TSTP Solution File: SEU314+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SEU314+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n016.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 13:30:53 EDT 2022
% Result : Theorem 11.20s 11.51s
% Output : Refutation 11.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU314+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 06:26:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.75/1.00 ============================== Prover9 ===============================
% 0.75/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.75/1.00 Process 29555 was started by sandbox2 on n016.cluster.edu,
% 0.75/1.00 Mon Jun 20 06:26:40 2022
% 0.75/1.00 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_29173_n016.cluster.edu".
% 0.75/1.00 ============================== end of head ===========================
% 0.75/1.00
% 0.75/1.00 ============================== INPUT =================================
% 0.75/1.00
% 0.75/1.00 % Reading from file /tmp/Prover9_29173_n016.cluster.edu
% 0.75/1.00
% 0.75/1.00 set(prolog_style_variables).
% 0.75/1.00 set(auto2).
% 0.75/1.00 % set(auto2) -> set(auto).
% 0.75/1.00 % set(auto) -> set(auto_inference).
% 0.75/1.00 % set(auto) -> set(auto_setup).
% 0.75/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.75/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.75/1.00 % set(auto) -> set(auto_limits).
% 0.75/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.75/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.75/1.00 % set(auto) -> set(auto_denials).
% 0.75/1.00 % set(auto) -> set(auto_process).
% 0.75/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.75/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.75/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.75/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.75/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.75/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.75/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.75/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.75/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.75/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.75/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.75/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.75/1.00 % set(auto2) -> assign(stats, some).
% 0.75/1.00 % set(auto2) -> clear(echo_input).
% 0.75/1.00 % set(auto2) -> set(quiet).
% 0.75/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.75/1.00 % set(auto2) -> clear(print_given).
% 0.75/1.00 assign(lrs_ticks,-1).
% 0.75/1.00 assign(sos_limit,10000).
% 0.75/1.00 assign(order,kbo).
% 0.75/1.00 set(lex_order_vars).
% 0.75/1.00 clear(print_given).
% 0.75/1.00
% 0.75/1.00 % formulas(sos). % not echoed (29 formulas)
% 0.75/1.00
% 0.75/1.00 ============================== end of input ==========================
% 0.75/1.00
% 0.75/1.00 % From the command line: assign(max_seconds, 300).
% 0.75/1.00
% 0.75/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.75/1.00
% 0.75/1.00 % Formulas that are not ordinary clauses:
% 0.75/1.00 1 (all A (v5_membered(A) -> v4_membered(A))) # label(cc1_membered) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.00 2 (all A (v4_membered(A) -> v3_membered(A))) # label(cc2_membered) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.00 3 (all A (v3_membered(A) -> v2_membered(A))) # label(cc3_membered) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.00 4 (all A (v2_membered(A) -> v1_membered(A))) # label(cc4_membered) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.00 5 (exists A (-empty(A) & v1_membered(A) & v2_membered(A) & v3_membered(A) & v4_membered(A) & v5_membered(A))) # label(rc1_membered) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.00 6 (all A (v1_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B))))) # label(cc10_membered) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.00 7 (all A (v2_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B) & v1_xreal_0(B))))) # label(cc11_membered) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.00 8 (all A (v3_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B) & v1_xreal_0(B) & v1_rat_1(B))))) # label(cc12_membered) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.00 9 (all A (v4_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B) & v1_xreal_0(B) & v1_int_1(B) & v1_rat_1(B))))) # label(cc13_membered) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.00 10 (all A (v5_membered(A) -> (all B (element(B,A) -> v1_xcmplx_0(B) & natural(B) & v1_xreal_0(B) & v1_int_1(B) & v1_rat_1(B))))) # label(cc14_membered) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.00 11 (all A (v1_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B))))) # label(cc16_membered) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.00 12 (all A (v2_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B) & v2_membered(B))))) # label(cc17_membered) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.00 13 (all A (v3_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B) & v2_membered(B) & v3_membered(B))))) # label(cc18_membered) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.01 14 (all A (v4_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B) & v2_membered(B) & v3_membered(B) & v4_membered(B))))) # label(cc19_membered) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.01 15 (all A (v5_membered(A) -> (all B (element(B,powerset(A)) -> v1_membered(B) & v2_membered(B) & v3_membered(B) & v4_membered(B) & v5_membered(B))))) # label(cc20_membered) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.01 16 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.01 17 (all A (-empty(A) -> (exists B (element(B,powerset(A)) & -empty(B))))) # label(rc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.01 18 (all A exists B (element(B,powerset(A)) & empty(B))) # label(rc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.01 19 (all A (empty(A) -> v1_membered(A) & v2_membered(A) & v3_membered(A) & v4_membered(A) & v5_membered(A))) # label(cc15_membered) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.01 20 (all A all B subset(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.01 21 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.01 22 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.01 23 (all A (top_str(A) -> one_sorted_str(A))) # label(dt_l1_pre_topc) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.01 24 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.01 25 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.01 26 (all A (topological_space(A) & top_str(A) -> (exists B (element(B,powerset(the_carrier(A))) & closed_subset(B,A))))) # label(rc6_pre_topc) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.01 27 (all A -empty(powerset(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.01 28 (all A all B (topological_space(A) & top_str(A) & element(B,powerset(the_carrier(A))) -> ((all C all D all E (C = D & (exists F (element(F,powerset(the_carrier(A))) & F = D & closed_subset(F,A) & subset(B,D))) & C = E & (exists G (element(G,powerset(the_carrier(A))) & G = E & closed_subset(G,A) & subset(B,E))) -> D = E)) -> (exists C all D (in(D,C) <-> (exists E (in(E,powerset(the_carrier(A))) & E = D & (exists H (element(H,powerset(the_carrier(A))) & H = D & closed_subset(H,A) & subset(B,D)))))))))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.01 29 -(all A all B (topological_space(A) & top_str(A) & element(B,powerset(the_carrier(A))) -> (exists C all D (in(D,C) <-> in(D,powerset(the_carrier(A))) & (exists E (element(E,powerset(the_carrier(A))) & E = D & closed_subset(E,A) & subset(B,D))))))) # label(s1_xboole_0__e1_40__pre_topc__1) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.75/1.01
% 0.75/1.01 ============================== end of process non-clausal formulas ===
% 0.75/1.01
% 0.75/1.01 ============================== PROCESS INITIAL CLAUSES ===============
% 0.75/1.01
% 0.75/1.01 ============================== PREDICATE ELIMINATION =================
% 0.75/1.01 30 top_str(c2) # label(s1_xboole_0__e1_40__pre_topc__1) # label(negated_conjecture). [clausify(29)].
% 0.75/1.01 31 -top_str(A) | one_sorted_str(A) # label(dt_l1_pre_topc) # label(axiom). [clausify(23)].
% 0.75/1.01 32 -topological_space(A) | -top_str(A) | element(f3(A),powerset(the_carrier(A))) # label(rc6_pre_topc) # label(axiom). [clausify(26)].
% 0.75/1.01 33 -topological_space(A) | -top_str(A) | closed_subset(f3(A),A) # label(rc6_pre_topc) # label(axiom). [clausify(26)].
% 0.75/1.01 34 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f5(A,B) = f4(A,B) | -in(C,f9(A,B)) | in(f10(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.01 35 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f5(A,B) = f4(A,B) | -in(C,f9(A,B)) | f10(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.01 36 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f5(A,B) = f4(A,B) | -in(C,f9(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.01 37 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f5(A,B) = f4(A,B) | -in(C,f9(A,B)) | f11(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.01 38 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f5(A,B) = f4(A,B) | -in(C,f9(A,B)) | closed_subset(f11(A,B,C),A) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.01 39 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f5(A,B) = f4(A,B) | -in(C,f9(A,B)) | subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.01 40 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f5(A,B) = f4(A,B) | in(C,f9(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -element(E,powerset(the_carrier(A))) | E != C | -closed_subset(E,A) | -subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.01 41 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f7(A,B),powerset(the_carrier(A))) | -in(C,f9(A,B)) | in(f10(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.01 42 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f7(A,B),powerset(the_carrier(A))) | -in(C,f9(A,B)) | f10(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.01 43 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f7(A,B),powerset(the_carrier(A))) | -in(C,f9(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.01 44 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f7(A,B),powerset(the_carrier(A))) | -in(C,f9(A,B)) | f11(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.01 45 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f7(A,B),powerset(the_carrier(A))) | -in(C,f9(A,B)) | closed_subset(f11(A,B,C),A) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.01 46 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f7(A,B),powerset(the_carrier(A))) | -in(C,f9(A,B)) | subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.01 47 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f7(A,B),powerset(the_carrier(A))) | in(C,f9(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -element(E,powerset(the_carrier(A))) | E != C | -closed_subset(E,A) | -subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.01 48 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f7(A,B) = f5(A,B) | -in(C,f9(A,B)) | in(f10(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.01 49 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f7(A,B) = f5(A,B) | -in(C,f9(A,B)) | f10(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.01 50 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f7(A,B) = f5(A,B) | -in(C,f9(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.01 51 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f7(A,B) = f5(A,B) | -in(C,f9(A,B)) | f11(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.01 52 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f7(A,B) = f5(A,B) | -in(C,f9(A,B)) | closed_subset(f11(A,B,C),A) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.01 53 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f7(A,B) = f5(A,B) | -in(C,f9(A,B)) | subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 54 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f7(A,B) = f5(A,B) | in(C,f9(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -element(E,powerset(the_carrier(A))) | E != C | -closed_subset(E,A) | -subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 55 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f7(A,B),A) | -in(C,f9(A,B)) | in(f10(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 56 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f7(A,B),A) | -in(C,f9(A,B)) | f10(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 57 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f7(A,B),A) | -in(C,f9(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 58 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f7(A,B),A) | -in(C,f9(A,B)) | f11(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 59 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f7(A,B),A) | -in(C,f9(A,B)) | closed_subset(f11(A,B,C),A) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 60 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f7(A,B),A) | -in(C,f9(A,B)) | subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 61 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f7(A,B),A) | in(C,f9(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -element(E,powerset(the_carrier(A))) | E != C | -closed_subset(E,A) | -subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 62 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f5(A,B)) | -in(C,f9(A,B)) | in(f10(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 63 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f5(A,B)) | -in(C,f9(A,B)) | f10(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 64 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f5(A,B)) | -in(C,f9(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 65 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f5(A,B)) | -in(C,f9(A,B)) | f11(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 66 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f5(A,B)) | -in(C,f9(A,B)) | closed_subset(f11(A,B,C),A) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 67 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f5(A,B)) | -in(C,f9(A,B)) | subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 68 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f5(A,B)) | in(C,f9(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -element(E,powerset(the_carrier(A))) | E != C | -closed_subset(E,A) | -subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 69 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) = f4(A,B) | -in(C,f9(A,B)) | in(f10(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 70 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) = f4(A,B) | -in(C,f9(A,B)) | f10(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 71 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) = f4(A,B) | -in(C,f9(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 72 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) = f4(A,B) | -in(C,f9(A,B)) | f11(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 73 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) = f4(A,B) | -in(C,f9(A,B)) | closed_subset(f11(A,B,C),A) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 74 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) = f4(A,B) | -in(C,f9(A,B)) | subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 