%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU372+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 12:48:35 PM UTC 2026
% Result : Theorem 38.86s 6.35s
% Output : Refutation 39.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 29
% Syntax : Number of formulae : 277 ( 27 unt; 8 def)
% Number of atoms : 1131 ( 48 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 1583 ( 729 ~; 758 |; 35 &)
% ( 16 <=>; 43 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 6 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 482 ( 0 sgn 473 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ( X2 = topstr_closure(X0,X1)
<=> ! [X3] :
( in(X3,the_carrier(X0))
=> ( in(X3,X2)
<=> ! [X4] :
( element(X4,powerset(the_carrier(X0)))
=> ~ ( open_subset(X4,X0)
& in(X3,X4)
& disjoint(X1,X4) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_pre_topc) ).
fof(f89,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(f105,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tops_1) ).
fof(f204,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(f230,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> element(subset_complement(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1) ).
fof(f251,axiom,
! [X0,X1] :
( ( top_str(X0)
& element(X1,powerset(the_carrier(X0))) )
=> element(topstr_closure(X0,X1),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
fof(f265,axiom,
! [X0] :
( top_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f270,axiom,
! [X0,X1] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& element(X1,the_carrier(X0)) )
=> ! [X2] :
( point_neighbourhood(X2,X0,X1)
=> element(X2,powerset(the_carrier(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_connsp_2) ).
fof(f312,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f390,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> subset_complement(X0,subset_complement(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(f404,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> ! [X2] :
( in(X2,X1)
=> in(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_subset_1) ).
fof(f431,axiom,
! [X0] :
( ( topological_space(X0)
& top_str(X0) )
=> ? [X1] :
( element(X1,powerset(the_carrier(X0)))
& open_subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_tops_1) ).
fof(f463,axiom,
! [X0] : k1_pcomps_1(X0) = powerset(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_pcomps_1) ).
fof(f537,axiom,
! [X0,X1] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(f632,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f675,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(f692,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f698,axiom,
! [X0] :
( ( topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> open_subset(interior(X0,X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_tops_1) ).
fof(f705,axiom,
! [X0] :
( ( topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( ( open_subset(X3,X1)
=> interior(X1,X3) = X3 )
& ( interior(X0,X2) = X2
=> open_subset(X2,X0) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_tops_1) ).
fof(f719,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& disjoint(X1,X2) )
=> disjoint(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_xboole_1) ).
fof(f729,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( in(X2,topstr_closure(X0,X1))
<=> ! [X3] :
( point_neighbourhood(X3,X0,X2)
=> ~ disjoint(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_yellow_6) ).
fof(f730,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( in(X2,topstr_closure(X0,X1))
<=> ! [X3] :
( point_neighbourhood(X3,X0,X2)
=> ~ disjoint(X3,X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f729]) ).
fof(f937,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = topstr_closure(X0,X1)
<=> ! [X3] :
( ( in(X3,X2)
<=> ! [X4] :
( ~ open_subset(X4,X0)
| ~ in(X3,X4)
| ~ disjoint(X1,X4)
| ~ element(X4,powerset(the_carrier(X0))) ) )
| ~ in(X3,the_carrier(X0)) ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f938,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = topstr_closure(X0,X1)
<=> ! [X3] :
( ( in(X3,X2)
<=> ! [X4] :
( ~ open_subset(X4,X0)
| ~ in(X3,X4)
| ~ disjoint(X1,X4)
| ~ element(X4,powerset(the_carrier(X0))) ) )
| ~ in(X3,the_carrier(X0)) ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(flattening,[],[f937]) ).
fof(f953,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,[],[f89]) ).
fof(f954,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,[],[f953]) ).
fof(f971,plain,
! [X0] :
( ! [X1] :
( interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1)))
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f105]) ).
fof(f1078,plain,
! [X0,X1] :
( element(interior(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(ennf_transformation,[],[f204]) ).
fof(f1079,plain,
! [X0,X1] :
( element(interior(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f1078]) ).
fof(f1100,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f230]) ).
fof(f1122,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(ennf_transformation,[],[f251]) ).
fof(f1123,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f1122]) ).
fof(f1139,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f265]) ).
fof(f1143,plain,
! [X0,X1] :
( ! [X2] :
( element(X2,powerset(the_carrier(X0)))
| ~ point_neighbourhood(X2,X0,X1) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(ennf_transformation,[],[f270]) ).
fof(f1144,plain,
! [X0,X1] :
( ! [X2] :
( element(X2,powerset(the_carrier(X0)))
| ~ point_neighbourhood(X2,X0,X1) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(flattening,[],[f1143]) ).
fof(f1176,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f312]) ).
fof(f1177,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f1176]) ).
fof(f1272,plain,
! [X0,X1] :
( subset_complement(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f390]) ).
fof(f1284,plain,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f404]) ).
fof(f1297,plain,
! [X0] :
( ? [X1] :
( element(X1,powerset(the_carrier(X0)))
& open_subset(X1,X0) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f431]) ).
fof(f1298,plain,
! [X0] :
( ? [X1] :
( element(X1,powerset(the_carrier(X0)))
& open_subset(X1,X0) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f1297]) ).
fof(f1436,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(ennf_transformation,[],[f537]) ).
fof(f1566,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f632]) ).
fof(f1567,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f1566]) ).
fof(f1611,plain,
! [X0] :
( ! [X1] :
( subset(interior(X0,X1),X1)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f675]) ).
fof(f1636,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f692]) ).
fof(f1637,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f1636]) ).
fof(f1644,plain,
! [X0] :
( ! [X1] :
( open_subset(interior(X0,X1),X0)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f698]) ).
fof(f1645,plain,
! [X0] :
( ! [X1] :
( open_subset(interior(X0,X1),X0)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f1644]) ).
fof(f1658,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( interior(X1,X3) = X3
| ~ open_subset(X3,X1) )
& ( open_subset(X2,X0)
| interior(X0,X2) != X2 ) )
| ~ element(X3,powerset(the_carrier(X1))) )
| ~ element(X2,powerset(the_carrier(X0))) )
| ~ top_str(X1) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f705]) ).
fof(f1659,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( interior(X1,X3) = X3
| ~ open_subset(X3,X1) )
& ( open_subset(X2,X0)
| interior(X0,X2) != X2 ) )
| ~ element(X3,powerset(the_carrier(X1))) )
| ~ element(X2,powerset(the_carrier(X0))) )
| ~ top_str(X1) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f1658]) ).
fof(f1678,plain,
! [X0,X1,X2] :
( disjoint(X0,X2)
| ~ subset(X0,X1)
| ~ disjoint(X1,X2) ),
inference(ennf_transformation,[],[f719]) ).
fof(f1679,plain,
! [X0,X1,X2] :
( disjoint(X0,X2)
| ~ subset(X0,X1)
| ~ disjoint(X1,X2) ),
inference(flattening,[],[f1678]) ).
fof(f1690,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( in(X2,topstr_closure(X0,X1))
<~> ! [X3] :
( ~ disjoint(X3,X1)
| ~ point_neighbourhood(X3,X0,X2) ) )
& element(X2,the_carrier(X0)) )
& element(X1,powerset(the_carrier(X0))) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) ),
inference(ennf_transformation,[],[f730]) ).
fof(f1691,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( in(X2,topstr_closure(X0,X1))
<~> ! [X3] :
( ~ disjoint(X3,X1)
| ~ point_neighbourhood(X3,X0,X2) ) )
& element(X2,the_carrier(X0)) )
& element(X1,powerset(the_carrier(X0))) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) ),
inference(flattening,[],[f1690]) ).
fof(f1900,plain,
! [X2,X3,X0,X1,X4] :
( ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| ~ element(X4,powerset(the_carrier(X0)))
| ~ disjoint(X1,X4)
| ~ in(X3,X4)
| ~ open_subset(X4,X0)
| ~ in(X3,X2)
| topstr_closure(X0,X1) != X2 ),
inference(cnf_transformation,[],[f938]) ).
fof(f1901,plain,
! [X2,X3,X0,X1] :
( ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| element(sK19(X0,X1,X3),powerset(the_carrier(X0)))
| in(X3,X2)
| topstr_closure(X0,X1) != X2 ),
inference(cnf_transformation,[],[f938]) ).
fof(f1902,plain,
! [X2,X3,X0,X1] :
( ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| disjoint(X1,sK19(X0,X1,X3))
| in(X3,X2)
| topstr_closure(X0,X1) != X2 ),
inference(cnf_transformation,[],[f938]) ).
fof(f1903,plain,
! [X2,X3,X0,X1] :
( ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| in(X3,sK19(X0,X1,X3))
| in(X3,X2)
| topstr_closure(X0,X1) != X2 ),
inference(cnf_transformation,[],[f938]) ).
fof(f1904,plain,
! [X2,X3,X0,X1] :
( ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| open_subset(sK19(X0,X1,X3),X0)
| in(X3,X2)
| topstr_closure(X0,X1) != X2 ),
inference(cnf_transformation,[],[f938]) ).
fof(f1945,plain,
! [X2,X0,X1] :
( ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,powerset(the_carrier(X0)))
| ~ in(X1,interior(X0,X2))
| point_neighbourhood(X2,X0,X1) ),
inference(cnf_transformation,[],[f954]) ).
fof(f1946,plain,
! [X2,X0,X1] :
( ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,powerset(the_carrier(X0)))
| in(X1,interior(X0,X2))
| ~ point_neighbourhood(X2,X0,X1) ),
inference(cnf_transformation,[],[f954]) ).
fof(f2021,plain,
! [X0,X1] :
( ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1))) ),
inference(cnf_transformation,[],[f971]) ).
fof(f2358,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| element(interior(X0,X1),powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f1079]) ).
fof(f2389,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| element(subset_complement(X0,X1),powerset(X0)) ),
inference(cnf_transformation,[],[f1100]) ).
fof(f2407,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| element(topstr_closure(X0,X1),powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f1123]) ).
fof(f2423,plain,
! [X0] :
( ~ top_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1139]) ).
fof(f2428,plain,
! [X2,X0,X1] :
( ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ point_neighbourhood(X2,X0,X1)
| element(X2,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f1144]) ).
fof(f2508,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1177]) ).
fof(f2763,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| subset_complement(X0,subset_complement(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f1272]) ).
fof(f2785,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X0))
| ~ in(X2,X1)
| in(X2,X0) ),
inference(cnf_transformation,[],[f1284]) ).
fof(f2914,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| element(sK175(X0),powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f1298]) ).
fof(f3043,plain,
! [X0] : powerset(X0) = k1_pcomps_1(X0),
inference(cnf_transformation,[],[f463]) ).
