TSTP Solution File: TOP043+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : TOP043+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n021.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 21 21:33:54 EDT 2022
% Result : Timeout 300.04s 300.32s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : TOP043+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun May 29 12:15:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.43/1.05 ============================== Prover9 ===============================
% 0.43/1.05 Prover9 (32) version 2009-11A, November 2009.
% 0.43/1.05 Process 32207 was started by sandbox on n021.cluster.edu,
% 0.43/1.05 Sun May 29 12:15:28 2022
% 0.43/1.05 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_32054_n021.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_32054_n021.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 (102 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 (l1_pre_topc(A) -> (v1_pre_topc(A) -> A = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A))))) # label(abstractness_v1_pre_topc) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 2 (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 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_monoid_0(A) & l1_struct_0(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> v1_relat_1(B) & v1_funct_1(B))))) # label(cc1_monoid_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 5 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) -> v1_relat_1(C))) # label(cc1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 6 (all A (v1_relat_1(A) & v1_funct_1(A) & v1_waybel18(A) -> v1_relat_1(A) & v1_funct_1(A) & v2_pralg_1(A))) # label(cc1_waybel18) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 7 (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 8 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C (C = k10_relat_1(A,B) <-> (all D (r2_hidden(D,C) <-> r2_hidden(D,k1_relat_1(A)) & r2_hidden(k1_funct_1(A,D),B))))))) # label(d13_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 9 (all A all B (v4_waybel_3(B) & v1_waybel18(B) & m1_pboole(B,A) -> (all C (v1_pre_topc(C) & v2_pre_topc(C) & l1_pre_topc(C) -> (C = k3_waybel18(A,B) <-> u1_struct_0(C) = k4_card_3(k12_pralg_1(A,B)) & m2_cantor_1(k2_waybel18(A,B),C)))))) # label(d3_waybel18) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 10 (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].
% 0.43/1.05 11 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> v1_pre_topc(g1_pre_topc(A,B)) & l1_pre_topc(g1_pre_topc(A,B)))) # label(dt_g1_pre_topc) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 12 $T # label(dt_k10_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 13 (all A all B (v2_pralg_1(B) & m1_pboole(B,A) -> m1_pboole(k12_pralg_1(A,B),A))) # label(dt_k12_pralg_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 14 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 15 $T # label(dt_k1_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 16 (all A all B (-v3_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 17 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 18 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 19 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 20 (all A (l1_struct_0(A) -> m1_subset_1(k2_pre_topc(A),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k2_pre_topc) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 21 (all A all B (v1_waybel18(B) & m1_pboole(B,A) -> m1_subset_1(k2_waybel18(A,B),k1_zfmisc_1(k1_zfmisc_1(k4_card_3(k12_pralg_1(A,B))))))) # label(dt_k2_waybel18) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 22 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 23 $T # label(dt_k3_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 24 (all A all B (v4_waybel_3(B) & v1_waybel18(B) & m1_pboole(B,A) -> v1_pre_topc(k3_waybel18(A,B)) & v2_pre_topc(k3_waybel18(A,B)) & l1_pre_topc(k3_waybel18(A,B)))) # label(dt_k3_waybel18) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 25 $T # label(dt_k4_card_3) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 26 (all A all B all C (-v1_xboole_0(A) & v4_waybel_3(B) & v1_waybel18(B) & m1_pboole(B,A) & m1_subset_1(C,A) -> -v3_struct_0(k4_waybel18(A,B,C)) & l1_pre_topc(k4_waybel18(A,B,C)))) # label(dt_k4_waybel18) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 27 (all A all B all C all D (l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> m1_subset_1(k5_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k5_pre_topc) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 28 (all A all B all C all D (-v1_xboole_0(A) & v4_waybel_3(B) & v1_waybel18(B) & m1_pboole(B,A) & m1_subset_1(C,u1_struct_0(k3_waybel18(A,B))) & m1_subset_1(D,A) -> m1_subset_1(k5_waybel18(A,B,C,D),u1_struct_0(k4_waybel18(A,B,D))))) # label(dt_k5_waybel18) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 29 (all A all B all C (-v1_xboole_0(A) & v4_waybel_3(B) & v1_waybel18(B) & m1_pboole(B,A) & m1_subset_1(C,A) -> v1_funct_1(k6_waybel18(A,B,C)) & v1_funct_2(k6_waybel18(A,B,C),u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C))) & m2_relset_1(k6_waybel18(A,B,C),u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C))))) # label(dt_k6_waybel18) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 30 (all A (l1_pre_topc(A) -> l1_struct_0(A))) # label(dt_l1_pre_topc) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 31 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 32 (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].
% 0.43/1.05 33 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 34 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 35 (all A (l1_pre_topc(A) -> (all B (m2_cantor_1(B,A) -> m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))))) # label(dt_m2_cantor_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 36 (all A all B all C (m2_relset_1(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))) # label(dt_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 37 (all A (l1_pre_topc(A) -> m1_subset_1(u1_pre_topc(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))))) # label(dt_u1_pre_topc) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 38 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 39 (exists A l1_pre_topc(A)) # label(existence_l1_pre_topc) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 40 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 41 (all A exists B m1_pboole(B,A)) # label(existence_m1_pboole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 42 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 43 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 44 (all A (l1_pre_topc(A) -> (exists B m2_cantor_1(B,A)))) # label(existence_m2_cantor_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 45 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 46 (all A all B (v1_finset_1(A) & v1_finset_1(B) -> v1_finset_1(k2_zfmisc_1(A,B)))) # label(fc14_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 47 (all A (-v1_xboole_0(k1_tarski(A)) & v1_finset_1(k1_tarski(A)))) # label(fc1_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 48 (all A (-v3_struct_0(A) & l1_struct_0(A) -> -v1_xboole_0(u1_struct_0(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 49 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 50 (all A all B (v4_waybel_3(B) & v1_waybel18(B) & m1_pboole(B,A) -> -v3_struct_0(k3_waybel18(A,B)) & v1_pre_topc(k3_waybel18(A,B)) & v2_pre_topc(k3_waybel18(A,B)))) # label(fc1_waybel18) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 51 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> -v1_xboole_0(u1_pre_topc(A)))) # label(fc2_cantor_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 52 (all A (-v3_struct_0(A) & l1_struct_0(A) -> -v1_xboole_0(k2_pre_topc(A)))) # label(fc2_pre_topc) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 53 (all A -v1_xboole_0(k1_tarski(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 54 (all A all B (v4_waybel_3(B) & v1_waybel18(B) & m1_pboole(B,A) -> -v3_struct_0(k3_waybel18(A,B)) & v1_pre_topc(k3_waybel18(A,B)) & v2_pre_topc(k3_waybel18(A,B)) & v1_monoid_0(k3_waybel18(A,B)))) # label(fc2_waybel18) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 55 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_fraenkel(k4_card_3(A)))) # label(fc3_card_3) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 56 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> -v1_xboole_0(k2_zfmisc_1(A,B)))) # label(fc4_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 57 (all A (v1_relat_1(A) & v2_relat_1(A) & v1_funct_1(A) -> -v1_xboole_0(k4_card_3(A)) & v1_fraenkel(k4_card_3(A)))) # label(fc5_card_3) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 58 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> v4_pre_topc(k2_pre_topc(A),A))) # label(fc5_pre_topc) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 59 (all A all B (v2_pralg_1(B) & v4_waybel_3(B) & m1_pboole(B,A) -> v1_relat_1(k12_pralg_1(A,B)) & v2_relat_1(k12_pralg_1(A,B)) & v1_funct_1(k12_pralg_1(A,B)))) # label(fc5_yellow_6) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 60 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> (all C all D (g1_pre_topc(A,B) = g1_pre_topc(C,D) -> A = C & B = D)))) # label(free_g1_pre_topc) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 61 (exists A (-v1_xboole_0(A) & v1_finset_1(A))) # label(rc1_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 62 (exists A (l1_struct_0(A) & v1_monoid_0(A))) # label(rc1_monoid_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 63 (exists A (l1_pre_topc(A) & v1_pre_topc(A))) # label(rc1_pre_topc) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 64 (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 65 (all A exists B (m1_pboole(B,A) & v1_relat_1(B) & v1_funct_1(B) & v2_pralg_1(B) & v1_waybel18(B))) # label(rc1_waybel18) # 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 (exists A (l1_pre_topc(A) & -v3_struct_0(A) & v1_pre_topc(A) & v2_pre_topc(A))) # label(rc2_pre_topc) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 68 (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 69 (all A exists B (m1_pboole(B,A) & v1_relat_1(B) & v1_funct_1(B) & v4_waybel_3(B) & v2_pralg_1(B) & v1_waybel18(B))) # label(rc2_waybel18) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 70 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 71 (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 72 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 73 (all A exists B (m1_pboole(B,A) & v1_relat_1(B) & v1_funct_1(B) & v2_pralg_1(B) & v4_waybel_3(B))) # label(rc3_yellow_6) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 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(rc4_finset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 75 (all A (-v3_struct_0(A) & l1_struct_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B))))) # label(rc5_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 76 (all A (v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(B,A))))) # label(rc6_pre_topc) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 77 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & v4_pre_topc(B,A))))) # label(rc7_pre_topc) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 78 (all A all B (-v3_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) -> k1_struct_0(A,B) = k1_tarski(B))) # label(redefinition_k1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 79 (all A all B all C (-v1_xboole_0(A) & v4_waybel_3(B) & v1_waybel18(B) & m1_pboole(B,A) & m1_subset_1(C,A) -> k4_waybel18(A,B,C) = k1_funct_1(B,C))) # label(redefinition_k4_waybel18) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 80 (all A all B all C all D (l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) -> k5_pre_topc(A,B,C,D) = k10_relat_1(C,D))) # label(redefinition_k5_pre_topc) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 81 (all A all B all C all D (-v1_xboole_0(A) & v4_waybel_3(B) & v1_waybel18(B) & m1_pboole(B,A) & m1_subset_1(C,u1_struct_0(k3_waybel18(A,B))) & m1_subset_1(D,A) -> k5_waybel18(A,B,C,D) = k1_funct_1(C,D))) # label(redefinition_k5_waybel18) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 82 (all A all B all C (m2_relset_1(C,A,B) <-> m1_relset_1(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 83 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 84 (all A all B all C all D (-v1_xboole_0(A) & v4_waybel_3(B) & v1_waybel18(B) & m1_pboole(B,A) & m2_cantor_1(C,k3_waybel18(A,B)) & m1_subset_1(D,k1_zfmisc_1(C)) -> ((all E (m1_subset_1(E,A) -> (exists F (m1_subset_1(F,u1_struct_0(k4_waybel18(A,B,E))) & (all G (v1_finset_1(G) & m1_subset_1(G,k1_zfmisc_1(D)) -> -r1_tarski(k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,E),k6_waybel18(A,B,E),k1_tarski(F)),k3_tarski(G)))))))) -> (exists E (m1_subset_1(E,u1_struct_0(k3_waybel18(A,B))) & (all F (m1_subset_1(F,A) -> (all H (v1_finset_1(H) & m1_subset_1(H,k1_zfmisc_1(D)) -> -r1_tarski(k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,F),k6_waybel18(A,B,F),k1_tarski(k5_waybel18(A,B,E,F))),k3_tarski(H))))))))))) # label(s1_yellow17__e8_25__yellow17) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 85 (all A (l1_struct_0(A) -> k2_pre_topc(A) = u1_struct_0(A))) # label(t12_pre_topc) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 86 (all A (-v3_struct_0(A) & v2_pre_topc(A) & l1_pre_topc(A) -> (all B (m2_cantor_1(B,A) -> (v2_compts_1(A) <-> (all C (m1_subset_1(C,k1_zfmisc_1(B)) -> -(r1_tarski(k2_pre_topc(A),k3_tarski(C)) & (all D (v1_finset_1(D) & m1_subset_1(D,k1_zfmisc_1(C)) -> -r1_tarski(k2_pre_topc(A),k3_tarski(D)))))))))))) # label(t16_yellow17) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 87 (all A all B all C (v1_relat_1(C) -> (r1_tarski(A,B) -> r1_tarski(k10_relat_1(C,A),k10_relat_1(C,B))))) # label(t178_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 88 (all A (-v1_xboole_0(A) -> (all B (v4_waybel_3(B) & v1_waybel18(B) & m1_pboole(B,A) -> (all C -(r2_hidden(C,k2_waybel18(A,B)) & (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,D)))) -> -(v3_pre_topc(E,k4_waybel18(A,B,D)) & k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,D),k6_waybel18(A,B,D),E) = C))))))))))) # label(t17_yellow17) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 89 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 90 (all A (-v1_xboole_0(A) -> (all B (v4_waybel_3(B) & v1_waybel18(B) & m1_pboole(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,k1_zfmisc_1(k2_waybel18(A,B))) -> -((all E (m1_subset_1(E,A) -> v2_compts_1(k4_waybel18(A,B,E)))) & (all E (v1_finset_1(E) & m1_subset_1(E,k1_zfmisc_1(D)) -> -r1_tarski(k2_pre_topc(k3_waybel18(A,B)),k3_tarski(E)))) & (all E (m1_subset_1(E,u1_struct_0(k4_waybel18(A,B,C))) -> (exists F (v1_finset_1(F) & m1_subset_1(F,k1_zfmisc_1(D)) & r1_tarski(k5_pre_topc(k3_waybel18(A,B),k4_waybel18(A,B,C),k6_waybel18(A,B,C),k1_struct_0(k4_waybel18(A,B,C),E)),k3_tarski(F))))))))))))))) # label(t23_yellow17) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 91 (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].