75 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) = f4(A,B) | in(C,f9(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -element(E,powerset(the_carrier(A))) | E != C | -closed_subset(E,A) | -subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 76 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f8(A,B),powerset(the_carrier(A))) | -in(C,f9(A,B)) | in(f10(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 77 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f8(A,B),powerset(the_carrier(A))) | -in(C,f9(A,B)) | f10(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 78 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f8(A,B),powerset(the_carrier(A))) | -in(C,f9(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 79 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f8(A,B),powerset(the_carrier(A))) | -in(C,f9(A,B)) | f11(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 80 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f8(A,B),powerset(the_carrier(A))) | -in(C,f9(A,B)) | closed_subset(f11(A,B,C),A) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 81 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f8(A,B),powerset(the_carrier(A))) | -in(C,f9(A,B)) | subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 82 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | element(f8(A,B),powerset(the_carrier(A))) | in(C,f9(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -element(E,powerset(the_carrier(A))) | E != C | -closed_subset(E,A) | -subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 83 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f8(A,B) = f6(A,B) | -in(C,f9(A,B)) | in(f10(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 84 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f8(A,B) = f6(A,B) | -in(C,f9(A,B)) | f10(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 85 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f8(A,B) = f6(A,B) | -in(C,f9(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 86 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f8(A,B) = f6(A,B) | -in(C,f9(A,B)) | f11(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 87 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f8(A,B) = f6(A,B) | -in(C,f9(A,B)) | closed_subset(f11(A,B,C),A) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 88 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f8(A,B) = f6(A,B) | -in(C,f9(A,B)) | subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 89 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f8(A,B) = f6(A,B) | in(C,f9(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -element(E,powerset(the_carrier(A))) | E != C | -closed_subset(E,A) | -subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 90 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f8(A,B),A) | -in(C,f9(A,B)) | in(f10(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 91 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f8(A,B),A) | -in(C,f9(A,B)) | f10(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 92 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f8(A,B),A) | -in(C,f9(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 93 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f8(A,B),A) | -in(C,f9(A,B)) | f11(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 94 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f8(A,B),A) | -in(C,f9(A,B)) | closed_subset(f11(A,B,C),A) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 95 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f8(A,B),A) | -in(C,f9(A,B)) | subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 96 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | closed_subset(f8(A,B),A) | in(C,f9(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -element(E,powerset(the_carrier(A))) | E != C | -closed_subset(E,A) | -subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 97 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f6(A,B)) | -in(C,f9(A,B)) | in(f10(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 98 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f6(A,B)) | -in(C,f9(A,B)) | f10(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 99 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f6(A,B)) | -in(C,f9(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 100 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f6(A,B)) | -in(C,f9(A,B)) | f11(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 101 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f6(A,B)) | -in(C,f9(A,B)) | closed_subset(f11(A,B,C),A) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 102 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f6(A,B)) | -in(C,f9(A,B)) | subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 103 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | subset(B,f6(A,B)) | in(C,f9(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -element(E,powerset(the_carrier(A))) | E != C | -closed_subset(E,A) | -subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 104 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) != f5(A,B) | -in(C,f9(A,B)) | in(f10(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 105 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) != f5(A,B) | -in(C,f9(A,B)) | f10(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 106 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) != f5(A,B) | -in(C,f9(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 107 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) != f5(A,B) | -in(C,f9(A,B)) | f11(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 108 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) != f5(A,B) | -in(C,f9(A,B)) | closed_subset(f11(A,B,C),A) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 109 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) != f5(A,B) | -in(C,f9(A,B)) | subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 110 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) != f5(A,B) | in(C,f9(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -element(E,powerset(the_carrier(A))) | E != C | -closed_subset(E,A) | -subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 0.75/1.02 Derived: one_sorted_str(c2). [resolve(30,a,31,a)].
% 0.75/1.02 Derived: -topological_space(c2) | element(f3(c2),powerset(the_carrier(c2))). [resolve(30,a,32,b)].
% 0.75/1.02 Derived: -topological_space(c2) | closed_subset(f3(c2),c2). [resolve(30,a,33,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | in(f10(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,34,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | f10(c2,A,B) = B. [resolve(30,a,35,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | element(f11(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,36,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | f11(c2,A,B) = B. [resolve(30,a,37,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | closed_subset(f11(c2,A,B),c2). [resolve(30,a,38,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | subset(A,B). [resolve(30,a,39,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | in(B,f9(c2,A)) | -in(C,powerset(the_carrier(c2))) | C != B | -element(D,powerset(the_carrier(c2))) | D != B | -closed_subset(D,c2) | -subset(A,B). [resolve(30,a,40,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | element(f7(c2,A),powerset(the_carrier(c2))) | -in(B,f9(c2,A)) | in(f10(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,41,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | element(f7(c2,A),powerset(the_carrier(c2))) | -in(B,f9(c2,A)) | f10(c2,A,B) = B. [resolve(30,a,42,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | element(f7(c2,A),powerset(the_carrier(c2))) | -in(B,f9(c2,A)) | element(f11(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,43,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | element(f7(c2,A),powerset(the_carrier(c2))) | -in(B,f9(c2,A)) | f11(c2,A,B) = B. [resolve(30,a,44,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | element(f7(c2,A),powerset(the_carrier(c2))) | -in(B,f9(c2,A)) | closed_subset(f11(c2,A,B),c2). [resolve(30,a,45,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | element(f7(c2,A),powerset(the_carrier(c2))) | -in(B,f9(c2,A)) | subset(A,B). [resolve(30,a,46,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | element(f7(c2,A),powerset(the_carrier(c2))) | in(B,f9(c2,A)) | -in(C,powerset(the_carrier(c2))) | C != B | -element(D,powerset(the_carrier(c2))) | D != B | -closed_subset(D,c2) | -subset(A,B). [resolve(30,a,47,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f7(c2,A) = f5(c2,A) | -in(B,f9(c2,A)) | in(f10(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,48,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f7(c2,A) = f5(c2,A) | -in(B,f9(c2,A)) | f10(c2,A,B) = B. [resolve(30,a,49,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f7(c2,A) = f5(c2,A) | -in(B,f9(c2,A)) | element(f11(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,50,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f7(c2,A) = f5(c2,A) | -in(B,f9(c2,A)) | f11(c2,A,B) = B. [resolve(30,a,51,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f7(c2,A) = f5(c2,A) | -in(B,f9(c2,A)) | closed_subset(f11(c2,A,B),c2). [resolve(30,a,52,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f7(c2,A) = f5(c2,A) | -in(B,f9(c2,A)) | subset(A,B). [resolve(30,a,53,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f7(c2,A) = f5(c2,A) | in(B,f9(c2,A)) | -in(C,powerset(the_carrier(c2))) | C != B | -element(D,powerset(the_carrier(c2))) | D != B | -closed_subset(D,c2) | -subset(A,B). [resolve(30,a,54,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | closed_subset(f7(c2,A),c2) | -in(B,f9(c2,A)) | in(f10(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,55,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | closed_subset(f7(c2,A),c2) | -in(B,f9(c2,A)) | f10(c2,A,B) = B. [resolve(30,a,56,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | closed_subset(f7(c2,A),c2) | -in(B,f9(c2,A)) | element(f11(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,57,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | closed_subset(f7(c2,A),c2) | -in(B,f9(c2,A)) | f11(c2,A,B) = B. [resolve(30,a,58,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | closed_subset(f7(c2,A),c2) | -in(B,f9(c2,A)) | closed_subset(f11(c2,A,B),c2). [resolve(30,a,59,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | closed_subset(f7(c2,A),c2) | -in(B,f9(c2,A)) | subset(A,B). [resolve(30,a,60,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | closed_subset(f7(c2,A),c2) | in(B,f9(c2,A)) | -in(C,powerset(the_carrier(c2))) | C != B | -element(D,powerset(the_carrier(c2))) | D != B | -closed_subset(D,c2) | -subset(A,B). [resolve(30,a,61,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | subset(A,f5(c2,A)) | -in(B,f9(c2,A)) | in(f10(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,62,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | subset(A,f5(c2,A)) | -in(B,f9(c2,A)) | f10(c2,A,B) = B. [resolve(30,a,63,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | subset(A,f5(c2,A)) | -in(B,f9(c2,A)) | element(f11(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,64,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | subset(A,f5(c2,A)) | -in(B,f9(c2,A)) | f11(c2,A,B) = B. [resolve(30,a,65,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | subset(A,f5(c2,A)) | -in(B,f9(c2,A)) | closed_subset(f11(c2,A,B),c2). [resolve(30,a,66,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | subset(A,f5(c2,A)) | -in(B,f9(c2,A)) | subset(A,B). [resolve(30,a,67,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | subset(A,f5(c2,A)) | in(B,f9(c2,A)) | -in(C,powerset(the_carrier(c2))) | C != B | -element(D,powerset(the_carrier(c2))) | D != B | -closed_subset(D,c2) | -subset(A,B). [resolve(30,a,68,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | in(f10(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,69,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | f10(c2,A,B) = B. [resolve(30,a,70,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | element(f11(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,71,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | f11(c2,A,B) = B. [resolve(30,a,72,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | closed_subset(f11(c2,A,B),c2). [resolve(30,a,73,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | subset(A,B). [resolve(30,a,74,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | in(B,f9(c2,A)) | -in(C,powerset(the_carrier(c2))) | C != B | -element(D,powerset(the_carrier(c2))) | D != B | -closed_subset(D,c2) | -subset(A,B). [resolve(30,a,75,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | element(f8(c2,A),powerset(the_carrier(c2))) | -in(B,f9(c2,A)) | in(f10(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,76,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | element(f8(c2,A),powerset(the_carrier(c2))) | -in(B,f9(c2,A)) | f10(c2,A,B) = B. [resolve(30,a,77,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | element(f8(c2,A),powerset(the_carrier(c2))) | -in(B,f9(c2,A)) | element(f11(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,78,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | element(f8(c2,A),powerset(the_carrier(c2))) | -in(B,f9(c2,A)) | f11(c2,A,B) = B. [resolve(30,a,79,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | element(f8(c2,A),powerset(the_carrier(c2))) | -in(B,f9(c2,A)) | closed_subset(f11(c2,A,B),c2). [resolve(30,a,80,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | element(f8(c2,A),powerset(the_carrier(c2))) | -in(B,f9(c2,A)) | subset(A,B). [resolve(30,a,81,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | element(f8(c2,A),powerset(the_carrier(c2))) | in(B,f9(c2,A)) | -in(C,powerset(the_carrier(c2))) | C != B | -element(D,powerset(the_carrier(c2))) | D != B | -closed_subset(D,c2) | -subset(A,B). [resolve(30,a,82,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f8(c2,A) = f6(c2,A) | -in(B,f9(c2,A)) | in(f10(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,83,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f8(c2,A) = f6(c2,A) | -in(B,f9(c2,A)) | f10(c2,A,B) = B. [resolve(30,a,84,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f8(c2,A) = f6(c2,A) | -in(B,f9(c2,A)) | element(f11(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,85,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f8(c2,A) = f6(c2,A) | -in(B,f9(c2,A)) | f11(c2,A,B) = B. [resolve(30,a,86,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f8(c2,A) = f6(c2,A) | -in(B,f9(c2,A)) | closed_subset(f11(c2,A,B),c2). [resolve(30,a,87,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f8(c2,A) = f6(c2,A) | -in(B,f9(c2,A)) | subset(A,B). [resolve(30,a,88,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f8(c2,A) = f6(c2,A) | in(B,f9(c2,A)) | -in(C,powerset(the_carrier(c2))) | C != B | -element(D,powerset(the_carrier(c2))) | D != B | -closed_subset(D,c2) | -subset(A,B). [resolve(30,a,89,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | closed_subset(f8(c2,A),c2) | -in(B,f9(c2,A)) | in(f10(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,90,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | closed_subset(f8(c2,A),c2) | -in(B,f9(c2,A)) | f10(c2,A,B) = B. [resolve(30,a,91,b)].
