TSTP Solution File: ALG233+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : ALG233+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n027.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 : Thu Jul 14 17:54:12 EDT 2022
% Result : Timeout 300.08s 300.33s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG233+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 07:02:57 EDT 2022
% 0.19/0.33 % CPUTime :
% 0.42/1.04 ============================== Prover9 ===============================
% 0.42/1.04 Prover9 (32) version 2009-11A, November 2009.
% 0.42/1.04 Process 22204 was started by sandbox2 on n027.cluster.edu,
% 0.42/1.04 Thu Jun 9 07:02:58 2022
% 0.42/1.04 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_22051_n027.cluster.edu".
% 0.42/1.04 ============================== end of head ===========================
% 0.42/1.04
% 0.42/1.04 ============================== INPUT =================================
% 0.42/1.04
% 0.42/1.04 % Reading from file /tmp/Prover9_22051_n027.cluster.edu
% 0.42/1.04
% 0.42/1.04 set(prolog_style_variables).
% 0.42/1.04 set(auto2).
% 0.42/1.04 % set(auto2) -> set(auto).
% 0.42/1.04 % set(auto) -> set(auto_inference).
% 0.42/1.04 % set(auto) -> set(auto_setup).
% 0.42/1.04 % set(auto_setup) -> set(predicate_elim).
% 0.42/1.04 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/1.04 % set(auto) -> set(auto_limits).
% 0.42/1.04 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/1.04 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/1.04 % set(auto) -> set(auto_denials).
% 0.42/1.04 % set(auto) -> set(auto_process).
% 0.42/1.04 % set(auto2) -> assign(new_constants, 1).
% 0.42/1.04 % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/1.04 % set(auto2) -> assign(max_weight, "200.000").
% 0.42/1.04 % set(auto2) -> assign(max_hours, 1).
% 0.42/1.04 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/1.04 % set(auto2) -> assign(max_seconds, 0).
% 0.42/1.04 % set(auto2) -> assign(max_minutes, 5).
% 0.42/1.04 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/1.04 % set(auto2) -> set(sort_initial_sos).
% 0.42/1.04 % set(auto2) -> assign(sos_limit, -1).
% 0.42/1.04 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/1.04 % set(auto2) -> assign(max_megs, 400).
% 0.42/1.04 % set(auto2) -> assign(stats, some).
% 0.42/1.04 % set(auto2) -> clear(echo_input).
% 0.42/1.04 % set(auto2) -> set(quiet).
% 0.42/1.04 % set(auto2) -> clear(print_initial_clauses).
% 0.42/1.04 % set(auto2) -> clear(print_given).
% 0.42/1.04 assign(lrs_ticks,-1).
% 0.42/1.04 assign(sos_limit,10000).
% 0.42/1.04 assign(order,kbo).
% 0.42/1.04 set(lex_order_vars).
% 0.42/1.04 clear(print_given).
% 0.42/1.04
% 0.42/1.04 % formulas(sos). % not echoed (87 formulas)
% 0.42/1.04
% 0.42/1.04 ============================== end of input ==========================
% 0.42/1.04
% 0.42/1.04 % From the command line: assign(max_seconds, 300).
% 0.42/1.04
% 0.42/1.04 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/1.04
% 0.42/1.04 % Formulas that are not ordinary clauses:
% 0.42/1.04 1 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 2 (all A (v1_xboole_0(A) -> v1_fraenkel(A))) # label(cc1_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 3 (all A (v1_xboole_0(A) -> v1_finset_1(A))) # label(cc1_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 4 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 5 (all A all B (m1_pboole(B,A) -> (v3_relat_1(B) -> v1_pre_circ(B,A)))) # label(cc1_mssubfam) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 6 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> (v2_relat_1(B) -> -v3_relat_1(B)))))) # label(cc1_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 7 (all A all B (m1_pboole(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> (v2_closure2(C,A,B) -> v1_fraenkel(C) & v1_closure2(C,A,B)))))) # label(cc2_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 8 (all A (v1_finset_1(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> v1_finset_1(B))))) # label(cc2_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 9 (all A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A) -> v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 10 (all A all B (v1_pre_circ(B,A) & m1_pboole(B,A) -> (all C (m4_pboole(C,A,B) -> v1_pre_circ(C,A))))) # label(cc2_mssubfam) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 11 (all A (-v1_xboole_0(A) -> (all B (m1_pboole(B,A) -> (v3_relat_1(B) -> -v2_relat_1(B)))))) # label(cc2_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 12 (all A all B (m1_pboole(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> (v4_closure2(C,A,B) -> v1_fraenkel(C) & v3_closure2(C,A,B)))))) # label(cc3_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 