TSTP Solution File: SEU389+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SEU389+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 17:06:49 EDT 2023
% Result : Theorem 47.15s 7.26s
% Output : CNFRefutation 47.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 26
% Syntax : Number of formulae : 301 ( 32 unt; 0 def)
% Number of atoms : 1220 ( 65 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 1568 ( 649 ~; 709 |; 147 &)
% ( 20 <=>; 41 =>; 0 <=; 2 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-3 aty)
% Number of variables : 583 ( 1 sgn; 254 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(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/sandbox2/benchmark/theBenchmark.p',d1_connsp_2) ).
fof(f28,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_yellow19) ).
fof(f29,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f30,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1,X2] :
( is_a_convergence_point_of_set(X0,X1,X2)
<=> ! [X3] :
( element(X3,powerset(the_carrier(X0)))
=> ( ( in(X2,X3)
& open_subset(X3,X0) )
=> in(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_waybel_7) ).
fof(f32,axiom,
! [X0,X1] :
( ( element(X1,powerset(the_carrier(X0)))
& top_str(X0) )
=> element(interior(X0,X1),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_tops_1) ).
fof(f40,axiom,
! [X0] :
( top_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f42,axiom,
! [X0,X1] :
( ( element(X1,the_carrier(X0))
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X2] :
( point_neighbourhood(X2,X0,X1)
=> element(X2,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_connsp_2) ).
fof(f60,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f73,axiom,
! [X0,X1] :
( ( element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) )
=> open_subset(interior(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_tops_1) ).
fof(f79,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X1))
& top_str(X1)
& topological_space(X1)
& ~ empty_carrier(X1) )
=> ( in(X0,a_2_0_yellow19(X1,X2))
<=> ? [X3] :
( X0 = X3
& point_neighbourhood(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_yellow19) ).
fof(f118,axiom,
! [X0,X1] :
( element(X1,powerset(the_carrier(boole_POSet(X0))))
=> ( upper_relstr_subset(X1,boole_POSet(X0))
<=> ! [X2,X3] :
( ( in(X2,X1)
& subset(X3,X0)
& subset(X2,X3) )
=> in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_waybel_7) ).
fof(f119,axiom,
! [X0] :
( one_sorted_str(X0)
=> the_carrier(X0) = cast_as_carrier_subset(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(f120,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f121,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f123,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f124,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(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(f125,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> subset(interior(X0,X1),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_tops_1) ).
fof(f127,conjecture,
! [X0] :
( ( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X2,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/sandbox2/benchmark/theBenchmark.p',t4_yellow19) ).
fof(f128,negated_conjecture,
~ ! [X0] :
( ( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( ( element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X2,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,[],[f127]) ).
fof(f129,axiom,
! [X0] :
( ( top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( in(X2,X1)
& open_subset(X1,X0) )
=> point_neighbourhood(X1,X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_connsp_2) ).
fof(f251,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)) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f252,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)) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f251]) ).
fof(f253,plain,
! [X0] :
( ! [X1] :
( neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1)
| ~ element(X1,the_carrier(X0)) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f254,plain,
! [X0] :
( ! [X1] :
( neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1)
| ~ element(X1,the_carrier(X0)) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f253]) ).
fof(f255,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f256,plain,
! [X0] :
( ! [X1,X2] :
( is_a_convergence_point_of_set(X0,X1,X2)
<=> ! [X3] :
( in(X3,X1)
| ~ in(X2,X3)
| ~ open_subset(X3,X0)
| ~ element(X3,powerset(the_carrier(X0))) ) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f257,plain,
! [X0] :
( ! [X1,X2] :
( is_a_convergence_point_of_set(X0,X1,X2)
<=> ! [X3] :
( in(X3,X1)
| ~ in(X2,X3)
| ~ open_subset(X3,X0)
| ~ element(X3,powerset(the_carrier(X0))) ) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f256]) ).
fof(f259,plain,
! [X0,X1] :
( element(interior(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f260,plain,
! [X0,X1] :
( element(interior(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(flattening,[],[f259]) ).
fof(f265,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f266,plain,
! [X0,X1] :
( ! [X2] :
( element(X2,powerset(the_carrier(X0)))
| ~ point_neighbourhood(X2,X0,X1) )
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f267,plain,
! [X0,X1] :
( ! [X2] :
( element(X2,powerset(the_carrier(X0)))
| ~ point_neighbourhood(X2,X0,X1) )
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f266]) ).
fof(f299,plain,
! [X0,X1] :
( open_subset(interior(X0,X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f300,plain,
! [X0,X1] :
( open_subset(interior(X0,X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f299]) ).
fof(f303,plain,
! [X0,X1,X2] :
( ( in(X0,a_2_0_yellow19(X1,X2))
<=> ? [X3] :
( X0 = X3
& point_neighbourhood(X3,X1,X2) ) )
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1) ),
inference(ennf_transformation,[],[f79]) ).
fof(f304,plain,
! [X0,X1,X2] :
( ( in(X0,a_2_0_yellow19(X1,X2))
<=> ? [X3] :
( X0 = X3
& point_neighbourhood(X3,X1,X2) ) )
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1) ),
inference(flattening,[],[f303]) ).
fof(f339,plain,
! [X0,X1] :
( ( upper_relstr_subset(X1,boole_POSet(X0))
<=> ! [X2,X3] :
( in(X3,X1)
| ~ in(X2,X1)
| ~ subset(X3,X0)
| ~ subset(X2,X3) ) )
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(ennf_transformation,[],[f118]) ).
fof(f340,plain,
! [X0,X1] :
( ( upper_relstr_subset(X1,boole_POSet(X0))
<=> ! [X2,X3] :
( in(X3,X1)
| ~ in(X2,X1)
| ~ subset(X3,X0)
| ~ subset(X2,X3) ) )
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(flattening,[],[f339]) ).
fof(f341,plain,
! [X0] :
( the_carrier(X0) = cast_as_carrier_subset(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f119]) ).
fof(f342,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f120]) ).
fof(f343,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f121]) ).
fof(f344,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f343]) ).
fof(f346,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,neighborhood_system(X0,X1))
<=> point_neighbourhood(X2,X0,X1) )
| ~ element(X1,the_carrier(X0)) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f124]) ).
fof(f347,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,neighborhood_system(X0,X1))
<=> point_neighbourhood(X2,X0,X1) )
| ~ element(X1,the_carrier(X0)) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f346]) ).
fof(f348,plain,
! [X0] :
( ! [X1] :
( subset(interior(X0,X1),X1)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f125]) ).
fof(f351,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( is_a_convergence_point_of_set(X0,X2,X1)
<~> subset(neighborhood_system(X0,X1),X2) )
& element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X0))) )
& element(X1,the_carrier(X0)) )
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f128]) ).
fof(f352,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( is_a_convergence_point_of_set(X0,X2,X1)
<~> subset(neighborhood_system(X0,X1),X2) )
& element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X0))) )
& element(X1,the_carrier(X0)) )
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f351]) ).
fof(f353,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( point_neighbourhood(X1,X0,X2)
| ~ in(X2,X1)
| ~ open_subset(X1,X0)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f129]) ).
fof(f354,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( point_neighbourhood(X1,X0,X2)
| ~ in(X2,X1)
| ~ open_subset(X1,X0)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f353]) ).
fof(f364,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)) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f252]) ).
fof(f365,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,[],[f255]) ).
fof(f366,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,[],[f365]) ).
fof(f367,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK2(X0,X1),X1)
& in(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f368,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK2(X0,X1),X1)
& in(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f366,f367]) ).
fof(f369,plain,
! [X0] :
( ! [X1,X2] :
( ( is_a_convergence_point_of_set(X0,X1,X2)
| ? [X3] :
( ~ in(X3,X1)
& in(X2,X3)
& open_subset(X3,X0)
& element(X3,powerset(the_carrier(X0))) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X2,X3)
| ~ open_subset(X3,X0)
| ~ element(X3,powerset(the_carrier(X0))) )
| ~ is_a_convergence_point_of_set(X0,X1,X2) ) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(nnf_transformation,[],[f257]) ).
fof(f370,plain,
! [X0] :
( ! [X1,X2] :
( ( is_a_convergence_point_of_set(X0,X1,X2)
| ? [X3] :
( ~ in(X3,X1)
& in(X2,X3)
& open_subset(X3,X0)
& element(X3,powerset(the_carrier(X0))) ) )
& ( ! [X4] :
( in(X4,X1)
| ~ in(X2,X4)
| ~ open_subset(X4,X0)
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ is_a_convergence_point_of_set(X0,X1,X2) ) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(rectify,[],[f369]) ).
