TSTP Solution File: GRP640+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP640+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n023.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 11:20:07 EDT 2022
% Result : Theorem 4.53s 4.85s
% Output : Refutation 4.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP640+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 22:53:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.03 ============================== Prover9 ===============================
% 0.71/1.03 Prover9 (32) version 2009-11A, November 2009.
% 0.71/1.03 Process 3470 was started by sandbox2 on n023.cluster.edu,
% 0.71/1.03 Mon Jun 13 22:53:06 2022
% 0.71/1.03 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_3317_n023.cluster.edu".
% 0.71/1.03 ============================== end of head ===========================
% 0.71/1.03
% 0.71/1.03 ============================== INPUT =================================
% 0.71/1.03
% 0.71/1.03 % Reading from file /tmp/Prover9_3317_n023.cluster.edu
% 0.71/1.03
% 0.71/1.03 set(prolog_style_variables).
% 0.71/1.03 set(auto2).
% 0.71/1.03 % set(auto2) -> set(auto).
% 0.71/1.03 % set(auto) -> set(auto_inference).
% 0.71/1.03 % set(auto) -> set(auto_setup).
% 0.71/1.03 % set(auto_setup) -> set(predicate_elim).
% 0.71/1.03 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.71/1.03 % set(auto) -> set(auto_limits).
% 0.71/1.03 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.71/1.03 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.71/1.03 % set(auto) -> set(auto_denials).
% 0.71/1.03 % set(auto) -> set(auto_process).
% 0.71/1.03 % set(auto2) -> assign(new_constants, 1).
% 0.71/1.03 % set(auto2) -> assign(fold_denial_max, 3).
% 0.71/1.03 % set(auto2) -> assign(max_weight, "200.000").
% 0.71/1.03 % set(auto2) -> assign(max_hours, 1).
% 0.71/1.03 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.71/1.03 % set(auto2) -> assign(max_seconds, 0).
% 0.71/1.03 % set(auto2) -> assign(max_minutes, 5).
% 0.71/1.03 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.71/1.03 % set(auto2) -> set(sort_initial_sos).
% 0.71/1.03 % set(auto2) -> assign(sos_limit, -1).
% 0.71/1.03 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.71/1.03 % set(auto2) -> assign(max_megs, 400).
% 0.71/1.03 % set(auto2) -> assign(stats, some).
% 0.71/1.03 % set(auto2) -> clear(echo_input).
% 0.71/1.03 % set(auto2) -> set(quiet).
% 0.71/1.03 % set(auto2) -> clear(print_initial_clauses).
% 0.71/1.03 % set(auto2) -> clear(print_given).
% 0.71/1.03 assign(lrs_ticks,-1).
% 0.71/1.03 assign(sos_limit,10000).
% 0.71/1.03 assign(order,kbo).
% 0.71/1.03 set(lex_order_vars).
% 0.71/1.03 clear(print_given).
% 0.71/1.03
% 0.71/1.03 % formulas(sos). % not echoed (63 formulas)
% 0.71/1.03
% 0.71/1.03 ============================== end of input ==========================
% 0.71/1.03
% 0.71/1.03 % From the command line: assign(max_seconds, 300).
% 0.71/1.03
% 0.71/1.03 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.71/1.03
% 0.71/1.03 % Formulas that are not ordinary clauses:
% 0.71/1.03 1 (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].
% 0.71/1.03 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 3 (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].
% 0.71/1.03 4 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 5 (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].
% 0.71/1.03 6 (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].
% 0.71/1.03 7 (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].
% 0.71/1.03 8 (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].
% 0.71/1.03 9 (all A k2_xboole_0(A,k1_xboole_0) = A) # label(t1_boole) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 10 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 11 (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].
% 0.71/1.03 12 (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].
% 0.71/1.03 13 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 14 (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].
% 0.71/1.03 15 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 16 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 17 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 18 $T # label(dt_k9_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 19 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 20 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 21 (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].
% 0.71/1.03 22 (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].
% 0.71/1.03 23 (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].
% 0.71/1.03 24 (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].
% 0.71/1.03 25 (all A all B (-v1_xboole_0(A) -> -v1_xboole_0(k2_xboole_0(A,B)))) # label(fc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 26 (all A all B (-v1_xboole_0(A) -> -v1_xboole_0(k2_xboole_0(B,A)))) # label(fc3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 27 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> -v1_xboole_0(k2_zfmisc_1(A,B)))) # label(fc4_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 28 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B))))) # label(rc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 29 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 30 (all A exists B (m1_subset_1(B,k1_zfmisc_1(A)) & v1_xboole_0(B))) # label(rc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 31 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 32 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 33 (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].
% 0.71/1.03 34 (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].
% 0.71/1.03 35 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 36 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 37 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 38 (all A all B k2_xboole_0(A,B) = k2_xboole_0(B,A)) # label(commutativity_k2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 39 (all A all B k2_xboole_0(A,A) = A) # label(idempotence_k2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 40 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(B) & m1_group_2(B,A) & v1_group_1(C) & m1_group_2(C,A) -> (r1_group_2(A,B,C) -> r1_group_2(A,C,B)))) # label(symmetry_r1_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 41 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(B) & m1_group_2(B,A) & v1_group_1(C) & m1_group_2(C,A) -> r1_group_2(A,B,B))) # label(reflexivity_r1_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 42 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 43 (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].
