TSTP Solution File: GRP628+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP628+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 : Sat Jul 16 11:19:59 EDT 2022
% Result : Theorem 2.59s 2.87s
% Output : Refutation 2.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP628+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13 % 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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 14:14:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.06 ============================== Prover9 ===============================
% 0.44/1.06 Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.06 Process 20913 was started by sandbox2 on n024.cluster.edu,
% 0.44/1.06 Mon Jun 13 14:14:34 2022
% 0.44/1.06 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_20760_n024.cluster.edu".
% 0.44/1.06 ============================== end of head ===========================
% 0.44/1.06
% 0.44/1.06 ============================== INPUT =================================
% 0.44/1.06
% 0.44/1.06 % Reading from file /tmp/Prover9_20760_n024.cluster.edu
% 0.44/1.06
% 0.44/1.06 set(prolog_style_variables).
% 0.44/1.06 set(auto2).
% 0.44/1.06 % set(auto2) -> set(auto).
% 0.44/1.06 % set(auto) -> set(auto_inference).
% 0.44/1.06 % set(auto) -> set(auto_setup).
% 0.44/1.06 % set(auto_setup) -> set(predicate_elim).
% 0.44/1.06 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/1.06 % set(auto) -> set(auto_limits).
% 0.44/1.06 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/1.06 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/1.06 % set(auto) -> set(auto_denials).
% 0.44/1.06 % set(auto) -> set(auto_process).
% 0.44/1.06 % set(auto2) -> assign(new_constants, 1).
% 0.44/1.06 % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/1.06 % set(auto2) -> assign(max_weight, "200.000").
% 0.44/1.06 % set(auto2) -> assign(max_hours, 1).
% 0.44/1.06 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/1.06 % set(auto2) -> assign(max_seconds, 0).
% 0.44/1.06 % set(auto2) -> assign(max_minutes, 5).
% 0.44/1.06 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/1.06 % set(auto2) -> set(sort_initial_sos).
% 0.44/1.06 % set(auto2) -> assign(sos_limit, -1).
% 0.44/1.06 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/1.06 % set(auto2) -> assign(max_megs, 400).
% 0.44/1.06 % set(auto2) -> assign(stats, some).
% 0.44/1.06 % set(auto2) -> clear(echo_input).
% 0.44/1.06 % set(auto2) -> set(quiet).
% 0.44/1.06 % set(auto2) -> clear(print_initial_clauses).
% 0.44/1.06 % set(auto2) -> clear(print_given).
% 0.44/1.06 assign(lrs_ticks,-1).
% 0.44/1.06 assign(sos_limit,10000).
% 0.44/1.06 assign(order,kbo).
% 0.44/1.06 set(lex_order_vars).
% 0.44/1.06 clear(print_given).
% 0.44/1.06
% 0.44/1.06 % formulas(sos). % not echoed (77 formulas)
% 0.44/1.06
% 0.44/1.06 ============================== end of input ==========================
% 0.44/1.06
% 0.44/1.06 % From the command line: assign(max_seconds, 300).
% 0.44/1.06
% 0.44/1.06 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/1.06
% 0.44/1.06 % Formulas that are not ordinary clauses:
% 0.44/1.06 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].
% 0.44/1.06 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 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].
% 0.44/1.06 4 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 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].
% 0.44/1.06 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].
% 0.44/1.06 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].
% 0.44/1.06 8 (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].
% 0.44/1.06 9 (all A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A) -> v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 10 (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].
% 0.44/1.06 11 (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].
% 0.44/1.06 12 (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].
% 0.44/1.06 13 (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].
% 0.44/1.06 14 (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].
% 0.44/1.06 15 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 16 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 17 (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].
% 0.44/1.06 18 (all A (v1_relat_1(A) & v1_funct_1(A) -> v1_relat_1(k2_funct_1(A)) & v1_funct_1(k2_funct_1(A)))) # label(dt_k2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 19 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 20 (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].
% 0.44/1.06 21 (all A all B (-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(k3_group_1(A,B),u1_struct_0(A)))) # label(dt_k3_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 22 (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].
% 0.44/1.06 23 (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].
% 0.44/1.06 24 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 25 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 26 (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].
% 0.44/1.06 27 (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].
% 0.44/1.06 28 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 29 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 30 (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].
% 0.44/1.06 31 (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].
% 0.44/1.06 32 (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].
% 0.44/1.06 33 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 34 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 35 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 36 (all A all B exists C m1_fraenkel(C,A,B)) # label(existence_m1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 37 (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].
