X1))],[f2343]) ).
fof(f2411,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,[],[f1221]) ).
fof(f2427,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ subset(neighborhood_system(X0,X1),X2)
| ~ is_a_convergence_point_of_set(X0,X2,X1) )
& ( subset(neighborhood_system(X0,X1),X2)
| is_a_convergence_point_of_set(X0,X2,X1) )
& upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X0)))
& element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) ),
inference(nnf_transformation,[],[f1261]) ).
fof(f2428,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ subset(neighborhood_system(X0,X1),X2)
| ~ is_a_convergence_point_of_set(X0,X2,X1) )
& ( subset(neighborhood_system(X0,X1),X2)
| is_a_convergence_point_of_set(X0,X2,X1) )
& upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X0)))
& element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) ),
inference(flattening,[],[f2427]) ).
fof(f2429,plain,
( ( ~ subset(neighborhood_system(sK231,sK232),sK233)
| ~ is_a_convergence_point_of_set(sK231,sK233,sK232) )
& ( subset(neighborhood_system(sK231,sK232),sK233)
| is_a_convergence_point_of_set(sK231,sK233,sK232) )
& upper_relstr_subset(sK233,boole_POSet(cast_as_carrier_subset(sK231)))
& element(sK233,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK231)))))
& element(sK232,the_carrier(sK231))
& ~ empty_carrier(sK231)
& topological_space(sK231)
& top_str(sK231) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK231,sK232,sK233]),skolemize(X0,sK231),skolemize(X1,sK232),skolemize(X2,sK233)],[f2428]) ).
fof(f2462,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f1351]) ).
fof(f2463,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f2462]) ).
fof(f2464,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK242(X0,X1),X1)
& in(sK242(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK242]),skolemize(X2,sK242(X0,X1))],[f2463]) ).
fof(f2582,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f790]) ).
fof(f2927,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( point_neighbourhood(X2,X0,X1)
| ~ in(X1,interior(X0,X2)) )
& ( in(X1,interior(X0,X2))
| ~ point_neighbourhood(X2,X0,X1) ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f1826]) ).
fof(f2937,plain,
! [X0] :
( ! [X1,X2] :
( ( is_a_convergence_point_of_set(X0,X1,X2)
| ? [X3] :
( ~ in(X3,X1)
& open_subset(X3,X0)
& in(X2,X3)
& element(X3,powerset(the_carrier(X0))) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ open_subset(X3,X0)
| ~ in(X2,X3)
| ~ element(X3,powerset(the_carrier(X0))) )
| ~ is_a_convergence_point_of_set(X0,X1,X2) ) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f1849]) ).
fof(f2938,plain,
! [X0] :
( ! [X1,X2] :
( ( is_a_convergence_point_of_set(X0,X1,X2)
| ? [X3] :
( ~ in(X3,X1)
& open_subset(X3,X0)
& in(X2,X3)
& element(X3,powerset(the_carrier(X0))) ) )
& ( ! [X4] :
( in(X4,X1)
| ~ open_subset(X4,X0)
| ~ in(X2,X4)
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ is_a_convergence_point_of_set(X0,X1,X2) ) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(rectify,[],[f2937]) ).
fof(f2939,plain,
! [X0] :
( ! [X1,X2] :
( ( is_a_convergence_point_of_set(X0,X1,X2)
| ( ~ in(sK589(X0,X1,X2),X1)
& open_subset(sK589(X0,X1,X2),X0)
& in(X2,sK589(X0,X1,X2))
& element(sK589(X0,X1,X2),powerset(the_carrier(X0))) ) )
& ( ! [X4] :
( in(X4,X1)
| ~ open_subset(X4,X0)
| ~ in(X2,X4)
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ is_a_convergence_point_of_set(X0,X1,X2) ) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK589]),skolemize(X3,sK589(X0,X1,X2))],[f2938]) ).
fof(f3002,plain,
! [X0,X1,X2] :
( ( ( in(X0,a_2_0_yellow19(X1,X2))
| ! [X3] :
( ~ point_neighbourhood(X3,X1,X2)
| X0 != X3 ) )
& ( ? [X3] :
( point_neighbourhood(X3,X1,X2)
& X0 = X3 )
| ~ in(X0,a_2_0_yellow19(X1,X2)) ) )
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(nnf_transformation,[],[f2022]) ).
fof(f3003,plain,
! [X0,X1,X2] :
( ( ( in(X0,a_2_0_yellow19(X1,X2))
| ! [X3] :
( ~ point_neighbourhood(X3,X1,X2)
| X0 != X3 ) )
& ( ? [X4] :
( point_neighbourhood(X4,X1,X2)
& X0 = X4 )
| ~ in(X0,a_2_0_yellow19(X1,X2)) ) )
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(rectify,[],[f3002]) ).
fof(f3004,plain,
! [X0,X1,X2] :
( ( ( in(X0,a_2_0_yellow19(X1,X2))
| ! [X3] :
( ~ point_neighbourhood(X3,X1,X2)
| X0 != X3 ) )
& ( ( point_neighbourhood(sK633(X0,X1,X2),X1,X2)
& sK633(X0,X1,X2) = X0 )
| ~ in(X0,a_2_0_yellow19(X1,X2)) ) )
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK633]),skolemize(X4,sK633(X0,X1,X2))],[f3003]) ).
fof(f3325,plain,
! [X0,X1,X4,X5] :
( in(X5,X1)
| ~ subset(X4,X5)
| ~ subset(X5,X0)
| ~ in(X4,X1)
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(cnf_transformation,[],[f2344]) ).
fof(f3553,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f2411]) ).
fof(f3571,plain,
! [X0,X1] :
( subset(interior(X0,X1),X1)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1233]) ).
fof(f3597,plain,
! [X0] : powerset(X0) = the_carrier(boole_POSet(X0)),
inference(cnf_transformation,[],[f821]) ).
fof(f3601,plain,
top_str(sK231),
inference(cnf_transformation,[],[f2429]) ).
fof(f3602,plain,
topological_space(sK231),
inference(cnf_transformation,[],[f2429]) ).
fof(f3603,plain,
~ empty_carrier(sK231),
inference(cnf_transformation,[],[f2429]) ).
fof(f3604,plain,
element(sK232,the_carrier(sK231)),
inference(cnf_transformation,[],[f2429]) ).
fof(f3605,plain,
element(sK233,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK231))))),
inference(cnf_transformation,[],[f2429]) ).
fof(f3606,plain,
upper_relstr_subset(sK233,boole_POSet(cast_as_carrier_subset(sK231))),
inference(cnf_transformation,[],[f2429]) ).
fof(f3607,plain,
( subset(neighborhood_system(sK231,sK232),sK233)
| is_a_convergence_point_of_set(sK231,sK233,sK232) ),
inference(cnf_transformation,[],[f2429]) ).
fof(f3608,plain,
( ~ subset(neighborhood_system(sK231,sK232),sK233)
| ~ is_a_convergence_point_of_set(sK231,sK233,sK232) ),
inference(cnf_transformation,[],[f2429]) ).
fof(f3645,plain,
! [X2,X0,X1] :
( point_neighbourhood(X1,X0,X2)
| ~ open_subset(X1,X0)
| ~ in(X2,X1)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,powerset(the_carrier(X0)))
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1287]) ).
fof(f3725,plain,
! [X2,X0,X1] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(cnf_transformation,[],[f1346]) ).
fof(f3730,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f2464]) ).
fof(f3731,plain,
! [X0,X1] :
( in(sK242(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f2464]) ).
fof(f3732,plain,
! [X0,X1] :
( ~ in(sK242(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f2464]) ).
fof(f3992,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f2582]) ).
fof(f4075,plain,
! [X0] :
( ~ top_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1431]) ).
fof(f4449,plain,
! [X0] :
( ~ one_sorted_str(X0)
| the_carrier(X0) = cast_as_carrier_subset(X0) ),
inference(cnf_transformation,[],[f1545]) ).
fof(f5123,plain,
! [X0,X1] :
( open_subset(interior(X0,X1),X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f1769]) ).
fof(f5211,plain,
! [X0,X1] :
( 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,[],[f1818]) ).
fof(f5212,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(X0))
| neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1820]) ).
fof(f5215,plain,
! [X2,X0,X1] :
( in(X1,interior(X0,X2))
| ~ point_neighbourhood(X2,X0,X1)
| ~ element(X2,powerset(the_carrier(X0)))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f2927]) ).
fof(f5268,plain,
! [X0,X1] :
( element(interior(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f1840]) ).