fof(f3943,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| disjoint(X1,X0) ),
inference(cnf_transformation,[],[f1436]) ).
fof(f4108,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f1567]) ).
fof(f4197,plain,
! [X0,X1] :
( ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| subset(interior(X0,X1),X1) ),
inference(cnf_transformation,[],[f1611]) ).
fof(f4224,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f1637]) ).
fof(f4232,plain,
! [X0,X1] :
( ~ top_str(X0)
| ~ topological_space(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| open_subset(interior(X0,X1),X0) ),
inference(cnf_transformation,[],[f1645]) ).
fof(f4254,plain,
! [X2,X3,X0,X1] :
( ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X0)))
| ~ element(X3,powerset(the_carrier(X1)))
| ~ open_subset(X3,X1)
| interior(X1,X3) = X3 ),
inference(cnf_transformation,[],[f1659]) ).
fof(f4273,plain,
! [X2,X0,X1] :
( ~ disjoint(X1,X2)
| ~ subset(X0,X1)
| disjoint(X0,X2) ),
inference(cnf_transformation,[],[f1679]) ).
fof(f4290,plain,
( point_neighbourhood(sK533,sK530,sK532)
| ~ in(sK532,topstr_closure(sK530,sK531)) ),
inference(cnf_transformation,[],[f1691]) ).
fof(f4291,plain,
( disjoint(sK533,sK531)
| ~ in(sK532,topstr_closure(sK530,sK531)) ),
inference(cnf_transformation,[],[f1691]) ).
fof(f4292,plain,
! [X3] :
( ~ point_neighbourhood(X3,sK530,sK532)
| ~ disjoint(X3,sK531)
| in(sK532,topstr_closure(sK530,sK531)) ),
inference(cnf_transformation,[],[f1691]) ).
fof(f4293,plain,
element(sK532,the_carrier(sK530)),
inference(cnf_transformation,[],[f1691]) ).
fof(f4294,plain,
element(sK531,powerset(the_carrier(sK530))),
inference(cnf_transformation,[],[f1691]) ).
fof(f4295,plain,
top_str(sK530),
inference(cnf_transformation,[],[f1691]) ).
fof(f4296,plain,
topological_space(sK530),
inference(cnf_transformation,[],[f1691]) ).
fof(f4297,plain,
~ empty_carrier(sK530),
inference(cnf_transformation,[],[f1691]) ).
fof(f4395,plain,
! [X2,X3,X0,X1] :
( ~ top_str(X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ element(X2,k1_pcomps_1(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| open_subset(sK19(X0,X1,X3),X0)
| in(X3,X2)
| topstr_closure(X0,X1) != X2 ),
inference(definition_unfolding,[],[f1904,f3043,f3043]) ).
fof(f4396,plain,
! [X2,X3,X0,X1] :
( ~ top_str(X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ element(X2,k1_pcomps_1(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| in(X3,sK19(X0,X1,X3))
| in(X3,X2)
| topstr_closure(X0,X1) != X2 ),
inference(definition_unfolding,[],[f1903,f3043,f3043]) ).
fof(f4397,plain,
! [X2,X3,X0,X1] :
( ~ top_str(X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ element(X2,k1_pcomps_1(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| disjoint(X1,sK19(X0,X1,X3))
| in(X3,X2)
| topstr_closure(X0,X1) != X2 ),
inference(definition_unfolding,[],[f1902,f3043,f3043]) ).
fof(f4398,plain,
! [X2,X3,X0,X1] :
( ~ top_str(X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ element(X2,k1_pcomps_1(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| element(sK19(X0,X1,X3),k1_pcomps_1(the_carrier(X0)))
| in(X3,X2)
| topstr_closure(X0,X1) != X2 ),
inference(definition_unfolding,[],[f1901,f3043,f3043,f3043]) ).
fof(f4399,plain,
! [X2,X3,X0,X1,X4] :
( ~ top_str(X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ element(X2,k1_pcomps_1(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| ~ element(X4,k1_pcomps_1(the_carrier(X0)))
| ~ disjoint(X1,X4)
| ~ in(X3,X4)
| ~ open_subset(X4,X0)
| ~ in(X3,X2)
| topstr_closure(X0,X1) != X2 ),
inference(definition_unfolding,[],[f1900,f3043,f3043,f3043]) ).
fof(f4409,plain,
! [X2,X0,X1] :
( ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,k1_pcomps_1(the_carrier(X0)))
| in(X1,interior(X0,X2))
| ~ point_neighbourhood(X2,X0,X1) ),
inference(definition_unfolding,[],[f1946,f3043]) ).
fof(f4410,plain,
! [X2,X0,X1] :
( ~ element(X2,k1_pcomps_1(the_carrier(X0)))
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ in(X1,interior(X0,X2))
| point_neighbourhood(X2,X0,X1) ),
inference(definition_unfolding,[],[f1945,f3043]) ).
fof(f4442,plain,
! [X0,X1] :
( interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1)))
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ top_str(X0) ),
inference(definition_unfolding,[],[f2021,f3043]) ).
fof(f4558,plain,
! [X0,X1] :
( element(interior(X0,X1),k1_pcomps_1(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0))) ),
inference(definition_unfolding,[],[f2358,f3043,f3043]) ).
fof(f4568,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),k1_pcomps_1(X0))
| ~ element(X1,k1_pcomps_1(X0)) ),
inference(definition_unfolding,[],[f2389,f3043,f3043]) ).
fof(f4576,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),k1_pcomps_1(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0))) ),
inference(definition_unfolding,[],[f2407,f3043,f3043]) ).
fof(f4581,plain,
! [X2,X0,X1] :
( element(X2,k1_pcomps_1(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ point_neighbourhood(X2,X0,X1)
| ~ element(X1,the_carrier(X0)) ),
inference(definition_unfolding,[],[f2428,f3043]) ).
fof(f4670,plain,
! [X0,X1] :
( subset_complement(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,k1_pcomps_1(X0)) ),
inference(definition_unfolding,[],[f2763,f3043]) ).
fof(f4684,plain,
! [X2,X0,X1] :
( ~ element(X1,k1_pcomps_1(X0))
| ~ in(X2,X1)
| in(X2,X0) ),
inference(definition_unfolding,[],[f2785,f3043]) ).
fof(f4703,plain,
! [X0] :
( ~ top_str(X0)
| ~ topological_space(X0)
| element(sK175(X0),k1_pcomps_1(the_carrier(X0))) ),
inference(definition_unfolding,[],[f2914,f3043]) ).
fof(f5350,plain,
! [X0,X1] :
( ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ top_str(X0)
| subset(interior(X0,X1),X1) ),
inference(definition_unfolding,[],[f4197,f3043]) ).
fof(f5366,plain,
! [X2,X0,X1] :
( ~ element(X1,k1_pcomps_1(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(definition_unfolding,[],[f4224,f3043]) ).
fof(f5372,plain,
! [X0,X1] :
( ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ topological_space(X0)
| ~ top_str(X0)
| open_subset(interior(X0,X1),X0) ),
inference(definition_unfolding,[],[f4232,f3043]) ).
fof(f5377,plain,
! [X2,X3,X0,X1] :
( ~ top_str(X0)
| ~ topological_space(X0)
| ~ top_str(X1)
| ~ element(X2,k1_pcomps_1(the_carrier(X0)))
| ~ element(X3,k1_pcomps_1(the_carrier(X1)))
| ~ open_subset(X3,X1)
| interior(X1,X3) = X3 ),
inference(definition_unfolding,[],[f4254,f3043,f3043]) ).
fof(f5391,plain,
element(sK531,k1_pcomps_1(the_carrier(sK530))),
inference(definition_unfolding,[],[f4294,f3043]) ).
fof(f5431,plain,
! [X3,X0,X1] :
( ~ top_str(X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ element(topstr_closure(X0,X1),k1_pcomps_1(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| open_subset(sK19(X0,X1,X3),X0)
| in(X3,topstr_closure(X0,X1)) ),
inference(equality_resolution,[],[f4395]) ).
fof(f5432,plain,
! [X3,X0,X1] :
( ~ top_str(X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ element(topstr_closure(X0,X1),k1_pcomps_1(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| in(X3,sK19(X0,X1,X3))
| in(X3,topstr_closure(X0,X1)) ),
inference(equality_resolution,[],[f4396]) ).
fof(f5433,plain,
! [X3,X0,X1] :
( ~ top_str(X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ element(topstr_closure(X0,X1),k1_pcomps_1(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| disjoint(X1,sK19(X0,X1,X3))
| in(X3,topstr_closure(X0,X1)) ),
inference(equality_resolution,[],[f4397]) ).
fof(f5434,plain,
! [X3,X0,X1] :
( ~ top_str(X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ element(topstr_closure(X0,X1),k1_pcomps_1(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| element(sK19(X0,X1,X3),k1_pcomps_1(the_carrier(X0)))
| in(X3,topstr_closure(X0,X1)) ),
inference(equality_resolution,[],[f4398]) ).
fof(f5435,plain,
! [X3,X0,X1,X4] :
( ~ top_str(X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ element(topstr_closure(X0,X1),k1_pcomps_1(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| ~ element(X4,k1_pcomps_1(the_carrier(X0)))
| ~ disjoint(X1,X4)
| ~ in(X3,X4)
| ~ open_subset(X4,X0)
| ~ in(X3,topstr_closure(X0,X1)) ),
inference(equality_resolution,[],[f4399]) ).
fof(f5750,definition,
sF537 = the_carrier(sK530),
introduced(definition,[new_symbols(definition,[sF537])],[function_definition]) ).
fof(f5751,plain,
the_carrier(sK530) = sF537,
inference(reorient_equations,[],[f5750]) ).
fof(f5752,definition,
sF538 = k1_pcomps_1(sF537),
introduced(definition,[new_symbols(definition,[sF538])],[function_definition]) ).
fof(f5753,plain,
k1_pcomps_1(sF537) = sF538,
inference(reorient_equations,[],[f5752]) ).
fof(f5754,plain,
element(sK531,sF538),
inference(definition_folding,[],[f5391,f5753,f5751]) ).
fof(f5755,plain,
element(sK532,sF537),
inference(definition_folding,[],[f4293,f5751]) ).
fof(f5756,definition,
sF539 = topstr_closure(sK530,sK531),
introduced(definition,[new_symbols(definition,[sF539])],[function_definition]) ).
fof(f5757,plain,
topstr_closure(sK530,sK531) = sF539,
inference(reorient_equations,[],[f5756]) ).
fof(f5758,plain,
! [X3] :
( ~ point_neighbourhood(X3,sK530,sK532)
| ~ disjoint(X3,sK531)
| in(sK532,sF539) ),
inference(definition_folding,[],[f4292,f5757]) ).