% 0.44/1.06 38 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 39 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 40 (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].
% 0.44/1.06 41 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 42 (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].
% 0.44/1.06 43 (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].
% 0.44/1.06 44 (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].
% 0.44/1.06 45 (exists A (-v1_xboole_0(A) & v1_fraenkel(A))) # label(rc1_fraenkel) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 46 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 47 (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].
% 0.44/1.06 48 (exists A (l1_group_1(A) & v1_group_1(A))) # label(rc1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 49 (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].
% 0.44/1.06 50 (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].
% 0.44/1.06 51 (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].
% 0.44/1.06 52 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 53 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 54 (exists A (l1_group_1(A) & -v3_struct_0(A) & v1_group_1(A))) # label(rc2_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 55 (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].
% 0.44/1.06 56 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 57 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 58 (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].
% 0.44/1.06 59 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 60 (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].
% 0.44/1.07 61 (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].
% 0.44/1.07 62 (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].
% 0.44/1.07 63 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.07 64 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> (all C (m1_subset_1(C,u1_struct_0(k3_autgroup(A))) -> (B = C -> k2_funct_1(B) = k3_group_1(k3_autgroup(A),C)))))))) # label(t11_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.07 65 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)))))) # label(t13_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.07 66 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.07 67 (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].
% 0.44/1.07 68 (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].
% 0.44/1.07 69 (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].
% 0.44/1.07 70 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m1_subset_1(C,u1_struct_0(A)))))))) # label(t51_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.07 71 (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_group_2(C,A) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (D = B -> k3_group_1(C,D) = k3_group_1(A,B)))))))))) # label(t57_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.07 72 (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].
% 0.44/1.07 73 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.07 74 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.07 75 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.07 76 -(all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> (all C (m1_subset_1(C,u1_struct_0(k5_autgroup(A))) -> (B = C -> k2_funct_1(B) = k3_group_1(k5_autgroup(A),C)))))))) # label(t22_autgroup) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.44/1.07
% 0.44/1.07 ============================== end of process non-clausal formulas ===
% 0.44/1.07
% 0.44/1.07 ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/1.07
% 0.44/1.07 ============================== PREDICATE ELIMINATION =================
% 0.44/1.07 77 -m1_fraenkel(A,B,C) | v1_fraenkel(A) # label(dt_m1_fraenkel) # label(axiom). [clausify(26)].
% 0.44/1.07 78 -v1_fraenkel(A) | -m1_subset_1(B,A) | v1_relat_1(B) # label(cc1_fraenkel) # label(axiom). [clausify(3)].
% 0.44/1.07 79 -v1_fraenkel(A) | -m1_subset_1(B,A) | v1_funct_1(B) # label(cc1_fraenkel) # label(axiom). [clausify(3)].
% 0.44/1.07 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_relat_1(D). [resolve(77,b,78,a)].
% 0.44/1.07 Derived: -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_funct_1(D). [resolve(77,b,79,a)].
% 0.44/1.07 80 v1_fraenkel(c3) # label(rc1_fraenkel) # label(axiom). [clausify(45)].
% 0.44/1.07 Derived: -m1_subset_1(A,c3) | v1_relat_1(A). [resolve(80,a,78,a)].
% 0.44/1.07 Derived: -m1_subset_1(A,c3) | v1_funct_1(A). [resolve(80,a,79,a)].
% 0.44/1.07 81 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(10)].
% 0.44/1.07 82 -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)].
% 0.44/1.07 83 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(11)].
% 0.44/1.07 84 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_group_2(k5_autgroup(A),k3_autgroup(A)) # label(dt_k5_autgroup) # label(axiom). [clausify(23)].
% 0.44/1.07 85 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | v4_group_1(B) # label(cc1_group_2) # label(axiom). [clausify(7)].
% 0.44/1.07 Derived: 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)) | -v3_group_1(k3_autgroup(A)) | -v4_group_1(k3_autgroup(A)) | -l1_group_1(k3_autgroup(A)) | v4_group_1(k5_autgroup(A)). [resolve(84,f,85,e)].
% 0.44/1.07 86 v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -v3_struct_0(B) # label(dt_m1_group_2) # label(axiom). [clausify(27)].
% 0.44/1.07 Derived: v3_struct_0(k3_autgroup(A)) | -v3_group_1(k3_autgroup(A)) | -l1_group_1(k3_autgroup(A)) | -v3_struct_0(k5_autgroup(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(86,d,84,f)].
