TSTP Solution File: ALG229+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : ALG229+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n022.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 17:54:10 EDT 2022
% Result : Timeout 300.05s 300.34s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : ALG229+1 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n022.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 05:01:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.05 ============================== Prover9 ===============================
% 0.42/1.05 Prover9 (32) version 2009-11A, November 2009.
% 0.42/1.05 Process 10397 was started by sandbox on n022.cluster.edu,
% 0.42/1.05 Thu Jun 9 05:01:20 2022
% 0.42/1.05 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_10227_n022.cluster.edu".
% 0.42/1.05 ============================== end of head ===========================
% 0.42/1.05
% 0.42/1.05 ============================== INPUT =================================
% 0.42/1.05
% 0.42/1.05 % Reading from file /tmp/Prover9_10227_n022.cluster.edu
% 0.42/1.05
% 0.42/1.05 set(prolog_style_variables).
% 0.42/1.05 set(auto2).
% 0.42/1.05 % set(auto2) -> set(auto).
% 0.42/1.05 % set(auto) -> set(auto_inference).
% 0.42/1.05 % set(auto) -> set(auto_setup).
% 0.42/1.05 % set(auto_setup) -> set(predicate_elim).
% 0.42/1.05 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/1.05 % set(auto) -> set(auto_limits).
% 0.42/1.05 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/1.05 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/1.05 % set(auto) -> set(auto_denials).
% 0.42/1.05 % set(auto) -> set(auto_process).
% 0.42/1.05 % set(auto2) -> assign(new_constants, 1).
% 0.42/1.05 % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/1.05 % set(auto2) -> assign(max_weight, "200.000").
% 0.42/1.05 % set(auto2) -> assign(max_hours, 1).
% 0.42/1.05 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/1.05 % set(auto2) -> assign(max_seconds, 0).
% 0.42/1.05 % set(auto2) -> assign(max_minutes, 5).
% 0.42/1.05 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/1.05 % set(auto2) -> set(sort_initial_sos).
% 0.42/1.05 % set(auto2) -> assign(sos_limit, -1).
% 0.42/1.05 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/1.05 % set(auto2) -> assign(max_megs, 400).
% 0.42/1.05 % set(auto2) -> assign(stats, some).
% 0.42/1.05 % set(auto2) -> clear(echo_input).
% 0.42/1.05 % set(auto2) -> set(quiet).
% 0.42/1.05 % set(auto2) -> clear(print_initial_clauses).
% 0.42/1.05 % set(auto2) -> clear(print_given).
% 0.42/1.05 assign(lrs_ticks,-1).
% 0.42/1.05 assign(sos_limit,10000).
% 0.42/1.05 assign(order,kbo).
% 0.42/1.05 set(lex_order_vars).
% 0.42/1.05 clear(print_given).
% 0.42/1.05
% 0.42/1.05 % formulas(sos). % not echoed (106 formulas)
% 0.42/1.05
% 0.42/1.05 ============================== end of input ==========================
% 0.42/1.05
% 0.42/1.05 % From the command line: assign(max_seconds, 300).
% 0.42/1.05
% 0.42/1.05 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/1.05
% 0.42/1.05 % Formulas that are not ordinary clauses:
% 0.42/1.05 1 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 2 (all A (v1_xboole_0(A) -> v1_fraenkel(A))) # label(cc1_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 3 (all A (v1_xboole_0(A) -> v1_finset_1(A))) # label(cc1_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 4 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 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].
% 0.42/1.05 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].
% 0.42/1.05 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].
% 0.42/1.05 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].
% 0.42/1.05 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].
% 0.42/1.05 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].
% 0.42/1.05 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].
% 0.42/1.05 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].
% 0.42/1.05 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].
% 0.42/1.05 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].
% 0.42/1.05 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].
% 0.42/1.05 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].
% 0.42/1.05 17 (all A all B (m1_pboole(B,A) -> (v3_relat_1(B) <-> (all C (r2_hidden(C,A) -> v1_xboole_0(k1_funct_1(B,C))))))) # label(d15_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 18 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (C = k2_mboolean(A,B) <-> (all D (r2_hidden(D,A) -> k1_funct_1(C,D) = k3_tarski(k1_funct_1(B,D))))))))) # label(d2_mboolean) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 19 (all A all B (m1_pboole(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> (C != k1_xboole_0 -> k4_closure2(A,B,C) = k3_closure2(C)) & (C = k1_xboole_0 -> k4_closure2(A,B,C) = k1_pboole(A)))))) # label(d4_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 20 (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].
% 0.42/1.05 21 (all A k1_pboole(A) = k2_funcop_1(A,k1_xboole_0)) # label(d6_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 22 $T # label(dt_k1_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 23 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 24 (all A all B (m1_pboole(B,A) -> m1_pboole(k1_mboolean(A,B),A))) # label(dt_k1_mboolean) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 25 (all A m1_pboole(k1_pboole(A),A)) # label(dt_k1_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 26 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 27 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 28 (all A all B (m1_pboole(B,A) -> m1_subset_1(k2_closure2(A,B),k1_zfmisc_1(k1_closure2(A,B))))) # label(dt_k2_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 29 (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].
% 0.42/1.05 30 $T # label(dt_k2_funcop_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 31 (all A all B (m1_pboole(B,A) -> m1_pboole(k2_mboolean(A,B),A))) # label(dt_k2_mboolean) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 32 (all A (v1_fraenkel(A) -> v1_relat_1(k3_closure2(A)) & v1_funct_1(k3_closure2(A)))) # label(dt_k3_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 33 $T # label(dt_k3_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 34 (all A all B all C (m1_pboole(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> m1_pboole(k4_closure2(A,B,C),A))) # label(dt_k4_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 35 (all A all B all C (m1_pboole(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> m4_pboole(k5_closure2(A,B,C),A,k1_mboolean(A,B)))) # label(dt_k5_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 36 (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].
% 0.42/1.05 37 (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].
% 0.42/1.05 38 (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].
% 0.42/1.05 39 (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].
% 0.42/1.05 40 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 41 (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].
% 0.42/1.05 42 (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].
% 0.42/1.05 43 (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].
% 0.42/1.05 44 (all A exists B m1_pboole(B,A)) # label(existence_m1_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 45 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 46 (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].
% 0.42/1.05 47 (all A (v1_relat_1(k1_pboole(A)) & v3_relat_1(k1_pboole(A)) & v1_funct_1(k1_pboole(A)) & v1_pre_circ(k1_pboole(A),A))) # label(fc1_mssubfam) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 48 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 49 (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].