fof(f371,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ in(X3,X1)
& in(X2,X3)
& open_subset(X3,X0)
& element(X3,powerset(the_carrier(X0))) )
=> ( ~ in(sK3(X0,X1,X2),X1)
& in(X2,sK3(X0,X1,X2))
& open_subset(sK3(X0,X1,X2),X0)
& element(sK3(X0,X1,X2),powerset(the_carrier(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f372,plain,
! [X0] :
( ! [X1,X2] :
( ( is_a_convergence_point_of_set(X0,X1,X2)
| ( ~ in(sK3(X0,X1,X2),X1)
& in(X2,sK3(X0,X1,X2))
& open_subset(sK3(X0,X1,X2),X0)
& element(sK3(X0,X1,X2),powerset(the_carrier(X0))) ) )
& ( ! [X4] :
( in(X4,X1)
| ~ in(X2,X4)
| ~ open_subset(X4,X0)
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ is_a_convergence_point_of_set(X0,X1,X2) ) )
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f370,f371]) ).
fof(f388,plain,
! [X0,X1,X2] :
( ( ( in(X0,a_2_0_yellow19(X1,X2))
| ! [X3] :
( X0 != X3
| ~ point_neighbourhood(X3,X1,X2) ) )
& ( ? [X3] :
( X0 = X3
& point_neighbourhood(X3,X1,X2) )
| ~ in(X0,a_2_0_yellow19(X1,X2)) ) )
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1) ),
inference(nnf_transformation,[],[f304]) ).
fof(f389,plain,
! [X0,X1,X2] :
( ( ( in(X0,a_2_0_yellow19(X1,X2))
| ! [X3] :
( X0 != X3
| ~ point_neighbourhood(X3,X1,X2) ) )
& ( ? [X4] :
( X0 = X4
& point_neighbourhood(X4,X1,X2) )
| ~ in(X0,a_2_0_yellow19(X1,X2)) ) )
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1) ),
inference(rectify,[],[f388]) ).
fof(f390,plain,
! [X0,X1,X2] :
( ? [X4] :
( X0 = X4
& point_neighbourhood(X4,X1,X2) )
=> ( sK11(X0,X1,X2) = X0
& point_neighbourhood(sK11(X0,X1,X2),X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f391,plain,
! [X0,X1,X2] :
( ( ( in(X0,a_2_0_yellow19(X1,X2))
| ! [X3] :
( X0 != X3
| ~ point_neighbourhood(X3,X1,X2) ) )
& ( ( sK11(X0,X1,X2) = X0
& point_neighbourhood(sK11(X0,X1,X2),X1,X2) )
| ~ in(X0,a_2_0_yellow19(X1,X2)) ) )
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f389,f390]) ).
fof(f461,plain,
! [X0,X1] :
( ( ( upper_relstr_subset(X1,boole_POSet(X0))
| ? [X2,X3] :
( ~ in(X3,X1)
& in(X2,X1)
& subset(X3,X0)
& subset(X2,X3) ) )
& ( ! [X2,X3] :
( in(X3,X1)
| ~ in(X2,X1)
| ~ subset(X3,X0)
| ~ subset(X2,X3) )
| ~ upper_relstr_subset(X1,boole_POSet(X0)) ) )
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(nnf_transformation,[],[f340]) ).
fof(f462,plain,
! [X0,X1] :
( ( ( upper_relstr_subset(X1,boole_POSet(X0))
| ? [X2,X3] :
( ~ in(X3,X1)
& in(X2,X1)
& subset(X3,X0)
& subset(X2,X3) ) )
& ( ! [X4,X5] :
( in(X5,X1)
| ~ in(X4,X1)
| ~ subset(X5,X0)
| ~ subset(X4,X5) )
| ~ upper_relstr_subset(X1,boole_POSet(X0)) ) )
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(rectify,[],[f461]) ).
fof(f463,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ in(X3,X1)
& in(X2,X1)
& subset(X3,X0)
& subset(X2,X3) )
=> ( ~ in(sK47(X0,X1),X1)
& in(sK46(X0,X1),X1)
& subset(sK47(X0,X1),X0)
& subset(sK46(X0,X1),sK47(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f464,plain,
! [X0,X1] :
( ( ( upper_relstr_subset(X1,boole_POSet(X0))
| ( ~ in(sK47(X0,X1),X1)
& in(sK46(X0,X1),X1)
& subset(sK47(X0,X1),X0)
& subset(sK46(X0,X1),sK47(X0,X1)) ) )
& ( ! [X4,X5] :
( in(X5,X1)
| ~ in(X4,X1)
| ~ subset(X5,X0)
| ~ subset(X4,X5) )
| ~ upper_relstr_subset(X1,boole_POSet(X0)) ) )
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46,sK47])],[f462,f463]) ).
fof(f468,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f123]) ).
fof(f469,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)) )
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f347]) ).
fof(f470,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) )
& element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X0))) )
& element(X1,the_carrier(X0)) )
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) ),
inference(nnf_transformation,[],[f352]) ).
fof(f471,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) )
& element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X0))) )
& element(X1,the_carrier(X0)) )
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f470]) ).
fof(f472,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) )
& element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(X0))) )
& element(X1,the_carrier(X0)) )
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ( ? [X1] :
( ? [X2] :
( ( ~ subset(neighborhood_system(sK49,X1),X2)
| ~ is_a_convergence_point_of_set(sK49,X2,X1) )
& ( subset(neighborhood_system(sK49,X1),X2)
| is_a_convergence_point_of_set(sK49,X2,X1) )
& element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK49)))))
& upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(sK49))) )
& element(X1,the_carrier(sK49)) )
& top_str(sK49)
& topological_space(sK49)
& ~ empty_carrier(sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f473,plain,
( ? [X1] :
( ? [X2] :
( ( ~ subset(neighborhood_system(sK49,X1),X2)
| ~ is_a_convergence_point_of_set(sK49,X2,X1) )
& ( subset(neighborhood_system(sK49,X1),X2)
| is_a_convergence_point_of_set(sK49,X2,X1) )
& element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK49)))))
& upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(sK49))) )
& element(X1,the_carrier(sK49)) )
=> ( ? [X2] :
( ( ~ subset(neighborhood_system(sK49,sK50),X2)
| ~ is_a_convergence_point_of_set(sK49,X2,sK50) )
& ( subset(neighborhood_system(sK49,sK50),X2)
| is_a_convergence_point_of_set(sK49,X2,sK50) )
& element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK49)))))
& upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(sK49))) )
& element(sK50,the_carrier(sK49)) ) ),
introduced(choice_axiom,[]) ).
fof(f474,plain,
( ? [X2] :
( ( ~ subset(neighborhood_system(sK49,sK50),X2)
| ~ is_a_convergence_point_of_set(sK49,X2,sK50) )
& ( subset(neighborhood_system(sK49,sK50),X2)
| is_a_convergence_point_of_set(sK49,X2,sK50) )
& element(X2,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK49)))))
& upper_relstr_subset(X2,boole_POSet(cast_as_carrier_subset(sK49))) )
=> ( ( ~ subset(neighborhood_system(sK49,sK50),sK51)
| ~ is_a_convergence_point_of_set(sK49,sK51,sK50) )
& ( subset(neighborhood_system(sK49,sK50),sK51)
| is_a_convergence_point_of_set(sK49,sK51,sK50) )
& element(sK51,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK49)))))
& upper_relstr_subset(sK51,boole_POSet(cast_as_carrier_subset(sK49))) ) ),
introduced(choice_axiom,[]) ).
fof(f475,plain,
( ( ~ subset(neighborhood_system(sK49,sK50),sK51)
| ~ is_a_convergence_point_of_set(sK49,sK51,sK50) )
& ( subset(neighborhood_system(sK49,sK50),sK51)
| is_a_convergence_point_of_set(sK49,sK51,sK50) )
& element(sK51,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK49)))))
& upper_relstr_subset(sK51,boole_POSet(cast_as_carrier_subset(sK49)))
& element(sK50,the_carrier(sK49))
& top_str(sK49)
& topological_space(sK49)
& ~ empty_carrier(sK49) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50,sK51])],[f471,f474,f473,f472]) ).
fof(f540,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))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f542,plain,
! [X0,X1] :
( neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f254]) ).
fof(f543,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f368]) ).
fof(f544,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f545,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f368]) ).
fof(f546,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X2,X4)
| ~ open_subset(X4,X0)
| ~ element(X4,powerset(the_carrier(X0)))
| ~ is_a_convergence_point_of_set(X0,X1,X2)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f547,plain,
! [X2,X0,X1] :
( is_a_convergence_point_of_set(X0,X1,X2)
| element(sK3(X0,X1,X2),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f548,plain,
! [X2,X0,X1] :
( is_a_convergence_point_of_set(X0,X1,X2)
| open_subset(sK3(X0,X1,X2),X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f549,plain,
! [X2,X0,X1] :
( is_a_convergence_point_of_set(X0,X1,X2)
| in(X2,sK3(X0,X1,X2))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f550,plain,
! [X2,X0,X1] :
( is_a_convergence_point_of_set(X0,X1,X2)
| ~ in(sK3(X0,X1,X2),X1)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f553,plain,
! [X0,X1] :
( element(interior(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f559,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f560,plain,
! [X2,X0,X1] :
( element(X2,powerset(the_carrier(X0)))
| ~ point_neighbourhood(X2,X0,X1)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f577,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f60]) ).
