TSTP Solution File: CAT022+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : CAT022+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 : Fri Jul 15 00:06:19 EDT 2022
% Result : Timeout 300.03s 300.31s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT022+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun May 29 21:18:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.43/1.14 ============================== Prover9 ===============================
% 0.43/1.14 Prover9 (32) version 2009-11A, November 2009.
% 0.43/1.14 Process 8149 was started by sandbox2 on n021.cluster.edu,
% 0.43/1.14 Sun May 29 21:18:29 2022
% 0.43/1.14 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_7996_n021.cluster.edu".
% 0.43/1.14 ============================== end of head ===========================
% 0.43/1.14
% 0.43/1.14 ============================== INPUT =================================
% 0.43/1.14
% 0.43/1.14 % Reading from file /tmp/Prover9_7996_n021.cluster.edu
% 0.43/1.14
% 0.43/1.14 set(prolog_style_variables).
% 0.43/1.14 set(auto2).
% 0.43/1.14 % set(auto2) -> set(auto).
% 0.43/1.14 % set(auto) -> set(auto_inference).
% 0.43/1.14 % set(auto) -> set(auto_setup).
% 0.43/1.14 % set(auto_setup) -> set(predicate_elim).
% 0.43/1.14 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/1.14 % set(auto) -> set(auto_limits).
% 0.43/1.14 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/1.14 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/1.14 % set(auto) -> set(auto_denials).
% 0.43/1.14 % set(auto) -> set(auto_process).
% 0.43/1.14 % set(auto2) -> assign(new_constants, 1).
% 0.43/1.14 % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/1.14 % set(auto2) -> assign(max_weight, "200.000").
% 0.43/1.14 % set(auto2) -> assign(max_hours, 1).
% 0.43/1.14 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/1.14 % set(auto2) -> assign(max_seconds, 0).
% 0.43/1.14 % set(auto2) -> assign(max_minutes, 5).
% 0.43/1.14 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/1.14 % set(auto2) -> set(sort_initial_sos).
% 0.43/1.14 % set(auto2) -> assign(sos_limit, -1).
% 0.43/1.14 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/1.14 % set(auto2) -> assign(max_megs, 400).
% 0.43/1.14 % set(auto2) -> assign(stats, some).
% 0.43/1.14 % set(auto2) -> clear(echo_input).
% 0.43/1.14 % set(auto2) -> set(quiet).
% 0.43/1.14 % set(auto2) -> clear(print_initial_clauses).
% 0.43/1.14 % set(auto2) -> clear(print_given).
% 0.43/1.14 assign(lrs_ticks,-1).
% 0.43/1.14 assign(sos_limit,10000).
% 0.43/1.14 assign(order,kbo).
% 0.43/1.14 set(lex_order_vars).
% 0.43/1.14 clear(print_given).
% 0.43/1.14
% 0.43/1.14 % formulas(sos). % not echoed (127 formulas)
% 0.43/1.14
% 0.43/1.14 ============================== end of input ==========================
% 0.43/1.14
% 0.43/1.14 % From the command line: assign(max_seconds, 300).
% 0.43/1.14
% 0.43/1.14 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/1.14
% 0.43/1.14 % Formulas that are not ordinary clauses:
% 0.43/1.14 1 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 2 (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].
% 0.43/1.14 3 (all A all B k2_tarski(A,B) = k2_tarski(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 4 (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].
% 0.43/1.14 5 (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,u2_cat_1(A)) -> k3_isocat_2(A,B,C,D,E) = k1_funct_1(k3_funct_5(D),E))))))))))) # label(d2_isocat_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 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].
% 0.43/1.14 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 (m1_subset_1(E,u2_cat_1(A)) -> k4_isocat_2(A,B,C,D,E) = k7_funct_2(u1_cat_1(B),u2_cat_1(B),u2_cat_1(C),u6_cat_1(B),k3_isocat_2(A,B,C,D,E)))))))))))) # label(d3_isocat_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 8 (all A (l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k5_cat_1(A,B) = k8_funct_2(u1_cat_1(A),u2_cat_1(A),u6_cat_1(A),B))))) # label(d5_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 9 (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].