fof(f5289,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ open_subset(X4,X0)
| ~ in(X2,X4)
| ~ element(X4,powerset(the_carrier(X0)))
| ~ is_a_convergence_point_of_set(X0,X1,X2)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f2939]) ).
fof(f5290,plain,
! [X2,X0,X1] :
( is_a_convergence_point_of_set(X0,X1,X2)
| element(sK589(X0,X1,X2),powerset(the_carrier(X0)))
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f2939]) ).
fof(f5291,plain,
! [X2,X0,X1] :
( in(X2,sK589(X0,X1,X2))
| is_a_convergence_point_of_set(X0,X1,X2)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f2939]) ).
fof(f5292,plain,
! [X2,X0,X1] :
( open_subset(sK589(X0,X1,X2),X0)
| is_a_convergence_point_of_set(X0,X1,X2)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f2939]) ).
fof(f5293,plain,
! [X2,X0,X1] :
( ~ in(sK589(X0,X1,X2),X1)
| is_a_convergence_point_of_set(X0,X1,X2)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f2939]) ).
fof(f5791,plain,
! [X2,X0,X1] :
( ~ in(X0,a_2_0_yellow19(X1,X2))
| sK633(X0,X1,X2) = X0
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(cnf_transformation,[],[f3004]) ).
fof(f5792,plain,
! [X2,X0,X1] :
( point_neighbourhood(sK633(X0,X1,X2),X1,X2)
| ~ in(X0,a_2_0_yellow19(X1,X2))
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(cnf_transformation,[],[f3004]) ).
fof(f6036,plain,
! [X0,X1,X4,X5] :
( ~ element(X1,the_carrier(boole_POSet(the_carrier(boole_POSet(X0)))))
| ~ subset(X4,X5)
| ~ subset(X5,X0)
| ~ in(X4,X1)
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| in(X5,X1) ),
inference(definition_unfolding,[],[f3325,f3597]) ).
fof(f6108,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(boole_POSet(the_carrier(X0))))
| subset(interior(X0,X1),X1)
| ~ top_str(X0) ),
inference(definition_unfolding,[],[f3571,f3597]) ).
fof(f6127,plain,
element(sK233,the_carrier(boole_POSet(the_carrier(boole_POSet(cast_as_carrier_subset(sK231)))))),
inference(definition_unfolding,[],[f3605,f3597]) ).
fof(f6136,plain,
! [X2,X0,X1] :
( point_neighbourhood(X1,X0,X2)
| ~ open_subset(X1,X0)
| ~ in(X2,X1)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(boole_POSet(the_carrier(X0))))
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(definition_unfolding,[],[f3645,f3597]) ).
fof(f6170,plain,
! [X2,X0,X1] :
( ~ element(X1,the_carrier(boole_POSet(X2)))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(definition_unfolding,[],[f3725,f3597]) ).
fof(f6282,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(boole_POSet(X1)))
| subset(X0,X1) ),
inference(definition_unfolding,[],[f3992,f3597]) ).
fof(f6538,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(boole_POSet(the_carrier(X0))))
| ~ topological_space(X0)
| ~ top_str(X0)
| open_subset(interior(X0,X1),X0) ),
inference(definition_unfolding,[],[f5123,f3597]) ).
fof(f6557,plain,
! [X0,X1] :
( element(neighborhood_system(X0,X1),the_carrier(boole_POSet(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))))
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(definition_unfolding,[],[f5211,f3597]) ).
fof(f6560,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(boole_POSet(the_carrier(X0))))
| ~ point_neighbourhood(X2,X0,X1)
| in(X1,interior(X0,X2))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(definition_unfolding,[],[f5215,f3597]) ).
fof(f6568,plain,
! [X0,X1] :
( element(interior(X0,X1),the_carrier(boole_POSet(the_carrier(X0))))
| ~ top_str(X0)
| ~ element(X1,the_carrier(boole_POSet(the_carrier(X0)))) ),
inference(definition_unfolding,[],[f5268,f3597,f3597]) ).
fof(f6580,plain,
! [X2,X0,X1] :
( element(sK589(X0,X1,X2),the_carrier(boole_POSet(the_carrier(X0))))
| is_a_convergence_point_of_set(X0,X1,X2)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(definition_unfolding,[],[f5290,f3597]) ).
fof(f6581,plain,
! [X2,X0,X1,X4] :
( ~ element(X4,the_carrier(boole_POSet(the_carrier(X0))))
| ~ open_subset(X4,X0)
| ~ in(X2,X4)
| in(X4,X1)
| ~ is_a_convergence_point_of_set(X0,X1,X2)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(definition_unfolding,[],[f5289,f3597]) ).
fof(f7121,plain,
! [X2,X0,X1] :
( ~ element(X1,the_carrier(boole_POSet(the_carrier(X0))))
| ~ open_subset(X1,X0)
| ~ in(X2,X1)
| point_neighbourhood(X1,X0,X2)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(forward_subsumption_resolution,[],[f6136,f6170]) ).
fof(f7140,definition,
( spl635_27
<=> is_a_convergence_point_of_set(sK231,sK233,sK232) ),
introduced(definition,[new_symbols(definition,[spl635_27])],[avatar_definition]) ).
fof(f7141,plain,
( ~ is_a_convergence_point_of_set(sK231,sK233,sK232)
| spl635_27 ),
inference(avatar_component_clause,[],[f7140]) ).
fof(f7142,plain,
( is_a_convergence_point_of_set(sK231,sK233,sK232)
| ~ spl635_27 ),
inference(avatar_component_clause,[],[f7140]) ).
fof(f7144,definition,
( spl635_28
<=> subset(neighborhood_system(sK231,sK232),sK233) ),
introduced(definition,[new_symbols(definition,[spl635_28])],[avatar_definition]) ).
fof(f7145,plain,
( ~ subset(neighborhood_system(sK231,sK232),sK233)
| spl635_28 ),
inference(avatar_component_clause,[],[f7144]) ).
fof(f7146,plain,
( subset(neighborhood_system(sK231,sK232),sK233)
| ~ spl635_28 ),
inference(avatar_component_clause,[],[f7144]) ).
fof(f7147,plain,
( spl635_27
| spl635_28 ),
inference(avatar_split_clause,[],[f3607,f7144,f7140]) ).
fof(f7148,plain,
( ~ spl635_27
| ~ spl635_28 ),
inference(avatar_split_clause,[],[f3608,f7144,f7140]) ).
fof(f7372,plain,
( neighborhood_system(sK231,sK232) = a_2_0_yellow19(sK231,sK232)
| empty_carrier(sK231)
| ~ topological_space(sK231)
| ~ top_str(sK231) ),
inference(resolution,[],[f5212,f3604]) ).
fof(f7373,plain,
( neighborhood_system(sK231,sK232) = a_2_0_yellow19(sK231,sK232)
| ~ topological_space(sK231)
| ~ top_str(sK231) ),
inference(forward_subsumption_resolution,[],[f7372,f3603]) ).
fof(f7375,plain,
( neighborhood_system(sK231,sK232) = a_2_0_yellow19(sK231,sK232)
| ~ top_str(sK231) ),
inference(forward_subsumption_resolution,[],[f7373,f3602]) ).
fof(f7389,plain,
neighborhood_system(sK231,sK232) = a_2_0_yellow19(sK231,sK232),
inference(forward_subsumption_resolution,[],[f7375,f3601]) ).
fof(f7393,plain,
! [X2,X3,X0,X1] :
( ~ point_neighbourhood(sK589(X0,neighborhood_system(X1,X2),X3),X1,X2)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_a_convergence_point_of_set(X0,neighborhood_system(X1,X2),X3)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f3553,f5293]) ).
fof(f7413,plain,
one_sorted_str(sK231),
inference(resolution,[],[f4075,f3601]) ).
fof(f7424,plain,
! [X2,X3,X0,X1,X4] :
( is_a_convergence_point_of_set(X0,X1,X2)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ open_subset(sK589(X0,X1,X2),X0)
| ~ in(X3,sK589(X0,X1,X2))
| in(sK589(X0,X1,X2),X4)
| ~ is_a_convergence_point_of_set(X0,X4,X3)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f6580,f6581]) ).
fof(f7428,plain,
! [X2,X3,X0,X1,X4] :
( is_a_convergence_point_of_set(X0,X1,X2)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ open_subset(sK589(X0,X1,X2),X0)
| ~ in(X3,sK589(X0,X1,X2))
| in(sK589(X0,X1,X2),X4)
| ~ is_a_convergence_point_of_set(X0,X4,X3) ),
inference(duplicate_literal_removal,[],[f7424]) ).