fof(f617,plain,
! [X0,X1] :
( open_subset(interior(X0,X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f649,plain,
! [X2,X0,X1] :
( point_neighbourhood(sK11(X0,X1,X2),X1,X2)
| ~ in(X0,a_2_0_yellow19(X1,X2))
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f391]) ).
fof(f650,plain,
! [X2,X0,X1] :
( sK11(X0,X1,X2) = X0
| ~ in(X0,a_2_0_yellow19(X1,X2))
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f391]) ).
fof(f651,plain,
! [X2,X3,X0,X1] :
( in(X0,a_2_0_yellow19(X1,X2))
| X0 != X3
| ~ point_neighbourhood(X3,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f391]) ).
fof(f796,plain,
! [X0,X1,X4,X5] :
( in(X5,X1)
| ~ in(X4,X1)
| ~ subset(X5,X0)
| ~ subset(X4,X5)
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(cnf_transformation,[],[f464]) ).
fof(f801,plain,
! [X0] :
( the_carrier(X0) = cast_as_carrier_subset(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f802,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f342]) ).
fof(f803,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f344]) ).
fof(f806,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f468]) ).
fof(f807,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f468]) ).
fof(f808,plain,
! [X2,X0,X1] :
( point_neighbourhood(X2,X0,X1)
| ~ in(X2,neighborhood_system(X0,X1))
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f469]) ).
fof(f810,plain,
! [X0,X1] :
( subset(interior(X0,X1),X1)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f812,plain,
~ empty_carrier(sK49),
inference(cnf_transformation,[],[f475]) ).
fof(f813,plain,
topological_space(sK49),
inference(cnf_transformation,[],[f475]) ).
fof(f814,plain,
top_str(sK49),
inference(cnf_transformation,[],[f475]) ).
fof(f815,plain,
element(sK50,the_carrier(sK49)),
inference(cnf_transformation,[],[f475]) ).
fof(f816,plain,
upper_relstr_subset(sK51,boole_POSet(cast_as_carrier_subset(sK49))),
inference(cnf_transformation,[],[f475]) ).
fof(f817,plain,
element(sK51,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK49))))),
inference(cnf_transformation,[],[f475]) ).
fof(f818,plain,
( subset(neighborhood_system(sK49,sK50),sK51)
| is_a_convergence_point_of_set(sK49,sK51,sK50) ),
inference(cnf_transformation,[],[f475]) ).
fof(f819,plain,
( ~ subset(neighborhood_system(sK49,sK50),sK51)
| ~ is_a_convergence_point_of_set(sK49,sK51,sK50) ),
inference(cnf_transformation,[],[f475]) ).
fof(f820,plain,
! [X2,X0,X1] :
( point_neighbourhood(X1,X0,X2)
| ~ in(X2,X1)
| ~ open_subset(X1,X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f354]) ).
fof(f825,plain,
! [X2,X3,X1] :
( in(X3,a_2_0_yellow19(X1,X2))
| ~ point_neighbourhood(X3,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| empty_carrier(X1) ),
inference(equality_resolution,[],[f651]) ).
cnf(c_92,plain,
( ~ element(X0,powerset(the_carrier(X1)))
| ~ point_neighbourhood(X0,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| in(X2,interior(X1,X0))
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f540]) ).
cnf(c_93,plain,
( ~ element(X0,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| neighborhood_system(X1,X0) = a_2_0_yellow19(X1,X0)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f542]) ).
cnf(c_94,plain,
( ~ in(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f545]) ).
cnf(c_95,plain,
( in(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f544]) ).
cnf(c_96,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| in(X0,X2) ),
inference(cnf_transformation,[],[f543]) ).
cnf(c_97,plain,
( ~ in(sK3(X0,X1,X2),X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| is_a_convergence_point_of_set(X0,X1,X2) ),
inference(cnf_transformation,[],[f550]) ).
cnf(c_98,plain,
( ~ top_str(X0)
| ~ topological_space(X0)
| in(X1,sK3(X0,X2,X1))
| is_a_convergence_point_of_set(X0,X2,X1) ),
inference(cnf_transformation,[],[f549]) ).
cnf(c_99,plain,
( ~ top_str(X0)
| ~ topological_space(X0)
| open_subset(sK3(X0,X1,X2),X0)
| is_a_convergence_point_of_set(X0,X1,X2) ),
inference(cnf_transformation,[],[f548]) ).
cnf(c_100,plain,
( ~ top_str(X0)
| ~ topological_space(X0)
| element(sK3(X0,X1,X2),powerset(the_carrier(X0)))
| is_a_convergence_point_of_set(X0,X1,X2) ),
inference(cnf_transformation,[],[f547]) ).
cnf(c_101,plain,
( ~ element(X0,powerset(the_carrier(X1)))
| ~ is_a_convergence_point_of_set(X1,X2,X3)
| ~ in(X3,X0)
| ~ open_subset(X0,X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| in(X0,X2) ),
inference(cnf_transformation,[],[f546]) ).
cnf(c_104,plain,
( ~ element(X0,powerset(the_carrier(X1)))
| ~ top_str(X1)
| element(interior(X1,X0),powerset(the_carrier(X1))) ),
inference(cnf_transformation,[],[f553]) ).
cnf(c_110,plain,
( ~ top_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f559]) ).
cnf(c_111,plain,
( ~ point_neighbourhood(X0,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| element(X0,powerset(the_carrier(X1)))
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f560]) ).
cnf(c_128,plain,
~ empty(powerset(X0)),
inference(cnf_transformation,[],[f577]) ).
cnf(c_168,plain,
( ~ element(X0,powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ topological_space(X1)
| open_subset(interior(X1,X0),X1) ),
inference(cnf_transformation,[],[f617]) ).
cnf(c_200,plain,
( ~ point_neighbourhood(X0,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| in(X0,a_2_0_yellow19(X1,X2))
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f825]) ).
cnf(c_201,plain,
( ~ in(X0,a_2_0_yellow19(X1,X2))
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| sK11(X0,X1,X2) = X0
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f650]) ).
cnf(c_202,plain,
( ~ in(X0,a_2_0_yellow19(X1,X2))
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| point_neighbourhood(sK11(X0,X1,X2),X1,X2)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f649]) ).
cnf(c_351,plain,
( ~ element(X0,powerset(the_carrier(boole_POSet(X1))))
| ~ upper_relstr_subset(X0,boole_POSet(X1))
| ~ in(X2,X0)
| ~ subset(X2,X3)
| ~ subset(X3,X1)
| in(X3,X0) ),
inference(cnf_transformation,[],[f796]) ).
cnf(c_352,plain,
( ~ one_sorted_str(X0)
| the_carrier(X0) = cast_as_carrier_subset(X0) ),
inference(cnf_transformation,[],[f801]) ).
cnf(c_353,plain,
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f802]) ).
cnf(c_354,plain,
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f803]) ).
cnf(c_357,plain,
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f807]) ).
cnf(c_358,plain,
( ~ element(X0,powerset(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f806]) ).
cnf(c_360,plain,
( ~ in(X0,neighborhood_system(X1,X2))
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| point_neighbourhood(X0,X1,X2)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f808]) ).
cnf(c_361,plain,
( ~ element(X0,powerset(the_carrier(X1)))
| ~ top_str(X1)
| subset(interior(X1,X0),X0) ),
inference(cnf_transformation,[],[f810]) ).
cnf(c_363,negated_conjecture,
( ~ subset(neighborhood_system(sK49,sK50),sK51)
| ~ is_a_convergence_point_of_set(sK49,sK51,sK50) ),
inference(cnf_transformation,[],[f819]) ).
cnf(c_364,negated_conjecture,
( subset(neighborhood_system(sK49,sK50),sK51)
| is_a_convergence_point_of_set(sK49,sK51,sK50) ),
inference(cnf_transformation,[],[f818]) ).
cnf(c_365,negated_conjecture,
element(sK51,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK49))))),
inference(cnf_transformation,[],[f817]) ).
cnf(c_366,negated_conjecture,
upper_relstr_subset(sK51,boole_POSet(cast_as_carrier_subset(sK49))),
inference(cnf_transformation,[],[f816]) ).
cnf(c_367,negated_conjecture,
element(sK50,the_carrier(sK49)),
inference(cnf_transformation,[],[f815]) ).
cnf(c_368,negated_conjecture,
top_str(sK49),
inference(cnf_transformation,[],[f814]) ).
cnf(c_369,negated_conjecture,
topological_space(sK49),
inference(cnf_transformation,[],[f813]) ).
cnf(c_370,negated_conjecture,
~ empty_carrier(sK49),
inference(cnf_transformation,[],[f812]) ).
cnf(c_371,plain,
( ~ element(X0,powerset(the_carrier(X1)))
| ~ element(X2,the_carrier(X1))
| ~ in(X2,X0)
| ~ open_subset(X0,X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| point_neighbourhood(X0,X1,X2)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f820]) ).
