%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : SEU323-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n029.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 : 600s
% DateTime : Tue Jul 19 08:55:51 EDT 2022
% Result : Unsatisfiable 0.74s 1.19s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 10 RR)
% Number of literals : 17 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 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(1,plain,
equal(ifeq2(A,A,B,C),B),
file('SEU323-10.p',unknown),
[] ).
cnf(2,plain,
equal(ifeq(A,A,B,C),B),
file('SEU323-10.p',unknown),
[] ).
cnf(3,plain,
equal(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('SEU323-10.p',unknown),
[] ).
cnf(9,plain,
equal(ifeq(element(A,powerset(B)),true,element(subset_complement(B,A),powerset(B)),true),true),
file('SEU323-10.p',unknown),
[] ).
cnf(10,plain,
equal(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('SEU323-10.p',unknown),
[] ).
cnf(11,plain,
equal(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('SEU323-10.p',unknown),
[] ).
cnf(21,plain,
equal(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('SEU323-10.p',unknown),
[] ).
cnf(22,plain,
equal(top_str(sK2_t51_tops_1_A),true),
file('SEU323-10.p',unknown),
[] ).
cnf(23,plain,
equal(topological_space(sK2_t51_tops_1_A),true),
file('SEU323-10.p',unknown),
[] ).
cnf(24,plain,
equal(element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))),true),
file('SEU323-10.p',unknown),
[] ).
cnf(25,plain,
~ equal(open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),
file('SEU323-10.p',unknown),
[] ).
cnf(66,plain,
equal(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(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[24,9]),2]),
[iquote('para(24,9),demod([2])')] ).
cnf(80,plain,
equal(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(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[24,21]),22,1,1]),
[iquote('para(24,21),demod([22,1,1])')] ).
cnf(220,plain,
equal(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(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[66,10]),22,2,2]),
[iquote('para(66,10),demod([22,2,2])')] ).
cnf(221,plain,
equal(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(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[66,11]),23,22,2,2,2]),
[iquote('para(66,11),demod([23,22,2,2,2])')] ).
cnf(283,plain,
equal(open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[80,3]),220,221,23,22,2,2,2,2]),
[iquote('para(80,3),demod([220,221,23,22,2,2,2,2])')] ).
cnf(284,plain,
$false,
inference(conflict,[status(thm)],[283,25]),
[iquote('conflict(283,25)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU323-10 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : tptp2X_and_run_eqp %s
% 0.12/0.34 % Computer : n029.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 : 600
% 0.12/0.34 % DateTime : Sun Jun 19 18:58:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.71/1.08 ----- EQP 0.9e, May 2009 -----
% 0.71/1.08 The job began on n029.cluster.edu, Sun Jun 19 18:58:30 2022
% 0.71/1.08 The command was "./eqp09e".
% 0.71/1.08
% 0.71/1.08 set(prolog_style_variables).
% 0.71/1.08 set(lrpo).
% 0.71/1.08 set(basic_paramod).
% 0.71/1.08 set(functional_subsume).
% 0.71/1.08 set(ordered_paramod).
% 0.71/1.08 set(prime_paramod).
% 0.71/1.08 set(para_pairs).
% 0.71/1.08 assign(pick_given_ratio,4).
% 0.71/1.08 clear(print_kept).
% 0.71/1.08 clear(print_new_demod).
% 0.71/1.08 clear(print_back_demod).
% 0.71/1.08 clear(print_given).
% 0.71/1.08 assign(max_mem,64000).
% 0.71/1.08 end_of_commands.
% 0.71/1.08
% 0.71/1.08 Usable:
% 0.71/1.08 end_of_list.
% 0.71/1.08
% 0.71/1.08 Sos:
% 0.71/1.08 0 (wt=-1) [] ifeq2(A,A,B,C) = B.
% 0.71/1.08 0 (wt=-1) [] ifeq(A,A,B,C) = B.
% 0.71/1.08 0 (wt=-1) [] 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.
% 0.71/1.08 0 (wt=-1) [] ifeq(topological_space(A),true,ifeq(top_str(A),true,element(sK7_rc6_pre_topc_B(A),powerset(the_carrier(A))),true),true) = true.
% 0.71/1.08 0 (wt=-1) [] ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(sK7_rc6_pre_topc_B(A),A),true),true) = true.
% 0.71/1.08 0 (wt=-1) [] ifeq2(element(A,powerset(B)),true,subset_complement(B,subset_complement(B,A)),A) = A.
% 0.71/1.08 0 (wt=-1) [] subset(A,A) = true.