fof(f7435,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(X3,sK589(X0,X1,X2))
| ~ topological_space(X0)
| ~ top_str(X0)
| is_a_convergence_point_of_set(X0,X1,X2)
| in(sK589(X0,X1,X2),X4)
| ~ is_a_convergence_point_of_set(X0,X4,X3) ),
inference(forward_subsumption_resolution,[],[f7428,f5292]) ).
fof(f7453,plain,
! [X2,X3,X0,X1] :
( ~ topological_space(X0)
| ~ top_str(X0)
| is_a_convergence_point_of_set(X0,X1,X2)
| in(sK589(X0,X1,X2),X3)
| ~ is_a_convergence_point_of_set(X0,X3,X2)
| is_a_convergence_point_of_set(X0,X1,X2)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f7435,f5291]) ).
fof(f7455,plain,
! [X2,X3,X0,X1] :
( in(sK589(X0,X1,X2),X3)
| ~ top_str(X0)
| is_a_convergence_point_of_set(X0,X1,X2)
| ~ topological_space(X0)
| ~ is_a_convergence_point_of_set(X0,X3,X2) ),
inference(duplicate_literal_removal,[],[f7453]) ).
fof(f7520,plain,
! [X0] :
( ~ in(X0,neighborhood_system(sK231,sK232))
| sK633(X0,sK231,sK232) = X0
| empty_carrier(sK231)
| ~ topological_space(sK231)
| ~ top_str(sK231)
| ~ element(sK232,the_carrier(sK231)) ),
inference(superposition,[],[f5791,f7389]) ).
fof(f7521,plain,
! [X0] :
( ~ in(X0,neighborhood_system(sK231,sK232))
| sK633(X0,sK231,sK232) = X0
| ~ topological_space(sK231)
| ~ top_str(sK231)
| ~ element(sK232,the_carrier(sK231)) ),
inference(forward_subsumption_resolution,[],[f7520,f3603]) ).
fof(f7522,plain,
! [X0] :
( ~ in(X0,neighborhood_system(sK231,sK232))
| sK633(X0,sK231,sK232) = X0
| ~ top_str(sK231)
| ~ element(sK232,the_carrier(sK231)) ),
inference(forward_subsumption_resolution,[],[f7521,f3602]) ).
fof(f7523,plain,
! [X0] :
( ~ in(X0,neighborhood_system(sK231,sK232))
| sK633(X0,sK231,sK232) = X0
| ~ element(sK232,the_carrier(sK231)) ),
inference(forward_subsumption_resolution,[],[f7522,f3601]) ).
fof(f7524,plain,
! [X0] :
( ~ in(X0,neighborhood_system(sK231,sK232))
| sK633(X0,sK231,sK232) = X0 ),
inference(forward_subsumption_resolution,[],[f7523,f3604]) ).
fof(f7526,plain,
! [X0] :
( subset(neighborhood_system(sK231,sK232),X0)
| sK242(neighborhood_system(sK231,sK232),X0) = sK633(sK242(neighborhood_system(sK231,sK232),X0),sK231,sK232) ),
inference(resolution,[],[f7524,f3731]) ).
fof(f7559,plain,
cast_as_carrier_subset(sK231) = the_carrier(sK231),
inference(resolution,[],[f4449,f7413]) ).
fof(f7619,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X1,cast_as_carrier_subset(sK231))
| ~ in(X0,sK233)
| ~ upper_relstr_subset(sK233,boole_POSet(cast_as_carrier_subset(sK231)))
| in(X1,sK233) ),
inference(resolution,[],[f6036,f6127]) ).
fof(f7621,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X1,cast_as_carrier_subset(sK231))
| ~ in(X0,sK233)
| in(X1,sK233) ),
inference(forward_subsumption_resolution,[],[f7619,f3606]) ).
fof(f7623,plain,
! [X0,X1] :
( ~ subset(X1,the_carrier(sK231))
| ~ subset(X0,X1)
| ~ in(X0,sK233)
| in(X1,sK233) ),
inference(forward_demodulation,[],[f7621,f7559]) ).
fof(f7681,plain,
! [X2,X0,X1] :
( ~ in(X0,neighborhood_system(X1,X2))
| element(X0,the_carrier(boole_POSet(cast_as_carrier_subset(X1))))
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(resolution,[],[f6170,f6557]) ).
fof(f7684,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,sK589(X1,X2,X3))
| element(X0,the_carrier(X1))
| is_a_convergence_point_of_set(X1,X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1) ),
inference(resolution,[],[f6170,f6580]) ).
fof(f8038,plain,
! [X2,X3,X0,X1] :
( ~ open_subset(sK589(X0,X1,X2),X0)
| ~ in(X3,sK589(X0,X1,X2))
| point_neighbourhood(sK589(X0,X1,X2),X0,X3)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| is_a_convergence_point_of_set(X0,X1,X2)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f7121,f6580]) ).
fof(f8040,plain,
! [X2,X3,X0,X1] :
( ~ open_subset(sK589(X0,X1,X2),X0)
| ~ in(X3,sK589(X0,X1,X2))
| point_neighbourhood(sK589(X0,X1,X2),X0,X3)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| is_a_convergence_point_of_set(X0,X1,X2) ),
inference(duplicate_literal_removal,[],[f8038]) ).
fof(f8042,plain,
! [X2,X3,X0,X1] :
( point_neighbourhood(sK589(X0,X1,X2),X0,X3)
| ~ in(X3,sK589(X0,X1,X2))
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| is_a_convergence_point_of_set(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f8040,f5292]) ).
fof(f8046,plain,
! [X2,X0,X1] :
( ~ in(X0,sK589(X1,neighborhood_system(X1,X0),X2))
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_a_convergence_point_of_set(X1,neighborhood_system(X1,X0),X2)
| ~ element(X0,the_carrier(X1))
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_a_convergence_point_of_set(X1,neighborhood_system(X1,X0),X2)
| ~ topological_space(X1)
| ~ top_str(X1) ),
inference(resolution,[],[f8042,f7393]) ).
fof(f8049,plain,
! [X2,X0,X1] :
( ~ in(X0,sK589(X1,neighborhood_system(X1,X0),X2))
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_a_convergence_point_of_set(X1,neighborhood_system(X1,X0),X2)
| ~ element(X0,the_carrier(X1)) ),
inference(duplicate_literal_removal,[],[f8046]) ).
fof(f8051,plain,
! [X2,X0,X1] :
( ~ in(X0,sK589(X1,neighborhood_system(X1,X0),X2))
| empty_carrier(X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| is_a_convergence_point_of_set(X1,neighborhood_system(X1,X0),X2) ),
inference(forward_subsumption_resolution,[],[f8049,f7684]) ).
fof(f8052,plain,
! [X0,X1] :
( empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| is_a_convergence_point_of_set(X0,neighborhood_system(X0,X1),X1)
| is_a_convergence_point_of_set(X0,neighborhood_system(X0,X1),X1)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f8051,f5291]) ).
fof(f8054,plain,
! [X0,X1] :
( is_a_convergence_point_of_set(X0,neighborhood_system(X0,X1),X1)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X0) ),
inference(duplicate_literal_removal,[],[f8052]) ).
fof(f8089,plain,
! [X2,X3,X0,X1] :
( ~ top_str(X0)
| ~ element(X1,the_carrier(boole_POSet(the_carrier(X0))))
| ~ open_subset(interior(X0,X1),X0)
| ~ in(X2,interior(X0,X1))
| in(interior(X0,X1),X3)
| ~ is_a_convergence_point_of_set(X0,X3,X2)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(resolution,[],[f6568,f6581]) ).
fof(f8104,plain,
! [X2,X3,X0,X1] :
( ~ top_str(X0)
| ~ element(X1,the_carrier(boole_POSet(the_carrier(X0))))
| ~ open_subset(interior(X0,X1),X0)
| ~ in(X2,interior(X0,X1))
| in(interior(X0,X1),X3)
| ~ is_a_convergence_point_of_set(X0,X3,X2)
| ~ topological_space(X0) ),
inference(duplicate_literal_removal,[],[f8089]) ).
fof(f8118,plain,
! [X2,X3,X0,X1] :
( ~ element(X1,the_carrier(boole_POSet(the_carrier(X0))))
| ~ top_str(X0)
| ~ in(X2,interior(X0,X1))
| in(interior(X0,X1),X3)
| ~ is_a_convergence_point_of_set(X0,X3,X2)
| ~ topological_space(X0) ),
inference(forward_subsumption_resolution,[],[f8104,f6538]) ).
fof(f11504,plain,
( sK242(neighborhood_system(sK231,sK232),sK233) = sK633(sK242(neighborhood_system(sK231,sK232),sK233),sK231,sK232)
| spl635_28 ),
inference(resolution,[],[f7526,f7145]) ).
