TSTP Solution File: CAT024+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : CAT024+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n024.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 : Fri Jul 15 00:06:22 EDT 2022
% Result : Timeout 300.03s 300.34s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CAT024+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 : n024.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun May 29 16:37:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.85/1.13 ============================== Prover9 ===============================
% 0.85/1.13 Prover9 (32) version 2009-11A, November 2009.
% 0.85/1.13 Process 2994 was started by sandbox on n024.cluster.edu,
% 0.85/1.13 Sun May 29 16:37:52 2022
% 0.85/1.13 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_2840_n024.cluster.edu".
% 0.85/1.13 ============================== end of head ===========================
% 0.85/1.13
% 0.85/1.13 ============================== INPUT =================================
% 0.85/1.13
% 0.85/1.13 % Reading from file /tmp/Prover9_2840_n024.cluster.edu
% 0.85/1.13
% 0.85/1.13 set(prolog_style_variables).
% 0.85/1.13 set(auto2).
% 0.85/1.13 % set(auto2) -> set(auto).
% 0.85/1.13 % set(auto) -> set(auto_inference).
% 0.85/1.13 % set(auto) -> set(auto_setup).
% 0.85/1.13 % set(auto_setup) -> set(predicate_elim).
% 0.85/1.13 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.85/1.13 % set(auto) -> set(auto_limits).
% 0.85/1.13 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.85/1.13 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.85/1.13 % set(auto) -> set(auto_denials).
% 0.85/1.13 % set(auto) -> set(auto_process).
% 0.85/1.13 % set(auto2) -> assign(new_constants, 1).
% 0.85/1.13 % set(auto2) -> assign(fold_denial_max, 3).
% 0.85/1.13 % set(auto2) -> assign(max_weight, "200.000").
% 0.85/1.13 % set(auto2) -> assign(max_hours, 1).
% 0.85/1.13 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.85/1.13 % set(auto2) -> assign(max_seconds, 0).
% 0.85/1.13 % set(auto2) -> assign(max_minutes, 5).
% 0.85/1.13 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.85/1.13 % set(auto2) -> set(sort_initial_sos).
% 0.85/1.13 % set(auto2) -> assign(sos_limit, -1).
% 0.85/1.13 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.85/1.13 % set(auto2) -> assign(max_megs, 400).
% 0.85/1.13 % set(auto2) -> assign(stats, some).
% 0.85/1.13 % set(auto2) -> clear(echo_input).
% 0.85/1.13 % set(auto2) -> set(quiet).
% 0.85/1.13 % set(auto2) -> clear(print_initial_clauses).
% 0.85/1.13 % set(auto2) -> clear(print_given).
% 0.85/1.13 assign(lrs_ticks,-1).
% 0.85/1.13 assign(sos_limit,10000).
% 0.85/1.13 assign(order,kbo).
% 0.85/1.13 set(lex_order_vars).
% 0.85/1.13 clear(print_given).
% 0.85/1.13
% 0.85/1.13 % formulas(sos). % not echoed (114 formulas)
% 0.85/1.13
% 0.85/1.13 ============================== end of input ==========================
% 0.85/1.13
% 0.85/1.13 % From the command line: assign(max_seconds, 300).
% 0.85/1.13
% 0.85/1.13 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.85/1.13
% 0.85/1.13 % Formulas that are not ordinary clauses:
% 0.85/1.13 1 (all A (l1_cat_1(A) -> (v1_cat_1(A) -> A = g1_cat_1(u1_cat_1(A),u2_cat_1(A),u3_cat_1(A),u4_cat_1(A),u5_cat_1(A),u6_cat_1(A))))) # label(abstractness_v1_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 3 (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].