cnf(c_562,plain,
( ~ point_neighbourhood(X0,X1,X2)
| ~ element(X2,the_carrier(X1))
| ~ top_str(X1)
| ~ topological_space(X1)
| in(X2,interior(X1,X0))
| empty_carrier(X1) ),
inference(global_subsumption_just,[status(thm)],[c_92,c_111,c_92]) ).
cnf(c_655,plain,
( ~ top_str(X0)
| one_sorted_str(X0) ),
inference(prop_impl_just,[status(thm)],[c_110]) ).
cnf(c_687,plain,
( ~ one_sorted_str(X0)
| the_carrier(X0) = cast_as_carrier_subset(X0) ),
inference(prop_impl_just,[status(thm)],[c_352]) ).
cnf(c_5854,plain,
( X0 != sK49
| ~ top_str(X0)
| element(sK3(X0,X1,X2),powerset(the_carrier(X0)))
| is_a_convergence_point_of_set(X0,X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_100,c_369]) ).
cnf(c_5855,plain,
( ~ top_str(sK49)
| element(sK3(sK49,X0,X1),powerset(the_carrier(sK49)))
| is_a_convergence_point_of_set(sK49,X0,X1) ),
inference(unflattening,[status(thm)],[c_5854]) ).
cnf(c_5857,plain,
( element(sK3(sK49,X0,X1),powerset(the_carrier(sK49)))
| is_a_convergence_point_of_set(sK49,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_5855,c_368,c_5855]) ).
cnf(c_5866,plain,
( X0 != sK49
| ~ top_str(X0)
| open_subset(sK3(X0,X1,X2),X0)
| is_a_convergence_point_of_set(X0,X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_99,c_369]) ).
cnf(c_5867,plain,
( ~ top_str(sK49)
| open_subset(sK3(sK49,X0,X1),sK49)
| is_a_convergence_point_of_set(sK49,X0,X1) ),
inference(unflattening,[status(thm)],[c_5866]) ).
cnf(c_5878,plain,
( X0 != sK49
| ~ top_str(X0)
| in(X1,sK3(X0,X2,X1))
| is_a_convergence_point_of_set(X0,X2,X1) ),
inference(resolution_lifted,[status(thm)],[c_98,c_369]) ).
cnf(c_5879,plain,
( ~ top_str(sK49)
| in(X0,sK3(sK49,X1,X0))
| is_a_convergence_point_of_set(sK49,X1,X0) ),
inference(unflattening,[status(thm)],[c_5878]) ).
cnf(c_5881,plain,
( in(X0,sK3(sK49,X1,X0))
| is_a_convergence_point_of_set(sK49,X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_5879,c_368,c_5879]) ).
cnf(c_5890,plain,
( X0 != sK49
| ~ in(sK3(X0,X1,X2),X1)
| ~ top_str(X0)
| is_a_convergence_point_of_set(X0,X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_97,c_369]) ).
cnf(c_5891,plain,
( ~ in(sK3(sK49,X0,X1),X0)
| ~ top_str(sK49)
| is_a_convergence_point_of_set(sK49,X0,X1) ),
inference(unflattening,[status(thm)],[c_5890]) ).
cnf(c_5893,plain,
( ~ in(sK3(sK49,X0,X1),X0)
| is_a_convergence_point_of_set(sK49,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_5891,c_368,c_5891]) ).
cnf(c_5902,plain,
( X0 != sK49
| ~ point_neighbourhood(X1,X0,X2)
| ~ element(X2,the_carrier(X0))
| ~ top_str(X0)
| in(X2,interior(X0,X1))
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_562,c_369]) ).
cnf(c_5903,plain,
( ~ point_neighbourhood(X0,sK49,X1)
| ~ element(X1,the_carrier(sK49))
| ~ top_str(sK49)
| in(X1,interior(sK49,X0))
| empty_carrier(sK49) ),
inference(unflattening,[status(thm)],[c_5902]) ).
cnf(c_5905,plain,
( in(X1,interior(sK49,X0))
| ~ point_neighbourhood(X0,sK49,X1)
| ~ element(X1,the_carrier(sK49)) ),
inference(global_subsumption_just,[status(thm)],[c_5903,c_368,c_370,c_5903]) ).
cnf(c_5906,plain,
( ~ point_neighbourhood(X0,sK49,X1)
| ~ element(X1,the_carrier(sK49))
| in(X1,interior(sK49,X0)) ),
inference(renaming,[status(thm)],[c_5905]) ).
cnf(c_5917,plain,
( X0 != sK49
| ~ element(X1,powerset(the_carrier(X0)))
| ~ element(X2,the_carrier(X0))
| ~ in(X2,X1)
| ~ open_subset(X1,X0)
| ~ top_str(X0)
| point_neighbourhood(X1,X0,X2)
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_371,c_369]) ).
cnf(c_5918,plain,
( ~ element(X0,powerset(the_carrier(sK49)))
| ~ element(X1,the_carrier(sK49))
| ~ in(X1,X0)
| ~ open_subset(X0,sK49)
| ~ top_str(sK49)
| point_neighbourhood(X0,sK49,X1)
| empty_carrier(sK49) ),
inference(unflattening,[status(thm)],[c_5917]) ).
cnf(c_5919,plain,
( point_neighbourhood(X0,sK49,X1)
| ~ element(X0,powerset(the_carrier(sK49)))
| ~ element(X1,the_carrier(sK49))
| ~ in(X1,X0)
| ~ open_subset(X0,sK49) ),
inference(global_subsumption_just,[status(thm)],[c_5918,c_368,c_370,c_5918]) ).
cnf(c_5920,plain,
( ~ element(X0,powerset(the_carrier(sK49)))
| ~ element(X1,the_carrier(sK49))
| ~ in(X1,X0)
| ~ open_subset(X0,sK49)
| point_neighbourhood(X0,sK49,X1) ),
inference(renaming,[status(thm)],[c_5919]) ).
cnf(c_5936,plain,
( X0 != sK49
| ~ in(X1,neighborhood_system(X0,X2))
| ~ element(X2,the_carrier(X0))
| ~ top_str(X0)
| point_neighbourhood(X1,X0,X2)
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_360,c_369]) ).
cnf(c_5937,plain,
( ~ in(X0,neighborhood_system(sK49,X1))
| ~ element(X1,the_carrier(sK49))
| ~ top_str(sK49)
| point_neighbourhood(X0,sK49,X1)
| empty_carrier(sK49) ),
inference(unflattening,[status(thm)],[c_5936]) ).
cnf(c_5939,plain,
( point_neighbourhood(X0,sK49,X1)
| ~ in(X0,neighborhood_system(sK49,X1))
| ~ element(X1,the_carrier(sK49)) ),
inference(global_subsumption_just,[status(thm)],[c_5937,c_368,c_370,c_5937]) ).
cnf(c_5940,plain,
( ~ in(X0,neighborhood_system(sK49,X1))
| ~ element(X1,the_carrier(sK49))
| point_neighbourhood(X0,sK49,X1) ),
inference(renaming,[status(thm)],[c_5939]) ).
cnf(c_5966,plain,
( X0 != sK49
| ~ in(X1,a_2_0_yellow19(X0,X2))
| ~ element(X2,the_carrier(X0))
| ~ top_str(X0)
| point_neighbourhood(sK11(X1,X0,X2),X0,X2)
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_202,c_369]) ).
cnf(c_5967,plain,
( ~ in(X0,a_2_0_yellow19(sK49,X1))
| ~ element(X1,the_carrier(sK49))
| ~ top_str(sK49)
| point_neighbourhood(sK11(X0,sK49,X1),sK49,X1)
| empty_carrier(sK49) ),
inference(unflattening,[status(thm)],[c_5966]) ).
cnf(c_5969,plain,
( point_neighbourhood(sK11(X0,sK49,X1),sK49,X1)
| ~ in(X0,a_2_0_yellow19(sK49,X1))
| ~ element(X1,the_carrier(sK49)) ),
inference(global_subsumption_just,[status(thm)],[c_5967,c_368,c_370,c_5967]) ).
cnf(c_5970,plain,
( ~ in(X0,a_2_0_yellow19(sK49,X1))
| ~ element(X1,the_carrier(sK49))
| point_neighbourhood(sK11(X0,sK49,X1),sK49,X1) ),
inference(renaming,[status(thm)],[c_5969]) ).
cnf(c_5981,plain,
( X0 != sK49
| ~ in(X1,a_2_0_yellow19(X0,X2))
| ~ element(X2,the_carrier(X0))
| ~ top_str(X0)
| sK11(X1,X0,X2) = X1
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_201,c_369]) ).
cnf(c_5982,plain,
( ~ in(X0,a_2_0_yellow19(sK49,X1))
| ~ element(X1,the_carrier(sK49))
| ~ top_str(sK49)
| sK11(X0,sK49,X1) = X0
| empty_carrier(sK49) ),
inference(unflattening,[status(thm)],[c_5981]) ).
