TSTP Solution File: GRP634+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP634+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n017.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 : Sat Jul 16 11:20:03 EDT 2022
% Result : Timeout 300.05s 300.32s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP634+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n017.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 : Mon Jun 13 21:24:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.83/1.10 ============================== Prover9 ===============================
% 0.83/1.10 Prover9 (32) version 2009-11A, November 2009.
% 0.83/1.10 Process 23513 was started by sandbox2 on n017.cluster.edu,
% 0.83/1.10 Mon Jun 13 21:24:09 2022
% 0.83/1.10 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_23359_n017.cluster.edu".
% 0.83/1.10 ============================== end of head ===========================
% 0.83/1.10
% 0.83/1.10 ============================== INPUT =================================
% 0.83/1.10
% 0.83/1.10 % Reading from file /tmp/Prover9_23359_n017.cluster.edu
% 0.83/1.10
% 0.83/1.10 set(prolog_style_variables).
% 0.83/1.10 set(auto2).
% 0.83/1.10 % set(auto2) -> set(auto).
% 0.83/1.10 % set(auto) -> set(auto_inference).
% 0.83/1.10 % set(auto) -> set(auto_setup).
% 0.83/1.10 % set(auto_setup) -> set(predicate_elim).
% 0.83/1.10 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.83/1.10 % set(auto) -> set(auto_limits).
% 0.83/1.10 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.83/1.10 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.83/1.10 % set(auto) -> set(auto_denials).
% 0.83/1.10 % set(auto) -> set(auto_process).
% 0.83/1.10 % set(auto2) -> assign(new_constants, 1).
% 0.83/1.10 % set(auto2) -> assign(fold_denial_max, 3).
% 0.83/1.10 % set(auto2) -> assign(max_weight, "200.000").
% 0.83/1.10 % set(auto2) -> assign(max_hours, 1).
% 0.83/1.10 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.83/1.10 % set(auto2) -> assign(max_seconds, 0).
% 0.83/1.10 % set(auto2) -> assign(max_minutes, 5).
% 0.83/1.10 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.83/1.10 % set(auto2) -> set(sort_initial_sos).
% 0.83/1.10 % set(auto2) -> assign(sos_limit, -1).
% 0.83/1.10 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.83/1.10 % set(auto2) -> assign(max_megs, 400).
% 0.83/1.10 % set(auto2) -> assign(stats, some).
% 0.83/1.10 % set(auto2) -> clear(echo_input).
% 0.83/1.10 % set(auto2) -> set(quiet).
% 0.83/1.10 % set(auto2) -> clear(print_initial_clauses).
% 0.83/1.10 % set(auto2) -> clear(print_given).
% 0.83/1.10 assign(lrs_ticks,-1).
% 0.83/1.10 assign(sos_limit,10000).
% 0.83/1.10 assign(order,kbo).
% 0.83/1.10 set(lex_order_vars).
% 0.83/1.10 clear(print_given).
% 0.83/1.10
% 0.83/1.10 % formulas(sos). % not echoed (102 formulas)
% 0.83/1.10
% 0.83/1.10 ============================== end of input ==========================
% 0.83/1.10
% 0.83/1.10 % From the command line: assign(max_seconds, 300).
% 0.83/1.10
% 0.83/1.10 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.83/1.10
% 0.83/1.10 % Formulas that are not ordinary clauses:
% 0.83/1.10 1 (all A (l1_group_1(A) -> (v1_group_1(A) -> A = g1_group_1(u1_struct_0(A),u1_group_1(A))))) # label(abstractness_v1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 3 (all A (v1_fraenkel(A) -> (all B (m1_subset_1(B,A) -> v1_relat_1(B) & v1_funct_1(B))))) # label(cc1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 4 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 5 (all A all B all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v1_partfun1(C,A,B) -> v1_funct_1(C) & v1_funct_2(C,A,B)))) # label(cc1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 6 (all A (l1_group_1(A) -> (-v3_struct_0(A) & v3_group_1(A) -> -v3_struct_0(A) & v2_group_1(A)))) # label(cc1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 7 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> v4_group_1(B))))) # label(cc1_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 8 (all A (v1_relat_1(A) & v3_relat_2(A) & v8_relat_2(A) -> v1_relat_1(A) & v1_relat_2(A))) # label(cc1_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 9 (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].