% 0.85/1.13 4 (all A all B k2_tarski(A,B) = k2_tarski(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 5 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> (all C (m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_subset_1(D,u1_cat_1(A)) -> (all E (m1_cat_1(E,A,B,C) -> (all F (m1_cat_1(F,A,C,D) -> -(k6_cat_1(A,B,C) != k1_xboole_0 & k6_cat_1(A,C,D) != k1_xboole_0 & k9_cat_1(A,B,C,D,E,F) != k4_cat_1(A,E,F)))))))))))))) # label(d13_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 6 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) <-> (all E (m1_subset_1(E,u1_cat_1(A)) -> k6_cat_1(B,k13_cat_1(A,B,C,E),k13_cat_1(A,B,D,E)) != k1_xboole_0))))))))))) # label(d2_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 7 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,D,E) -> (all F (m2_nattra_1(F,k11_cat_2(A,B),C,D,E) -> (all G (m2_nattra_1(G,A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) -> (G = k6_isocat_2(A,B,C,D,E,F) <-> (all H (v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C)) & m2_relset_1(H,k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C)) -> (r4_nattra_1(u1_cat_1(k11_cat_2(A,B)),u2_cat_1(C),k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C),F,H) -> (all I (m1_subset_1(I,u1_cat_1(A)) -> k5_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E),G,I) = k4_tarski(k12_cat_2(k12_nattra_1(B,C),k12_nattra_1(B,C),k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),I),k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,E),I)),k1_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(C),k1_fraenkel(u1_cat_1(B),u2_cat_1(C)),k2_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(C),H),I))))))))))))))))))))))) # label(d5_isocat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 8 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r1_nattra_1(A,B,C,D) -> (all E (m1_nattra_1(E,A,B,C,D) -> (all F (m1_subset_1(F,u1_cat_1(A)) -> k5_nattra_1(A,B,C,D,E,F) = k8_funct_2(u1_cat_1(A),u2_cat_1(B),E,F)))))))))))))) # label(d5_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 9 (all A all B k4_tarski(A,B) = k2_tarski(k2_tarski(A,B),k1_tarski(A))) # label(d5_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 10 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (r2_nattra_1(A,B,C,D) <-> r1_nattra_1(A,B,C,D) & (exists E (m1_nattra_1(E,A,B,C,D) & (all F (m1_subset_1(F,u1_cat_1(A)) -> (all G (m1_subset_1(G,u1_cat_1(A)) -> (k6_cat_1(A,F,G) != k1_xboole_0 -> (all H (m1_cat_1(H,A,F,G) -> k9_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,C,G),k13_cat_1(A,B,D,G),k3_nattra_1(A,B,C,F,G,H),k5_nattra_1(A,B,C,D,E,G)) = k9_cat_1(B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F),k13_cat_1(A,B,D,G),k5_nattra_1(A,B,C,D,E,F),k3_nattra_1(A,B,D,F,G,H)))))))))))))))))))) # label(d7_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 11 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_relset_1(C,B,A) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_relset_1(D,B,A) & v1_funct_1(E) & m1_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_1(F) & v1_funct_2(F,A,B) & m1_relset_1(F,A,B) -> v1_cat_1(g1_cat_1(A,B,C,D,E,F)) & l1_cat_1(g1_cat_1(A,B,C,D,E,F)))) # label(dt_g1_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 12 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(C) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & m1_relset_1(D,k2_zfmisc_1(B,B),B) -> v1_funct_1(k10_cat_2(A,B,C,D)) & m2_relset_1(k10_cat_2(A,B,C,D),k2_zfmisc_1(k2_zfmisc_1(A,B),k2_zfmisc_1(A,B)),k2_zfmisc_1(A,B)))) # label(dt_k10_cat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 13 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> v2_cat_1(k11_cat_2(A,B)) & l1_cat_1(k11_cat_2(A,B)))) # label(dt_k11_cat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 14 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u1_cat_1(A)) & m1_subset_1(D,u1_cat_1(B)) -> m1_subset_1(k12_cat_2(A,B,C,D),u1_cat_1(k11_cat_2(A,B))))) # label(dt_k12_cat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 15 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> v1_cat_1(k12_nattra_1(A,B)) & v2_cat_1(k12_nattra_1(A,B)) & l1_cat_1(k12_nattra_1(A,B)))) # label(dt_k12_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 16 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m1_subset_1(D,u1_cat_1(A)) -> m1_subset_1(k13_cat_1(A,B,C,D),u1_cat_1(B)))) # label(dt_k13_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 17 (all A all B all C all D all E (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,k11_cat_2(A,B),C) & m1_subset_1(E,u1_cat_1(A)) -> m2_cat_1(k14_cat_2(A,B,C,D,E),B,C))) # label(dt_k14_cat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 18 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) -> v1_relat_1(k15_funct_3(A,B)) & v1_funct_1(k15_funct_3(A,B)))) # label(dt_k15_funct_3) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 19 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(C) & m1_fraenkel(D,B,C) & v1_funct_1(E) & v1_funct_2(E,A,D) & m1_relset_1(E,A,D) & m1_subset_1(F,A) -> m2_fraenkel(k1_cat_2(A,B,C,D,E,F),B,C,D))) # label(dt_k1_cat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 20 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(C,A) & m1_subset_1(D,B) -> m1_subset_1(k1_domain_1(A,B,C,D),k2_zfmisc_1(A,B)))) # label(dt_k1_domain_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 21 (all A all B (-v1_xboole_0(B) -> m1_fraenkel(k1_fraenkel(A,B),A,B))) # label(dt_k1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 