13 (all A all B (m1_pboole(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> (v4_closure2(C,A,B) -> v1_fraenkel(C) & v5_closure2(C,A,B)))))) # label(cc4_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 14 (all A all B (m1_pboole(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> (v5_closure2(C,A,B) -> -v1_xboole_0(C) & v1_fraenkel(C)))))) # label(cc5_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 15 (all A all B (m1_pboole(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> (v2_closure2(C,A,B) -> v1_fraenkel(C) & v6_closure2(C,A,B)))))) # label(cc6_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 16 (all A all B (m1_pboole(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> (v6_closure2(C,A,B) -> -v1_xboole_0(C) & v1_fraenkel(C)))))) # label(cc7_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 17 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r6_pboole(A,B,C) <-> r2_pboole(A,B,C) & r2_pboole(A,C,B)))))) # label(d13_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 18 (all A all B (r1_tarski(A,B) <-> (all C (r2_hidden(C,A) -> r2_hidden(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 19 (all A all B (m1_pboole(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> (all D (m4_pboole(D,A,B) -> (D = k2_closure3(A,B,C) <-> (all E (r2_hidden(E,A) -> k1_funct_1(D,E) = k3_tarski(a_4_0_closure3(A,B,C,E))))))))))) # label(d4_closure3) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 20 (all A all B (B = k3_tarski(A) <-> (all C (r2_hidden(C,B) <-> (exists D (r2_hidden(C,D) & r2_hidden(D,A))))))) # label(d4_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 21 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (r2_pboole(A,B,C) <-> (all D (r2_hidden(D,A) -> r1_tarski(k1_funct_1(B,D),k1_funct_1(C,D))))))))) # label(d5_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 22 $T # label(dt_k1_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 23 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 24 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 25 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 26 (all A all B all C (m1_pboole(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> m4_pboole(k2_closure3(A,B,C),A,B))) # label(dt_k2_closure3) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 27 $T # label(dt_k3_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 28 (all A all B (m1_pboole(B,A) -> v1_closure2(k6_closure2(A,B),A,B) & v2_closure2(k6_closure2(A,B),A,B) & v3_closure2(k6_closure2(A,B),A,B) & v4_closure2(k6_closure2(A,B),A,B) & v5_closure2(k6_closure2(A,B),A,B) & v6_closure2(k6_closure2(A,B),A,B) & m1_subset_1(k6_closure2(A,B),k1_zfmisc_1(k1_closure2(A,B))))) # label(dt_k6_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 29 (all A all B all C (m1_pboole(B,A) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> (all D (m1_closure2(D,A,B,C) -> m4_pboole(D,A,B))))) # label(dt_m1_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 30 (all A all B all C (m1_pboole(B,A) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> (all D (m1_closure3(D,A,B,C) -> m1_pboole(D,A))))) # label(dt_m1_closure3) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 31 (all A all B (m1_pboole(B,A) -> v1_relat_1(B) & v1_funct_1(B))) # label(dt_m1_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 32 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 33 (all A all B (m1_pboole(B,A) -> (all C (m4_pboole(C,A,B) -> m1_pboole(C,A))))) # label(dt_m4_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 34 (all A all B all C (m1_pboole(B,A) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> (exists D m1_closure2(D,A,B,C)))) # label(existence_m1_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 35 (all A all B all C (m1_pboole(B,A) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> (exists D m1_closure3(D,A,B,C)))) # label(existence_m1_closure3) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 36 (all A exists B m1_pboole(B,A)) # label(existence_m1_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 37 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 38 (all A all B (m1_pboole(B,A) -> (exists C m4_pboole(C,A,B)))) # label(existence_m4_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 39 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 40 (all A all B (m1_pboole(B,A) -> -v1_xboole_0(k1_closure2(A,B)) & v1_fraenkel(k1_closure2(A,B)) & v1_pralg_2(k1_closure2(A,B)))) # label(fc2_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 41 (all A all B all C (m1_pboole(B,A) & v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> v1_relat_1(k2_closure3(A,B,C)) & v3_relat_1(k2_closure3(A,B,C)) & v1_funct_1(k2_closure3(A,B,C)) & v1_pre_circ(k2_closure3(A,B,C),A))) # label(fc2_closure3) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 