% 0.43/1.06 92 (all A k3_tarski(k1_tarski(A)) = A) # label(t31_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 93 (all A all B (r1_tarski(k1_tarski(A),B) <-> r2_hidden(A,B))) # label(t37_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 94 (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].
% 0.43/1.06 95 (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].
% 0.43/1.06 96 (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].
% 0.43/1.06 97 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 98 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 99 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 100 (all A (-v1_xboole_0(A) -> (all B (v4_waybel_3(B) & v1_waybel18(B) & m1_pboole(B,A) -> (all C (m1_subset_1(C,A) -> (all D (m1_subset_1(D,u1_struct_0(k3_waybel18(A,B))) -> k1_funct_1(k6_waybel18(A,B,C),D) = k5_waybel18(A,B,D,C))))))))) # label(t8_yellow17) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 101 -(all A (-v1_xboole_0(A) -> (all B (v4_waybel_3(B) & v1_waybel18(B) & m1_pboole(B,A) -> ((all C (m1_subset_1(C,A) -> v2_compts_1(k4_waybel18(A,B,C)))) -> v2_compts_1(k3_waybel18(A,B))))))) # label(t24_yellow17) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.43/1.06
% 0.43/1.06 ============================== end of process non-clausal formulas ===
% 0.43/1.06
% 0.43/1.06 ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/1.06
% 0.43/1.06 ============================== PREDICATE ELIMINATION =================
% 0.78/1.06 102 -m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(B))) | l1_pre_topc(g1_pre_topc(B,A)) # label(dt_g1_pre_topc) # label(axiom). [clausify(11)].
% 0.78/1.06 103 -l1_pre_topc(A) | -v1_pre_topc(A) | g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = A # label(abstractness_v1_pre_topc) # label(axiom). [clausify(1)].
% 0.78/1.06 104 -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -v1_pre_topc(C) | -v2_pre_topc(C) | -l1_pre_topc(C) | k3_waybel18(B,A) != C | k4_card_3(k12_pralg_1(B,A)) = u1_struct_0(C) # label(d3_waybel18) # label(axiom). [clausify(9)].
% 0.78/1.06 105 -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -v1_pre_topc(C) | -v2_pre_topc(C) | -l1_pre_topc(C) | k3_waybel18(B,A) != C | m2_cantor_1(k2_waybel18(B,A),C) # label(d3_waybel18) # label(axiom). [clausify(9)].
% 0.78/1.06 106 -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -v1_pre_topc(C) | -v2_pre_topc(C) | -l1_pre_topc(C) | k3_waybel18(B,A) = C | k4_card_3(k12_pralg_1(B,A)) != u1_struct_0(C) | -m2_cantor_1(k2_waybel18(B,A),C) # label(d3_waybel18) # label(axiom). [clausify(9)].
% 0.78/1.06 Derived: -m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(B))) | -v1_pre_topc(g1_pre_topc(B,A)) | g1_pre_topc(u1_struct_0(g1_pre_topc(B,A)),u1_pre_topc(g1_pre_topc(B,A))) = g1_pre_topc(B,A). [resolve(102,b,103,a)].
% 0.78/1.06 Derived: -m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(B))) | -v4_waybel_3(C) | -v1_waybel18(C) | -m1_pboole(C,D) | -v1_pre_topc(g1_pre_topc(B,A)) | -v2_pre_topc(g1_pre_topc(B,A)) | k3_waybel18(D,C) != g1_pre_topc(B,A) | k4_card_3(k12_pralg_1(D,C)) = u1_struct_0(g1_pre_topc(B,A)). [resolve(102,b,104,f)].
% 0.78/1.06 Derived: -m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(B))) | -v4_waybel_3(C) | -v1_waybel18(C) | -m1_pboole(C,D) | -v1_pre_topc(g1_pre_topc(B,A)) | -v2_pre_topc(g1_pre_topc(B,A)) | k3_waybel18(D,C) != g1_pre_topc(B,A) | m2_cantor_1(k2_waybel18(D,C),g1_pre_topc(B,A)). [resolve(102,b,105,f)].
% 0.78/1.06 Derived: -m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(B))) | -v4_waybel_3(C) | -v1_waybel18(C) | -m1_pboole(C,D) | -v1_pre_topc(g1_pre_topc(B,A)) | -v2_pre_topc(g1_pre_topc(B,A)) | k3_waybel18(D,C) = g1_pre_topc(B,A) | k4_card_3(k12_pralg_1(D,C)) != u1_struct_0(g1_pre_topc(B,A)) | -m2_cantor_1(k2_waybel18(D,C),g1_pre_topc(B,A)). [resolve(102,b,106,f)].
% 0.78/1.06 107 -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | l1_pre_topc(k3_waybel18(B,A)) # label(dt_k3_waybel18) # label(axiom). [clausify(24)].
% 0.78/1.06 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -v1_pre_topc(k3_waybel18(B,A)) | g1_pre_topc(u1_struct_0(k3_waybel18(B,A)),u1_pre_topc(k3_waybel18(B,A))) = k3_waybel18(B,A). [resolve(107,d,103,a)].
% 0.78/1.06 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -v4_waybel_3(C) | -v1_waybel18(C) | -m1_pboole(C,D) | -v1_pre_topc(k3_waybel18(B,A)) | -v2_pre_topc(k3_waybel18(B,A)) | k3_waybel18(D,C) != k3_waybel18(B,A) | k4_card_3(k12_pralg_1(D,C)) = u1_struct_0(k3_waybel18(B,A)). [resolve(107,d,104,f)].
% 0.78/1.06 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -v4_waybel_3(C) | -v1_waybel18(C) | -m1_pboole(C,D) | -v1_pre_topc(k3_waybel18(B,A)) | -v2_pre_topc(k3_waybel18(B,A)) | k3_waybel18(D,C) != k3_waybel18(B,A) | m2_cantor_1(k2_waybel18(D,C),k3_waybel18(B,A)). [resolve(107,d,105,f)].
% 0.78/1.06 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -v4_waybel_3(C) | -v1_waybel18(C) | -m1_pboole(C,D) | -v1_pre_topc(k3_waybel18(B,A)) | -v2_pre_topc(k3_waybel18(B,A)) | k3_waybel18(D,C) = k3_waybel18(B,A) | k4_card_3(k12_pralg_1(D,C)) != u1_struct_0(k3_waybel18(B,A)) | -m2_cantor_1(k2_waybel18(D,C),k3_waybel18(B,A)). [resolve(107,d,106,f)].
% 0.78/1.06 108 v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A) | l1_pre_topc(k4_waybel18(A,B,C)) # label(dt_k4_waybel18) # label(axiom). [clausify(26)].
% 0.78/1.06 Derived: v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A) | -v1_pre_topc(k4_waybel18(A,B,C)) | g1_pre_topc(u1_struct_0(k4_waybel18(A,B,C)),u1_pre_topc(k4_waybel18(A,B,C))) = k4_waybel18(A,B,C). [resolve(108,f,103,a)].
% 0.78/1.06 Derived: v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A) | -v4_waybel_3(D) | -v1_waybel18(D) | -m1_pboole(D,E) | -v1_pre_topc(k4_waybel18(A,B,C)) | -v2_pre_topc(k4_waybel18(A,B,C)) | k3_waybel18(E,D) != k4_waybel18(A,B,C) | k4_card_3(k12_pralg_1(E,D)) = u1_struct_0(k4_waybel18(A,B,C)). [resolve(108,f,104,f)].
% 0.78/1.06 Derived: v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A) | -v4_waybel_3(D) | -v1_waybel18(D) | -m1_pboole(D,E) | -v1_pre_topc(k4_waybel18(A,B,C)) | -v2_pre_topc(k4_waybel18(A,B,C)) | k3_waybel18(E,D) != k4_waybel18(A,B,C) | m2_cantor_1(k2_waybel18(E,D),k4_waybel18(A,B,C)). [resolve(108,f,105,f)].
% 0.78/1.06 Derived: v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A) | -v4_waybel_3(D) | -v1_waybel18(D) | -m1_pboole(D,E) | -v1_pre_topc(k4_waybel18(A,B,C)) | -v2_pre_topc(k4_waybel18(A,B,C)) | k3_waybel18(E,D) = k4_waybel18(A,B,C) | k4_card_3(k12_pralg_1(E,D)) != u1_struct_0(k4_waybel18(A,B,C)) | -m2_cantor_1(k2_waybel18(E,D),k4_waybel18(A,B,C)). [resolve(108,f,106,f)].
% 0.78/1.06 109 -l1_pre_topc(A) | l1_struct_0(A) # label(dt_l1_pre_topc) # label(axiom). [clausify(30)].
% 0.78/1.06 Derived: l1_struct_0(g1_pre_topc(A,B)) | -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))). [resolve(109,a,102,b)].
% 0.78/1.06 Derived: l1_struct_0(k3_waybel18(A,B)) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A). [resolve(109,a,107,d)].