% 0.43/1.14 10 (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].
% 0.43/1.14 11 (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) -> (all F (m1_nattra_1(F,A,B,C,D) -> (all G (m1_nattra_1(G,A,B,D,E) -> (all H (m1_nattra_1(H,A,B,C,E) -> (H = k6_nattra_1(A,B,C,D,E,F,G) <-> (all I (m1_subset_1(I,u1_cat_1(A)) -> k5_nattra_1(A,B,C,E,H,I) = k9_cat_1(B,k13_cat_1(A,B,C,I),k13_cat_1(A,B,D,I),k13_cat_1(A,B,E,I),k5_nattra_1(A,B,C,D,F,I),k5_nattra_1(A,B,D,E,G,I)))))))))))))))))))))) # label(d6_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 12 (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].
% 0.43/1.14 13 (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) -> (all F (m2_nattra_1(F,A,B,C,D) -> (all G (m2_nattra_1(G,A,B,D,E) -> k8_nattra_1(A,B,C,D,E,F,G) = k6_nattra_1(A,B,C,D,E,F,G)))))))))))))))) # label(d9_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 14 (all A all B (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) -> m1_cat_1(k10_cat_1(A,B),A,B,B))) # label(dt_k10_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 15 (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].
% 0.43/1.14 16 (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].
% 0.43/1.14 17 (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].
% 0.43/1.14 18 (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].
% 0.43/1.14 19 (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,u2_cat_1(A)) & m1_subset_1(D,u2_cat_1(B)) -> m1_subset_1(k13_cat_2(A,B,C,D),u2_cat_1(k11_cat_2(A,B))))) # label(dt_k13_cat_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 20 (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].
% 0.43/1.14 21 (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].
% 0.43/1.14 22 (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].
% 0.43/1.14 23 (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].
% 0.43/1.14 24 (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].
% 0.43/1.14 25 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 26 $T # label(dt_k1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 27 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 28 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 29 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 30 (all A all B (l1_cat_1(A) & m1_subset_1(B,u2_cat_1(A)) -> m1_subset_1(k2_cat_1(A,B),u1_cat_1(A)))) # label(dt_k2_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 31 (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].
% 0.43/1.14 32 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 33 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 34 (all A all B (l1_cat_1(A) & m1_subset_1(B,u2_cat_1(A)) -> m1_subset_1(k3_cat_1(A,B),u1_cat_1(A)))) # label(dt_k3_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 35 (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].
% 0.43/1.14 36 (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].
% 0.43/1.14 37 (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,u2_cat_1(A)) -> v1_funct_1(k3_isocat_2(A,B,C,D,E)) & v1_funct_2(k3_isocat_2(A,B,C,D,E),u2_cat_1(B),u2_cat_1(C)) & m2_relset_1(k3_isocat_2(A,B,C,D,E),u2_cat_1(B),u2_cat_1(C)))) # label(dt_k3_isocat_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 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) & 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].
% 0.43/1.14 39 (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].
% 0.43/1.14 40 (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,u2_cat_1(A)) -> m2_nattra_1(k4_isocat_2(A,B,C,D,E),B,C,k14_cat_2(A,B,C,D,k2_cat_1(A,E)),k14_cat_2(A,B,C,D,k3_cat_1(A,E))))) # label(dt_k4_isocat_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 41 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 42 (all A all B (l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) -> m1_subset_1(k5_cat_1(A,B),u2_cat_1(A)))) # label(dt_k5_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 43 (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].
% 0.43/1.14 44 (all A all B (v1_relat_1(A) & v1_relat_1(B) -> v1_relat_1(k5_relat_1(A,B)))) # label(dt_k5_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 45 (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].