% 0.71/1.03 44 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 45 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 46 (all A all B all C all D (v1_funct_1(C) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) -> k2_funct_2(A,B,C,D) = k9_relat_1(C,D))) # label(redefinition_k2_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 47 (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].
% 0.71/1.03 48 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(B) & m1_group_2(B,A) & v1_group_1(C) & m1_group_2(C,A) -> (r1_group_2(A,B,C) <-> B = C))) # label(redefinition_r1_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 49 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 50 (all A all B all C all D (v1_funct_1(C) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) -> m1_subset_1(k2_funct_2(A,B,C,D),k1_zfmisc_1(B)))) # label(dt_k2_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 51 $T # label(dt_k2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 52 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v1_group_1(k5_group_4(A,B)) & m1_group_2(k5_group_4(A,B),A))) # label(dt_k5_group_4) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 53 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) -> v1_group_1(k8_group_4(A,B,C)) & m1_group_2(k8_group_4(A,B,C),A))) # label(dt_k8_group_4) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 54 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 55 (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].
% 0.71/1.03 56 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 57 (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].
% 0.71/1.03 58 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 59 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 60 (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].
% 0.71/1.03 61 (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) -> (all C (m1_group_2(C,A) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (D = k2_xboole_0(u1_struct_0(B),u1_struct_0(C)) -> r1_group_2(A,k8_group_4(A,B,C),k5_group_4(A,D))))))))))) # label(t4_latsubgr) # label(axiom) # label(non_clause). [assumption].
% 0.71/1.03 62 -(all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> (all E (v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) -> (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> (F = k2_xboole_0(u1_struct_0(C),u1_struct_0(D)) -> k2_funct_2(u1_struct_0(A),u1_struct_0(B),E,u1_struct_0(k8_group_4(A,C,D))) = k2_funct_2(u1_struct_0(A),u1_struct_0(B),E,u1_struct_0(k5_group_4(A,F)))))))))))))))) # label(t13_latsubgr) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.71/1.03
% 0.71/1.03 ============================== end of process non-clausal formulas ===
% 0.71/1.03
% 0.71/1.03 ============================== PROCESS INITIAL CLAUSES ===============
% 0.71/1.03
% 0.71/1.03 ============================== PREDICATE ELIMINATION =================
% 0.71/1.03 63 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(24)].
% 0.71/1.03 64 l1_struct_0(c1) # label(existence_l1_struct_0) # label(axiom). [clausify(15)].
% 0.71/1.03 65 l1_struct_0(c4) # label(rc3_struct_0) # label(axiom). [clausify(32)].
% 0.71/1.03 66 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(54)].
% 0.71/1.03 Derived: v3_struct_0(c1) | -v1_xboole_0(u1_struct_0(c1)). [resolve(63,b,64,a)].
% 0.71/1.03 Derived: v3_struct_0(c4) | -v1_xboole_0(u1_struct_0(c4)). [resolve(63,b,65,a)].
% 0.71/1.03 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_group_1(A). [resolve(63,b,66,b)].
% 0.71/1.03 67 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f6(A)) # label(rc5_struct_0) # label(axiom). [clausify(33)].
% 0.71/1.03 Derived: v3_struct_0(c1) | -v1_xboole_0(f6(c1)). [resolve(67,b,64,a)].
% 0.71/1.03 Derived: v3_struct_0(c4) | -v1_xboole_0(f6(c4)). [resolve(67,b,65,a)].
% 0.71/1.03 Derived: v3_struct_0(A) | -v1_xboole_0(f6(A)) | -l1_group_1(A). [resolve(67,b,66,b)].
% 0.71/1.03 68 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f6(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(33)].
% 0.71/1.03 Derived: v3_struct_0(c1) | m1_subset_1(f6(c1),k1_zfmisc_1(u1_struct_0(c1))). [resolve(68,b,64,a)].
% 0.71/1.03 Derived: v3_struct_0(c4) | m1_subset_1(f6(c4),k1_zfmisc_1(u1_struct_0(c4))). [resolve(68,b,65,a)].
% 0.71/1.03 Derived: v3_struct_0(A) | m1_subset_1(f6(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_group_1(A). [resolve(68,b,66,b)].
% 0.71/1.03 69 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_group_1(k5_group_4(A,B)) # label(dt_k5_group_4) # label(axiom). [clausify(52)].
% 0.71/1.03 70 v4_group_1(c6) # label(t13_latsubgr) # label(negated_conjecture). [clausify(62)].
% 0.71/1.03 71 v4_group_1(c7) # label(t13_latsubgr) # label(negated_conjecture). [clausify(62)].
% 0.71/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c6))) | v1_group_1(k5_group_4(c6,A)). [resolve(69,c,70,a)].
% 0.71/1.03 Derived: v3_struct_0(c7) | -v3_group_1(c7) | -l1_group_1(c7) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c7))) | v1_group_1(k5_group_4(c7,A)). [resolve(69,c,71,a)].
% 0.71/1.03 72 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_group_2(k5_group_4(A,B),A) # label(dt_k5_group_4) # label(axiom). [clausify(52)].
