TSTP Solution File: ALG232+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : ALG232+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:54:11 EDT 2022
% Result : Timeout 300.05s 300.32s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG232+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 21:52:51 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.43/1.05 ============================== Prover9 ===============================
% 0.43/1.05 Prover9 (32) version 2009-11A, November 2009.
% 0.43/1.05 Process 26640 was started by sandbox on n029.cluster.edu,
% 0.43/1.05 Wed Jun 8 21:52:52 2022
% 0.43/1.05 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_26487_n029.cluster.edu".
% 0.43/1.05 ============================== end of head ===========================
% 0.43/1.05
% 0.43/1.05 ============================== INPUT =================================
% 0.43/1.05
% 0.43/1.05 % Reading from file /tmp/Prover9_26487_n029.cluster.edu
% 0.43/1.05
% 0.43/1.05 set(prolog_style_variables).
% 0.43/1.05 set(auto2).
% 0.43/1.05 % set(auto2) -> set(auto).
% 0.43/1.05 % set(auto) -> set(auto_inference).
% 0.43/1.05 % set(auto) -> set(auto_setup).
% 0.43/1.05 % set(auto_setup) -> set(predicate_elim).
% 0.43/1.05 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/1.05 % set(auto) -> set(auto_limits).
% 0.43/1.05 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/1.05 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/1.05 % set(auto) -> set(auto_denials).
% 0.43/1.05 % set(auto) -> set(auto_process).
% 0.43/1.05 % set(auto2) -> assign(new_constants, 1).
% 0.43/1.05 % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/1.05 % set(auto2) -> assign(max_weight, "200.000").
% 0.43/1.05 % set(auto2) -> assign(max_hours, 1).
% 0.43/1.05 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/1.05 % set(auto2) -> assign(max_seconds, 0).
% 0.43/1.05 % set(auto2) -> assign(max_minutes, 5).
% 0.43/1.05 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/1.05 % set(auto2) -> set(sort_initial_sos).
% 0.43/1.05 % set(auto2) -> assign(sos_limit, -1).
% 0.43/1.05 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/1.05 % set(auto2) -> assign(max_megs, 400).
% 0.43/1.05 % set(auto2) -> assign(stats, some).
% 0.43/1.05 % set(auto2) -> clear(echo_input).
% 0.43/1.05 % set(auto2) -> set(quiet).
% 0.43/1.05 % set(auto2) -> clear(print_initial_clauses).
% 0.43/1.05 % set(auto2) -> clear(print_given).
% 0.43/1.05 assign(lrs_ticks,-1).
% 0.43/1.05 assign(sos_limit,10000).
% 0.43/1.05 assign(order,kbo).
% 0.43/1.05 set(lex_order_vars).
% 0.43/1.05 clear(print_given).
% 0.43/1.05
% 0.43/1.05 % formulas(sos). % not echoed (98 formulas)
% 0.43/1.05
% 0.43/1.05 ============================== end of input ==========================
% 0.43/1.05
% 0.43/1.05 % From the command line: assign(max_seconds, 300).
% 0.43/1.05
% 0.43/1.05 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/1.05
% 0.43/1.05 % Formulas that are not ordinary clauses:
% 0.43/1.05 1 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 2 (all A (v1_xboole_0(A) -> v1_fraenkel(A))) # label(cc1_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 3 (all A (v1_xboole_0(A) -> v1_finset_1(A))) # label(cc1_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 4 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 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].
% 0.43/1.05 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].
% 0.43/1.05 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].
% 0.43/1.05 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].
% 0.43/1.05 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].
% 0.43/1.05 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].
% 0.43/1.05 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].
% 0.43/1.05 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].
% 0.43/1.05 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].
% 0.43/1.06 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].
% 0.43/1.06 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].
% 0.43/1.06 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].
% 0.43/1.06 17 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> k3_pboole(A,B,C) = k3_pboole(A,C,B))) # label(commutativity_k3_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 18 (all A all B k3_xboole_0(A,B) = k3_xboole_0(B,A)) # label(commutativity_k3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 19 (all A all B all C all D (m1_pboole(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) -> k4_closure3(A,B,C,D) = k4_closure3(A,B,D,C))) # label(commutativity_k4_closure3) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 20 (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].