% 0.75/1.02 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | closed_subset(f8(c2,A),c2) | -in(B,f9(c2,A)) | element(f11(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,92,b)].
% 1.53/1.80 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | closed_subset(f8(c2,A),c2) | -in(B,f9(c2,A)) | f11(c2,A,B) = B. [resolve(30,a,93,b)].
% 1.53/1.80 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | closed_subset(f8(c2,A),c2) | -in(B,f9(c2,A)) | closed_subset(f11(c2,A,B),c2). [resolve(30,a,94,b)].
% 1.53/1.80 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | closed_subset(f8(c2,A),c2) | -in(B,f9(c2,A)) | subset(A,B). [resolve(30,a,95,b)].
% 1.53/1.80 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | closed_subset(f8(c2,A),c2) | in(B,f9(c2,A)) | -in(C,powerset(the_carrier(c2))) | C != B | -element(D,powerset(the_carrier(c2))) | D != B | -closed_subset(D,c2) | -subset(A,B). [resolve(30,a,96,b)].
% 1.53/1.80 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | subset(A,f6(c2,A)) | -in(B,f9(c2,A)) | in(f10(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,97,b)].
% 1.53/1.80 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | subset(A,f6(c2,A)) | -in(B,f9(c2,A)) | f10(c2,A,B) = B. [resolve(30,a,98,b)].
% 1.53/1.80 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | subset(A,f6(c2,A)) | -in(B,f9(c2,A)) | element(f11(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,99,b)].
% 1.53/1.80 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | subset(A,f6(c2,A)) | -in(B,f9(c2,A)) | f11(c2,A,B) = B. [resolve(30,a,100,b)].
% 1.53/1.80 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | subset(A,f6(c2,A)) | -in(B,f9(c2,A)) | closed_subset(f11(c2,A,B),c2). [resolve(30,a,101,b)].
% 1.53/1.80 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | subset(A,f6(c2,A)) | -in(B,f9(c2,A)) | subset(A,B). [resolve(30,a,102,b)].
% 1.53/1.80 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | subset(A,f6(c2,A)) | in(B,f9(c2,A)) | -in(C,powerset(the_carrier(c2))) | C != B | -element(D,powerset(the_carrier(c2))) | D != B | -closed_subset(D,c2) | -subset(A,B). [resolve(30,a,103,b)].
% 1.53/1.80 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | -in(B,f9(c2,A)) | in(f10(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,104,b)].
% 1.53/1.80 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | -in(B,f9(c2,A)) | f10(c2,A,B) = B. [resolve(30,a,105,b)].
% 1.53/1.80 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | -in(B,f9(c2,A)) | element(f11(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,106,b)].
% 1.53/1.80 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | -in(B,f9(c2,A)) | f11(c2,A,B) = B. [resolve(30,a,107,b)].
% 1.53/1.80 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | -in(B,f9(c2,A)) | closed_subset(f11(c2,A,B),c2). [resolve(30,a,108,b)].
% 1.53/1.80 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | -in(B,f9(c2,A)) | subset(A,B). [resolve(30,a,109,b)].
% 1.53/1.80 Derived: -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | in(B,f9(c2,A)) | -in(C,powerset(the_carrier(c2))) | C != B | -element(D,powerset(the_carrier(c2))) | D != B | -closed_subset(D,c2) | -subset(A,B). [resolve(30,a,110,b)].
% 1.53/1.80
% 1.53/1.80 ============================== end predicate elimination =============
% 1.53/1.80
% 1.53/1.80 Auto_denials: (non-Horn, no changes).
% 1.53/1.80
% 1.53/1.80 Term ordering decisions:
% 1.53/1.80 Function symbol KB weights: c1=1. c2=1. c3=1. f4=1. f5=1. f6=1. f7=1. f8=1. f9=1. powerset=1. the_carrier=1. f1=1. f2=1. f3=1. f12=1. f13=1. f10=1. f11=1.
% 1.53/1.80
% 1.53/1.80 ============================== end of process initial clauses ========
% 1.53/1.80
% 1.53/1.80 ============================== CLAUSES FOR SEARCH ====================
% 1.53/1.80
% 1.53/1.80 ============================== end of clauses for search =============
% 1.53/1.80
% 1.53/1.80 ============================== SEARCH ================================
% 1.53/1.80
% 1.53/1.80 % Starting search at 0.05 seconds.
% 1.53/1.80
% 1.53/1.80 Low Water (keep): wt=88.000, iters=3485
% 1.53/1.80
% 1.53/1.80 Low Water (keep): wt=77.000, iters=3333
% 1.53/1.80
% 1.53/1.80 Low Water (keep): wt=72.000, iters=3406
% 11.20/11.51
% 11.20/11.51 Low Water (keep): wt=69.000, iters=3400
% 11.20/11.51
% 11.20/11.51 Low Water (keep): wt=68.000, iters=3363
% 11.20/11.51
% 11.20/11.51 Low Water (keep): wt=66.000, iters=3394
% 11.20/11.51
% 11.20/11.51 Low Water (keep): wt=64.000, iters=3418
% 11.20/11.51
% 11.20/11.51 Low Water (keep): wt=63.000, iters=3364
% 11.20/11.51
% 11.20/11.51 Low Water (keep): wt=61.000, iters=3345
% 11.20/11.51
% 11.20/11.51 Low Water (keep): wt=60.000, iters=3401
% 11.20/11.51
% 11.20/11.51 Low Water (keep): wt=59.000, iters=3335
% 11.20/11.51
% 11.20/11.51 Low Water (keep): wt=58.000, iters=3365
% 11.20/11.51
% 11.20/11.51 Low Water (displace): id=7143, wt=88.000
% 11.20/11.51
% 11.20/11.51 Low Water (displace): id=6816, wt=86.000
% 11.20/11.51
% 11.20/11.51 Low Water (displace): id=6815, wt=85.000
% 11.20/11.51
% 11.20/11.51 Low Water (displace): id=4731, wt=84.000
% 11.20/11.51
% 11.20/11.51 Low Water (displace): id=6693, wt=83.000
% 11.20/11.51
% 11.20/11.51 Low Water (displace): id=6365, wt=80.000
% 11.20/11.51
% 11.20/11.51 Low Water (displace): id=6854, wt=79.000
% 11.20/11.51
% 11.20/11.51 Low Water (displace): id=6853, wt=78.000
% 11.20/11.51
% 11.20/11.51 Low Water (displace): id=13601, wt=57.000
% 11.20/11.51
% 11.20/11.51 Low Water (displace): id=13811, wt=55.000
% 11.20/11.51
% 11.20/11.51 Low Water (displace): id=14130, wt=45.000
% 11.20/11.51
% 11.20/11.51 Low Water (displace): id=14132, wt=44.000
% 11.20/11.51
% 11.20/11.51 Low Water (displace): id=14141, wt=43.000
% 11.20/11.51
% 11.20/11.51 Low Water (displace): id=14164, wt=42.000
% 11.20/11.51
% 11.20/11.51 Low Water (keep): wt=57.000, iters=3359
% 11.20/11.51
% 11.20/11.51 Low Water (displace): id=14447, wt=34.000
% 11.20/11.51
% 11.20/11.51 Low Water (displace): id=15344, wt=32.000
% 11.20/11.51
% 11.20/11.51 Low Water (keep): wt=56.000, iters=3334
% 11.20/11.51
% 11.20/11.51 Low Water (keep): wt=55.000, iters=3408
% 11.20/11.51
% 11.20/11.51 ============================== PROOF =================================
% 11.20/11.51 % SZS status Theorem
% 11.20/11.51 % SZS output start Refutation
% 11.20/11.51
% 11.20/11.51 % Proof 1 at 10.40 (+ 0.12) seconds.
% 11.20/11.51 % Length of proof is 252.
% 11.20/11.51 % Level of proof is 35.
% 11.20/11.51 % Maximum clause weight is 46.000.
% 11.20/11.51 % Given clauses 6336.
