TSTP Solution File: SEU323-10 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : SEU323-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n013.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 26 07:14:38 EDT 2022
% Result : Unsatisfiable 35.34s 35.52s
% Output : CNFRefutation 35.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of clauses : 46 ( 46 unt; 0 nHn; 34 RR)
% Number of literals : 46 ( 45 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 5 con; 0-4 aty)
% Number of variables : 22 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
A = ifeq2(B,B,A,C),
file('/tmp/MaedMax_24867') ).
cnf(eq_1,axiom,
A = ifeq(B,B,A,C),
file('/tmp/MaedMax_24867') ).
cnf(eq_2,axiom,
ifeq(element(A,powerset(the_carrier(B))),true,ifeq(closed_subset(A,B),true,ifeq(topological_space(B),true,ifeq(top_str(B),true,open_subset(subset_complement(the_carrier(B),A),B),true),true),true),true) = true,
file('/tmp/MaedMax_24867') ).
cnf(eq_3,axiom,
ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(sK7_rc6_pre_topc_B(A),A),true),true) = true,
file('/tmp/MaedMax_24867') ).
cnf(eq_4,axiom,
true = one_sorted_str(sK6_existence_l1_struct_0_A),
file('/tmp/MaedMax_24867') ).
cnf(eq_5,axiom,
ifeq(element(A,powerset(B)),true,element(subset_complement(B,A),powerset(B)),true) = true,
file('/tmp/MaedMax_24867') ).
cnf(eq_6,axiom,
ifeq(element(A,powerset(the_carrier(B))),true,ifeq(top_str(B),true,element(topstr_closure(B,A),powerset(the_carrier(B))),true),true) = true,
file('/tmp/MaedMax_24867') ).
cnf(eq_7,axiom,
ifeq(element(A,powerset(the_carrier(B))),true,ifeq(topological_space(B),true,ifeq(top_str(B),true,closed_subset(topstr_closure(B,A),B),true),true),true) = true,
file('/tmp/MaedMax_24867') ).
cnf(eq_8,axiom,
true = top_str(sK5_existence_l1_pre_topc_A),
file('/tmp/MaedMax_24867') ).
cnf(eq_9,axiom,
ifeq(top_str(A),true,one_sorted_str(A),true) = true,
file('/tmp/MaedMax_24867') ).
cnf(eq_10,axiom,
ifeq2(element(A,powerset(the_carrier(B))),true,ifeq2(top_str(B),true,subset_complement(the_carrier(B),topstr_closure(B,subset_complement(the_carrier(B),A))),interior(B,A)),interior(B,A)) = interior(B,A),
file('/tmp/MaedMax_24867') ).
cnf(eq_11,axiom,
true = top_str(sK2_t51_tops_1_A),
file('/tmp/MaedMax_24867') ).
cnf(eq_12,axiom,
true = topological_space(sK2_t51_tops_1_A),
file('/tmp/MaedMax_24867') ).
cnf(eq_13,axiom,
element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = true,
file('/tmp/MaedMax_24867') ).
cnf(eq_14,negated_conjecture,
true != open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),
file('/tmp/MaedMax_24867') ).
cnf(eq_15,plain,
element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = top_str(sK5_existence_l1_pre_topc_A),
inference(rw,[status(thm)],[eq_8,eq_13]) ).
cnf(eq_16,plain,
element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = top_str(sK2_t51_tops_1_A),
inference(rw,[status(thm)],[eq_11,eq_13]) ).
cnf(eq_17,plain,
element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = one_sorted_str(sK6_existence_l1_struct_0_A),
inference(rw,[status(thm)],[eq_4,eq_13]) ).
cnf(eq_18,plain,
ifeq2(element(A,powerset(the_carrier(B))),topological_space(sK2_t51_tops_1_A),ifeq2(top_str(B),topological_space(sK2_t51_tops_1_A),subset_complement(the_carrier(B),topstr_closure(B,subset_complement(the_carrier(B),A))),interior(B,A)),interior(B,A)) = interior(B,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_10,eq_12]),eq_12]) ).
cnf(eq_19,plain,
ifeq(top_str(A),topological_space(sK2_t51_tops_1_A),one_sorted_str(A),topological_space(sK2_t51_tops_1_A)) = topological_space(sK2_t51_tops_1_A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_12]),eq_12]),eq_12]) ).
cnf(eq_20,plain,
topological_space(sK2_t51_tops_1_A) = top_str(sK2_t51_tops_1_A),
inference(rw,[status(thm)],[eq_11,eq_12]) ).
cnf(eq_21,plain,
ifeq(topological_space(A),topological_space(sK2_t51_tops_1_A),ifeq(top_str(A),topological_space(sK2_t51_tops_1_A),closed_subset(sK7_rc6_pre_topc_B(A),A),topological_space(sK2_t51_tops_1_A)),topological_space(sK2_t51_tops_1_A)) = topological_space(sK2_t51_tops_1_A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_3,eq_12]),eq_12]),eq_12]),eq_12]),eq_12]) ).