% 0.83/1.10 10 (all A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A) -> v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 11 (all A all B all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v1_funct_2(C,A,B) & v3_funct_2(C,A,B) -> v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,A,B) & v2_funct_2(C,A,B)))) # label(cc2_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 12 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> v4_group_1(B) & v7_group_1(B))))) # label(cc2_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 13 (all A all B all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v2_funct_1(C) & v1_funct_2(C,A,B) & v2_funct_2(C,A,B) -> v1_funct_1(C) & v1_funct_2(C,A,B) & v3_funct_2(C,A,B)))) # label(cc3_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 14 (all A all B (m1_relset_1(B,A,A) -> (v1_funct_1(B) & v1_partfun1(B,A,A) & v1_relat_2(B) & v1_funct_2(B,A,A) -> v1_funct_1(B) & v2_funct_1(B) & v1_funct_2(B,A,A) & v2_funct_2(B,A,A) & v3_funct_2(B,A,A)))) # label(cc4_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 15 (all A all B (-v1_xboole_0(B) -> (all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v1_funct_2(C,A,B) -> v1_funct_1(C) & v1_partfun1(C,A,B) & v1_funct_2(C,A,B)))))) # label(cc5_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 16 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> (all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v1_funct_2(C,A,B) -> v1_funct_1(C) & -v1_xboole_0(C) & v1_partfun1(C,A,B) & v1_funct_2(C,A,B)))))) # label(cc6_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 17 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> k3_autgroup(A) = g1_group_1(k1_autgroup(A),k2_autgroup(A)))) # label(d3_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 18 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_fraenkel(B,u1_struct_0(A),u1_struct_0(A)) -> (B = k4_autgroup(A) <-> (all C (m2_fraenkel(C,u1_struct_0(A),u1_struct_0(A),k1_fraenkel(u1_struct_0(A),u1_struct_0(A))) -> (r2_hidden(C,B) <-> (exists D (m1_subset_1(D,u1_struct_0(A)) & (all E (m1_subset_1(E,u1_struct_0(A)) -> k8_funct_2(u1_struct_0(A),u1_struct_0(A),C,E) = k2_group_3(A,E,D))))))))))))) # label(d4_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 19 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_1(B) & v1_group_3(B,k3_autgroup(A)) & m1_group_2(B,k3_autgroup(A)) -> (B = k5_autgroup(A) <-> u1_struct_0(B) = k4_autgroup(A)))))) # label(d5_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 20 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> v1_group_1(g1_group_1(A,B)) & l1_group_1(g1_group_1(A,B)))) # label(dt_g1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 21 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> m1_fraenkel(k1_autgroup(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k1_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 22 (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].
% 0.83/1.10 23 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 24 $T # label(dt_k1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 25 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 26 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 27 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> v1_funct_1(k2_autgroup(A)) & v1_funct_2(k2_autgroup(A),k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A)) & m2_relset_1(k2_autgroup(A),k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A)))) # label(dt_k2_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 28 (all A (-v3_struct_0(A) & l1_group_1(A) -> m1_subset_1(k2_group_1(A),u1_struct_0(A)))) # label(dt_k2_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 29 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k2_group_3(A,B,C),u1_struct_0(A)))) # label(dt_k2_group_3) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 30 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 31 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> -v3_struct_0(k3_autgroup(A)) & v1_group_1(k3_autgroup(A)) & v3_group_1(k3_autgroup(A)) & v4_group_1(k3_autgroup(A)) & l1_group_1(k3_autgroup(A)))) # label(dt_k3_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 32 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> m1_fraenkel(k4_autgroup(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_k4_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 33 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> v1_group_1(k5_autgroup(A)) & v1_group_3(k5_autgroup(A),k3_autgroup(A)) & m1_group_2(k5_autgroup(A),k3_autgroup(A)))) # label(dt_k5_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 34 (all A (v1_partfun1(k6_partfun1(A),A,A) & m2_relset_1(k6_partfun1(A),A,A))) # label(dt_k6_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 35 (all A v1_relat_1(k6_relat_1(A))) # label(dt_k6_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 36 (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].
% 0.83/1.10 37 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 38 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 39 (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].
% 0.83/1.10 40 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> -v3_struct_0(B) & v3_group_1(B) & l1_group_1(B))))) # label(dt_m1_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 41 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 42 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 43 (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].
% 0.83/1.10 44 (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].
% 0.83/1.10 45 (all A (l1_group_1(A) -> v1_funct_1(u1_group_1(A)) & v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 46 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 47 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 48 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 49 (all A all B exists C m1_fraenkel(C,A,B)) # label(existence_m1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 50 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) -> (exists B m1_group_2(B,A)))) # label(existence_m1_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 51 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 52 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 53 (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].
% 0.83/1.10 54 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 55 (all A all B v1_fraenkel(k1_funct_2(A,B))) # label(fc1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 56 (all A all B (-v1_xboole_0(B) -> -v1_xboole_0(k1_funct_2(A,B)))) # label(fc1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 57 (all A all B (-v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> -v3_struct_0(g1_group_1(A,B)) & v1_group_1(g1_group_1(A,B)))) # label(fc1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 58 (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].
% 0.83/1.10 59 (all A (v1_relat_1(k6_relat_1(A)) & v1_funct_1(k6_relat_1(A)))) # label(fc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 60 (all A -v1_xboole_0(k1_funct_2(A,A))) # label(fc2_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 61 (all A (v1_relat_1(k6_relat_1(A)) & v1_funct_1(k6_relat_1(A)) & v1_relat_2(k6_relat_1(A)) & v3_relat_2(k6_relat_1(A)) & v4_relat_2(k6_relat_1(A)) & v8_relat_2(k6_relat_1(A)))) # label(fc2_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 62 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> (all C all D (g1_group_1(A,B) = g1_group_1(C,D) -> A = C & B = D)))) # label(free_g1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 63 (exists A (-v1_xboole_0(A) & v1_fraenkel(A))) # label(rc1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 64 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 65 (all A all B exists C (m1_relset_1(C,A,B) & v1_relat_1(C) & v1_funct_1(C) & v1_funct_2(C,A,B))) # label(rc1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 66 (exists A (l1_group_1(A) & v1_group_1(A))) # label(rc1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 67 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (exists B (m1_group_2(B,A) & -v3_struct_0(B) & v1_group_1(B) & v2_group_1(B) & v3_group_1(B) & v4_group_1(B))))) # label(rc1_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 68 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (exists B (m1_group_2(B,A) & -v3_struct_0(B) & v1_group_1(B) & v2_group_1(B) & v3_group_1(B) & v4_group_1(B) & v1_group_3(B,A))))) # label(rc1_group_3) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 69 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_xboole_0(A))) # label(rc1_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 70 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 71 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 72 (all A exists B (m1_relset_1(B,A,A) & v1_relat_1(B) & v1_funct_1(B) & v2_funct_1(B) & v1_funct_2(B,A,A) & v2_funct_2(B,A,A) & v3_funct_2(B,A,A))) # label(rc2_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 73 (exists A (l1_group_1(A) & -v3_struct_0(A) & v1_group_1(A))) # label(rc2_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 74 (all A all B exists C (m1_relset_1(C,A,B) & v1_relat_1(C) & v1_funct_1(C))) # label(rc2_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 75 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 76 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 77 (exists A (l1_group_1(A) & -v3_struct_0(A) & v1_group_1(A) & v2_group_1(A) & v3_group_1(A) & v4_group_1(A))) # label(rc3_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 78 (all A exists B (m1_relset_1(B,A,A) & v1_relat_1(B) & v1_relat_2(B) & v3_relat_2(B) & v4_relat_2(B) & v8_relat_2(B) & v1_partfun1(B,A,A))) # label(rc3_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 79 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 80 (exists A (l1_group_1(A) & -v3_struct_0(A) & v1_group_1(A) & v2_group_1(A) & v3_group_1(A) & v4_group_1(A) & v7_group_1(A))) # label(rc4_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 81 (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].