fof(f11534,plain,
( point_neighbourhood(sK242(neighborhood_system(sK231,sK232),sK233),sK231,sK232)
| ~ in(sK242(neighborhood_system(sK231,sK232),sK233),a_2_0_yellow19(sK231,sK232))
| empty_carrier(sK231)
| ~ topological_space(sK231)
| ~ top_str(sK231)
| ~ element(sK232,the_carrier(sK231))
| spl635_28 ),
inference(superposition,[],[f5792,f11504]) ).
fof(f11535,plain,
( point_neighbourhood(sK242(neighborhood_system(sK231,sK232),sK233),sK231,sK232)
| ~ in(sK242(neighborhood_system(sK231,sK232),sK233),a_2_0_yellow19(sK231,sK232))
| ~ topological_space(sK231)
| ~ top_str(sK231)
| ~ element(sK232,the_carrier(sK231))
| spl635_28 ),
inference(forward_subsumption_resolution,[],[f11534,f3603]) ).
fof(f11537,plain,
( point_neighbourhood(sK242(neighborhood_system(sK231,sK232),sK233),sK231,sK232)
| ~ in(sK242(neighborhood_system(sK231,sK232),sK233),a_2_0_yellow19(sK231,sK232))
| ~ top_str(sK231)
| ~ element(sK232,the_carrier(sK231))
| spl635_28 ),
inference(forward_subsumption_resolution,[],[f11535,f3602]) ).
fof(f11539,plain,
( point_neighbourhood(sK242(neighborhood_system(sK231,sK232),sK233),sK231,sK232)
| ~ in(sK242(neighborhood_system(sK231,sK232),sK233),a_2_0_yellow19(sK231,sK232))
| ~ element(sK232,the_carrier(sK231))
| spl635_28 ),
inference(forward_subsumption_resolution,[],[f11537,f3601]) ).
fof(f11541,plain,
( point_neighbourhood(sK242(neighborhood_system(sK231,sK232),sK233),sK231,sK232)
| ~ in(sK242(neighborhood_system(sK231,sK232),sK233),a_2_0_yellow19(sK231,sK232))
| spl635_28 ),
inference(forward_subsumption_resolution,[],[f11539,f3604]) ).
fof(f11543,plain,
( ~ in(sK242(neighborhood_system(sK231,sK232),sK233),neighborhood_system(sK231,sK232))
| point_neighbourhood(sK242(neighborhood_system(sK231,sK232),sK233),sK231,sK232)
| spl635_28 ),
inference(forward_demodulation,[],[f11541,f7389]) ).
fof(f11546,definition,
( spl635_191
<=> point_neighbourhood(sK242(neighborhood_system(sK231,sK232),sK233),sK231,sK232) ),
introduced(definition,[new_symbols(definition,[spl635_191])],[avatar_definition]) ).
fof(f11548,plain,
( point_neighbourhood(sK242(neighborhood_system(sK231,sK232),sK233),sK231,sK232)
| ~ spl635_191 ),
inference(avatar_component_clause,[],[f11546]) ).
fof(f11550,definition,
( spl635_192
<=> in(sK242(neighborhood_system(sK231,sK232),sK233),neighborhood_system(sK231,sK232)) ),
introduced(definition,[new_symbols(definition,[spl635_192])],[avatar_definition]) ).
fof(f11551,plain,
( in(sK242(neighborhood_system(sK231,sK232),sK233),neighborhood_system(sK231,sK232))
| ~ spl635_192 ),
inference(avatar_component_clause,[],[f11550]) ).
fof(f11552,plain,
( ~ in(sK242(neighborhood_system(sK231,sK232),sK233),neighborhood_system(sK231,sK232))
| spl635_192 ),
inference(avatar_component_clause,[],[f11550]) ).
fof(f11553,plain,
( spl635_191
| ~ spl635_192
| spl635_28 ),
inference(avatar_split_clause,[],[f11543,f7144,f11550,f11546]) ).
fof(f11559,plain,
( subset(neighborhood_system(sK231,sK232),sK233)
| spl635_192 ),
inference(resolution,[],[f11552,f3731]) ).
fof(f11562,plain,
( $false
| spl635_28
| spl635_192 ),
inference(forward_subsumption_resolution,[],[f11559,f7145]) ).
fof(f11563,plain,
( spl635_28
| spl635_192 ),
inference(avatar_contradiction_clause,[],[f11562]) ).
fof(f11570,plain,
( element(sK242(neighborhood_system(sK231,sK232),sK233),the_carrier(boole_POSet(cast_as_carrier_subset(sK231))))
| empty_carrier(sK231)
| ~ topological_space(sK231)
| ~ top_str(sK231)
| ~ element(sK232,the_carrier(sK231))
| ~ spl635_192 ),
inference(resolution,[],[f11551,f7681]) ).
fof(f11588,plain,
( element(sK242(neighborhood_system(sK231,sK232),sK233),the_carrier(boole_POSet(cast_as_carrier_subset(sK231))))
| ~ topological_space(sK231)
| ~ top_str(sK231)
| ~ element(sK232,the_carrier(sK231))
| ~ spl635_192 ),
inference(forward_subsumption_resolution,[],[f11570,f3603]) ).
fof(f11591,plain,
( element(sK242(neighborhood_system(sK231,sK232),sK233),the_carrier(boole_POSet(cast_as_carrier_subset(sK231))))
| ~ top_str(sK231)
| ~ element(sK232,the_carrier(sK231))
| ~ spl635_192 ),
inference(forward_subsumption_resolution,[],[f11588,f3602]) ).
fof(f11593,plain,
( element(sK242(neighborhood_system(sK231,sK232),sK233),the_carrier(boole_POSet(cast_as_carrier_subset(sK231))))
| ~ element(sK232,the_carrier(sK231))
| ~ spl635_192 ),
inference(forward_subsumption_resolution,[],[f11591,f3601]) ).
fof(f11595,plain,
( element(sK242(neighborhood_system(sK231,sK232),sK233),the_carrier(boole_POSet(cast_as_carrier_subset(sK231))))
| ~ spl635_192 ),
inference(forward_subsumption_resolution,[],[f11593,f3604]) ).
fof(f11597,plain,
( element(sK242(neighborhood_system(sK231,sK232),sK233),the_carrier(boole_POSet(the_carrier(sK231))))
| ~ spl635_192 ),
inference(forward_demodulation,[],[f11595,f7559]) ).
fof(f11616,definition,
( spl635_196
<=> in(sK242(neighborhood_system(sK231,sK232),sK233),sK233) ),
introduced(definition,[new_symbols(definition,[spl635_196])],[avatar_definition]) ).
fof(f11617,plain,
( in(sK242(neighborhood_system(sK231,sK232),sK233),sK233)
| ~ spl635_196 ),
inference(avatar_component_clause,[],[f11616]) ).
fof(f11618,plain,
( ~ in(sK242(neighborhood_system(sK231,sK232),sK233),sK233)
| spl635_196 ),
inference(avatar_component_clause,[],[f11616]) ).
fof(f11653,plain,
( subset(interior(sK231,sK242(neighborhood_system(sK231,sK232),sK233)),sK242(neighborhood_system(sK231,sK232),sK233))
| ~ top_str(sK231)
| ~ spl635_192 ),
inference(resolution,[],[f11597,f6108]) ).
fof(f11671,plain,
( ! [X0] :
( ~ point_neighbourhood(sK242(neighborhood_system(sK231,sK232),sK233),sK231,X0)
| in(X0,interior(sK231,sK242(neighborhood_system(sK231,sK232),sK233)))
| ~ element(X0,the_carrier(sK231))
| empty_carrier(sK231)
| ~ topological_space(sK231)
| ~ top_str(sK231) )
| ~ spl635_192 ),
inference(resolution,[],[f11597,f6560]) ).
fof(f11683,plain,
( ! [X0,X1] :
( ~ top_str(sK231)
| ~ in(X0,interior(sK231,sK242(neighborhood_system(sK231,sK232),sK233)))
| in(interior(sK231,sK242(neighborhood_system(sK231,sK232),sK233)),X1)
| ~ is_a_convergence_point_of_set(sK231,X1,X0)
| ~ topological_space(sK231) )
| ~ spl635_192 ),
inference(resolution,[],[f11597,f8118]) ).
fof(f11688,plain,
( subset(sK242(neighborhood_system(sK231,sK232),sK233),the_carrier(sK231))
| ~ spl635_192 ),
inference(resolution,[],[f11597,f6282]) ).