% 0.42/1.05 50 (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].
% 0.42/1.05 51 (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].
% 0.42/1.05 52 (all A (v1_xboole_0(A) & v1_fraenkel(A) -> v1_xboole_0(k3_closure2(A)) & v1_relat_1(k3_closure2(A)) & v1_funct_1(k3_closure2(A)) & v2_funct_1(k3_closure2(A)) & v1_finset_1(k3_closure2(A)) & v1_fraenkel(k3_closure2(A)))) # label(fc3_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 53 (all A (v1_relat_1(k1_pboole(A)) & v3_relat_1(k1_pboole(A)) & v1_funct_1(k1_pboole(A)))) # label(fc3_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 54 (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(k4_closure2(A,B,C)) & v3_relat_1(k4_closure2(A,B,C)) & v1_funct_1(k4_closure2(A,B,C)) & v1_pre_circ(k4_closure2(A,B,C),A))) # label(fc4_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 55 (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(k4_closure2(A,B,C)) & v2_relat_1(k4_closure2(A,B,C)) & v1_funct_1(k4_closure2(A,B,C)))) # label(fc5_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 56 (all A all B (v1_pre_circ(B,A) & m1_pboole(B,A) -> v1_relat_1(k1_mboolean(A,B)) & v2_relat_1(k1_mboolean(A,B)) & v1_funct_1(k1_mboolean(A,B)) & v1_pre_circ(k1_mboolean(A,B),A))) # label(fc8_mssubfam) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 57 (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_closure2(B,C,D,E)) <-> (exists F (m1_closure2(F,B,C,k2_closure2(B,C)) & A = k1_funct_1(F,E) & r2_hidden(F,D)))))) # label(fraenkel_a_4_0_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 58 (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].
% 0.42/1.05 59 (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].
% 0.42/1.05 60 (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].
% 0.42/1.05 61 (exists A (-v1_xboole_0(A) & v1_finset_1(A))) # label(rc1_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 62 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 63 (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].
% 0.42/1.05 64 (exists A (v1_relat_1(A) & v3_relat_1(A) & v1_funct_1(A))) # label(rc1_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 65 (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].
% 0.42/1.05 66 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 67 (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].
% 0.42/1.05 68 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 69 (all A all B (m1_pboole(B,A) -> (exists C (m4_pboole(C,A,k1_mboolean(A,B)) & v1_relat_1(C) & v2_relat_1(C) & v1_funct_1(C))))) # label(rc2_mssubfam) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 70 (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].
% 0.42/1.05 71 (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].
% 0.42/1.05 72 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 73 (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].
% 0.42/1.05 74 (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].
% 0.42/1.05 75 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 76 (all A all B (m1_pboole(B,A) -> (exists C (m4_pboole(C,A,k1_mboolean(A,B)) & v1_relat_1(C) & v3_relat_1(C) & v1_funct_1(C) & v1_pre_circ(C,A))))) # label(rc3_mssubfam) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 77 (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].
% 0.42/1.05 78 (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].
% 0.42/1.05 79 (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].
% 0.42/1.05 80 (exists A (v1_relat_1(A) & v3_relat_1(A) & v1_funct_1(A))) # label(rc4_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 81 (all A all B (v1_pre_circ(B,A) & m1_pboole(B,A) -> (exists C (m4_pboole(C,A,k1_mboolean(A,B)) & v1_relat_1(C) & v2_relat_1(C) & v1_funct_1(C) & v1_pre_circ(C,A))))) # label(rc4_mssubfam) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 82 (exists A (v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A))) # label(rc5_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 83 (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].
% 0.42/1.05 84 (all A all B (m1_pboole(B,A) -> k2_closure2(A,B) = k1_closure2(A,B))) # label(redefinition_k2_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 85 (all A all B all C (m1_pboole(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> k5_closure2(A,B,C) = k4_closure2(A,B,C))) # label(redefinition_k5_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 86 (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].
% 0.42/1.05 87 (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].
% 0.42/1.05 88 (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].
% 0.42/1.05 89 (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].
% 0.42/1.05 90 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 91 (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].
% 0.42/1.05 92 (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].
% 0.42/1.05 93 (all A all B (m1_pboole(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> (-v1_xboole_0(C) -> (all D (r2_hidden(D,A) -> k1_funct_1(k4_closure2(A,B,C),D) = a_4_0_closure2(A,B,C,D)))))))) # label(t15_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 94 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 95 (all A r6_pboole(A,k2_mboolean(A,k1_pboole(A)),k1_pboole(A))) # label(t22_mboolean) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 96 (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].
% 0.42/1.05 97 (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 98 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> ((all D (r2_hidden(D,A) -> k1_funct_1(B,D) = k1_funct_1(C,D))) -> B = C))))) # label(t3_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.05 99 (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].
% 0.42/1.05 100 (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].
% 0.42/1.05 101 (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].
% 0.42/1.06 102 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 103 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 104 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 105 -(all A all B (m1_pboole(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> r6_pboole(A,k2_closure3(A,B,C),k2_mboolean(A,k5_closure2(A,B,C))))))) # label(t10_closure3) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.42/1.06
% 0.42/1.06 ============================== end of process non-clausal formulas ===
% 0.42/1.06
% 0.42/1.06 ============================== PROCESS INITIAL CLAUSES ===============
% 0.42/1.06
% 0.42/1.06 ============================== PREDICATE ELIMINATION =================
% 0.42/1.06 106 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(9)].
% 0.42/1.06 107 -v1_xboole_0(A) | v1_funct_1(A) # label(cc1_funct_1) # label(axiom). [clausify(4)].
% 0.42/1.06 Derived: -v1_relat_1(A) | -v1_xboole_0(A) | v2_funct_1(A) | -v1_xboole_0(A). [resolve(106,c,107,b)].
% 0.42/1.06 108 -v1_fraenkel(A) | v1_funct_1(k3_closure2(A)) # label(dt_k3_closure2) # label(axiom). [clausify(32)].
% 0.42/1.06 109 -m1_pboole(A,B) | v1_funct_1(A) # label(dt_m1_pboole) # label(axiom). [clausify(39)].
% 0.42/1.06 110 v1_funct_1(k1_pboole(A)) # label(fc1_mssubfam) # label(axiom). [clausify(47)].
% 0.42/1.06 111 -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(50)].
% 0.42/1.06 112 -v1_xboole_0(A) | -v1_fraenkel(A) | v1_funct_1(k3_closure2(A)) # label(fc3_closure2) # label(axiom). [clausify(52)].
% 0.42/1.06 113 v1_funct_1(k1_pboole(A)) # label(fc3_pboole) # label(axiom). [clausify(53)].