% 0.44/1.07 87 v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | v3_group_1(B) # label(dt_m1_group_2) # label(axiom). [clausify(27)].
% 0.44/1.07 Derived: v3_struct_0(k3_autgroup(A)) | -v3_group_1(k3_autgroup(A)) | -l1_group_1(k3_autgroup(A)) | v3_group_1(k5_autgroup(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(87,d,84,f)].
% 0.44/1.07 88 v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | l1_group_1(B) # label(dt_m1_group_2) # label(axiom). [clausify(27)].
% 0.44/1.07 Derived: v3_struct_0(k3_autgroup(A)) | -v3_group_1(k3_autgroup(A)) | -l1_group_1(k3_autgroup(A)) | l1_group_1(k5_autgroup(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(88,d,84,f)].
% 0.44/1.07 89 v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | m1_group_2(f2(A),A) # label(existence_m1_group_2) # label(axiom). [clausify(37)].
% 0.44/1.07 Derived: v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v4_group_1(f2(A)). [resolve(89,d,85,e)].
% 0.44/1.07 Derived: v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | -v3_struct_0(f2(A)). [resolve(89,d,86,d)].
% 0.44/1.07 Derived: v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | v3_group_1(f2(A)). [resolve(89,d,87,d)].
% 0.44/1.07 Derived: v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | l1_group_1(f2(A)). [resolve(89,d,88,d)].
% 0.44/1.07 90 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_group_2(f8(A),A) # label(rc1_group_2) # label(axiom). [clausify(49)].
% 0.44/1.07 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | l1_group_1(f8(A)). [resolve(90,e,88,d)].
% 0.44/1.07 91 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_group_2(f9(A),A) # label(rc1_group_3) # label(axiom). [clausify(50)].
% 0.44/1.07 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | l1_group_1(f9(A)). [resolve(91,e,88,d)].
% 0.44/1.07 92 v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -m1_subset_1(C,u1_struct_0(B)) | m1_subset_1(C,u1_struct_0(A)) # label(t51_group_2) # label(axiom). [clausify(70)].
% 0.44/1.07 Derived: v3_struct_0(k3_autgroup(A)) | -v3_group_1(k3_autgroup(A)) | -l1_group_1(k3_autgroup(A)) | -m1_subset_1(B,u1_struct_0(k5_autgroup(A))) | m1_subset_1(B,u1_struct_0(k3_autgroup(A))) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(92,d,84,f)].
% 0.82/1.08 Derived: v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | -m1_subset_1(B,u1_struct_0(f2(A))) | m1_subset_1(B,u1_struct_0(A)) | v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A). [resolve(92,d,89,d)].
% 0.82/1.08 Derived: v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | -m1_subset_1(B,u1_struct_0(f8(A))) | m1_subset_1(B,u1_struct_0(A)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(92,d,90,e)].
% 0.82/1.08 Derived: v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | -m1_subset_1(B,u1_struct_0(f9(A))) | m1_subset_1(B,u1_struct_0(A)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(92,d,91,e)].
% 0.82/1.08 93 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_group_2(C,A) | -m1_subset_1(D,u1_struct_0(C)) | D != B | k3_group_1(C,D) = k3_group_1(A,B) # label(t57_group_2) # label(axiom). [clausify(71)].
% 0.82/1.08 Derived: v3_struct_0(k3_autgroup(A)) | -v3_group_1(k3_autgroup(A)) | -v4_group_1(k3_autgroup(A)) | -l1_group_1(k3_autgroup(A)) | -m1_subset_1(B,u1_struct_0(k3_autgroup(A))) | -m1_subset_1(C,u1_struct_0(k5_autgroup(A))) | C != B | k3_group_1(k5_autgroup(A),C) = k3_group_1(k3_autgroup(A),B) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(93,f,84,f)].
% 0.82/1.08 Derived: 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(f2(A))) | C != B | k3_group_1(f2(A),C) = k3_group_1(A,B) | v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A). [resolve(93,f,89,d)].
% 0.82/1.08 Derived: 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(f8(A))) | C != B | k3_group_1(f8(A),C) = k3_group_1(A,B) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(93,f,90,e)].
% 0.82/1.08 Derived: 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(f9(A))) | C != B | k3_group_1(f9(A),C) = k3_group_1(A,B) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(93,f,91,e)].
% 0.82/1.08 94 -m1_fraenkel(A,B,C) | -v1_xboole_0(A) # label(dt_m1_fraenkel) # label(axiom). [clausify(26)].
% 0.82/1.08 95 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). [clausify(14)].