% 0.78/1.06 Derived: l1_struct_0(k4_waybel18(A,B,C)) | v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A). [resolve(109,a,108,f)].
% 0.78/1.06 110 -l1_pre_topc(A) | -m2_cantor_1(B,A) | m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) # label(dt_m2_cantor_1) # label(axiom). [clausify(35)].
% 0.78/1.06 Derived: -m2_cantor_1(A,g1_pre_topc(B,C)) | m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(g1_pre_topc(B,C))))) | -m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(B))). [resolve(110,a,102,b)].
% 0.78/1.06 Derived: -m2_cantor_1(A,k3_waybel18(B,C)) | m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_waybel18(B,C))))) | -v4_waybel_3(C) | -v1_waybel18(C) | -m1_pboole(C,B). [resolve(110,a,107,d)].
% 0.78/1.06 Derived: -m2_cantor_1(A,k4_waybel18(B,C,D)) | m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_waybel18(B,C,D))))) | v1_xboole_0(B) | -v4_waybel_3(C) | -v1_waybel18(C) | -m1_pboole(C,B) | -m1_subset_1(D,B). [resolve(110,a,108,f)].
% 0.78/1.06 111 -l1_pre_topc(A) | m1_subset_1(u1_pre_topc(A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) # label(dt_u1_pre_topc) # label(axiom). [clausify(37)].
% 0.78/1.06 Derived: m1_subset_1(u1_pre_topc(g1_pre_topc(A,B)),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(g1_pre_topc(A,B))))) | -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))). [resolve(111,a,102,b)].
% 0.78/1.06 Derived: m1_subset_1(u1_pre_topc(k3_waybel18(A,B)),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k3_waybel18(A,B))))) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A). [resolve(111,a,107,d)].
% 0.78/1.06 Derived: m1_subset_1(u1_pre_topc(k4_waybel18(A,B,C)),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,C))))) | v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A). [resolve(111,a,108,f)].
% 0.78/1.06 112 l1_pre_topc(c1) # label(existence_l1_pre_topc) # label(axiom). [clausify(39)].
% 0.78/1.06 Derived: -v1_pre_topc(c1) | g1_pre_topc(u1_struct_0(c1),u1_pre_topc(c1)) = c1. [resolve(112,a,103,a)].
% 0.78/1.06 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -v1_pre_topc(c1) | -v2_pre_topc(c1) | k3_waybel18(B,A) != c1 | k4_card_3(k12_pralg_1(B,A)) = u1_struct_0(c1). [resolve(112,a,104,f)].
% 0.78/1.06 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -v1_pre_topc(c1) | -v2_pre_topc(c1) | k3_waybel18(B,A) != c1 | m2_cantor_1(k2_waybel18(B,A),c1). [resolve(112,a,105,f)].
% 0.78/1.06 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -v1_pre_topc(c1) | -v2_pre_topc(c1) | k3_waybel18(B,A) = c1 | k4_card_3(k12_pralg_1(B,A)) != u1_struct_0(c1) | -m2_cantor_1(k2_waybel18(B,A),c1). [resolve(112,a,106,f)].
% 0.78/1.06 Derived: l1_struct_0(c1). [resolve(112,a,109,a)].
% 0.78/1.06 Derived: -m2_cantor_1(A,c1) | m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(c1)))). [resolve(112,a,110,a)].
% 0.78/1.06 Derived: m1_subset_1(u1_pre_topc(c1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(c1)))). [resolve(112,a,111,a)].
% 0.78/1.06 113 -l1_pre_topc(A) | m2_cantor_1(f8(A),A) # label(existence_m2_cantor_1) # label(axiom). [clausify(44)].
% 0.78/1.06 Derived: m2_cantor_1(f8(g1_pre_topc(A,B)),g1_pre_topc(A,B)) | -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))). [resolve(113,a,102,b)].
% 0.78/1.06 Derived: m2_cantor_1(f8(k3_waybel18(A,B)),k3_waybel18(A,B)) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A). [resolve(113,a,107,d)].
% 0.78/1.06 Derived: m2_cantor_1(f8(k4_waybel18(A,B,C)),k4_waybel18(A,B,C)) | v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A). [resolve(113,a,108,f)].
% 0.78/1.06 Derived: m2_cantor_1(f8(c1),c1). [resolve(113,a,112,a)].
% 0.78/1.06 114 v3_struct_0(A) | -v2_pre_topc(A) | -l1_pre_topc(A) | -v1_xboole_0(u1_pre_topc(A)) # label(fc2_cantor_1) # label(axiom). [clausify(51)].
% 0.78/1.06 Derived: v3_struct_0(g1_pre_topc(A,B)) | -v2_pre_topc(g1_pre_topc(A,B)) | -v1_xboole_0(u1_pre_topc(g1_pre_topc(A,B))) | -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))). [resolve(114,c,102,b)].
% 0.78/1.06 Derived: v3_struct_0(k3_waybel18(A,B)) | -v2_pre_topc(k3_waybel18(A,B)) | -v1_xboole_0(u1_pre_topc(k3_waybel18(A,B))) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A). [resolve(114,c,107,d)].
% 0.78/1.06 Derived: v3_struct_0(k4_waybel18(A,B,C)) | -v2_pre_topc(k4_waybel18(A,B,C)) | -v1_xboole_0(u1_pre_topc(k4_waybel18(A,B,C))) | v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A). [resolve(114,c,108,f)].
% 0.78/1.06 Derived: v3_struct_0(c1) | -v2_pre_topc(c1) | -v1_xboole_0(u1_pre_topc(c1)). [resolve(114,c,112,a)].
% 0.78/1.06 115 -v2_pre_topc(A) | -l1_pre_topc(A) | v4_pre_topc(k2_pre_topc(A),A) # label(fc5_pre_topc) # label(axiom). [clausify(58)].
% 0.78/1.06 Derived: -v2_pre_topc(g1_pre_topc(A,B)) | v4_pre_topc(k2_pre_topc(g1_pre_topc(A,B)),g1_pre_topc(A,B)) | -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))). [resolve(115,b,102,b)].
% 0.78/1.06 Derived: -v2_pre_topc(k3_waybel18(A,B)) | v4_pre_topc(k2_pre_topc(k3_waybel18(A,B)),k3_waybel18(A,B)) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A). [resolve(115,b,107,d)].
% 0.78/1.06 Derived: -v2_pre_topc(k4_waybel18(A,B,C)) | v4_pre_topc(k2_pre_topc(k4_waybel18(A,B,C)),k4_waybel18(A,B,C)) | v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A). [resolve(115,b,108,f)].
% 0.78/1.06 Derived: -v2_pre_topc(c1) | v4_pre_topc(k2_pre_topc(c1),c1). [resolve(115,b,112,a)].
% 0.78/1.06 116 l1_pre_topc(c5) # label(rc1_pre_topc) # label(axiom). [clausify(63)].
% 0.78/1.06 Derived: -v1_pre_topc(c5) | g1_pre_topc(u1_struct_0(c5),u1_pre_topc(c5)) = c5. [resolve(116,a,103,a)].
% 0.78/1.06 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -v1_pre_topc(c5) | -v2_pre_topc(c5) | k3_waybel18(B,A) != c5 | k4_card_3(k12_pralg_1(B,A)) = u1_struct_0(c5). [resolve(116,a,104,f)].
% 0.78/1.06 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -v1_pre_topc(c5) | -v2_pre_topc(c5) | k3_waybel18(B,A) != c5 | m2_cantor_1(k2_waybel18(B,A),c5). [resolve(116,a,105,f)].
% 0.78/1.06 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -v1_pre_topc(c5) | -v2_pre_topc(c5) | k3_waybel18(B,A) = c5 | k4_card_3(k12_pralg_1(B,A)) != u1_struct_0(c5) | -m2_cantor_1(k2_waybel18(B,A),c5). [resolve(116,a,106,f)].
% 0.78/1.06 Derived: l1_struct_0(c5). [resolve(116,a,109,a)].
% 0.78/1.06 Derived: -m2_cantor_1(A,c5) | m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(c5)))). [resolve(116,a,110,a)].
% 0.78/1.06 Derived: m1_subset_1(u1_pre_topc(c5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(c5)))). [resolve(116,a,111,a)].
% 0.78/1.06 Derived: m2_cantor_1(f8(c5),c5). [resolve(116,a,113,a)].
% 0.78/1.06 Derived: v3_struct_0(c5) | -v2_pre_topc(c5) | -v1_xboole_0(u1_pre_topc(c5)). [resolve(116,a,114,c)].
% 0.78/1.06 Derived: -v2_pre_topc(c5) | v4_pre_topc(k2_pre_topc(c5),c5). [resolve(116,a,115,b)].
% 0.78/1.06 117 l1_pre_topc(c7) # label(rc2_pre_topc) # label(axiom). [clausify(67)].
% 0.78/1.06 Derived: -v1_pre_topc(c7) | g1_pre_topc(u1_struct_0(c7),u1_pre_topc(c7)) = c7. [resolve(117,a,103,a)].
% 0.78/1.06 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -v1_pre_topc(c7) | -v2_pre_topc(c7) | k3_waybel18(B,A) != c7 | k4_card_3(k12_pralg_1(B,A)) = u1_struct_0(c7). [resolve(117,a,104,f)].
% 0.78/1.06 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -v1_pre_topc(c7) | -v2_pre_topc(c7) | k3_waybel18(B,A) != c7 | m2_cantor_1(k2_waybel18(B,A),c7). [resolve(117,a,105,f)].
% 0.78/1.06 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -v1_pre_topc(c7) | -v2_pre_topc(c7) | k3_waybel18(B,A) = c7 | k4_card_3(k12_pralg_1(B,A)) != u1_struct_0(c7) | -m2_cantor_1(k2_waybel18(B,A),c7). [resolve(117,a,106,f)].
% 0.78/1.07 Derived: l1_struct_0(c7). [resolve(117,a,109,a)].
% 0.78/1.07 Derived: -m2_cantor_1(A,c7) | m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(c7)))). [resolve(117,a,110,a)].
% 0.78/1.07 Derived: m1_subset_1(u1_pre_topc(c7),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(c7)))). [resolve(117,a,111,a)].
% 0.78/1.07 Derived: m2_cantor_1(f8(c7),c7). [resolve(117,a,113,a)].
% 0.78/1.07 Derived: v3_struct_0(c7) | -v2_pre_topc(c7) | -v1_xboole_0(u1_pre_topc(c7)). [resolve(117,a,114,c)].
% 0.78/1.07 Derived: -v2_pre_topc(c7) | v4_pre_topc(k2_pre_topc(c7),c7). [resolve(117,a,115,b)].
% 0.78/1.07 118 -v2_pre_topc(A) | -l1_pre_topc(A) | m1_subset_1(f18(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc6_pre_topc) # label(axiom). [clausify(76)].
% 0.78/1.07 Derived: -v2_pre_topc(g1_pre_topc(A,B)) | m1_subset_1(f18(g1_pre_topc(A,B)),k1_zfmisc_1(u1_struct_0(g1_pre_topc(A,B)))) | -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))). [resolve(118,b,102,b)].
% 0.78/1.07 Derived: -v2_pre_topc(k3_waybel18(A,B)) | m1_subset_1(f18(k3_waybel18(A,B)),k1_zfmisc_1(u1_struct_0(k3_waybel18(A,B)))) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A). [resolve(118,b,107,d)].