% 0.71/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c6))) | m1_group_2(k5_group_4(c6,A),c6). [resolve(72,c,70,a)].
% 0.71/1.03 Derived: v3_struct_0(c7) | -v3_group_1(c7) | -l1_group_1(c7) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c7))) | m1_group_2(k5_group_4(c7,A),c7). [resolve(72,c,71,a)].
% 0.71/1.03 73 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -m1_group_2(C,A) | v1_group_1(k8_group_4(A,B,C)) # label(dt_k8_group_4) # label(axiom). [clausify(53)].
% 0.71/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(A,c6) | -m1_group_2(B,c6) | v1_group_1(k8_group_4(c6,A,B)). [resolve(73,c,70,a)].
% 0.71/1.03 Derived: v3_struct_0(c7) | -v3_group_1(c7) | -l1_group_1(c7) | -m1_group_2(A,c7) | -m1_group_2(B,c7) | v1_group_1(k8_group_4(c7,A,B)). [resolve(73,c,71,a)].
% 0.71/1.03 74 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -m1_group_2(C,A) | m1_group_2(k8_group_4(A,B,C),A) # label(dt_k8_group_4) # label(axiom). [clausify(53)].
% 0.71/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(A,c6) | -m1_group_2(B,c6) | m1_group_2(k8_group_4(c6,A,B),c6). [resolve(74,c,70,a)].
% 0.71/1.03 Derived: v3_struct_0(c7) | -v3_group_1(c7) | -l1_group_1(c7) | -m1_group_2(A,c7) | -m1_group_2(B,c7) | m1_group_2(k8_group_4(c7,A,B),c7). [resolve(74,c,71,a)].
% 0.71/1.03 75 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_group_1(B) | -m1_group_2(B,A) | -v1_group_1(C) | -m1_group_2(C,A) | r1_group_2(A,B,B) # label(reflexivity_r1_group_2) # label(axiom). [clausify(41)].
% 0.71/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_group_1(A) | -m1_group_2(A,c6) | -v1_group_1(B) | -m1_group_2(B,c6) | r1_group_2(c6,A,A). [resolve(75,c,70,a)].
% 0.71/1.03 Derived: v3_struct_0(c7) | -v3_group_1(c7) | -l1_group_1(c7) | -v1_group_1(A) | -m1_group_2(A,c7) | -v1_group_1(B) | -m1_group_2(B,c7) | r1_group_2(c7,A,A). [resolve(75,c,71,a)].
% 0.71/1.03 76 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_group_1(B) | -m1_group_2(B,A) | -v1_group_1(C) | -m1_group_2(C,A) | -r1_group_2(A,B,C) | C = B # label(redefinition_r1_group_2) # label(axiom). [clausify(48)].
% 0.71/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_group_1(A) | -m1_group_2(A,c6) | -v1_group_1(B) | -m1_group_2(B,c6) | -r1_group_2(c6,A,B) | B = A. [resolve(76,c,70,a)].
% 0.71/1.03 Derived: v3_struct_0(c7) | -v3_group_1(c7) | -l1_group_1(c7) | -v1_group_1(A) | -m1_group_2(A,c7) | -v1_group_1(B) | -m1_group_2(B,c7) | -r1_group_2(c7,A,B) | B = A. [resolve(76,c,71,a)].
% 0.71/1.03 77 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_group_1(B) | -m1_group_2(B,A) | -v1_group_1(C) | -m1_group_2(C,A) | r1_group_2(A,B,C) | C != B # label(redefinition_r1_group_2) # label(axiom). [clausify(48)].
% 0.71/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_group_1(A) | -m1_group_2(A,c6) | -v1_group_1(B) | -m1_group_2(B,c6) | r1_group_2(c6,A,B) | B != A. [resolve(77,c,70,a)].
% 0.71/1.03 Derived: v3_struct_0(c7) | -v3_group_1(c7) | -l1_group_1(c7) | -v1_group_1(A) | -m1_group_2(A,c7) | -v1_group_1(B) | -m1_group_2(B,c7) | r1_group_2(c7,A,B) | B != A. [resolve(77,c,71,a)].
% 0.71/1.03 78 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_group_1(B) | -m1_group_2(B,A) | -v1_group_1(C) | -m1_group_2(C,A) | -r1_group_2(A,B,C) | r1_group_2(A,C,B) # label(symmetry_r1_group_2) # label(axiom). [clausify(40)].
% 0.71/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_group_1(A) | -m1_group_2(A,c6) | -v1_group_1(B) | -m1_group_2(B,c6) | -r1_group_2(c6,A,B) | r1_group_2(c6,B,A). [resolve(78,c,70,a)].
% 0.71/1.03 Derived: v3_struct_0(c7) | -v3_group_1(c7) | -l1_group_1(c7) | -v1_group_1(A) | -m1_group_2(A,c7) | -v1_group_1(B) | -m1_group_2(B,c7) | -r1_group_2(c7,A,B) | r1_group_2(c7,B,A). [resolve(78,c,71,a)].
% 0.71/1.03 79 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -m1_group_2(C,A) | -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) | k2_xboole_0(u1_struct_0(B),u1_struct_0(C)) != D | r1_group_2(A,k8_group_4(A,B,C),k5_group_4(A,D)) # label(t4_latsubgr) # label(axiom). [clausify(61)].