% 0.43/1.06 21 (all A all B all C (C = k3_xboole_0(A,B) <-> (all D (r2_hidden(D,C) <-> r2_hidden(D,A) & r2_hidden(D,B))))) # label(d3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 22 (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].
% 0.43/1.06 23 (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].
% 0.43/1.06 24 (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].
% 0.43/1.06 25 (all A all B (m1_pboole(B,A) -> (all C (m1_pboole(C,A) -> (all D (m1_pboole(D,A) -> (D = k3_pboole(A,B,C) <-> (all E (r2_hidden(E,A) -> k1_funct_1(D,E) = k3_xboole_0(k1_funct_1(B,E),k1_funct_1(C,E))))))))))) # label(d8_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 26 $T # label(dt_k1_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 27 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 28 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 29 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 30 (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].
% 0.43/1.06 31 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> m1_pboole(k3_pboole(A,B,C),A))) # label(dt_k3_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 32 $T # label(dt_k3_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 33 $T # label(dt_k3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 34 (all A all B all C all D (m1_pboole(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) -> m1_subset_1(k4_closure3(A,B,C,D),k1_zfmisc_1(k1_closure2(A,B))))) # label(dt_k4_closure3) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 35 (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].
% 0.43/1.06 36 (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].
% 0.43/1.06 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_closure3(D,A,B,C) -> m1_pboole(D,A))))) # label(dt_m1_closure3) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 38 (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].
% 0.43/1.06 39 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 40 (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].
% 0.43/1.06 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))) -> (exists D m1_closure2(D,A,B,C)))) # label(existence_m1_closure2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 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_closure3(D,A,B,C)))) # label(existence_m1_closure3) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 43 (all A exists B m1_pboole(B,A)) # label(existence_m1_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 44 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 45 (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].
% 0.43/1.06 46 (all A all B (v1_finset_1(B) -> v1_finset_1(k3_xboole_0(A,B)))) # label(fc10_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 47 (all A all B (v1_finset_1(A) -> v1_finset_1(k3_xboole_0(A,B)))) # label(fc11_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 48 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 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].
% 0.43/1.06 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].
% 0.43/1.06 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].
% 0.43/1.06 52 (all A all B all C (m1_pboole(B,A) & v1_pre_circ(C,A) & m1_pboole(C,A) -> v1_relat_1(k3_pboole(A,B,C)) & v1_funct_1(k3_pboole(A,B,C)) & v1_pre_circ(k3_pboole(A,B,C),A))) # label(fc3_mssubfam) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 53 (all A all B all C (m1_pboole(B,A) & v1_pre_circ(C,A) & m1_pboole(C,A) -> v1_relat_1(k3_pboole(A,C,B)) & v1_funct_1(k3_pboole(A,C,B)) & v1_pre_circ(k3_pboole(A,C,B),A))) # label(fc4_mssubfam) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 54 (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].
% 0.43/1.06 55 (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].
% 0.43/1.06 56 (all A all B all C all D all E all F (m1_pboole(C,B) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(B,C))) & m1_subset_1(E,k1_zfmisc_1(k1_closure2(B,C))) -> (r2_hidden(A,a_5_1_closure3(B,C,D,E,F)) <-> (exists G (m1_closure3(G,B,C,k6_closure2(B,C)) & A = k1_funct_1(G,F) & r2_hidden(G,k4_closure3(B,C,D,E))))))) # label(fraenkel_a_5_1_closure3) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 57 (all A all B all C (m1_pboole(B,A) & m1_pboole(C,A) -> k3_pboole(A,B,B) = B)) # label(idempotence_k3_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 58 (all A all B k3_xboole_0(A,A) = A) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 59 (all A all B all C all D (m1_pboole(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) -> k4_closure3(A,B,C,C) = C)) # label(idempotence_k4_closure3) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 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].
% 0.43/1.06 61 (exists A (-v1_xboole_0(A) & v1_finset_1(A))) # label(rc1_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 62 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 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].