% 0.78/1.07 Derived: -v2_pre_topc(k4_waybel18(A,B,C)) | m1_subset_1(f18(k4_waybel18(A,B,C)),k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,C)))) | v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A). [resolve(118,b,108,f)].
% 0.78/1.07 Derived: -v2_pre_topc(c1) | m1_subset_1(f18(c1),k1_zfmisc_1(u1_struct_0(c1))). [resolve(118,b,112,a)].
% 0.78/1.07 Derived: -v2_pre_topc(c5) | m1_subset_1(f18(c5),k1_zfmisc_1(u1_struct_0(c5))). [resolve(118,b,116,a)].
% 0.78/1.07 Derived: -v2_pre_topc(c7) | m1_subset_1(f18(c7),k1_zfmisc_1(u1_struct_0(c7))). [resolve(118,b,117,a)].
% 0.78/1.07 119 -v2_pre_topc(A) | -l1_pre_topc(A) | v4_pre_topc(f18(A),A) # label(rc6_pre_topc) # label(axiom). [clausify(76)].
% 0.78/1.07 Derived: -v2_pre_topc(g1_pre_topc(A,B)) | v4_pre_topc(f18(g1_pre_topc(A,B)),g1_pre_topc(A,B)) | -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))). [resolve(119,b,102,b)].
% 0.78/1.07 Derived: -v2_pre_topc(k3_waybel18(A,B)) | v4_pre_topc(f18(k3_waybel18(A,B)),k3_waybel18(A,B)) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A). [resolve(119,b,107,d)].
% 0.78/1.07 Derived: -v2_pre_topc(k4_waybel18(A,B,C)) | v4_pre_topc(f18(k4_waybel18(A,B,C)),k4_waybel18(A,B,C)) | v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A). [resolve(119,b,108,f)].
% 0.78/1.07 Derived: -v2_pre_topc(c1) | v4_pre_topc(f18(c1),c1). [resolve(119,b,112,a)].
% 0.78/1.07 Derived: -v2_pre_topc(c5) | v4_pre_topc(f18(c5),c5). [resolve(119,b,116,a)].
% 0.78/1.07 Derived: -v2_pre_topc(c7) | v4_pre_topc(f18(c7),c7). [resolve(119,b,117,a)].
% 0.78/1.07 120 v3_struct_0(A) | -v2_pre_topc(A) | -l1_pre_topc(A) | m1_subset_1(f19(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc7_pre_topc) # label(axiom). [clausify(77)].
% 0.78/1.07 Derived: v3_struct_0(g1_pre_topc(A,B)) | -v2_pre_topc(g1_pre_topc(A,B)) | m1_subset_1(f19(g1_pre_topc(A,B)),k1_zfmisc_1(u1_struct_0(g1_pre_topc(A,B)))) | -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))). [resolve(120,c,102,b)].
% 0.78/1.07 Derived: v3_struct_0(k3_waybel18(A,B)) | -v2_pre_topc(k3_waybel18(A,B)) | m1_subset_1(f19(k3_waybel18(A,B)),k1_zfmisc_1(u1_struct_0(k3_waybel18(A,B)))) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A). [resolve(120,c,107,d)].
% 0.78/1.07 Derived: v3_struct_0(k4_waybel18(A,B,C)) | -v2_pre_topc(k4_waybel18(A,B,C)) | m1_subset_1(f19(k4_waybel18(A,B,C)),k1_zfmisc_1(u1_struct_0(k4_waybel18(A,B,C)))) | v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A). [resolve(120,c,108,f)].
% 0.78/1.07 Derived: v3_struct_0(c1) | -v2_pre_topc(c1) | m1_subset_1(f19(c1),k1_zfmisc_1(u1_struct_0(c1))). [resolve(120,c,112,a)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v2_pre_topc(c5) | m1_subset_1(f19(c5),k1_zfmisc_1(u1_struct_0(c5))). [resolve(120,c,116,a)].
% 0.78/1.07 Derived: v3_struct_0(c7) | -v2_pre_topc(c7) | m1_subset_1(f19(c7),k1_zfmisc_1(u1_struct_0(c7))). [resolve(120,c,117,a)].
% 0.78/1.07 121 v3_struct_0(A) | -v2_pre_topc(A) | -l1_pre_topc(A) | -v1_xboole_0(f19(A)) # label(rc7_pre_topc) # label(axiom). [clausify(77)].
% 0.78/1.07 Derived: v3_struct_0(g1_pre_topc(A,B)) | -v2_pre_topc(g1_pre_topc(A,B)) | -v1_xboole_0(f19(g1_pre_topc(A,B))) | -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))). [resolve(121,c,102,b)].
% 0.78/1.07 Derived: v3_struct_0(k3_waybel18(A,B)) | -v2_pre_topc(k3_waybel18(A,B)) | -v1_xboole_0(f19(k3_waybel18(A,B))) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A). [resolve(121,c,107,d)].
% 0.78/1.07 Derived: v3_struct_0(k4_waybel18(A,B,C)) | -v2_pre_topc(k4_waybel18(A,B,C)) | -v1_xboole_0(f19(k4_waybel18(A,B,C))) | v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A). [resolve(121,c,108,f)].
% 0.78/1.07 Derived: v3_struct_0(c1) | -v2_pre_topc(c1) | -v1_xboole_0(f19(c1)). [resolve(121,c,112,a)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v2_pre_topc(c5) | -v1_xboole_0(f19(c5)). [resolve(121,c,116,a)].
% 0.78/1.07 Derived: v3_struct_0(c7) | -v2_pre_topc(c7) | -v1_xboole_0(f19(c7)). [resolve(121,c,117,a)].
% 0.78/1.07 122 v3_struct_0(A) | -v2_pre_topc(A) | -l1_pre_topc(A) | v4_pre_topc(f19(A),A) # label(rc7_pre_topc) # label(axiom). [clausify(77)].
% 0.78/1.07 Derived: v3_struct_0(g1_pre_topc(A,B)) | -v2_pre_topc(g1_pre_topc(A,B)) | v4_pre_topc(f19(g1_pre_topc(A,B)),g1_pre_topc(A,B)) | -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))). [resolve(122,c,102,b)].
% 0.78/1.07 Derived: v3_struct_0(k3_waybel18(A,B)) | -v2_pre_topc(k3_waybel18(A,B)) | v4_pre_topc(f19(k3_waybel18(A,B)),k3_waybel18(A,B)) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A). [resolve(122,c,107,d)].
% 0.78/1.07 Derived: v3_struct_0(k4_waybel18(A,B,C)) | -v2_pre_topc(k4_waybel18(A,B,C)) | v4_pre_topc(f19(k4_waybel18(A,B,C)),k4_waybel18(A,B,C)) | v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A). [resolve(122,c,108,f)].
% 0.78/1.07 Derived: v3_struct_0(c1) | -v2_pre_topc(c1) | v4_pre_topc(f19(c1),c1). [resolve(122,c,112,a)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v2_pre_topc(c5) | v4_pre_topc(f19(c5),c5). [resolve(122,c,116,a)].
% 0.78/1.07 Derived: v3_struct_0(c7) | -v2_pre_topc(c7) | v4_pre_topc(f19(c7),c7). [resolve(122,c,117,a)].
% 0.78/1.07 123 v3_struct_0(A) | -v2_pre_topc(A) | -l1_pre_topc(A) | -m2_cantor_1(B,A) | -v2_compts_1(A) | -m1_subset_1(C,k1_zfmisc_1(B)) | -r1_tarski(k2_pre_topc(A),k3_tarski(C)) | v1_finset_1(f23(A,B,C)) # label(t16_yellow17) # label(axiom). [clausify(86)].
% 0.78/1.07 Derived: v3_struct_0(g1_pre_topc(A,B)) | -v2_pre_topc(g1_pre_topc(A,B)) | -m2_cantor_1(C,g1_pre_topc(A,B)) | -v2_compts_1(g1_pre_topc(A,B)) | -m1_subset_1(D,k1_zfmisc_1(C)) | -r1_tarski(k2_pre_topc(g1_pre_topc(A,B)),k3_tarski(D)) | v1_finset_1(f23(g1_pre_topc(A,B),C,D)) | -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))). [resolve(123,c,102,b)].
% 0.78/1.07 Derived: v3_struct_0(k3_waybel18(A,B)) | -v2_pre_topc(k3_waybel18(A,B)) | -m2_cantor_1(C,k3_waybel18(A,B)) | -v2_compts_1(k3_waybel18(A,B)) | -m1_subset_1(D,k1_zfmisc_1(C)) | -r1_tarski(k2_pre_topc(k3_waybel18(A,B)),k3_tarski(D)) | v1_finset_1(f23(k3_waybel18(A,B),C,D)) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A). [resolve(123,c,107,d)].
% 0.78/1.07 Derived: v3_struct_0(k4_waybel18(A,B,C)) | -v2_pre_topc(k4_waybel18(A,B,C)) | -m2_cantor_1(D,k4_waybel18(A,B,C)) | -v2_compts_1(k4_waybel18(A,B,C)) | -m1_subset_1(E,k1_zfmisc_1(D)) | -r1_tarski(k2_pre_topc(k4_waybel18(A,B,C)),k3_tarski(E)) | v1_finset_1(f23(k4_waybel18(A,B,C),D,E)) | v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A). [resolve(123,c,108,f)].
% 0.78/1.07 Derived: v3_struct_0(c1) | -v2_pre_topc(c1) | -m2_cantor_1(A,c1) | -v2_compts_1(c1) | -m1_subset_1(B,k1_zfmisc_1(A)) | -r1_tarski(k2_pre_topc(c1),k3_tarski(B)) | v1_finset_1(f23(c1,A,B)). [resolve(123,c,112,a)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v2_pre_topc(c5) | -m2_cantor_1(A,c5) | -v2_compts_1(c5) | -m1_subset_1(B,k1_zfmisc_1(A)) | -r1_tarski(k2_pre_topc(c5),k3_tarski(B)) | v1_finset_1(f23(c5,A,B)). [resolve(123,c,116,a)].
% 0.78/1.07 Derived: v3_struct_0(c7) | -v2_pre_topc(c7) | -m2_cantor_1(A,c7) | -v2_compts_1(c7) | -m1_subset_1(B,k1_zfmisc_1(A)) | -r1_tarski(k2_pre_topc(c7),k3_tarski(B)) | v1_finset_1(f23(c7,A,B)). [resolve(123,c,117,a)].
% 0.78/1.07 124 v3_struct_0(A) | -v2_pre_topc(A) | -l1_pre_topc(A) | -m2_cantor_1(B,A) | -v2_compts_1(A) | -m1_subset_1(C,k1_zfmisc_1(B)) | -r1_tarski(k2_pre_topc(A),k3_tarski(C)) | m1_subset_1(f23(A,B,C),k1_zfmisc_1(C)) # label(t16_yellow17) # label(axiom). [clausify(86)].