% 11.20/11.51
% 11.20/11.51 28 (all A all B (topological_space(A) & top_str(A) & element(B,powerset(the_carrier(A))) -> ((all C all D all E (C = D & (exists F (element(F,powerset(the_carrier(A))) & F = D & closed_subset(F,A) & subset(B,D))) & C = E & (exists G (element(G,powerset(the_carrier(A))) & G = E & closed_subset(G,A) & subset(B,E))) -> D = E)) -> (exists C all D (in(D,C) <-> (exists E (in(E,powerset(the_carrier(A))) & E = D & (exists H (element(H,powerset(the_carrier(A))) & H = D & closed_subset(H,A) & subset(B,D)))))))))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom) # label(non_clause). [assumption].
% 11.20/11.51 29 -(all A all B (topological_space(A) & top_str(A) & element(B,powerset(the_carrier(A))) -> (exists C all D (in(D,C) <-> in(D,powerset(the_carrier(A))) & (exists E (element(E,powerset(the_carrier(A))) & E = D & closed_subset(E,A) & subset(B,D))))))) # label(s1_xboole_0__e1_40__pre_topc__1) # label(negated_conjecture) # label(non_clause). [assumption].
% 11.20/11.51 30 top_str(c2) # label(s1_xboole_0__e1_40__pre_topc__1) # label(negated_conjecture). [clausify(29)].
% 11.20/11.51 34 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f5(A,B) = f4(A,B) | -in(C,f9(A,B)) | in(f10(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 35 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f5(A,B) = f4(A,B) | -in(C,f9(A,B)) | f10(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 36 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f5(A,B) = f4(A,B) | -in(C,f9(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 37 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f5(A,B) = f4(A,B) | -in(C,f9(A,B)) | f11(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 38 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f5(A,B) = f4(A,B) | -in(C,f9(A,B)) | closed_subset(f11(A,B,C),A) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 39 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f5(A,B) = f4(A,B) | -in(C,f9(A,B)) | subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 40 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f5(A,B) = f4(A,B) | in(C,f9(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -element(E,powerset(the_carrier(A))) | E != C | -closed_subset(E,A) | -subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 69 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) = f4(A,B) | -in(C,f9(A,B)) | in(f10(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 70 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) = f4(A,B) | -in(C,f9(A,B)) | f10(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 71 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) = f4(A,B) | -in(C,f9(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 72 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) = f4(A,B) | -in(C,f9(A,B)) | f11(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 73 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) = f4(A,B) | -in(C,f9(A,B)) | closed_subset(f11(A,B,C),A) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 74 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) = f4(A,B) | -in(C,f9(A,B)) | subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 75 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) = f4(A,B) | in(C,f9(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -element(E,powerset(the_carrier(A))) | E != C | -closed_subset(E,A) | -subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 104 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) != f5(A,B) | -in(C,f9(A,B)) | in(f10(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 105 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) != f5(A,B) | -in(C,f9(A,B)) | f10(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 106 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) != f5(A,B) | -in(C,f9(A,B)) | element(f11(A,B,C),powerset(the_carrier(A))) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 107 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) != f5(A,B) | -in(C,f9(A,B)) | f11(A,B,C) = C # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 108 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) != f5(A,B) | -in(C,f9(A,B)) | closed_subset(f11(A,B,C),A) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 109 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) != f5(A,B) | -in(C,f9(A,B)) | subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 110 -topological_space(A) | -top_str(A) | -element(B,powerset(the_carrier(A))) | f6(A,B) != f5(A,B) | in(C,f9(A,B)) | -in(D,powerset(the_carrier(A))) | D != C | -element(E,powerset(the_carrier(A))) | E != C | -closed_subset(E,A) | -subset(B,C) # label(s1_tarski__e1_40__pre_topc__1) # label(axiom). [clausify(28)].
% 11.20/11.51 148 topological_space(c2) # label(s1_xboole_0__e1_40__pre_topc__1) # label(negated_conjecture). [clausify(29)].
% 11.20/11.51 149 element(c3,powerset(the_carrier(c2))) # label(s1_xboole_0__e1_40__pre_topc__1) # label(negated_conjecture). [clausify(29)].
% 11.20/11.51 150 in(f12(A),A) | in(f12(A),powerset(the_carrier(c2))) # label(s1_xboole_0__e1_40__pre_topc__1) # label(negated_conjecture). [clausify(29)].
% 11.20/11.51 151 in(f12(A),A) | element(f13(A),powerset(the_carrier(c2))) # label(s1_xboole_0__e1_40__pre_topc__1) # label(negated_conjecture). [clausify(29)].
% 11.20/11.51 152 in(f12(A),A) | f13(A) = f12(A) # label(s1_xboole_0__e1_40__pre_topc__1) # label(negated_conjecture). [clausify(29)].
% 11.20/11.51 153 in(f12(A),A) | closed_subset(f13(A),c2) # label(s1_xboole_0__e1_40__pre_topc__1) # label(negated_conjecture). [clausify(29)].
% 11.20/11.51 154 in(f12(A),A) | subset(c3,f12(A)) # label(s1_xboole_0__e1_40__pre_topc__1) # label(negated_conjecture). [clausify(29)].
% 11.20/11.51 155 -in(f12(A),A) | -in(f12(A),powerset(the_carrier(c2))) | -element(B,powerset(the_carrier(c2))) | B != f12(A) | -closed_subset(B,c2) | -subset(c3,f12(A)) # label(s1_xboole_0__e1_40__pre_topc__1) # label(negated_conjecture). [clausify(29)].
% 11.20/11.51 156 -in(f12(A),A) | -in(f12(A),powerset(the_carrier(c2))) | -element(B,powerset(the_carrier(c2))) | f12(A) != B | -closed_subset(B,c2) | -subset(c3,f12(A)). [copy(155),flip(d)].
% 11.20/11.51 161 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | in(f10(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,34,b)].
% 11.20/11.51 162 -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | in(f10(c2,A,B),powerset(the_carrier(c2))). [copy(161),unit_del(a,148)].
% 11.20/11.51 163 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | f10(c2,A,B) = B. [resolve(30,a,35,b)].
% 11.20/11.51 164 -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | f10(c2,A,B) = B. [copy(163),unit_del(a,148)].
% 11.20/11.51 165 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | element(f11(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,36,b)].
% 11.20/11.51 166 -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | element(f11(c2,A,B),powerset(the_carrier(c2))). [copy(165),unit_del(a,148)].
% 11.20/11.51 167 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | f11(c2,A,B) = B. [resolve(30,a,37,b)].
% 11.20/11.51 168 -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | f11(c2,A,B) = B. [copy(167),unit_del(a,148)].
% 11.20/11.51 169 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | closed_subset(f11(c2,A,B),c2). [resolve(30,a,38,b)].
% 11.20/11.51 170 -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | closed_subset(f11(c2,A,B),c2). [copy(169),unit_del(a,148)].
% 11.20/11.51 171 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | subset(A,B). [resolve(30,a,39,b)].
% 11.20/11.51 172 -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | subset(A,B). [copy(171),unit_del(a,148)].
% 11.20/11.51 173 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | in(B,f9(c2,A)) | -in(C,powerset(the_carrier(c2))) | C != B | -element(D,powerset(the_carrier(c2))) | D != B | -closed_subset(D,c2) | -subset(A,B). [resolve(30,a,40,b)].
% 11.20/11.51 174 -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | in(B,f9(c2,A)) | -in(C,powerset(the_carrier(c2))) | C != B | -element(D,powerset(the_carrier(c2))) | D != B | -closed_subset(D,c2) | -subset(A,B). [copy(173),unit_del(a,148)].
% 11.20/11.51 231 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | in(f10(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,69,b)].
% 11.20/11.51 232 -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | in(f10(c2,A,B),powerset(the_carrier(c2))). [copy(231),unit_del(a,148)].
% 11.20/11.51 233 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | f10(c2,A,B) = B. [resolve(30,a,70,b)].
% 11.20/11.51 234 -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | f10(c2,A,B) = B. [copy(233),unit_del(a,148)].
% 11.20/11.51 235 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | element(f11(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,71,b)].
% 11.20/11.51 236 -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | element(f11(c2,A,B),powerset(the_carrier(c2))). [copy(235),unit_del(a,148)].
% 11.20/11.51 237 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | f11(c2,A,B) = B. [resolve(30,a,72,b)].
% 11.20/11.51 238 -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | f11(c2,A,B) = B. [copy(237),unit_del(a,148)].
% 11.20/11.51 239 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | closed_subset(f11(c2,A,B),c2). [resolve(30,a,73,b)].
% 11.20/11.51 240 -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | closed_subset(f11(c2,A,B),c2). [copy(239),unit_del(a,148)].
% 11.20/11.51 241 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | subset(A,B). [resolve(30,a,74,b)].
% 11.20/11.51 242 -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | -in(B,f9(c2,A)) | subset(A,B). [copy(241),unit_del(a,148)].
% 11.20/11.51 243 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | in(B,f9(c2,A)) | -in(C,powerset(the_carrier(c2))) | C != B | -element(D,powerset(the_carrier(c2))) | D != B | -closed_subset(D,c2) | -subset(A,B). [resolve(30,a,75,b)].
% 11.20/11.51 244 -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | in(B,f9(c2,A)) | -in(C,powerset(the_carrier(c2))) | C != B | -element(D,powerset(the_carrier(c2))) | D != B | -closed_subset(D,c2) | -subset(A,B). [copy(243),unit_del(a,148)].
% 11.20/11.51 301 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | -in(B,f9(c2,A)) | in(f10(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,104,b)].
% 11.20/11.51 302 -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | -in(B,f9(c2,A)) | in(f10(c2,A,B),powerset(the_carrier(c2))). [copy(301),unit_del(a,148)].
% 11.20/11.51 303 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | -in(B,f9(c2,A)) | f10(c2,A,B) = B. [resolve(30,a,105,b)].
% 11.20/11.51 304 -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | -in(B,f9(c2,A)) | f10(c2,A,B) = B. [copy(303),unit_del(a,148)].
% 11.20/11.51 305 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | -in(B,f9(c2,A)) | element(f11(c2,A,B),powerset(the_carrier(c2))). [resolve(30,a,106,b)].
% 11.20/11.51 306 -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | -in(B,f9(c2,A)) | element(f11(c2,A,B),powerset(the_carrier(c2))). [copy(305),unit_del(a,148)].
% 11.20/11.51 307 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | -in(B,f9(c2,A)) | f11(c2,A,B) = B. [resolve(30,a,107,b)].