22 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 23 $T # label(dt_k1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 24 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 25 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 26 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 27 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) -> v1_funct_1(k2_cat_2(A,B,C,D)) & v1_funct_2(k2_cat_2(A,B,C,D),A,k1_fraenkel(B,C)) & m2_relset_1(k2_cat_2(A,B,C,D),A,k1_fraenkel(B,C)))) # label(dt_k2_cat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 28 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 29 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 30 (all A all B (v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) -> v1_relat_1(k3_funct_4(A,B)) & v1_funct_1(k3_funct_4(A,B)))) # label(dt_k3_funct_4) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 31 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k3_funct_5(A)) & v1_funct_1(k3_funct_5(A)))) # label(dt_k3_funct_5) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 32 (all A all B all C all D all E all F (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m1_subset_1(D,u1_cat_1(A)) & m1_subset_1(E,u1_cat_1(A)) & m1_cat_1(F,A,D,E) -> m1_cat_1(k3_nattra_1(A,B,C,D,E,F),B,k13_cat_1(A,B,C,D),k13_cat_1(A,B,C,E)))) # label(dt_k3_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 33 (all A all B all C (l1_cat_1(A) & m1_subset_1(B,u2_cat_1(A)) & m1_subset_1(C,u2_cat_1(A)) -> m1_subset_1(k4_cat_1(A,B,C),u2_cat_1(A)))) # label(dt_k4_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 34 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 35 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,k11_cat_2(A,B),C) -> m2_cat_1(k5_isocat_2(A,B,C,D),A,k12_nattra_1(B,C)))) # label(dt_k5_isocat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 36 (all A all B all C all D all E all F (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & m1_nattra_1(E,A,B,C,D) & m1_subset_1(F,u1_cat_1(A)) -> m1_cat_1(k5_nattra_1(A,B,C,D,E,F),B,k13_cat_1(A,B,C,F),k13_cat_1(A,B,D,F)))) # label(dt_k5_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 37 (all A all B all C (l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u1_cat_1(A)) -> m1_subset_1(k6_cat_1(A,B,C),k1_zfmisc_1(u2_cat_1(A))))) # label(dt_k6_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 38 (all A all B all C all D all E all F (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D,k11_cat_2(A,B),C) & m2_cat_1(E,k11_cat_2(A,B),C) & m2_nattra_1(F,k11_cat_2(A,B),C,D,E) -> m2_nattra_1(k6_isocat_2(A,B,C,D,E,F),A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)))) # label(dt_k6_isocat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 39 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) & m1_subset_1(D,A) -> m1_subset_1(k8_funct_2(A,B,C,D),B))) # label(dt_k8_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 40 (all A all B all C all D all E all F all G (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) & m2_cat_1(E,A,B) & m2_nattra_1(F,A,B,C,D) & m2_nattra_1(G,A,B,D,E) -> m2_nattra_1(k8_nattra_1(A,B,C,D,E,F,G),A,B,C,E))) # label(dt_k8_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 41 (all A all B all C all D all E all F (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u1_cat_1(A)) & m1_subset_1(D,u1_cat_1(A)) & m1_cat_1(E,A,B,C) & m1_cat_1(F,A,C,D) -> m1_cat_1(k9_cat_1(A,B,C,D,E,F),A,B,D))) # label(dt_k9_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 42 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & -v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_relset_1(E,A,C) & v1_funct_1(F) & v1_funct_2(F,B,D) & m1_relset_1(F,B,D) -> v1_funct_1(k9_cat_2(A,B,C,D,E,F)) & v1_funct_2(k9_cat_2(A,B,C,D,E,F),k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)) & m2_relset_1(k9_cat_2(A,B,C,D,E,F),k2_zfmisc_1(A,B),k2_zfmisc_1(C,D)))) # label(dt_k9_cat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 43 $T # label(dt_l1_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 44 (all A all B all C (l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u1_cat_1(A)) -> (all D (m1_cat_1(D,A,B,C) -> m1_subset_1(D,u2_cat_1(A)))))) # label(dt_m1_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 45 (all A all B all C (m1_fraenkel(C,A,B) -> -v1_xboole_0(C) & v1_fraenkel(C))) # label(dt_m1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 46 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) -> (all E (m1_nattra_1(E,A,B,C,D) -> v1_funct_1(E) & v1_funct_2(E,u1_cat_1(A),u2_cat_1(B)) & m2_relset_1(E,u1_cat_1(A),u2_cat_1(B)))))) # label(dt_m1_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 47 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 48 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 49 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> v1_funct_1(C) & v1_funct_2(C,u2_cat_1(A),u2_cat_1(B)) & m2_relset_1(C,u2_cat_1(A),u2_cat_1(B)))))) # label(dt_m2_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 50 (all A all B all C (-v1_xboole_0(B) & m1_fraenkel(C,A,B) -> (all D (m2_fraenkel(D,A,B,C) -> v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B))))) # label(dt_m2_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 51 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) -> (all E (m2_nattra_1(E,A,B,C,D) -> m1_nattra_1(E,A,B,C,D))))) # label(dt_m2_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 52 (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].