fof(f5759,plain,
( disjoint(sK533,sK531)
| ~ in(sK532,sF539) ),
inference(definition_folding,[],[f4291,f5757]) ).
fof(f5760,plain,
( point_neighbourhood(sK533,sK530,sK532)
| ~ in(sK532,sF539) ),
inference(definition_folding,[],[f4290,f5757]) ).
fof(f5879,plain,
! [X2,X0,X1] :
( in(X1,interior(X0,X2))
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ top_str(X0)
| ~ point_neighbourhood(X2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f4409,f4581]) ).
fof(f5884,plain,
! [X3,X0,X1,X4] :
( ~ top_str(X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| ~ element(X4,k1_pcomps_1(the_carrier(X0)))
| ~ disjoint(X1,X4)
| ~ in(X3,X4)
| ~ open_subset(X4,X0)
| ~ in(X3,topstr_closure(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f5435,f4576]) ).
fof(f5885,plain,
! [X3,X0,X1] :
( element(sK19(X0,X1,X3),k1_pcomps_1(the_carrier(X0)))
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| ~ top_str(X0)
| in(X3,topstr_closure(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f5434,f4576]) ).
fof(f5886,plain,
! [X3,X0,X1] :
( disjoint(X1,sK19(X0,X1,X3))
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| ~ top_str(X0)
| in(X3,topstr_closure(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f5433,f4576]) ).
fof(f5887,plain,
! [X3,X0,X1] :
( in(X3,sK19(X0,X1,X3))
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| ~ top_str(X0)
| in(X3,topstr_closure(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f5432,f4576]) ).
fof(f5888,plain,
! [X3,X0,X1] :
( open_subset(sK19(X0,X1,X3),X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ in(X3,the_carrier(X0))
| ~ top_str(X0)
| in(X3,topstr_closure(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f5431,f4576]) ).
fof(f5921,plain,
! [X3,X0,X1,X4] :
( ~ element(X4,k1_pcomps_1(the_carrier(X0)))
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ top_str(X0)
| ~ disjoint(X1,X4)
| ~ in(X3,X4)
| ~ open_subset(X4,X0)
| ~ in(X3,topstr_closure(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f5884,f4684]) ).
fof(f5924,definition,
( spl540_1
<=> in(sK532,sF539) ),
introduced(definition,[new_symbols(definition,[spl540_1])],[avatar_definition]) ).
fof(f5925,plain,
( ~ in(sK532,sF539)
| spl540_1 ),
inference(avatar_component_clause,[],[f5924]) ).
fof(f5927,definition,
( spl540_2
<=> point_neighbourhood(sK533,sK530,sK532) ),
introduced(definition,[new_symbols(definition,[spl540_2])],[avatar_definition]) ).
fof(f5928,plain,
( point_neighbourhood(sK533,sK530,sK532)
| ~ spl540_2 ),
inference(avatar_component_clause,[],[f5927]) ).
fof(f5929,plain,
( ~ spl540_1
| spl540_2 ),
inference(avatar_split_clause,[],[f5760,f5927,f5924]) ).
fof(f5930,plain,
( ! [X3] :
( ~ point_neighbourhood(X3,sK530,sK532)
| ~ disjoint(X3,sK531) )
| spl540_1 ),
inference(backward_subsumption_resolution,[],[f5758,f5925]) ).
fof(f5957,plain,
! [X0,X1] :
( element(X0,k1_pcomps_1(sF537))
| ~ top_str(sK530)
| ~ topological_space(sK530)
| empty_carrier(sK530)
| ~ point_neighbourhood(X0,sK530,X1)
| ~ element(X1,sF537) ),
inference(superposition,[],[f4581,f5751]) ).
fof(f5960,plain,
! [X0,X1] :
( element(X0,k1_pcomps_1(sF537))
| ~ topological_space(sK530)
| empty_carrier(sK530)
| ~ point_neighbourhood(X0,sK530,X1)
| ~ element(X1,sF537) ),
inference(forward_subsumption_resolution,[],[f5957,f4295]) ).
fof(f5961,plain,
! [X0,X1] :
( element(X0,k1_pcomps_1(sF537))
| empty_carrier(sK530)
| ~ point_neighbourhood(X0,sK530,X1)
| ~ element(X1,sF537) ),
inference(forward_subsumption_resolution,[],[f5960,f4296]) ).
fof(f5962,plain,
! [X0,X1] :
( element(X0,k1_pcomps_1(sF537))
| ~ point_neighbourhood(X0,sK530,X1)
| ~ element(X1,sF537) ),
inference(forward_subsumption_resolution,[],[f5961,f4297]) ).
fof(f5963,plain,
! [X0,X1] :
( ~ point_neighbourhood(X0,sK530,X1)
| element(X0,sF538)
| ~ element(X1,sF537) ),
inference(forward_demodulation,[],[f5962,f5753]) ).
fof(f5971,definition,
( spl540_3
<=> disjoint(sK533,sK531) ),
introduced(definition,[new_symbols(definition,[spl540_3])],[avatar_definition]) ).
fof(f5972,plain,
( disjoint(sK533,sK531)
| ~ spl540_3 ),
inference(avatar_component_clause,[],[f5971]) ).
fof(f5973,plain,
( ~ spl540_1
| spl540_3 ),
inference(avatar_split_clause,[],[f5759,f5971,f5924]) ).
fof(f6016,plain,
one_sorted_str(sK530),
inference(resolution,[],[f2423,f4295]) ).
fof(f6077,plain,
! [X2,X0,X1] :
( disjoint(sK19(X0,X1,X2),X1)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ in(X2,the_carrier(X0))
| ~ top_str(X0)
| in(X2,topstr_closure(X0,X1)) ),
inference(resolution,[],[f3943,f5886]) ).
fof(f6085,plain,
! [X0,X1] :
( element(sK19(sK530,X0,X1),k1_pcomps_1(sF537))
| ~ element(X0,k1_pcomps_1(sF537))
| ~ in(X1,sF537)
| ~ top_str(sK530)
| in(X1,topstr_closure(sK530,X0)) ),
inference(superposition,[],[f5885,f5751]) ).
fof(f6094,plain,
! [X0,X1] :
( element(sK19(sK530,X0,X1),k1_pcomps_1(sF537))
| ~ element(X0,k1_pcomps_1(sF537))
| ~ in(X1,sF537)
| in(X1,topstr_closure(sK530,X0)) ),
inference(forward_subsumption_resolution,[],[f6085,f4295]) ).
fof(f6097,plain,
! [X0,X1] :
( element(sK19(sK530,X0,X1),sF538)
| ~ element(X0,k1_pcomps_1(sF537))
| ~ in(X1,sF537)
| in(X1,topstr_closure(sK530,X0)) ),
inference(forward_demodulation,[],[f6094,f5753]) ).
fof(f6098,plain,
! [X0,X1] :
( element(sK19(sK530,X0,X1),sF538)
| ~ element(X0,sF538)
| ~ in(X1,sF537)
| in(X1,topstr_closure(sK530,X0)) ),
inference(forward_demodulation,[],[f6097,f5753]) ).
fof(f6121,definition,
( spl540_6
<=> ! [X1,X3] :
( ~ top_str(X1)
| interior(X1,X3) = X3
| ~ open_subset(X3,X1)
| ~ element(X3,k1_pcomps_1(the_carrier(X1))) ) ),
introduced(definition,[new_symbols(definition,[spl540_6])],[avatar_definition]) ).
fof(f6122,plain,
( ! [X3,X1] :
( ~ element(X3,k1_pcomps_1(the_carrier(X1)))
| interior(X1,X3) = X3
| ~ open_subset(X3,X1)
| ~ top_str(X1) )
| ~ spl540_6 ),
inference(avatar_component_clause,[],[f6121]) ).
fof(f6124,definition,
( spl540_7
<=> ! [X2,X0] :
( ~ top_str(X0)
| ~ element(X2,k1_pcomps_1(the_carrier(X0)))
| ~ topological_space(X0) ) ),
introduced(definition,[new_symbols(definition,[spl540_7])],[avatar_definition]) ).
fof(f6125,plain,
( ! [X2,X0] :
( ~ top_str(X0)
| ~ element(X2,k1_pcomps_1(the_carrier(X0)))
| ~ topological_space(X0) )
| ~ spl540_7 ),
inference(avatar_component_clause,[],[f6124]) ).
fof(f6126,plain,
( spl540_6
| spl540_7 ),
inference(avatar_split_clause,[],[f5377,f6124,f6121]) ).
fof(f6128,plain,
! [X2,X0,X1] :
( ~ element(X2,k1_pcomps_1(the_carrier(X1)))
| element(X0,the_carrier(X1))
| ~ top_str(X1)
| ~ in(X0,topstr_closure(X1,X2)) ),
inference(resolution,[],[f5366,f4576]) ).
fof(f6202,plain,
! [X2,X3,X0,X1] :
( ~ top_str(X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ element(X2,k1_pcomps_1(the_carrier(X0)))
| ~ top_str(X0)
| ~ disjoint(X2,interior(X0,X1))
| ~ in(X3,interior(X0,X1))
| ~ open_subset(interior(X0,X1),X0)
| ~ in(X3,topstr_closure(X0,X2)) ),
inference(resolution,[],[f4558,f5921]) ).
fof(f6205,plain,
! [X2,X0,X1] :
( ~ top_str(X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ in(X2,interior(X0,X1))
| element(X2,the_carrier(X0)) ),
inference(resolution,[],[f4558,f5366]) ).
fof(f6209,plain,
! [X2,X3,X0,X1] :
( ~ disjoint(X2,interior(X0,X1))
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ element(X2,k1_pcomps_1(the_carrier(X0)))
| ~ top_str(X0)
| ~ in(X3,interior(X0,X1))
| ~ open_subset(interior(X0,X1),X0)
| ~ in(X3,topstr_closure(X0,X2)) ),
inference(duplicate_literal_removal,[],[f6202]) ).
fof(f6216,plain,
! [X2,X0,X1] :
( ~ element(X2,k1_pcomps_1(the_carrier(X0)))
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ top_str(X0)
| ~ in(X1,interior(X0,X2))
| point_neighbourhood(X2,X0,X1) ),
inference(backward_subsumption_resolution,[],[f4410,f6205]) ).
fof(f6225,plain,
! [X0,X1] :
( ~ element(X0,k1_pcomps_1(sF537))
| ~ topological_space(sK530)
| empty_carrier(sK530)
| ~ top_str(sK530)
| ~ in(X1,interior(sK530,X0))
| point_neighbourhood(X0,sK530,X1) ),
inference(superposition,[],[f6216,f5751]) ).