fof(f11699,plain,
( ! [X0,X1] :
( ~ in(X0,interior(sK231,sK242(neighborhood_system(sK231,sK232),sK233)))
| in(interior(sK231,sK242(neighborhood_system(sK231,sK232),sK233)),X1)
| ~ is_a_convergence_point_of_set(sK231,X1,X0)
| ~ topological_space(sK231) )
| ~ spl635_192 ),
inference(forward_subsumption_resolution,[],[f11683,f3601]) ).
fof(f11711,plain,
( ! [X0] :
( ~ point_neighbourhood(sK242(neighborhood_system(sK231,sK232),sK233),sK231,X0)
| in(X0,interior(sK231,sK242(neighborhood_system(sK231,sK232),sK233)))
| ~ element(X0,the_carrier(sK231))
| ~ topological_space(sK231)
| ~ top_str(sK231) )
| ~ spl635_192 ),
inference(forward_subsumption_resolution,[],[f11671,f3603]) ).
fof(f11728,plain,
( subset(interior(sK231,sK242(neighborhood_system(sK231,sK232),sK233)),sK242(neighborhood_system(sK231,sK232),sK233))
| ~ spl635_192 ),
inference(forward_subsumption_resolution,[],[f11653,f3601]) ).
fof(f11745,plain,
( ! [X0,X1] :
( ~ in(X0,interior(sK231,sK242(neighborhood_system(sK231,sK232),sK233)))
| in(interior(sK231,sK242(neighborhood_system(sK231,sK232),sK233)),X1)
| ~ is_a_convergence_point_of_set(sK231,X1,X0) )
| ~ spl635_192 ),
inference(forward_subsumption_resolution,[],[f11699,f3602]) ).
fof(f11769,plain,
( ! [X0] :
( ~ point_neighbourhood(sK242(neighborhood_system(sK231,sK232),sK233),sK231,X0)
| in(X0,interior(sK231,sK242(neighborhood_system(sK231,sK232),sK233)))
| ~ element(X0,the_carrier(sK231))
| ~ top_str(sK231) )
| ~ spl635_192 ),
inference(forward_subsumption_resolution,[],[f11711,f3602]) ).
fof(f11809,plain,
( ! [X0] :
( in(X0,interior(sK231,sK242(neighborhood_system(sK231,sK232),sK233)))
| ~ point_neighbourhood(sK242(neighborhood_system(sK231,sK232),sK233),sK231,X0)
| ~ element(X0,the_carrier(sK231)) )
| ~ spl635_192 ),
inference(forward_subsumption_resolution,[],[f11769,f3601]) ).
fof(f11869,plain,
( ! [X0] :
( ~ subset(X0,sK242(neighborhood_system(sK231,sK232),sK233))
| ~ in(X0,sK233)
| in(sK242(neighborhood_system(sK231,sK232),sK233),sK233) )
| ~ spl635_192 ),
inference(resolution,[],[f11688,f7623]) ).
fof(f11886,plain,
( ! [X0] :
( ~ subset(X0,sK242(neighborhood_system(sK231,sK232),sK233))
| ~ in(X0,sK233) )
| ~ spl635_192
| spl635_196 ),
inference(forward_subsumption_resolution,[],[f11869,f11618]) ).
fof(f11956,plain,
( ~ in(interior(sK231,sK242(neighborhood_system(sK231,sK232),sK233)),sK233)
| ~ spl635_192
| spl635_196 ),
inference(resolution,[],[f11728,f11886]) ).
fof(f11990,definition,
( spl635_226
<=> in(sK232,interior(sK231,sK242(neighborhood_system(sK231,sK232),sK233))) ),
introduced(definition,[new_symbols(definition,[spl635_226])],[avatar_definition]) ).
fof(f11991,plain,
( in(sK232,interior(sK231,sK242(neighborhood_system(sK231,sK232),sK233)))
| ~ spl635_226 ),
inference(avatar_component_clause,[],[f11990]) ).
fof(f11992,plain,
( ~ in(sK232,interior(sK231,sK242(neighborhood_system(sK231,sK232),sK233)))
| spl635_226 ),
inference(avatar_component_clause,[],[f11990]) ).
fof(f12389,plain,
( ~ point_neighbourhood(sK242(neighborhood_system(sK231,sK232),sK233),sK231,sK232)
| ~ element(sK232,the_carrier(sK231))
| ~ spl635_192
| spl635_226 ),
inference(resolution,[],[f11809,f11992]) ).
fof(f12393,plain,
( ~ element(sK232,the_carrier(sK231))
| ~ spl635_191
| ~ spl635_192
| spl635_226 ),
inference(forward_subsumption_resolution,[],[f12389,f11548]) ).
fof(f12404,plain,
( $false
| ~ spl635_191
| ~ spl635_192
| spl635_226 ),
inference(forward_subsumption_resolution,[],[f12393,f3604]) ).
fof(f12405,plain,
( ~ spl635_191
| ~ spl635_192
| spl635_226 ),
inference(avatar_contradiction_clause,[],[f12404]) ).
fof(f12419,plain,
( ! [X0] :
( in(interior(sK231,sK242(neighborhood_system(sK231,sK232),sK233)),X0)
| ~ is_a_convergence_point_of_set(sK231,X0,sK232) )
| ~ spl635_192
| ~ spl635_226 ),
inference(resolution,[],[f11991,f11745]) ).
fof(f12482,definition,
( spl635_254
<=> is_a_convergence_point_of_set(sK231,neighborhood_system(sK231,sK232),sK232) ),
introduced(definition,[new_symbols(definition,[spl635_254])],[avatar_definition]) ).
fof(f12483,plain,
( is_a_convergence_point_of_set(sK231,neighborhood_system(sK231,sK232),sK232)
| ~ spl635_254 ),
inference(avatar_component_clause,[],[f12482]) ).
fof(f12484,plain,
( ~ is_a_convergence_point_of_set(sK231,neighborhood_system(sK231,sK232),sK232)
| spl635_254 ),
inference(avatar_component_clause,[],[f12482]) ).
fof(f12646,plain,
( ~ topological_space(sK231)
| ~ top_str(sK231)
| empty_carrier(sK231)
| spl635_254 ),
inference(resolution,[],[f12484,f8054]) ).
fof(f12652,plain,
( ~ top_str(sK231)
| empty_carrier(sK231)
| spl635_254 ),
inference(forward_subsumption_resolution,[],[f12646,f3602]) ).
fof(f12655,plain,
( empty_carrier(sK231)
| spl635_254 ),
inference(forward_subsumption_resolution,[],[f12652,f3601]) ).
fof(f12656,plain,
( $false
| spl635_254 ),
inference(forward_subsumption_resolution,[],[f12655,f3603]) ).
fof(f12657,plain,
spl635_254,
inference(avatar_contradiction_clause,[],[f12656]) ).
fof(f12801,plain,
( ~ is_a_convergence_point_of_set(sK231,sK233,sK232)
| ~ spl635_192
| spl635_196
| ~ spl635_226 ),
inference(resolution,[],[f11956,f12419]) ).
fof(f12802,plain,
( $false
| ~ spl635_27
| ~ spl635_192
| spl635_196
| ~ spl635_226 ),
inference(forward_subsumption_resolution,[],[f12801,f7142]) ).
fof(f12803,plain,
( ~ spl635_27
| ~ spl635_192
| spl635_196
| ~ spl635_226 ),
inference(avatar_contradiction_clause,[],[f12802]) ).
fof(f12809,plain,
( subset(neighborhood_system(sK231,sK232),sK233)
| ~ spl635_196 ),
inference(resolution,[],[f11617,f3732]) ).
fof(f12816,plain,
( $false
| spl635_28
| ~ spl635_196 ),
inference(forward_subsumption_resolution,[],[f12809,f7145]) ).
fof(f12817,plain,
( spl635_28
| ~ spl635_196 ),
inference(avatar_contradiction_clause,[],[f12816]) ).
fof(f12827,plain,
( ! [X0] :
( ~ in(X0,neighborhood_system(sK231,sK232))
| in(X0,sK233) )
| ~ spl635_28 ),
inference(resolution,[],[f7146,f3730]) ).
fof(f12919,definition,
( spl635_272
<=> in(sK589(sK231,sK233,sK232),sK233) ),
introduced(definition,[new_symbols(definition,[spl635_272])],[avatar_definition]) ).
fof(f12920,plain,
( in(sK589(sK231,sK233,sK232),sK233)
| ~ spl635_272 ),
inference(avatar_component_clause,[],[f12919]) ).
fof(f12921,plain,
( ~ in(sK589(sK231,sK233,sK232),sK233)
| spl635_272 ),
inference(avatar_component_clause,[],[f12919]) ).