% 11.20/11.51 308 -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | -in(B,f9(c2,A)) | f11(c2,A,B) = B. [copy(307),unit_del(a,148)].
% 11.20/11.51 309 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | -in(B,f9(c2,A)) | closed_subset(f11(c2,A,B),c2). [resolve(30,a,108,b)].
% 11.20/11.51 310 -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | -in(B,f9(c2,A)) | closed_subset(f11(c2,A,B),c2). [copy(309),unit_del(a,148)].
% 11.20/11.51 311 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | -in(B,f9(c2,A)) | subset(A,B). [resolve(30,a,109,b)].
% 11.20/11.51 312 -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | -in(B,f9(c2,A)) | subset(A,B). [copy(311),unit_del(a,148)].
% 11.20/11.51 313 -topological_space(c2) | -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | in(B,f9(c2,A)) | -in(C,powerset(the_carrier(c2))) | C != B | -element(D,powerset(the_carrier(c2))) | D != B | -closed_subset(D,c2) | -subset(A,B). [resolve(30,a,110,b)].
% 11.20/11.51 314 -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | in(B,f9(c2,A)) | -in(C,powerset(the_carrier(c2))) | C != B | -element(D,powerset(the_carrier(c2))) | D != B | -closed_subset(D,c2) | -subset(A,B). [copy(313),unit_del(a,148)].
% 11.20/11.51 428 -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | in(f10(c2,A,f12(f9(c2,A))),powerset(the_carrier(c2))) | in(f12(f9(c2,A)),powerset(the_carrier(c2))). [resolve(162,c,150,a)].
% 11.20/11.51 429 -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | f10(c2,A,f12(f9(c2,A))) = f12(f9(c2,A)) | f13(f9(c2,A)) = f12(f9(c2,A)). [resolve(164,c,152,a)].
% 11.20/11.51 430 -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | f10(c2,A,f12(f9(c2,A))) = f12(f9(c2,A)) | element(f13(f9(c2,A)),powerset(the_carrier(c2))). [resolve(164,c,151,a)].
% 11.20/11.51 432 -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | element(f11(c2,A,f12(f9(c2,A))),powerset(the_carrier(c2))) | f13(f9(c2,A)) = f12(f9(c2,A)). [resolve(166,c,152,a)].
% 11.20/11.51 433 -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | element(f11(c2,A,f12(f9(c2,A))),powerset(the_carrier(c2))) | element(f13(f9(c2,A)),powerset(the_carrier(c2))). [resolve(166,c,151,a)].
% 11.20/11.51 435 -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | f11(c2,A,f12(f9(c2,A))) = f12(f9(c2,A)) | f13(f9(c2,A)) = f12(f9(c2,A)). [resolve(168,c,152,a)].
% 11.20/11.51 436 -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | f11(c2,A,f12(f9(c2,A))) = f12(f9(c2,A)) | element(f13(f9(c2,A)),powerset(the_carrier(c2))). [resolve(168,c,151,a)].
% 11.20/11.51 438 -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | closed_subset(f11(c2,A,f12(f9(c2,A))),c2) | f13(f9(c2,A)) = f12(f9(c2,A)). [resolve(170,c,152,a)].
% 11.20/11.51 441 -element(A,powerset(the_carrier(c2))) | f5(c2,A) = f4(c2,A) | subset(A,f12(f9(c2,A))) | f13(f9(c2,A)) = f12(f9(c2,A)). [resolve(172,c,152,a)].
% 11.20/11.51 444 f5(c2,c3) = f4(c2,c3) | in(f12(A),f9(c2,c3)) | -in(B,powerset(the_carrier(c2))) | f12(A) != B | -element(C,powerset(the_carrier(c2))) | f12(A) != C | -closed_subset(C,c2) | in(f12(A),A). [resolve(174,i,154,b),flip(e),flip(g),unit_del(a,149)].
% 11.20/11.51 446 f5(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | -in(A,powerset(the_carrier(c2))) | f12(f9(c2,c3)) != A | -element(B,powerset(the_carrier(c2))) | f12(f9(c2,c3)) != B | -closed_subset(B,c2). [factor(444,b,h)].
% 11.20/11.51 450 f5(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | -in(A,powerset(the_carrier(c2))) | f12(f9(c2,c3)) != A | -element(A,powerset(the_carrier(c2))) | -closed_subset(A,c2). [factor(446,d,f)].
% 11.20/11.51 558 -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | in(f10(c2,A,f12(f9(c2,A))),powerset(the_carrier(c2))) | in(f12(f9(c2,A)),powerset(the_carrier(c2))). [resolve(232,c,150,a)].
% 11.20/11.51 559 -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | f10(c2,A,f12(f9(c2,A))) = f12(f9(c2,A)) | f13(f9(c2,A)) = f12(f9(c2,A)). [resolve(234,c,152,a)].
% 11.20/11.51 560 -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | f10(c2,A,f12(f9(c2,A))) = f12(f9(c2,A)) | element(f13(f9(c2,A)),powerset(the_carrier(c2))). [resolve(234,c,151,a)].
% 11.20/11.51 562 -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | element(f11(c2,A,f12(f9(c2,A))),powerset(the_carrier(c2))) | f13(f9(c2,A)) = f12(f9(c2,A)). [resolve(236,c,152,a)].
% 11.20/11.51 563 -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | element(f11(c2,A,f12(f9(c2,A))),powerset(the_carrier(c2))) | element(f13(f9(c2,A)),powerset(the_carrier(c2))). [resolve(236,c,151,a)].
% 11.20/11.51 565 -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | f11(c2,A,f12(f9(c2,A))) = f12(f9(c2,A)) | f13(f9(c2,A)) = f12(f9(c2,A)). [resolve(238,c,152,a)].
% 11.20/11.51 566 -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | f11(c2,A,f12(f9(c2,A))) = f12(f9(c2,A)) | element(f13(f9(c2,A)),powerset(the_carrier(c2))). [resolve(238,c,151,a)].
% 11.20/11.51 568 -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | closed_subset(f11(c2,A,f12(f9(c2,A))),c2) | f13(f9(c2,A)) = f12(f9(c2,A)). [resolve(240,c,152,a)].
% 11.20/11.51 571 -element(A,powerset(the_carrier(c2))) | f6(c2,A) = f4(c2,A) | subset(A,f12(f9(c2,A))) | f13(f9(c2,A)) = f12(f9(c2,A)). [resolve(242,c,152,a)].
% 11.20/11.51 574 f6(c2,c3) = f4(c2,c3) | in(f12(A),f9(c2,c3)) | -in(B,powerset(the_carrier(c2))) | f12(A) != B | -element(C,powerset(the_carrier(c2))) | f12(A) != C | -closed_subset(C,c2) | in(f12(A),A). [resolve(244,i,154,b),flip(e),flip(g),unit_del(a,149)].
% 11.20/11.51 576 f6(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | -in(A,powerset(the_carrier(c2))) | f12(f9(c2,c3)) != A | -element(B,powerset(the_carrier(c2))) | f12(f9(c2,c3)) != B | -closed_subset(B,c2). [factor(574,b,h)].
% 11.20/11.51 580 f6(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | -in(A,powerset(the_carrier(c2))) | f12(f9(c2,c3)) != A | -element(A,powerset(the_carrier(c2))) | -closed_subset(A,c2). [factor(576,d,f)].
% 11.20/11.51 688 -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | in(f10(c2,A,f12(f9(c2,A))),powerset(the_carrier(c2))) | in(f12(f9(c2,A)),powerset(the_carrier(c2))). [resolve(302,c,150,a)].
% 11.20/11.51 689 -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | f10(c2,A,f12(f9(c2,A))) = f12(f9(c2,A)) | f13(f9(c2,A)) = f12(f9(c2,A)). [resolve(304,c,152,a)].
% 11.20/11.51 690 -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | f10(c2,A,f12(f9(c2,A))) = f12(f9(c2,A)) | element(f13(f9(c2,A)),powerset(the_carrier(c2))). [resolve(304,c,151,a)].
% 11.20/11.51 692 -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | element(f11(c2,A,f12(f9(c2,A))),powerset(the_carrier(c2))) | f13(f9(c2,A)) = f12(f9(c2,A)). [resolve(306,c,152,a)].
% 11.20/11.51 693 -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | element(f11(c2,A,f12(f9(c2,A))),powerset(the_carrier(c2))) | element(f13(f9(c2,A)),powerset(the_carrier(c2))). [resolve(306,c,151,a)].
% 11.20/11.51 695 -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | f11(c2,A,f12(f9(c2,A))) = f12(f9(c2,A)) | f13(f9(c2,A)) = f12(f9(c2,A)). [resolve(308,c,152,a)].
% 11.20/11.51 696 -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | f11(c2,A,f12(f9(c2,A))) = f12(f9(c2,A)) | element(f13(f9(c2,A)),powerset(the_carrier(c2))). [resolve(308,c,151,a)].
% 11.20/11.51 698 -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | closed_subset(f11(c2,A,f12(f9(c2,A))),c2) | f13(f9(c2,A)) = f12(f9(c2,A)). [resolve(310,c,152,a)].
% 11.20/11.51 701 -element(A,powerset(the_carrier(c2))) | f6(c2,A) != f5(c2,A) | subset(A,f12(f9(c2,A))) | f13(f9(c2,A)) = f12(f9(c2,A)). [resolve(312,c,152,a)].
% 11.20/11.51 704 f6(c2,c3) != f5(c2,c3) | in(f12(A),f9(c2,c3)) | -in(B,powerset(the_carrier(c2))) | f12(A) != B | -element(C,powerset(the_carrier(c2))) | f12(A) != C | -closed_subset(C,c2) | in(f12(A),A). [resolve(314,i,154,b),flip(e),flip(g),unit_del(a,149)].
% 11.20/11.51 803 f5(c2,c3) = f4(c2,c3) | in(f10(c2,c3,f12(f9(c2,c3))),powerset(the_carrier(c2))) | in(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(428,a,149,a)].
% 11.20/11.51 813 f5(c2,c3) = f4(c2,c3) | f10(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [resolve(429,a,149,a)].
% 11.20/11.51 823 f5(c2,c3) = f4(c2,c3) | f10(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | element(f13(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(430,a,149,a)].
% 11.20/11.51 843 f5(c2,c3) = f4(c2,c3) | element(f11(c2,c3,f12(f9(c2,c3))),powerset(the_carrier(c2))) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [resolve(432,a,149,a)].