fof(f6232,plain,
! [X0,X1] :
( ~ element(X0,k1_pcomps_1(sF537))
| empty_carrier(sK530)
| ~ top_str(sK530)
| ~ in(X1,interior(sK530,X0))
| point_neighbourhood(X0,sK530,X1) ),
inference(forward_subsumption_resolution,[],[f6225,f4296]) ).
fof(f6233,plain,
! [X0,X1] :
( ~ element(X0,k1_pcomps_1(sF537))
| ~ top_str(sK530)
| ~ in(X1,interior(sK530,X0))
| point_neighbourhood(X0,sK530,X1) ),
inference(forward_subsumption_resolution,[],[f6232,f4297]) ).
fof(f6234,plain,
! [X0,X1] :
( ~ element(X0,k1_pcomps_1(sF537))
| ~ in(X1,interior(sK530,X0))
| point_neighbourhood(X0,sK530,X1) ),
inference(forward_subsumption_resolution,[],[f6233,f4295]) ).
fof(f6235,plain,
! [X0,X1] :
( ~ in(X1,interior(sK530,X0))
| ~ element(X0,sF538)
| point_neighbourhood(X0,sK530,X1) ),
inference(forward_demodulation,[],[f6234,f5753]) ).
fof(f6546,plain,
( ! [X2,X0,X1] :
( sK19(X0,X1,X2) = interior(X0,sK19(X0,X1,X2))
| ~ open_subset(sK19(X0,X1,X2),X0)
| ~ top_str(X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ in(X2,the_carrier(X0))
| ~ top_str(X0)
| in(X2,topstr_closure(X0,X1)) )
| ~ spl540_6 ),
inference(resolution,[],[f6122,f5885]) ).
fof(f6551,plain,
( ! [X2,X0,X1] :
( sK19(X0,X1,X2) = interior(X0,sK19(X0,X1,X2))
| ~ open_subset(sK19(X0,X1,X2),X0)
| ~ top_str(X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ in(X2,the_carrier(X0))
| in(X2,topstr_closure(X0,X1)) )
| ~ spl540_6 ),
inference(duplicate_literal_removal,[],[f6546]) ).
fof(f6556,plain,
( ! [X2,X0,X1] :
( sK19(X0,X1,X2) = interior(X0,sK19(X0,X1,X2))
| ~ top_str(X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ in(X2,the_carrier(X0))
| in(X2,topstr_closure(X0,X1)) )
| ~ spl540_6 ),
inference(forward_subsumption_resolution,[],[f6551,f5888]) ).
fof(f6586,plain,
! [X0] :
( ~ element(X0,k1_pcomps_1(sF537))
| ~ topological_space(sK530)
| ~ top_str(sK530)
| open_subset(interior(sK530,X0),sK530) ),
inference(superposition,[],[f5372,f5751]) ).
fof(f6593,plain,
! [X0] :
( ~ element(X0,k1_pcomps_1(sF537))
| ~ top_str(sK530)
| open_subset(interior(sK530,X0),sK530) ),
inference(forward_subsumption_resolution,[],[f6586,f4296]) ).
fof(f6594,plain,
! [X0] :
( ~ element(X0,k1_pcomps_1(sF537))
| open_subset(interior(sK530,X0),sK530) ),
inference(forward_subsumption_resolution,[],[f6593,f4295]) ).
fof(f6595,plain,
! [X0] :
( open_subset(interior(sK530,X0),sK530)
| ~ element(X0,sF538) ),
inference(forward_demodulation,[],[f6594,f5753]) ).
fof(f6603,plain,
( ~ empty(sF537)
| empty_carrier(sK530)
| ~ one_sorted_str(sK530) ),
inference(superposition,[],[f2508,f5751]) ).
fof(f6605,plain,
( ~ empty(sF537)
| ~ one_sorted_str(sK530) ),
inference(forward_subsumption_resolution,[],[f6603,f4297]) ).
fof(f6606,plain,
~ empty(sF537),
inference(forward_subsumption_resolution,[],[f6605,f6016]) ).
fof(f6626,plain,
! [X0] :
( element(subset_complement(sF537,X0),sF538)
| ~ element(X0,sF538) ),
inference(superposition,[],[f4568,f5753]) ).
fof(f6732,plain,
( ! [X2,X0,X1] :
( ~ in(X2,sK19(sK530,X0,X1))
| ~ element(sK19(sK530,X0,X1),sF538)
| point_neighbourhood(sK19(sK530,X0,X1),sK530,X2)
| ~ top_str(sK530)
| ~ element(X0,k1_pcomps_1(the_carrier(sK530)))
| ~ in(X1,the_carrier(sK530))
| in(X1,topstr_closure(sK530,X0)) )
| ~ spl540_6 ),
inference(superposition,[],[f6235,f6556]) ).
fof(f6746,plain,
( ! [X2,X0,X1] :
( ~ in(X2,sK19(sK530,X0,X1))
| ~ element(sK19(sK530,X0,X1),sF538)
| point_neighbourhood(sK19(sK530,X0,X1),sK530,X2)
| ~ element(X0,k1_pcomps_1(the_carrier(sK530)))
| ~ in(X1,the_carrier(sK530))
| in(X1,topstr_closure(sK530,X0)) )
| ~ spl540_6 ),
inference(forward_subsumption_resolution,[],[f6732,f4295]) ).
fof(f6748,plain,
( ! [X2,X0,X1] :
( ~ element(X0,k1_pcomps_1(sF537))
| ~ in(X2,sK19(sK530,X0,X1))
| ~ element(sK19(sK530,X0,X1),sF538)
| point_neighbourhood(sK19(sK530,X0,X1),sK530,X2)
| ~ in(X1,the_carrier(sK530))
| in(X1,topstr_closure(sK530,X0)) )
| ~ spl540_6 ),
inference(forward_demodulation,[],[f6746,f5751]) ).
fof(f6750,plain,
( ! [X2,X0,X1] :
( ~ element(X0,sF538)
| ~ in(X2,sK19(sK530,X0,X1))
| ~ element(sK19(sK530,X0,X1),sF538)
| point_neighbourhood(sK19(sK530,X0,X1),sK530,X2)
| ~ in(X1,the_carrier(sK530))
| in(X1,topstr_closure(sK530,X0)) )
| ~ spl540_6 ),
inference(forward_demodulation,[],[f6748,f5753]) ).
fof(f6752,plain,
( ! [X2,X0,X1] :
( ~ in(X1,sF537)
| ~ element(X0,sF538)
| ~ in(X2,sK19(sK530,X0,X1))
| ~ element(sK19(sK530,X0,X1),sF538)
| point_neighbourhood(sK19(sK530,X0,X1),sK530,X2)
| in(X1,topstr_closure(sK530,X0)) )
| ~ spl540_6 ),
inference(forward_demodulation,[],[f6750,f5751]) ).
fof(f6754,plain,
( ! [X2,X0,X1] :
( point_neighbourhood(sK19(sK530,X0,X1),sK530,X2)
| ~ element(X0,sF538)
| ~ in(X2,sK19(sK530,X0,X1))
| ~ in(X1,sF537)
| in(X1,topstr_closure(sK530,X0)) )
| ~ spl540_6 ),
inference(forward_subsumption_resolution,[],[f6752,f6098]) ).
fof(f6796,plain,
! [X0] :
( ~ element(X0,k1_pcomps_1(sF537))
| ~ top_str(sK530)
| subset(interior(sK530,X0),X0) ),
inference(superposition,[],[f5350,f5751]) ).
fof(f6803,plain,
! [X0] :
( ~ element(X0,k1_pcomps_1(sF537))
| subset(interior(sK530,X0),X0) ),
inference(forward_subsumption_resolution,[],[f6796,f4295]) ).
fof(f6804,plain,
! [X0] :
( subset(interior(sK530,X0),X0)
| ~ element(X0,sF538) ),
inference(forward_demodulation,[],[f6803,f5753]) ).
fof(f6851,plain,
( in(sK532,sF537)
| empty(sF537) ),
inference(resolution,[],[f4108,f5755]) ).
fof(f6855,plain,
in(sK532,sF537),
inference(forward_subsumption_resolution,[],[f6851,f6606]) ).
fof(f6894,plain,
! [X0] :
( interior(sK530,X0) = subset_complement(sF537,topstr_closure(sK530,subset_complement(sF537,X0)))
| ~ element(X0,k1_pcomps_1(sF537))
| ~ top_str(sK530) ),
inference(superposition,[],[f4442,f5751]) ).
fof(f6910,plain,
! [X0] :
( interior(sK530,X0) = subset_complement(sF537,topstr_closure(sK530,subset_complement(sF537,X0)))
| ~ element(X0,k1_pcomps_1(sF537)) ),
inference(forward_subsumption_resolution,[],[f6894,f4295]) ).
fof(f6911,plain,
! [X0] :
( interior(sK530,X0) = subset_complement(sF537,topstr_closure(sK530,subset_complement(sF537,X0)))
| ~ element(X0,sF538) ),
inference(forward_demodulation,[],[f6910,f5753]) ).
fof(f6913,plain,
! [X0] :
( interior(sK530,subset_complement(sF537,X0)) = subset_complement(sF537,topstr_closure(sK530,X0))
| ~ element(subset_complement(sF537,X0),sF538)
| ~ element(X0,k1_pcomps_1(sF537)) ),
inference(superposition,[],[f6911,f4670]) ).
fof(f6928,plain,
! [X0] :
( ~ element(X0,sF538)
| interior(sK530,subset_complement(sF537,X0)) = subset_complement(sF537,topstr_closure(sK530,X0))
| ~ element(subset_complement(sF537,X0),sF538) ),
inference(forward_demodulation,[],[f6913,f5753]) ).
fof(f6929,plain,
! [X0] :
( interior(sK530,subset_complement(sF537,X0)) = subset_complement(sF537,topstr_closure(sK530,X0))
| ~ element(X0,sF538) ),
inference(forward_subsumption_resolution,[],[f6928,f6626]) ).
fof(f6940,plain,
! [X0,X1] :
( ~ element(X0,k1_pcomps_1(sF537))
| element(X1,sF537)
| ~ top_str(sK530)
| ~ in(X1,topstr_closure(sK530,X0)) ),
inference(superposition,[],[f6128,f5751]) ).
fof(f6947,plain,
! [X0,X1] :
( ~ element(X0,k1_pcomps_1(sF537))
| element(X1,sF537)
| ~ in(X1,topstr_closure(sK530,X0)) ),
inference(forward_subsumption_resolution,[],[f6940,f4295]) ).