fof(f13243,definition,
( spl635_294
<=> in(sK589(sK231,sK233,sK232),neighborhood_system(sK231,sK232)) ),
introduced(definition,[new_symbols(definition,[spl635_294])],[avatar_definition]) ).
fof(f13244,plain,
( in(sK589(sK231,sK233,sK232),neighborhood_system(sK231,sK232))
| ~ spl635_294 ),
inference(avatar_component_clause,[],[f13243]) ).
fof(f13245,plain,
( ~ in(sK589(sK231,sK233,sK232),neighborhood_system(sK231,sK232))
| spl635_294 ),
inference(avatar_component_clause,[],[f13243]) ).
fof(f13254,plain,
( ~ top_str(sK231)
| is_a_convergence_point_of_set(sK231,sK233,sK232)
| ~ topological_space(sK231)
| ~ is_a_convergence_point_of_set(sK231,neighborhood_system(sK231,sK232),sK232)
| spl635_294 ),
inference(resolution,[],[f13245,f7455]) ).
fof(f13259,plain,
( is_a_convergence_point_of_set(sK231,sK233,sK232)
| ~ topological_space(sK231)
| ~ is_a_convergence_point_of_set(sK231,neighborhood_system(sK231,sK232),sK232)
| spl635_294 ),
inference(forward_subsumption_resolution,[],[f13254,f3601]) ).
fof(f13263,plain,
( ~ topological_space(sK231)
| ~ is_a_convergence_point_of_set(sK231,neighborhood_system(sK231,sK232),sK232)
| spl635_27
| spl635_294 ),
inference(forward_subsumption_resolution,[],[f13259,f7141]) ).
fof(f13268,plain,
( ~ is_a_convergence_point_of_set(sK231,neighborhood_system(sK231,sK232),sK232)
| spl635_27
| spl635_294 ),
inference(forward_subsumption_resolution,[],[f13263,f3602]) ).
fof(f13271,plain,
( $false
| spl635_27
| ~ spl635_254
| spl635_294 ),
inference(forward_subsumption_resolution,[],[f13268,f12483]) ).
fof(f13272,plain,
( spl635_27
| ~ spl635_254
| spl635_294 ),
inference(avatar_contradiction_clause,[],[f13271]) ).
fof(f13279,plain,
( in(sK589(sK231,sK233,sK232),sK233)
| ~ spl635_28
| ~ spl635_294 ),
inference(resolution,[],[f13244,f12827]) ).
fof(f13293,plain,
( $false
| ~ spl635_28
| spl635_272
| ~ spl635_294 ),
inference(forward_subsumption_resolution,[],[f13279,f12921]) ).
fof(f13294,plain,
( ~ spl635_28
| spl635_272
| ~ spl635_294 ),
inference(avatar_contradiction_clause,[],[f13293]) ).
fof(f13303,plain,
( is_a_convergence_point_of_set(sK231,sK233,sK232)
| ~ topological_space(sK231)
| ~ top_str(sK231)
| ~ spl635_272 ),
inference(resolution,[],[f12920,f5293]) ).
fof(f13310,plain,
( ~ topological_space(sK231)
| ~ top_str(sK231)
| spl635_27
| ~ spl635_272 ),
inference(forward_subsumption_resolution,[],[f13303,f7141]) ).
fof(f13311,plain,
( ~ top_str(sK231)
| spl635_27
| ~ spl635_272 ),
inference(forward_subsumption_resolution,[],[f13310,f3602]) ).
fof(f13312,plain,
( $false
| spl635_27
| ~ spl635_272 ),
inference(forward_subsumption_resolution,[],[f13311,f3601]) ).
fof(f13313,plain,
( spl635_27
| ~ spl635_272 ),
inference(avatar_contradiction_clause,[],[f13312]) ).
cnf(s21,plain,
( spl635_27
| spl635_28 ),
inference(sat_conversion,[],[f7147]) ).
cnf(s22,plain,
( ~ spl635_27
| ~ spl635_28 ),
inference(sat_conversion,[],[f7148]) ).
cnf(s129,plain,
( spl635_28
| spl635_191
| ~ spl635_192 ),
inference(sat_conversion,[],[f11553]) ).
cnf(s131,plain,
( spl635_28
| spl635_192 ),
inference(sat_conversion,[],[f11563]) ).
cnf(s170,plain,
( ~ spl635_191
| ~ spl635_192
| spl635_226 ),
inference(sat_conversion,[],[f12405]) ).
cnf(s180,plain,
spl635_254,
inference(sat_conversion,[],[f12657]) ).
cnf(s182,plain,
( ~ spl635_27
| ~ spl635_192
| spl635_196
| ~ spl635_226 ),
inference(sat_conversion,[],[f12803]) ).
cnf(s183,plain,
( spl635_28
| ~ spl635_196 ),
inference(sat_conversion,[],[f12817]) ).
cnf(s214,plain,
( spl635_27
| ~ spl635_254
| spl635_294 ),
inference(sat_conversion,[],[f13272]) ).
cnf(s217,plain,
( ~ spl635_28
| spl635_272
| ~ spl635_294 ),
inference(sat_conversion,[],[f13294]) ).
cnf(s218,plain,
( spl635_27
| ~ spl635_272 ),
inference(sat_conversion,[],[f13313]) ).
cnf(s225,plain,
spl635_27,
inference(rat,[],[s217,s21,s214,s218,s180]) ).
cnf(s227,plain,
~ spl635_28,
inference(rat,[],[s22,s225]) ).
cnf(s229,plain,
~ spl635_196,
inference(rat,[],[s183,s227]) ).
cnf(s230,plain,
spl635_192,
inference(rat,[],[s131,s227]) ).
cnf(s231,plain,
spl635_191,
inference(rat,[],[s129,s230,s227]) ).
cnf(s234,plain,
~ spl635_226,
inference(rat,[],[s182,s229,s225,s230]) ).
cnf(s235,plain,
$false,
inference(rat,[],[s170,s234,s230,s231]) ).
fof(f13314,plain,
$false,
inference(avatar_sat_refutation,[],[s235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU389+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n020.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 28 05:05:19 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.69/2.56 % (4034682)Detected formulas, will run a generic FOF schedule.
% 11.69/2.56 % (4034690)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=989755799:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.69/2.56 % (4034689)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=3604348214:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.69/2.56 % (4034687)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=1486875898:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.69/2.56 % (4034688)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=1677784073:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.69/2.56 % (4034691)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1612483017:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.69/2.56 % (4034693)dis-21_1_sil=8000:lcm=predicate:random_seed=553479077: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)
% 11.69/2.56 % (4034690)Instruction limit reached!
% 11.69/2.56 % (4034690)------------------------------
% 11.69/2.56 % (4034690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/2.56 % (4034690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/2.56 % (4034690)CaDiCaL version: 2.1.3
% 11.69/2.56 % (4034690)Termination reason: Instruction limit
% 11.69/2.56 % (4034690)Termination phase: Blocked clause elimination
% 11.69/2.56 % (4034690)Time elapsed: 0.035 s
% 11.69/2.56 % (4034690)Peak memory usage: 90 MB
% 11.69/2.56 % (4034690)Instructions burned: 110 (million)
% 11.69/2.56 % (4034692)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=227752566:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.69/2.56 % (4034693)Instruction limit reached!
% 11.69/2.56 % (4034693)------------------------------
% 11.69/2.56 % (4034693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/2.56 % (4034693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/2.56 % (4034693)CaDiCaL version: 2.1.3
% 11.69/2.56 % (4034693)Termination reason: Instruction limit
% 11.69/2.56 % (4034693)Termination phase: Saturation
% 11.69/2.56 % (4034693)Time elapsed: 0.067 s
% 11.69/2.56 % (4034693)Peak memory usage: 91 MB
% 11.69/2.56 % (4034693)Instructions burned: 130 (million)
% 11.69/2.56 % (4034691)Instruction limit reached!
% 11.69/2.56 % (4034691)------------------------------
% 11.69/2.56 % (4034691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/2.56 % (4034691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/2.56 % (4034691)CaDiCaL version: 2.1.3
% 11.69/2.56 % (4034691)Termination reason: Instruction limit
% 11.69/2.56 % (4034691)Termination phase: Saturation
% 11.69/2.56 % (4034691)Time elapsed: 0.071 s
% 11.69/2.56 % (4034691)Peak memory usage: 91 MB
% 11.69/2.56 % (4034691)Instructions burned: 119 (million)
% 11.69/2.56 % (4034692)Instruction limit reached!