% 0.78/1.07 Derived: v3_struct_0(g1_pre_topc(A,B)) | -v2_pre_topc(g1_pre_topc(A,B)) | -m2_cantor_1(C,g1_pre_topc(A,B)) | -v2_compts_1(g1_pre_topc(A,B)) | -m1_subset_1(D,k1_zfmisc_1(C)) | -r1_tarski(k2_pre_topc(g1_pre_topc(A,B)),k3_tarski(D)) | m1_subset_1(f23(g1_pre_topc(A,B),C,D),k1_zfmisc_1(D)) | -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))). [resolve(124,c,102,b)].
% 0.78/1.07 Derived: v3_struct_0(k3_waybel18(A,B)) | -v2_pre_topc(k3_waybel18(A,B)) | -m2_cantor_1(C,k3_waybel18(A,B)) | -v2_compts_1(k3_waybel18(A,B)) | -m1_subset_1(D,k1_zfmisc_1(C)) | -r1_tarski(k2_pre_topc(k3_waybel18(A,B)),k3_tarski(D)) | m1_subset_1(f23(k3_waybel18(A,B),C,D),k1_zfmisc_1(D)) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A). [resolve(124,c,107,d)].
% 0.78/1.07 Derived: v3_struct_0(k4_waybel18(A,B,C)) | -v2_pre_topc(k4_waybel18(A,B,C)) | -m2_cantor_1(D,k4_waybel18(A,B,C)) | -v2_compts_1(k4_waybel18(A,B,C)) | -m1_subset_1(E,k1_zfmisc_1(D)) | -r1_tarski(k2_pre_topc(k4_waybel18(A,B,C)),k3_tarski(E)) | m1_subset_1(f23(k4_waybel18(A,B,C),D,E),k1_zfmisc_1(E)) | v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A). [resolve(124,c,108,f)].
% 0.78/1.07 Derived: v3_struct_0(c1) | -v2_pre_topc(c1) | -m2_cantor_1(A,c1) | -v2_compts_1(c1) | -m1_subset_1(B,k1_zfmisc_1(A)) | -r1_tarski(k2_pre_topc(c1),k3_tarski(B)) | m1_subset_1(f23(c1,A,B),k1_zfmisc_1(B)). [resolve(124,c,112,a)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v2_pre_topc(c5) | -m2_cantor_1(A,c5) | -v2_compts_1(c5) | -m1_subset_1(B,k1_zfmisc_1(A)) | -r1_tarski(k2_pre_topc(c5),k3_tarski(B)) | m1_subset_1(f23(c5,A,B),k1_zfmisc_1(B)). [resolve(124,c,116,a)].
% 0.78/1.07 Derived: v3_struct_0(c7) | -v2_pre_topc(c7) | -m2_cantor_1(A,c7) | -v2_compts_1(c7) | -m1_subset_1(B,k1_zfmisc_1(A)) | -r1_tarski(k2_pre_topc(c7),k3_tarski(B)) | m1_subset_1(f23(c7,A,B),k1_zfmisc_1(B)). [resolve(124,c,117,a)].
% 0.78/1.07 125 v3_struct_0(A) | -v2_pre_topc(A) | -l1_pre_topc(A) | -m2_cantor_1(B,A) | -v2_compts_1(A) | -m1_subset_1(C,k1_zfmisc_1(B)) | -r1_tarski(k2_pre_topc(A),k3_tarski(C)) | r1_tarski(k2_pre_topc(A),k3_tarski(f23(A,B,C))) # label(t16_yellow17) # label(axiom). [clausify(86)].
% 0.78/1.07 Derived: v3_struct_0(g1_pre_topc(A,B)) | -v2_pre_topc(g1_pre_topc(A,B)) | -m2_cantor_1(C,g1_pre_topc(A,B)) | -v2_compts_1(g1_pre_topc(A,B)) | -m1_subset_1(D,k1_zfmisc_1(C)) | -r1_tarski(k2_pre_topc(g1_pre_topc(A,B)),k3_tarski(D)) | r1_tarski(k2_pre_topc(g1_pre_topc(A,B)),k3_tarski(f23(g1_pre_topc(A,B),C,D))) | -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))). [resolve(125,c,102,b)].
% 0.78/1.07 Derived: v3_struct_0(k3_waybel18(A,B)) | -v2_pre_topc(k3_waybel18(A,B)) | -m2_cantor_1(C,k3_waybel18(A,B)) | -v2_compts_1(k3_waybel18(A,B)) | -m1_subset_1(D,k1_zfmisc_1(C)) | -r1_tarski(k2_pre_topc(k3_waybel18(A,B)),k3_tarski(D)) | r1_tarski(k2_pre_topc(k3_waybel18(A,B)),k3_tarski(f23(k3_waybel18(A,B),C,D))) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A). [resolve(125,c,107,d)].
% 0.78/1.07 Derived: v3_struct_0(k4_waybel18(A,B,C)) | -v2_pre_topc(k4_waybel18(A,B,C)) | -m2_cantor_1(D,k4_waybel18(A,B,C)) | -v2_compts_1(k4_waybel18(A,B,C)) | -m1_subset_1(E,k1_zfmisc_1(D)) | -r1_tarski(k2_pre_topc(k4_waybel18(A,B,C)),k3_tarski(E)) | r1_tarski(k2_pre_topc(k4_waybel18(A,B,C)),k3_tarski(f23(k4_waybel18(A,B,C),D,E))) | v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A). [resolve(125,c,108,f)].
% 0.78/1.07 Derived: v3_struct_0(c1) | -v2_pre_topc(c1) | -m2_cantor_1(A,c1) | -v2_compts_1(c1) | -m1_subset_1(B,k1_zfmisc_1(A)) | -r1_tarski(k2_pre_topc(c1),k3_tarski(B)) | r1_tarski(k2_pre_topc(c1),k3_tarski(f23(c1,A,B))). [resolve(125,c,112,a)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v2_pre_topc(c5) | -m2_cantor_1(A,c5) | -v2_compts_1(c5) | -m1_subset_1(B,k1_zfmisc_1(A)) | -r1_tarski(k2_pre_topc(c5),k3_tarski(B)) | r1_tarski(k2_pre_topc(c5),k3_tarski(f23(c5,A,B))). [resolve(125,c,116,a)].
% 0.78/1.07 Derived: v3_struct_0(c7) | -v2_pre_topc(c7) | -m2_cantor_1(A,c7) | -v2_compts_1(c7) | -m1_subset_1(B,k1_zfmisc_1(A)) | -r1_tarski(k2_pre_topc(c7),k3_tarski(B)) | r1_tarski(k2_pre_topc(c7),k3_tarski(f23(c7,A,B))). [resolve(125,c,117,a)].
% 0.78/1.07 126 v3_struct_0(A) | -v2_pre_topc(A) | -l1_pre_topc(A) | -m2_cantor_1(B,A) | v2_compts_1(A) | m1_subset_1(f24(A,B),k1_zfmisc_1(B)) # label(t16_yellow17) # label(axiom). [clausify(86)].
% 0.78/1.07 Derived: v3_struct_0(g1_pre_topc(A,B)) | -v2_pre_topc(g1_pre_topc(A,B)) | -m2_cantor_1(C,g1_pre_topc(A,B)) | v2_compts_1(g1_pre_topc(A,B)) | m1_subset_1(f24(g1_pre_topc(A,B),C),k1_zfmisc_1(C)) | -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))). [resolve(126,c,102,b)].
% 0.78/1.07 Derived: v3_struct_0(k3_waybel18(A,B)) | -v2_pre_topc(k3_waybel18(A,B)) | -m2_cantor_1(C,k3_waybel18(A,B)) | v2_compts_1(k3_waybel18(A,B)) | m1_subset_1(f24(k3_waybel18(A,B),C),k1_zfmisc_1(C)) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A). [resolve(126,c,107,d)].
% 0.78/1.07 Derived: v3_struct_0(k4_waybel18(A,B,C)) | -v2_pre_topc(k4_waybel18(A,B,C)) | -m2_cantor_1(D,k4_waybel18(A,B,C)) | v2_compts_1(k4_waybel18(A,B,C)) | m1_subset_1(f24(k4_waybel18(A,B,C),D),k1_zfmisc_1(D)) | v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A). [resolve(126,c,108,f)].
% 0.78/1.07 Derived: v3_struct_0(c1) | -v2_pre_topc(c1) | -m2_cantor_1(A,c1) | v2_compts_1(c1) | m1_subset_1(f24(c1,A),k1_zfmisc_1(A)). [resolve(126,c,112,a)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v2_pre_topc(c5) | -m2_cantor_1(A,c5) | v2_compts_1(c5) | m1_subset_1(f24(c5,A),k1_zfmisc_1(A)). [resolve(126,c,116,a)].
% 0.78/1.07 Derived: v3_struct_0(c7) | -v2_pre_topc(c7) | -m2_cantor_1(A,c7) | v2_compts_1(c7) | m1_subset_1(f24(c7,A),k1_zfmisc_1(A)). [resolve(126,c,117,a)].
% 0.78/1.07 127 v3_struct_0(A) | -v2_pre_topc(A) | -l1_pre_topc(A) | -m2_cantor_1(B,A) | v2_compts_1(A) | r1_tarski(k2_pre_topc(A),k3_tarski(f24(A,B))) # label(t16_yellow17) # label(axiom). [clausify(86)].
% 0.78/1.07 Derived: v3_struct_0(g1_pre_topc(A,B)) | -v2_pre_topc(g1_pre_topc(A,B)) | -m2_cantor_1(C,g1_pre_topc(A,B)) | v2_compts_1(g1_pre_topc(A,B)) | r1_tarski(k2_pre_topc(g1_pre_topc(A,B)),k3_tarski(f24(g1_pre_topc(A,B),C))) | -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))). [resolve(127,c,102,b)].
% 0.78/1.07 Derived: v3_struct_0(k3_waybel18(A,B)) | -v2_pre_topc(k3_waybel18(A,B)) | -m2_cantor_1(C,k3_waybel18(A,B)) | v2_compts_1(k3_waybel18(A,B)) | r1_tarski(k2_pre_topc(k3_waybel18(A,B)),k3_tarski(f24(k3_waybel18(A,B),C))) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A). [resolve(127,c,107,d)].
% 0.78/1.07 Derived: v3_struct_0(k4_waybel18(A,B,C)) | -v2_pre_topc(k4_waybel18(A,B,C)) | -m2_cantor_1(D,k4_waybel18(A,B,C)) | v2_compts_1(k4_waybel18(A,B,C)) | r1_tarski(k2_pre_topc(k4_waybel18(A,B,C)),k3_tarski(f24(k4_waybel18(A,B,C),D))) | v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A). [resolve(127,c,108,f)].
% 0.78/1.07 Derived: v3_struct_0(c1) | -v2_pre_topc(c1) | -m2_cantor_1(A,c1) | v2_compts_1(c1) | r1_tarski(k2_pre_topc(c1),k3_tarski(f24(c1,A))). [resolve(127,c,112,a)].
% 0.78/1.07 Derived: v3_struct_0(c5) | -v2_pre_topc(c5) | -m2_cantor_1(A,c5) | v2_compts_1(c5) | r1_tarski(k2_pre_topc(c5),k3_tarski(f24(c5,A))). [resolve(127,c,116,a)].
% 0.78/1.07 Derived: v3_struct_0(c7) | -v2_pre_topc(c7) | -m2_cantor_1(A,c7) | v2_compts_1(c7) | r1_tarski(k2_pre_topc(c7),k3_tarski(f24(c7,A))). [resolve(127,c,117,a)].