42 (all A all B all C (-v1_xboole_0(A) & v2_relat_1(B) & m1_pboole(B,A) & m1_subset_1(C,A) -> -v1_xboole_0(k1_funct_1(B,C)))) # label(fc2_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 43 (all A all B all C all D (m1_pboole(C,B) -> (r2_hidden(A,a_3_0_closure3(B,C,D)) <-> (exists E (m1_subset_1(E,k1_zfmisc_1(k1_closure2(B,C))) & A = k2_closure3(B,C,E) & r2_hidden(E,D)))))) # label(fraenkel_a_3_0_closure3) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 44 (all A all B all C all D all E (m1_pboole(C,B) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(B,C))) -> (r2_hidden(A,a_4_0_closure3(B,C,D,E)) <-> (exists F (m1_closure2(F,B,C,k6_closure2(B,C)) & A = k1_funct_1(F,E) & r2_hidden(F,D)))))) # label(fraenkel_a_4_0_closure3) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 45 (all A all B all C all D all E (m1_pboole(C,B) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(B,C))) -> (r2_hidden(A,a_4_4_closure3(B,C,D,E)) <-> (exists F (m1_closure3(F,B,C,k6_closure2(B,C)) & A = k1_funct_1(F,E) & r2_hidden(F,D)))))) # label(fraenkel_a_4_4_closure3) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 46 (all A all B all C all D all E (m1_pboole(C,B) & m1_subset_1(E,k1_zfmisc_1(k1_closure2(B,C))) -> (r2_hidden(A,a_4_5_closure3(B,C,D,E)) <-> (exists F (m1_closure3(F,B,C,k6_closure2(B,C)) & A = k1_funct_1(F,D) & r2_hidden(F,E)))))) # label(fraenkel_a_4_5_closure3) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 47 (all A all B all C all D all E (m1_pboole(C,B) -> (r2_hidden(A,a_4_6_closure3(B,C,D,E)) <-> (exists F (m1_closure3(F,B,C,k6_closure2(B,C)) & A = k1_funct_1(F,E) & r2_hidden(F,k3_tarski(D))))))) # label(fraenkel_a_4_6_closure3) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 48 (exists A (v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_finset_1(A) & v1_fraenkel(A))) # label(rc1_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 49 (exists A (-v1_xboole_0(A) & v1_finset_1(A))) # label(rc1_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 50 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 51 (all A all B (m1_pboole(B,A) -> (exists C (m4_pboole(C,A,B) & v1_relat_1(C) & v3_relat_1(C) & v1_funct_1(C) & v1_pre_circ(C,A))))) # label(rc1_mssubfam) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 52 (exists A (v1_relat_1(A) & v3_relat_1(A) & v1_funct_1(A))) # label(rc1_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 53 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B))))) # label(rc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 54 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 55 (all A all B (m1_pboole(B,A) -> (exists C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) & -v1_xboole_0(C) & v1_fraenkel(C) & v1_pralg_2(C))))) # label(rc2_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 56 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 57 (all A exists B (m1_pboole(B,A) & v1_relat_1(B) & v3_relat_1(B) & v1_funct_1(B))) # label(rc2_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 58 (all A exists B (m1_subset_1(B,k1_zfmisc_1(A)) & v1_xboole_0(B))) # label(rc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 59 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 60 (all A all B (m1_pboole(B,A) -> (exists C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) & v1_xboole_0(C) & v1_relat_1(C) & v1_funct_1(C) & v2_funct_1(C) & v1_finset_1(C) & v1_fraenkel(C))))) # label(rc3_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 61 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) & v1_finset_1(B))))) # label(rc3_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 62 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 63 (all A exists B (m1_pboole(B,A) & v1_relat_1(B) & v2_relat_1(B) & v1_funct_1(B))) # label(rc3_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 64 (all A all B (m1_pboole(B,A) -> (exists C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) & -v1_xboole_0(C) & v1_fraenkel(C) & v1_pralg_2(C) & v1_closure2(C,A,B) & v2_closure2(C,A,B) & v3_closure2(C,A,B) & v4_closure2(C,A,B) & v5_closure2(C,A,B) & v6_closure2(C,A,B))))) # label(rc4_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 65 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B) & v1_finset_1(B))))) # label(rc4_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 66 (exists A (v1_relat_1(A) & v3_relat_1(A) & v1_funct_1(A))) # label(rc4_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 67 (exists A (v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A))) # label(rc5_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 68 (all A all B (v2_relat_1(B) & m1_pboole(B,A) -> (exists C (m4_pboole(C,A,B) & v1_relat_1(C) & v2_relat_1(C) & v1_funct_1(C))))) # label(rc5_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 69 (all A all B (m1_pboole(B,A) -> k6_closure2(A,B) = k1_closure2(A,B))) # label(redefinition_k6_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 70 (all A all B all C (m1_pboole(B,A) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> (all D (m1_closure2(D,A,B,C) <-> m1_subset_1(D,C))))) # label(redefinition_m1_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 71 (all A all B all C (m1_pboole(B,A) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> (all D (m1_closure3(D,A,B,C) <-> m1_subset_1(D,C))))) # label(redefinition_m1_closure3) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 72 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> (r6_pboole(A,B,C) <-> B = C))) # label(redefinition_r6_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 73 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 74 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> r2_pboole(A,B,B))) # label(reflexivity_r2_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 75 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> r6_pboole(A,B,B))) # label(reflexivity_r6_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 76 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> (r6_pboole(A,B,C) -> r6_pboole(A,C,B)))) # label(symmetry_r6_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 77 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 78 (all A all B (m1_subset_1(A,B) -> v1_xboole_0(B) | r2_hidden(A,B))) # label(t2_subset) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 79 (all A all B ((all C (r2_hidden(C,A) <-> r2_hidden(C,B))) -> A = B)) # label(t2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 80 (all A all B (m1_subset_1(A,k1_zfmisc_1(B)) <-> r1_tarski(A,B))) # label(t3_subset) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 81 (all A all B all C (r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) -> m1_subset_1(A,C))) # label(t4_subset) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 82 (all A all B all C -(r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) & v1_xboole_0(C))) # label(t5_subset) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 83 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 84 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 85 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 86 -(all A all B (m1_pboole(B,A) -> (all C ((all D (r2_hidden(D,C) -> m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) -> (all E (m1_subset_1(E,k1_zfmisc_1(k1_closure2(A,B))) -> (E = a_3_0_closure3(A,B,C) & D = k3_tarski(C) -> r6_pboole(A,k2_closure3(A,B,E),k2_closure3(A,B,D))))))))))) # label(t14_closure3) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.42/1.05
% 0.42/1.05 ============================== end of process non-clausal formulas ===
% 0.42/1.05
% 0.42/1.05 ============================== PROCESS INITIAL CLAUSES ===============
% 0.42/1.05
% 0.42/1.05 ============================== PREDICATE ELIMINATION =================
% 0.42/1.05 87 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(9)].
% 0.42/1.05 88 -v1_xboole_0(A) | v1_funct_1(A) # label(cc1_funct_1) # label(axiom). [clausify(4)].
% 0.42/1.05 Derived: -v1_relat_1(A) | -v1_xboole_0(A) | v2_funct_1(A) | -v1_xboole_0(A). [resolve(87,c,88,b)].
% 0.42/1.05 89 -m1_pboole(A,B) | v1_funct_1(A) # label(dt_m1_pboole) # label(axiom). [clausify(31)].
% 0.42/1.05 90 -m1_pboole(A,B) | -v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | v1_funct_1(k2_closure3(B,A,C)) # label(fc2_closure3) # label(axiom). [clausify(41)].
% 0.42/1.05 91 v1_funct_1(c1) # label(rc1_closure2) # label(axiom). [clausify(48)].
% 0.42/1.05 92 v1_funct_1(c3) # label(rc1_funct_1) # label(axiom). [clausify(50)].
% 0.42/1.05 93 -m1_pboole(A,B) | v1_funct_1(f17(B,A)) # label(rc1_mssubfam) # label(axiom). [clausify(51)].
% 0.42/1.05 94 v1_funct_1(c4) # label(rc1_pboole) # label(axiom). [clausify(52)].
% 0.42/1.05 95 v1_funct_1(c6) # label(rc2_funct_1) # label(axiom). [clausify(56)].
% 0.42/1.05 96 v1_funct_1(f20(A)) # label(rc2_pboole) # label(axiom). [clausify(57)].
% 0.42/1.05 97 -m1_pboole(A,B) | v1_funct_1(f22(B,A)) # label(rc3_closure2) # label(axiom). [clausify(60)].
% 0.42/1.05 98 v1_funct_1(c8) # label(rc3_funct_1) # label(axiom). [clausify(62)].
% 0.42/1.05 99 v1_funct_1(f24(A)) # label(rc3_pboole) # label(axiom). [clausify(63)].
% 0.42/1.05 100 v1_funct_1(c9) # label(rc4_funct_1) # label(axiom). [clausify(66)].
% 0.42/1.05 101 v1_funct_1(c10) # label(rc5_funct_1) # label(axiom). [clausify(67)].
% 0.42/1.05 102 -v2_relat_1(A) | -m1_pboole(A,B) | v1_funct_1(f27(B,A)) # label(rc5_pboole) # label(axiom). [clausify(68)].