% 0.43/1.14 46 (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) & m1_nattra_1(F,A,B,C,D) & m1_nattra_1(G,A,B,D,E) -> m1_nattra_1(k6_nattra_1(A,B,C,D,E,F,G),A,B,C,E))) # label(dt_k6_nattra_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 47 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_relset_1(D,A,B) & v1_funct_1(E) & v1_funct_2(E,B,C) & m1_relset_1(E,B,C) -> v1_funct_1(k7_funct_2(A,B,C,D,E)) & v1_funct_2(k7_funct_2(A,B,C,D,E),A,C) & m2_relset_1(k7_funct_2(A,B,C,D,E),A,C))) # label(dt_k7_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 48 (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].
% 0.43/1.14 49 (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].
% 0.43/1.14 50 (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].
% 0.43/1.14 51 (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].
% 0.43/1.14 52 $T # label(dt_l1_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 53 (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].
% 0.43/1.14 54 (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].
% 0.43/1.14 55 (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].
% 0.43/1.14 56 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 57 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 58 (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].
% 0.43/1.14 59 (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].
% 0.43/1.14 60 (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].
% 0.43/1.14 61 (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].
% 0.43/1.14 62 (all A (l1_cat_1(A) -> -v1_xboole_0(u1_cat_1(A)))) # label(dt_u1_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 63 (all A (l1_cat_1(A) -> -v1_xboole_0(u2_cat_1(A)))) # label(dt_u2_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 64 (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].
% 0.43/1.14 65 (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].
% 0.43/1.14 66 (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].
% 0.43/1.14 67 (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].
% 0.43/1.14 68 (exists A l1_cat_1(A)) # label(existence_l1_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 69 (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].
% 0.43/1.14 70 (all A all B exists C m1_fraenkel(C,A,B)) # label(existence_m1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 71 (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].
% 0.43/1.14 72 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 73 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 74 (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].
% 0.43/1.14 75 (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].
% 0.43/1.14 76 (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].
% 0.43/1.14 77 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 78 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 79 (all A -v1_xboole_0(k1_tarski(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 80 (all A all B -v1_xboole_0(k2_tarski(A,B))) # label(fc3_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 81 (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].
% 0.43/1.14 82 (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].
% 0.43/1.14 83 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 84 (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].
% 0.43/1.14 85 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 86 (all A all B (v2_cat_1(A) & l1_cat_1(A) & m1_subset_1(B,u1_cat_1(A)) -> k10_cat_1(A,B) = k5_cat_1(A,B))) # label(redefinition_k10_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 87 (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].
% 0.43/1.14 88 (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].
% 0.43/1.14 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) & m1_subset_1(C,u2_cat_1(A)) & m1_subset_1(D,u2_cat_1(B)) -> k13_cat_2(A,B,C,D) = k4_tarski(C,D))) # label(redefinition_k13_cat_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 90 (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].
% 0.43/1.14 91 (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].
% 0.43/1.14 92 (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].
% 0.43/1.14 93 (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].
% 0.43/1.14 94 (all A all B all C all D all E (-v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,A,B) & m1_relset_1(D,A,B) & v1_funct_1(E) & v1_funct_2(E,B,C) & m1_relset_1(E,B,C) -> k7_funct_2(A,B,C,D,E) = k5_relat_1(D,E))) # label(redefinition_k7_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.14 95 (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].
% 0.43/1.14 96 (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].
% 0.43/1.14 97 (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].
% 0.43/1.14 98 (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].
% 0.43/1.14 99 (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].
% 0.43/1.14 100 (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].
% 0.43/1.15 101 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.15 102 (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].
% 0.43/1.15 103 (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].
% 0.43/1.15 104 (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].
% 0.43/1.15 105 (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,u2_cat_1(A)) -> r2_nattra_1(B,C,k14_cat_2(A,B,C,D,k2_cat_1(A,E)),k14_cat_2(A,B,C,D,k3_cat_1(A,E))))))))))))) # label(t18_isocat_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.15 106 (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) -> (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].
% 0.43/1.15 107 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.15 108 (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].
% 0.43/1.15 109 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (all E (v1_relat_1(E) & v1_funct_1(E) -> (r2_hidden(C,A) -> B = k1_xboole_0 | k1_funct_1(k5_relat_1(D,E),C) = k1_funct_1(E,k1_funct_1(D,C))))))) # label(t21_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.15 110 (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].