% 0.85/1.13 53 (all A (l1_cat_1(A) -> -v1_xboole_0(u1_cat_1(A)))) # label(dt_u1_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 54 (all A (l1_cat_1(A) -> -v1_xboole_0(u2_cat_1(A)))) # label(dt_u2_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 55 (all A (l1_cat_1(A) -> v1_funct_1(u3_cat_1(A)) & v1_funct_2(u3_cat_1(A),u2_cat_1(A),u1_cat_1(A)) & m2_relset_1(u3_cat_1(A),u2_cat_1(A),u1_cat_1(A)))) # label(dt_u3_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 56 (all A (l1_cat_1(A) -> v1_funct_1(u4_cat_1(A)) & v1_funct_2(u4_cat_1(A),u2_cat_1(A),u1_cat_1(A)) & m2_relset_1(u4_cat_1(A),u2_cat_1(A),u1_cat_1(A)))) # label(dt_u4_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 57 (all A (l1_cat_1(A) -> v1_funct_1(u5_cat_1(A)) & m2_relset_1(u5_cat_1(A),k2_zfmisc_1(u2_cat_1(A),u2_cat_1(A)),u2_cat_1(A)))) # label(dt_u5_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.13 58 (all A (l1_cat_1(A) -> v1_funct_1(u6_cat_1(A)) & v1_funct_2(u6_cat_1(A),u1_cat_1(A),u2_cat_1(A)) & m2_relset_1(u6_cat_1(A),u1_cat_1(A),u2_cat_1(A)))) # label(dt_u6_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 59 (exists A l1_cat_1(A)) # label(existence_l1_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 60 (all A all B all C (l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) & m1_subset_1(C,u1_cat_1(A)) -> (exists D m1_cat_1(D,A,B,C)))) # label(existence_m1_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 61 (all A all B exists C m1_fraenkel(C,A,B)) # label(existence_m1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 62 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) -> (exists E m1_nattra_1(E,A,B,C,D)))) # label(existence_m1_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 63 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 64 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 65 (all A all B (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) -> (exists C m2_cat_1(C,A,B)))) # label(existence_m2_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 66 (all A all B all C (-v1_xboole_0(B) & m1_fraenkel(C,A,B) -> (exists D m2_fraenkel(D,A,B,C)))) # label(existence_m2_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 67 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) -> (exists E m2_nattra_1(E,A,B,C,D)))) # label(existence_m2_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 68 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 69 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 70 (all A -v1_xboole_0(k1_tarski(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 71 (all A all B -v1_xboole_0(k2_tarski(A,B))) # label(fc3_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 72 (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].
% 0.85/1.14 73 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(C) & v1_funct_2(C,B,A) & m1_relset_1(C,B,A) & v1_funct_1(D) & v1_funct_2(D,B,A) & m1_relset_1(D,B,A) & v1_funct_1(E) & m1_relset_1(E,k2_zfmisc_1(B,B),B) & v1_funct_1(F) & v1_funct_2(F,A,B) & m1_relset_1(F,A,B) -> (all G all H all I all J all K all L (g1_cat_1(A,B,C,D,E,F) = g1_cat_1(G,H,I,J,K,L) -> A = G & B = H & C = I & D = J & E = K & F = L)))) # label(free_g1_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 74 (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].
% 0.85/1.14 75 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 76 (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].
% 0.85/1.14 77 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 78 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(C) & m1_relset_1(C,k2_zfmisc_1(A,A),A) & v1_funct_1(D) & m1_relset_1(D,k2_zfmisc_1(B,B),B) -> k10_cat_2(A,B,C,D) = k3_funct_4(C,D))) # label(redefinition_k10_cat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 79 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m1_subset_1(C,u1_cat_1(A)) & m1_subset_1(D,u1_cat_1(B)) -> k12_cat_2(A,B,C,D) = k4_tarski(C,D))) # label(redefinition_k12_cat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 80 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(C) & m1_fraenkel(D,B,C) & v1_funct_1(E) & v1_funct_2(E,A,D) & m1_relset_1(E,A,D) & m1_subset_1(F,A) -> k1_cat_2(A,B,C,D,E,F) = k1_funct_1(E,F))) # label(redefinition_k1_cat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 81 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & m1_subset_1(C,A) & m1_subset_1(D,B) -> k1_domain_1(A,B,C,D) = k4_tarski(C,D))) # label(redefinition_k1_domain_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 82 (all A all B (-v1_xboole_0(B) -> k1_fraenkel(A,B) = k1_funct_2(A,B))) # label(redefinition_k1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 83 (all A all B all C all D (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) -> k2_cat_2(A,B,C,D) = k3_funct_5(D))) # label(redefinition_k2_cat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 84 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) & m1_subset_1(D,A) -> k8_funct_2(A,B,C,D) = k1_funct_1(C,D))) # label(redefinition_k8_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 85 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & -v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,A,C) & m1_relset_1(E,A,C) & v1_funct_1(F) & v1_funct_2(F,B,D) & m1_relset_1(F,B,D) -> k9_cat_2(A,B,C,D,E,F) = k15_funct_3(E,F))) # label(redefinition_k9_cat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 86 (all A all B all C (-v1_xboole_0(B) & m1_fraenkel(C,A,B) -> (all D (m2_fraenkel(D,A,B,C) <-> m1_subset_1(D,C))))) # label(redefinition_m2_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 87 (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].