% 11.20/11.51 853 f5(c2,c3) = f4(c2,c3) | element(f11(c2,c3,f12(f9(c2,c3))),powerset(the_carrier(c2))) | element(f13(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(433,a,149,a)].
% 11.20/11.51 875 f5(c2,c3) = f4(c2,c3) | f11(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [resolve(435,a,149,a)].
% 11.20/11.51 884 f5(c2,c3) = f4(c2,c3) | f11(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | element(f13(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(436,a,149,a)].
% 11.20/11.51 906 f5(c2,c3) = f4(c2,c3) | closed_subset(f11(c2,c3,f12(f9(c2,c3))),c2) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [resolve(438,a,149,a)].
% 11.20/11.51 937 f5(c2,c3) = f4(c2,c3) | subset(c3,f12(f9(c2,c3))) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [resolve(441,a,149,a)].
% 11.20/11.51 971 f5(c2,c3) = f4(c2,c3) | in(f12(A),f9(c2,c3)) | -in(B,powerset(the_carrier(c2))) | f12(A) != B | -element(f13(C),powerset(the_carrier(c2))) | f13(C) != f12(A) | in(f12(A),A) | in(f12(C),C). [resolve(444,g,153,b),flip(f)].
% 11.20/11.51 1138 f5(c2,c3) = f4(c2,c3) | f13(f9(c2,c3)) = f12(f9(c2,c3)) | -in(f12(f9(c2,c3)),f9(c2,c3)) | -in(f12(f9(c2,c3)),powerset(the_carrier(c2))) | -element(A,powerset(the_carrier(c2))) | f12(f9(c2,c3)) != A | -closed_subset(A,c2). [resolve(937,b,156,f)].
% 11.20/11.51 3224 f6(c2,c3) = f4(c2,c3) | subset(c3,f12(f9(c2,c3))) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [resolve(571,a,149,a)].
% 11.20/11.51 3234 f6(c2,c3) = f4(c2,c3) | f13(f9(c2,c3)) = f12(f9(c2,c3)) | -in(f12(f9(c2,c3)),f9(c2,c3)) | -in(f12(f9(c2,c3)),powerset(the_carrier(c2))) | -element(A,powerset(the_carrier(c2))) | f12(f9(c2,c3)) != A | -closed_subset(A,c2). [resolve(3224,b,156,f)].
% 11.20/11.51 3618 f6(c2,c3) != f5(c2,c3) | subset(c3,f12(f9(c2,c3))) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [resolve(701,a,149,a)].
% 11.20/11.51 4069 f6(c2,c3) = f4(c2,c3) | in(f10(c2,c3,f12(f9(c2,c3))),powerset(the_carrier(c2))) | in(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(558,a,149,a)].
% 11.20/11.51 4226 f6(c2,c3) = f4(c2,c3) | f10(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [resolve(559,a,149,a)].
% 11.20/11.51 4509 f6(c2,c3) = f4(c2,c3) | f10(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | element(f13(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(560,a,149,a)].
% 11.20/11.51 4685 f6(c2,c3) = f4(c2,c3) | element(f11(c2,c3,f12(f9(c2,c3))),powerset(the_carrier(c2))) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [resolve(562,a,149,a)].
% 11.20/11.51 4972 f6(c2,c3) = f4(c2,c3) | element(f11(c2,c3,f12(f9(c2,c3))),powerset(the_carrier(c2))) | element(f13(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(563,a,149,a)].
% 11.20/11.51 5020 f6(c2,c3) = f4(c2,c3) | f11(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [resolve(565,a,149,a)].
% 11.20/11.51 5042 f6(c2,c3) = f4(c2,c3) | f11(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | element(f13(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(566,a,149,a)].
% 11.20/11.51 5222 f6(c2,c3) = f4(c2,c3) | closed_subset(f11(c2,c3,f12(f9(c2,c3))),c2) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [resolve(568,a,149,a)].
% 11.20/11.51 5357 f6(c2,c3) = f4(c2,c3) | in(f12(A),f9(c2,c3)) | -in(B,powerset(the_carrier(c2))) | f12(A) != B | -element(f13(C),powerset(the_carrier(c2))) | f13(C) != f12(A) | in(f12(A),A) | in(f12(C),C). [resolve(574,g,153,b),flip(f)].
% 11.20/11.51 5373 f6(c2,c3) = f4(c2,c3) | in(f12(A),f9(c2,c3)) | -in(B,powerset(the_carrier(c2))) | f12(A) != B | -element(f13(A),powerset(the_carrier(c2))) | f13(A) != f12(A) | in(f12(A),A). [factor(5357,g,h)].
% 11.20/11.51 10060 f6(c2,c3) != f5(c2,c3) | in(f10(c2,c3,f12(f9(c2,c3))),powerset(the_carrier(c2))) | in(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(688,a,149,a)].
% 11.20/11.51 10064 f6(c2,c3) != f5(c2,c3) | f10(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [resolve(689,a,149,a)].
% 11.20/11.51 10068 f6(c2,c3) != f5(c2,c3) | f10(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | element(f13(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(690,a,149,a)].
% 11.20/11.51 10076 f6(c2,c3) != f5(c2,c3) | element(f11(c2,c3,f12(f9(c2,c3))),powerset(the_carrier(c2))) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [resolve(692,a,149,a)].
% 11.20/11.51 10092 f6(c2,c3) != f5(c2,c3) | element(f11(c2,c3,f12(f9(c2,c3))),powerset(the_carrier(c2))) | element(f13(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(693,a,149,a)].
% 11.20/11.51 10112 f6(c2,c3) != f5(c2,c3) | f11(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [resolve(695,a,149,a)].
% 11.20/11.51 10116 f6(c2,c3) != f5(c2,c3) | f11(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | element(f13(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(696,a,149,a)].
% 11.20/11.51 10136 f6(c2,c3) != f5(c2,c3) | closed_subset(f11(c2,c3,f12(f9(c2,c3))),c2) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [resolve(698,a,149,a)].
% 11.20/11.51 10172 f6(c2,c3) != f5(c2,c3) | in(f12(A),f9(c2,c3)) | -in(B,powerset(the_carrier(c2))) | f12(A) != B | -element(f13(C),powerset(the_carrier(c2))) | f13(C) != f12(A) | in(f12(A),A) | in(f12(C),C). [resolve(704,g,153,b),flip(f)].
% 11.20/11.51 10177 f6(c2,c3) != f5(c2,c3) | in(f12(A),f9(c2,c3)) | -in(B,powerset(the_carrier(c2))) | f12(A) != B | -element(f13(A),powerset(the_carrier(c2))) | f13(A) != f12(A) | in(f12(A),A). [factor(10172,g,h)].
% 11.20/11.51 10425 f5(c2,c3) = f4(c2,c3) | f13(f9(c2,c3)) = f12(f9(c2,c3)) | in(f12(f9(c2,c3)),powerset(the_carrier(c2))). [para(813(b,1),803(b,1)),merge(c),merge(e)].
% 11.20/11.51 10444 f5(c2,c3) = f4(c2,c3) | f13(f9(c2,c3)) = f12(f9(c2,c3)) | closed_subset(f12(f9(c2,c3)),c2). [para(875(b,1),906(b,1)),merge(c),merge(e)].
% 11.20/11.51 10446 f5(c2,c3) = f4(c2,c3) | f13(f9(c2,c3)) = f12(f9(c2,c3)) | element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [para(875(b,1),843(b,1)),merge(c),merge(e)].
% 11.20/11.51 11517 f6(c2,c3) = f4(c2,c3) | f13(f9(c2,c3)) = f12(f9(c2,c3)) | in(f12(f9(c2,c3)),powerset(the_carrier(c2))). [para(4226(b,1),4069(b,1)),merge(c),merge(e)].
% 11.20/11.51 11542 f6(c2,c3) = f4(c2,c3) | f13(f9(c2,c3)) = f12(f9(c2,c3)) | closed_subset(f12(f9(c2,c3)),c2). [para(5020(b,1),5222(b,1)),merge(c),merge(e)].
% 11.20/11.51 11543 f6(c2,c3) = f4(c2,c3) | f13(f9(c2,c3)) = f12(f9(c2,c3)) | element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [para(5020(b,1),4685(b,1)),merge(c),merge(e)].
% 11.20/11.51 13969 f5(c2,c3) = f4(c2,c3) | in(f12(A),f9(c2,c3)) | f12(A) != f12(B) | -element(f13(C),powerset(the_carrier(c2))) | f13(C) != f12(A) | in(f12(A),A) | in(f12(C),C) | in(f12(B),B). [resolve(971,c,150,b)].
% 11.20/11.51 14017 f5(c2,c3) = f4(c2,c3) | in(f12(A),f9(c2,c3)) | f12(A) != f12(B) | -element(f13(A),powerset(the_carrier(c2))) | f13(A) != f12(A) | in(f12(A),A) | in(f12(B),B). [factor(13969,f,g)].
% 11.20/11.51 14020 f5(c2,c3) = f4(c2,c3) | in(f12(A),f9(c2,c3)) | -element(f13(A),powerset(the_carrier(c2))) | f13(A) != f12(A) | in(f12(A),A). [factor(14017,f,g),xx(c)].
% 11.20/11.51 14031 f5(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | f13(f9(c2,c3)) != f12(f9(c2,c3)) | f11(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)). [resolve(14020,c,884,c),merge(d),merge(e)].
% 11.20/11.51 14032 f5(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | f13(f9(c2,c3)) != f12(f9(c2,c3)) | f10(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)). [resolve(14020,c,823,c),merge(d),merge(e)].
% 11.20/11.51 15193 f5(c2,c3) = f4(c2,c3) | f13(f9(c2,c3)) = f12(f9(c2,c3)) | -in(f12(f9(c2,c3)),f9(c2,c3)) | -in(f12(f9(c2,c3)),powerset(the_carrier(c2))) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(1138,g,10444,c),xx(f),merge(f),merge(g)].
% 11.20/11.51 18515 f6(c2,c3) = f4(c2,c3) | in(f12(A),f9(c2,c3)) | f12(A) != f12(B) | -element(f13(A),powerset(the_carrier(c2))) | f13(A) != f12(A) | in(f12(A),A) | in(f12(B),B). [resolve(5373,c,150,b)].
% 11.20/11.51 18528 f6(c2,c3) = f4(c2,c3) | in(f12(A),f9(c2,c3)) | -element(f13(A),powerset(the_carrier(c2))) | f13(A) != f12(A) | in(f12(A),A). [factor(18515,f,g),xx(c)].