% 0.71/1.08 0 (wt=-1) [] one_sorted_str(sK6_existence_l1_struct_0_A) = true.
% 0.71/1.08 0 (wt=-1) [] ifeq(element(A,powerset(B)),true,element(subset_complement(B,A),powerset(B)),true) = true.
% 0.71/1.08 0 (wt=-1) [] 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.
% 0.71/1.08 0 (wt=-1) [] 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.
% 0.71/1.08 0 (wt=-1) [] ifeq(open_subset(A,B),true,ifeq(element(A,powerset(the_carrier(B))),true,ifeq(topological_space(B),true,ifeq(top_str(B),true,closed_subset(subset_complement(the_carrier(B),A),B),true),true),true),true) = true.
% 0.71/1.08 0 (wt=-1) [] top_str(sK5_existence_l1_pre_topc_A) = true.
% 0.71/1.08 0 (wt=-1) [] element(sK4_existence_m1_subset_1_B(A),A) = true.
% 0.71/1.08 0 (wt=-1) [] ifeq(element(A,powerset(the_carrier(B))),true,ifeq(top_str(B),true,element(interior(B,A),powerset(the_carrier(B))),true),true) = true.
% 0.71/1.08 0 (wt=-1) [] ifeq(top_str(A),true,one_sorted_str(A),true) = true.
% 0.71/1.08 0 (wt=-1) [] ifeq(topological_space(A),true,ifeq(top_str(A),true,open_subset(sK3_rc1_tops_1_B(A),A),true),true) = true.
% 0.71/1.08 0 (wt=-1) [] ifeq(topological_space(A),true,ifeq(top_str(A),true,element(sK3_rc1_tops_1_B(A),powerset(the_carrier(A))),true),true) = true.
% 0.71/1.08 0 (wt=-1) [] ifeq(subset(A,B),true,element(A,powerset(B)),true) = true.
% 0.71/1.08 0 (wt=-1) [] ifeq(element(A,powerset(B)),true,subset(A,B),true) = true.
% 0.71/1.08 0 (wt=-1) [] 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).
% 0.71/1.08 0 (wt=-1) [] top_str(sK2_t51_tops_1_A) = true.
% 0.71/1.08 0 (wt=-1) [] topological_space(sK2_t51_tops_1_A) = true.
% 0.71/1.08 0 (wt=-1) [] element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = true.
% 0.71/1.08 0 (wt=-1) [] -(open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) = true).
% 0.71/1.08 end_of_list.
% 0.71/1.08
% 0.71/1.08 Demodulators:
% 0.71/1.08 end_of_list.
% 0.71/1.08
% 0.71/1.08 Passive:
% 0.71/1.08 end_of_list.
% 0.71/1.08
% 0.71/1.08 Starting to process input.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 0.71/1.08 1 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 2 (wt=7) [] ifeq(A,A,B,C) = B.
% 0.71/1.08 2 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 3 (wt=32) [] 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.
% 0.71/1.08 3 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 4 (wt=18) [] ifeq(topological_space(A),true,ifeq(top_str(A),true,element(sK7_rc6_pre_topc_B(A),powerset(the_carrier(A))),true),true) = true.
% 0.71/1.08 4 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 5 (wt=16) [] ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(sK7_rc6_pre_topc_B(A),A),true),true) = true.
% 0.71/1.08 5 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 6 (wt=14) [] ifeq2(element(A,powerset(B)),true,subset_complement(B,subset_complement(B,A)),A) = A.
% 0.71/1.08 6 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 7 (wt=5) [] subset(A,A) = true.
% 0.71/1.08 7 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 8 (wt=4) [] one_sorted_str(sK6_existence_l1_struct_0_A) = true.
% 0.71/1.08 8 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 9 (wt=15) [] ifeq(element(A,powerset(B)),true,element(subset_complement(B,A),powerset(B)),true) = true.
% 0.71/1.08 9 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 10 (wt=22) [] 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.
% 0.71/1.08 10 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 11 (wt=25) [] 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.
% 0.71/1.08 11 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 12 (wt=32) [] ifeq(open_subset(A,B),true,ifeq(element(A,powerset(the_carrier(B))),true,ifeq(topological_space(B),true,ifeq(top_str(B),true,closed_subset(subset_complement(the_carrier(B),A),B),true),true),true),true) = true.
% 0.71/1.08 12 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 13 (wt=4) [] top_str(sK5_existence_l1_pre_topc_A) = true.
% 0.71/1.08 13 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 14 (wt=6) [] element(sK4_existence_m1_subset_1_B(A),A) = true.