% 0.85/1.14 88 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & -v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_relset_1(E,A,B) & v1_funct_1(F) & v1_funct_2(F,C,D) & m1_relset_1(F,C,D) -> (r4_nattra_1(A,B,C,D,E,F) <-> E = F))) # label(redefinition_r4_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 89 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) -> r1_nattra_1(A,B,C,C))) # label(reflexivity_r1_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 90 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 91 (all A all B all C all D (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C,A,B) & m2_cat_1(D,A,B) -> r2_nattra_1(A,B,C,C))) # label(reflexivity_r2_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 92 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & -v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_relset_1(E,A,B) & v1_funct_1(F) & v1_funct_2(F,C,D) & m1_relset_1(F,C,D) -> r4_nattra_1(A,B,C,D,E,E))) # label(reflexivity_r4_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 93 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & -v1_xboole_0(C) & -v1_xboole_0(D) & v1_funct_1(E) & v1_funct_2(E,A,B) & m1_relset_1(E,A,B) & v1_funct_1(F) & v1_funct_2(F,C,D) & m1_relset_1(F,C,D) -> (r4_nattra_1(A,B,C,D,E,F) -> r4_nattra_1(A,B,C,D,F,E)))) # label(symmetry_r4_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 94 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,D,E) -> (all F (m2_nattra_1(F,k11_cat_2(A,B),C,D,E) -> (all G (m1_subset_1(G,u1_cat_1(A)) -> r2_nattra_1(B,C,k14_cat_2(A,B,C,D,G),k14_cat_2(A,B,C,E,G)) & m2_nattra_1(k1_funct_1(k3_funct_5(F),G),B,C,k14_cat_2(A,B,C,D,G),k14_cat_2(A,B,C,E,G))))))))))))))))) # label(t15_isocat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 95 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r1_nattra_1(A,B,C,D) & r1_nattra_1(A,B,D,E) -> r1_nattra_1(A,B,C,E)))))))))))) # label(t19_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 96 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 97 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (r1_nattra_1(B,A,C,D) -> (all E (m1_nattra_1(E,B,A,C,D) -> (all F (m1_nattra_1(F,B,A,C,D) -> ((all G (m1_subset_1(G,u1_cat_1(B)) -> k5_nattra_1(B,A,C,D,E,G) = k5_nattra_1(B,A,C,D,F,G))) -> E = F)))))))))))))) # label(t20_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 98 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m1_subset_1(E,u1_cat_1(A)) -> k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),E) = k14_cat_2(A,B,C,D,E))))))))))) # label(t24_isocat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 99 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (r2_nattra_1(A,B,C,D) & r2_nattra_1(A,B,D,E) -> r2_nattra_1(A,B,C,E)))))))))))) # label(t25_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 100 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,D,E) -> (all F (m2_nattra_1(F,k11_cat_2(A,B),C,D,E) -> r2_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) & (exists G (m2_nattra_1(G,A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E)) & (all H (v1_funct_1(H) & v1_funct_2(H,k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C)) & m2_relset_1(H,k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C)) -> (r4_nattra_1(u1_cat_1(k11_cat_2(A,B)),u2_cat_1(C),k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)),u2_cat_1(C),F,H) -> (all I (m1_subset_1(I,u1_cat_1(A)) -> k5_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E),G,I) = k4_tarski(k12_cat_2(k12_nattra_1(B,C),k12_nattra_1(B,C),k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),I),k13_cat_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,E),I)),k1_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(C),k1_fraenkel(u1_cat_1(B),u2_cat_1(C)),k2_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(C),H),I)))))))))))))))))))))) # label(t27_isocat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 101 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,B,A) -> (all D (m2_cat_1(D,B,A) -> (all E (m2_cat_1(E,B,A) -> (r2_nattra_1(B,A,C,D) & r2_nattra_1(B,A,D,E) -> (all F (m2_nattra_1(F,B,A,C,D) -> (all G (m2_nattra_1(G,B,A,D,E) -> (all H (m1_subset_1(H,u1_cat_1(B)) -> k5_nattra_1(B,A,C,E,k8_nattra_1(B,A,C,D,E,F,G),H) = k9_cat_1(A,k13_cat_1(B,A,C,H),k13_cat_1(B,A,D,H),k13_cat_1(B,A,E,H),k5_nattra_1(B,A,C,D,F,H),k5_nattra_1(B,A,D,E,G,H))))))))))))))))))) # label(t27_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 102 (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].