% 0.83/1.10 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].
% 0.83/1.10 83 (all A k6_partfun1(A) = k6_relat_1(A)) # label(redefinition_k6_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 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].
% 0.83/1.10 85 (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].
% 0.83/1.10 86 (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].
% 0.83/1.10 87 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 88 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> (all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> ((all E (m1_subset_1(E,A) -> k1_funct_1(C,E) = k1_funct_1(D,E))) -> C = D))))) # label(t113_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 89 (all A all B all C (v1_funct_1(C) & v1_funct_2(C,A,B) & m2_relset_1(C,A,B) -> ((B = k1_xboole_0 -> A = k1_xboole_0) -> r2_hidden(C,k1_funct_2(A,B))))) # label(t11_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 90 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 91 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> k6_partfun1(u1_struct_0(A)) = k2_group_1(k5_autgroup(A)))) # label(t21_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 92 (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].
% 0.83/1.10 93 (all A all B (r2_hidden(B,A) -> k1_funct_1(k6_relat_1(A),B) = B)) # label(t35_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 94 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(A) -> k2_group_3(A,B,C) = B))))))) # label(t35_group_3) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 95 (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].
% 0.83/1.10 96 (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].
% 0.83/1.10 97 (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].
% 0.83/1.10 98 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 99 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 100 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.10 101 -(all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & v7_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(k5_autgroup(A))) -> B = k2_group_1(k5_autgroup(A))))))) # label(t32_autgroup) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.83/1.10
% 0.83/1.10 ============================== end of process non-clausal formulas ===
% 0.83/1.10
% 0.83/1.10 ============================== PROCESS INITIAL CLAUSES ===============
% 0.83/1.11
% 0.83/1.11 ============================== PREDICATE ELIMINATION =================
% 0.83/1.11 102 -m1_fraenkel(A,B,C) | v1_fraenkel(A) # label(dt_m1_fraenkel) # label(axiom). [clausify(39)].
% 0.83/1.11 103 -v1_fraenkel(A) | -m1_subset_1(B,A) | v1_relat_1(B) # label(cc1_fraenkel) # label(axiom). [clausify(3)].
% 0.83/1.11 104 -v1_fraenkel(A) | -m1_subset_1(B,A) | v1_funct_1(B) # label(cc1_fraenkel) # label(axiom). [clausify(3)].
% 0.83/1.11 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_relat_1(D). [resolve(102,b,103,a)].
% 0.83/1.11 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_funct_1(D). [resolve(102,b,104,a)].
% 0.83/1.11 105 v1_fraenkel(k1_funct_2(A,B)) # label(fc1_fraenkel) # label(axiom). [clausify(55)].
% 0.83/1.11 Derived: -m1_subset_1(A,k1_funct_2(B,C)) | v1_relat_1(A). [resolve(105,a,103,a)].
% 0.83/1.11 Derived: -m1_subset_1(A,k1_funct_2(B,C)) | v1_funct_1(A). [resolve(105,a,104,a)].
% 0.83/1.11 106 v1_fraenkel(c3) # label(rc1_fraenkel) # label(axiom). [clausify(63)].
% 0.83/1.11 Derived: -m1_subset_1(A,c3) | v1_relat_1(A). [resolve(106,a,103,a)].
% 0.83/1.11 Derived: -m1_subset_1(A,c3) | v1_funct_1(A). [resolve(106,a,104,a)].
% 0.83/1.11 107 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_relat_1(A) # label(cc1_relset_1) # label(axiom). [clausify(9)].
% 0.83/1.11 108 -v1_relat_1(A) | -v3_relat_2(A) | -v8_relat_2(A) | v1_relat_2(A) # label(cc1_partfun1) # label(axiom). [clausify(8)].
% 0.83/1.11 Derived: -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | -v3_relat_2(A) | -v8_relat_2(A) | v1_relat_2(A). [resolve(107,b,108,a)].
% 0.83/1.11 109 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(10)].
% 0.83/1.11 Derived: -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(109,a,107,b)].
% 0.83/1.11 110 v1_relat_1(k6_relat_1(A)) # label(dt_k6_relat_1) # label(axiom). [clausify(35)].