% 0.71/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(A,c6) | -m1_group_2(B,c6) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(c6))) | k2_xboole_0(u1_struct_0(A),u1_struct_0(B)) != C | r1_group_2(c6,k8_group_4(c6,A,B),k5_group_4(c6,C)). [resolve(79,c,70,a)].
% 0.71/1.03 Derived: v3_struct_0(c7) | -v3_group_1(c7) | -l1_group_1(c7) | -m1_group_2(A,c7) | -m1_group_2(B,c7) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(c7))) | k2_xboole_0(u1_struct_0(A),u1_struct_0(B)) != C | r1_group_2(c7,k8_group_4(c7,A,B),k5_group_4(c7,C)). [resolve(79,c,71,a)].
% 0.71/1.03 80 -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(6)].
% 0.71/1.03 81 v1_funct_1(c10) # label(t13_latsubgr) # label(negated_conjecture). [clausify(62)].
% 0.71/1.03 82 v1_funct_1(f1(A,B)) # label(rc1_funct_2) # label(axiom). [clausify(7)].
% 0.71/1.03 83 v1_funct_1(f2(A,B)) # label(rc2_partfun1) # label(axiom). [clausify(8)].
% 0.71/1.03 84 -l1_group_1(A) | v1_funct_1(u1_group_1(A)) # label(dt_u1_group_1) # label(axiom). [clausify(5)].
% 0.71/1.03 Derived: -m1_relset_1(c10,A,B) | -v1_partfun1(c10,A,B) | v1_funct_2(c10,A,B). [resolve(80,b,81,a)].
% 0.71/1.03 Derived: -m1_relset_1(f1(A,B),C,D) | -v1_partfun1(f1(A,B),C,D) | v1_funct_2(f1(A,B),C,D). [resolve(80,b,82,a)].
% 0.71/1.03 Derived: -m1_relset_1(f2(A,B),C,D) | -v1_partfun1(f2(A,B),C,D) | v1_funct_2(f2(A,B),C,D). [resolve(80,b,83,a)].
% 0.71/1.04 Derived: -m1_relset_1(u1_group_1(A),B,C) | -v1_partfun1(u1_group_1(A),B,C) | v1_funct_2(u1_group_1(A),B,C) | -l1_group_1(A). [resolve(80,b,84,b)].
% 0.71/1.04 85 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(22)].
% 0.71/1.04 Derived: v1_xboole_0(A) | -m1_relset_1(c10,B,A) | -v1_funct_2(c10,B,A) | v1_partfun1(c10,B,A). [resolve(85,c,81,a)].
% 0.71/1.04 Derived: v1_xboole_0(A) | -m1_relset_1(f1(B,C),D,A) | -v1_funct_2(f1(B,C),D,A) | v1_partfun1(f1(B,C),D,A). [resolve(85,c,82,a)].
% 0.71/1.04 Derived: v1_xboole_0(A) | -m1_relset_1(f2(B,C),D,A) | -v1_funct_2(f2(B,C),D,A) | v1_partfun1(f2(B,C),D,A). [resolve(85,c,83,a)].
% 0.71/1.04 Derived: v1_xboole_0(A) | -m1_relset_1(u1_group_1(B),C,A) | -v1_funct_2(u1_group_1(B),C,A) | v1_partfun1(u1_group_1(B),C,A) | -l1_group_1(B). [resolve(85,c,84,b)].
% 0.71/1.04 86 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_xboole_0(C) # label(cc6_funct_2) # label(axiom). [clausify(23)].
% 0.71/1.04 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(c10,A,B) | -v1_funct_2(c10,A,B) | -v1_xboole_0(c10). [resolve(86,d,81,a)].
% 0.71/1.04 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(f1(C,D),A,B) | -v1_funct_2(f1(C,D),A,B) | -v1_xboole_0(f1(C,D)). [resolve(86,d,82,a)].
% 0.71/1.04 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(f2(C,D),A,B) | -v1_funct_2(f2(C,D),A,B) | -v1_xboole_0(f2(C,D)). [resolve(86,d,83,a)].
% 0.71/1.04 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(u1_group_1(C),A,B) | -v1_funct_2(u1_group_1(C),A,B) | -v1_xboole_0(u1_group_1(C)) | -l1_group_1(C). [resolve(86,d,84,b)].
% 0.71/1.04 87 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | v1_group_1(g1_group_1(B,A)) # label(dt_g1_group_1) # label(axiom). [clausify(3)].
% 0.71/1.04 Derived: -v1_funct_2(c10,k2_zfmisc_1(A,A),A) | -m1_relset_1(c10,k2_zfmisc_1(A,A),A) | v1_group_1(g1_group_1(A,c10)). [resolve(87,a,81,a)].
% 0.71/1.04 Derived: -v1_funct_2(f1(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f1(A,B),k2_zfmisc_1(C,C),C) | v1_group_1(g1_group_1(C,f1(A,B))). [resolve(87,a,82,a)].
% 0.71/1.04 Derived: -v1_funct_2(f2(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f2(A,B),k2_zfmisc_1(C,C),C) | v1_group_1(g1_group_1(C,f2(A,B))). [resolve(87,a,83,a)].