cnf(c_5984,plain,
( sK11(X0,sK49,X1) = X0
| ~ in(X0,a_2_0_yellow19(sK49,X1))
| ~ element(X1,the_carrier(sK49)) ),
inference(global_subsumption_just,[status(thm)],[c_5982,c_368,c_370,c_5982]) ).
cnf(c_5985,plain,
( ~ in(X0,a_2_0_yellow19(sK49,X1))
| ~ element(X1,the_carrier(sK49))
| sK11(X0,sK49,X1) = X0 ),
inference(renaming,[status(thm)],[c_5984]) ).
cnf(c_5996,plain,
( X0 != sK49
| ~ point_neighbourhood(X1,X0,X2)
| ~ element(X2,the_carrier(X0))
| ~ top_str(X0)
| in(X1,a_2_0_yellow19(X0,X2))
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_200,c_369]) ).
cnf(c_5997,plain,
( ~ point_neighbourhood(X0,sK49,X1)
| ~ element(X1,the_carrier(sK49))
| ~ top_str(sK49)
| in(X0,a_2_0_yellow19(sK49,X1))
| empty_carrier(sK49) ),
inference(unflattening,[status(thm)],[c_5996]) ).
cnf(c_5999,plain,
( in(X0,a_2_0_yellow19(sK49,X1))
| ~ point_neighbourhood(X0,sK49,X1)
| ~ element(X1,the_carrier(sK49)) ),
inference(global_subsumption_just,[status(thm)],[c_5997,c_368,c_370,c_5997]) ).
cnf(c_6000,plain,
( ~ point_neighbourhood(X0,sK49,X1)
| ~ element(X1,the_carrier(sK49))
| in(X0,a_2_0_yellow19(sK49,X1)) ),
inference(renaming,[status(thm)],[c_5999]) ).
cnf(c_6011,plain,
( X0 != sK49
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| open_subset(interior(X0,X1),X0) ),
inference(resolution_lifted,[status(thm)],[c_168,c_369]) ).
cnf(c_6012,plain,
( ~ element(X0,powerset(the_carrier(sK49)))
| ~ top_str(sK49)
| open_subset(interior(sK49,X0),sK49) ),
inference(unflattening,[status(thm)],[c_6011]) ).
cnf(c_6014,plain,
( ~ element(X0,powerset(the_carrier(sK49)))
| open_subset(interior(sK49,X0),sK49) ),
inference(global_subsumption_just,[status(thm)],[c_6012,c_368,c_6012]) ).
cnf(c_6047,plain,
( X0 != sK49
| ~ point_neighbourhood(X1,X0,X2)
| ~ element(X2,the_carrier(X0))
| ~ top_str(X0)
| element(X1,powerset(the_carrier(X0)))
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_111,c_369]) ).
cnf(c_6048,plain,
( ~ point_neighbourhood(X0,sK49,X1)
| ~ element(X1,the_carrier(sK49))
| ~ top_str(sK49)
| element(X0,powerset(the_carrier(sK49)))
| empty_carrier(sK49) ),
inference(unflattening,[status(thm)],[c_6047]) ).
cnf(c_6050,plain,
( element(X0,powerset(the_carrier(sK49)))
| ~ point_neighbourhood(X0,sK49,X1)
| ~ element(X1,the_carrier(sK49)) ),
inference(global_subsumption_just,[status(thm)],[c_6048,c_368,c_370,c_6048]) ).
cnf(c_6051,plain,
( ~ point_neighbourhood(X0,sK49,X1)
| ~ element(X1,the_carrier(sK49))
| element(X0,powerset(the_carrier(sK49))) ),
inference(renaming,[status(thm)],[c_6050]) ).
cnf(c_6074,plain,
( X0 != sK49
| ~ element(X1,powerset(the_carrier(X0)))
| ~ is_a_convergence_point_of_set(X0,X2,X3)
| ~ in(X3,X1)
| ~ open_subset(X1,X0)
| ~ top_str(X0)
| in(X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_101,c_369]) ).
cnf(c_6075,plain,
( ~ element(X0,powerset(the_carrier(sK49)))
| ~ is_a_convergence_point_of_set(sK49,X1,X2)
| ~ in(X2,X0)
| ~ open_subset(X0,sK49)
| ~ top_str(sK49)
| in(X0,X1) ),
inference(unflattening,[status(thm)],[c_6074]) ).
cnf(c_6076,plain,
( ~ open_subset(X0,sK49)
| ~ in(X2,X0)
| ~ is_a_convergence_point_of_set(sK49,X1,X2)
| ~ element(X0,powerset(the_carrier(sK49)))
| in(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_6075,c_368,c_6075]) ).
cnf(c_6077,plain,
( ~ element(X0,powerset(the_carrier(sK49)))
| ~ is_a_convergence_point_of_set(sK49,X1,X2)
| ~ in(X2,X0)
| ~ open_subset(X0,sK49)
| in(X0,X1) ),
inference(renaming,[status(thm)],[c_6076]) ).
cnf(c_6093,plain,
( X0 != sK49
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| neighborhood_system(X0,X1) = a_2_0_yellow19(X0,X1)
| empty_carrier(X0) ),
inference(resolution_lifted,[status(thm)],[c_93,c_369]) ).
cnf(c_6094,plain,
( ~ element(X0,the_carrier(sK49))
| ~ top_str(sK49)
| neighborhood_system(sK49,X0) = a_2_0_yellow19(sK49,X0)
| empty_carrier(sK49) ),
inference(unflattening,[status(thm)],[c_6093]) ).
cnf(c_6096,plain,
( neighborhood_system(sK49,X0) = a_2_0_yellow19(sK49,X0)
| ~ element(X0,the_carrier(sK49)) ),
inference(global_subsumption_just,[status(thm)],[c_6094,c_368,c_370,c_6094]) ).
cnf(c_6097,plain,
( ~ element(X0,the_carrier(sK49))
| neighborhood_system(sK49,X0) = a_2_0_yellow19(sK49,X0) ),
inference(renaming,[status(thm)],[c_6096]) ).
cnf(c_6256,plain,
( X0 != sK49
| one_sorted_str(X0) ),
inference(resolution_lifted,[status(thm)],[c_655,c_368]) ).
cnf(c_6257,plain,
one_sorted_str(sK49),
inference(unflattening,[status(thm)],[c_6256]) ).
cnf(c_6315,plain,
( X0 != sK49
| ~ element(X1,powerset(the_carrier(X0)))
| subset(interior(X0,X1),X1) ),
inference(resolution_lifted,[status(thm)],[c_361,c_368]) ).
cnf(c_6316,plain,
( ~ element(X0,powerset(the_carrier(sK49)))
| subset(interior(sK49,X0),X0) ),
inference(unflattening,[status(thm)],[c_6315]) ).
cnf(c_6348,plain,
( X0 != sK49
| ~ element(X1,powerset(the_carrier(X0)))
| element(interior(X0,X1),powerset(the_carrier(X0))) ),
inference(resolution_lifted,[status(thm)],[c_104,c_368]) ).
cnf(c_6349,plain,
( ~ element(X0,powerset(the_carrier(sK49)))
| element(interior(sK49,X0),powerset(the_carrier(sK49))) ),
inference(unflattening,[status(thm)],[c_6348]) ).
cnf(c_6773,plain,
( X0 != sK49
| the_carrier(X0) = cast_as_carrier_subset(X0) ),
inference(resolution_lifted,[status(thm)],[c_687,c_6257]) ).
cnf(c_6774,plain,
the_carrier(sK49) = cast_as_carrier_subset(sK49),
inference(unflattening,[status(thm)],[c_6773]) ).
cnf(c_7668,plain,
( interior(sK49,X0) != X1
| sK49 != sK49
| ~ element(X0,powerset(the_carrier(sK49)))
| ~ element(X1,powerset(the_carrier(sK49)))
| ~ is_a_convergence_point_of_set(sK49,X2,X3)
| ~ in(X3,X1)
| in(X1,X2) ),
inference(resolution_lifted,[status(thm)],[c_6077,c_6014]) ).
cnf(c_7669,plain,
( ~ element(interior(sK49,X0),powerset(the_carrier(sK49)))
| ~ in(X1,interior(sK49,X0))
| ~ element(X0,powerset(the_carrier(sK49)))
| ~ is_a_convergence_point_of_set(sK49,X2,X1)
| in(interior(sK49,X0),X2) ),
inference(unflattening,[status(thm)],[c_7668]) ).
cnf(c_7671,plain,
( ~ in(X1,interior(sK49,X0))
| ~ element(X0,powerset(the_carrier(sK49)))
| ~ is_a_convergence_point_of_set(sK49,X2,X1)
| in(interior(sK49,X0),X2) ),
inference(global_subsumption_just,[status(thm)],[c_7669,c_6349,c_7669]) ).
cnf(c_7672,plain,
( ~ in(X0,interior(sK49,X1))
| ~ element(X1,powerset(the_carrier(sK49)))
| ~ is_a_convergence_point_of_set(sK49,X2,X0)
| in(interior(sK49,X1),X2) ),
inference(renaming,[status(thm)],[c_7671]) ).