% 0.82/1.08 96 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). [clausify(22)].
% 0.82/1.08 Derived: -v1_xboole_0(k1_autgroup(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(94,a,95,f)].
% 0.82/1.08 Derived: -v1_xboole_0(k4_autgroup(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(94,a,96,f)].
% 0.82/1.08 97 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(30)].
% 0.82/1.08 Derived: v1_xboole_0(u1_struct_0(A)) | -m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) | v1_funct_1(B) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(97,b,95,f)].
% 0.82/1.08 Derived: v1_xboole_0(u1_struct_0(A)) | -m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) | v1_funct_1(B) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(97,b,96,f)].
% 0.82/1.08 98 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(30)].
% 0.82/1.08 Derived: v1_xboole_0(u1_struct_0(A)) | -m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) | v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(98,b,95,f)].
% 0.82/1.08 Derived: v1_xboole_0(u1_struct_0(A)) | -m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) | v1_funct_2(B,u1_struct_0(A),u1_struct_0(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(98,b,96,f)].
% 0.82/1.08 99 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(30)].
% 0.82/1.08 Derived: v1_xboole_0(u1_struct_0(A)) | -m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) | m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(99,b,95,f)].
% 0.82/1.08 Derived: v1_xboole_0(u1_struct_0(A)) | -m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) | m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(99,b,96,f)].
% 0.82/1.08 100 m1_fraenkel(f1(A,B),A,B) # label(existence_m1_fraenkel) # label(axiom). [clausify(36)].
% 0.82/1.08 Derived: -v1_xboole_0(f1(A,B)). [resolve(100,a,94,a)].
% 0.82/1.08 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f1(C,A)) | v1_funct_1(B). [resolve(100,a,97,b)].
% 0.82/1.08 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f1(C,A)) | v1_funct_2(B,C,A). [resolve(100,a,98,b)].
% 0.82/1.08 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f1(C,A)) | m2_relset_1(B,C,A). [resolve(100,a,99,b)].
% 0.82/1.08 101 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | m2_fraenkel(f5(C,A,B),C,A,B) # label(existence_m2_fraenkel) # label(axiom). [clausify(40)].
% 0.82/1.08 Derived: v1_xboole_0(u1_struct_0(A)) | m2_fraenkel(f5(u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)),u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(101,b,95,f)].
% 0.82/1.08 Derived: v1_xboole_0(u1_struct_0(A)) | m2_fraenkel(f5(u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)),u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(101,b,96,f)].
% 0.82/1.08 Derived: v1_xboole_0(A) | m2_fraenkel(f5(B,A,f1(B,A)),B,A,f1(B,A)). [resolve(101,b,100,a)].
% 0.82/1.08 102 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(61)].
% 0.82/1.08 Derived: v1_xboole_0(u1_struct_0(A)) | -m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) | m1_subset_1(B,k1_autgroup(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(102,b,95,f)].
% 0.82/1.08 Derived: v1_xboole_0(u1_struct_0(A)) | -m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) | m1_subset_1(B,k4_autgroup(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(102,b,96,f)].
% 0.82/1.08 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f1(C,A)) | m1_subset_1(B,f1(C,A)). [resolve(102,b,100,a)].
% 0.82/1.08 103 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(61)].
% 0.82/1.08 Derived: v1_xboole_0(u1_struct_0(A)) | m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) | -m1_subset_1(B,k1_autgroup(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(103,b,95,f)].
% 0.82/1.08 Derived: v1_xboole_0(u1_struct_0(A)) | m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) | -m1_subset_1(B,k4_autgroup(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(103,b,96,f)].
% 0.82/1.08 Derived: v1_xboole_0(A) | m2_fraenkel(B,C,A,f1(C,A)) | -m1_subset_1(B,f1(C,A)). [resolve(103,b,100,a)].
% 0.82/1.08 104 -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_relat_1(D). [resolve(77,b,78,a)].
% 0.82/1.08 Derived: -m1_subset_1(A,k1_autgroup(B)) | v1_relat_1(A) | v3_struct_0(B) | -v1_group_1(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B). [resolve(104,a,95,f)].
% 0.82/1.08 Derived: -m1_subset_1(A,k4_autgroup(B)) | v1_relat_1(A) | v3_struct_0(B) | -v1_group_1(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B). [resolve(104,a,96,f)].
% 0.82/1.08 Derived: -m1_subset_1(A,f1(B,C)) | v1_relat_1(A). [resolve(104,a,100,a)].