fof(f6948,plain,
! [X0,X1] :
( ~ in(X1,topstr_closure(sK530,X0))
| element(X1,sF537)
| ~ element(X0,sF538) ),
inference(forward_demodulation,[],[f6947,f5753]) ).
fof(f6952,plain,
! [X0] :
( ~ in(X0,sF539)
| element(X0,sF537)
| ~ element(sK531,sF538) ),
inference(superposition,[],[f6948,f5757]) ).
fof(f6957,plain,
! [X0] :
( ~ in(X0,sF539)
| element(X0,sF537) ),
inference(forward_subsumption_resolution,[],[f6952,f5754]) ).
fof(f7012,plain,
( ! [X0,X1] :
( ~ disjoint(sK19(sK530,X0,X1),sK531)
| ~ in(sK532,sK19(sK530,X0,X1))
| ~ in(X1,sF537)
| in(X1,topstr_closure(sK530,X0))
| ~ element(X0,sF538) )
| spl540_1
| ~ spl540_6 ),
inference(resolution,[],[f6754,f5930]) ).
fof(f7847,plain,
( ! [X0] :
( ~ element(sK531,k1_pcomps_1(the_carrier(sK530)))
| ~ in(X0,the_carrier(sK530))
| ~ top_str(sK530)
| in(X0,topstr_closure(sK530,sK531))
| ~ in(sK532,sK19(sK530,sK531,X0))
| ~ in(X0,sF537)
| in(X0,topstr_closure(sK530,sK531))
| ~ element(sK531,sF538) )
| spl540_1
| ~ spl540_6 ),
inference(resolution,[],[f6077,f7012]) ).
fof(f7854,plain,
( ! [X0] :
( ~ element(sK531,k1_pcomps_1(the_carrier(sK530)))
| ~ in(X0,the_carrier(sK530))
| ~ top_str(sK530)
| in(X0,topstr_closure(sK530,sK531))
| ~ in(sK532,sK19(sK530,sK531,X0))
| ~ in(X0,sF537)
| ~ element(sK531,sF538) )
| spl540_1
| ~ spl540_6 ),
inference(duplicate_literal_removal,[],[f7847]) ).
fof(f7855,plain,
( ! [X0] :
( ~ element(sK531,k1_pcomps_1(the_carrier(sK530)))
| ~ in(X0,the_carrier(sK530))
| in(X0,topstr_closure(sK530,sK531))
| ~ in(sK532,sK19(sK530,sK531,X0))
| ~ in(X0,sF537)
| ~ element(sK531,sF538) )
| spl540_1
| ~ spl540_6 ),
inference(forward_subsumption_resolution,[],[f7854,f4295]) ).
fof(f7856,plain,
( ! [X0] :
( ~ element(sK531,k1_pcomps_1(the_carrier(sK530)))
| ~ in(X0,the_carrier(sK530))
| in(X0,topstr_closure(sK530,sK531))
| ~ in(sK532,sK19(sK530,sK531,X0))
| ~ in(X0,sF537) )
| spl540_1
| ~ spl540_6 ),
inference(forward_subsumption_resolution,[],[f7855,f5754]) ).
fof(f7857,plain,
( ! [X0] :
( ~ element(sK531,k1_pcomps_1(sF537))
| ~ in(X0,the_carrier(sK530))
| in(X0,topstr_closure(sK530,sK531))
| ~ in(sK532,sK19(sK530,sK531,X0))
| ~ in(X0,sF537) )
| spl540_1
| ~ spl540_6 ),
inference(forward_demodulation,[],[f7856,f5751]) ).
fof(f7858,plain,
( ! [X0] :
( ~ element(sK531,sF538)
| ~ in(X0,the_carrier(sK530))
| in(X0,topstr_closure(sK530,sK531))
| ~ in(sK532,sK19(sK530,sK531,X0))
| ~ in(X0,sF537) )
| spl540_1
| ~ spl540_6 ),
inference(forward_demodulation,[],[f7857,f5753]) ).
fof(f7859,plain,
( ! [X0] :
( ~ in(X0,the_carrier(sK530))
| in(X0,topstr_closure(sK530,sK531))
| ~ in(sK532,sK19(sK530,sK531,X0))
| ~ in(X0,sF537) )
| spl540_1
| ~ spl540_6 ),
inference(forward_subsumption_resolution,[],[f7858,f5754]) ).
fof(f7860,plain,
( ! [X0] :
( ~ in(X0,sF537)
| in(X0,topstr_closure(sK530,sK531))
| ~ in(sK532,sK19(sK530,sK531,X0))
| ~ in(X0,sF537) )
| spl540_1
| ~ spl540_6 ),
inference(forward_demodulation,[],[f7859,f5751]) ).
fof(f7861,plain,
( ! [X0] :
( ~ in(X0,sF537)
| in(X0,topstr_closure(sK530,sK531))
| ~ in(sK532,sK19(sK530,sK531,X0)) )
| spl540_1
| ~ spl540_6 ),
inference(duplicate_literal_removal,[],[f7860]) ).
fof(f7862,plain,
( ! [X0] :
( ~ in(sK532,sK19(sK530,sK531,X0))
| ~ in(X0,sF537)
| in(X0,sF539) )
| spl540_1
| ~ spl540_6 ),
inference(forward_demodulation,[],[f7861,f5757]) ).
fof(f7863,plain,
( ~ in(sK532,sF537)
| in(sK532,sF539)
| ~ element(sK531,k1_pcomps_1(the_carrier(sK530)))
| ~ in(sK532,the_carrier(sK530))
| ~ top_str(sK530)
| in(sK532,topstr_closure(sK530,sK531))
| spl540_1
| ~ spl540_6 ),
inference(resolution,[],[f7862,f5887]) ).
fof(f7864,plain,
( in(sK532,sF539)
| ~ element(sK531,k1_pcomps_1(the_carrier(sK530)))
| ~ in(sK532,the_carrier(sK530))
| ~ top_str(sK530)
| in(sK532,topstr_closure(sK530,sK531))
| spl540_1
| ~ spl540_6 ),
inference(forward_subsumption_resolution,[],[f7863,f6855]) ).
fof(f7865,plain,
( ~ element(sK531,k1_pcomps_1(the_carrier(sK530)))
| ~ in(sK532,the_carrier(sK530))
| ~ top_str(sK530)
| in(sK532,topstr_closure(sK530,sK531))
| spl540_1
| ~ spl540_6 ),
inference(forward_subsumption_resolution,[],[f7864,f5925]) ).
fof(f7866,plain,
( ~ element(sK531,k1_pcomps_1(the_carrier(sK530)))
| ~ in(sK532,the_carrier(sK530))
| in(sK532,topstr_closure(sK530,sK531))
| spl540_1
| ~ spl540_6 ),
inference(forward_subsumption_resolution,[],[f7865,f4295]) ).
fof(f7867,plain,
( ~ element(sK531,k1_pcomps_1(sF537))
| ~ in(sK532,the_carrier(sK530))
| in(sK532,topstr_closure(sK530,sK531))
| spl540_1
| ~ spl540_6 ),
inference(forward_demodulation,[],[f7866,f5751]) ).
fof(f7868,plain,
( ~ element(sK531,sF538)
| ~ in(sK532,the_carrier(sK530))
| in(sK532,topstr_closure(sK530,sK531))
| spl540_1
| ~ spl540_6 ),
inference(forward_demodulation,[],[f7867,f5753]) ).
fof(f7869,plain,
( ~ in(sK532,the_carrier(sK530))
| in(sK532,topstr_closure(sK530,sK531))
| spl540_1
| ~ spl540_6 ),
inference(forward_subsumption_resolution,[],[f7868,f5754]) ).
fof(f7870,plain,
( ~ in(sK532,sF537)
| in(sK532,topstr_closure(sK530,sK531))
| spl540_1
| ~ spl540_6 ),
inference(forward_demodulation,[],[f7869,f5751]) ).
fof(f7871,plain,
( in(sK532,topstr_closure(sK530,sK531))
| spl540_1
| ~ spl540_6 ),
inference(forward_subsumption_resolution,[],[f7870,f6855]) ).
fof(f7872,plain,
( in(sK532,sF539)
| spl540_1
| ~ spl540_6 ),
inference(forward_demodulation,[],[f7871,f5757]) ).
fof(f7873,plain,
( $false
| spl540_1
| ~ spl540_6 ),
inference(forward_subsumption_resolution,[],[f7872,f5925]) ).
fof(f7874,plain,
( spl540_1
| ~ spl540_6 ),
inference(avatar_contradiction_clause,[],[f7873]) ).
fof(f7885,plain,
( ! [X0] :
( ~ topological_space(X0)
| ~ top_str(X0) )
| ~ spl540_7 ),
inference(backward_subsumption_resolution,[],[f4703,f6125]) ).
fof(f7907,plain,
( ~ top_str(sK530)
| ~ spl540_7 ),
inference(resolution,[],[f7885,f4296]) ).
fof(f7909,plain,
( $false
| ~ spl540_7 ),
inference(forward_subsumption_resolution,[],[f7907,f4295]) ).
fof(f7910,plain,
~ spl540_7,
inference(avatar_contradiction_clause,[],[f7909]) ).
fof(f7916,plain,
( element(sK533,sF538)
| ~ element(sK532,sF537)
| ~ spl540_2 ),
inference(resolution,[],[f5928,f5963]) ).
fof(f7921,plain,
( element(sK533,sF538)
| ~ spl540_2 ),
inference(forward_subsumption_resolution,[],[f7916,f5755]) ).
fof(f7928,plain,
( in(sK532,sF539)
| ~ spl540_1 ),
inference(avatar_component_clause,[],[f5924]) ).
fof(f7933,plain,
( ! [X0] :
( ~ subset(X0,sK533)
| disjoint(X0,sK531) )
| ~ spl540_3 ),
inference(resolution,[],[f5972,f4273]) ).
fof(f8118,plain,
( disjoint(interior(sK530,sK533),sK531)
| ~ element(sK533,sF538)
| ~ spl540_3 ),
inference(resolution,[],[f7933,f6804]) ).
fof(f8119,plain,
( disjoint(interior(sK530,sK533),sK531)
| ~ spl540_2
| ~ spl540_3 ),
inference(forward_subsumption_resolution,[],[f8118,f7921]) ).
fof(f8121,plain,
( disjoint(sK531,interior(sK530,sK533))
| ~ spl540_2
| ~ spl540_3 ),
inference(resolution,[],[f8119,f3943]) ).
fof(f10203,plain,
! [X0] :
( open_subset(subset_complement(sF537,topstr_closure(sK530,X0)),sK530)
| ~ element(subset_complement(sF537,X0),sF538)
| ~ element(X0,sF538) ),
inference(superposition,[],[f6595,f6929]) ).