% 0.71/1.04 Derived: -v1_funct_2(u1_group_1(A),k2_zfmisc_1(B,B),B) | -m1_relset_1(u1_group_1(A),k2_zfmisc_1(B,B),B) | v1_group_1(g1_group_1(B,u1_group_1(A))) | -l1_group_1(A). [resolve(87,a,84,b)].
% 0.71/1.04 88 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | l1_group_1(g1_group_1(B,A)) # label(dt_g1_group_1) # label(axiom). [clausify(3)].
% 0.71/1.04 Derived: -v1_funct_2(c10,k2_zfmisc_1(A,A),A) | -m1_relset_1(c10,k2_zfmisc_1(A,A),A) | l1_group_1(g1_group_1(A,c10)). [resolve(88,a,81,a)].
% 0.71/1.04 Derived: -v1_funct_2(f1(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f1(A,B),k2_zfmisc_1(C,C),C) | l1_group_1(g1_group_1(C,f1(A,B))). [resolve(88,a,82,a)].
% 0.71/1.04 Derived: -v1_funct_2(f2(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f2(A,B),k2_zfmisc_1(C,C),C) | l1_group_1(g1_group_1(C,f2(A,B))). [resolve(88,a,83,a)].
% 0.71/1.04 Derived: -v1_funct_2(u1_group_1(A),k2_zfmisc_1(B,B),B) | -m1_relset_1(u1_group_1(A),k2_zfmisc_1(B,B),B) | l1_group_1(g1_group_1(B,u1_group_1(A))) | -l1_group_1(A). [resolve(88,a,84,b)].
% 0.71/1.04 89 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(23)].
% 0.71/1.04 90 -v1_funct_1(A) | -v1_funct_2(A,B,C) | -m1_relset_1(A,B,C) | m1_subset_1(k2_funct_2(B,C,A,D),k1_zfmisc_1(C)) # label(dt_k2_funct_2) # label(axiom). [clausify(50)].
% 0.71/1.04 Derived: -v1_funct_2(c10,A,B) | -m1_relset_1(c10,A,B) | m1_subset_1(k2_funct_2(A,B,c10,C),k1_zfmisc_1(B)). [resolve(90,a,81,a)].
% 0.71/1.04 Derived: -v1_funct_2(f1(A,B),C,D) | -m1_relset_1(f1(A,B),C,D) | m1_subset_1(k2_funct_2(C,D,f1(A,B),E),k1_zfmisc_1(D)). [resolve(90,a,82,a)].
% 0.71/1.04 Derived: -v1_funct_2(f2(A,B),C,D) | -m1_relset_1(f2(A,B),C,D) | m1_subset_1(k2_funct_2(C,D,f2(A,B),E),k1_zfmisc_1(D)). [resolve(90,a,83,a)].
% 0.71/1.04 Derived: -v1_funct_2(u1_group_1(A),B,C) | -m1_relset_1(u1_group_1(A),B,C) | m1_subset_1(k2_funct_2(B,C,u1_group_1(A),D),k1_zfmisc_1(C)) | -l1_group_1(A). [resolve(90,a,84,b)].
% 0.71/1.04 91 -v1_funct_1(A) | -v1_funct_2(A,B,C) | -m1_relset_1(A,B,C) | k9_relat_1(A,D) = k2_funct_2(B,C,A,D) # label(redefinition_k2_funct_2) # label(axiom). [clausify(46)].
% 0.71/1.04 Derived: -v1_funct_2(c10,A,B) | -m1_relset_1(c10,A,B) | k9_relat_1(c10,C) = k2_funct_2(A,B,c10,C). [resolve(91,a,81,a)].
% 0.71/1.04 Derived: -v1_funct_2(f1(A,B),C,D) | -m1_relset_1(f1(A,B),C,D) | k9_relat_1(f1(A,B),E) = k2_funct_2(C,D,f1(A,B),E). [resolve(91,a,82,a)].
% 0.71/1.04 Derived: -v1_funct_2(f2(A,B),C,D) | -m1_relset_1(f2(A,B),C,D) | k9_relat_1(f2(A,B),E) = k2_funct_2(C,D,f2(A,B),E). [resolve(91,a,83,a)].
% 0.71/1.04 Derived: -v1_funct_2(u1_group_1(A),B,C) | -m1_relset_1(u1_group_1(A),B,C) | k9_relat_1(u1_group_1(A),D) = k2_funct_2(B,C,u1_group_1(A),D) | -l1_group_1(A). [resolve(91,a,84,b)].
% 0.71/1.04 92 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | g1_group_1(C,D) != g1_group_1(B,A) | C = B # label(free_g1_group_1) # label(axiom). [clausify(1)].
% 0.71/1.04 Derived: -v1_funct_2(c10,k2_zfmisc_1(A,A),A) | -m1_relset_1(c10,k2_zfmisc_1(A,A),A) | g1_group_1(B,C) != g1_group_1(A,c10) | B = A. [resolve(92,a,81,a)].
% 0.71/1.04 Derived: -v1_funct_2(f1(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f1(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f1(A,B)) | D = C. [resolve(92,a,82,a)].
% 0.71/1.04 Derived: -v1_funct_2(f2(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f2(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f2(A,B)) | D = C. [resolve(92,a,83,a)].