% 0.83/1.11 Derived: -v1_xboole_0(k6_relat_1(A)) | -v1_funct_1(k6_relat_1(A)) | v2_funct_1(k6_relat_1(A)). [resolve(110,a,109,a)].
% 0.83/1.11 111 v1_relat_1(k6_relat_1(A)) # label(fc2_funct_1) # label(axiom). [clausify(59)].
% 0.83/1.11 112 v1_relat_1(k6_relat_1(A)) # label(fc2_partfun1) # label(axiom). [clausify(61)].
% 0.83/1.11 113 v1_relat_1(c4) # label(rc1_funct_1) # label(axiom). [clausify(64)].
% 0.83/1.11 Derived: -v3_relat_2(c4) | -v8_relat_2(c4) | v1_relat_2(c4). [resolve(113,a,108,a)].
% 0.83/1.11 Derived: -v1_xboole_0(c4) | -v1_funct_1(c4) | v2_funct_1(c4). [resolve(113,a,109,a)].
% 0.83/1.11 114 v1_relat_1(f12(A,B)) # label(rc1_funct_2) # label(axiom). [clausify(65)].
% 0.83/1.11 Derived: -v3_relat_2(f12(A,B)) | -v8_relat_2(f12(A,B)) | v1_relat_2(f12(A,B)). [resolve(114,a,108,a)].
% 0.83/1.11 Derived: -v1_xboole_0(f12(A,B)) | -v1_funct_1(f12(A,B)) | v2_funct_1(f12(A,B)). [resolve(114,a,109,a)].
% 0.83/1.11 115 v1_relat_1(c6) # label(rc1_partfun1) # label(axiom). [clausify(69)].
% 0.83/1.11 Derived: -v3_relat_2(c6) | -v8_relat_2(c6) | v1_relat_2(c6). [resolve(115,a,108,a)].
% 0.83/1.11 116 v1_relat_1(c8) # label(rc2_funct_1) # label(axiom). [clausify(71)].
% 0.83/1.11 Derived: -v3_relat_2(c8) | -v8_relat_2(c8) | v1_relat_2(c8). [resolve(116,a,108,a)].
% 0.83/1.11 Derived: -v1_xboole_0(c8) | -v1_funct_1(c8) | v2_funct_1(c8). [resolve(116,a,109,a)].
% 0.83/1.11 117 v1_relat_1(f15(A)) # label(rc2_funct_2) # label(axiom). [clausify(72)].
% 0.83/1.11 Derived: -v3_relat_2(f15(A)) | -v8_relat_2(f15(A)) | v1_relat_2(f15(A)). [resolve(117,a,108,a)].
% 0.83/1.11 118 v1_relat_1(f16(A,B)) # label(rc2_partfun1) # label(axiom). [clausify(74)].
% 0.83/1.11 Derived: -v3_relat_2(f16(A,B)) | -v8_relat_2(f16(A,B)) | v1_relat_2(f16(A,B)). [resolve(118,a,108,a)].
% 0.83/1.11 Derived: -v1_xboole_0(f16(A,B)) | -v1_funct_1(f16(A,B)) | v2_funct_1(f16(A,B)). [resolve(118,a,109,a)].
% 0.83/1.11 119 v1_relat_1(c11) # label(rc3_funct_1) # label(axiom). [clausify(76)].
% 0.83/1.11 Derived: -v3_relat_2(c11) | -v8_relat_2(c11) | v1_relat_2(c11). [resolve(119,a,108,a)].
% 0.83/1.11 120 v1_relat_1(f17(A)) # label(rc3_partfun1) # label(axiom). [clausify(78)].
% 0.83/1.11 Derived: -v1_xboole_0(f17(A)) | -v1_funct_1(f17(A)) | v2_funct_1(f17(A)). [resolve(120,a,109,a)].
% 0.83/1.11 121 -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_relat_1(D). [resolve(102,b,103,a)].
% 0.83/1.11 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | -v3_relat_2(D) | -v8_relat_2(D) | v1_relat_2(D). [resolve(121,c,108,a)].
% 0.83/1.11 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | -v1_xboole_0(D) | -v1_funct_1(D) | v2_funct_1(D). [resolve(121,c,109,a)].
% 0.83/1.12 122 -m1_subset_1(A,k1_funct_2(B,C)) | v1_relat_1(A). [resolve(105,a,103,a)].
% 0.83/1.12 Derived: -m1_subset_1(A,k1_funct_2(B,C)) | -v3_relat_2(A) | -v8_relat_2(A) | v1_relat_2(A). [resolve(122,b,108,a)].
% 0.83/1.12 Derived: -m1_subset_1(A,k1_funct_2(B,C)) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A). [resolve(122,b,109,a)].
% 0.83/1.12 123 -m1_subset_1(A,c3) | v1_relat_1(A). [resolve(106,a,103,a)].
% 0.83/1.12 Derived: -m1_subset_1(A,c3) | -v3_relat_2(A) | -v8_relat_2(A) | v1_relat_2(A). [resolve(123,b,108,a)].
% 0.83/1.12 Derived: -m1_subset_1(A,c3) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A). [resolve(123,b,109,a)].
% 0.83/1.12 124 -m1_relset_1(A,B,C) | -v1_funct_1(A) | -v2_funct_1(A) | -v1_funct_2(A,B,C) | -v2_funct_2(A,B,C) | v3_funct_2(A,B,C) # label(cc3_funct_2) # label(axiom). [clausify(13)].
% 0.83/1.12 125 -m1_relset_1(A,B,C) | -v1_funct_1(A) | -v1_funct_2(A,B,C) | -v3_funct_2(A,B,C) | v2_funct_1(A) # label(cc2_funct_2) # label(axiom). [clausify(11)].