% 0.42/1.05 103 -m1_pboole(A,B) | -v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | v3_relat_1(k2_closure3(B,A,C)) # label(fc2_closure3) # label(axiom). [clausify(41)].
% 0.42/1.05 104 -m1_pboole(A,B) | -v3_relat_1(A) | v1_pre_circ(A,B) # label(cc1_mssubfam) # label(axiom). [clausify(5)].
% 0.42/1.05 105 v1_xboole_0(A) | -m1_pboole(B,A) | -v2_relat_1(B) | -v3_relat_1(B) # label(cc1_pboole) # label(axiom). [clausify(6)].
% 0.42/1.05 106 v1_xboole_0(A) | -m1_pboole(B,A) | -v3_relat_1(B) | -v2_relat_1(B) # label(cc2_pboole) # label(axiom). [clausify(11)].
% 0.42/1.05 Derived: -m1_pboole(A,B) | -v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -m1_pboole(k2_closure3(B,A,C),D) | v1_pre_circ(k2_closure3(B,A,C),D). [resolve(103,d,104,b)].
% 0.42/1.05 Derived: -m1_pboole(A,B) | -v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | v1_xboole_0(D) | -m1_pboole(k2_closure3(B,A,C),D) | -v2_relat_1(k2_closure3(B,A,C)). [resolve(103,d,105,d)].
% 0.42/1.05 107 -m1_pboole(A,B) | v3_relat_1(f17(B,A)) # label(rc1_mssubfam) # label(axiom). [clausify(51)].
% 0.42/1.05 Derived: -m1_pboole(A,B) | -m1_pboole(f17(B,A),C) | v1_pre_circ(f17(B,A),C). [resolve(107,b,104,b)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | v1_xboole_0(C) | -m1_pboole(f17(B,A),C) | -v2_relat_1(f17(B,A)). [resolve(107,b,105,d)].
% 0.42/1.06 108 v3_relat_1(c4) # label(rc1_pboole) # label(axiom). [clausify(52)].
% 0.42/1.06 Derived: -m1_pboole(c4,A) | v1_pre_circ(c4,A). [resolve(108,a,104,b)].
% 0.42/1.06 Derived: v1_xboole_0(A) | -m1_pboole(c4,A) | -v2_relat_1(c4). [resolve(108,a,105,d)].
% 0.42/1.06 109 v3_relat_1(f20(A)) # label(rc2_pboole) # label(axiom). [clausify(57)].
% 0.42/1.06 Derived: -m1_pboole(f20(A),B) | v1_pre_circ(f20(A),B). [resolve(109,a,104,b)].
% 0.42/1.06 Derived: v1_xboole_0(A) | -m1_pboole(f20(B),A) | -v2_relat_1(f20(B)). [resolve(109,a,105,d)].
% 0.42/1.06 110 v3_relat_1(c9) # label(rc4_funct_1) # label(axiom). [clausify(66)].
% 0.42/1.06 Derived: -m1_pboole(c9,A) | v1_pre_circ(c9,A). [resolve(110,a,104,b)].
% 0.42/1.06 Derived: v1_xboole_0(A) | -m1_pboole(c9,A) | -v2_relat_1(c9). [resolve(110,a,105,d)].
% 0.42/1.06 111 -m1_pboole(A,B) | v2_closure2(k6_closure2(B,A),B,A) # label(dt_k6_closure2) # label(axiom). [clausify(28)].
% 0.42/1.06 112 -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -v2_closure2(C,B,A) | v1_closure2(C,B,A) # label(cc2_closure2) # label(axiom). [clausify(7)].
% 0.42/1.06 113 -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -v2_closure2(C,B,A) | v6_closure2(C,B,A) # label(cc6_closure2) # label(axiom). [clausify(15)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(k6_closure2(B,A),k1_zfmisc_1(k1_closure2(B,A))) | v1_closure2(k6_closure2(B,A),B,A). [resolve(111,b,112,c)].
% 0.42/1.06 114 -m1_pboole(A,B) | v2_closure2(f25(B,A),B,A) # label(rc4_closure2) # label(axiom). [clausify(64)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(f25(B,A),k1_zfmisc_1(k1_closure2(B,A))) | v1_closure2(f25(B,A),B,A). [resolve(114,b,112,c)].
% 0.42/1.06 115 -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | m4_pboole(k2_closure3(B,A,C),B,A) # label(dt_k2_closure3) # label(axiom). [clausify(26)].
% 0.42/1.06 116 -v1_pre_circ(A,B) | -m1_pboole(A,B) | -m4_pboole(C,B,A) | v1_pre_circ(C,B) # label(cc2_mssubfam) # label(axiom). [clausify(10)].