% 0.42/1.06 114 -m1_pboole(A,B) | -v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | v1_funct_1(k4_closure2(B,A,C)) # label(fc4_closure2) # label(axiom). [clausify(54)].
% 0.42/1.06 115 -m1_pboole(A,B) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | v1_funct_1(k4_closure2(B,A,C)) # label(fc5_closure2) # label(axiom). [clausify(55)].
% 0.42/1.06 116 -v1_pre_circ(A,B) | -m1_pboole(A,B) | v1_funct_1(k1_mboolean(B,A)) # label(fc8_mssubfam) # label(axiom). [clausify(56)].
% 0.42/1.06 117 v1_funct_1(c1) # label(rc1_closure2) # label(axiom). [clausify(60)].
% 0.42/1.06 118 v1_funct_1(c3) # label(rc1_funct_1) # label(axiom). [clausify(62)].
% 0.42/1.06 119 -m1_pboole(A,B) | v1_funct_1(f12(B,A)) # label(rc1_mssubfam) # label(axiom). [clausify(63)].
% 0.42/1.06 120 v1_funct_1(c4) # label(rc1_pboole) # label(axiom). [clausify(64)].
% 0.42/1.06 121 v1_funct_1(c6) # label(rc2_funct_1) # label(axiom). [clausify(68)].
% 0.42/1.06 122 -m1_pboole(A,B) | v1_funct_1(f15(B,A)) # label(rc2_mssubfam) # label(axiom). [clausify(69)].
% 0.42/1.06 123 v1_funct_1(f16(A)) # label(rc2_pboole) # label(axiom). [clausify(70)].
% 0.42/1.06 124 -m1_pboole(A,B) | v1_funct_1(f18(B,A)) # label(rc3_closure2) # label(axiom). [clausify(73)].
% 0.42/1.06 125 v1_funct_1(c8) # label(rc3_funct_1) # label(axiom). [clausify(75)].
% 0.42/1.06 126 -m1_pboole(A,B) | v1_funct_1(f20(B,A)) # label(rc3_mssubfam) # label(axiom). [clausify(76)].
% 0.42/1.06 127 v1_funct_1(f21(A)) # label(rc3_pboole) # label(axiom). [clausify(77)].
% 0.42/1.06 128 v1_funct_1(c9) # label(rc4_funct_1) # label(axiom). [clausify(80)].
% 0.42/1.06 129 -v1_pre_circ(A,B) | -m1_pboole(A,B) | v1_funct_1(f24(B,A)) # label(rc4_mssubfam) # label(axiom). [clausify(81)].
% 0.42/1.06 130 v1_funct_1(c10) # label(rc5_funct_1) # label(axiom). [clausify(82)].
% 0.42/1.06 131 -v2_relat_1(A) | -m1_pboole(A,B) | v1_funct_1(f25(B,A)) # label(rc5_pboole) # label(axiom). [clausify(83)].
% 0.42/1.06 132 -m1_pboole(A,B) | v3_relat_1(A) | r2_hidden(f1(B,A),B) # label(d15_pboole) # label(axiom). [clausify(17)].
% 0.42/1.06 133 -m1_pboole(A,B) | -v3_relat_1(A) | v1_pre_circ(A,B) # label(cc1_mssubfam) # label(axiom). [clausify(5)].
% 0.42/1.06 134 v1_xboole_0(A) | -m1_pboole(B,A) | -v2_relat_1(B) | -v3_relat_1(B) # label(cc1_pboole) # label(axiom). [clausify(6)].
% 0.42/1.06 135 v1_xboole_0(A) | -m1_pboole(B,A) | -v3_relat_1(B) | -v2_relat_1(B) # label(cc2_pboole) # label(axiom). [clausify(11)].
% 0.42/1.06 136 -m1_pboole(A,B) | -v3_relat_1(A) | -r2_hidden(C,B) | v1_xboole_0(k1_funct_1(A,C)) # label(d15_pboole) # label(axiom). [clausify(17)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | r2_hidden(f1(B,A),B) | -m1_pboole(A,C) | v1_pre_circ(A,C). [resolve(132,b,133,b)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | r2_hidden(f1(B,A),B) | v1_xboole_0(C) | -m1_pboole(A,C) | -v2_relat_1(A). [resolve(132,b,134,d)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | r2_hidden(f1(B,A),B) | -m1_pboole(A,C) | -r2_hidden(D,C) | v1_xboole_0(k1_funct_1(A,D)). [resolve(132,b,136,b)].
% 0.42/1.06 137 -m1_pboole(A,B) | v3_relat_1(A) | -v1_xboole_0(k1_funct_1(A,f1(B,A))) # label(d15_pboole) # label(axiom). [clausify(17)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -v1_xboole_0(k1_funct_1(A,f1(B,A))) | -m1_pboole(A,C) | v1_pre_circ(A,C). [resolve(137,b,133,b)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -v1_xboole_0(k1_funct_1(A,f1(B,A))) | v1_xboole_0(C) | -m1_pboole(A,C) | -v2_relat_1(A). [resolve(137,b,134,d)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -v1_xboole_0(k1_funct_1(A,f1(B,A))) | -m1_pboole(A,C) | -r2_hidden(D,C) | v1_xboole_0(k1_funct_1(A,D)). [resolve(137,b,136,b)].
% 0.42/1.06 138 v3_relat_1(k1_pboole(A)) # label(fc1_mssubfam) # label(axiom). [clausify(47)].
% 0.42/1.06 Derived: -m1_pboole(k1_pboole(A),B) | v1_pre_circ(k1_pboole(A),B). [resolve(138,a,133,b)].
% 0.42/1.06 Derived: v1_xboole_0(A) | -m1_pboole(k1_pboole(B),A) | -v2_relat_1(k1_pboole(B)). [resolve(138,a,134,d)].
% 0.42/1.06 Derived: -m1_pboole(k1_pboole(A),B) | -r2_hidden(C,B) | v1_xboole_0(k1_funct_1(k1_pboole(A),C)). [resolve(138,a,136,b)].
% 0.42/1.06 139 -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(50)].
% 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_pboole(k2_closure3(B,A,C),D) | v1_pre_circ(k2_closure3(B,A,C),D). [resolve(139,d,133,b)].
% 0.42/1.06 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(139,d,134,d)].
% 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_pboole(k2_closure3(B,A,C),D) | -r2_hidden(E,D) | v1_xboole_0(k1_funct_1(k2_closure3(B,A,C),E)). [resolve(139,d,136,b)].