% 0.83/1.12 126 -m1_relset_1(A,B,C) | -v1_funct_1(A) | -v1_funct_2(A,B,C) | -v3_funct_2(A,B,C) | v2_funct_2(A,B,C) # label(cc2_funct_2) # label(axiom). [clausify(11)].
% 0.83/1.12 127 -m1_relset_1(A,B,B) | -v1_funct_1(A) | -v1_partfun1(A,B,B) | -v1_relat_2(A) | -v1_funct_2(A,B,B) | v3_funct_2(A,B,B) # label(cc4_funct_2) # label(axiom). [clausify(14)].
% 0.83/1.12 Derived: -m1_relset_1(A,B,B) | -v1_funct_1(A) | -v1_partfun1(A,B,B) | -v1_relat_2(A) | -v1_funct_2(A,B,B) | -m1_relset_1(A,B,B) | -v1_funct_1(A) | -v1_funct_2(A,B,B) | v2_funct_1(A). [resolve(127,f,125,d)].
% 0.83/1.12 Derived: -m1_relset_1(A,B,B) | -v1_funct_1(A) | -v1_partfun1(A,B,B) | -v1_relat_2(A) | -v1_funct_2(A,B,B) | -m1_relset_1(A,B,B) | -v1_funct_1(A) | -v1_funct_2(A,B,B) | v2_funct_2(A,B,B). [resolve(127,f,126,d)].
% 0.83/1.12 128 v3_funct_2(f15(A),A,A) # label(rc2_funct_2) # label(axiom). [clausify(72)].
% 0.83/1.12 Derived: -m1_relset_1(f15(A),A,A) | -v1_funct_1(f15(A)) | -v1_funct_2(f15(A),A,A) | v2_funct_1(f15(A)). [resolve(128,a,125,d)].
% 0.83/1.12 Derived: -m1_relset_1(f15(A),A,A) | -v1_funct_1(f15(A)) | -v1_funct_2(f15(A),A,A) | v2_funct_2(f15(A),A,A). [resolve(128,a,126,d)].
% 0.83/1.12 129 v1_relat_2(k6_relat_1(A)) # label(fc2_partfun1) # label(axiom). [clausify(61)].
% 0.83/1.12 130 -m1_relset_1(A,B,B) | -v1_funct_1(A) | -v1_partfun1(A,B,B) | -v1_relat_2(A) | -v1_funct_2(A,B,B) | v2_funct_1(A) # label(cc4_funct_2) # label(axiom). [clausify(14)].
% 0.83/1.12 131 -m1_relset_1(A,B,B) | -v1_funct_1(A) | -v1_partfun1(A,B,B) | -v1_relat_2(A) | -v1_funct_2(A,B,B) | v2_funct_2(A,B,B) # label(cc4_funct_2) # label(axiom). [clausify(14)].
% 0.83/1.12 Derived: -m1_relset_1(k6_relat_1(A),B,B) | -v1_funct_1(k6_relat_1(A)) | -v1_partfun1(k6_relat_1(A),B,B) | -v1_funct_2(k6_relat_1(A),B,B) | v2_funct_1(k6_relat_1(A)). [resolve(129,a,130,d)].
% 0.83/1.12 Derived: -m1_relset_1(k6_relat_1(A),B,B) | -v1_funct_1(k6_relat_1(A)) | -v1_partfun1(k6_relat_1(A),B,B) | -v1_funct_2(k6_relat_1(A),B,B) | v2_funct_2(k6_relat_1(A),B,B). [resolve(129,a,131,d)].
% 0.83/1.12 132 v1_relat_2(f17(A)) # label(rc3_partfun1) # label(axiom). [clausify(78)].
% 0.83/1.12 Derived: -m1_relset_1(f17(A),B,B) | -v1_funct_1(f17(A)) | -v1_partfun1(f17(A),B,B) | -v1_funct_2(f17(A),B,B) | v2_funct_1(f17(A)). [resolve(132,a,130,d)].
% 0.83/1.12 Derived: -m1_relset_1(f17(A),B,B) | -v1_funct_1(f17(A)) | -v1_partfun1(f17(A),B,B) | -v1_funct_2(f17(A),B,B) | v2_funct_2(f17(A),B,B). [resolve(132,a,131,d)].
% 0.83/1.12 133 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | -v3_relat_2(A) | -v8_relat_2(A) | v1_relat_2(A). [resolve(107,b,108,a)].
% 0.83/1.12 Derived: -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | -v3_relat_2(A) | -v8_relat_2(A) | -m1_relset_1(A,D,D) | -v1_funct_1(A) | -v1_partfun1(A,D,D) | -v1_funct_2(A,D,D) | v2_funct_1(A). [resolve(133,d,130,d)].
% 0.83/1.12 Derived: -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | -v3_relat_2(A) | -v8_relat_2(A) | -m1_relset_1(A,D,D) | -v1_funct_1(A) | -v1_partfun1(A,D,D) | -v1_funct_2(A,D,D) | v2_funct_2(A,D,D). [resolve(133,d,131,d)].
% 0.83/1.12 134 -v3_relat_2(c4) | -v8_relat_2(c4) | v1_relat_2(c4). [resolve(113,a,108,a)].
% 0.83/1.12 Derived: -v3_relat_2(c4) | -v8_relat_2(c4) | -m1_relset_1(c4,A,A) | -v1_funct_1(c4) | -v1_partfun1(c4,A,A) | -v1_funct_2(c4,A,A) | v2_funct_1(c4). [resolve(134,c,130,d)].