% 0.43/1.15 111 (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].
% 0.43/1.15 112 (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,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(B)) -> k2_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,C,D)) = k12_cat_2(A,B,k2_cat_1(A,C),k2_cat_1(B,D)) & k3_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,C,D)) = k12_cat_2(A,B,k3_cat_1(A,C),k3_cat_1(B,D)))))))))) # label(t38_cat_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.15 113 (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].
% 0.43/1.15 114 (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].
% 0.43/1.15 115 (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,u2_cat_1(A)) -> (all D (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(B)) -> (all F (m1_subset_1(F,u2_cat_1(B)) -> (k2_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,D,F)) = k3_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,C,E)) -> k4_cat_1(k11_cat_2(A,B),k13_cat_2(A,B,C,E),k13_cat_2(A,B,D,F)) = k13_cat_2(A,B,k4_cat_1(A,C,D),k4_cat_1(B,E,F))))))))))))))) # label(t40_cat_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.15 116 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u2_cat_1(A)) -> (all C (m1_subset_1(C,u2_cat_1(A)) -> (k2_cat_1(A,C) = k3_cat_1(A,B) -> k2_cat_1(A,k4_cat_1(A,B,C)) = k2_cat_1(A,B) & k3_cat_1(A,k4_cat_1(A,B,C)) = k3_cat_1(A,C)))))))) # label(t42_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.15 117 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k2_cat_1(A,k5_cat_1(A,B)) = B & k3_cat_1(A,k5_cat_1(A,B)) = B)))) # label(t44_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.15 118 (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].
% 0.43/1.15 119 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k6_cat_1(A,B,B) != k1_xboole_0)))) # label(t56_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.15 120 (all A (v2_cat_1(A) & l1_cat_1(A) -> (all B (m1_subset_1(B,u1_cat_1(A)) -> k9_cat_1(A,B,B,B,k10_cat_1(A,B),k10_cat_1(A,B)) = k10_cat_1(A,B))))) # label(t59_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.15 121 (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].
% 0.43/1.15 122 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.15 123 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.15 124 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.15 125 (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 (m1_subset_1(D,u2_cat_1(A)) -> (all E (m1_subset_1(E,u2_cat_1(A)) -> (k2_cat_1(A,E) = k3_cat_1(A,D) -> k2_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E)) = k3_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D)) & k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,k4_cat_1(A,D,E)) = k4_cat_1(B,k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,D),k8_funct_2(u2_cat_1(A),u2_cat_1(B),C,E))))))))))))) # label(t99_cat_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.15 126 -(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,u2_cat_1(A)) -> (all F (m1_subset_1(F,u2_cat_1(A)) -> (k2_cat_1(A,E) = k3_cat_1(A,F) -> (all G (m2_nattra_1(G,B,C,k14_cat_2(A,B,C,D,k2_cat_1(A,F)),k14_cat_2(A,B,C,D,k2_cat_1(A,E))) -> (r4_nattra_1(u1_cat_1(B),u2_cat_1(C),u1_cat_1(B),u2_cat_1(C),G,k4_isocat_2(A,B,C,D,F)) -> r4_nattra_1(u1_cat_1(B),u2_cat_1(C),u1_cat_1(B),u2_cat_1(C),k4_isocat_2(A,B,C,D,k4_cat_1(A,F,E)),k8_nattra_1(B,C,k14_cat_2(A,B,C,D,k2_cat_1(A,F)),k14_cat_2(A,B,C,D,k2_cat_1(A,E)),k14_cat_2(A,B,C,D,k3_cat_1(A,E)),G,k4_isocat_2(A,B,C,D,E))))))))))))))))))) # label(t21_isocat_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.43/1.15
% 0.43/1.15 ============================== end of process non-clausal formulas ===
% 0.43/1.15
% 0.43/1.15 ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/1.15
% 0.43/1.15 ============================== PREDICATE ELIMINATION =================
% 0.43/1.15 127 v1_xboole_0(A) | m1_fraenkel(k1_fraenkel(B,A),B,A) # label(dt_k1_fraenkel) # label(axiom). [clausify(24)].