% 11.20/11.51 18533 f6(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | f13(f9(c2,c3)) != f12(f9(c2,c3)) | f11(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)). [resolve(18528,c,5042,c),merge(d),merge(e)].
% 11.20/11.51 18534 f6(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | f13(f9(c2,c3)) != f12(f9(c2,c3)) | f10(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)). [resolve(18528,c,4509,c),merge(d),merge(e)].
% 11.20/11.51 18962 f6(c2,c3) != f5(c2,c3) | in(f12(A),f9(c2,c3)) | f12(A) != f12(B) | -element(f13(A),powerset(the_carrier(c2))) | f13(A) != f12(A) | in(f12(A),A) | in(f12(B),B). [resolve(10177,c,150,b)].
% 11.20/11.51 18965 f6(c2,c3) != f5(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | -element(f13(f9(c2,c3)),powerset(the_carrier(c2))) | f13(f9(c2,c3)) != f12(f9(c2,c3)). [factor(18962,b,g),xx(c),merge(e)].
% 11.20/11.51 18966 f6(c2,c3) != f5(c2,c3) | in(f12(A),f9(c2,c3)) | -element(f13(A),powerset(the_carrier(c2))) | f13(A) != f12(A) | in(f12(A),A). [factor(18962,f,g),xx(c)].
% 11.20/11.51 20007 f5(c2,c3) = f4(c2,c3) | f13(f9(c2,c3)) = f12(f9(c2,c3)) | -in(f12(f9(c2,c3)),f9(c2,c3)) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(15193,d,10425,c),merge(e),merge(f)].
% 11.20/11.51 20008 f5(c2,c3) = f4(c2,c3) | f13(f9(c2,c3)) = f12(f9(c2,c3)) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(20007,c,152,a),merge(d)].
% 11.20/11.51 20012 f5(c2,c3) = f4(c2,c3) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [resolve(20008,c,10446,c),merge(c),merge(d)].
% 11.20/11.51 20023 f5(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | f10(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)). [resolve(20012,b,14032,c),merge(b)].
% 11.20/11.51 20024 f5(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | f11(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)). [resolve(20012,b,14031,c),merge(b)].
% 11.20/11.51 20025 f5(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | closed_subset(f12(f9(c2,c3)),c2). [para(20012(b,1),153(b,1))].
% 11.20/11.51 20168 f5(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | -in(f12(f9(c2,c3)),powerset(the_carrier(c2))) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(20025,c,450,f),xx(f),merge(c),merge(d)].
% 11.20/11.51 20227 f5(c2,c3) = f4(c2,c3) | f10(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)). [resolve(20023,b,164,c),merge(d),merge(e),unit_del(c,149)].
% 11.20/11.51 20229 f5(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),powerset(the_carrier(c2))). [para(20227(b,1),803(b,1)),merge(b),merge(d)].
% 11.20/11.51 20336 f5(c2,c3) = f4(c2,c3) | f11(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)). [resolve(20024,b,168,c),merge(d),merge(e),unit_del(c,149)].
% 11.20/11.51 20338 f5(c2,c3) = f4(c2,c3) | element(f12(f9(c2,c3)),powerset(the_carrier(c2))) | element(f13(f9(c2,c3)),powerset(the_carrier(c2))). [para(20336(b,1),853(b,1)),merge(b)].
% 11.20/11.51 20634 f5(c2,c3) = f4(c2,c3) | element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [para(20012(b,1),20338(c,1)),merge(b),merge(d)].
% 11.20/11.51 20880 f5(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(20168,c,20229,b),merge(d)].
% 11.20/11.51 20881 f5(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)). [resolve(20880,c,20634,b),merge(c)].
% 11.20/11.51 20922 f5(c2,c3) = f4(c2,c3) | subset(c3,f12(f9(c2,c3))). [resolve(20881,b,172,c),merge(c),unit_del(b,149)].
% 11.20/11.51 20923 f5(c2,c3) = f4(c2,c3) | closed_subset(f11(c2,c3,f12(f9(c2,c3))),c2). [resolve(20881,b,170,c),merge(c),unit_del(b,149)].
% 11.20/11.51 20927 f5(c2,c3) = f4(c2,c3) | -in(f12(f9(c2,c3)),f9(c2,c3)) | -in(f12(f9(c2,c3)),powerset(the_carrier(c2))) | -element(A,powerset(the_carrier(c2))) | f12(f9(c2,c3)) != A | -closed_subset(A,c2). [resolve(20922,b,156,f)].
% 11.20/11.51 20966 f5(c2,c3) = f4(c2,c3) | closed_subset(f12(f9(c2,c3)),c2). [para(20336(b,1),20923(b,1)),merge(b)].
% 11.20/11.51 21166 f5(c2,c3) = f4(c2,c3) | -in(f12(f9(c2,c3)),f9(c2,c3)) | -in(f12(f9(c2,c3)),powerset(the_carrier(c2))) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(20927,f,20966,b),xx(e),merge(e)].
% 11.20/11.51 21172 f5(c2,c3) = f4(c2,c3) | -in(f12(f9(c2,c3)),f9(c2,c3)) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(21166,c,20229,b),merge(d)].
% 11.20/11.51 21173 f5(c2,c3) = f4(c2,c3) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(21172,b,20881,b),merge(c)].
% 11.20/11.51 21174 f5(c2,c3) = f4(c2,c3). [resolve(21173,b,20634,b),merge(b)].
% 11.20/11.51 21200 f6(c2,c3) != f4(c2,c3) | in(f12(A),f9(c2,c3)) | -element(f13(A),powerset(the_carrier(c2))) | f13(A) != f12(A) | in(f12(A),A). [back_rewrite(18966),rewrite([21174(6)])].
% 11.20/11.51 21201 f6(c2,c3) != f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | -element(f13(f9(c2,c3)),powerset(the_carrier(c2))) | f13(f9(c2,c3)) != f12(f9(c2,c3)). [back_rewrite(18965),rewrite([21174(6)])].
% 11.20/11.51 21615 f6(c2,c3) != f4(c2,c3) | closed_subset(f11(c2,c3,f12(f9(c2,c3))),c2) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [back_rewrite(10136),rewrite([21174(6)])].
% 11.20/11.51 21617 f6(c2,c3) != f4(c2,c3) | f11(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | element(f13(f9(c2,c3)),powerset(the_carrier(c2))). [back_rewrite(10116),rewrite([21174(6)])].
% 11.20/11.51 21618 f6(c2,c3) != f4(c2,c3) | f11(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [back_rewrite(10112),rewrite([21174(6)])].
% 11.20/11.51 21620 f6(c2,c3) != f4(c2,c3) | element(f11(c2,c3,f12(f9(c2,c3))),powerset(the_carrier(c2))) | element(f13(f9(c2,c3)),powerset(the_carrier(c2))). [back_rewrite(10092),rewrite([21174(6)])].
% 11.20/11.51 21621 f6(c2,c3) != f4(c2,c3) | element(f11(c2,c3,f12(f9(c2,c3))),powerset(the_carrier(c2))) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [back_rewrite(10076),rewrite([21174(6)])].
% 11.20/11.51 21623 f6(c2,c3) != f4(c2,c3) | f10(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | element(f13(f9(c2,c3)),powerset(the_carrier(c2))). [back_rewrite(10068),rewrite([21174(6)])].
% 11.20/11.51 21624 f6(c2,c3) != f4(c2,c3) | f10(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [back_rewrite(10064),rewrite([21174(6)])].
% 11.20/11.51 21625 f6(c2,c3) != f4(c2,c3) | in(f10(c2,c3,f12(f9(c2,c3))),powerset(the_carrier(c2))) | in(f12(f9(c2,c3)),powerset(the_carrier(c2))). [back_rewrite(10060),rewrite([21174(6)])].
% 11.20/11.51 21859 f6(c2,c3) != f4(c2,c3) | subset(c3,f12(f9(c2,c3))) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [back_rewrite(3618),rewrite([21174(6)])].
% 11.20/11.51 25181 f6(c2,c3) = f4(c2,c3) | f13(f9(c2,c3)) = f12(f9(c2,c3)) | -in(f12(f9(c2,c3)),f9(c2,c3)) | -in(f12(f9(c2,c3)),powerset(the_carrier(c2))) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(3234,g,11542,c),xx(f),merge(f),merge(g)].
% 11.20/11.51 25301 f6(c2,c3) = f4(c2,c3) | f13(f9(c2,c3)) = f12(f9(c2,c3)) | -in(f12(f9(c2,c3)),f9(c2,c3)) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(25181,d,11517,c),merge(e),merge(f)].
% 11.20/11.51 25302 f6(c2,c3) = f4(c2,c3) | f13(f9(c2,c3)) = f12(f9(c2,c3)) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(25301,c,152,a),merge(d)].
% 11.20/11.51 25304 f6(c2,c3) = f4(c2,c3) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [resolve(25302,c,11543,c),merge(c),merge(d)].
% 11.20/11.51 25311 f6(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | f10(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)). [resolve(25304,b,18534,c),merge(b)].
% 11.20/11.51 25312 f6(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | f11(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)). [resolve(25304,b,18533,c),merge(b)].
% 11.20/11.51 25313 f6(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | closed_subset(f12(f9(c2,c3)),c2). [para(25304(b,1),153(b,1))].
% 11.20/11.51 25469 f6(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | -in(f12(f9(c2,c3)),powerset(the_carrier(c2))) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(25313,c,580,f),xx(f),merge(c),merge(d)].
% 11.20/11.51 25503 f6(c2,c3) = f4(c2,c3) | f10(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)). [resolve(25311,b,234,c),merge(d),merge(e),unit_del(c,149)].
% 11.20/11.51 25506 f6(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),powerset(the_carrier(c2))). [para(25503(b,1),4069(b,1)),merge(b),merge(d)].
% 11.20/11.51 25583 f6(c2,c3) = f4(c2,c3) | f11(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)). [resolve(25312,b,238,c),merge(d),merge(e),unit_del(c,149)].
% 11.20/11.51 25585 f6(c2,c3) = f4(c2,c3) | element(f12(f9(c2,c3)),powerset(the_carrier(c2))) | element(f13(f9(c2,c3)),powerset(the_carrier(c2))). [para(25583(b,1),4972(b,1)),merge(b)].