% 0.71/1.08 14 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 15 (wt=22) [] ifeq(element(A,powerset(the_carrier(B))),true,ifeq(top_str(B),true,element(interior(B,A),powerset(the_carrier(B))),true),true) = true.
% 0.71/1.08 15 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 16 (wt=9) [] ifeq(top_str(A),true,one_sorted_str(A),true) = true.
% 0.71/1.08 16 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 17 (wt=16) [] ifeq(topological_space(A),true,ifeq(top_str(A),true,open_subset(sK3_rc1_tops_1_B(A),A),true),true) = true.
% 0.71/1.08 17 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 18 (wt=18) [] ifeq(topological_space(A),true,ifeq(top_str(A),true,element(sK3_rc1_tops_1_B(A),powerset(the_carrier(A))),true),true) = true.
% 0.71/1.08 18 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 19 (wt=12) [] ifeq(subset(A,B),true,element(A,powerset(B)),true) = true.
% 0.71/1.08 19 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 20 (wt=12) [] ifeq(element(A,powerset(B)),true,subset(A,B),true) = true.
% 0.71/1.08 20 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 21 (wt=30) [] 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).
% 0.71/1.08 21 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 22 (wt=4) [] top_str(sK2_t51_tops_1_A) = true.
% 0.71/1.08 22 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 23 (wt=4) [] topological_space(sK2_t51_tops_1_A) = true.
% 0.71/1.08 23 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 24 (wt=7) [] element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = true.
% 0.71/1.08 24 is a new demodulator.
% 0.71/1.08
% 0.71/1.08 ** KEPT: 25 (wt=7) [] -(open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) = true).
% 0.71/1.08
% 0.71/1.08 After processing input:
% 0.71/1.08
% 0.71/1.08 Usable:
% 0.71/1.08 end_of_list.
% 0.71/1.08
% 0.71/1.08 Sos:
% 0.71/1.08 8 (wt=4) [] one_sorted_str(sK6_existence_l1_struct_0_A) = true.
% 0.71/1.08 13 (wt=4) [] top_str(sK5_existence_l1_pre_topc_A) = true.
% 0.71/1.08 22 (wt=4) [] top_str(sK2_t51_tops_1_A) = true.
% 0.71/1.08 23 (wt=4) [] topological_space(sK2_t51_tops_1_A) = true.
% 0.71/1.08 7 (wt=5) [] subset(A,A) = true.
% 0.71/1.08 14 (wt=6) [] element(sK4_existence_m1_subset_1_B(A),A) = true.
% 0.71/1.08 1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 0.71/1.08 2 (wt=7) [] ifeq(A,A,B,C) = B.
% 0.71/1.08 24 (wt=7) [] element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = true.
% 0.71/1.08 25 (wt=7) [] -(open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) = true).
% 0.71/1.08 16 (wt=9) [] ifeq(top_str(A),true,one_sorted_str(A),true) = true.
% 0.71/1.08 19 (wt=12) [] ifeq(subset(A,B),true,element(A,powerset(B)),true) = true.
% 0.71/1.08 20 (wt=12) [] ifeq(element(A,powerset(B)),true,subset(A,B),true) = true.
% 0.71/1.08 6 (wt=14) [] ifeq2(element(A,powerset(B)),true,subset_complement(B,subset_complement(B,A)),A) = A.
% 0.71/1.08 9 (wt=15) [] ifeq(element(A,powerset(B)),true,element(subset_complement(B,A),powerset(B)),true) = true.
% 0.71/1.08 5 (wt=16) [] ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(sK7_rc6_pre_topc_B(A),A),true),true) = true.
% 0.71/1.08 17 (wt=16) [] ifeq(topological_space(A),true,ifeq(top_str(A),true,open_subset(sK3_rc1_tops_1_B(A),A),true),true) = true.
% 0.71/1.08 4 (wt=18) [] ifeq(topological_space(A),true,ifeq(top_str(A),true,element(sK7_rc6_pre_topc_B(A),powerset(the_carrier(A))),true),true) = true.
% 0.71/1.08 18 (wt=18) [] ifeq(topological_space(A),true,ifeq(top_str(A),true,element(sK3_rc1_tops_1_B(A),powerset(the_carrier(A))),true),true) = true.
% 0.74/1.18 10 (wt=22) [] 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.
% 0.74/1.18 15 (wt=22) [] ifeq(element(A,powerset(the_carrier(B))),true,ifeq(top_str(B),true,element(interior(B,A),powerset(the_carrier(B))),true),true) = true.
% 0.74/1.18 11 (wt=25) [] 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.
% 0.74/1.18 21 (wt=30) [] 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).