% 0.42/1.06 140 v3_relat_1(k1_pboole(A)) # label(fc3_pboole) # label(axiom). [clausify(53)].
% 0.42/1.06 141 -m1_pboole(A,B) | -v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | v3_relat_1(k4_closure2(B,A,C)) # label(fc4_closure2) # label(axiom). [clausify(54)].
% 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_pboole(k4_closure2(B,A,C),D) | v1_pre_circ(k4_closure2(B,A,C),D). [resolve(141,d,133,b)].
% 0.42/1.06 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(k4_closure2(B,A,C),D) | -v2_relat_1(k4_closure2(B,A,C)). [resolve(141,d,134,d)].
% 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_pboole(k4_closure2(B,A,C),D) | -r2_hidden(E,D) | v1_xboole_0(k1_funct_1(k4_closure2(B,A,C),E)). [resolve(141,d,136,b)].
% 0.42/1.06 142 -m1_pboole(A,B) | v3_relat_1(f12(B,A)) # label(rc1_mssubfam) # label(axiom). [clausify(63)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -m1_pboole(f12(B,A),C) | v1_pre_circ(f12(B,A),C). [resolve(142,b,133,b)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | v1_xboole_0(C) | -m1_pboole(f12(B,A),C) | -v2_relat_1(f12(B,A)). [resolve(142,b,134,d)].
% 0.42/1.06 Derived: -m1_pboole(A,B) | -m1_pboole(f12(B,A),C) | -r2_hidden(D,C) | v1_xboole_0(k1_funct_1(f12(B,A),D)). [resolve(142,b,136,b)].
% 0.42/1.06 143 v3_relat_1(c4) # label(rc1_pboole) # label(axiom). [clausify(64)].
% 0.42/1.06 Derived: -m1_pboole(c4,A) | v1_pre_circ(c4,A). [resolve(143,a,133,b)].
% 0.42/1.06 Derived: v1_xboole_0(A) | -m1_pboole(c4,A) | -v2_relat_1(c4). [resolve(143,a,134,d)].
% 0.42/1.06 Derived: -m1_pboole(c4,A) | -r2_hidden(B,A) | v1_xboole_0(k1_funct_1(c4,B)). [resolve(143,a,136,b)].
% 0.42/1.06 144 v3_relat_1(f16(A)) # label(rc2_pboole) # label(axiom). [clausify(70)].
% 0.42/1.06 Derived: -m1_pboole(f16(A),B) | v1_pre_circ(f16(A),B). [resolve(144,a,133,b)].
% 0.42/1.07 Derived: v1_xboole_0(A) | -m1_pboole(f16(B),A) | -v2_relat_1(f16(B)). [resolve(144,a,134,d)].
% 0.42/1.07 Derived: -m1_pboole(f16(A),B) | -r2_hidden(C,B) | v1_xboole_0(k1_funct_1(f16(A),C)). [resolve(144,a,136,b)].
% 0.42/1.07 145 -m1_pboole(A,B) | v3_relat_1(f20(B,A)) # label(rc3_mssubfam) # label(axiom). [clausify(76)].
% 0.42/1.07 Derived: -m1_pboole(A,B) | -m1_pboole(f20(B,A),C) | v1_pre_circ(f20(B,A),C). [resolve(145,b,133,b)].
% 0.42/1.07 Derived: -m1_pboole(A,B) | v1_xboole_0(C) | -m1_pboole(f20(B,A),C) | -v2_relat_1(f20(B,A)). [resolve(145,b,134,d)].
% 0.42/1.07 Derived: -m1_pboole(A,B) | -m1_pboole(f20(B,A),C) | -r2_hidden(D,C) | v1_xboole_0(k1_funct_1(f20(B,A),D)). [resolve(145,b,136,b)].
% 0.42/1.07 146 v3_relat_1(c9) # label(rc4_funct_1) # label(axiom). [clausify(80)].
% 0.42/1.07 Derived: -m1_pboole(c9,A) | v1_pre_circ(c9,A). [resolve(146,a,133,b)].
% 0.42/1.07 Derived: v1_xboole_0(A) | -m1_pboole(c9,A) | -v2_relat_1(c9). [resolve(146,a,134,d)].
% 0.42/1.07 Derived: -m1_pboole(c9,A) | -r2_hidden(B,A) | v1_xboole_0(k1_funct_1(c9,B)). [resolve(146,a,136,b)].
% 0.42/1.07 147 -m1_pboole(A,B) | v2_closure2(k6_closure2(B,A),B,A) # label(dt_k6_closure2) # label(axiom). [clausify(36)].
% 0.42/1.07 148 -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -v2_closure2(C,B,A) | v1_fraenkel(C) # label(cc2_closure2) # label(axiom). [clausify(7)].
% 0.42/1.07 149 -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)].
% 0.42/1.07 150 -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -v2_closure2(C,B,A) | v1_fraenkel(C) # label(cc6_closure2) # label(axiom). [clausify(15)].
% 0.42/1.07 151 -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)].
% 0.42/1.07 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(k6_closure2(B,A),k1_zfmisc_1(k1_closure2(B,A))) | v1_fraenkel(k6_closure2(B,A)). [resolve(147,b,148,c)].
% 0.42/1.07 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(147,b,149,c)].
% 0.42/1.07 152 -m1_pboole(A,B) | v2_closure2(f22(B,A),B,A) # label(rc4_closure2) # label(axiom). [clausify(78)].
% 0.42/1.07 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(f22(B,A),k1_zfmisc_1(k1_closure2(B,A))) | v1_fraenkel(f22(B,A)). [resolve(152,b,148,c)].
% 0.42/1.07 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(f22(B,A),k1_zfmisc_1(k1_closure2(B,A))) | v1_closure2(f22(B,A),B,A). [resolve(152,b,149,c)].
% 0.42/1.07 153 -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(29)].
% 0.42/1.07 154 -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)].
% 0.42/1.07 155 -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(20)].
% 0.42/1.07 156 -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(f3(B,A,C,D),B) # label(d4_closure3) # label(axiom). [clausify(20)].
% 0.42/1.07 157 -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,f3(B,A,C,D))) != k1_funct_1(D,f3(B,A,C,D)) # label(d4_closure3) # label(axiom). [clausify(20)].
% 0.42/1.07 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(153,c,154,c)].
% 0.42/1.07 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(153,c,155,c)].
% 0.42/1.07 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(f3(B,A,D,k2_closure3(B,A,C)),B). [resolve(153,c,156,c)].