% 11.69/2.56 % (4034692)------------------------------
% 11.69/2.56 % (4034692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/2.57 % (4034692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.69/2.57 % (4034692)CaDiCaL version: 2.1.3
% 11.69/2.57 % (4034692)Termination reason: Instruction limit
% 11.69/2.57 % (4034692)Termination phase: Saturation
% 11.69/2.57 % (4034692)Time elapsed: 0.079 s
% 11.69/2.57 % (4034692)Peak memory usage: 92 MB
% 11.69/2.57 % (4034692)Instructions burned: 139 (million)
% 11.69/2.57 % (4034700)lrs+10_1_sil=8000:sp=occurrence:random_seed=2341692632:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.69/2.57 % (4034703)lrs+1011_1_sil=32000:sp=occurrence:random_seed=560935055:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.69/2.57 % (4034702)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2763836587:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.69/2.57 % (4034700)Instruction limit reached!
% 11.69/2.57 % (4034700)------------------------------
% 11.69/2.57 % (4034700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.69/2.57 % (4034700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.04/3.63 % (4034700)CaDiCaL version: 2.1.3
% 19.04/3.63 % (4034700)Termination reason: Instruction limit
% 19.04/3.63 % (4034700)Termination phase: Saturation
% 19.04/3.63 % (4034700)Time elapsed: 0.094 s
% 19.04/3.63 % (4034700)Peak memory usage: 95 MB
% 19.04/3.63 % (4034700)Instructions burned: 285 (million)
% 19.04/3.63 % (4034704)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=529215892:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 19.04/3.63 % (4034702)Instruction limit reached!
% 19.04/3.63 % (4034702)------------------------------
% 19.04/3.63 % (4034702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.04/3.63 % (4034702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.04/3.63 % (4034702)CaDiCaL version: 2.1.3
% 19.04/3.63 % (4034702)Termination reason: Instruction limit
% 19.04/3.63 % (4034702)Termination phase: Saturation
% 19.04/3.63 % (4034702)Time elapsed: 0.091 s
% 19.04/3.63 % (4034702)Peak memory usage: 91 MB
% 19.04/3.63 % (4034702)Instructions burned: 159 (million)
% 19.04/3.63 % (4034708)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=488132750:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 19.04/3.63 % (4034704)Instruction limit reached!
% 19.04/3.63 % (4034704)------------------------------
% 19.04/3.63 % (4034704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.04/3.63 % (4034704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.04/3.63 % (4034704)CaDiCaL version: 2.1.3
% 19.04/3.63 % (4034704)Termination reason: Instruction limit
% 19.04/3.63 % (4034704)Termination phase: Saturation
% 19.04/3.63 % (4034704)Time elapsed: 0.153 s
% 19.04/3.63 % (4034704)Peak memory usage: 94 MB
% 19.04/3.63 % (4034704)Instructions burned: 248 (million)
% 19.04/3.63 % (4034703)Instruction limit reached!
% 19.04/3.63 % (4034703)------------------------------
% 19.04/3.63 % (4034703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.04/3.63 % (4034703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.04/3.63 % (4034703)CaDiCaL version: 2.1.3
% 19.04/3.63 % (4034703)Termination reason: Instruction limit
% 19.04/3.63 % (4034703)Termination phase: Saturation
% 19.04/3.63 % (4034703)Time elapsed: 0.210 s
% 19.04/3.63 % (4034703)Peak memory usage: 95 MB
% 19.04/3.63 % (4034703)Instructions burned: 325 (million)
% 19.04/3.63 % (4034708)Instruction limit reached!
% 19.04/3.63 % (4034708)------------------------------
% 19.04/3.63 % (4034708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.04/3.63 % (4034708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.04/3.63 % (4034708)CaDiCaL version: 2.1.3
% 19.04/3.63 % (4034708)Termination reason: Instruction limit
% 19.04/3.63 % (4034708)Termination phase: Saturation
% 19.04/3.63 % (4034708)Time elapsed: 0.092 s
% 19.04/3.63 % (4034708)Peak memory usage: 94 MB
% 19.04/3.63 % (4034708)Instructions burned: 295 (million)
% 19.04/3.63 % (4034710)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=332506014:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 19.04/3.63 % (4034714)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1151836574:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 19.04/3.63 % (4034712)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2660676444:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 19.04/3.63 % (4034713)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2726149798:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 19.04/3.63 % (4034714)Instruction limit reached!
% 19.04/3.63 % (4034714)------------------------------
% 19.04/3.63 % (4034714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.04/3.63 % (4034714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.04/3.63 % (4034714)CaDiCaL version: 2.1.3
% 19.04/3.63 % (4034714)Termination reason: Instruction limit
% 19.04/3.63 % (4034714)Termination phase: Saturation
% 19.04/3.63 % (4034714)Time elapsed: 0.038 s
% 19.04/3.63 % (4034714)Peak memory usage: 90 MB
% 19.04/3.63 % (4034714)Instructions burned: 116 (million)
% 19.04/3.63 % (4034712)Instruction limit reached!
% 19.04/3.63 % (4034712)------------------------------
% 19.04/3.63 % (4034712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.04/3.63 % (4034712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.79 % (4034712)CaDiCaL version: 2.1.3
% 27.39/4.79 % (4034712)Termination reason: Instruction limit
% 27.39/4.79 % (4034712)Termination phase: Saturation
% 27.39/4.79 % (4034712)Time elapsed: 0.063 s
% 27.39/4.79 % (4034712)Peak memory usage: 92 MB
% 27.39/4.79 % (4034712)Instructions burned: 113 (million)
% 27.39/4.79 % (4034713)Instruction limit reached!
% 27.39/4.79 % (4034713)------------------------------
% 27.39/4.79 % (4034713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.39/4.79 % (4034713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.79 % (4034713)CaDiCaL version: 2.1.3
% 27.39/4.79 % (4034713)Termination reason: Instruction limit
% 27.39/4.79 % (4034713)Termination phase: Blocked clause elimination
% 27.39/4.79 % (4034713)Time elapsed: 0.074 s
% 27.39/4.79 % (4034713)Peak memory usage: 91 MB
% 27.39/4.79 % (4034713)Instructions burned: 129 (million)
% 27.39/4.79 % (4034719)lrs+10_1_sil=8000:sp=occurrence:random_seed=2471671243:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 27.39/4.79 % (4034720)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1801666010:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 27.39/4.79 % (4034721)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=392432620:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 27.39/4.79 % (4034719)Instruction limit reached!
% 27.39/4.79 % (4034719)------------------------------
% 27.39/4.79 % (4034719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.39/4.79 % (4034719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.79 % (4034719)CaDiCaL version: 2.1.3
% 27.39/4.79 % (4034719)Termination reason: Instruction limit
% 27.39/4.79 % (4034719)Termination phase: Saturation
% 27.39/4.79 % (4034719)Time elapsed: 0.312 s
% 27.39/4.79 % (4034719)Peak memory usage: 105 MB
% 27.39/4.79 % (4034719)Instructions burned: 908 (million)
% 27.39/4.79 % (4034720)Instruction limit reached!
% 27.39/4.79 % (4034720)------------------------------
% 27.39/4.79 % (4034720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.39/4.79 % (4034720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.79 % (4034720)CaDiCaL version: 2.1.3
% 27.39/4.79 % (4034720)Termination reason: Instruction limit
% 27.39/4.79 % (4034720)Termination phase: Saturation
% 27.39/4.79 % (4034720)Time elapsed: 0.263 s
% 27.39/4.79 % (4034720)Peak memory usage: 97 MB
% 27.39/4.79 % (4034720)Instructions burned: 437 (million)
% 27.39/4.79 % (4034726)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3672337314:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 27.39/4.79 % (4034725)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2379309116:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 27.39/4.79 % (4034725)Instruction limit reached!
% 27.39/4.79 % (4034725)------------------------------
% 27.39/4.79 % (4034725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.39/4.79 % (4034725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.79 % (4034725)CaDiCaL version: 2.1.3
% 27.39/4.79 % (4034725)Termination reason: Instruction limit
% 27.39/4.79 % (4034725)Termination phase: Property scanning
% 27.39/4.79 % (4034725)Time elapsed: 0.067 s
% 27.39/4.79 % (4034725)Peak memory usage: 90 MB
% 27.39/4.79 % (4034725)Instructions burned: 136 (million)
% 27.39/4.79 % (4034726)Instruction limit reached!