% 0.74/1.18 3 (wt=32) [] 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.
% 0.74/1.18 12 (wt=32) [] ifeq(open_subset(A,B),true,ifeq(element(A,powerset(the_carrier(B))),true,ifeq(topological_space(B),true,ifeq(top_str(B),true,closed_subset(subset_complement(the_carrier(B),A),B),true),true),true),true) = true.
% 0.74/1.18 end_of_list.
% 0.74/1.18
% 0.74/1.18 Demodulators:
% 0.74/1.18 1 (wt=7) [] ifeq2(A,A,B,C) = B.
% 0.74/1.18 2 (wt=7) [] ifeq(A,A,B,C) = B.
% 0.74/1.18 3 (wt=32) [] 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.
% 0.74/1.18 4 (wt=18) [] ifeq(topological_space(A),true,ifeq(top_str(A),true,element(sK7_rc6_pre_topc_B(A),powerset(the_carrier(A))),true),true) = true.
% 0.74/1.18 5 (wt=16) [] ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(sK7_rc6_pre_topc_B(A),A),true),true) = true.
% 0.74/1.18 6 (wt=14) [] ifeq2(element(A,powerset(B)),true,subset_complement(B,subset_complement(B,A)),A) = A.
% 0.74/1.18 7 (wt=5) [] subset(A,A) = true.
% 0.74/1.18 8 (wt=4) [] one_sorted_str(sK6_existence_l1_struct_0_A) = true.
% 0.74/1.18 9 (wt=15) [] ifeq(element(A,powerset(B)),true,element(subset_complement(B,A),powerset(B)),true) = true.
% 0.74/1.19 10 (wt=22) [] 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.
% 0.74/1.19 11 (wt=25) [] 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.
% 0.74/1.19 12 (wt=32) [] ifeq(open_subset(A,B),true,ifeq(element(A,powerset(the_carrier(B))),true,ifeq(topological_space(B),true,ifeq(top_str(B),true,closed_subset(subset_complement(the_carrie---------------- PROOF FOUND ----------------
% 0.74/1.19 % SZS status Unsatisfiable
% 0.74/1.19
% 0.74/1.19 r(B),A),B),true),true),true),true) = true.
% 0.74/1.19 13 (wt=4) [] top_str(sK5_existence_l1_pre_topc_A) = true.
% 0.74/1.19 14 (wt=6) [] element(sK4_existence_m1_subset_1_B(A),A) = true.
% 0.74/1.19 15 (wt=22) [] ifeq(element(A,powerset(the_carrier(B))),true,ifeq(top_str(B),true,element(interior(B,A),powerset(the_carrier(B))),true),true) = true.
% 0.74/1.19 16 (wt=9) [] ifeq(top_str(A),true,one_sorted_str(A),true) = true.
% 0.74/1.19 17 (wt=16) [] ifeq(topological_space(A),true,ifeq(top_str(A),true,open_subset(sK3_rc1_tops_1_B(A),A),true),true) = true.
% 0.74/1.19 18 (wt=18) [] ifeq(topological_space(A),true,ifeq(top_str(A),true,element(sK3_rc1_tops_1_B(A),powerset(the_carrier(A))),true),true) = true.
% 0.74/1.19 19 (wt=12) [] ifeq(subset(A,B),true,element(A,powerset(B)),true) = true.
% 0.74/1.19 20 (wt=12) [] ifeq(element(A,powerset(B)),true,subset(A,B),true) = true.
% 0.74/1.19 21 (wt=30) [] 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).
% 0.74/1.19 22 (wt=4) [] top_str(sK2_t51_tops_1_A) = true.
% 0.74/1.19 23 (wt=4) [] topological_space(sK2_t51_tops_1_A) = true.
% 0.74/1.19 24 (wt=7) [] element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = true.
% 0.74/1.19 end_of_list.
% 0.74/1.19
% 0.74/1.19 Passive:
% 0.74/1.19 end_of_list.
% 0.74/1.19
% 0.74/1.19 UNIT CONFLICT from 283 and 25 at 0.03 seconds.
% 0.74/1.19
% 0.74/1.19 ---------------- PROOF ----------------
% 0.74/1.19 % SZS output start Refutation
% See solution above
% 0.74/1.19 ------------ end of proof -------------
% 0.74/1.19
% 0.74/1.19
% 0.74/1.19 ------------- memory usage ------------
% 0.74/1.19 Memory dynamically allocated (tp_alloc): 488.