% 11.20/11.51 25902 f6(c2,c3) = f4(c2,c3) | element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [para(25304(b,1),25585(c,1)),merge(b),merge(d)].
% 11.20/11.51 26179 f6(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(25469,c,25506,b),merge(d)].
% 11.20/11.51 26180 f6(c2,c3) = f4(c2,c3) | in(f12(f9(c2,c3)),f9(c2,c3)). [resolve(26179,c,25902,b),merge(c)].
% 11.20/11.51 26197 f6(c2,c3) = f4(c2,c3) | subset(c3,f12(f9(c2,c3))). [resolve(26180,b,242,c),merge(c),unit_del(b,149)].
% 11.20/11.51 26198 f6(c2,c3) = f4(c2,c3) | closed_subset(f11(c2,c3,f12(f9(c2,c3))),c2). [resolve(26180,b,240,c),merge(c),unit_del(b,149)].
% 11.20/11.51 26202 f6(c2,c3) = f4(c2,c3) | -in(f12(f9(c2,c3)),f9(c2,c3)) | -in(f12(f9(c2,c3)),powerset(the_carrier(c2))) | -element(A,powerset(the_carrier(c2))) | f12(f9(c2,c3)) != A | -closed_subset(A,c2). [resolve(26197,b,156,f)].
% 11.20/11.51 26243 f6(c2,c3) = f4(c2,c3) | closed_subset(f12(f9(c2,c3)),c2). [para(25583(b,1),26198(b,1)),merge(b)].
% 11.20/11.51 26587 f6(c2,c3) = f4(c2,c3) | -in(f12(f9(c2,c3)),f9(c2,c3)) | -in(f12(f9(c2,c3)),powerset(the_carrier(c2))) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(26202,f,26243,b),xx(e),merge(e)].
% 11.20/11.51 26593 f6(c2,c3) = f4(c2,c3) | -in(f12(f9(c2,c3)),f9(c2,c3)) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(26587,c,25506,b),merge(d)].
% 11.20/11.52 26594 f6(c2,c3) = f4(c2,c3) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(26593,b,26180,b),merge(c)].
% 11.20/11.52 26595 f6(c2,c3) = f4(c2,c3). [resolve(26594,b,25902,b),merge(b)].
% 11.20/11.52 26617 subset(c3,f12(f9(c2,c3))) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [back_rewrite(21859),rewrite([26595(3)]),xx(a)].
% 11.20/11.52 26620 in(f10(c2,c3,f12(f9(c2,c3))),powerset(the_carrier(c2))) | in(f12(f9(c2,c3)),powerset(the_carrier(c2))). [back_rewrite(21625),rewrite([26595(3)]),xx(a)].
% 11.20/11.52 26621 f10(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [back_rewrite(21624),rewrite([26595(3)]),xx(a)].
% 11.20/11.52 26622 f10(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | element(f13(f9(c2,c3)),powerset(the_carrier(c2))). [back_rewrite(21623),rewrite([26595(3)]),xx(a)].
% 11.20/11.52 26624 element(f11(c2,c3,f12(f9(c2,c3))),powerset(the_carrier(c2))) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [back_rewrite(21621),rewrite([26595(3)]),xx(a)].
% 11.20/11.52 26625 element(f11(c2,c3,f12(f9(c2,c3))),powerset(the_carrier(c2))) | element(f13(f9(c2,c3)),powerset(the_carrier(c2))). [back_rewrite(21620),rewrite([26595(3)]),xx(a)].
% 11.20/11.52 26627 f11(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [back_rewrite(21618),rewrite([26595(3)]),xx(a)].
% 11.20/11.52 26628 f11(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)) | element(f13(f9(c2,c3)),powerset(the_carrier(c2))). [back_rewrite(21617),rewrite([26595(3)]),xx(a)].
% 11.20/11.52 26630 closed_subset(f11(c2,c3,f12(f9(c2,c3))),c2) | f13(f9(c2,c3)) = f12(f9(c2,c3)). [back_rewrite(21615),rewrite([26595(3)]),xx(a)].
% 11.20/11.52 26641 in(f12(f9(c2,c3)),f9(c2,c3)) | -element(f13(f9(c2,c3)),powerset(the_carrier(c2))) | f13(f9(c2,c3)) != f12(f9(c2,c3)). [back_rewrite(21201),rewrite([26595(3)]),xx(a)].
% 11.20/11.52 26642 in(f12(A),f9(c2,c3)) | -element(f13(A),powerset(the_carrier(c2))) | f13(A) != f12(A) | in(f12(A),A). [back_rewrite(21200),rewrite([26595(3)]),xx(a)].
% 11.20/11.52 27765 f13(f9(c2,c3)) = f12(f9(c2,c3)) | -in(f12(f9(c2,c3)),f9(c2,c3)) | -in(f12(f9(c2,c3)),powerset(the_carrier(c2))) | -element(A,powerset(the_carrier(c2))) | f12(f9(c2,c3)) != A | -closed_subset(A,c2). [resolve(26617,a,156,f)].
% 11.20/11.52 32876 f13(f9(c2,c3)) = f12(f9(c2,c3)) | in(f12(f9(c2,c3)),powerset(the_carrier(c2))). [para(26621(a,1),26620(a,1)),merge(c)].
% 11.20/11.52 32973 f13(f9(c2,c3)) = f12(f9(c2,c3)) | closed_subset(f12(f9(c2,c3)),c2). [para(26627(a,1),26630(a,1)),merge(c)].
% 11.20/11.52 32975 f13(f9(c2,c3)) = f12(f9(c2,c3)) | element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [para(26627(a,1),26624(a,1)),merge(c)].
% 11.20/11.52 33351 in(f12(f9(c2,c3)),f9(c2,c3)) | f13(f9(c2,c3)) != f12(f9(c2,c3)) | f11(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)). [resolve(26642,b,26628,b),merge(c)].
% 11.20/11.52 33352 in(f12(f9(c2,c3)),f9(c2,c3)) | f13(f9(c2,c3)) != f12(f9(c2,c3)) | f10(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)). [resolve(26642,b,26622,b),merge(c)].
% 11.20/11.52 35864 f13(f9(c2,c3)) = f12(f9(c2,c3)) | -in(f12(f9(c2,c3)),f9(c2,c3)) | -in(f12(f9(c2,c3)),powerset(the_carrier(c2))) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(27765,f,32973,b),xx(e),merge(e)].
% 11.20/11.52 35936 f13(f9(c2,c3)) = f12(f9(c2,c3)) | -in(f12(f9(c2,c3)),f9(c2,c3)) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(35864,c,32876,b),merge(d)].
% 11.20/11.52 35937 f13(f9(c2,c3)) = f12(f9(c2,c3)) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [resolve(35936,b,152,a),merge(c)].
% 11.20/11.52 35938 f13(f9(c2,c3)) = f12(f9(c2,c3)). [resolve(35937,b,32975,b),merge(b)].
% 11.20/11.52 36204 in(f12(f9(c2,c3)),f9(c2,c3)) | f10(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)). [back_rewrite(33352),rewrite([35938(12)]),xx(b)].
% 11.20/11.52 36205 in(f12(f9(c2,c3)),f9(c2,c3)) | f11(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)). [back_rewrite(33351),rewrite([35938(12)]),xx(b)].
% 11.20/11.52 37240 in(f12(f9(c2,c3)),f9(c2,c3)) | -element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [back_rewrite(26641),rewrite([35938(12),35938(20)]),xx(c)].
% 11.20/11.52 37243 element(f11(c2,c3,f12(f9(c2,c3))),powerset(the_carrier(c2))) | element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [back_rewrite(26625),rewrite([35938(15)])].
% 11.20/11.52 37315 f10(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)). [resolve(36204,a,304,c),rewrite([26595(20),21174(23)]),xx(c),merge(c),unit_del(b,149)].
% 11.20/11.52 37600 in(f12(f9(c2,c3)),powerset(the_carrier(c2))). [back_rewrite(26620),rewrite([37315(7)]),merge(b)].
% 11.20/11.52 37895 f11(c2,c3,f12(f9(c2,c3))) = f12(f9(c2,c3)). [resolve(36205,a,308,c),rewrite([26595(20),21174(23)]),xx(c),merge(c),unit_del(b,149)].
% 11.20/11.52 37907 element(f12(f9(c2,c3)),powerset(the_carrier(c2))). [back_rewrite(37243),rewrite([37895(7)]),merge(b)].
% 11.20/11.52 37908 in(f12(f9(c2,c3)),f9(c2,c3)). [back_unit_del(37240),unit_del(b,37907)].
% 11.20/11.52 38180 subset(c3,f12(f9(c2,c3))). [resolve(37908,a,312,c),rewrite([26595(8),21174(11)]),xx(b),unit_del(a,149)].
% 11.20/11.52 38181 closed_subset(f12(f9(c2,c3)),c2). [resolve(37908,a,310,c),rewrite([26595(8),21174(11),37895(19)]),xx(b),unit_del(a,149)].
% 11.20/11.52 38183 -element(A,powerset(the_carrier(c2))) | f12(f9(c2,c3)) != A | -closed_subset(A,c2). [resolve(38180,a,156,f),unit_del(a,37908),unit_del(b,37600)].
% 11.20/11.52 38207 $F. [resolve(38183,c,38181,a),xx(b),unit_del(a,37907)].
% 11.20/11.52
% 11.20/11.52 % SZS output end Refutation
% 11.20/11.52 ============================== end of proof ==========================
% 11.20/11.52
% 11.20/11.52 ============================== STATISTICS ============================
% 11.20/11.52
% 11.20/11.52 Given=6336. Generated=193673. Kept=38016. proofs=1.
% 11.20/11.52 Usable=2707. Sos=4970. Demods=6. Limbo=0, Disabled=30560. Hints=0.
% 11.20/11.52 Megabytes=63.47.
% 11.20/11.52 User_CPU=10.40, System_CPU=0.13, Wall_clock=11.
% 11.20/11.52
% 11.20/11.52 ============================== end of statistics =====================
% 11.20/11.52
% 11.20/11.52 ============================== end of search =========================
% 11.20/11.52
% 11.20/11.52 THEOREM PROVED
% 11.20/11.52 % SZS status Theorem
% 11.20/11.52
% 11.20/11.52 Exiting with 1 proof.
% 11.20/11.52
% 11.20/11.52 Process 29555 exit (max_proofs) Mon Jun 20 06:26:51 2022
% 11.20/11.52 Prover9 interrupted
%------------------------------------------------------------------------------