% 0.82/1.08 105 -m1_fraenkel(A,B,C) | -m1_subset_1(D,A) | v1_funct_1(D). [resolve(77,b,79,a)].
% 0.82/1.08 Derived: -m1_subset_1(A,k1_autgroup(B)) | v1_funct_1(A) | v3_struct_0(B) | -v1_group_1(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B). [resolve(105,a,95,f)].
% 0.82/1.09 Derived: -m1_subset_1(A,k4_autgroup(B)) | v1_funct_1(A) | v3_struct_0(B) | -v1_group_1(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B). [resolve(105,a,96,f)].
% 0.82/1.09 Derived: -m1_subset_1(A,f1(B,C)) | v1_funct_1(A). [resolve(105,a,100,a)].
% 0.82/1.09 106 -m2_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) # label(dt_m2_relset_1) # label(axiom). [clausify(31)].
% 0.82/1.09 107 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(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). [clausify(17)].
% 0.82/1.09 Derived: m1_subset_1(k2_autgroup(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A)))) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(106,a,107,f)].
% 0.82/1.09 108 -l1_group_1(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). [clausify(32)].
% 0.82/1.09 Derived: -l1_group_1(A) | m1_subset_1(u1_group_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))). [resolve(108,b,106,a)].
% 0.82/1.09 109 m2_relset_1(f6(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(41)].
% 0.82/1.09 Derived: m1_subset_1(f6(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(109,a,106,a)].
% 0.82/1.09 110 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(62)].
% 0.82/1.09 Derived: m1_relset_1(k2_autgroup(A),k2_zfmisc_1(k1_autgroup(A),k1_autgroup(A)),k1_autgroup(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(110,a,107,f)].
% 0.82/1.09 Derived: m1_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l1_group_1(A). [resolve(110,a,108,b)].
% 0.82/1.09 Derived: m1_relset_1(f6(A,B),A,B). [resolve(110,a,109,a)].
% 0.82/1.09 111 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(62)].
% 0.82/1.09 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(111,a,106,a)].
% 0.82/1.09 112 v1_xboole_0(u1_struct_0(A)) | -m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) | m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(99,b,95,f)].
% 0.82/1.09 Derived: v1_xboole_0(u1_struct_0(A)) | -m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))). [resolve(112,c,106,a)].
% 0.82/1.09 Derived: v1_xboole_0(u1_struct_0(A)) | -m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)). [resolve(112,c,110,a)].
% 0.82/1.09 113 v1_xboole_0(u1_struct_0(A)) | -m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) | m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(99,b,96,f)].
% 0.82/1.09 Derived: v1_xboole_0(u1_struct_0(A)) | -m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))). [resolve(113,c,106,a)].
% 0.82/1.09 Derived: v1_xboole_0(u1_struct_0(A)) | -m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)). [resolve(113,c,110,a)].
% 0.82/1.09 114 v1_xboole_0(A) | -m2_fraenkel(B,C,A,f1(C,A)) | m2_relset_1(B,C,A). [resolve(100,a,99,b)].
% 0.82/1.09 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f1(C,A)) | m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(C,A))). [resolve(114,c,106,a)].
% 0.82/1.09 Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f1(C,A)) | m1_relset_1(B,C,A). [resolve(114,c,110,a)].
% 0.82/1.09 115 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(43)].
% 2.59/2.87 116 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(24)].
% 2.59/2.87 117 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(35)].
% 2.59/2.87 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_group_1(A). [resolve(115,b,116,b)].
% 2.59/2.87 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(115,b,117,a)].
% 2.59/2.87 118 l1_struct_0(c13) # label(rc3_struct_0) # label(axiom). [clausify(59)].
% 2.59/2.87 Derived: v3_struct_0(c13) | -v1_xboole_0(u1_struct_0(c13)). [resolve(118,a,115,b)].
% 2.59/2.87 119 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(60)].
% 2.59/2.87 Derived: v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_group_1(A). [resolve(119,b,116,b)].
% 2.59/2.87 Derived: v3_struct_0(c2) | m1_subset_1(f11(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(119,b,117,a)].
% 2.59/2.87 Derived: v3_struct_0(c13) | m1_subset_1(f11(c13),k1_zfmisc_1(u1_struct_0(c13))). [resolve(119,b,118,a)].
% 2.59/2.87 120 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f11(A)) # label(rc5_struct_0) # label(axiom). [clausify(60)].
% 2.59/2.87 Derived: v3_struct_0(A) | -v1_xboole_0(f11(A)) | -l1_group_1(A). [resolve(120,b,116,b)].