% 0.42/1.07 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,f3(B,A,D,k2_closure3(B,A,C)))) != k1_funct_1(k2_closure3(B,A,C),f3(B,A,D,k2_closure3(B,A,C))). [resolve(153,c,157,c)].
% 0.42/1.07 158 -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | m4_pboole(k5_closure2(B,A,C),B,k1_mboolean(B,A)) # label(dt_k5_closure2) # label(axiom). [clausify(35)].
% 0.42/1.07 Derived: -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -v1_pre_circ(k1_mboolean(B,A),B) | -m1_pboole(k1_mboolean(B,A),B) | v1_pre_circ(k5_closure2(B,A,C),B). [resolve(158,c,154,c)].
% 0.42/1.07 Derived: -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -m1_pboole(k1_mboolean(B,A),B) | -m1_subset_1(D,k1_zfmisc_1(k1_closure2(B,k1_mboolean(B,A)))) | k2_closure3(B,k1_mboolean(B,A),D) != k5_closure2(B,A,C) | -r2_hidden(E,B) | k3_tarski(a_4_0_closure3(B,k1_mboolean(B,A),D,E)) = k1_funct_1(k5_closure2(B,A,C),E). [resolve(158,c,155,c)].
% 0.42/1.07 Derived: -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -m1_pboole(k1_mboolean(B,A),B) | -m1_subset_1(D,k1_zfmisc_1(k1_closure2(B,k1_mboolean(B,A)))) | k2_closure3(B,k1_mboolean(B,A),D) = k5_closure2(B,A,C) | r2_hidden(f3(B,k1_mboolean(B,A),D,k5_closure2(B,A,C)),B). [resolve(158,c,156,c)].
% 0.42/1.07 Derived: -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -m1_pboole(k1_mboolean(B,A),B) | -m1_subset_1(D,k1_zfmisc_1(k1_closure2(B,k1_mboolean(B,A)))) | k2_closure3(B,k1_mboolean(B,A),D) = k5_closure2(B,A,C) | k3_tarski(a_4_0_closure3(B,k1_mboolean(B,A),D,f3(B,k1_mboolean(B,A),D,k5_closure2(B,A,C)))) != k1_funct_1(k5_closure2(B,A,C),f3(B,k1_mboolean(B,A),D,k5_closure2(B,A,C))). [resolve(158,c,157,c)].
% 0.42/1.07 159 -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(37)].
% 0.42/1.07 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(159,e,154,c)].
% 0.42/1.07 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(159,e,155,c)].
% 0.42/1.07 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(f3(B,A,E,D),B). [resolve(159,e,156,c)].
% 0.42/1.07 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,f3(B,A,E,D))) != k1_funct_1(D,f3(B,A,E,D)). [resolve(159,e,157,c)].
% 0.42/1.07 160 -m1_pboole(A,B) | -m4_pboole(C,B,A) | m1_pboole(C,B) # label(dt_m4_pboole) # label(axiom). [clausify(41)].
% 0.42/1.07 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(160,b,153,c)].
% 0.42/1.07 Derived: -m1_pboole(k1_mboolean(A,B),A) | m1_pboole(k5_closure2(A,B,C),A) | -m1_pboole(B,A) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))). [resolve(160,b,158,c)].
% 0.42/1.07 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(160,b,159,e)].
% 0.42/1.07 161 -m1_pboole(A,B) | m4_pboole(f8(B,A),B,A) # label(existence_m4_pboole) # label(axiom). [clausify(46)].
% 0.42/1.07 Derived: -m1_pboole(A,B) | -v1_pre_circ(A,B) | -m1_pboole(A,B) | v1_pre_circ(f8(B,A),B). [resolve(161,b,154,c)].
% 0.42/1.07 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) != f8(B,A) | -r2_hidden(D,B) | k3_tarski(a_4_0_closure3(B,A,C,D)) = k1_funct_1(f8(B,A),D). [resolve(161,b,155,c)].
% 0.42/1.08 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) = f8(B,A) | r2_hidden(f3(B,A,C,f8(B,A)),B). [resolve(161,b,156,c)].
% 0.42/1.08 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) = f8(B,A) | k3_tarski(a_4_0_closure3(B,A,C,f3(B,A,C,f8(B,A)))) != k1_funct_1(f8(B,A),f3(B,A,C,f8(B,A))). [resolve(161,b,157,c)].
% 0.42/1.08 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | m1_pboole(f8(B,A),B). [resolve(161,b,160,b)].
% 0.42/1.08 162 -m1_pboole(A,B) | m4_pboole(f12(B,A),B,A) # label(rc1_mssubfam) # label(axiom). [clausify(63)].
% 0.42/1.08 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) != f12(B,A) | -r2_hidden(D,B) | k3_tarski(a_4_0_closure3(B,A,C,D)) = k1_funct_1(f12(B,A),D). [resolve(162,b,155,c)].
% 0.42/1.08 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) = f12(B,A) | r2_hidden(f3(B,A,C,f12(B,A)),B). [resolve(162,b,156,c)].
% 0.42/1.08 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) = f12(B,A) | k3_tarski(a_4_0_closure3(B,A,C,f3(B,A,C,f12(B,A)))) != k1_funct_1(f12(B,A),f3(B,A,C,f12(B,A))). [resolve(162,b,157,c)].
% 0.42/1.08 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | m1_pboole(f12(B,A),B). [resolve(162,b,160,b)].
% 0.42/1.08 163 -m1_pboole(A,B) | m4_pboole(f15(B,A),B,k1_mboolean(B,A)) # label(rc2_mssubfam) # label(axiom). [clausify(69)].
% 0.42/1.08 Derived: -m1_pboole(A,B) | -v1_pre_circ(k1_mboolean(B,A),B) | -m1_pboole(k1_mboolean(B,A),B) | v1_pre_circ(f15(B,A),B). [resolve(163,b,154,c)].
% 0.42/1.08 Derived: -m1_pboole(A,B) | -m1_pboole(k1_mboolean(B,A),B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,k1_mboolean(B,A)))) | k2_closure3(B,k1_mboolean(B,A),C) != f15(B,A) | -r2_hidden(D,B) | k3_tarski(a_4_0_closure3(B,k1_mboolean(B,A),C,D)) = k1_funct_1(f15(B,A),D). [resolve(163,b,155,c)].
% 0.42/1.08 Derived: -m1_pboole(A,B) | -m1_pboole(k1_mboolean(B,A),B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,k1_mboolean(B,A)))) | k2_closure3(B,k1_mboolean(B,A),C) = f15(B,A) | r2_hidden(f3(B,k1_mboolean(B,A),C,f15(B,A)),B). [resolve(163,b,156,c)].