% 0.43/1.06 64 (exists A (v1_relat_1(A) & v3_relat_1(A) & v1_funct_1(A))) # label(rc1_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 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].
% 0.43/1.06 66 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 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].
% 0.43/1.06 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].
% 0.43/1.06 69 (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].
% 0.43/1.06 70 (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].
% 0.43/1.06 71 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 72 (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].
% 0.43/1.06 73 (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].
% 0.43/1.06 74 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 75 (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].
% 0.43/1.06 76 (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].
% 0.43/1.06 77 (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].
% 0.43/1.06 78 (exists A (v1_relat_1(A) & v3_relat_1(A) & v1_funct_1(A))) # label(rc4_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.79/1.07 79 (exists A (v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A))) # label(rc5_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.79/1.07 80 (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].
% 0.79/1.07 81 (all A all B all C all D (m1_pboole(B,A) & m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) & m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) -> k4_closure3(A,B,C,D) = k3_xboole_0(C,D))) # label(redefinition_k4_closure3) # label(axiom) # label(non_clause). [assumption].
% 0.79/1.07 82 (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].
% 0.79/1.07 83 (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].
% 0.79/1.07 84 (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].
% 0.79/1.07 85 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.79/1.07 86 (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].
% 0.79/1.07 87 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.79/1.07 88 (all A k3_xboole_0(A,k1_xboole_0) = k1_xboole_0) # label(t2_boole) # label(axiom) # label(non_clause). [assumption].
% 0.79/1.07 89 (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].
% 0.79/1.07 90 (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].
% 0.79/1.07 91 (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].
% 0.79/1.07 92 (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].
% 0.79/1.07 93 (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].
% 0.79/1.07 94 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.79/1.07 95 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.79/1.07 96 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.79/1.07 97 -(all A all B (m1_pboole(B,A) -> (all C (m1_subset_1(C,k1_zfmisc_1(k1_closure2(A,B))) -> (all D (m1_subset_1(D,k1_zfmisc_1(k1_closure2(A,B))) -> r2_pboole(A,k2_closure3(A,B,k4_closure3(A,B,C,D)),k3_pboole(A,k2_closure3(A,B,C),k2_closure3(A,B,D))))))))) # label(t13_closure3) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.79/1.07
% 0.79/1.07 ============================== end of process non-clausal formulas ===
% 0.79/1.07
% 0.79/1.07 ============================== PROCESS INITIAL CLAUSES ===============
% 0.79/1.07
% 0.79/1.07 ============================== PREDICATE ELIMINATION =================
% 0.79/1.07 98 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(9)].
% 0.79/1.07 99 -v1_xboole_0(A) | v1_funct_1(A) # label(cc1_funct_1) # label(axiom). [clausify(4)].
% 0.79/1.07 Derived: -v1_relat_1(A) | -v1_xboole_0(A) | v2_funct_1(A) | -v1_xboole_0(A). [resolve(98,c,99,b)].
% 0.79/1.07 100 -m1_pboole(A,B) | v1_funct_1(A) # label(dt_m1_pboole) # label(axiom). [clausify(38)].
% 0.79/1.07 101 -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)].
% 0.79/1.07 102 -m1_pboole(A,B) | -v1_pre_circ(C,B) | -m1_pboole(C,B) | v1_funct_1(k3_pboole(B,A,C)) # label(fc3_mssubfam) # label(axiom). [clausify(52)].
% 0.79/1.08 103 -m1_pboole(A,B) | -v1_pre_circ(C,B) | -m1_pboole(C,B) | v1_funct_1(k3_pboole(B,C,A)) # label(fc4_mssubfam) # label(axiom). [clausify(53)].
% 0.79/1.08 104 v1_funct_1(c1) # label(rc1_closure2) # label(axiom). [clausify(60)].
% 0.79/1.08 105 v1_funct_1(c3) # label(rc1_funct_1) # label(axiom). [clausify(62)].
% 0.79/1.08 106 -m1_pboole(A,B) | v1_funct_1(f17(B,A)) # label(rc1_mssubfam) # label(axiom). [clausify(63)].