% 0.74/1.19 type (bytes each) gets frees in use avail bytes
% 0.74/1.19 sym_ent ( 96) 73 0 73 0 6.8 K
% 0.74/1.19 term ( 16) 22042 17648 4394 37 85.4 K
% 0.74/1.19 gen_ptr ( 8) 24291 4261 20030 16 156.6 K
% 0.74/1.19 context ( 808) 250901 250899 2 2 3.2 K
% 0.74/1.19 trail ( 12) 105 105 0 3 0.0 K
% 0.74/1.19 bt_node ( 68) 132891 132887 4 26 2.0 K
% 0.74/1.19 ac_position (285432) 0 0 0 0 0.0 K
% 0.74/1.19 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.74/1.19 ac_match_free_vars_pos (4020)
% 0.74/1.19 0 0 0 0 0.0 K
% 0.74/1.19 discrim ( 12) 5467 1168 4299 0 50.4 K
% 0.74/1.19 flat ( 40) 26673 26673 0 28 1.1 K
% 0.74/1.19 discrim_pos ( 12) 1095 1095 0 1 0.0 K
% 0.74/1.19 fpa_head ( 12) 2909 0 2909 0 34.1 K
% 0.74/1.19 fpa_tree ( 28) 2674 2674 0 27 0.7 K
% 0.74/1.19 fpa_pos ( 36) 564 564 0 1 0.0 K
% 0.74/1.19 literal ( 12) 939 656 283 1 3.3 K
% 0.74/1.19 clause ( 24) 939 656 283 1 6.7 K
% 0.74/1.19 list ( 12) 340 284 56 3 0.7 K
% 0.74/1.19 list_pos ( 20) 1266 307 959 0 18.7 K
% 0.74/1.19 pair_index ( 40) 2 0 2 0 0.1 K
% 0.74/1.19
% 0.74/1.19 -------------- statistics -------------
% 0.74/1.19 Clauses input 25
% 0.74/1.19 Usable input 0
% 0.74/1.19 Sos input 25
% 0.74/1.19 Demodulators input 0
% 0.74/1.19 Passive input 0
% 0.74/1.19
% 0.74/1.19 Processed BS (before search) 25
% 0.74/1.19 Forward subsumed BS 0
% 0.74/1.19 Kept BS 25
% 0.74/1.19 New demodulators BS 24
% 0.74/1.19 Back demodulated BS 0
% 0.74/1.19
% 0.74/1.19 Clauses or pairs given 8655
% 0.74/1.19 Clauses generated 632
% 0.74/1.19 Forward subsumed 374
% 0.74/1.19 Deleted by weight 0
% 0.74/1.19 Deleted by variable count 0
% 0.74/1.19 Kept 258
% 0.74/1.19 New demodulators 257
% 0.74/1.19 Back demodulated 56
% 0.74/1.19 Ordered paramod prunes 0
% 0.74/1.19 Basic paramod prunes 6433
% 0.74/1.19 Prime paramod prunes 0
% 0.74/1.19 Semantic prunes 0
% 0.74/1.19
% 0.74/1.19 Rewrite attmepts 11441
% 0.74/1.19 Rewrites 1095
% 0.74/1.19
% 0.74/1.19 FPA overloads 0
% 0.74/1.19 FPA underloads 0
% 0.74/1.19
% 0.74/1.19 Usable size 0
% 0.74/1.19 Sos size 226
% 0.74/1.19 Demodulators size 225
% 0.74/1.19 Passive size 0
% 0.74/1.19 Disabled size 56
% 0.74/1.19
% 0.74/1.19 Proofs found 1
% 0.74/1.19
% 0.74/1.19 ----------- times (seconds) ----------- Sun Jun 19 18:58:30 2022
% 0.74/1.19
% 0.74/1.19 user CPU time 0.03 (0 hr, 0 min, 0 sec)
% 0.74/1.19 system CPU time 0.07 (0 hr, 0 min, 0 sec)
% 0.74/1.19 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.74/1.19 input time 0.00
% 0.74/1.19 paramodulation time 0.01
% 0.74/1.19 demodulation time 0.00
% 0.74/1.19 orient time 0.00
% 0.74/1.19 weigh time 0.00
% 0.74/1.19 forward subsume time 0.00
% 0.74/1.19 back demod find time 0.00
% 0.74/1.19 conflict time 0.00
% 0.74/1.19 LRPO time 0.00
% 0.74/1.19 store clause time 0.00
% 0.74/1.19 disable clause time 0.00
% 0.74/1.19 prime paramod time 0.00
% 0.74/1.19 semantics time 0.00
% 0.74/1.19
% 0.74/1.19 EQP interrupted
%------------------------------------------------------------------------------