% 2.59/2.87 Derived: v3_struct_0(c2) | -v1_xboole_0(f11(c2)). [resolve(120,b,117,a)].
% 2.59/2.87 Derived: v3_struct_0(c13) | -v1_xboole_0(f11(c13)). [resolve(120,b,118,a)].
% 2.59/2.87 121 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(68)].
% 2.59/2.87 122 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(63)].
% 2.59/2.87 123 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(68)].
% 2.59/2.87 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(121,b,122,a)].
% 2.59/2.87
% 2.59/2.87 ============================== end predicate elimination =============
% 2.59/2.87
% 2.59/2.87 Auto_denials: (non-Horn, no changes).
% 2.59/2.87
% 2.59/2.87 Term ordering decisions:
% 2.59/2.87 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. k3_group_1=1. f1=1. f3=1. f6=1. f7=1. f10=1. u1_struct_0=1. k3_autgroup=1. k1_autgroup=1. k4_autgroup=1. k1_zfmisc_1=1. k5_autgroup=1. k2_autgroup=1. u1_group_1=1. k2_funct_1=1. f2=1. f4=1. f8=1. f9=1. f11=1. f5=1.
% 2.59/2.87
% 2.59/2.87 ============================== end of process initial clauses ========
% 2.59/2.87
% 2.59/2.87 ============================== CLAUSES FOR SEARCH ====================
% 2.59/2.87
% 2.59/2.87 ============================== end of clauses for search =============
% 2.59/2.87
% 2.59/2.87 ============================== SEARCH ================================
% 2.59/2.87
% 2.59/2.87 % Starting search at 0.06 seconds.
% 2.59/2.87
% 2.59/2.87 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.18 sec).
% 2.59/2.87
% 2.59/2.87 Low Water (keep): wt=28.000, iters=3582
% 2.59/2.87
% 2.59/2.87 Low Water (keep): wt=22.000, iters=3346
% 2.59/2.87
% 2.59/2.87 Low Water (keep): wt=21.000, iters=3427
% 2.59/2.87
% 2.59/2.87 Low Water (keep): wt=18.000, iters=3376
% 2.59/2.87
% 2.59/2.87 Low Water (keep): wt=17.000, iters=3348
% 2.59/2.87
% 2.59/2.87 Low Water (keep): wt=16.000, iters=3363
% 2.59/2.87
% 2.59/2.87 Low Water (keep): wt=15.000, iters=3366
% 2.59/2.87
% 2.59/2.87 Low Water (keep): wt=14.000, iters=3366
% 2.59/2.87
% 2.59/2.87 Low Water (keep): wt=13.000, iters=3339
% 2.59/2.87
% 2.59/2.87 Low Water (keep): wt=12.000, iters=3366
% 2.59/2.87
% 2.59/2.87 Low Water (keep): wt=11.000, iters=3489
% 2.59/2.87
% 2.59/2.87 Low Water (keep): wt=9.000, iters=3398
% 2.59/2.87
% 2.59/2.87 Low Water (keep): wt=8.000, iters=3351
% 2.59/2.87
% 2.59/2.87 Low Water (keep): wt=7.000, iters=3348
% 2.59/2.87
% 2.59/2.87 Low Water (keep): wt=6.000, iters=3336
% 2.59/2.87
% 2.59/2.87 ============================== PROOF =================================
% 2.59/2.87 % SZS status Theorem
% 2.59/2.87 % SZS output start Refutation
% 2.59/2.87
% 2.59/2.87 % Proof 1 at 1.80 (+ 0.03) seconds.
% 2.59/2.87 % Length of proof is 40.
% 2.59/2.87 % Level of proof is 6.
% 2.59/2.87 % Maximum clause weight is 44.000.
% 2.59/2.87 % Given clauses 4947.
% 2.59/2.87
% 2.59/2.87 20 (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].
% 2.59/2.87 23 (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].
% 2.59/2.87 64 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) -> (all C (m1_subset_1(C,u1_struct_0(k3_autgroup(A))) -> (B = C -> k2_funct_1(B) = k3_group_1(k3_autgroup(A),C)))))))) # label(t11_autgroup) # label(axiom) # label(non_clause). [assumption].
% 2.59/2.87 65 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)))))) # label(t13_autgroup) # label(axiom) # label(non_clause). [assumption].
% 2.59/2.87 70 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> m1_subset_1(C,u1_struct_0(A)))))))) # label(t51_group_2) # label(axiom) # label(non_clause). [assumption].