cnf(c_27090,plain,
upper_relstr_subset(sK51,boole_POSet(the_carrier(sK49))),
inference(light_normalisation,[status(thm)],[c_366,c_6774]) ).
cnf(c_27091,plain,
element(sK51,powerset(the_carrier(boole_POSet(the_carrier(sK49))))),
inference(light_normalisation,[status(thm)],[c_365,c_6774]) ).
cnf(c_27298,plain,
neighborhood_system(sK49,sK50) = a_2_0_yellow19(sK49,sK50),
inference(superposition,[status(thm)],[c_367,c_6097]) ).
cnf(c_27469,plain,
( ~ point_neighbourhood(X0,sK49,sK50)
| ~ element(sK50,the_carrier(sK49))
| in(X0,neighborhood_system(sK49,sK50)) ),
inference(superposition,[status(thm)],[c_27298,c_6000]) ).
cnf(c_27471,plain,
( ~ point_neighbourhood(X0,sK49,sK50)
| in(X0,neighborhood_system(sK49,sK50)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27469,c_367]) ).
cnf(c_27649,plain,
( ~ in(X0,a_2_0_yellow19(sK49,X1))
| ~ element(X1,the_carrier(sK49))
| element(sK11(X0,sK49,X1),powerset(the_carrier(sK49))) ),
inference(superposition,[status(thm)],[c_5970,c_6051]) ).
cnf(c_27660,plain,
( ~ in(X0,neighborhood_system(sK49,sK50))
| ~ element(sK50,the_carrier(sK49))
| sK11(X0,sK49,sK50) = X0 ),
inference(superposition,[status(thm)],[c_27298,c_5985]) ).
cnf(c_27664,plain,
( ~ in(X0,neighborhood_system(sK49,sK50))
| sK11(X0,sK49,sK50) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_27660,c_367]) ).
cnf(c_27963,plain,
( ~ element(X0,the_carrier(sK49))
| point_neighbourhood(sK2(neighborhood_system(sK49,X0),X1),sK49,X0)
| subset(neighborhood_system(sK49,X0),X1) ),
inference(superposition,[status(thm)],[c_95,c_5940]) ).
cnf(c_27965,plain,
( sK11(sK2(neighborhood_system(sK49,sK50),X0),sK49,sK50) = sK2(neighborhood_system(sK49,sK50),X0)
| subset(neighborhood_system(sK49,sK50),X0) ),
inference(superposition,[status(thm)],[c_95,c_27664]) ).
cnf(c_27987,plain,
( ~ element(X0,the_carrier(sK49))
| ~ subset(X1,the_carrier(sK49))
| ~ in(X0,X1)
| ~ open_subset(X1,sK49)
| point_neighbourhood(X1,sK49,X0) ),
inference(superposition,[status(thm)],[c_357,c_5920]) ).
cnf(c_28053,plain,
( subset(sK3(sK49,X0,X1),the_carrier(sK49))
| is_a_convergence_point_of_set(sK49,X0,X1) ),
inference(superposition,[status(thm)],[c_5857,c_358]) ).
cnf(c_28299,plain,
( ~ subset(X0,X1)
| in(X0,powerset(X1))
| empty(powerset(X1)) ),
inference(superposition,[status(thm)],[c_357,c_354]) ).
cnf(c_28345,plain,
( ~ subset(X0,X1)
| in(X0,powerset(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28299,c_128]) ).
cnf(c_28411,plain,
( ~ subset(neighborhood_system(sK49,sK50),X0)
| ~ point_neighbourhood(X1,sK49,sK50)
| in(X1,X0) ),
inference(superposition,[status(thm)],[c_27471,c_96]) ).
cnf(c_28766,plain,
( ~ upper_relstr_subset(sK51,boole_POSet(the_carrier(sK49)))
| ~ subset(X0,the_carrier(sK49))
| ~ subset(X1,X0)
| ~ in(X1,sK51)
| in(X0,sK51) ),
inference(superposition,[status(thm)],[c_27091,c_351]) ).
cnf(c_28768,plain,
( ~ subset(X0,the_carrier(sK49))
| ~ subset(X1,X0)
| ~ in(X1,sK51)
| in(X0,sK51) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28766,c_27090]) ).
cnf(c_29509,plain,
( ~ point_neighbourhood(X0,sK49,sK50)
| is_a_convergence_point_of_set(sK49,sK51,sK50)
| in(X0,sK51) ),
inference(superposition,[status(thm)],[c_364,c_28411]) ).
cnf(c_30115,plain,
( ~ point_neighbourhood(X0,sK49,sK50)
| ~ element(sK50,the_carrier(sK49))
| in(sK50,interior(sK49,X0)) ),
inference(instantiation,[status(thm)],[c_5906]) ).
cnf(c_30907,plain,
( ~ element(X0,the_carrier(sK49))
| element(sK2(neighborhood_system(sK49,X0),X1),powerset(the_carrier(sK49)))
| subset(neighborhood_system(sK49,X0),X1) ),
inference(superposition,[status(thm)],[c_27963,c_6051]) ).
cnf(c_31166,plain,
( ~ in(X0,a_2_0_yellow19(sK49,X1))
| ~ element(X1,the_carrier(sK49))
| subset(interior(sK49,sK11(X0,sK49,X1)),sK11(X0,sK49,X1)) ),
inference(superposition,[status(thm)],[c_27649,c_6316]) ).
cnf(c_32251,plain,
( ~ element(X0,the_carrier(sK49))
| subset(sK2(neighborhood_system(sK49,X0),X1),the_carrier(sK49))
| subset(neighborhood_system(sK49,X0),X1) ),
inference(superposition,[status(thm)],[c_30907,c_358]) ).
cnf(c_33107,plain,
( ~ is_a_convergence_point_of_set(sK49,sK51,sK50)
| sK11(sK2(neighborhood_system(sK49,sK50),sK51),sK49,sK50) = sK2(neighborhood_system(sK49,sK50),sK51) ),
inference(superposition,[status(thm)],[c_27965,c_363]) ).
cnf(c_34257,plain,
( ~ subset(X0,the_carrier(sK49))
| ~ in(sK50,X0)
| ~ open_subset(X0,sK49)
| point_neighbourhood(X0,sK49,sK50) ),
inference(superposition,[status(thm)],[c_367,c_27987]) ).
cnf(c_34302,plain,
( ~ in(sK50,sK3(sK49,X0,X1))
| ~ open_subset(sK3(sK49,X0,X1),sK49)
| point_neighbourhood(sK3(sK49,X0,X1),sK49,sK50)
| is_a_convergence_point_of_set(sK49,X0,X1) ),
inference(superposition,[status(thm)],[c_28053,c_34257]) ).
cnf(c_34883,plain,
( ~ in(sK2(neighborhood_system(sK49,sK50),sK51),sK51)
| subset(neighborhood_system(sK49,sK50),sK51) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_34941,plain,
( in(sK2(neighborhood_system(sK49,sK50),sK51),neighborhood_system(sK49,sK50))
| subset(neighborhood_system(sK49,sK50),sK51) ),
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_37020,plain,
( ~ subset(sK2(X0,powerset(X1)),X1)
| subset(X0,powerset(X1)) ),
inference(superposition,[status(thm)],[c_28345,c_94]) ).
cnf(c_38997,plain,
neighborhood_system(sK49,sK50) = a_2_0_yellow19(sK49,sK50),
inference(superposition,[status(thm)],[c_367,c_6097]) ).
cnf(c_40200,plain,
( ~ point_neighbourhood(X0,sK49,sK50)
| ~ element(sK50,the_carrier(sK49))
| in(X0,neighborhood_system(sK49,sK50)) ),
inference(superposition,[status(thm)],[c_38997,c_6000]) ).
cnf(c_40202,plain,
( ~ point_neighbourhood(X0,sK49,sK50)
| in(X0,neighborhood_system(sK49,sK50)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40200,c_367]) ).
cnf(c_40706,plain,
( ~ in(sK50,sK3(sK49,X0,X1))
| point_neighbourhood(sK3(sK49,X0,X1),sK49,sK50)
| is_a_convergence_point_of_set(sK49,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_34302,c_368,c_5867,c_34302]) ).
cnf(c_40721,plain,
( ~ in(sK50,sK3(sK49,X0,X1))
| in(sK3(sK49,X0,X1),sK51)
| is_a_convergence_point_of_set(sK49,X0,X1)
| is_a_convergence_point_of_set(sK49,sK51,sK50) ),
inference(superposition,[status(thm)],[c_40706,c_29509]) ).
cnf(c_40826,plain,
( in(sK3(sK49,X0,sK50),sK51)
| is_a_convergence_point_of_set(sK49,X0,sK50)
| is_a_convergence_point_of_set(sK49,sK51,sK50) ),
inference(superposition,[status(thm)],[c_5881,c_40721]) ).
cnf(c_40841,plain,
is_a_convergence_point_of_set(sK49,sK51,sK50),
inference(superposition,[status(thm)],[c_40826,c_5893]) ).