% 0.85/1.14 103 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> u1_cat_1(k11_cat_2(A,B)) = k2_zfmisc_1(u1_cat_1(A),u1_cat_1(B)) & u2_cat_1(k11_cat_2(A,B)) = k2_zfmisc_1(u2_cat_1(A),u2_cat_1(B)) & u3_cat_1(k11_cat_2(A,B)) = k9_cat_2(u2_cat_1(A),u2_cat_1(B),u1_cat_1(A),u1_cat_1(B),u3_cat_1(A),u3_cat_1(B)) & u4_cat_1(k11_cat_2(A,B)) = k9_cat_2(u2_cat_1(A),u2_cat_1(B),u1_cat_1(A),u1_cat_1(B),u4_cat_1(A),u4_cat_1(B)) & u5_cat_1(k11_cat_2(A,B)) = k10_cat_2(u2_cat_1(A),u2_cat_1(B),u5_cat_1(A),u5_cat_1(B)) & u6_cat_1(k11_cat_2(A,B)) = k9_cat_2(u1_cat_1(A),u1_cat_1(B),u2_cat_1(A),u2_cat_1(B),u6_cat_1(A),u6_cat_1(B)))))) # label(t33_cat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 104 (all A (-v1_xboole_0(A) -> (all B (-v1_xboole_0(B) -> (all C (-v1_xboole_0(C) -> (all D (m1_subset_1(D,A) -> (all E (m1_subset_1(E,B) -> (all F (v1_funct_1(F) & v1_funct_2(F,k2_zfmisc_1(A,B),C) & m2_relset_1(F,k2_zfmisc_1(A,B),C) -> k8_funct_2(k2_zfmisc_1(A,B),C,F,k1_domain_1(A,B,D,E)) = k8_funct_2(B,C,k1_cat_2(A,B,C,k1_fraenkel(B,C),k2_cat_2(A,B,C,F),D),E))))))))))))) # label(t3_cat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 105 (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].
% 0.85/1.14 106 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m2_cat_1(C,A,B) -> (all D (m2_cat_1(D,A,B) -> (all E (m2_cat_1(E,A,B) -> (all F (m2_nattra_1(F,A,B,C,D) -> (all G (m2_nattra_1(G,A,B,D,E) -> (all H (m1_subset_1(H,u2_cat_1(k12_nattra_1(A,B))) -> (all I (m1_subset_1(I,u2_cat_1(k12_nattra_1(A,B))) -> (H = k4_tarski(k4_tarski(C,D),F) & I = k4_tarski(k4_tarski(D,E),G) -> k4_cat_1(k12_nattra_1(A,B),H,I) = k4_tarski(k4_tarski(C,E),k8_nattra_1(A,B,C,D,E,F,G))))))))))))))))))))) # label(t42_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 107 (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].
% 0.85/1.14 108 (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].
% 0.85/1.14 109 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 110 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 111 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 112 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (m1_subset_1(C,u1_cat_1(k12_nattra_1(A,B))) <-> m2_cat_1(C,A,B))))))) # label(t8_isocat_2) # label(axiom) # label(non_clause). [assumption].