% 0.71/1.04 Derived: -v1_funct_2(u1_group_1(A),k2_zfmisc_1(B,B),B) | -m1_relset_1(u1_group_1(A),k2_zfmisc_1(B,B),B) | g1_group_1(C,D) != g1_group_1(B,u1_group_1(A)) | C = B | -l1_group_1(A). [resolve(92,a,84,b)].
% 0.71/1.04 93 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | g1_group_1(C,D) != g1_group_1(B,A) | D = A # label(free_g1_group_1) # label(axiom). [clausify(1)].
% 0.71/1.04 Derived: -v1_funct_2(c10,k2_zfmisc_1(A,A),A) | -m1_relset_1(c10,k2_zfmisc_1(A,A),A) | g1_group_1(B,C) != g1_group_1(A,c10) | C = c10. [resolve(93,a,81,a)].
% 0.71/1.04 Derived: -v1_funct_2(f1(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f1(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f1(A,B)) | E = f1(A,B). [resolve(93,a,82,a)].
% 0.71/1.04 Derived: -v1_funct_2(f2(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f2(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f2(A,B)) | E = f2(A,B). [resolve(93,a,83,a)].
% 0.71/1.04 Derived: -v1_funct_2(u1_group_1(A),k2_zfmisc_1(B,B),B) | -m1_relset_1(u1_group_1(A),k2_zfmisc_1(B,B),B) | g1_group_1(C,D) != g1_group_1(B,u1_group_1(A)) | D = u1_group_1(A) | -l1_group_1(A). [resolve(93,a,84,b)].
% 0.71/1.04 94 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(60)].
% 0.71/1.04 95 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(13)].
% 0.71/1.04 96 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(60)].
% 0.71/1.04 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(94,b,95,a)].
% 0.71/1.04 97 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(47)].
% 0.71/1.04 98 m2_relset_1(f9(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(45)].
% 0.71/1.04 99 m2_relset_1(c10,u1_struct_0(c6),u1_struct_0(c7)) # label(t13_latsubgr) # label(negated_conjecture). [clausify(62)].
% 0.71/1.04 Derived: m1_relset_1(f9(A,B),A,B). [resolve(97,a,98,a)].
% 0.71/1.04 Derived: m1_relset_1(c10,u1_struct_0(c6),u1_struct_0(c7)). [resolve(97,a,99,a)].
% 0.71/1.04 100 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(47)].
% 0.71/1.04 101 -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(57)].
% 0.71/1.04 Derived: m1_subset_1(f9(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(101,a,98,a)].
% 0.71/1.04 Derived: m1_subset_1(c10,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(c6),u1_struct_0(c7)))). [resolve(101,a,99,a)].
% 0.71/1.04 Derived: m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | -m1_relset_1(A,B,C). [resolve(101,a,100,a)].
% 0.71/1.04 102 -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(5)].
% 4.53/4.85 Derived: -l1_group_1(A) | m1_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(102,b,97,a)].
% 4.53/4.85 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(102,b,101,a)].
% 4.53/4.85
% 4.53/4.85 ============================== end predicate elimination =============
% 4.53/4.85
% 4.53/4.85 Auto_denials: (non-Horn, no changes).
% 4.53/4.85
% 4.53/4.85 Term ordering decisions:
% 4.53/4.85 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. k2_zfmisc_1=1. g1_group_1=1. k2_xboole_0=1. k5_group_4=1. k9_relat_1=1. f1=1. f2=1. f3=1. f9=1. u1_struct_0=1. u1_group_1=1. k1_zfmisc_1=1. f4=1. f5=1. f6=1. f7=1. f8=1. k8_group_4=1. k2_funct_2=1.
% 4.53/4.85
% 4.53/4.85 ============================== end of process initial clauses ========
% 4.53/4.85
% 4.53/4.85 ============================== CLAUSES FOR SEARCH ====================
% 4.53/4.85
% 4.53/4.85 ============================== end of clauses for search =============
% 4.53/4.85
% 4.53/4.85 ============================== SEARCH ================================
% 4.53/4.85
% 4.53/4.85 % Starting search at 0.04 seconds.
% 4.53/4.85
% 4.53/4.85 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 560 (0.00 of 0.17 sec).