% 2.59/2.87 71 (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_group_2(C,A) -> (all D (m1_subset_1(D,u1_struct_0(C)) -> (D = B -> k3_group_1(C,D) = k3_group_1(A,B)))))))))) # label(t57_group_2) # label(axiom) # label(non_clause). [assumption].
% 2.59/2.87 76 -(all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) -> (all C (m1_subset_1(C,u1_struct_0(k5_autgroup(A))) -> (B = C -> k2_funct_1(B) = k3_group_1(k5_autgroup(A),C)))))))) # label(t22_autgroup) # label(negated_conjecture) # label(non_clause). [assumption].
% 2.59/2.87 84 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_group_2(k5_autgroup(A),k3_autgroup(A)) # label(dt_k5_autgroup) # label(axiom). [clausify(23)].
% 2.59/2.87 92 v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -m1_subset_1(C,u1_struct_0(B)) | m1_subset_1(C,u1_struct_0(A)) # label(t51_group_2) # label(axiom). [clausify(70)].
% 2.59/2.87 93 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_group_2(C,A) | -m1_subset_1(D,u1_struct_0(C)) | D != B | k3_group_1(C,D) = k3_group_1(A,B) # label(t57_group_2) # label(axiom). [clausify(71)].
% 2.59/2.87 137 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)) # label(dt_k3_autgroup) # label(axiom). [clausify(20)].
% 2.59/2.87 139 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_group_1(k3_autgroup(A)) # label(dt_k3_autgroup) # label(axiom). [clausify(20)].
% 2.59/2.87 140 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v4_group_1(k3_autgroup(A)) # label(dt_k3_autgroup) # label(axiom). [clausify(20)].
% 2.59/2.87 141 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | l1_group_1(k3_autgroup(A)) # label(dt_k3_autgroup) # label(axiom). [clausify(20)].
% 2.59/2.87 192 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) | -m1_subset_1(C,u1_struct_0(k3_autgroup(A))) | C != B | k3_group_1(k3_autgroup(A),C) = k2_funct_1(B) # label(t11_autgroup) # label(axiom). [clausify(64)].
% 2.59/2.87 193 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k4_autgroup(A)) | m2_fraenkel(B,u1_struct_0(A),u1_struct_0(A),k1_autgroup(A)) # label(t13_autgroup) # label(axiom). [clausify(65)].
% 2.59/2.87 201 -v3_struct_0(c14) # label(t22_autgroup) # label(negated_conjecture). [clausify(76)].
% 2.59/2.87 202 v1_group_1(c14) # label(t22_autgroup) # label(negated_conjecture). [clausify(76)].
% 2.59/2.87 203 v3_group_1(c14) # label(t22_autgroup) # label(negated_conjecture). [clausify(76)].
% 2.59/2.87 204 v4_group_1(c14) # label(t22_autgroup) # label(negated_conjecture). [clausify(76)].
% 2.59/2.87 205 l1_group_1(c14) # label(t22_autgroup) # label(negated_conjecture). [clausify(76)].
% 2.59/2.87 206 m2_fraenkel(c15,u1_struct_0(c14),u1_struct_0(c14),k4_autgroup(c14)) # label(t22_autgroup) # label(negated_conjecture). [clausify(76)].
% 2.59/2.87 207 m1_subset_1(c16,u1_struct_0(k5_autgroup(c14))) # label(t22_autgroup) # label(negated_conjecture). [clausify(76)].
% 2.59/2.87 208 c16 = c15 # label(t22_autgroup) # label(negated_conjecture). [clausify(76)].
% 2.59/2.87 209 k3_group_1(k5_autgroup(c14),c16) != k2_funct_1(c15) # label(t22_autgroup) # label(negated_conjecture). [clausify(76)].
% 2.59/2.87 210 k3_group_1(k5_autgroup(c14),c15) != k2_funct_1(c15). [copy(209),rewrite([208(3)])].
% 2.59/2.87 229 v3_struct_0(k3_autgroup(A)) | -v3_group_1(k3_autgroup(A)) | -l1_group_1(k3_autgroup(A)) | -m1_subset_1(B,u1_struct_0(k5_autgroup(A))) | m1_subset_1(B,u1_struct_0(k3_autgroup(A))) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(92,d,84,f)].