% 0.83/1.12 Derived: -v3_relat_2(c4) | -v8_relat_2(c4) | -m1_relset_1(c4,A,A) | -v1_funct_1(c4) | -v1_partfun1(c4,A,A) | -v1_funct_2(c4,A,A) | v2_funct_2(c4,A,A). [resolve(134,c,131,d)].
% 0.83/1.12 135 -v3_relat_2(f12(A,B)) | -v8_relat_2(f12(A,B)) | v1_relat_2(f12(A,B)). [resolve(114,a,108,a)].
% 0.83/1.12 Derived: -v3_relat_2(f12(A,B)) | -v8_relat_2(f12(A,B)) | -m1_relset_1(f12(A,B),C,C) | -v1_funct_1(f12(A,B)) | -v1_partfun1(f12(A,B),C,C) | -v1_funct_2(f12(A,B),C,C) | v2_funct_1(f12(A,B)). [resolve(135,c,130,d)].
% 0.83/1.12 Derived: -v3_relat_2(f12(A,B)) | -v8_relat_2(f12(A,B)) | -m1_relset_1(f12(A,B),C,C) | -v1_funct_1(f12(A,B)) | -v1_partfun1(f12(A,B),C,C) | -v1_funct_2(f12(A,B),C,C) | v2_funct_2(f12(A,B),C,C). [resolve(135,c,131,d)].
% 0.83/1.12 136 -v3_relat_2(c6) | -v8_relat_2(c6) | v1_relat_2(c6). [resolve(115,a,108,a)].
% 0.83/1.12 Derived: -v3_relat_2(c6) | -v8_relat_2(c6) | -m1_relset_1(c6,A,A) | -v1_funct_1(c6) | -v1_partfun1(c6,A,A) | -v1_funct_2(c6,A,A) | v2_funct_1(c6). [resolve(136,c,130,d)].
% 0.83/1.12 Derived: -v3_relat_2(c6) | -v8_relat_2(c6) | -m1_relset_1(c6,A,A) | -v1_funct_1(c6) | -v1_partfun1(c6,A,A) | -v1_funct_2(c6,A,A) | v2_funct_2(c6,A,A). [resolve(136,c,131,d)].
% 0.83/1.12 137 -v3_relat_2(c8) | -v8_relat_2(c8) | v1_relat_2(c8). [resolve(116,a,108,a)].
% 0.83/1.12 Derived: -v3_relat_2(c8) | -v8_relat_2(c8) | -m1_relset_1(c8,A,A) | -v1_funct_1(c8) | -v1_partfun1(c8,A,A) | -v1_funct_2(c8,A,A) | v2_funct_1(c8). [resolve(137,c,130,d)].
% 0.83/1.12 Derived: -v3_relat_2(c8) | -v8_relat_2(c8) | -m1_relset_1(c8,A,A) | -v1_funct_1(c8) | -v1_partfun1(c8,A,A) | -v1_funct_2(c8,A,A) | v2_funct_2(c8,A,A). [resolve(137,c,131,d)].
% 0.83/1.12 138 -v3_relat_2(f15(A)) | -v8_relat_2(f15(A)) | v1_relat_2(f15(A)). [resolve(117,a,108,a)].
% 0.83/1.12 Derived: -v3_relat_2(f15(A)) | -v8_relat_2(f15(A)) | -m1_relset_1(f15(A),B,B) | -v1_funct_1(f15(A)) | -v1_partfun1(f15(A),B,B) | -v1_funct_2(f15(A),B,B) | v2_funct_1(f15(A)). [resolve(138,c,130,d)].
% 0.83/1.12 Derived: -v3_relat_2(f15(A)) | -v8_relat_2(f15(A)) | -m1_relset_1(f15(A),B,B) | -v1_funct_1(f15(A)) | -v1_partfun1(f15(A),B,B) | -v1_funct_2(f15(A),B,B) | v2_funct_2(f15(A),B,B). [resolve(138,c,131,d)].
% 0.83/1.12 139 -v3_relat_2(f16(A,B)) | -v8_relat_2(f16(A,B)) | v1_relat_2(f16(A,B)). [resolve(118,a,108,a)].
% 0.83/1.12 Derived: -v3_relat_2(f16(A,B)) | -v8_relat_2(f16(A,B)) | -m1_relset_1(f16(A,B),C,C) | -v1_funct_1(f16(A,B)) | -v1_partfun1(f16(A,B),C,C) | -v1_funct_2(f16(A,B),C,C) | v2_funct_1(f16(A,B)). [resolve(139,c,130,d)].
% 0.83/1.12 Derived: -v3_relat_2(f16(A,B)) | -v8_relat_2(f16(A,B)) | -m1_relset_1(f16(A,B),C,C) | -v1_funct_1(f16(A,B)) | -v1_partfun1(f16(A,B),C,C) | -v1_funct_2(f16(A,B),C,C) | v2_funct_2(f16(A,B),C,C). [resolve(139,c,131,d)].
% 0.83/1.12 140 -v3_relat_2(c11) | -v8_relat_2(c11) | v1_relat_2(c11). [resolve(119,a,108,a)].
% 0.83/1.12 Derived: -v3_relat_2(c11) | -v8_relat_2(c11) | -m1_relset_1(c11,A,A) | -v1_funct_1(c11) | -v1_partfun1(c11,A,A) | -v1_funct_2(c11,A,A) | v2_funct_1(c11). [resolve(140,c,130,d)].