% 0.85/1.14 113 -(all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (v2_cat_1(B) & l1_cat_1(B) -> (all C (v2_cat_1(C) & l1_cat_1(C) -> (all D (m2_cat_1(D,k11_cat_2(A,B),C) -> (all E (m2_cat_1(E,k11_cat_2(A,B),C) -> (all F (m2_cat_1(F,k11_cat_2(A,B),C) -> (r2_nattra_1(k11_cat_2(A,B),C,D,E) & r2_nattra_1(k11_cat_2(A,B),C,E,F) -> (all G (m2_nattra_1(G,k11_cat_2(A,B),C,D,E) -> (all H (m2_nattra_1(H,k11_cat_2(A,B),C,E,F) -> r4_nattra_1(u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),u1_cat_1(A),u2_cat_1(k12_nattra_1(B,C)),k6_isocat_2(A,B,C,D,F,k8_nattra_1(k11_cat_2(A,B),C,D,E,F,G,H)),k8_nattra_1(A,k12_nattra_1(B,C),k5_isocat_2(A,B,C,D),k5_isocat_2(A,B,C,E),k5_isocat_2(A,B,C,F),k6_isocat_2(A,B,C,D,E,G),k6_isocat_2(A,B,C,E,F,H)))))))))))))))))))) # label(t29_isocat_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.85/1.14
% 0.85/1.14 ============================== end of process non-clausal formulas ===
% 0.85/1.14
% 0.85/1.14 ============================== PROCESS INITIAL CLAUSES ===============
% 0.85/1.14
% 0.85/1.14 ============================== PREDICATE ELIMINATION =================
% 0.85/1.14 114 v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_1(C) | -v1_funct_2(C,B,A) | -m1_relset_1(C,B,A) | -v1_funct_1(D) | -v1_funct_2(D,B,A) | -m1_relset_1(D,B,A) | -v1_funct_1(E) | -m1_relset_1(E,k2_zfmisc_1(B,B),B) | -v1_funct_1(F) | -v1_funct_2(F,A,B) | -m1_relset_1(F,A,B) | v1_cat_1(g1_cat_1(A,B,C,D,E,F)) # label(dt_g1_cat_1) # label(axiom). [clausify(11)].
% 0.85/1.14 115 -l1_cat_1(A) | -v1_cat_1(A) | g1_cat_1(u1_cat_1(A),u2_cat_1(A),u3_cat_1(A),u4_cat_1(A),u5_cat_1(A),u6_cat_1(A)) = A # label(abstractness_v1_cat_1) # label(axiom). [clausify(1)].
% 0.85/1.14 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_1(C) | -v1_funct_2(C,B,A) | -m1_relset_1(C,B,A) | -v1_funct_1(D) | -v1_funct_2(D,B,A) | -m1_relset_1(D,B,A) | -v1_funct_1(E) | -m1_relset_1(E,k2_zfmisc_1(B,B),B) | -v1_funct_1(F) | -v1_funct_2(F,A,B) | -m1_relset_1(F,A,B) | -l1_cat_1(g1_cat_1(A,B,C,D,E,F)) | g1_cat_1(u1_cat_1(g1_cat_1(A,B,C,D,E,F)),u2_cat_1(g1_cat_1(A,B,C,D,E,F)),u3_cat_1(g1_cat_1(A,B,C,D,E,F)),u4_cat_1(g1_cat_1(A,B,C,D,E,F)),u5_cat_1(g1_cat_1(A,B,C,D,E,F)),u6_cat_1(g1_cat_1(A,B,C,D,E,F))) = g1_cat_1(A,B,C,D,E,F). [resolve(114,n,115,b)].
% 0.85/1.14 116 -v2_cat_1(A) | -l1_cat_1(A) | -v2_cat_1(B) | -l1_cat_1(B) | v1_cat_1(k12_nattra_1(A,B)) # label(dt_k12_nattra_1) # label(axiom). [clausify(15)].
% 0.85/1.15 Derived: -v2_cat_1(A) | -l1_cat_1(A) | -v2_cat_1(B) | -l1_cat_1(B) | -l1_cat_1(k12_nattra_1(A,B)) | g1_cat_1(u1_cat_1(k12_nattra_1(A,B)),u2_cat_1(k12_nattra_1(A,B)),u3_cat_1(k12_nattra_1(A,B)),u4_cat_1(k12_nattra_1(A,B)),u5_cat_1(k12_nattra_1(A,B)),u6_cat_1(k12_nattra_1(A,B))) = k12_nattra_1(A,B). [resolve(116,e,115,b)].
% 0.85/1.15 117 v1_xboole_0(A) | m1_fraenkel(k1_fraenkel(B,A),B,A) # label(dt_k1_fraenkel) # label(axiom). [clausify(21)].
% 0.85/1.15 118 v1_xboole_0(A) | v1_xboole_0(B) | -m1_fraenkel(C,D,B) | -v1_funct_1(E) | -v1_funct_2(E,A,C) | -m1_relset_1(E,A,C) | -m1_subset_1(F,A) | m2_fraenkel(k1_cat_2(A,D,B,C,E,F),D,B,C) # label(dt_k1_cat_2) # label(axiom). [clausify(19)].
% 0.85/1.15 Derived: v1_xboole_0(A) | v1_xboole_0(B) | v1_xboole_0(A) | -v1_funct_1(C) | -v1_funct_2(C,B,k1_fraenkel(D,A)) | -m1_relset_1(C,B,k1_fraenkel(D,A)) | -m1_subset_1(E,B) | m2_fraenkel(k1_cat_2(B,D,A,k1_fraenkel(D,A),C,E),D,A,k1_fraenkel(D,A)). [resolve(117,b,118,c)].