fof(f10210,plain,
! [X0,X1] :
( in(X1,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ topological_space(sK530)
| empty_carrier(sK530)
| ~ element(X1,the_carrier(sK530))
| ~ top_str(sK530)
| ~ point_neighbourhood(subset_complement(sF537,X0),sK530,X1)
| ~ element(X0,sF538) ),
inference(superposition,[],[f5879,f6929]) ).
fof(f10211,plain,
! [X2,X0,X1] :
( ~ disjoint(X1,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ element(subset_complement(sF537,X0),k1_pcomps_1(the_carrier(sK530)))
| ~ element(X1,k1_pcomps_1(the_carrier(sK530)))
| ~ top_str(sK530)
| ~ in(X2,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ open_subset(subset_complement(sF537,topstr_closure(sK530,X0)),sK530)
| ~ in(X2,topstr_closure(sK530,X1))
| ~ element(X0,sF538) ),
inference(superposition,[],[f6209,f6929]) ).
fof(f10225,plain,
! [X2,X0,X1] :
( ~ disjoint(X1,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ element(subset_complement(sF537,X0),k1_pcomps_1(the_carrier(sK530)))
| ~ element(X1,k1_pcomps_1(the_carrier(sK530)))
| ~ in(X2,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ open_subset(subset_complement(sF537,topstr_closure(sK530,X0)),sK530)
| ~ in(X2,topstr_closure(sK530,X1))
| ~ element(X0,sF538) ),
inference(forward_subsumption_resolution,[],[f10211,f4295]) ).
fof(f10226,plain,
! [X0,X1] :
( in(X1,subset_complement(sF537,topstr_closure(sK530,X0)))
| empty_carrier(sK530)
| ~ element(X1,the_carrier(sK530))
| ~ top_str(sK530)
| ~ point_neighbourhood(subset_complement(sF537,X0),sK530,X1)
| ~ element(X0,sF538) ),
inference(forward_subsumption_resolution,[],[f10210,f4296]) ).
fof(f10233,plain,
! [X0] :
( open_subset(subset_complement(sF537,topstr_closure(sK530,X0)),sK530)
| ~ element(X0,sF538) ),
inference(forward_subsumption_resolution,[],[f10203,f6626]) ).
fof(f10247,plain,
! [X2,X0,X1] :
( ~ element(subset_complement(sF537,X0),k1_pcomps_1(sF537))
| ~ disjoint(X1,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ element(X1,k1_pcomps_1(the_carrier(sK530)))
| ~ in(X2,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ open_subset(subset_complement(sF537,topstr_closure(sK530,X0)),sK530)
| ~ in(X2,topstr_closure(sK530,X1))
| ~ element(X0,sF538) ),
inference(forward_demodulation,[],[f10225,f5751]) ).
fof(f10248,plain,
! [X0,X1] :
( in(X1,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ element(X1,the_carrier(sK530))
| ~ top_str(sK530)
| ~ point_neighbourhood(subset_complement(sF537,X0),sK530,X1)
| ~ element(X0,sF538) ),
inference(forward_subsumption_resolution,[],[f10226,f4297]) ).
fof(f10251,plain,
! [X2,X0,X1] :
( ~ element(subset_complement(sF537,X0),k1_pcomps_1(sF537))
| ~ disjoint(X1,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ element(X1,k1_pcomps_1(the_carrier(sK530)))
| ~ in(X2,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ in(X2,topstr_closure(sK530,X1))
| ~ element(X0,sF538) ),
inference(forward_subsumption_resolution,[],[f10247,f10233]) ).
fof(f10252,plain,
! [X0,X1] :
( in(X1,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ element(X1,the_carrier(sK530))
| ~ point_neighbourhood(subset_complement(sF537,X0),sK530,X1)
| ~ element(X0,sF538) ),
inference(forward_subsumption_resolution,[],[f10248,f4295]) ).
fof(f10255,plain,
! [X2,X0,X1] :
( ~ element(subset_complement(sF537,X0),sF538)
| ~ disjoint(X1,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ element(X1,k1_pcomps_1(the_carrier(sK530)))
| ~ in(X2,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ in(X2,topstr_closure(sK530,X1))
| ~ element(X0,sF538) ),
inference(forward_demodulation,[],[f10251,f5753]) ).
fof(f10256,plain,
! [X0,X1] :
( in(X1,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ element(X1,sF537)
| ~ point_neighbourhood(subset_complement(sF537,X0),sK530,X1)
| ~ element(X0,sF538) ),
inference(forward_demodulation,[],[f10252,f5751]) ).
fof(f10259,plain,
! [X2,X0,X1] :
( ~ disjoint(X1,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ element(X1,k1_pcomps_1(the_carrier(sK530)))
| ~ in(X2,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ in(X2,topstr_closure(sK530,X1))
| ~ element(X0,sF538) ),
inference(forward_subsumption_resolution,[],[f10255,f6626]) ).
fof(f10261,plain,
! [X2,X0,X1] :
( ~ element(X1,k1_pcomps_1(sF537))
| ~ disjoint(X1,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ in(X2,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ in(X2,topstr_closure(sK530,X1))
| ~ element(X0,sF538) ),
inference(forward_demodulation,[],[f10259,f5751]) ).
fof(f10262,plain,
! [X2,X0,X1] :
( ~ disjoint(X1,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ element(X1,sF538)
| ~ in(X2,subset_complement(sF537,topstr_closure(sK530,X0)))
| ~ in(X2,topstr_closure(sK530,X1))
| ~ element(X0,sF538) ),
inference(forward_demodulation,[],[f10261,f5753]) ).
fof(f10269,plain,
! [X2,X0,X1] :
( ~ disjoint(X2,interior(sK530,X1))
| ~ element(X2,sF538)
| ~ in(X0,interior(sK530,X1))
| ~ in(X0,topstr_closure(sK530,X2))
| ~ element(subset_complement(sF537,X1),sF538)
| ~ element(X1,sF538) ),
inference(superposition,[],[f10262,f6911]) ).
fof(f10277,plain,
! [X2,X0,X1] :
( ~ disjoint(X2,interior(sK530,X1))
| ~ element(X2,sF538)
| ~ in(X0,interior(sK530,X1))
| ~ in(X0,topstr_closure(sK530,X2))
| ~ element(X1,sF538) ),
inference(forward_subsumption_resolution,[],[f10269,f6626]) ).
fof(f10815,plain,
! [X0,X1] :
( in(X1,interior(sK530,X0))
| ~ element(X1,sF537)
| ~ point_neighbourhood(subset_complement(sF537,subset_complement(sF537,X0)),sK530,X1)
| ~ element(subset_complement(sF537,X0),sF538)
| ~ element(X0,sF538) ),
inference(superposition,[],[f10256,f6911]) ).
fof(f10825,plain,
! [X0,X1] :
( ~ point_neighbourhood(subset_complement(sF537,subset_complement(sF537,X0)),sK530,X1)
| ~ element(X1,sF537)
| in(X1,interior(sK530,X0))
| ~ element(X0,sF538) ),
inference(forward_subsumption_resolution,[],[f10815,f6626]) ).
fof(f10870,plain,
! [X0,X1] :
( ~ point_neighbourhood(X0,sK530,X1)
| ~ element(X1,sF537)
| in(X1,interior(sK530,X0))
| ~ element(X0,sF538)
| ~ element(X0,k1_pcomps_1(sF537)) ),
inference(superposition,[],[f10825,f4670]) ).
fof(f10877,plain,
! [X0,X1] :
( ~ point_neighbourhood(X0,sK530,X1)
| ~ element(X1,sF537)
| in(X1,interior(sK530,X0))
| ~ element(X0,k1_pcomps_1(sF537)) ),
inference(forward_subsumption_resolution,[],[f10870,f5963]) ).
fof(f10885,plain,
! [X0,X1] :
( ~ element(X0,sF538)
| ~ point_neighbourhood(X0,sK530,X1)
| ~ element(X1,sF537)
| in(X1,interior(sK530,X0)) ),
inference(forward_demodulation,[],[f10877,f5753]) ).
fof(f10887,plain,
! [X0,X1] :
( in(X1,interior(sK530,X0))
| ~ element(X1,sF537)
| ~ point_neighbourhood(X0,sK530,X1) ),
inference(forward_subsumption_resolution,[],[f10885,f5963]) ).
fof(f12821,plain,
( ! [X0] :
( ~ element(sK531,sF538)
| ~ in(X0,interior(sK530,sK533))
| ~ in(X0,topstr_closure(sK530,sK531))
| ~ element(sK533,sF538) )
| ~ spl540_2
| ~ spl540_3 ),
inference(resolution,[],[f8121,f10277]) ).
fof(f12829,plain,
( ! [X0] :
( ~ in(X0,interior(sK530,sK533))
| ~ in(X0,topstr_closure(sK530,sK531))
| ~ element(sK533,sF538) )
| ~ spl540_2
| ~ spl540_3 ),
inference(forward_subsumption_resolution,[],[f12821,f5754]) ).
fof(f12833,plain,
( ! [X0] :
( ~ in(X0,interior(sK530,sK533))
| ~ in(X0,topstr_closure(sK530,sK531)) )
| ~ spl540_2
| ~ spl540_3 ),
inference(forward_subsumption_resolution,[],[f12829,f7921]) ).
fof(f12836,plain,
( ! [X0] :
( ~ in(X0,interior(sK530,sK533))
| ~ in(X0,sF539) )
| ~ spl540_2
| ~ spl540_3 ),
inference(forward_demodulation,[],[f12833,f5757]) ).
fof(f12843,plain,
( ! [X0] :
( ~ in(X0,sF539)
| ~ element(X0,sF537)
| ~ point_neighbourhood(sK533,sK530,X0) )
| ~ spl540_2
| ~ spl540_3 ),
inference(resolution,[],[f12836,f10887]) ).
fof(f12853,plain,
( ! [X0] :
( ~ point_neighbourhood(sK533,sK530,X0)
| ~ in(X0,sF539) )
| ~ spl540_2
| ~ spl540_3 ),
inference(forward_subsumption_resolution,[],[f12843,f6957]) ).
fof(f12856,plain,
( ~ in(sK532,sF539)
| ~ spl540_2
| ~ spl540_3 ),
inference(resolution,[],[f12853,f5928]) ).
fof(f12859,plain,
( $false
| ~ spl540_1
| ~ spl540_2
| ~ spl540_3 ),
inference(forward_subsumption_resolution,[],[f12856,f7928]) ).