cnf(c_40842,plain,
sK11(sK2(neighborhood_system(sK49,sK50),sK51),sK49,sK50) = sK2(neighborhood_system(sK49,sK50),sK51),
inference(backward_subsumption_resolution,[status(thm)],[c_33107,c_40841]) ).
cnf(c_40862,plain,
( ~ in(sK2(neighborhood_system(sK49,sK50),sK51),a_2_0_yellow19(sK49,sK50))
| ~ element(sK50,the_carrier(sK49))
| element(sK2(neighborhood_system(sK49,sK50),sK51),powerset(the_carrier(sK49))) ),
inference(superposition,[status(thm)],[c_40842,c_27649]) ).
cnf(c_40863,plain,
( ~ in(sK2(neighborhood_system(sK49,sK50),sK51),a_2_0_yellow19(sK49,sK50))
| ~ element(sK50,the_carrier(sK49))
| point_neighbourhood(sK2(neighborhood_system(sK49,sK50),sK51),sK49,sK50) ),
inference(superposition,[status(thm)],[c_40842,c_5970]) ).
cnf(c_40864,plain,
( ~ in(sK2(neighborhood_system(sK49,sK50),sK51),neighborhood_system(sK49,sK50))
| ~ element(sK50,the_carrier(sK49))
| point_neighbourhood(sK2(neighborhood_system(sK49,sK50),sK51),sK49,sK50) ),
inference(light_normalisation,[status(thm)],[c_40863,c_27298]) ).
cnf(c_40865,plain,
( ~ in(sK2(neighborhood_system(sK49,sK50),sK51),neighborhood_system(sK49,sK50))
| point_neighbourhood(sK2(neighborhood_system(sK49,sK50),sK51),sK49,sK50) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40864,c_367]) ).
cnf(c_40868,plain,
( ~ in(sK2(neighborhood_system(sK49,sK50),sK51),neighborhood_system(sK49,sK50))
| ~ element(sK50,the_carrier(sK49))
| element(sK2(neighborhood_system(sK49,sK50),sK51),powerset(the_carrier(sK49))) ),
inference(light_normalisation,[status(thm)],[c_40862,c_27298]) ).
cnf(c_40869,plain,
( ~ in(sK2(neighborhood_system(sK49,sK50),sK51),neighborhood_system(sK49,sK50))
| element(sK2(neighborhood_system(sK49,sK50),sK51),powerset(the_carrier(sK49))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40868,c_367]) ).
cnf(c_41847,plain,
( ~ in(X0,neighborhood_system(sK49,sK50))
| ~ element(sK50,the_carrier(sK49))
| sK11(X0,sK49,sK50) = X0 ),
inference(superposition,[status(thm)],[c_38997,c_5985]) ).
cnf(c_41851,plain,
( ~ in(X0,neighborhood_system(sK49,sK50))
| sK11(X0,sK49,sK50) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_41847,c_367]) ).
cnf(c_42258,plain,
( ~ in(X0,interior(sK49,X1))
| ~ element(X1,powerset(the_carrier(sK49)))
| ~ open_subset(interior(sK49,X1),sK49)
| ~ is_a_convergence_point_of_set(sK49,X2,X0)
| in(interior(sK49,X1),X2) ),
inference(superposition,[status(thm)],[c_6349,c_6077]) ).
cnf(c_44545,plain,
( sK11(sK2(neighborhood_system(sK49,sK50),X0),sK49,sK50) = sK2(neighborhood_system(sK49,sK50),X0)
| subset(neighborhood_system(sK49,sK50),X0) ),
inference(superposition,[status(thm)],[c_95,c_41851]) ).
cnf(c_44565,plain,
( ~ is_a_convergence_point_of_set(sK49,X0,X1)
| ~ subset(X2,the_carrier(sK49))
| ~ in(X1,X2)
| ~ open_subset(X2,sK49)
| in(X2,X0) ),
inference(superposition,[status(thm)],[c_357,c_6077]) ).
cnf(c_47599,plain,
( ~ subset(neighborhood_system(sK49,sK50),X0)
| ~ point_neighbourhood(X1,sK49,sK50)
| in(X1,X0) ),
inference(superposition,[status(thm)],[c_40202,c_96]) ).
cnf(c_54041,plain,
( ~ point_neighbourhood(X0,sK49,sK50)
| is_a_convergence_point_of_set(sK49,sK51,sK50)
| in(X0,sK51) ),
inference(superposition,[status(thm)],[c_364,c_47599]) ).
cnf(c_54058,plain,
is_a_convergence_point_of_set(sK49,sK51,sK50),
inference(global_subsumption_just,[status(thm)],[c_54041,c_40841]) ).
cnf(c_54060,plain,
~ subset(neighborhood_system(sK49,sK50),sK51),
inference(backward_subsumption_resolution,[status(thm)],[c_363,c_54058]) ).
cnf(c_55311,plain,
( ~ element(X0,the_carrier(sK49))
| subset(neighborhood_system(sK49,X0),powerset(the_carrier(sK49))) ),
inference(superposition,[status(thm)],[c_32251,c_37020]) ).
cnf(c_55600,plain,
( ~ point_neighbourhood(X0,sK49,sK50)
| ~ element(sK50,the_carrier(sK49))
| in(X0,powerset(the_carrier(sK49))) ),
inference(superposition,[status(thm)],[c_55311,c_28411]) ).
cnf(c_55601,plain,
( ~ point_neighbourhood(X0,sK49,sK50)
| in(X0,powerset(the_carrier(sK49))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55600,c_367]) ).
cnf(c_55664,plain,
( ~ point_neighbourhood(X0,sK49,sK50)
| element(X0,powerset(the_carrier(sK49))) ),
inference(superposition,[status(thm)],[c_55601,c_353]) ).
cnf(c_55732,plain,
( ~ point_neighbourhood(X0,sK49,sK50)
| subset(X0,the_carrier(sK49)) ),
inference(superposition,[status(thm)],[c_55664,c_358]) ).
cnf(c_55954,plain,
( ~ in(X0,a_2_0_yellow19(sK49,sK50))
| ~ element(sK50,the_carrier(sK49))
| subset(sK11(X0,sK49,sK50),the_carrier(sK49)) ),
inference(superposition,[status(thm)],[c_5970,c_55732]) ).
cnf(c_56008,plain,
( ~ in(X0,neighborhood_system(sK49,sK50))
| ~ element(sK50,the_carrier(sK49))
| subset(sK11(X0,sK49,sK50),the_carrier(sK49)) ),
inference(light_normalisation,[status(thm)],[c_55954,c_27298]) ).
cnf(c_56009,plain,
( ~ in(X0,neighborhood_system(sK49,sK50))
| subset(sK11(X0,sK49,sK50),the_carrier(sK49)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56008,c_367]) ).
cnf(c_56138,plain,
( ~ subset(X0,sK11(X1,sK49,sK50))
| ~ in(X1,neighborhood_system(sK49,sK50))
| ~ in(X0,sK51)
| in(sK11(X1,sK49,sK50),sK51) ),
inference(superposition,[status(thm)],[c_56009,c_28768]) ).
cnf(c_59600,plain,
( ~ point_neighbourhood(sK2(neighborhood_system(sK49,sK50),sK51),sK49,sK50)
| ~ element(sK50,the_carrier(sK49))
| in(sK50,interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51))) ),
inference(instantiation,[status(thm)],[c_30115]) ).
cnf(c_63962,plain,
sK11(sK2(neighborhood_system(sK49,sK50),sK51),sK49,sK50) = sK2(neighborhood_system(sK49,sK50),sK51),
inference(superposition,[status(thm)],[c_44545,c_54060]) ).
cnf(c_64042,plain,
( ~ in(sK2(neighborhood_system(sK49,sK50),sK51),a_2_0_yellow19(sK49,sK50))
| ~ element(sK50,the_carrier(sK49))
| point_neighbourhood(sK2(neighborhood_system(sK49,sK50),sK51),sK49,sK50) ),
inference(superposition,[status(thm)],[c_63962,c_5970]) ).
cnf(c_64043,plain,
( ~ in(sK2(neighborhood_system(sK49,sK50),sK51),neighborhood_system(sK49,sK50))
| ~ element(sK50,the_carrier(sK49))
| point_neighbourhood(sK2(neighborhood_system(sK49,sK50),sK51),sK49,sK50) ),
inference(light_normalisation,[status(thm)],[c_64042,c_38997]) ).
cnf(c_64044,plain,
( ~ in(sK2(neighborhood_system(sK49,sK50),sK51),neighborhood_system(sK49,sK50))
| point_neighbourhood(sK2(neighborhood_system(sK49,sK50),sK51),sK49,sK50) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64043,c_367]) ).
cnf(c_64424,plain,
point_neighbourhood(sK2(neighborhood_system(sK49,sK50),sK51),sK49,sK50),
inference(global_subsumption_just,[status(thm)],[c_64044,c_363,c_34941,c_40841,c_40865]) ).