% 0.79/1.08 107 v1_funct_1(c4) # label(rc1_pboole) # label(axiom). [clausify(64)].
% 0.79/1.08 108 v1_funct_1(c6) # label(rc2_funct_1) # label(axiom). [clausify(68)].
% 0.79/1.08 109 v1_funct_1(f20(A)) # label(rc2_pboole) # label(axiom). [clausify(69)].
% 0.79/1.08 110 -m1_pboole(A,B) | v1_funct_1(f22(B,A)) # label(rc3_closure2) # label(axiom). [clausify(72)].
% 0.79/1.08 111 v1_funct_1(c8) # label(rc3_funct_1) # label(axiom). [clausify(74)].
% 0.79/1.08 112 v1_funct_1(f24(A)) # label(rc3_pboole) # label(axiom). [clausify(75)].
% 0.79/1.08 113 v1_funct_1(c9) # label(rc4_funct_1) # label(axiom). [clausify(78)].
% 0.79/1.08 114 v1_funct_1(c10) # label(rc5_funct_1) # label(axiom). [clausify(79)].
% 0.79/1.08 115 -v2_relat_1(A) | -m1_pboole(A,B) | v1_funct_1(f27(B,A)) # label(rc5_pboole) # label(axiom). [clausify(80)].
% 0.79/1.08 116 -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)].
% 0.79/1.08 117 -m1_pboole(A,B) | -v3_relat_1(A) | v1_pre_circ(A,B) # label(cc1_mssubfam) # label(axiom). [clausify(5)].
% 0.79/1.08 118 v1_xboole_0(A) | -m1_pboole(B,A) | -v2_relat_1(B) | -v3_relat_1(B) # label(cc1_pboole) # label(axiom). [clausify(6)].
% 0.79/1.08 119 v1_xboole_0(A) | -m1_pboole(B,A) | -v3_relat_1(B) | -v2_relat_1(B) # label(cc2_pboole) # label(axiom). [clausify(11)].
% 0.79/1.08 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(116,d,117,b)].
% 0.79/1.08 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(116,d,118,d)].
% 0.79/1.08 120 -m1_pboole(A,B) | v3_relat_1(f17(B,A)) # label(rc1_mssubfam) # label(axiom). [clausify(63)].
% 0.79/1.08 Derived: -m1_pboole(A,B) | -m1_pboole(f17(B,A),C) | v1_pre_circ(f17(B,A),C). [resolve(120,b,117,b)].
% 0.79/1.08 Derived: -m1_pboole(A,B) | v1_xboole_0(C) | -m1_pboole(f17(B,A),C) | -v2_relat_1(f17(B,A)). [resolve(120,b,118,d)].
% 0.79/1.08 121 v3_relat_1(c4) # label(rc1_pboole) # label(axiom). [clausify(64)].
% 0.79/1.08 Derived: -m1_pboole(c4,A) | v1_pre_circ(c4,A). [resolve(121,a,117,b)].
% 0.79/1.08 Derived: v1_xboole_0(A) | -m1_pboole(c4,A) | -v2_relat_1(c4). [resolve(121,a,118,d)].
% 0.79/1.08 122 v3_relat_1(f20(A)) # label(rc2_pboole) # label(axiom). [clausify(69)].
% 0.79/1.08 Derived: -m1_pboole(f20(A),B) | v1_pre_circ(f20(A),B). [resolve(122,a,117,b)].
% 0.79/1.08 Derived: v1_xboole_0(A) | -m1_pboole(f20(B),A) | -v2_relat_1(f20(B)). [resolve(122,a,118,d)].
% 0.79/1.08 123 v3_relat_1(c9) # label(rc4_funct_1) # label(axiom). [clausify(78)].
% 0.79/1.08 Derived: -m1_pboole(c9,A) | v1_pre_circ(c9,A). [resolve(123,a,117,b)].
% 0.79/1.08 Derived: v1_xboole_0(A) | -m1_pboole(c9,A) | -v2_relat_1(c9). [resolve(123,a,118,d)].
% 0.79/1.08 124 -m1_pboole(A,B) | v2_closure2(k6_closure2(B,A),B,A) # label(dt_k6_closure2) # label(axiom). [clausify(35)].