% 0.42/1.06 117 -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -m4_pboole(D,B,A) | k2_closure3(B,A,C) != D | -r2_hidden(E,B) | k3_tarski(a_4_0_closure3(B,A,C,E)) = k1_funct_1(D,E) # label(d4_closure3) # label(axiom). [clausify(19)].
% 0.42/1.06 118 -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -m4_pboole(D,B,A) | k2_closure3(B,A,C) = D | r2_hidden(f2(B,A,C,D),B) # label(d4_closure3) # label(axiom). [clausify(19)].
% 0.42/1.06 119 -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -m4_pboole(D,B,A) | k2_closure3(B,A,C) = D | k3_tarski(a_4_0_closure3(B,A,C,f2(B,A,C,D))) != k1_funct_1(D,f2(B,A,C,D)) # label(d4_closure3) # label(axiom). [clausify(19)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -v1_pre_circ(A,B) | -m1_pboole(A,B) | v1_pre_circ(k2_closure3(B,A,C),B). [resolve(115,c,116,c)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -m1_pboole(A,B) | -m1_subset_1(D,k1_zfmisc_1(k1_closure2(B,A))) | k2_closure3(B,A,D) != k2_closure3(B,A,C) | -r2_hidden(E,B) | k3_tarski(a_4_0_closure3(B,A,D,E)) = k1_funct_1(k2_closure3(B,A,C),E). [resolve(115,c,117,c)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -m1_pboole(A,B) | -m1_subset_1(D,k1_zfmisc_1(k1_closure2(B,A))) | k2_closure3(B,A,D) = k2_closure3(B,A,C) | r2_hidden(f2(B,A,D,k2_closure3(B,A,C)),B). [resolve(115,c,118,c)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -m1_pboole(A,B) | -m1_subset_1(D,k1_zfmisc_1(k1_closure2(B,A))) | k2_closure3(B,A,D) = k2_closure3(B,A,C) | k3_tarski(a_4_0_closure3(B,A,D,f2(B,A,D,k2_closure3(B,A,C)))) != k1_funct_1(k2_closure3(B,A,C),f2(B,A,D,k2_closure3(B,A,C))). [resolve(115,c,119,c)].
% 0.42/1.06 120 -m1_pboole(A,B) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -m1_closure2(D,B,A,C) | m4_pboole(D,B,A) # label(dt_m1_closure2) # label(axiom). [clausify(29)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -m1_closure2(D,B,A,C) | -v1_pre_circ(A,B) | -m1_pboole(A,B) | v1_pre_circ(D,B). [resolve(120,e,116,c)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -m1_closure2(D,B,A,C) | -m1_pboole(A,B) | -m1_subset_1(E,k1_zfmisc_1(k1_closure2(B,A))) | k2_closure3(B,A,E) != D | -r2_hidden(F,B) | k3_tarski(a_4_0_closure3(B,A,E,F)) = k1_funct_1(D,F). [resolve(120,e,117,c)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -m1_closure2(D,B,A,C) | -m1_pboole(A,B) | -m1_subset_1(E,k1_zfmisc_1(k1_closure2(B,A))) | k2_closure3(B,A,E) = D | r2_hidden(f2(B,A,E,D),B). [resolve(120,e,118,c)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -m1_closure2(D,B,A,C) | -m1_pboole(A,B) | -m1_subset_1(E,k1_zfmisc_1(k1_closure2(B,A))) | k2_closure3(B,A,E) = D | k3_tarski(a_4_0_closure3(B,A,E,f2(B,A,E,D))) != k1_funct_1(D,f2(B,A,E,D)). [resolve(120,e,119,c)].
% 0.42/1.06 121 -m1_pboole(A,B) | -m4_pboole(C,B,A) | m1_pboole(C,B) # label(dt_m4_pboole) # label(axiom). [clausify(33)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | m1_pboole(k2_closure3(B,A,C),B) | -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))). [resolve(121,b,115,c)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | m1_pboole(C,B) | -m1_pboole(A,B) | v1_xboole_0(D) | -m1_subset_1(D,k1_zfmisc_1(k1_closure2(B,A))) | -m1_closure2(C,B,A,D). [resolve(121,b,120,e)].