cnf(eq_22,negated_conjecture,
topological_space(sK2_t51_tops_1_A) != open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),
inference(rw,[status(thm)],[eq_14,eq_12]) ).
cnf(eq_23,plain,
top_str(sK5_existence_l1_pre_topc_A) = top_str(sK2_t51_tops_1_A),
inference(cp,[status(thm)],[eq_15,eq_16]) ).
cnf(eq_24,plain,
ifeq(topological_space(sK2_t51_tops_1_A),topological_space(sK2_t51_tops_1_A),one_sorted_str(sK2_t51_tops_1_A),topological_space(sK2_t51_tops_1_A)) = topological_space(sK2_t51_tops_1_A),
inference(cp,[status(thm)],[eq_20,eq_19]) ).
cnf(eq_25,plain,
topological_space(sK2_t51_tops_1_A) = one_sorted_str(sK2_t51_tops_1_A),
inference(rw,[status(thm)],[eq_24,eq_1]) ).
cnf(eq_26,plain,
top_str(sK2_t51_tops_1_A) = one_sorted_str(sK2_t51_tops_1_A),
inference(rw,[status(thm)],[eq_25,eq_20]) ).
cnf(eq_27,plain,
one_sorted_str(sK6_existence_l1_struct_0_A) = one_sorted_str(sK2_t51_tops_1_A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_4,eq_8]),eq_23]),eq_26]) ).
cnf(eq_28,plain,
element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = one_sorted_str(sK2_t51_tops_1_A),
inference(rw,[status(thm)],[eq_17,eq_27]) ).
cnf(eq_29,plain,
topological_space(sK2_t51_tops_1_A) = ifeq(top_str(sK2_t51_tops_1_A),topological_space(sK2_t51_tops_1_A),closed_subset(sK7_rc6_pre_topc_B(sK2_t51_tops_1_A),sK2_t51_tops_1_A),topological_space(sK2_t51_tops_1_A)),
inference(cp,[status(thm)],[eq_21,eq_1]) ).
cnf(eq_30,plain,
ifeq2(one_sorted_str(sK2_t51_tops_1_A),topological_space(sK2_t51_tops_1_A),ifeq2(top_str(sK2_t51_tops_1_A),topological_space(sK2_t51_tops_1_A),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)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),
inference(cp,[status(thm)],[eq_28,eq_18]) ).
cnf(eq_31,plain,
closed_subset(sK7_rc6_pre_topc_B(sK2_t51_tops_1_A),sK2_t51_tops_1_A) = topological_space(sK2_t51_tops_1_A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_29,eq_20]),eq_1]) ).
cnf(eq_32,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_30,eq_25]),eq_20]),eq_0]),eq_0]) ).
cnf(eq_33,negated_conjecture,
closed_subset(sK7_rc6_pre_topc_B(sK2_t51_tops_1_A),sK2_t51_tops_1_A) != open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),
inference(cp,[status(thm)],[eq_31,eq_22]) ).
cnf(eq_34,plain,
ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) = true,
inference(cp,[status(thm)],[eq_13,eq_5]) ).
cnf(eq_35,plain,
ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(sK7_rc6_pre_topc_B(sK2_t51_tops_1_A),sK2_t51_tops_1_A),true),true) = true,
inference(cp,[status(thm)],[eq_12,eq_3]) ).
cnf(eq_36,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(rw,[status(thm)],[eq_34,eq_1]) ).
cnf(eq_37,plain,
true = closed_subset(sK7_rc6_pre_topc_B(sK2_t51_tops_1_A),sK2_t51_tops_1_A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_35,eq_11]),eq_1]),eq_1]) ).
cnf(eq_38,plain,
ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,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),true),true) = true,
inference(cp,[status(thm)],[eq_36,eq_7]) ).
cnf(eq_39,plain,
ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,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),true) = true,
inference(cp,[status(thm)],[eq_36,eq_6]) ).
cnf(eq_40,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_39,eq_11]),eq_1]),eq_1]) ).
cnf(eq_41,plain,
true = 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),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_38,eq_12]),eq_11]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_42,plain,
ifeq(true,true,ifeq(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,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(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))),sK2_t51_tops_1_A),true),true),true),true) = true,
inference(cp,[status(thm)],[eq_40,eq_2]) ).
cnf(eq_43,plain,
true = open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_42,eq_41]),eq_12]),eq_11]),eq_32]),eq_1]),eq_1]),eq_1]),eq_1]) ).
cnf(eq_44,negated_conjecture,
true != true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_37]),eq_43]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU323-10 : TPTP v8.1.0. Released v7.3.0.
% 0.08/0.13 % Command : run_maedmax %d %s
% 0.12/0.34 % Computer : n013.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 : Tue Jul 26 04:49:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 35.34/35.52 % SZS status Unsatisfiable
% 35.34/35.52 % SZS output start CNFRefutation for /tmp/MaedMax_24867
% See solution above
% 35.34/35.52
%------------------------------------------------------------------------------