% 0.79/1.08 125 -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)].
% 0.79/1.08 126 -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)].
% 0.79/1.08 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(k6_closure2(B,A),k1_zfmisc_1(k1_closure2(B,A))) | v1_closure2(k6_closure2(B,A),B,A). [resolve(124,b,125,c)].
% 0.79/1.08 127 -m1_pboole(A,B) | v2_closure2(f25(B,A),B,A) # label(rc4_closure2) # label(axiom). [clausify(76)].
% 0.79/1.08 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | -m1_subset_1(f25(B,A),k1_zfmisc_1(k1_closure2(B,A))) | v1_closure2(f25(B,A),B,A). [resolve(127,b,125,c)].
% 0.79/1.08 128 -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(30)].
% 0.83/1.08 129 -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)].
% 0.83/1.08 130 -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(22)].
% 0.83/1.08 131 -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(22)].
% 0.83/1.08 132 -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(22)].
% 0.83/1.08 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(128,c,129,c)].
% 0.83/1.08 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(128,c,130,c)].
% 0.83/1.08 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(128,c,131,c)].
% 0.83/1.08 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(128,c,132,c)].
% 0.83/1.08 133 -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(36)].
% 0.83/1.08 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(133,e,129,c)].
% 0.83/1.08 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(133,e,130,c)].
% 0.83/1.08 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(133,e,131,c)].
% 0.83/1.08 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(133,e,132,c)].
% 0.83/1.08 134 -m1_pboole(A,B) | -m4_pboole(C,B,A) | m1_pboole(C,B) # label(dt_m4_pboole) # label(axiom). [clausify(40)].
% 0.83/1.08 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(134,b,128,c)].
% 0.83/1.08 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(134,b,133,e)].
% 0.83/1.08 135 -m1_pboole(A,B) | m4_pboole(f13(B,A),B,A) # label(existence_m4_pboole) # label(axiom). [clausify(45)].
% 0.83/1.08 Derived: -m1_pboole(A,B) | -v1_pre_circ(A,B) | -m1_pboole(A,B) | v1_pre_circ(f13(B,A),B). [resolve(135,b,129,c)].
% 0.83/1.08 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) != f13(B,A) | -r2_hidden(D,B) | k3_tarski(a_4_0_closure3(B,A,C,D)) = k1_funct_1(f13(B,A),D). [resolve(135,b,130,c)].
% 0.83/1.10 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) = f13(B,A) | r2_hidden(f3(B,A,C,f13(B,A)),B). [resolve(135,b,131,c)].
% 0.83/1.10 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) = f13(B,A) | k3_tarski(a_4_0_closure3(B,A,C,f3(B,A,C,f13(B,A)))) != k1_funct_1(f13(B,A),f3(B,A,C,f13(B,A))). [resolve(135,b,132,c)].
% 0.83/1.10 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | m1_pboole(f13(B,A),B). [resolve(135,b,134,b)].
% 0.83/1.10 136 -m1_pboole(A,B) | m4_pboole(f17(B,A),B,A) # label(rc1_mssubfam) # label(axiom). [clausify(63)].
% 0.83/1.10 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(136,b,130,c)].
% 0.83/1.10 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(f3(B,A,C,f17(B,A)),B). [resolve(136,b,131,c)].
% 0.83/1.10 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,f3(B,A,C,f17(B,A)))) != k1_funct_1(f17(B,A),f3(B,A,C,f17(B,A))). [resolve(136,b,132,c)].
% 0.83/1.10 Derived: -m1_pboole(A,B) | -m1_pboole(A,B) | m1_pboole(f17(B,A),B). [resolve(136,b,134,b)].
% 0.83/1.10 137 -v2_relat_1(A) | -m1_pboole(A,B) | m4_pboole(f27(B,A),B,A) # label(rc5_pboole) # label(axiom). [clausify(80)].
% 0.83/1.10 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(137,c,129,c)].
% 0.83/1.10 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(137,c,130,c)].
% 0.83/1.10 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(f3(B,A,C,f27(B,A)),B). [resolve(137,c,131,c)].