% 0.42/1.06 122 -m1_pboole(A,B) | m4_pboole(f11(B,A),B,A) # label(existence_m4_pboole) # label(axiom). [clausify(38)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -v1_pre_circ(A,B) | -m1_pboole(A,B) | v1_pre_circ(f11(B,A),B). [resolve(122,b,116,c)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | k2_closure3(B,A,C) != f11(B,A) | -r2_hidden(D,B) | k3_tarski(a_4_0_closure3(B,A,C,D)) = k1_funct_1(f11(B,A),D). [resolve(122,b,117,c)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | k2_closure3(B,A,C) = f11(B,A) | r2_hidden(f2(B,A,C,f11(B,A)),B). [resolve(122,b,118,c)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | k2_closure3(B,A,C) = f11(B,A) | k3_tarski(a_4_0_closure3(B,A,C,f2(B,A,C,f11(B,A)))) != k1_funct_1(f11(B,A),f2(B,A,C,f11(B,A))). [resolve(122,b,119,c)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | m1_pboole(f11(B,A),B). [resolve(122,b,121,b)].
% 0.42/1.06 123 -m1_pboole(A,B) | m4_pboole(f17(B,A),B,A) # label(rc1_mssubfam) # label(axiom). [clausify(51)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | k2_closure3(B,A,C) != f17(B,A) | -r2_hidden(D,B) | k3_tarski(a_4_0_closure3(B,A,C,D)) = k1_funct_1(f17(B,A),D). [resolve(123,b,117,c)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | k2_closure3(B,A,C) = f17(B,A) | r2_hidden(f2(B,A,C,f17(B,A)),B). [resolve(123,b,118,c)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | k2_closure3(B,A,C) = f17(B,A) | k3_tarski(a_4_0_closure3(B,A,C,f2(B,A,C,f17(B,A)))) != k1_funct_1(f17(B,A),f2(B,A,C,f17(B,A))). [resolve(123,b,119,c)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | m1_pboole(f17(B,A),B). [resolve(123,b,121,b)].
% 0.42/1.06 124 -v2_relat_1(A) | -m1_pboole(A,B) | m4_pboole(f27(B,A),B,A) # label(rc5_pboole) # label(axiom). [clausify(68)].
% 0.42/1.06 Derived: -v2_relat_1(A) | -m1_pboole(A,B) | -v1_pre_circ(A,B) | -m1_pboole(A,B) | v1_pre_circ(f27(B,A),B). [resolve(124,c,116,c)].
% 0.42/1.06 Derived: -v2_relat_1(A) | -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | k2_closure3(B,A,C) != f27(B,A) | -r2_hidden(D,B) | k3_tarski(a_4_0_closure3(B,A,C,D)) = k1_funct_1(f27(B,A),D). [resolve(124,c,117,c)].
% 0.42/1.06 Derived: -v2_relat_1(A) | -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | k2_closure3(B,A,C) = f27(B,A) | r2_hidden(f2(B,A,C,f27(B,A)),B). [resolve(124,c,118,c)].
% 0.42/1.06 Derived: -v2_relat_1(A) | -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | k2_closure3(B,A,C) = f27(B,A) | k3_tarski(a_4_0_closure3(B,A,C,f2(B,A,C,f27(B,A)))) != k1_funct_1(f27(B,A),f2(B,A,C,f27(B,A))). [resolve(124,c,119,c)].
% 0.82/1.08 Derived: -v2_relat_1(A) | -m1_pboole(A,B) | -m1_pboole(A,B) | m1_pboole(f27(B,A),B). [resolve(124,c,121,b)].
% 0.82/1.08 125 -m1_pboole(A,B) | v4_closure2(k6_closure2(B,A),B,A) # label(dt_k6_closure2) # label(axiom). [clausify(28)].
% 0.82/1.08 126 -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -v4_closure2(C,B,A) | v3_closure2(C,B,A) # label(cc3_closure2) # label(axiom). [clausify(12)].
% 0.82/1.08 127 -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -v4_closure2(C,B,A) | v5_closure2(C,B,A) # label(cc4_closure2) # label(axiom). [clausify(13)].
% 0.82/1.08 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(k6_closure2(B,A),k1_zfmisc_1(k1_closure2(B,A))) | v3_closure2(k6_closure2(B,A),B,A). [resolve(125,b,126,c)].
% 0.82/1.08 128 -m1_pboole(A,B) | v4_closure2(f25(B,A),B,A) # label(rc4_closure2) # label(axiom). [clausify(64)].
% 0.82/1.08 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(f25(B,A),k1_zfmisc_1(k1_closure2(B,A))) | v3_closure2(f25(B,A),B,A). [resolve(128,b,126,c)].
% 0.82/1.08 129 -m1_pboole(A,B) | v5_closure2(k6_closure2(B,A),B,A) # label(dt_k6_closure2) # label(axiom). [clausify(28)].
% 0.82/1.08 130 -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -v5_closure2(C,B,A) | -v1_xboole_0(C) # label(cc5_closure2) # label(axiom). [clausify(14)].