% 0.42/1.08 Derived: -m1_pboole(A,B) | -m1_pboole(k1_mboolean(B,A),B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,k1_mboolean(B,A)))) | k2_closure3(B,k1_mboolean(B,A),C) = f15(B,A) | k3_tarski(a_4_0_closure3(B,k1_mboolean(B,A),C,f3(B,k1_mboolean(B,A),C,f15(B,A)))) != k1_funct_1(f15(B,A),f3(B,k1_mboolean(B,A),C,f15(B,A))). [resolve(163,b,157,c)].
% 0.42/1.08 Derived: -m1_pboole(A,B) | -m1_pboole(k1_mboolean(B,A),B) | m1_pboole(f15(B,A),B). [resolve(163,b,160,b)].
% 0.42/1.08 164 -m1_pboole(A,B) | m4_pboole(f20(B,A),B,k1_mboolean(B,A)) # label(rc3_mssubfam) # label(axiom). [clausify(76)].
% 0.42/1.08 Derived: -m1_pboole(A,B) | -m1_pboole(k1_mboolean(B,A),B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,k1_mboolean(B,A)))) | k2_closure3(B,k1_mboolean(B,A),C) != f20(B,A) | -r2_hidden(D,B) | k3_tarski(a_4_0_closure3(B,k1_mboolean(B,A),C,D)) = k1_funct_1(f20(B,A),D). [resolve(164,b,155,c)].
% 0.42/1.08 Derived: -m1_pboole(A,B) | -m1_pboole(k1_mboolean(B,A),B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,k1_mboolean(B,A)))) | k2_closure3(B,k1_mboolean(B,A),C) = f20(B,A) | r2_hidden(f3(B,k1_mboolean(B,A),C,f20(B,A)),B). [resolve(164,b,156,c)].
% 0.42/1.08 Derived: -m1_pboole(A,B) | -m1_pboole(k1_mboolean(B,A),B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,k1_mboolean(B,A)))) | k2_closure3(B,k1_mboolean(B,A),C) = f20(B,A) | k3_tarski(a_4_0_closure3(B,k1_mboolean(B,A),C,f3(B,k1_mboolean(B,A),C,f20(B,A)))) != k1_funct_1(f20(B,A),f3(B,k1_mboolean(B,A),C,f20(B,A))). [resolve(164,b,157,c)].
% 0.42/1.08 Derived: -m1_pboole(A,B) | -m1_pboole(k1_mboolean(B,A),B) | m1_pboole(f20(B,A),B). [resolve(164,b,160,b)].
% 0.42/1.08 165 -v1_pre_circ(A,B) | -m1_pboole(A,B) | m4_pboole(f24(B,A),B,k1_mboolean(B,A)) # label(rc4_mssubfam) # label(axiom). [clausify(81)].
% 0.42/1.08 Derived: -v1_pre_circ(A,B) | -m1_pboole(A,B) | -m1_pboole(k1_mboolean(B,A),B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,k1_mboolean(B,A)))) | k2_closure3(B,k1_mboolean(B,A),C) != f24(B,A) | -r2_hidden(D,B) | k3_tarski(a_4_0_closure3(B,k1_mboolean(B,A),C,D)) = k1_funct_1(f24(B,A),D). [resolve(165,c,155,c)].
% 0.83/1.09 Derived: -v1_pre_circ(A,B) | -m1_pboole(A,B) | -m1_pboole(k1_mboolean(B,A),B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,k1_mboolean(B,A)))) | k2_closure3(B,k1_mboolean(B,A),C) = f24(B,A) | r2_hidden(f3(B,k1_mboolean(B,A),C,f24(B,A)),B). [resolve(165,c,156,c)].
% 0.83/1.09 Derived: -v1_pre_circ(A,B) | -m1_pboole(A,B) | -m1_pboole(k1_mboolean(B,A),B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,k1_mboolean(B,A)))) | k2_closure3(B,k1_mboolean(B,A),C) = f24(B,A) | k3_tarski(a_4_0_closure3(B,k1_mboolean(B,A),C,f3(B,k1_mboolean(B,A),C,f24(B,A)))) != k1_funct_1(f24(B,A),f3(B,k1_mboolean(B,A),C,f24(B,A))). [resolve(165,c,157,c)].
% 0.83/1.09 Derived: -v1_pre_circ(A,B) | -m1_pboole(A,B) | -m1_pboole(k1_mboolean(B,A),B) | m1_pboole(f24(B,A),B). [resolve(165,c,160,b)].
% 0.83/1.09 166 -v2_relat_1(A) | -m1_pboole(A,B) | m4_pboole(f25(B,A),B,A) # label(rc5_pboole) # label(axiom). [clausify(83)].
% 0.83/1.09 Derived: -v2_relat_1(A) | -m1_pboole(A,B) | -v1_pre_circ(A,B) | -m1_pboole(A,B) | v1_pre_circ(f25(B,A),B). [resolve(166,c,154,c)].
% 0.83/1.09 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) != f25(B,A) | -r2_hidden(D,B) | k3_tarski(a_4_0_closure3(B,A,C,D)) = k1_funct_1(f25(B,A),D). [resolve(166,c,155,c)].
% 0.83/1.09 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) = f25(B,A) | r2_hidden(f3(B,A,C,f25(B,A)),B). [resolve(166,c,156,c)].
% 0.83/1.09 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) = f25(B,A) | k3_tarski(a_4_0_closure3(B,A,C,f3(B,A,C,f25(B,A)))) != k1_funct_1(f25(B,A),f3(B,A,C,f25(B,A))). [resolve(166,c,157,c)].
% 0.83/1.09 Derived: -v2_relat_1(A) | -m1_pboole(A,B) | -m1_pboole(A,B) | m1_pboole(f25(B,A),B). [resolve(166,c,160,b)].
% 0.83/1.09 167 -m1_pboole(A,B) | v4_closure2(k6_closure2(B,A),B,A) # label(dt_k6_closure2) # label(axiom). [clausify(36)].
% 0.83/1.09 168 -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -v4_closure2(C,B,A) | v1_fraenkel(C) # label(cc3_closure2) # label(axiom). [clausify(12)].
% 0.83/1.09 169 -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)].
% 0.83/1.09 170 -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -v4_closure2(C,B,A) | v1_fraenkel(C) # label(cc4_closure2) # label(axiom). [clausify(13)].
% 0.83/1.09 171 -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)].
% 0.83/1.09 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(167,b,169,c)].
% 0.83/1.09 172 -m1_pboole(A,B) | v4_closure2(f22(B,A),B,A) # label(rc4_closure2) # label(axiom). [clausify(78)].