% 0.83/1.10 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,f3(B,A,C,f27(B,A)))) != k1_funct_1(f27(B,A),f3(B,A,C,f27(B,A))). [resolve(137,c,132,c)].
% 0.83/1.10 Derived: -v2_relat_1(A) | -m1_pboole(A,B) | -m1_pboole(A,B) | m1_pboole(f27(B,A),B). [resolve(137,c,134,b)].
% 0.83/1.10 138 -m1_pboole(A,B) | v4_closure2(k6_closure2(B,A),B,A) # label(dt_k6_closure2) # label(axiom). [clausify(35)].
% 0.83/1.10 139 -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)].
% 0.83/1.10 140 -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)].
% 0.83/1.10 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(138,b,139,c)].
% 0.83/1.10 141 -m1_pboole(A,B) | v4_closure2(f25(B,A),B,A) # label(rc4_closure2) # label(axiom). [clausify(76)].
% 0.83/1.10 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(141,b,139,c)].
% 0.83/1.10 142 -m1_pboole(A,B) | v5_closure2(k6_closure2(B,A),B,A) # label(dt_k6_closure2) # label(axiom). [clausify(35)].
% 0.83/1.10 143 -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)].
% 0.83/1.10 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(142,b,143,c)].
% 0.83/1.10 144 -m1_pboole(A,B) | v5_closure2(f25(B,A),B,A) # label(rc4_closure2) # label(axiom). [clausify(76)].
% 0.83/1.10 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(144,b,143,c)].
% 0.83/1.10 145 -m1_pboole(A,B) | v6_closure2(k6_closure2(B,A),B,A) # label(dt_k6_closure2) # label(axiom). [clausify(35)].
% 0.90/1.15 146 -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)].
% 0.90/1.15 147 -m1_pboole(A,B) | v6_closure2(f25(B,A),B,A) # label(rc4_closure2) # label(axiom). [clausify(76)].
% 0.90/1.15 148 -v1_relat_1(A) | -v1_xboole_0(A) | v2_funct_1(A) | -v1_xboole_0(A). [resolve(98,c,99,b)].
% 0.90/1.15 149 -m1_pboole(A,B) | v1_relat_1(A) # label(dt_m1_pboole) # label(axiom). [clausify(38)].
% 0.90/1.15 150 -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)].
% 0.90/1.15 151 -m1_pboole(A,B) | -v1_pre_circ(C,B) | -m1_pboole(C,B) | v1_relat_1(k3_pboole(B,A,C)) # label(fc3_mssubfam) # label(axiom). [clausify(52)].
% 0.90/1.15 152 -m1_pboole(A,B) | -v1_pre_circ(C,B) | -m1_pboole(C,B) | v1_relat_1(k3_pboole(B,C,A)) # label(fc4_mssubfam) # label(axiom). [clausify(53)].
% 0.90/1.15 153 v1_relat_1(c1) # label(rc1_closure2) # label(axiom). [clausify(60)].
% 0.90/1.15 154 v1_relat_1(c3) # label(rc1_funct_1) # label(axiom). [clausify(62)].
% 0.90/1.15 155 -m1_pboole(A,B) | v1_relat_1(f17(B,A)) # label(rc1_mssubfam) # label(axiom). [clausify(63)].
% 0.90/1.15 156 v1_relat_1(c4) # label(rc1_pboole) # label(axiom). [clausify(64)].
% 0.90/1.15 157 v1_relat_1(c6) # label(rc2_funct_1) # label(axiom). [clausify(68)].
% 0.90/1.15 158 v1_relat_1(f20(A)) # label(rc2_pboole) # label(axiom). [clausify(69)].
% 0.90/1.15 159 -m1_pboole(A,B) | v1_relat_1(f22(B,A)) # label(rc3_closure2) # label(axiom). [clausify(72)].
% 0.90/1.15 160 v1_relat_1(c8) # label(rc3_funct_1) # label(axiom). [clausify(74)].
% 0.90/1.15 161 v1_relat_1(f24(A)) # label(rc3_pboole) # label(axiom). [clausify(75)].