% 0.85/1.15 119 -m1_fraenkel(A,B,C) | -v1_xboole_0(A) # label(dt_m1_fraenkel) # label(axiom). [clausify(45)].
% 0.85/1.15 Derived: -v1_xboole_0(k1_fraenkel(A,B)) | v1_xboole_0(B). [resolve(119,a,117,b)].
% 0.85/1.15 120 -m1_fraenkel(A,B,C) | v1_fraenkel(A) # label(dt_m1_fraenkel) # label(axiom). [clausify(45)].
% 0.85/1.15 Derived: v1_fraenkel(k1_fraenkel(A,B)) | v1_xboole_0(B). [resolve(120,a,117,b)].
% 0.85/1.15 121 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | -m2_fraenkel(D,C,A,B) | v1_funct_1(D) # label(dt_m2_fraenkel) # label(axiom). [clausify(50)].
% 0.85/1.15 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | v1_funct_1(B) | v1_xboole_0(A). [resolve(121,b,117,b)].
% 0.85/1.15 122 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | -m2_fraenkel(D,C,A,B) | v1_funct_2(D,C,A) # label(dt_m2_fraenkel) # label(axiom). [clausify(50)].
% 0.85/1.15 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | v1_funct_2(B,C,A) | v1_xboole_0(A). [resolve(122,b,117,b)].
% 0.85/1.15 123 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | -m2_fraenkel(D,C,A,B) | m2_relset_1(D,C,A) # label(dt_m2_fraenkel) # label(axiom). [clausify(50)].
% 0.85/1.15 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | m2_relset_1(B,C,A) | v1_xboole_0(A). [resolve(123,b,117,b)].
% 0.85/1.15 124 m1_fraenkel(f9(A,B),A,B) # label(existence_m1_fraenkel) # label(axiom). [clausify(61)].
% 0.85/1.15 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_1(C) | -v1_funct_2(C,A,f9(D,B)) | -m1_relset_1(C,A,f9(D,B)) | -m1_subset_1(E,A) | m2_fraenkel(k1_cat_2(A,D,B,f9(D,B),C,E),D,B,f9(D,B)). [resolve(124,a,118,c)].
% 0.85/1.15 Derived: -v1_xboole_0(f9(A,B)). [resolve(124,a,119,a)].
% 0.85/1.15 Derived: v1_fraenkel(f9(A,B)). [resolve(124,a,120,a)].
% 0.85/1.15 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f9(C,A)) | v1_funct_1(B). [resolve(124,a,121,b)].
% 0.85/1.15 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f9(C,A)) | v1_funct_2(B,C,A). [resolve(124,a,122,b)].
% 0.85/1.15 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f9(C,A)) | m2_relset_1(B,C,A). [resolve(124,a,123,b)].
% 0.85/1.15 125 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | m2_fraenkel(f14(C,A,B),C,A,B) # label(existence_m2_fraenkel) # label(axiom). [clausify(66)].
% 0.85/1.15 Derived: v1_xboole_0(A) | m2_fraenkel(f14(B,A,k1_fraenkel(B,A)),B,A,k1_fraenkel(B,A)) | v1_xboole_0(A). [resolve(125,b,117,b)].
% 0.85/1.15 Derived: v1_xboole_0(A) | m2_fraenkel(f14(B,A,f9(B,A)),B,A,f9(B,A)). [resolve(125,b,124,a)].
% 0.85/1.15 126 v1_xboole_0(A) | v1_xboole_0(B) | -m1_fraenkel(C,D,B) | -v1_funct_1(E) | -v1_funct_2(E,A,C) | -m1_relset_1(E,A,C) | -m1_subset_1(F,A) | k1_funct_1(E,F) = k1_cat_2(A,D,B,C,E,F) # label(redefinition_k1_cat_2) # label(axiom). [clausify(80)].
% 0.85/1.15 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_1(C) | -v1_funct_2(C,A,k1_fraenkel(D,B)) | -m1_relset_1(C,A,k1_fraenkel(D,B)) | -m1_subset_1(E,A) | k1_funct_1(C,E) = k1_cat_2(A,D,B,k1_fraenkel(D,B),C,E) | v1_xboole_0(B). [resolve(126,c,117,b)].
% 0.85/1.15 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_1(C) | -v1_funct_2(C,A,f9(D,B)) | -m1_relset_1(C,A,f9(D,B)) | -m1_subset_1(E,A) | k1_funct_1(C,E) = k1_cat_2(A,D,B,f9(D,B),C,E). [resolve(126,c,124,a)].
% 0.85/1.15 127 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | -m2_fraenkel(D,C,A,B) | m1_subset_1(D,B) # label(redefinition_m2_fraenkel) # label(axiom). [clausify(86)].
% 0.85/1.15 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,ACputime limit exceeded (core dumped)
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