% 0.83/1.09 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(f22(B,A),k1_zfmisc_1(k1_closure2(B,A))) | v3_closure2(f22(B,A),B,A). [resolve(172,b,169,c)].
% 0.83/1.09 173 -m1_pboole(A,B) | v5_closure2(k6_closure2(B,A),B,A) # label(dt_k6_closure2) # label(axiom). [clausify(36)].
% 0.83/1.09 174 -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)].
% 0.83/1.09 175 -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -v5_closure2(C,B,A) | v1_fraenkel(C) # label(cc5_closure2) # label(axiom). [clausify(14)].
% 0.83/1.09 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(173,b,174,c)].
% 0.83/1.09 176 -m1_pboole(A,B) | v5_closure2(f22(B,A),B,A) # label(rc4_closure2) # label(axiom). [clausify(78)].
% 0.83/1.09 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(f22(B,A),k1_zfmisc_1(k1_closure2(B,A))) | -v1_xboole_0(f22(B,A)). [resolve(176,b,174,c)].
% 0.83/1.09 177 -m1_pboole(A,B) | v6_closure2(k6_closure2(B,A),B,A) # label(dt_k6_closure2) # label(axiom). [clausify(36)].
% 0.83/1.10 178 -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)].
% 0.83/1.10 179 -m1_pboole(A,B) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | -v6_closure2(C,B,A) | v1_fraenkel(C) # label(cc7_closure2) # label(axiom). [clausify(16)].
% 0.83/1.10 180 -m1_pboole(A,B) | v6_closure2(f22(B,A),B,A) # label(rc4_closure2) # label(axiom). [clausify(78)].
% 0.83/1.10 181 -v1_relat_1(A) | -v1_xboole_0(A) | v2_funct_1(A) | -v1_xboole_0(A). [resolve(106,c,107,b)].
% 0.83/1.10 182 -v1_fraenkel(A) | v1_relat_1(k3_closure2(A)) # label(dt_k3_closure2) # label(axiom). [clausify(32)].
% 0.83/1.10 183 -m1_pboole(A,B) | v1_relat_1(A) # label(dt_m1_pboole) # label(axiom). [clausify(39)].
% 0.83/1.10 184 v1_relat_1(k1_pboole(A)) # label(fc1_mssubfam) # label(axiom). [clausify(47)].
% 0.83/1.10 185 -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(50)].
% 0.83/1.10 186 -v1_xboole_0(A) | -v1_fraenkel(A) | v1_relat_1(k3_closure2(A)) # label(fc3_closure2) # label(axiom). [clausify(52)].
% 0.83/1.10 187 v1_relat_1(k1_pboole(A)) # label(fc3_pboole) # label(axiom). [clausify(53)].
% 0.83/1.10 188 -m1_pboole(A,B) | -v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | v1_relat_1(k4_closure2(B,A,C)) # label(fc4_closure2) # label(axiom). [clausify(54)].
% 0.83/1.10 189 -m1_pboole(A,B) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(B,A))) | v1_relat_1(k4_closure2(B,A,C)) # label(fc5_closure2) # label(axiom). [clausify(55)].
% 0.83/1.10 190 -v1_pre_circ(A,B) | -m1_pboole(A,B) | v1_relat_1(k1_mboolean(B,A)) # label(fc8_mssubfam) # label(axiom). [clausify(56)].
% 0.83/1.10 191 v1_relat_1(c1) # label(rc1_closure2) # label(axiom). [clausify(60)].
% 0.83/1.10 192 v1_relat_1(c3) # label(rc1_funct_1) # label(axiom). [clausify(62)].
% 0.83/1.10 193 -m1_pboole(A,B) | v1_relat_1(f12(B,A)) # label(rc1_mssubfam) # label(axiom). [clausify(63)].
% 0.83/1.10 194 v1_relat_1(c4) # label(rc1_pboole) # label(axiom). [clausify(64)].
% 0.83/1.10 195 v1_relat_1(c6) # label(rc2_funct_1) # label(axiom). [clausify(68)].
% 0.83/1.10 196 -m1_pboole(A,B) | v1_relat_1(f15(B,A)) # label(rc2_mssubfam) # label(axiom). [clausify(69)].
% 0.83/1.10 197 v1_relat_1(f16(A)) # label(rc2_pboole) # label(axiom). [clausify(70)].
% 0.83/1.10 198 -m1_pboole(A,B) | v1_relat_1(f18(B,A)) # label(rc3_closure2) # label(axiom). [clausify(73)].
% 0.83/1.10 199 v1_relat_1(c8) # label(rc3_funct_1) # label(axiom). [clausify(75)].
% 0.83/1.10 200 -m1_pboole(A,B) | v1_relat_1(f20(B,A)) # label(rc3_mssubfam) # label(axiom). [clausify(76)].
% 0.83/1.10 201 v1_relat_1(f21(A)) # label(rc3_pboole) # label(axiom). [clausify(77)].
% 0.83/1.10 202 v1_relat_1(c9) # label(rc4_funct_1) # label(axiom). [clausify(80)].
% 0.83/1.10 203 -v1_pre_circ(A,B) | -m1_pboole(A,B) | v1_relat_1(f24(B,A)) # label(rc4_mssubfam) # label(axiom). [clausify(81)].
% 0.83/1.10 204 v1_relat_1(c10) # label(rc5_funct_1) # label(axiom). [clausify(82)].
% 0.83/1.10 205 -v2_relat_1(A) | -m1_pboole(A,B) | v1_relat_1(f25(B,A)) # label(rc5_pboole) # label(axiom). [clausify(83)].
% 0.83/1.10 Derived: -v1_xboole_0(k3_closure2(A)) | v2_funct_1(k3_closure2(A)) | -v1_xboole_0(k3_closure2(A)) | -v1_fraenkel(A). [resolve(181,a,182,b)].
% 0.83/1.10 Derived: -v1_xboole_0(A) | v2_funct_1(A) | -v1_xboole_0(A) | -m1_pboole(A,B). [resolve(181,a,183,b)].
% 0.83/1.10 Derived: -v1_xboole_0(k1_pboole(A)) | v2_funct_1(k1_pboole(A)) | -v1_xboole_0(k1_pboole(A)). [resolve(181,a,184,a)].
% 0.83/1.10 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(181,a,185,d)].
% 0.83/1.10 Derived: -v1_xboole_0(k4_closure2(A,B,C)) | v2_funct_1(k4_closure2(A,B,C)) | -v1_xboole_0(k4_closure2(A,B,C)) | -m1_pboole(B,A) | -v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))). [resolve(181,a,188,d)].