% 4.53/4.85
% 4.53/4.85 Low Water (keep): wt=40.000, iters=3767
% 4.53/4.85
% 4.53/4.85 Low Water (keep): wt=38.000, iters=3643
% 4.53/4.85
% 4.53/4.85 Low Water (keep): wt=36.000, iters=3438
% 4.53/4.85
% 4.53/4.85 Low Water (keep): wt=35.000, iters=3357
% 4.53/4.85
% 4.53/4.85 Low Water (keep): wt=33.000, iters=3348
% 4.53/4.85
% 4.53/4.85 Low Water (keep): wt=31.000, iters=3477
% 4.53/4.85
% 4.53/4.85 Low Water (keep): wt=30.000, iters=3357
% 4.53/4.85
% 4.53/4.85 Low Water (keep): wt=28.000, iters=3337
% 4.53/4.85
% 4.53/4.85 Low Water (keep): wt=27.000, iters=3836
% 4.53/4.85
% 4.53/4.85 Low Water (keep): wt=25.000, iters=3533
% 4.53/4.85
% 4.53/4.85 Low Water (keep): wt=24.000, iters=3391
% 4.53/4.85
% 4.53/4.85 Low Water (keep): wt=23.000, iters=3369
% 4.53/4.85
% 4.53/4.85 Low Water (keep): wt=22.000, iters=3796
% 4.53/4.85
% 4.53/4.85 Low Water (keep): wt=21.000, iters=3723
% 4.53/4.85
% 4.53/4.85 Low Water (keep): wt=19.000, iters=3397
% 4.53/4.85
% 4.53/4.85 Low Water (keep): wt=16.000, iters=3820
% 4.53/4.85
% 4.53/4.85 Low Water (keep): wt=15.000, iters=3362
% 4.53/4.85
% 4.53/4.85 Low Water (displace): id=5477, wt=48.000
% 4.53/4.85
% 4.53/4.85 Low Water (displace): id=5484, wt=47.000
% 4.53/4.85
% 4.53/4.85 Low Water (displace): id=5483, wt=46.000
% 4.53/4.85
% 4.53/4.85 Low Water (displace): id=5479, wt=45.000
% 4.53/4.85
% 4.53/4.85 Low Water (displace): id=5488, wt=44.000
% 4.53/4.85
% 4.53/4.85 Low Water (displace): id=5486, wt=43.000
% 4.53/4.85
% 4.53/4.85 Low Water (displace): id=6581, wt=42.000
% 4.53/4.85
% 4.53/4.85 Low Water (displace): id=6588, wt=41.000
% 4.53/4.85
% 4.53/4.85 Low Water (displace): id=6696, wt=40.000
% 4.53/4.85
% 4.53/4.85 Low Water (displace): id=6828, wt=39.000
% 4.53/4.85
% 4.53/4.85 Low Water (displace): id=12979, wt=15.000
% 4.53/4.85
% 4.53/4.85 Low Water (displace): id=13044, wt=14.000
% 4.53/4.85
% 4.53/4.85 ============================== PROOF =================================
% 4.53/4.85 % SZS status Theorem
% 4.53/4.85 % SZS output start Refutation
% 4.53/4.85
% 4.53/4.85 % Proof 1 at 3.75 (+ 0.09) seconds.
% 4.53/4.85 % Length of proof is 69.
% 4.53/4.85 % Level of proof is 10.
% 4.53/4.85 % Maximum clause weight is 30.000.
% 4.53/4.85 % Given clauses 4942.
% 4.53/4.85
% 4.53/4.85 38 (all A all B k2_xboole_0(A,B) = k2_xboole_0(B,A)) # label(commutativity_k2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 4.53/4.85 46 (all A all B all C all D (v1_funct_1(C) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) -> k2_funct_2(A,B,C,D) = k9_relat_1(C,D))) # label(redefinition_k2_funct_2) # label(axiom) # label(non_clause). [assumption].
% 4.53/4.85 47 (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].
% 4.53/4.85 48 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(B) & m1_group_2(B,A) & v1_group_1(C) & m1_group_2(C,A) -> (r1_group_2(A,B,C) <-> B = C))) # label(redefinition_r1_group_2) # label(axiom) # label(non_clause). [assumption].
% 4.53/4.85 52 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> v1_group_1(k5_group_4(A,B)) & m1_group_2(k5_group_4(A,B),A))) # label(dt_k5_group_4) # label(axiom) # label(non_clause). [assumption].
% 4.53/4.85 53 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) -> v1_group_1(k8_group_4(A,B,C)) & m1_group_2(k8_group_4(A,B,C),A))) # label(dt_k8_group_4) # label(axiom) # label(non_clause). [assumption].
% 4.53/4.85 61 (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) -> (all C (m1_group_2(C,A) -> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) -> (D = k2_xboole_0(u1_struct_0(B),u1_struct_0(C)) -> r1_group_2(A,k8_group_4(A,B,C),k5_group_4(A,D))))))))))) # label(t4_latsubgr) # label(axiom) # label(non_clause). [assumption].
% 4.53/4.85 62 -(all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & v4_group_1(B) & l1_group_1(B) -> (all C (m1_group_2(C,A) -> (all D (m1_group_2(D,A) -> (all E (v1_funct_1(E) & v1_funct_2(E,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) -> (all F (m1_subset_1(F,k1_zfmisc_1(u1_struct_0(A))) -> (F = k2_xboole_0(u1_struct_0(C),u1_struct_0(D)) -> k2_funct_2(u1_struct_0(A),u1_struct_0(B),E,u1_struct_0(k8_group_4(A,C,D))) = k2_funct_2(u1_struct_0(A),u1_struct_0(B),E,u1_struct_0(k5_group_4(A,F)))))))))))))))) # label(t13_latsubgr) # label(negated_conjecture) # label(non_clause). [assumption].
% 4.53/4.85 69 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_group_1(k5_group_4(A,B)) # label(dt_k5_group_4) # label(axiom). [clausify(52)].
% 4.53/4.85 70 v4_group_1(c6) # label(t13_latsubgr) # label(negated_conjecture). [clausify(62)].
% 4.53/4.85 72 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_group_2(k5_group_4(A,B),A) # label(dt_k5_group_4) # label(axiom). [clausify(52)].