cnf(c_64427,plain,
( ~ element(sK50,the_carrier(sK49))
| element(sK2(neighborhood_system(sK49,sK50),sK51),powerset(the_carrier(sK49))) ),
inference(superposition,[status(thm)],[c_64424,c_6051]) ).
cnf(c_64430,plain,
element(sK2(neighborhood_system(sK49,sK50),sK51),powerset(the_carrier(sK49))),
inference(forward_subsumption_resolution,[status(thm)],[c_64427,c_367]) ).
cnf(c_64650,plain,
open_subset(interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)),sK49),
inference(superposition,[status(thm)],[c_64430,c_6014]) ).
cnf(c_66495,plain,
( ~ subset(X0,the_carrier(sK49))
| ~ in(sK50,X0)
| ~ open_subset(X0,sK49)
| in(X0,sK51) ),
inference(superposition,[status(thm)],[c_54058,c_44565]) ).
cnf(c_67074,plain,
( ~ in(interior(sK49,sK11(X0,sK49,sK50)),sK51)
| ~ in(X0,neighborhood_system(sK49,sK50))
| ~ in(X0,a_2_0_yellow19(sK49,sK50))
| ~ element(sK50,the_carrier(sK49))
| in(sK11(X0,sK49,sK50),sK51) ),
inference(superposition,[status(thm)],[c_31166,c_56138]) ).
cnf(c_67150,plain,
( ~ in(interior(sK49,sK11(X0,sK49,sK50)),sK51)
| ~ in(X0,neighborhood_system(sK49,sK50))
| ~ element(sK50,the_carrier(sK49))
| in(sK11(X0,sK49,sK50),sK51) ),
inference(light_normalisation,[status(thm)],[c_67074,c_27298]) ).
cnf(c_67151,plain,
( ~ in(interior(sK49,sK11(X0,sK49,sK50)),sK51)
| ~ in(X0,neighborhood_system(sK49,sK50))
| in(sK11(X0,sK49,sK50),sK51) ),
inference(forward_subsumption_resolution,[status(thm)],[c_67150,c_367]) ).
cnf(c_67313,plain,
( ~ in(interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)),sK51)
| ~ in(sK2(neighborhood_system(sK49,sK50),sK51),neighborhood_system(sK49,sK50))
| in(sK11(sK2(neighborhood_system(sK49,sK50),sK51),sK49,sK50),sK51) ),
inference(superposition,[status(thm)],[c_40842,c_67151]) ).
cnf(c_67342,plain,
( ~ in(interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)),sK51)
| ~ in(sK2(neighborhood_system(sK49,sK50),sK51),neighborhood_system(sK49,sK50))
| in(sK2(neighborhood_system(sK49,sK50),sK51),sK51) ),
inference(light_normalisation,[status(thm)],[c_67313,c_40842]) ).
cnf(c_93634,plain,
( ~ element(X1,powerset(the_carrier(sK49)))
| ~ in(X0,interior(sK49,X1))
| ~ is_a_convergence_point_of_set(sK49,X2,X0)
| in(interior(sK49,X1),X2) ),
inference(global_subsumption_just,[status(thm)],[c_42258,c_7672]) ).
cnf(c_93635,plain,
( ~ in(X0,interior(sK49,X1))
| ~ element(X1,powerset(the_carrier(sK49)))
| ~ is_a_convergence_point_of_set(sK49,X2,X0)
| in(interior(sK49,X1),X2) ),
inference(renaming,[status(thm)],[c_93634]) ).
cnf(c_93668,plain,
( ~ in(X0,interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)))
| ~ is_a_convergence_point_of_set(sK49,X1,X0)
| in(interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)),X1) ),
inference(superposition,[status(thm)],[c_64430,c_93635]) ).
cnf(c_126465,plain,
( ~ point_neighbourhood(sK2(neighborhood_system(sK49,sK50),sK51),sK49,X0)
| ~ is_a_convergence_point_of_set(sK49,X1,X0)
| ~ element(X0,the_carrier(sK49))
| in(interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)),X1) ),
inference(superposition,[status(thm)],[c_5906,c_93668]) ).
cnf(c_143531,plain,
( ~ element(sK2(neighborhood_system(sK49,sK50),sK51),powerset(the_carrier(sK49)))
| element(interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)),powerset(the_carrier(sK49))) ),
inference(instantiation,[status(thm)],[c_6349]) ).
cnf(c_173773,plain,
( ~ is_a_convergence_point_of_set(sK49,X0,sK50)
| ~ element(sK50,the_carrier(sK49))
| in(interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)),X0) ),
inference(superposition,[status(thm)],[c_64424,c_126465]) ).
cnf(c_173774,plain,
( ~ is_a_convergence_point_of_set(sK49,X0,sK50)
| in(interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_173773,c_367]) ).
cnf(c_173784,plain,
( ~ is_a_convergence_point_of_set(sK49,X0,sK50)
| ~ subset(X0,X1)
| in(interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)),X1) ),
inference(superposition,[status(thm)],[c_173774,c_96]) ).
cnf(c_175959,plain,
( ~ subset(sK51,X0)
| in(interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)),X0) ),
inference(superposition,[status(thm)],[c_54058,c_173784]) ).
cnf(c_175976,plain,
( ~ subset(sK51,neighborhood_system(sK49,X0))
| ~ element(X0,the_carrier(sK49))
| point_neighbourhood(interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)),sK49,X0) ),
inference(superposition,[status(thm)],[c_175959,c_5940]) ).
cnf(c_177283,plain,
( ~ subset(sK51,neighborhood_system(sK49,X0))
| ~ element(X0,the_carrier(sK49))
| element(interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)),powerset(the_carrier(sK49))) ),
inference(superposition,[status(thm)],[c_175976,c_6051]) ).
cnf(c_179077,plain,
element(interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)),powerset(the_carrier(sK49))),
inference(global_subsumption_just,[status(thm)],[c_177283,c_363,c_34941,c_40841,c_40869,c_143531]) ).
cnf(c_179079,plain,
subset(interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)),the_carrier(sK49)),
inference(superposition,[status(thm)],[c_179077,c_358]) ).
cnf(c_204441,plain,
( ~ in(sK50,interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)))
| ~ open_subset(interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)),sK49)
| in(interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)),sK51) ),
inference(superposition,[status(thm)],[c_179079,c_66495]) ).
cnf(c_204451,plain,
( ~ in(sK50,interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)))
| in(interior(sK49,sK2(neighborhood_system(sK49,sK50),sK51)),sK51) ),
inference(forward_subsumption_resolution,[status(thm)],[c_204441,c_64650]) ).
cnf(c_204454,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_204451,c_67342,c_59600,c_40865,c_40841,c_34941,c_34883,c_363,c_367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU389+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 23 17:18:49 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 47.15/7.26 % SZS status Started for theBenchmark.p
% 47.15/7.26 % SZS status Theorem for theBenchmark.p
% 47.15/7.26
% 47.15/7.26 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 47.15/7.26
% 47.15/7.26 ------ iProver source info
% 47.15/7.26
% 47.15/7.26 git: date: 2023-05-31 18:12:56 +0000
% 47.15/7.26 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 47.15/7.26 git: non_committed_changes: false
% 47.15/7.26 git: last_make_outside_of_git: false
% 47.15/7.26
% 47.15/7.26 ------ Parsing...
% 47.15/7.26 ------ Clausification by vclausify_rel & Parsing by iProver...
% 47.15/7.26
% 47.15/7.26 ------ Preprocessing... sup_sim: 0 sf_s rm: 11 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e
% 47.15/7.26
% 47.15/7.26 ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e
% 47.15/7.26
% 47.15/7.26 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 47.15/7.26 ------ Proving...
% 47.15/7.26 ------ Problem Properties
% 47.15/7.26
% 47.15/7.26
% 47.15/7.26 clauses 474
% 47.15/7.26 conjectures 5
% 47.15/7.26 EPR 30
% 47.15/7.26 Horn 456
% 47.15/7.26 unary 234
% 47.15/7.26 binary 206
% 47.15/7.26 lits 756
% 47.15/7.26 lits eq 165
% 47.15/7.26 fd_pure 0
% 47.15/7.26 fd_pseudo 0
% 47.15/7.26 fd_cond 1
% 47.15/7.26 fd_pseudo_cond 5
% 47.15/7.26 AC symbols 0
% 47.15/7.26
% 47.15/7.26 ------ Schedule dynamic 5 is on
% 47.15/7.26
% 47.15/7.26 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 47.15/7.26
% 47.15/7.26
% 47.15/7.26 ------
% 47.15/7.26 Current options:
% 47.15/7.26 ------
% 47.15/7.26
% 47.15/7.26
% 47.15/7.26
% 47.15/7.26
% 47.15/7.26 ------ Proving...
% 47.15/7.26
% 47.15/7.26
% 47.15/7.26 % SZS status Theorem for theBenchmark.p
% 47.15/7.26
% 47.15/7.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 47.15/7.27
% 47.15/7.27
%------------------------------------------------------------------------------