% 27.39/4.79 % (4034726)------------------------------
% 27.39/4.79 % (4034726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.39/4.79 % (4034726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.79 % (4034726)CaDiCaL version: 2.1.3
% 27.39/4.79 % (4034726)Termination reason: Instruction limit
% 27.39/4.79 % (4034726)Termination phase: Saturation
% 27.39/4.79 % (4034726)Time elapsed: 0.188 s
% 27.39/4.79 % (4034726)Peak memory usage: 100 MB
% 27.39/4.79 % (4034726)Instructions burned: 594 (million)
% 27.39/4.79 % (4034729)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1741370442:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 27.39/4.79 % (4034730)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=4257258426:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 27.39/4.79 % (4034730)Instruction limit reached!
% 27.39/4.79 % (4034730)------------------------------
% 27.39/4.79 % (4034730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.39/4.79 % (4034730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.79 % (4034730)CaDiCaL version: 2.1.3
% 27.39/4.79 % (4034730)Termination reason: Instruction limit
% 27.39/4.79 % (4034730)Termination phase: Saturation
% 27.39/4.79 % (4034730)Time elapsed: 0.068 s
% 27.39/4.79 % (4034730)Peak memory usage: 92 MB
% 27.39/4.79 % (4034730)Instructions burned: 126 (million)
% 27.39/4.79 % (4034733)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1922973744:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 27.39/4.79 % (4034733)Instruction limit reached!
% 27.39/4.79 % (4034733)------------------------------
% 27.39/4.79 % (4034733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.39/4.79 % (4034733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.79 % (4034733)CaDiCaL version: 2.1.3
% 27.39/4.79 % (4034733)Termination reason: Instruction limit
% 27.39/4.79 % (4034733)Termination phase: Saturation
% 27.39/4.79 % (4034733)Time elapsed: 0.068 s
% 27.39/4.79 % (4034733)Peak memory usage: 92 MB
% 27.39/4.79 % (4034733)Instructions burned: 134 (million)
% 27.39/4.79 % (4034710)Instruction limit reached!
% 27.39/4.79 % (4034710)------------------------------
% 27.39/4.79 % (4034710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.39/4.79 % (4034710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.79 % (4034710)CaDiCaL version: 2.1.3
% 27.39/4.79 % (4034710)Termination reason: Instruction limit
% 27.39/4.79 % (4034710)Termination phase: Saturation
% 27.39/4.79 % (4034710)Time elapsed: 1.460 s
% 27.39/4.79 % (4034710)Peak memory usage: 163 MB
% 27.39/4.79 % (4034710)Instructions burned: 2351 (million)
% 27.39/4.79 % (4034735)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1594546195:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 27.39/4.79 % (4034735)Instruction limit reached!
% 27.39/4.79 % (4034735)------------------------------
% 27.39/4.79 % (4034735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.39/4.79 % (4034735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.79 % (4034735)CaDiCaL version: 2.1.3
% 27.39/4.79 % (4034735)Termination reason: Instruction limit
% 27.39/4.79 % (4034735)Termination phase: Saturation
% 27.39/4.79 % (4034735)Time elapsed: 0.073 s
% 27.39/4.79 % (4034735)Peak memory usage: 92 MB
% 27.39/4.79 % (4034735)Instructions burned: 141 (million)
% 27.39/4.79 % (4034736)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=126548057:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 27.39/4.79 % (4034738)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=31874977:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 27.39/4.79 % (4034736)Instruction limit reached!
% 27.39/4.79 % (4034736)------------------------------
% 27.39/4.79 % (4034736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.39/4.79 % (4034736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.79 % (4034736)CaDiCaL version: 2.1.3
% 27.39/4.79 % (4034736)Termination reason: Instruction limit
% 27.39/4.79 % (4034736)Termination phase: Saturation
% 27.39/4.79 % (4034736)Time elapsed: 0.251 s
% 27.39/4.79 % (4034736)Peak memory usage: 96 MB
% 27.39/4.79 % (4034736)Instructions burned: 432 (million)
% 27.39/4.79 % (4034741)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=169798308:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 27.39/4.79 % (4034741)Instruction limit reached!
% 27.39/4.79 % (4034741)------------------------------
% 27.39/4.79 % (4034741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.39/4.79 % (4034741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.79 % (4034741)CaDiCaL version: 2.1.3
% 27.39/4.79 % (4034741)Termination reason: Instruction limit
% 27.39/4.79 % (4034741)Termination phase: Saturation
% 27.39/4.79 % (4034741)Time elapsed: 0.078 s
% 27.39/4.79 % (4034741)Peak memory usage: 93 MB
% 27.39/4.79 % (4034741)Instructions burned: 150 (million)
% 27.39/4.79 % (4034743)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=202429305:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 27.39/4.79 % (4034721)Instruction limit reached!
% 27.39/4.79 % (4034721)------------------------------
% 27.39/4.79 % (4034721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.39/4.79 % (4034721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.79 % (4034721)CaDiCaL version: 2.1.3
% 27.39/4.79 % (4034721)Termination reason: Instruction limit
% 27.39/4.79 % (4034721)Termination phase: Saturation
% 27.39/4.79 % (4034721)Time elapsed: 1.998 s
% 27.39/4.79 % (4034721)Peak memory usage: 170 MB
% 27.39/4.79 % (4034721)Instructions burned: 5204 (million)
% 27.39/4.79 % (4034745)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1932485882:i=667:av=off:fsr=off_2969 on theBenchmark for (2969ds/667Mi)
% 27.39/4.79 % (4034745)Instruction limit reached!
% 27.39/4.79 % (4034745)------------------------------
% 27.39/4.79 % (4034745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.39/4.79 % (4034745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.79 % (4034745)CaDiCaL version: 2.1.3
% 27.39/4.79 % (4034745)Termination reason: Instruction limit
% 27.39/4.79 % (4034745)Termination phase: Saturation
% 27.39/4.79 % (4034745)Time elapsed: 0.163 s
% 27.39/4.79 % (4034745)Peak memory usage: 95 MB
% 27.39/4.79 % (4034745)Instructions burned: 669 (million)
% 27.39/4.79 % (4034747)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=2034043140:s2a=on:i=185:s2at=1.8:fdi=4_2966 on theBenchmark for (2966ds/185Mi)
% 27.39/4.79 % (4034747)Instruction limit reached!
% 27.39/4.79 % (4034747)------------------------------
% 27.39/4.79 % (4034747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.39/4.79 % (4034747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.79 % (4034747)CaDiCaL version: 2.1.3
% 27.39/4.79 % (4034747)Termination reason: Instruction limit
% 27.39/4.79 % (4034747)Termination phase: Saturation
% 27.39/4.79 % (4034747)Time elapsed: 0.053 s
% 27.39/4.79 % (4034747)Peak memory usage: 93 MB
% 27.39/4.79 % (4034747)Instructions burned: 189 (million)
% 27.39/4.79 % (4034749)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1954254800:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2964 on theBenchmark for (2964ds/193Mi)
% 27.39/4.79 % (4034729)First to succeed.
% 27.39/4.79 % (4034729)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4034682"
% 27.39/4.79 % (4034749)Instruction limit reached!
% 27.39/4.79 % (4034749)------------------------------
% 27.39/4.79 % (4034749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.39/4.79 % (4034749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.39/4.79 % (4034749)CaDiCaL version: 2.1.3
% 27.39/4.79 % (4034749)Termination reason: Instruction limit
% 27.39/4.79 % (4034749)Termination phase: Saturation
% 27.39/4.79 % (4034749)Time elapsed: 0.061 s
% 27.39/4.79 % (4034749)Peak memory usage: 96 MB
% 27.39/4.79 % (4034749)Instructions burned: 194 (million)
% 27.39/4.79 % (4034751)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3038994353:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2962 on theBenchmark for (2962ds/4850Mi)
% 27.39/4.79 % (4034729)Refutation found. Thanks to Tanya!
% 27.39/4.79 % SZS status Theorem for theBenchmark
% 27.39/4.79 % SZS output start Proof for theBenchmark
% See solution above
% 28.26/4.99 % (4034729)------------------------------
% 28.26/4.99 % (4034729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.26/4.99 % (4034729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.26/4.99 % (4034729)CaDiCaL version: 2.1.3
% 28.26/4.99 % (4034729)Termination reason: Refutation
% 28.26/4.99 % (4034729)Time elapsed: 2.033 s
% 28.26/4.99 % (4034729)Peak memory usage: 165 MB
% 28.26/4.99 % (4034729)Instructions burned: 3180 (million)
% 28.26/4.99 % (4034729)------------------------------
% 28.26/4.99 % (4034729)------------------------------
% 28.26/4.99 % (4034682)Success in time 3.955 s
% 28.26/4.99 % Vampire exiting
%------------------------------------------------------------------------------