% 2.59/2.87 236 v3_struct_0(k3_autgroup(A)) | -v3_group_1(k3_autgroup(A)) | -v4_group_1(k3_autgroup(A)) | -l1_group_1(k3_autgroup(A)) | -m1_subset_1(B,u1_struct_0(k3_autgroup(A))) | -m1_subset_1(C,u1_struct_0(k5_autgroup(A))) | C != B | k3_group_1(k5_autgroup(A),C) = k3_group_1(k3_autgroup(A),B) | v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(93,f,84,f)].
% 2.59/2.87 295 m1_subset_1(c15,u1_struct_0(k5_autgroup(c14))). [back_rewrite(207),rewrite([208(1)])].
% 2.59/2.87 373 l1_group_1(k3_autgroup(c14)). [resolve(202,a,141,b),unit_del(a,201),unit_del(b,203),unit_del(c,204),unit_del(d,205)].
% 2.59/2.87 374 v4_group_1(k3_autgroup(c14)). [resolve(202,a,140,b),unit_del(a,201),unit_del(b,203),unit_del(c,204),unit_del(d,205)].
% 2.59/2.87 375 v3_group_1(k3_autgroup(c14)). [resolve(202,a,139,b),unit_del(a,201),unit_del(b,203),unit_del(c,204),unit_del(d,205)].
% 2.59/2.87 377 -v3_struct_0(k3_autgroup(c14)). [resolve(202,a,137,b),unit_del(a,201),unit_del(b,203),unit_del(c,204),unit_del(d,205)].
% 2.59/2.87 392 m2_fraenkel(c15,u1_struct_0(c14),u1_struct_0(c14),k1_autgroup(c14)). [resolve(206,a,193,f),unit_del(a,201),unit_del(b,202),unit_del(c,203),unit_del(d,204),unit_del(e,205)].
% 2.59/2.87 497 -m1_subset_1(A,u1_struct_0(k3_autgroup(c14))) | c15 != A | k3_group_1(k5_autgroup(c14),c15) = k3_group_1(k3_autgroup(c14),A). [resolve(295,a,236,f),unit_del(a,377),unit_del(b,375),unit_del(c,374),unit_del(d,373),unit_del(h,201),unit_del(i,202),unit_del(j,203),unit_del(k,204),unit_del(l,205)].
% 2.59/2.87 498 m1_subset_1(c15,u1_struct_0(k3_autgroup(c14))). [resolve(295,a,229,d),unit_del(a,377),unit_del(b,375),unit_del(c,373),unit_del(e,201),unit_del(f,202),unit_del(g,203),unit_del(h,204),unit_del(i,205)].
% 2.59/2.87 1983 -m1_subset_1(A,u1_struct_0(k3_autgroup(c14))) | c15 != A | k3_group_1(k3_autgroup(c14),A) = k2_funct_1(c15). [resolve(392,a,192,f),flip(g),unit_del(a,201),unit_del(b,202),unit_del(c,203),unit_del(d,204),unit_del(e,205)].
% 2.59/2.87 5311 k3_group_1(k5_autgroup(c14),c15) = k3_group_1(k3_autgroup(c14),c15). [resolve(497,a,498,a),xx(a)].
% 2.59/2.87 5314 k3_group_1(k3_autgroup(c14),c15) != k2_funct_1(c15). [back_rewrite(210),rewrite([5311(4)])].
% 2.59/2.87 11215 $F. [resolve(1983,a,498,a),xx(a),unit_del(a,5314)].
% 2.59/2.87
% 2.59/2.87 % SZS output end Refutation
% 2.59/2.87 ============================== end of proof ==========================
% 2.59/2.87
% 2.59/2.87 ============================== STATISTICS ============================
% 2.59/2.87
% 2.59/2.87 Given=4947. Generated=24489. Kept=11074. proofs=1.
% 2.59/2.87 Usable=4919. Sos=5757. Demods=216. Limbo=0, Disabled=607. Hints=0.
% 2.59/2.87 Megabytes=10.49.
% 2.59/2.87 User_CPU=1.80, System_CPU=0.03, Wall_clock=2.
% 2.59/2.87
% 2.59/2.87 ============================== end of statistics =====================
% 2.59/2.87
% 2.59/2.87 ============================== end of search =========================
% 2.59/2.87
% 2.59/2.87 THEOREM PROVED
% 2.59/2.87 % SZS status Theorem
% 2.59/2.87
% 2.59/2.87 Exiting with 1 proof.
% 2.59/2.87
% 2.59/2.87 Process 20913 exit (max_proofs) Mon Jun 13 14:14:36 2022
% 2.59/2.87 Prover9 interrupted
%------------------------------------------------------------------------------