% 0.83/1.12 Derived: -v3_relat_2(c11) | -v8_relat_2(c11) | -m1_relset_1(c11,A,A) | -v1_funct_1(c11) | -v1_partfun1(c11,A,A) | -v1_funct_2(c11,A,A) | v2_funct_2(c11,A,A). [resolve(140,c,131,d)].
% 0.83/1.12 141 -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | -v3_relat_2(D) | -v8_relat_2(D) | v1_relat_2(D). [resolve(121,c,108,a)].
% 0.83/1.12 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | -v3_relat_2(D) | -v8_relat_2(D) | -m1_relset_1(D,E,E) | -v1_funct_1(D) | -v1_partfun1(D,E,E) | -v1_funct_2(D,E,E) | v2_funct_1(D). [resolve(141,e,130,d)].
% 0.83/1.12 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | -v3_relat_2(D) | -v8_relat_2(D) | -m1_relset_1(D,E,E) | -v1_funct_1(D) | -v1_partfun1(D,E,E) | -v1_funct_2(D,E,E) | v2_funct_2(D,E,E). [resolve(141,e,131,d)].
% 0.83/1.12 142 -m1_subset_1(A,k1_funct_2(B,C)) | -v3_relat_2(A) | -v8_relat_2(A) | v1_relat_2(A). [resolve(122,b,108,a)].
% 0.83/1.12 Derived: -m1_subset_1(A,k1_funct_2(B,C)) | -v3_relat_2(A) | -v8_relat_2(A) | -m1_relset_1(A,D,D) | -v1_funct_1(A) | -v1_partfun1(A,D,D) | -v1_funct_2(A,D,D) | v2_funct_1(A). [resolve(142,d,130,d)].
% 0.83/1.12 Derived: -m1_subset_1(A,k1_funct_2(B,C)) | -v3_relat_2(A) | -v8_relat_2(A) | -m1_relset_1(A,D,D) | -v1_funct_1(A) | -v1_partfun1(A,D,D) | -v1_funct_2(A,D,D) | v2_funct_2(A,D,D). [resolve(142,d,131,d)].
% 0.83/1.12 143 -m1_subset_1(A,c3) | -v3_relat_2(A) | -v8_relat_2(A) | v1_relat_2(A). [resolve(123,b,108,a)].
% 0.83/1.17 Derived: -m1_subset_1(A,c3) | -v3_relat_2(A) | -v8_relat_2(A) | -m1_relset_1(A,B,B) | -v1_funct_1(A) | -v1_partfun1(A,B,B) | -v1_funct_2(A,B,B) | v2_funct_1(A). [resolve(143,d,130,d)].
% 0.83/1.17 Derived: -m1_subset_1(A,c3) | -v3_relat_2(A) | -v8_relat_2(A) | -m1_relset_1(A,B,B) | -v1_funct_1(A) | -v1_partfun1(A,B,B) | -v1_funct_2(A,B,B) | v2_funct_2(A,B,B). [resolve(143,d,131,d)].
% 0.83/1.17 144 -m1_relset_1(A,B,B) | -v1_funct_1(A) | -v1_partfun1(A,B,B) | -v1_relat_2(A) | -v1_funct_2(A,B,B) | -m1_relset_1(A,B,B) | -v1_funct_1(A) | -v1_funct_2(A,B,B) | v2_funct_1(A). [resolve(127,f,125,d)].
% 0.83/1.17 145 -m1_relset_1(A,B,B) | -v1_funct_1(A) | -v1_partfun1(A,B,B) | -v1_relat_2(A) | -v1_funct_2(A,B,B) | -m1_relset_1(A,B,B) | -v1_funct_1(A) | -v1_funct_2(A,B,B) | v2_funct_2(A,B,B). [resolve(127,f,126,d)].
% 0.83/1.17 146 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(58)].
% 0.83/1.17 147 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(37)].
% 0.83/1.17 148 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(48)].
% 0.83/1.17 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_group_1(A). [resolve(146,b,147,b)].
% 0.83/1.17 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(146,b,148,a)].
% 0.83/1.17 149 l1_struct_0(c13) # label(rc3_struct_0) # label(axiom). [clausify(79)].
% 0.83/1.17 Derived: v3_struct_0(c13) | -v1_xboole_0(u1_struct_0(c13)). [resolve(149,a,146,b)].
% 0.83/1.17 150 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f18(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(81)].
% 0.83/1.17 Derived: v3_struct_0(A) | m1_subset_1(f18(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_group_1(A). [resolve(150,b,147,b)].
% 0.83/1.17 Derived: v3_struct_0(c2) | m1_subset_1(f18(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(150,b,148,a)].
% 0.83/1.17 Derived: v3_struct_0(c13) | m1_subset_1(f18(c13),k1_zfmisc_1(u1_struct_0(c13))). [resolve(150,b,149,a)].
% 0.83/1.17 151 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f18(A)) # label(rc5_struct_0) # label(axiom). [clausify(81)].
% 0.83/1.17 Derived: v3_struct_0(A) | -v1_xboole_0(f18(A)) | -l1_group_1(A). [resolve(151,b,147,b)].
% 0.83/1.17 Derived: v3_struct_0(c2) | -v1_xboole_0(f18(c2)). [resolve(151,b,148,a)].
% 0.83/1.17 Derived: v3_struct_0(c13) | -v1_xboole_0(f18(c13)). [resolve(151,b,149,a)].
