%------------------------------------------------------------------------------
% File : Toma---0.7
% Problem : SEU323-10 : TPTP v9.0.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n010.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 : Tue Jul 15 07:55:14 AM UTC 2025
% Result : Unsatisfiable 250.45s 250.62s
% Output : CNFRefutation 250.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 18 ( 18 unt; 0 nHn; 11 RR)
% Number of literals : 18 ( 17 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-4 aty)
% Number of variables : 16 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,negated_conjecture,
open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) != true,
file('theBenchmark.p',t51_tops_1_3) ).
cnf(c3,axiom,
top_str(sK2_t51_tops_1_A) = true,
file('theBenchmark.p',t51_tops_1) ).
cnf(c4,axiom,
topological_space(sK2_t51_tops_1_A) = true,
file('theBenchmark.p',t51_tops_1_1) ).
cnf(c7,axiom,
ifeq2(X,X,Y,Z) = Y,
file('theBenchmark.p',ifeq_axiom) ).
cnf(c8,axiom,
ifeq(X,X,Y,Z) = Y,
file('theBenchmark.p',ifeq_axiom_001) ).
cnf(c9,axiom,
element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = true,
file('theBenchmark.p',t51_tops_1_2) ).
cnf(c24,axiom,
ifeq(element(X,powerset(Y)),true,element(subset_complement(Y,X),powerset(Y)),true) = true,
file('theBenchmark.p',dt_k3_subset_1) ).
cnf(c29,plain,
element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))) = true,
inference(equational,[status(thm)],[c8,c9,c24]) ).
cnf(c302,axiom,
ifeq(element(X,powerset(the_carrier(Y))),true,ifeq(top_str(Y),true,element(topstr_closure(Y,X),powerset(the_carrier(Y))),true),true) = true,
file('theBenchmark.p',dt_k6_pre_topc) ).
cnf(c318,plain,
element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))) = true,
inference(equational,[status(thm)],[c3,c8,c29,c302]) ).
cnf(c4049,axiom,
ifeq(element(X,powerset(the_carrier(Y))),true,ifeq(topological_space(Y),true,ifeq(top_str(Y),true,closed_subset(topstr_closure(Y,X),Y),true),true),true) = true,
file('theBenchmark.p',fc2_tops_1) ).
cnf(c4055,plain,
closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) = true,
inference(equational,[status(thm)],[c3,c4,c8,c29,c4049]) ).
cnf(c14196,axiom,
ifeq2(element(X,powerset(the_carrier(Y))),true,ifeq2(top_str(Y),true,subset_complement(the_carrier(Y),topstr_closure(Y,subset_complement(the_carrier(Y),X))),interior(Y,X)),interior(Y,X)) = interior(Y,X),
file('theBenchmark.p',d1_tops_1) ).
cnf(c14198,plain,
subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),
inference(equational,[status(thm)],[c3,c7,c9,c14196]) ).
cnf(c26591,axiom,
ifeq(element(X,powerset(the_carrier(Y))),true,ifeq(closed_subset(X,Y),true,ifeq(topological_space(Y),true,ifeq(top_str(Y),true,open_subset(subset_complement(the_carrier(Y),X),Y),true),true),true),true) = true,
file('theBenchmark.p',fc3_tops_1) ).
cnf(c26592,plain,
open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) = true,
inference(equational,[status(thm)],[c3,c4,c8,c318,c4055,c14198,c26591]) ).
cnf(g1,plain,
open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) = true,
inference(equational,[status(thm)],[c26592]) ).
cnf(g2,plain,
$false,
inference(resolution,[status(thm)],[g0,g1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU323-10 : TPTP v9.0.0. Released v7.3.0.
% 0.00/0.10 % Command : run_Leo-III %s %d THM
% 0.10/0.31 % Computer : n010.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Jul 14 18:20:34 EDT 2025
% 0.10/0.31 % CPUTime :
% 250.45/250.62 % SZS status Unsatisfiable
% 250.45/250.62 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------