% 0.82/1.08 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(k6_closure2(B,A),k1_zfmisc_1(k1_closure2(B,A))) | -v1_xboole_0(k6_closure2(B,A)). [resolve(129,b,130,c)].
% 0.82/1.08 131 -m1_pboole(A,B) | v5_closure2(f25(B,A),B,A) # label(rc4_closure2) # label(axiom). [clausify(64)].
% 0.82/1.08 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(f25(B,A),k1_zfmisc_1(k1_closure2(B,A))) | -v1_xboole_0(f25(B,A)). [resolve(131,b,130,c)].
% 0.82/1.08 132 -m1_pboole(A,B) | v6_closure2(k6_closure2(B,A),B,A) # label(dt_k6_closure2) # label(axiom). [clausify(28)].
% 0.82/1.08 133 -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -v6_closure2(C,B,A) | -v1_xboole_0(C) # label(cc7_closure2) # label(axiom). [clausify(16)].
% 0.82/1.08 134 -m1_pboole(A,B) | v6_closure2(f25(B,A),B,A) # label(rc4_closure2) # label(axiom). [clausify(64)].
% 0.82/1.08 135 -v1_relat_1(A) | -v1_xboole_0(A) | v2_funct_1(A) | -v1_xboole_0(A). [resolve(87,c,88,b)].
% 0.82/1.08 136 -m1_pboole(A,B) | v1_relat_1(A) # label(dt_m1_pboole) # label(axiom). [clausify(31)].
% 0.82/1.08 137 -m1_pboole(A,B) | -v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | v1_relat_1(k2_closure3(B,A,C)) # label(fc2_closure3) # label(axiom). [clausify(41)].
% 0.82/1.08 138 v1_relat_1(c1) # label(rc1_closure2) # label(axiom). [clausify(48)].
% 0.82/1.08 139 v1_relat_1(c3) # label(rc1_funct_1) # label(axiom). [clausify(50)].
% 0.82/1.08 140 -m1_pboole(A,B) | v1_relat_1(f17(B,A)) # label(rc1_mssubfam) # label(axiom). [clausify(51)].
% 0.82/1.08 141 v1_relat_1(c4) # label(rc1_pboole) # label(axiom). [clausify(52)].
% 0.82/1.08 142 v1_relat_1(c6) # label(rc2_funct_1) # label(axiom). [clausify(56)].
% 0.82/1.08 143 v1_relat_1(f20(A)) # label(rc2_pboole) # label(axiom). [clausify(57)].
% 0.82/1.08 144 -m1_pboole(A,B) | v1_relat_1(f22(B,A)) # label(rc3_closure2) # label(axiom). [clausify(60)].
% 0.82/1.08 145 v1_relat_1(c8) # label(rc3_funct_1) # label(axiom). [clausify(62)].
% 0.82/1.08 146 v1_relat_1(f24(A)) # label(rc3_pboole) # label(axiom). [clausify(63)].
% 0.82/1.08 147 v1_relat_1(c9) # label(rc4_funct_1) # label(axiom). [clausify(66)].
% 0.82/1.08 148 v1_relat_1(c10) # label(rc5_funct_1) # label(axiom). [clausify(67)].
% 0.82/1.08 149 -v2_relat_1(A) | -m1_pboole(A,B) | v1_relat_1(f27(B,A)) # label(rc5_pboole) # label(axiom). [clausify(68)].
% 0.82/1.08 Derived: -v1_xboole_0(A) | v2_funct_1(A) | -v1_xboole_0(A) | -m1_pboole(A,B). [resolve(135,a,136,b)].
% 0.82/1.08 Derived: -v1_xboole_0(k2_closure3(A,B,C)) | v2_funct_1(k2_closure3(A,B,C)) | -v1_xboole_0(k2_closure3(A,B,C)) | -m1_pboole(B,A) | -v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))). [resolve(135,a,137,d)].
% 0.82/1.08 Derived: -v1_xboole_0(c1) | v2_funct_1(c1) | -v1_xboole_0(c1). [resolve(135,a,138,a)].
% 0.82/1.08 Derived: -v1_xboole_0(c3) | v2_funct_1(c3) | -v1_xboole_0(c3). [resolve(135,a,139,a)].
% 0.82/1.08 Derived: -v1_xboole_0(f17(A,B)) | v2_funct_1(f17(A,B)) | -v1_xboole_0(f17(A,B)) | -m1_pboole(B,A). [resolve(135,a,140,b)].
% 0.82/1.08 Derived: -v1_xboole_0(c4) | v2_funct_1Cputime limit exceeded (core dumped)
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