fof(f12860,plain,
( ~ spl540_1
| ~ spl540_2
| ~ spl540_3 ),
inference(avatar_contradiction_clause,[],[f12859]) ).
cnf(s2446,plain,
( ~ spl540_1
| spl540_2 ),
inference(sat_conversion,[],[f5929]) ).
cnf(s2459,plain,
( ~ spl540_1
| spl540_3 ),
inference(sat_conversion,[],[f5973]) ).
cnf(s2522,plain,
( spl540_6
| spl540_7 ),
inference(sat_conversion,[],[f6126]) ).
cnf(s3274,plain,
( spl540_1
| ~ spl540_6 ),
inference(sat_conversion,[],[f7874]) ).
cnf(s3296,plain,
~ spl540_7,
inference(sat_conversion,[],[f7910]) ).
cnf(s5177,plain,
( ~ spl540_1
| ~ spl540_2
| ~ spl540_3 ),
inference(sat_conversion,[],[f12860]) ).
cnf(s5181,plain,
spl540_6,
inference(rat,[],[s2522,s3296]) ).
cnf(s5182,plain,
spl540_1,
inference(rat,[],[s3274,s5181]) ).
cnf(s5183,plain,
spl540_3,
inference(rat,[],[s2459,s5182]) ).
cnf(s5184,plain,
~ spl540_2,
inference(rat,[],[s5177,s5182,s5183]) ).
cnf(s5185,plain,
$false,
inference(rat,[],[s2446,s5184,s5182]) ).
fof(f12861,plain,
$false,
inference(avatar_sat_refutation,[],[s5185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU372+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n020.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 04:59:49 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 12.84/2.77 % (4033004)Detected formulas, will run a generic FOF schedule.
% 12.84/2.77 % (4033013)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2351808205:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.84/2.77 % (4033013)Instruction limit reached!
% 12.84/2.77 % (4033013)------------------------------
% 12.84/2.77 % (4033013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.84/2.77 % (4033013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.84/2.77 % (4033013)CaDiCaL version: 2.1.3
% 12.84/2.77 % (4033013)Termination reason: Instruction limit
% 12.84/2.77 % (4033013)Termination phase: Saturation
% 12.84/2.77 % (4033013)Time elapsed: 0.040 s
% 12.84/2.77 % (4033013)Peak memory usage: 91 MB
% 12.84/2.77 % (4033013)Instructions burned: 120 (million)
% 12.84/2.77 % (4033012)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3537240226:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.84/2.77 % (4033011)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=4207027151:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.84/2.77 % (4033009)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=48019916:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.84/2.77 % (4033010)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=1078361759:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.84/2.77 % (4033014)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2292575548:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.84/2.77 % (4033015)dis-21_1_sil=8000:lcm=predicate:random_seed=2545331989:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 12.84/2.77 % (4033012)Instruction limit reached!
% 12.84/2.77 % (4033012)------------------------------
% 12.84/2.77 % (4033012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.84/2.77 % (4033012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.84/2.77 % (4033012)CaDiCaL version: 2.1.3
% 12.84/2.77 % (4033012)Termination reason: Instruction limit
% 12.84/2.77 % (4033012)Termination phase: Blocked clause elimination
% 12.84/2.77 % (4033012)Time elapsed: 0.061 s
% 12.84/2.77 % (4033012)Peak memory usage: 90 MB
% 12.84/2.77 % (4033012)Instructions burned: 110 (million)
% 12.84/2.77 % (4033015)Instruction limit reached!
% 12.84/2.77 % (4033015)------------------------------
% 12.84/2.77 % (4033015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.84/2.77 % (4033015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.84/2.77 % (4033015)CaDiCaL version: 2.1.3
% 12.84/2.77 % (4033015)Termination reason: Instruction limit
% 12.84/2.77 % (4033015)Termination phase: Saturation
% 12.84/2.77 % (4033015)Time elapsed: 0.069 s
% 12.84/2.77 % (4033015)Peak memory usage: 92 MB
% 12.84/2.77 % (4033015)Instructions burned: 131 (million)
% 12.84/2.77 % (4033014)Instruction limit reached!
% 12.84/2.77 % (4033014)------------------------------
% 12.84/2.77 % (4033014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.84/2.77 % (4033014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.84/2.77 % (4033014)CaDiCaL version: 2.1.3
% 12.84/2.77 % (4033014)Termination reason: Instruction limit
% 12.84/2.77 % (4033014)Termination phase: Saturation
% 12.84/2.77 % (4033014)Time elapsed: 0.085 s
% 12.84/2.77 % (4033014)Peak memory usage: 92 MB
% 12.84/2.77 % (4033014)Instructions burned: 139 (million)
% 12.84/2.77 % (4033021)lrs+10_1_sil=8000:sp=occurrence:random_seed=3236067724:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 12.84/2.77 % (4033021)Instruction limit reached!
% 12.84/2.77 % (4033021)------------------------------
% 12.84/2.77 % (4033021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.84/2.77 % (4033021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.84/2.77 % (4033021)CaDiCaL version: 2.1.3
% 12.84/2.77 % (4033021)Termination reason: Instruction limit
% 12.84/2.77 % (4033021)Termination phase: Saturation
% 12.84/2.77 % (4033021)Time elapsed: 0.099 s
% 12.84/2.77 % (4033021)Peak memory usage: 95 MB
% 12.84/2.77 % (4033021)Instructions burned: 287 (million)
% 19.80/3.77 % (4033025)lrs+1011_1_sil=32000:sp=occurrence:random_seed=908197552:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 19.80/3.77 % (4033024)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1000296031:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 19.80/3.77 % (4033026)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=3947505744:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 19.80/3.77 % (4033024)Instruction limit reached!
% 19.80/3.77 % (4033024)------------------------------
% 19.80/3.77 % (4033024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/3.77 % (4033024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.77 % (4033024)CaDiCaL version: 2.1.3
% 19.80/3.77 % (4033024)Termination reason: Instruction limit
% 19.80/3.77 % (4033024)Termination phase: Saturation
% 19.80/3.77 % (4033024)Time elapsed: 0.097 s
% 19.80/3.77 % (4033024)Peak memory usage: 91 MB
% 19.80/3.77 % (4033024)Instructions burned: 157 (million)
% 19.80/3.77 % (4033030)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=363885528:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 19.80/3.77 % (4033026)Instruction limit reached!
% 19.80/3.77 % (4033026)------------------------------
% 19.80/3.77 % (4033026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/3.77 % (4033026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.77 % (4033026)CaDiCaL version: 2.1.3
% 19.80/3.77 % (4033026)Termination reason: Instruction limit
% 19.80/3.77 % (4033026)Termination phase: Saturation
% 19.80/3.77 % (4033026)Time elapsed: 0.154 s
% 19.80/3.77 % (4033026)Peak memory usage: 94 MB
% 19.80/3.77 % (4033026)Instructions burned: 249 (million)
% 19.80/3.77 % (4033030)Instruction limit reached!
% 19.80/3.77 % (4033030)------------------------------
% 19.80/3.77 % (4033030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/3.77 % (4033030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.77 % (4033030)CaDiCaL version: 2.1.3
% 19.80/3.77 % (4033030)Termination reason: Instruction limit
% 19.80/3.77 % (4033030)Termination phase: Saturation
% 19.80/3.77 % (4033030)Time elapsed: 0.095 s
% 19.80/3.77 % (4033030)Peak memory usage: 93 MB
% 19.80/3.77 % (4033030)Instructions burned: 296 (million)
% 19.80/3.77 % (4033025)Instruction limit reached!
% 19.80/3.77 % (4033025)------------------------------
% 19.80/3.77 % (4033025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/3.77 % (4033025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.77 % (4033025)CaDiCaL version: 2.1.3
% 19.80/3.77 % (4033025)Termination reason: Instruction limit
% 19.80/3.77 % (4033025)Termination phase: Saturation
% 19.80/3.77 % (4033025)Time elapsed: 0.216 s
% 19.80/3.77 % (4033025)Peak memory usage: 95 MB
% 19.80/3.77 % (4033025)Instructions burned: 325 (million)
% 19.80/3.77 % (4033032)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=976891662:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 19.80/3.77 % (4033035)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3046663672:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 19.80/3.77 % (4033034)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3972458330:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 19.80/3.77 % (4033035)Instruction limit reached!
% 19.80/3.77 % (4033035)------------------------------
% 19.80/3.77 % (4033035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/3.77 % (4033035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.77 % (4033035)CaDiCaL version: 2.1.3
% 19.80/3.77 % (4033035)Termination reason: Instruction limit
% 19.80/3.77 % (4033035)Termination phase: Property scanning
% 19.80/3.77 % (4033035)Time elapsed: 0.038 s
% 19.80/3.77 % (4033035)Peak memory usage: 90 MB
% 19.80/3.77 % (4033035)Instructions burned: 130 (million)
% 19.80/3.77 % (4033036)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1880131229:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 19.80/3.77 % (4033034)Instruction limit reached!
% 19.80/3.77 % (4033034)------------------------------
% 19.80/3.77 % (4033034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.86/6.34 % (4033034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.86/6.34 % (4033034)CaDiCaL version: 2.1.3
% 38.86/6.34 % (4033034)Termination reason: Instruction limit
% 38.86/6.34 % (4033034)Termination phase: Saturation
% 38.86/6.34 % (4033034)Time elapsed: 0.065 s
% 38.86/6.34 % (4033034)Peak memory usage: 92 MB
% 38.86/6.34 % (4033034)Instructions burned: 114 (million)
% 38.86/6.34 % (4033036)Instruction limit reached!
% 38.86/6.34 % (4033036)------------------------------
% 38.86/6.34 % (4033036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.86/6.34 % (4033036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.86/6.34 % (4033036)CaDiCaL version: 2.1.3
% 38.86/6.34 % (4033036)Termination reason: Instruction limit
% 38.86/6.34 % (4033036)Termination phase: Saturation
% 38.86/6.34 % (4033036)Time elapsed: 0.069 s
% 38.86/6.34 % (4033036)Peak memory usage: 90 MB
% 38.86/6.34 % (4033036)Instructions burned: 115 (million)
% 38.86/6.34 % (4033040)lrs+10_1_sil=8000:sp=occurrence:random_seed=4228002505:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 38.86/6.34 % (4033042)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3611106678:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 38.86/6.35 % (4033043)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=93149315:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 38.86/6.35 % (4033040)Instruction limit reached!