% 0.43/1.15 128 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(22)].
% 0.43/1.15 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(127,b,128,c)].
% 0.43/1.15 129 -m1_fraenkel(A,B,C) | -v1_xboole_0(A) # label(dt_m1_fraenkel) # label(axiom). [clausify(54)].
% 0.43/1.15 Derived: -v1_xboole_0(k1_fraenkel(A,B)) | v1_xboole_0(B). [resolve(129,a,127,b)].
% 0.43/1.15 130 -m1_fraenkel(A,B,C) | v1_fraenkel(A) # label(dt_m1_fraenkel) # label(axiom). [clausify(54)].
% 0.43/1.15 Derived: v1_fraenkel(k1_fraenkel(A,B)) | v1_xboole_0(B). [resolve(130,a,127,b)].
% 0.43/1.15 131 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(59)].
% 0.43/1.15 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | v1_funct_1(B) | v1_xboole_0(A). [resolve(131,b,127,b)].
% 0.43/1.15 132 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(59)].
% 0.43/1.15 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(132,b,127,b)].
% 0.43/1.15 133 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(59)].
% 0.43/1.15 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(133,b,127,b)].
% 0.43/1.15 134 m1_fraenkel(f8(A,B),A,B) # label(existence_m1_fraenkel) # label(axiom). [clausify(70)].
% 0.43/1.15 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_1(C) | -v1_funct_2(C,A,f8(D,B)) | -m1_relset_1(C,A,f8(D,B)) | -m1_subset_1(E,A) | m2_fraenkel(k1_cat_2(A,D,B,f8(D,B),C,E),D,B,f8(D,B)). [resolve(134,a,128,c)].
% 0.43/1.15 Derived: -v1_xboole_0(f8(A,B)). [resolve(134,a,129,a)].
% 0.43/1.15 Derived: v1_fraenkel(f8(A,B)). [resolve(134,a,130,a)].
% 0.43/1.15 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f8(C,A)) | v1_funct_1(B). [resolve(134,a,131,b)].
% 0.43/1.15 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f8(C,A)) | v1_funct_2(B,C,A). [resolve(134,a,132,b)].
% 0.43/1.15 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f8(C,A)) | m2_relset_1(B,C,A). [resolve(134,a,133,b)].
% 0.43/1.15 135 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | m2_fraenkel(f13(C,A,B),C,A,B) # label(existence_m2_fraenkel) # label(axiom). [clausify(75)].
% 0.43/1.15 Derived: v1_xboole_0(A) | m2_fraenkel(f13(B,A,k1_fraenkel(B,A)),B,A,k1_fraenkel(B,A)) | v1_xboole_0(A). [resolve(135,b,127,b)].
% 0.43/1.15 Derived: v1_xboole_0(A) | m2_fraenkel(f13(B,A,f8(B,A)),B,A,f8(B,A)). [resolve(135,b,134,a)].
% 0.43/1.15 136 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_cat_2(A,D,B,C,E,F) = k1_funct_1(E,F) # label(redefinition_k1_cat_2) # label(axiom). [clausify(90)].
% 0.43/1.15 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_cat_2(A,D,B,k1_fraenkel(D,B),C,E) = k1_funct_1(C,E) | v1_xboole_0(B). [resolve(136,c,127,b)].
% 0.43/1.15 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_1(C) | -v1_funct_2(C,A,f8(D,B)) | -m1_relset_1(C,A,f8(D,B)) | -m1_subset_1(E,A) | k1_cat_2(A,D,B,f8(D,B),C,E) = k1_funct_1(C,E). [resolve(136,c,134,a)].
% 0.43/1.15 137 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(97)].
% 0.43/1.15 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | m1_subset_1(B,k1_fraenkel(C,A)) | v1_xboole_0(A). [resolve(137,b,127,b)].
% 0.43/1.15 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f8(C,A)) | m1_subset_1(B,f8(C,A)). [resolve(137,b,134,a)].
% 0.43/1.15 138 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | m2_fraenkel(D,C,A,B) | -m1_subset_1(Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------