% 0.78/1.07 128 v3_struct_0(A) | -v2_pre_topc(A) | -l1_pre_topc(A) | -m2_cantor_1(B,A) | v2_compts_1(A) | -v1_finset_1(C) | -m1_subset_1(C,k1_zfmisc_1(f24(A,B))) | -r1_tarski(k2_pre_topc(A),k3_tarski(C)) # label(t16_yellow17) # label(axiom). [clausify(86)].
% 0.78/1.07 Derived: v3_struct_0(g1_pre_topc(A,B)) | -v2_pre_topc(g1_pre_topc(A,B)) | -m2_cantor_1(C,g1_pre_topc(A,B)) | v2_compts_1(g1_pre_topc(A,B)) | -v1_finset_1(D) | -m1_subset_1(D,k1_zfmisc_1(f24(g1_pre_topc(A,B),C))) | -r1_tarski(k2_pre_topc(g1_pre_topc(A,B)),k3_tarski(D)) | -m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))). [resolve(128,c,102,b)].
% 0.78/1.07 Derived: v3_struct_0(k3_waybel18(A,B)) | -v2_pre_topc(k3_waybel18(A,B)) | -m2_cantor_1(C,k3_waybel18(A,B)) | v2_compts_1(k3_waybel18(A,B)) | -v1_finset_1(D) | -m1_subset_1(D,k1_zfmisc_1(f24(k3_waybel18(A,B),C))) | -r1_tarski(k2_pre_topc(k3_waybel18(A,B)),k3_tarski(D)) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A). [resolve(128,c,107,d)].
% 0.78/1.07 Derived: v3_struct_0(k4_waybel18(A,B,C)) | -v2_pre_topc(k4_waybel18(A,B,C)) | -m2_cantor_1(D,k4_waybel18(A,B,C)) | v2_compts_1(k4_waybel18(A,B,C)) | -v1_finset_1(E) | -m1_subset_1(E,k1_zfmisc_1(f24(k4_waybel18(A,B,C),D))) | -r1_tarski(k2_pre_topc(k4_waybel18(A,B,C)),k3_tarski(E)) | v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A). [resolve(128,c,108,f)].
% 0.83/1.10 Derived: v3_struct_0(c1) | -v2_pre_topc(c1) | -m2_cantor_1(A,c1) | v2_compts_1(c1) | -v1_finset_1(B) | -m1_subset_1(B,k1_zfmisc_1(f24(c1,A))) | -r1_tarski(k2_pre_topc(c1),k3_tarski(B)). [resolve(128,c,112,a)].
% 0.83/1.10 Derived: v3_struct_0(c5) | -v2_pre_topc(c5) | -m2_cantor_1(A,c5) | v2_compts_1(c5) | -v1_finset_1(B) | -m1_subset_1(B,k1_zfmisc_1(f24(c5,A))) | -r1_tarski(k2_pre_topc(c5),k3_tarski(B)). [resolve(128,c,116,a)].
% 0.83/1.10 Derived: v3_struct_0(c7) | -v2_pre_topc(c7) | -m2_cantor_1(A,c7) | v2_compts_1(c7) | -v1_finset_1(B) | -m1_subset_1(B,k1_zfmisc_1(f24(c7,A))) | -r1_tarski(k2_pre_topc(c7),k3_tarski(B)). [resolve(128,c,117,a)].
% 0.83/1.10 129 -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | v1_monoid_0(k3_waybel18(B,A)) # label(fc2_waybel18) # label(axiom). [clausify(54)].
% 0.83/1.10 130 -v1_monoid_0(A) | -l1_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | v1_relat_1(B) # label(cc1_monoid_0) # label(axiom). [clausify(4)].
% 0.83/1.10 131 -v1_monoid_0(A) | -l1_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | v1_funct_1(B) # label(cc1_monoid_0) # label(axiom). [clausify(4)].
% 0.83/1.10 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -l1_struct_0(k3_waybel18(B,A)) | -m1_subset_1(C,u1_struct_0(k3_waybel18(B,A))) | v1_relat_1(C). [resolve(129,d,130,a)].
% 0.83/1.10 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -l1_struct_0(k3_waybel18(B,A)) | -m1_subset_1(C,u1_struct_0(k3_waybel18(B,A))) | v1_funct_1(C). [resolve(129,d,131,a)].
% 0.83/1.10 132 v1_monoid_0(c4) # label(rc1_monoid_0) # label(axiom). [clausify(62)].
% 0.83/1.10 Derived: -l1_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | v1_relat_1(A). [resolve(132,a,130,a)].
% 0.83/1.10 Derived: -l1_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | v1_funct_1(A). [resolve(132,a,131,a)].
% 0.83/1.10 133 -v1_relat_1(A) | -v1_funct_1(A) | -v1_waybel18(A) | v2_pralg_1(A) # label(cc1_waybel18) # label(axiom). [clausify(6)].
% 0.83/1.10 134 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_relat_1(A) # label(cc1_relset_1) # label(axiom). [clausify(5)].
% 0.83/1.10 Derived: -v1_funct_1(A) | -v1_waybel18(A) | v2_pralg_1(A) | -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(133,a,134,b)].
% 0.83/1.10 135 -v1_relat_1(A) | -v1_funct_1(A) | k10_relat_1(A,B) != C | -r2_hidden(D,C) | r2_hidden(D,k1_relat_1(A)) # label(d13_funct_1) # label(axiom). [clausify(8)].
% 0.83/1.10 Derived: -v1_funct_1(A) | k10_relat_1(A,B) != C | -r2_hidden(D,C) | r2_hidden(D,k1_relat_1(A)) | -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(E,F))). [resolve(135,a,134,b)].
% 0.83/1.10 136 -v1_relat_1(A) | -v1_funct_1(A) | k10_relat_1(A,B) != C | -r2_hidden(D,C) | r2_hidden(k1_funct_1(A,D),B) # label(d13_funct_1) # label(axiom). [clausify(8)].
% 0.83/1.10 Derived: -v1_funct_1(A) | k10_relat_1(A,B) != C | -r2_hidden(D,C) | r2_hidden(k1_funct_1(A,D),B) | -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(E,F))). [resolve(136,a,134,b)].
% 0.83/1.10 137 -v1_relat_1(A) | -v1_funct_1(A) | k10_relat_1(A,B) != C | r2_hidden(D,C) | -r2_hidden(D,k1_relat_1(A)) | -r2_hidden(k1_funct_1(A,D),B) # label(d13_funct_1) # label(axiom). [clausify(8)].
% 0.83/1.10 Derived: -v1_funct_1(A) | k10_relat_1(A,B) != C | r2_hidden(D,C) | -r2_hidden(D,k1_relat_1(A)) | -r2_hidden(k1_funct_1(A,D),B) | -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(E,F))). [resolve(137,a,134,b)].
% 0.83/1.10 138 -v1_relat_1(A) | -v1_funct_1(A) | k10_relat_1(A,B) = C | r2_hidden(f1(A,B,C),C) | r2_hidden(f1(A,B,C),k1_relat_1(A)) # label(d13_funct_1) # label(axiom). [clausify(8)].
% 0.83/1.10 Derived: -v1_funct_1(A) | k10_relat_1(A,B) = C | r2_hidden(f1(A,B,C),C) | r2_hidden(f1(A,B,C),k1_relat_1(A)) | -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(D,E))). [resolve(138,a,134,b)].
% 0.83/1.10 139 -v1_relat_1(A) | -v1_funct_1(A) | k10_relat_1(A,B) = C | r2_hidden(f1(A,B,C),C) | r2_hidden(k1_funct_1(A,f1(A,B,C)),B) # label(d13_funct_1) # label(axiom). [clausify(8)].
% 0.83/1.10 Derived: -v1_funct_1(A) | k10_relat_1(A,B) = C | r2_hidden(f1(A,B,C),C) | r2_hidden(k1_funct_1(A,f1(A,B,C)),B) | -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(D,E))). [resolve(139,a,134,b)].
% 0.83/1.10 140 -v1_relat_1(A) | -v1_funct_1(A) | k10_relat_1(A,B) = C | -r2_hidden(f1(A,B,C),C) | -r2_hidden(f1(A,B,C),k1_relat_1(A)) | -r2_hidden(k1_funct_1(A,f1(A,B,C)),B) # label(d13_funct_1) # label(axiom). [clausify(8)].
% 0.83/1.10 Derived: -v1_funct_1(A) | k10_relat_1(A,B) = C | -r2_hidden(f1(A,B,C),C) | -r2_hidden(f1(A,B,C),k1_relat_1(A)) | -r2_hidden(k1_funct_1(A,f1(A,B,C)),B) | -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(D,E))). [resolve(140,a,134,b)].
% 0.83/1.10 141 -m1_pboole(A,B) | v1_relat_1(A) # label(dt_m1_pboole) # label(axiom). [clausify(32)].
% 0.83/1.10 Derived: -m1_pboole(A,B) | -v1_funct_1(A) | -v1_waybel18(A) | v2_pralg_1(A). [resolve(141,b,133,a)].
% 0.83/1.10 Derived: -m1_pboole(A,B) | -v1_funct_1(A) | k10_relat_1(A,C) != D | -r2_hidden(E,D) | r2_hidden(E,k1_relat_1(A)). [resolve(141,b,135,a)].
% 0.83/1.10 Derived: -m1_pboole(A,B) | -v1_funct_1(A) | k10_relat_1(A,C) != D | -r2_hidden(E,D) | r2_hidden(k1_funct_1(A,E),C). [resolve(141,b,136,a)].
% 0.83/1.10 Derived: -m1_pboole(A,B) | -v1_funct_1(A) | k10_relat_1(A,C) != D | r2_hidden(E,D) | -r2_hidden(E,k1_relat_1(A)) | -r2_hidden(k1_funct_1(A,E),C). [resolve(141,b,137,a)].
% 0.83/1.10 Derived: -m1_pboole(A,B) | -v1_funct_1(A) | k10_relat_1(A,C) = D | r2_hidden(f1(A,C,D),D) | r2_hidden(f1(A,C,D),k1_relat_1(A)). [resolve(141,b,138,a)].
% 0.83/1.10 Derived: -m1_pboole(A,B) | -v1_funct_1(A) | k10_relat_1(A,C) = D | r2_hidden(f1(A,C,D),D) | r2_hidden(k1_funct_1(A,f1(A,C,D)),C). [resolve(141,b,139,a)].
% 0.83/1.10 Derived: -m1_pboole(A,B) | -v1_funct_1(A) | k10_relat_1(A,C) = D | -r2_hidden(f1(A,C,D),D) | -r2_hidden(f1(A,C,D),k1_relat_1(A)) | -r2_hidden(k1_funct_1(A,f1(A,C,D)),C). [resolve(141,b,140,a)].
% 0.83/1.10 142 -v1_relat_1(A) | -v1_funct_1(A) | v1_fraenkel(k4_card_3(A)) # label(fc3_card_3) # label(axiom). [clausify(55)].
% 0.83/1.10 Derived: -v1_funct_1(A) | v1_fraenkel(k4_card_3(A)) | -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(142,a,134,b)].
% 0.83/1.10 Derived: -v1_funct_1(A) | v1_fraenkel(k4_card_3(A)) | -m1_pboole(A,B). [resolve(142,a,141,b)].