% 0.83/1.17 152 v1_xboole_0(A) | -m1_relset_1(B,C,A) | -v1_funct_1(B) | -v1_funct_2(B,C,A) | v1_partfun1(B,C,A) # label(cc5_funct_2) # label(axiom). [clausify(15)].
% 0.83/1.17 153 -m1_relset_1(A,B,C) | -v1_funct_1(A) | -v1_partfun1(A,B,C) | v1_funct_2(A,B,C) # label(cc1_funct_2) # label(axiom). [clausify(5)].
% 0.83/1.17 154 v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(C,A,B) | -v1_funct_1(C) | -v1_funct_2(C,A,B) | v1_partfun1(C,A,B) # label(cc6_funct_2) # label(axiom). [clausify(16)].
% 0.83/1.17 155 v1_partfun1(k6_partfun1(A),A,A) # label(dt_k6_partfun1) # label(axiom). [clausify(34)].
% 0.83/1.17 Derived: -m1_relset_1(k6_partfun1(A),A,A) | -v1_funct_1(k6_partfun1(A)) | v1_funct_2(k6_partfun1(A),A,A). [resolve(155,a,153,c)].
% 0.83/1.17 156 v1_partfun1(f17(A),A,A) # label(rc3_partfun1) # label(axiom). [clausify(78)].
% 0.83/1.17 Derived: -m1_relset_1(f17(A),A,A) | -v1_funct_1(f17(A)) | v1_funct_2(f17(A),A,A). [resolve(156,a,153,c)].
% 0.83/1.17 157 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(95)].
% 0.83/1.17 158 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(87)].
% 0.83/1.17 159 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(95)].
% 0.83/1.17 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(157,b,158,a)].
% 0.83/1.17
% 0.83/1.17 ============================== end predicate elimination =============
% 0.83/1.17
% 0.83/1.17 Auto_denials: (non-Horn, no changes).
% 0.83/1.17
% 0.83/1.17 Term ordering decisions:
% 0.83/1.17 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. c12=1. c13=1. c14=1. c15=1. c16=1. k2_zfmisc_1=1. g1_group_1=1. k1_fraenkel=1. k1_funct_2=1. k1_funct_1=1. f3=1. f4=1. f6=1. f8=1. f11=1. f12=1. f16=1. u1_struct_0=1. k3_autgroup=1. k4_autgroup=1. k1_autgroup=1. k5_autgroup=1. k1_zfmisc_1=1. k6_partfun1=1. k2_autgroup=1. k6_relat_1=1. u1_group_1=1. k2_group_1=1. f7=1. f9=1. f13=1. f14=1. f15=1. f17=1. f18=1. k2_group_3=1. f1=1. f5=1. f10=1. k8_funct_2=1. f2=1. f19=1.
% 24.36/24.68
% 24.36/24.68 ============================== end of process initial clauses ========
% 24.36/24.68
% 24.36/24.68 ============================== CLAUSES FOR SEARCH ====================
% 24.36/24.68
% 24.36/24.68 ============================== end of clauses for search =============
% 24.36/24.68
% 24.36/24.68 ============================== SEARCH ================================
% 24.36/24.68
% 24.36/24.68 % Starting search at 0.09 seconds.
% 24.36/24.68
% 24.36/24.68 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.25 sec).
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=139.000, iters=3771
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=60.000, iters=3510
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=55.000, iters=3528
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=42.000, iters=3376
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=40.000, iters=3389
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=36.000, iters=3361
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=34.000, iters=3380
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=27.000, iters=3373
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=24.000, iters=3349
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=22.000, iters=3371
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=21.000, iters=3364
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=19.000, iters=3363
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=18.000, iters=3368
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=17.000, iters=3348
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=16.000, iters=3348
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=15.000, iters=3340
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=14.000, iters=3393
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=13.000, iters=3345
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=12.000, iters=3364
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=11.000, iters=3343
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=10.000, iters=3333
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=27711, wt=194.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=23028, wt=174.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=22722, wt=172.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=22601, wt=171.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=20312, wt=170.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=27749, wt=162.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=22175, wt=160.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=21986, wt=158.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=21747, wt=156.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=21592, wt=155.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=21336, wt=154.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=20071, wt=152.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=20974, wt=151.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=20070, wt=150.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=20654, wt=147.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=20870, wt=146.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=20736, wt=144.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=20613, wt=142.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=20501, wt=139.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=27911, wt=130.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=26486, wt=114.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=23025, wt=110.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=22719, wt=108.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=22598, wt=107.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=20309, wt=106.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=27954, wt=98.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=22172, wt=96.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=21983, wt=94.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=21744, wt=92.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=21589, wt=91.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=21333, wt=90.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=19936, wt=88.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=20971, wt=87.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=19935, wt=86.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=20651, wt=83.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=27990, wt=82.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=20735, wt=80.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=23022, wt=78.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=22716, wt=76.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=22595, wt=75.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=20540, wt=74.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=26512, wt=70.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=26511, wt=68.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=26510, wt=67.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=28027, wt=66.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=22169, wt=64.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=28221, wt=62.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=28255, wt=60.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=28335, wt=59.000
% 24.36/24.68
% 24.36/24.68 Low Water (keep): wt=9.000, iters=3334
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=28367, wt=58.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=19329, wt=56.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=20968, wt=55.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=28459, wt=54.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=28530, wt=52.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=28529, wt=51.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=28634, wt=50.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=22166, wt=48.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=28818, wt=46.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=28889, wt=44.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=28888, wt=43.000
% 24.36/24.68
% 24.36/24.68 Low Water (displace): id=28944, wt=42.000Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------