% 0.83/1.10 Derived: -v1_xboole_0(k4_closure2(A,B,C)) | v2_funct_1(k4_closure2(A,B,C)) | -v1_xboole_0(k4_closure2(A,B,C)) | -m1_pboole(B,A) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))). [resolve(181,a,189,d)].
% 0.83/1.10 Derived: -v1_xboole_0(k1_mboolean(A,B)) | v2_funct_1(k1_mboolean(A,B)) | -v1_xboole_0(k1_mboolean(A,B)) | -v1_pre_circ(B,A) | -m1_pboole(B,A). [resolve(181,a,190,c)].
% 2.52/2.79 Derived: -v1_xboole_0(c1) | v2_funct_1(c1) | -v1_xboole_0(c1). [resolve(181,a,191,a)].
% 2.52/2.79 Derived: -v1_xboole_0(c3) | v2_funct_1(c3) | -v1_xboole_0(c3). [resolve(181,a,192,a)].
% 2.52/2.79 Derived: -v1_xboole_0(f12(A,B)) | v2_funct_1(f12(A,B)) | -v1_xboole_0(f12(A,B)) | -m1_pboole(B,A). [resolve(181,a,193,b)].
% 2.52/2.79 Derived: -v1_xboole_0(c4) | v2_funct_1(c4) | -v1_xboole_0(c4). [resolve(181,a,194,a)].
% 2.52/2.79 Derived: -v1_xboole_0(c6) | v2_funct_1(c6) | -v1_xboole_0(c6). [resolve(181,a,195,a)].
% 2.52/2.79 Derived: -v1_xboole_0(f15(A,B)) | v2_funct_1(f15(A,B)) | -v1_xboole_0(f15(A,B)) | -m1_pboole(B,A). [resolve(181,a,196,b)].
% 2.52/2.79 Derived: -v1_xboole_0(f16(A)) | v2_funct_1(f16(A)) | -v1_xboole_0(f16(A)). [resolve(181,a,197,a)].
% 2.52/2.79 Derived: -v1_xboole_0(f18(A,B)) | v2_funct_1(f18(A,B)) | -v1_xboole_0(f18(A,B)) | -m1_pboole(B,A). [resolve(181,a,198,b)].
% 2.52/2.79 Derived: -v1_xboole_0(c8) | v2_funct_1(c8) | -v1_xboole_0(c8). [resolve(181,a,199,a)].
% 2.52/2.79 Derived: -v1_xboole_0(f20(A,B)) | v2_funct_1(f20(A,B)) | -v1_xboole_0(f20(A,B)) | -m1_pboole(B,A). [resolve(181,a,200,b)].
% 2.52/2.79 Derived: -v1_xboole_0(f21(A)) | v2_funct_1(f21(A)) | -v1_xboole_0(f21(A)). [resolve(181,a,201,a)].
% 2.52/2.79 Derived: -v1_xboole_0(c9) | v2_funct_1(c9) | -v1_xboole_0(c9). [resolve(181,a,202,a)].
% 2.52/2.79 Derived: -v1_xboole_0(f24(A,B)) | v2_funct_1(f24(A,B)) | -v1_xboole_0(f24(A,B)) | -v1_pre_circ(B,A) | -m1_pboole(B,A). [resolve(181,a,203,c)].
% 2.52/2.79 Derived: -v1_xboole_0(c10) | v2_funct_1(c10) | -v1_xboole_0(c10). [resolve(181,a,204,a)].
% 2.52/2.79 Derived: -v1_xboole_0(f25(A,B)) | v2_funct_1(f25(A,B)) | -v1_xboole_0(f25(A,B)) | -v2_relat_1(B) | -m1_pboole(B,A). [resolve(181,a,205,c)].
% 2.52/2.79 206 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(99)].
% 2.52/2.79 207 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(90)].
% 2.52/2.79 208 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(99)].
% 2.52/2.79 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(206,b,207,a)].
% 2.52/2.79
% 2.52/2.79 ============================== end predicate elimination =============
% 2.52/2.79
% 2.52/2.79 Auto_denials: (non-Horn, no changes).
% 2.52/2.79
% 2.52/2.79 Term ordering decisions:
% 2.52/2.79 Function symbol KB weights: k1_xboole_0=1. c1=1. c2=1. c4=1. c5=1. c6=1. c7=1. c9=1. c10=1. c11=1. c12=1. c13=1. k1_closure2=1. k1_mboolean=1. k1_funct_1=1. k6_closure2=1. k2_mboolean=1. k2_closure2=1. k2_funcop_1=1. f1=1. f8=1. f12=1. f14=1. f15=1. f18=1. f20=1. f22=1. f24=1. f25=1. f26=1. k1_zfmisc_1=1. k3_tarski=1. k1_pboole=1. k3_closure2=1. f6=1. f7=1. f13=1. f16=1. f17=1. f19=1. f21=1. f23=1. k2_closure3=1. k4_closure2=1. k5_closure2=1. f2=1. f4=1. f5=1. f27=1. a_4_0_closure3=1. a_4_0_closure2=1. a_4_4_closure3=1. f3=1. f9=1. f10=1. f11=1.
% 2.52/2.79
% 2.52/2.79 ============================== end of process initial clauses ========
% 2.52/2.79
% 2.52/2.79 ============================== CLAUSES FOR SEARCH ====================
% 2.52/2.79
% 2.52/2.79 ============================== end of clauses for search =============
% 2.52/2.79
% 2.52/2.79 ============================== SEARCH ================================
% 2.52/2.79
% 2.52/2.79 % Starting search at 0.13 seconds.
% 2.52/2.79
% 2.52/2.79 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 126 (0.00 of 0.38 sec).
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=39.000, iters=3406
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=38.000, iters=3335
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=35.000, iters=3337
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=33.000, iters=3354
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=31.000, iters=3385
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=29.000, iters=3389
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=28.000, iters=3388
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=27.000, iters=3425
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=25.000, iters=3344
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=24.000, iters=3371
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=23.000, iters=3352
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=22.000, iters=3344
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=21.000, iters=3339
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=19.000, iters=3476
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=18.000, iters=3348
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=17.000, iters=3335
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=16.000, iters=3342
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=15.000, iters=3346
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=14.000, iters=3341
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=13.000, iters=3537
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=12.000, iters=3512
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=11.000, iters=3344
% 2.52/2.79
% 2.52/2.79 Low Water (keep): wt=10.000, iters=3341
% 2.52/2.79
% 2.52/2.79 Low WaterCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------