% 0.90/1.15 162 v1_relat_1(c9) # label(rc4_funct_1) # label(axiom). [clausify(78)].
% 0.90/1.15 163 v1_relat_1(c10) # label(rc5_funct_1) # label(axiom). [clausify(79)].
% 0.90/1.15 164 -v2_relat_1(A) | -m1_pboole(A,B) | v1_relat_1(f27(B,A)) # label(rc5_pboole) # label(axiom). [clausify(80)].
% 0.90/1.15 Derived: -v1_xboole_0(A) | v2_funct_1(A) | -v1_xboole_0(A) | -m1_pboole(A,B). [resolve(148,a,149,b)].
% 0.90/1.15 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(148,a,150,d)].
% 0.90/1.15 Derived: -v1_xboole_0(k3_pboole(A,B,C)) | v2_funct_1(k3_pboole(A,B,C)) | -v1_xboole_0(k3_pboole(A,B,C)) | -m1_pboole(B,A) | -v1_pre_circ(C,A) | -m1_pboole(C,A). [resolve(148,a,151,d)].
% 0.90/1.15 Derived: -v1_xboole_0(k3_pboole(A,B,C)) | v2_funct_1(k3_pboole(A,B,C)) | -v1_xboole_0(k3_pboole(A,B,C)) | -m1_pboole(C,A) | -v1_pre_circ(B,A) | -m1_pboole(B,A). [resolve(148,a,152,d)].
% 0.90/1.15 Derived: -v1_xboole_0(c1) | v2_funct_1(c1) | -v1_xboole_0(c1). [resolve(148,a,153,a)].
% 0.90/1.15 Derived: -v1_xboole_0(c3) | v2_funct_1(c3) | -v1_xboole_0(c3). [resolve(148,a,154,a)].
% 0.90/1.15 Derived: -v1_xboole_0(f17(A,B)) | v2_funct_1(f17(A,B)) | -v1_xboole_0(f17(A,B)) | -m1_pboole(B,A). [resolve(148,a,155,b)].
% 0.90/1.15 Derived: -v1_xboole_0(c4) | v2_funct_1(c4) | -v1_xboole_0(c4). [resolve(148,a,156,a)].
% 0.90/1.15 Derived: -v1_xboole_0(c6) | v2_funct_1(c6) | -v1_xboole_0(c6). [resolve(148,a,157,a)].
% 0.90/1.15 Derived: -v1_xboole_0(f20(A)) | v2_funct_1(f20(A)) | -v1_xboole_0(f20(A)). [resolve(148,a,158,a)].
% 0.90/1.15 Derived: -v1_xboole_0(f22(A,B)) | v2_funct_1(f22(A,B)) | -v1_xboole_0(f22(A,B)) | -m1_pboole(B,A). [resolve(148,a,159,b)].
% 0.90/1.15 Derived: -v1_xboole_0(c8) | v2_funct_1(c8) | -v1_xboole_0(c8). [resolve(148,a,160,a)].
% 0.90/1.15 Derived: -v1_xboole_0(f24(A)) | v2_funct_1(f24(A)) | -v1_xboole_0(f24(A)). [resolve(148,a,161,a)].
% 0.90/1.15 Derived: -v1_xboole_0(c9) | v2_funct_1(c9) | -v1_xboole_0(c9). [resolve(148,a,162,a)].
% 0.90/1.15 Derived: -v1_xboole_0(c10) | v2_funct_1(c10) | -v1_xboole_0(c10). [resolve(148,a,163,a)].
% 0.90/1.15 Derived: -v1_xboole_0(f27(A,B)) | v2_funct_1(f27(A,B)) | -v1_xboole_0(f27(A,B)) | -v2_relat_1(B) | -m1_pboole(B,A). [resolve(148,a,164,c)].
% 0.90/1.15
% 0.90/1.15 ============================== end predicate elimination =============
% 0.90/1.15
% 0.90/1.15 Auto_denials: (non-Horn, no changes).
% 0.90/1.15
% 0.90/1.15 Term ordering decisions:
% 0.90/1.15 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. c14=1Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------