% 38.86/6.35 % (4033040)------------------------------
% 38.86/6.35 % (4033040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.86/6.35 % (4033040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.86/6.35 % (4033040)CaDiCaL version: 2.1.3
% 38.86/6.35 % (4033040)Termination reason: Instruction limit
% 38.86/6.35 % (4033040)Termination phase: Saturation
% 38.86/6.35 % (4033040)Time elapsed: 0.311 s
% 38.86/6.35 % (4033040)Peak memory usage: 105 MB
% 38.86/6.35 % (4033040)Instructions burned: 907 (million)
% 38.86/6.35 % (4033042)Instruction limit reached!
% 38.86/6.35 % (4033042)------------------------------
% 38.86/6.35 % (4033042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.86/6.35 % (4033042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.86/6.35 % (4033042)CaDiCaL version: 2.1.3
% 38.86/6.35 % (4033042)Termination reason: Instruction limit
% 38.86/6.35 % (4033042)Termination phase: Saturation
% 38.86/6.35 % (4033042)Time elapsed: 0.268 s
% 38.86/6.35 % (4033042)Peak memory usage: 96 MB
% 38.86/6.35 % (4033042)Instructions burned: 438 (million)
% 38.86/6.35 % (4033047)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3571612053:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 38.86/6.35 % (4033047)Instruction limit reached!
% 38.86/6.35 % (4033047)------------------------------
% 38.86/6.35 % (4033047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.86/6.35 % (4033047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.86/6.35 % (4033047)CaDiCaL version: 2.1.3
% 38.86/6.35 % (4033047)Termination reason: Instruction limit
% 38.86/6.35 % (4033047)Termination phase: Saturation
% 38.86/6.35 % (4033047)Time elapsed: 0.037 s
% 38.86/6.35 % (4033047)Peak memory usage: 91 MB
% 38.86/6.35 % (4033047)Instructions burned: 136 (million)
% 38.86/6.35 % (4033048)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3363089812:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 38.86/6.35 % (4033051)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2711107171:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 38.86/6.35 % (4033048)Instruction limit reached!
% 38.86/6.35 % (4033048)------------------------------
% 38.86/6.35 % (4033048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.86/6.35 % (4033048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.86/6.35 % (4033048)CaDiCaL version: 2.1.3
% 38.86/6.35 % (4033048)Termination reason: Instruction limit
% 38.86/6.35 % (4033048)Termination phase: Saturation
% 38.86/6.35 % (4033048)Time elapsed: 0.347 s
% 38.86/6.35 % (4033048)Peak memory usage: 100 MB
% 38.86/6.35 % (4033048)Instructions burned: 592 (million)
% 38.86/6.35 % (4033053)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=1373395434:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 38.86/6.35 % (4033053)Instruction limit reached!
% 38.86/6.35 % (4033053)------------------------------
% 38.86/6.35 % (4033053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.86/6.35 % (4033053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.86/6.35 % (4033053)CaDiCaL version: 2.1.3
% 38.86/6.35 % (4033053)Termination reason: Instruction limit
% 38.86/6.35 % (4033053)Termination phase: Saturation
% 38.86/6.35 % (4033053)Time elapsed: 0.080 s
% 38.86/6.35 % (4033053)Peak memory usage: 92 MB
% 38.86/6.35 % (4033053)Instructions burned: 125 (million)
% 38.86/6.35 % (4033032)Instruction limit reached!
% 38.86/6.35 % (4033032)------------------------------
% 38.86/6.35 % (4033032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.86/6.35 % (4033032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.86/6.35 % (4033032)CaDiCaL version: 2.1.3
% 38.86/6.35 % (4033032)Termination reason: Instruction limit
% 38.86/6.35 % (4033032)Termination phase: Saturation
% 38.86/6.35 % (4033032)Time elapsed: 1.475 s
% 38.86/6.35 % (4033032)Peak memory usage: 148 MB
% 38.86/6.35 % (4033032)Instructions burned: 2352 (million)
% 38.86/6.35 % (4033055)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1511596716:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 38.86/6.35 % (4033055)Instruction limit reached!
% 38.86/6.35 % (4033055)------------------------------
% 38.86/6.35 % (4033055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.86/6.35 % (4033055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.86/6.35 % (4033055)CaDiCaL version: 2.1.3
% 38.86/6.35 % (4033055)Termination reason: Instruction limit
% 38.86/6.35 % (4033055)Termination phase: Saturation
% 38.86/6.35 % (4033055)Time elapsed: 0.071 s
% 38.86/6.35 % (4033055)Peak memory usage: 92 MB
% 38.86/6.35 % (4033055)Instructions burned: 135 (million)
% 38.86/6.35 % (4033057)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4051583332:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 38.86/6.35 % (4033057)Instruction limit reached!
% 38.86/6.35 % (4033057)------------------------------
% 38.86/6.35 % (4033057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.86/6.35 % (4033057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.86/6.35 % (4033057)CaDiCaL version: 2.1.3
% 38.86/6.35 % (4033057)Termination reason: Instruction limit
% 38.86/6.35 % (4033057)Termination phase: Saturation
% 38.86/6.35 % (4033057)Time elapsed: 0.072 s
% 38.86/6.35 % (4033057)Peak memory usage: 92 MB
% 38.86/6.35 % (4033057)Instructions burned: 141 (million)
% 38.86/6.35 % (4033058)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2530118292:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 38.86/6.35 % (4033060)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=4118282814:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 38.86/6.35 % (4033058)Instruction limit reached!
% 38.86/6.35 % (4033058)------------------------------
% 38.86/6.35 % (4033058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.86/6.35 % (4033058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.86/6.35 % (4033058)CaDiCaL version: 2.1.3
% 38.86/6.35 % (4033058)Termination reason: Instruction limit
% 38.86/6.35 % (4033058)Termination phase: Saturation
% 38.86/6.35 % (4033058)Time elapsed: 0.259 s
% 38.86/6.35 % (4033058)Peak memory usage: 96 MB
% 38.86/6.35 % (4033058)Instructions burned: 432 (million)
% 38.86/6.35 % (4033063)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=2367983040:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 38.86/6.35 % (4033063)Instruction limit reached!
% 38.86/6.35 % (4033063)------------------------------
% 38.86/6.35 % (4033063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.86/6.35 % (4033063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.86/6.35 % (4033063)CaDiCaL version: 2.1.3
% 38.86/6.35 % (4033063)Termination reason: Instruction limit
% 38.86/6.35 % (4033063)Termination phase: Saturation
% 38.86/6.35 % (4033063)Time elapsed: 0.082 s
% 38.86/6.35 % (4033063)Peak memory usage: 92 MB
% 38.86/6.35 % (4033063)Instructions burned: 151 (million)
% 38.86/6.35 % (4033065)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3310795776:i=14155:bd=all_2970 on theBenchmark for (2970ds/14155Mi)
% 38.86/6.35 % (4033043)Instruction limit reached!
% 38.86/6.35 % (4033043)------------------------------
% 38.86/6.35 % (4033043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.86/6.35 % (4033043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.86/6.35 % (4033043)CaDiCaL version: 2.1.3
% 38.86/6.35 % (4033043)Termination reason: Instruction limit
% 38.86/6.35 % (4033043)Termination phase: Saturation
% 38.86/6.35 % (4033043)Time elapsed: 2.635 s
% 38.86/6.35 % (4033043)Peak memory usage: 158 MB
% 38.86/6.35 % (4033043)Instructions burned: 5203 (million)
% 38.86/6.35 % (4033067)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2053934271:i=667:av=off:fsr=off_2963 on theBenchmark for (2963ds/667Mi)
% 38.86/6.35 % (4033067)Instruction limit reached!
% 38.86/6.35 % (4033067)------------------------------
% 38.86/6.35 % (4033067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.86/6.35 % (4033067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.86/6.35 % (4033067)CaDiCaL version: 2.1.3
% 38.86/6.35 % (4033067)Termination reason: Instruction limit
% 38.86/6.35 % (4033067)Termination phase: Saturation
% 38.86/6.35 % (4033067)Time elapsed: 0.323 s
% 38.86/6.35 % (4033067)Peak memory usage: 94 MB
% 38.86/6.35 % (4033067)Instructions burned: 667 (million)
% 38.86/6.35 % (4033069)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=2093117860:s2a=on:i=185:s2at=1.8:fdi=4_2958 on theBenchmark for (2958ds/185Mi)
% 38.86/6.35 % (4033069)Instruction limit reached!
% 38.86/6.35 % (4033069)------------------------------
% 38.86/6.35 % (4033069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.86/6.35 % (4033069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.86/6.35 % (4033069)CaDiCaL version: 2.1.3
% 38.86/6.35 % (4033069)Termination reason: Instruction limit
% 38.86/6.35 % (4033069)Termination phase: Saturation
% 38.86/6.35 % (4033069)Time elapsed: 0.098 s
% 38.86/6.35 % (4033069)Peak memory usage: 93 MB
% 38.86/6.35 % (4033069)Instructions burned: 187 (million)
% 38.86/6.35 % (4033071)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=4044404561:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2955 on theBenchmark for (2955ds/193Mi)
% 38.86/6.35 % (4033071)Instruction limit reached!
% 38.86/6.35 % (4033071)------------------------------
% 38.86/6.35 % (4033071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.86/6.35 % (4033071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.86/6.35 % (4033071)CaDiCaL version: 2.1.3
% 38.86/6.35 % (4033071)Termination reason: Instruction limit
% 38.86/6.35 % (4033071)Termination phase: Saturation
% 38.86/6.35 % (4033071)Time elapsed: 0.109 s
% 38.86/6.35 % (4033071)Peak memory usage: 95 MB
% 38.86/6.35 % (4033071)Instructions burned: 194 (million)
% 38.86/6.35 % (4033073)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3827565625:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2952 on theBenchmark for (2952ds/4850Mi)
% 38.86/6.35 % (4033060)First to succeed.
% 38.86/6.35 % (4033060)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4033004"
% 38.86/6.35 % (4033060)Refutation found. Thanks to Tanya!
% 38.86/6.35 % SZS status Theorem for theBenchmark
% 38.86/6.35 % SZS output start Proof for theBenchmark
% See solution above
% 39.35/6.54 % (4033060)------------------------------
% 39.35/6.54 % (4033060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.35/6.54 % (4033060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.35/6.54 % (4033060)CaDiCaL version: 2.1.3
% 39.35/6.54 % (4033060)Termination reason: Refutation
% 39.35/6.54 % (4033060)Time elapsed: 2.647 s
% 39.35/6.54 % (4033060)Peak memory usage: 169 MB
% 39.35/6.54 % (4033060)Instructions burned: 4127 (million)
% 39.35/6.54 % (4033060)------------------------------
% 39.35/6.54 % (4033060)------------------------------
% 39.35/6.54 % (4033004)Success in time 5.496 s
% 39.35/6.54 % Vampire exiting
%------------------------------------------------------------------------------