% 0.83/1.10 143 -v1_relat_1(A) | -v2_relat_1(A) | -v1_funct_1(A) | -v1_xboole_0(k4_card_3(A)) # label(fc5_card_3) # label(axiom). [clausify(57)].
% 0.83/1.10 Derived: -v2_relat_1(A) | -v1_funct_1(A) | -v1_xboole_0(k4_card_3(A)) | -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(143,a,134,b)].
% 0.83/1.10 Derived: -v2_relat_1(A) | -v1_funct_1(A) | -v1_xboole_0(k4_card_3(A)) | -m1_pboole(A,B). [resolve(143,a,141,b)].
% 0.83/1.10 144 -v1_relat_1(A) | -v2_relat_1(A) | -v1_funct_1(A) | v1_fraenkel(k4_card_3(A)) # label(fc5_card_3) # label(axiom). [clausify(57)].
% 0.83/1.10 145 -v2_pralg_1(A) | -v4_waybel_3(A) | -m1_pboole(A,B) | v1_relat_1(k12_pralg_1(B,A)) # label(fc5_yellow_6) # label(axiom). [clausify(59)].
% 0.83/1.10 Derived: -v2_pralg_1(A) | -v4_waybel_3(A) | -m1_pboole(A,B) | -v1_funct_1(k12_pralg_1(B,A)) | -v1_waybel18(k12_pralg_1(B,A)) | v2_pralg_1(k12_pralg_1(B,A)). [resolve(145,d,133,a)].
% 0.83/1.10 Derived: -v2_pralg_1(A) | -v4_waybel_3(A) | -m1_pboole(A,B) | -v1_funct_1(k12_pralg_1(B,A)) | k10_relat_1(k12_pralg_1(B,A),C) != D | -r2_hidden(E,D) | r2_hidden(E,k1_relat_1(k12_pralg_1(B,A))). [resolve(145,d,135,a)].
% 0.83/1.10 Derived: -v2_pralg_1(A) | -v4_waybel_3(A) | -m1_pboole(A,B) | -v1_funct_1(k12_pralg_1(B,A)) | k10_relat_1(k12_pralg_1(B,A),C) != D | -r2_hidden(E,D) | r2_hidden(k1_funct_1(k12_pralg_1(B,A),E),C). [resolve(145,d,136,a)].
% 0.83/1.10 Derived: -v2_pralg_1(A) | -v4_waybel_3(A) | -m1_pboole(A,B) | -v1_funct_1(k12_pralg_1(B,A)) | k10_relat_1(k12_pralg_1(B,A),C) != D | r2_hidden(E,D) | -r2_hidden(E,k1_relat_1(k12_pralg_1(B,A))) | -r2_hidden(k1_funct_1(k12_pralg_1(B,A),E),C). [resolve(145,d,137,a)].
% 0.83/1.10 Derived: -v2_pralg_1(A) | -v4_waybel_3(A) | -m1_pboole(A,B) | -v1_funct_1(k12_pralg_1(B,A)) | k10_relat_1(k12_pralg_1(B,A),C) = D | r2_hidden(f1(k12_pralg_1(B,A),C,D),D) | r2_hidden(f1(k12_pralg_1(B,A),C,D),k1_relat_1(k12_pralg_1(B,A))). [resolve(145,d,138,a)].
% 0.83/1.10 Derived: -v2_pralg_1(A) | -v4_waybel_3(A) | -m1_pboole(A,B) | -v1_funct_1(k12_pralg_1(B,A)) | k10_relat_1(k12_pralg_1(B,A),C) = D | r2_hidden(f1(k12_pralg_1(B,A),C,D),D) | r2_hidden(k1_funct_1(k12_pralg_1(B,A),f1(k12_pralg_1(B,A),C,D)),C). [resolve(145,d,139,a)].
% 0.83/1.10 Derived: -v2_pralg_1(A) | -v4_waybel_3(A) | -m1_pboole(A,B) | -v1_funct_1(k12_pralg_1(B,A)) | k10_relat_1(k12_pralg_1(B,A),C) = D | -r2_hidden(f1(k12_pralg_1(B,A),C,D),D) | -r2_hidden(f1(k12_pralg_1(B,A),C,D),k1_relat_1(k12_pralg_1(B,A))) | -r2_hidden(k1_funct_1(k12_pralg_1(B,A),f1(k12_pralg_1(B,A),C,D)),C). [resolve(145,d,140,a)].
% 0.83/1.10 Derived: -v2_pralg_1(A) | -v4_waybel_3(A) | -m1_pboole(A,B) | -v1_funct_1(k12_pralg_1(B,A)) | v1_fraenkel(k4_card_3(k12_pralg_1(B,A))). [resolve(145,d,142,a)].
% 0.83/1.10 Derived: -v2_pralg_1(A) | -v4_waybel_3(A) | -m1_pboole(A,B) | -v2_relat_1(k12_pralg_1(B,A)) | -v1_funct_1(k12_pralg_1(B,A)) | -v1_xboole_0(k4_card_3(k12_pralg_1(B,A))). [resolve(145,d,143,a)].
% 0.83/1.10 146 v1_relat_1(f11(A)) # label(rc1_waybel18) # label(axiom). [clausify(65)].
% 0.83/1.10 Derived: -v1_funct_1(f11(A)) | k10_relat_1(f11(A),B) != C | -r2_hidden(D,C) | r2_hidden(D,k1_relat_1(f11(A))). [resolve(146,a,135,a)].
% 0.83/1.10 Derived: -v1_funct_1(f11(A)) | k10_relat_1(f11(A),B) != C | -r2_hidden(D,C) | r2_hidden(k1_funct_1(f11(A),D),B). [resolve(146,a,136,a)].
% 0.83/1.10 Derived: -v1_funct_1(f11(A)) | k10_relat_1(f11(A),B) != C | r2_hidden(D,C) | -r2_hidden(D,k1_relat_1(f11(A))) | -r2_hidden(k1_funct_1(f11(A),D),B). [resolve(146,a,137,a)].
% 0.83/1.10 Derived: -v1_funct_1(f11(A)) | k10_relat_1(f11(A),B) = C | r2_hidden(f1(f11(A),B,C),C) | r2_hidden(f1(f11(A),B,C),k1_relat_1(f11(A))). [resolve(146,a,138,a)].
% 0.83/1.10 Derived: -v1_funct_1(f11(A)) | k10_relat_1(f11(A),B) = C | r2_hidden(f1(f11(A),B,C),C) | r2_hidden(k1_funct_1(f11(A),f1(f11(A),B,C)),B). [resolve(146,a,139,a)].
% 0.83/1.10 Derived: -v1_funct_1(f11(A)) | k10_relat_1(f11(A),B) = C | -r2_hidden(f1(f11(A),B,C),C) | -r2_hidden(f1(f11(A),B,C),k1_relat_1(f11(A))) | -r2_hidden(k1_funct_1(f11(A),f1(f11(A),B,C)),B). [resolve(146,a,140,a)].
% 0.83/1.10 Derived: -v1_funct_1(f11(A)) | v1_fraenkel(k4_card_3(f11(A))). [resolve(146,a,142,a)].
% 0.83/1.10 Derived: -v2_relat_1(f11(A)) | -v1_funct_1(f11(A)) | -v1_xboole_0(k4_card_3(f11(A))). [resolve(146,a,143,a)].
% 0.83/1.10 147 v1_relat_1(f13(A)) # label(rc2_waybel18) # label(axiom). [clausify(69)].
% 0.83/1.10 Derived: -v1_funct_1(f13(A)) | k10_relat_1(f13(A),B) != C | -r2_hidden(D,C) | r2_hidden(D,k1_relat_1(f13(A))). [resolve(147,a,135,a)].
% 0.83/1.10 Derived: -v1_funct_1(f13(A)) | k10_relat_1(f13(A),B) != C | -r2_hidden(D,C) | r2_hidden(k1_funct_1(f13(A),D),B). [resolve(147,a,136,a)].
% 0.83/1.10 Derived: -v1_funct_1(f13(A)) | k10_relat_1(f13(A),B) != C | r2_hidden(D,C) | -r2_hidden(D,k1_relat_1(f13(A))) | -r2_hidden(k1_funct_1(f13(A),D),B). [resolve(147,a,137,a)].
% 0.83/1.10 Derived: -v1_funct_1(f13(A)) | k10_relat_1(f13(A),B) = C | r2_hidden(f1(f13(A),B,C),C) | r2_hidden(f1(f13(A),B,C),k1_relat_1(f13(A))). [resolve(147,a,138,a)].
% 0.83/1.10 Derived: -v1_funct_1(f13(A)) | k10_relat_1(f13(A),B) = C | r2_hidden(f1(f13(A),B,C),C) | r2_hidden(k1_funct_1(f13(A),f1(f13(A),B,C)),B). [resolve(147,a,139,a)].
% 0.83/1.10 Derived: -v1_funct_1(f13(A)) | k10_relat_1(f13(A),B) = C | -r2_hidden(f1(f13(A),B,C),C) | -r2_hidden(f1(f13(A),B,C),k1_relat_1(f13(A))) | -r2_hidden(k1_funct_1(f13(A),f1(f13(A),B,C)),B). [resolve(147,a,140,a)].
% 0.83/1.10 Derived: -v1_funct_1(f13(A)) | v1_fraenkel(k4_card_3(f13(A))). [resolve(147,a,142,a)].
% 0.83/1.10 Derived: -v2_relat_1(f13(A)) | -v1_funct_1(f13(A)) | -v1_xboole_0(k4_card_3(f13(A))). [resolve(147,a,143,a)].
% 0.83/1.10 148 v1_relat_1(f15(A)) # label(rc3_yellow_6) # label(axiom). [clausify(73)].
% 0.83/1.10 Derived: -v1_funct_1(f15(A)) | k10_relat_1(f15(A),B) != C | -r2_hidden(D,C) | r2_hidden(D,k1_relat_1(f15(A))). [resolve(148,a,135,a)].
% 0.83/1.10 Derived: -v1_funct_1(f15(A)) | k10_relat_1(f15(A),B) != C | -r2_hidden(D,C) | r2_hidden(k1_funct_1(f15(A),D),B). [resolve(148,a,136,a)].
% 0.83/1.10 Derived: -v1_funct_1(f15(A)) | k10_relat_1(f15(A),B) != C | r2_hidden(D,C) | -r2_hidden(D,k1_relat_1(f15(A))) | -r2_hidden(k1_funct_1(f15(A),D),B). [resolve(148,a,137,a)].
% 0.83/1.10 Derived: -v1_funct_1(f15(A)) | k10_relat_1(f15(A),B) = C | r2_hidden(f1(f15(A),B,C),C) | r2_hidden(f1(f15(A),B,C),k1_relat_1(f15(A))). [resolve(148,a,138,a)].
% 0.83/1.10 Derived: -v1_funct_1(f15(A)) | k10_relat_1(f15(A),B) = C | r2_hidden(f1(f15(A),B,C),C) | r2_hidden(k1_funct_1(f15(A),f1(f15(A),B,C)),B). [resolve(148,a,139,a)].
% 0.83/1.12 Derived: -v1_funct_1(f15(A)) | k10_relat_1(f15(A),B) = C | -r2_hidden(f1(f15(A),B,C),C) | -r2_hidden(f1(f15(A),B,C),k1_relat_1(f15(A))) | -r2_hidden(k1_funct_1(f15(A),f1(f15(A),B,C)),B). [resolve(148,a,140,a)].
% 0.83/1.12 Derived: -v1_funct_1(f15(A)) | v1_fraenkel(k4_card_3(f15(A))). [resolve(148,a,142,a)].
% 0.83/1.12 Derived: -v2_relat_1(f15(A)) | -v1_funct_1(f15(A)) | -v1_xboole_0(k4_card_3(f15(A))). [resolve(148,a,143,a)].
% 0.83/1.12 149 -v1_relat_1(A) | -r1_tarski(B,C) | r1_tarski(k10_relat_1(A,B),k10_relat_1(A,C)) # label(t178_relat_1) # label(axiom). [clausify(87)].
% 0.83/1.12 Derived: -r1_tarski(A,B) | r1_tarski(k10_relat_1(C,A),k10_relat_1(C,B)) | -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(D,E))). [resolve(149,a,134,b)].
% 0.83/1.12 Derived: -r1_tarski(A,B) | r1_tarski(k10_relat_1(C,A),k10_relat_1(C,B)) | -m1_pboole(C,D). [resolve(149,a,141,b)].
% 0.83/1.12 Derived: -r1_tarski(A,B) | r1_tarski(k10_relat_1(k12_pralg_1(C,D),A),k10_relat_1(k12_pralg_1(C,D),B)) | -v2_pralg_1(D) | -v4_waybel_3(D) | -m1_pboole(D,C). [resolve(149,a,145,d)].
% 0.83/1.12 Derived: -r1_tarski(A,B) | r1_tarski(k10_relat_1(f11(C),A),k10_relat_1(f11(C),B)). [resolve(149,a,146,a)].
% 0.83/1.12 Derived: -r1_tarski(A,B) | r1_tarski(k10_relat_1(f13(C),A),k10_relat_1(f13(C),B)). [resolve(149,a,147,a)].
% 0.83/1.12 Derived: -r1_tarski(A,B) | r1_tarski(k10_relat_1(f15(C),A),k10_relat_1(f15(C),B)). [resolve(149,a,148,a)].
% 0.83/1.12 150 -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -l1_struct_0(k3_waybel18(B,A)) | -m1_subset_1(C,u1_struct_0(k3_waybel18(B,A))) | v1_relat_1(C). [resolve(129,d,130,a)].
% 0.83/1.12 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -l1_struct_0(k3_waybel18(B,A)) | -m1_subset_1(C,u1_struct_0(k3_waybel18(B,A))) | -v1_funct_1(C) | -v1_waybel18(C) | v2_pralg_1(C). [resolve(150,f,133,a)].
% 0.83/1.12 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -l1_struct_0(k3_waybel18(B,A)) | -m1_subset_1(C,u1_struct_0(k3_waybel18(B,A))) | -v1_funct_1(C) | k10_relat_1(C,D) != E | -r2_hidden(F,E) | r2_hidden(F,k1_relat_1(C)). [resolve(150,f,135,a)].
% 0.83/1.12 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -l1_struct_0(k3_waybel18(B,A)) | -m1_subset_1(C,u1_struct_0(k3_waybel18(B,A))) | -v1_funct_1(C) | k10_relat_1(C,D) != E | -r2_hidden(F,E) | r2_hidden(k1_funct_1(C,F),D). [resolve(150,f,136,a)].
% 0.83/1.12 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -l1_struct_0(k3_waybel18(B,A)) | -m1_subset_1(C,u1_struct_0(k3_waybel18(B,A))) | -v1_funct_1(C) | k10_relat_1(C,D) != E | r2_hidden(F,E) | -r2_hidden(F,k1_relat_1(C)) | -r2_hidden(k1_funct_1(C,F),D). [resolve(150,f,137,a)].
% 0.83/1.12 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -l1_struct_0(k3_waybel18(B,A)) | -m1_subset_1(C,u1_struct_0(k3_waybel18(B,A))) | -v1_funct_1(C) | k10_relat_1(C,D) = E | r2_hidden(f1(C,D,E),E) | r2_hidden(f1(C,D,E),k1_relat_1(C)). [resolve(150,f,138,a)].
% 0.83/1.12 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -l1_struct_0(k3_waybel18(B,A)) | -m1_subset_1(C,u1_struct_0(k3_waybel18(B,A))) | -v1_funct_1(C) | k10_relat_1(C,D) = E | r2_hidden(f1(C,D,E),E) | r2_hidden(k1_funct_1(C,f1(C,D,E)),D). [resolve(150,f,139,a)].
% 0.83/1.12 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -l1_struct_0(k3_waybel18(B,A)) | -m1_subset_1(C,u1_struct_0(k3_waybel18(B,A))) | -v1_funct_1(C) | k10_relat_1(C,D) = E | -r2_hidden(f1(C,D,E),E) | -r2_hidden(f1(C,D,E),k1_relat_1(C)) | -r2_hidden(k1_funct_1(C,f1(C,D,E)),D). [resolve(150,f,140,a)].
% 0.83/1.12 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -l1_struct_0(k3_waybel18(B,A)) | -m1_subset_1(C,u1_struct_0(k3_waybel18(B,A))) | -v1_funct_1(C) | v1_fraenkel(k4_card_3(C)). [resolve(150,f,142,a)].
% 0.83/1.12 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -l1_struct_0(k3_waybel18(B,A)) | -m1_subset_1(C,u1_struct_0(k3_waybel18(B,A))) | -v2_relat_1(C) | -v1_funct_1(C) | -v1_xboole_0(k4_card_3(C)). [resolve(150,f,143,a)].
% 0.83/1.12 Derived: -v4_waybel_3(A) | -v1_waybel18(A) | -m1_pboole(A,B) | -l1_struct_0(k3_waybel18(B,A)) | -m1_subset_1(C,u1_struct_0(k3_waybel18(B,A))) | -r1_tarski(D,E) | r1_tarski(k10_relat_1(C,D),k10_relat_1(C,E)). [resolve(150,f,149,a)].
% 0.83/1.12 151 -l1_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | v1_relat_1(A). [resolve(132,a,130,a)].
% 0.90/1.22 Derived: -l1_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -v1_funct_1(A) | -v1_waybel18(A) | v2_pralg_1(A). [resolve(151,c,133,a)].
% 0.90/1.22 Derived: -l1_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -v1_funct_1(A) | k10_relat_1(A,B) != C | -r2_hidden(D,C) | r2_hidden(D,k1_relat_1(A)). [resolve(151,c,135,a)].
% 0.90/1.22 Derived: -l1_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -v1_funct_1(A) | k10_relat_1(A,B) != C | -r2_hidden(D,C) | r2_hidden(k1_funct_1(A,D),B). [resolve(151,c,136,a)].
% 0.90/1.22 Derived: -l1_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -v1_funct_1(A) | k10_relat_1(A,B) != C | r2_hidden(D,C) | -r2_hidden(D,k1_relat_1(A)) | -r2_hidden(k1_funct_1(A,D),B). [resolve(151,c,137,a)].
% 0.90/1.22 Derived: -l1_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -v1_funct_1(A) | k10_relat_1(A,B) = C | r2_hidden(f1(A,B,C),C) | r2_hidden(f1(A,B,C),k1_relat_1(A)). [resolve(151,c,138,a)].
% 0.90/1.22 Derived: -l1_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -v1_funct_1(A) | k10_relat_1(A,B) = C | r2_hidden(f1(A,B,C),C) | r2_hidden(k1_funct_1(A,f1(A,B,C)),B). [resolve(151,c,139,a)].
% 0.90/1.22 Derived: -l1_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -v1_funct_1(A) | k10_relat_1(A,B) = C | -r2_hidden(f1(A,B,C),C) | -r2_hidden(f1(A,B,C),k1_relat_1(A)) | -r2_hidden(k1_funct_1(A,f1(A,B,C)),B). [resolve(151,c,140,a)].
% 0.90/1.22 Derived: -l1_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -v1_funct_1(A) | v1_fraenkel(k4_card_3(A)). [resolve(151,c,142,a)].
% 0.90/1.22 Derived: -l1_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -v2_relat_1(A) | -v1_funct_1(A) | -v1_xboole_0(k4_card_3(A)). [resolve(151,c,143,a)].
% 0.90/1.22 Derived: -l1_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -r1_tarski(B,C) | r1_tarski(k10_relat_1(A,B),k10_relat_1(A,C)). [resolve(151,c,149,a)].
% 0.90/1.22 152 -m2_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) # label(dt_m2_relset_1) # label(axiom). [clausify(36)].
% 0.90/1.22 153 v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A) | m2_relset_1(k6_waybel18(A,B,C),u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C))) # label(dt_k6_waybel18) # label(axiom). [clausify(29)].
% 0.90/1.22 Derived: m1_subset_1(k6_waybel18(A,B,C),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C))))) | v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A). [resolve(152,a,153,f)].
% 0.90/1.22 154 m2_relset_1(f9(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(45)].
% 0.90/1.22 Derived: m1_subset_1(f9(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(154,a,152,a)].
% 0.90/1.22 155 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(82)].
% 0.90/1.22 Derived: m1_relset_1(k6_waybel18(A,B,C),u1_struct_0(k3_waybel18(A,B)),u1_struct_0(k4_waybel18(A,B,C))) | v1_xboole_0(A) | -v4_waybel_3(B) | -v1_waybel18(B) | -m1_pboole(B,A) | -m1_subset_1(C,A). [resolve(155,a,153,f)].
% 0.90/1.22 Derived: m1_relset_1(f9(A,B),A,B). [resolve(155,a,154,a)].
% 0.90/1.22 156 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(82)].
% 0.90/1.22 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(156,a,152,a)].
% 0.90/1.22
% 0.90/1.22 ============================== end predicate elimination =============
% 0.90/1.22
% 0.90/1.22 Auto_denials: (non-Horn, no changes).
% 0.90/1.22
% 0.90/1.22 Term ordering decisions:
% 0.90/1.22 Function symbol KB weights: k1_xboole_0=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. k3_waybel18=1. g1_pre_topc=1. k10_relat_1=1. k12_pralg_1=1. k1_funct_1=1. k2_waybel18=1. k2_zfmisc_1=1. k1_struct_0=1. f3=1. f4=1. f6=1. f9=1. f24=1. k1_zfmisc_1=1. u1_struct_0=1. k3_tarski=1. k2_pre_topc=1. k1_relat_1=1. u1_pre_topc=1. k4_card_3=1. k1_tarski=1. f5=1. f7=1. f8=1. f10=1. f11=1. f12=1. f13=1. f14=1. f15=1. f16=1. f17=1. f18=1. f19=1. k4_waybel18=1. k6_waybel18=1. f1=1. f2=1. f23=1. f25=1. f26=1. k5_pre_topc=1. k5_waybel18=1. f20=1. f22=1. f27=1. f28=1. f29=1. f21=1.
% 0.90/1.22
% 0.90/1.22 ============================== end of process initial clauses ========
% 0.90/1.22
% 0.90/1.22 ============================== CLAUSES FOR SEARCH ====================
% 0.90/1.22
% 0.90/1.22 ==Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------