% 4.53/4.85 73 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -m1_group_2(C,A) | v1_group_1(k8_group_4(A,B,C)) # label(dt_k8_group_4) # label(axiom). [clausify(53)].
% 4.53/4.85 74 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -m1_group_2(C,A) | m1_group_2(k8_group_4(A,B,C),A) # label(dt_k8_group_4) # label(axiom). [clausify(53)].
% 4.53/4.85 76 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_group_1(B) | -m1_group_2(B,A) | -v1_group_1(C) | -m1_group_2(C,A) | -r1_group_2(A,B,C) | C = B # label(redefinition_r1_group_2) # label(axiom). [clausify(48)].
% 4.53/4.85 79 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -m1_group_2(C,A) | -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) | k2_xboole_0(u1_struct_0(B),u1_struct_0(C)) != D | r1_group_2(A,k8_group_4(A,B,C),k5_group_4(A,D)) # label(t4_latsubgr) # label(axiom). [clausify(61)].
% 4.53/4.85 81 v1_funct_1(c10) # label(t13_latsubgr) # label(negated_conjecture). [clausify(62)].
% 4.53/4.85 91 -v1_funct_1(A) | -v1_funct_2(A,B,C) | -m1_relset_1(A,B,C) | k9_relat_1(A,D) = k2_funct_2(B,C,A,D) # label(redefinition_k2_funct_2) # label(axiom). [clausify(46)].
% 4.53/4.85 97 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(47)].
% 4.53/4.85 99 m2_relset_1(c10,u1_struct_0(c6),u1_struct_0(c7)) # label(t13_latsubgr) # label(negated_conjecture). [clausify(62)].
% 4.53/4.85 106 v3_group_1(c6) # label(t13_latsubgr) # label(negated_conjecture). [clausify(62)].
% 4.53/4.85 107 l1_group_1(c6) # label(t13_latsubgr) # label(negated_conjecture). [clausify(62)].
% 4.53/4.85 111 m1_group_2(c8,c6) # label(t13_latsubgr) # label(negated_conjecture). [clausify(62)].
% 4.53/4.85 112 m1_group_2(c9,c6) # label(t13_latsubgr) # label(negated_conjecture). [clausify(62)].
% 4.53/4.85 117 m1_subset_1(c11,k1_zfmisc_1(u1_struct_0(c6))) # label(t13_latsubgr) # label(negated_conjecture). [clausify(62)].
% 4.53/4.85 122 v1_funct_2(c10,u1_struct_0(c6),u1_struct_0(c7)) # label(t13_latsubgr) # label(negated_conjecture). [clausify(62)].
% 4.53/4.85 124 k2_xboole_0(A,B) = k2_xboole_0(B,A) # label(commutativity_k2_xboole_0) # label(axiom). [clausify(38)].
% 4.53/4.85 125 k2_xboole_0(u1_struct_0(c8),u1_struct_0(c9)) = c11 # label(t13_latsubgr) # label(negated_conjecture). [clausify(62)].
% 4.53/4.85 126 c11 = k2_xboole_0(u1_struct_0(c8),u1_struct_0(c9)). [copy(125),flip(a)].
% 4.53/4.85 129 -v3_struct_0(c6) # label(t13_latsubgr) # label(negated_conjecture). [clausify(62)].
% 4.53/4.85 135 k2_funct_2(u1_struct_0(c6),u1_struct_0(c7),c10,u1_struct_0(k8_group_4(c6,c8,c9))) != k2_funct_2(u1_struct_0(c6),u1_struct_0(c7),c10,u1_struct_0(k5_group_4(c6,c11))) # label(t13_latsubgr) # label(negated_conjecture). [clausify(62)].
% 4.53/4.85 136 k2_funct_2(u1_struct_0(c6),u1_struct_0(c7),c10,u1_struct_0(k5_group_4(c6,k2_xboole_0(u1_struct_0(c8),u1_struct_0(c9))))) != k2_funct_2(u1_struct_0(c6),u1_struct_0(c7),c10,u1_struct_0(k8_group_4(c6,c8,c9))). [copy(135),rewrite([126(18)]),flip(a)].
% 4.53/4.85 164 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c6))) | v1_group_1(k5_group_4(c6,A)). [resolve(69,c,70,a)].
% 4.53/4.85 165 -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c6))) | v1_group_1(k5_group_4(c6,A)). [copy(164),unit_del(a,129),unit_del(b,106),unit_del(c,107)].
% 4.53/4.85 168 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c6))) | m1_group_2(k5_group_4(c6,A),c6). [resolve(72,c,70,a)].
% 4.53/4.85 169 -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c6))) | m1_group_2(k5_group_4(c6,A),c6). [copy(168),unit_del(a,129),unit_del(b,106),unit_del(c,107)].
% 4.53/4.85 172 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(A,c6) | -m1_group_2(B,c6) | v1_group_1(k8_group_4(c6,A,B)). [resolve(73,c,70,a)].
% 4.53/4.85 173 -m1_group_2(A,c6) | -m1_group_2(B,c6) | v1_group_1(k8_group_4(c6,A,B)). [copy(172),unit_del(a,129),unit_del(b,106),unit_del(c,107)].
% 4.53/4.85 176 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(A,c6) | -m1_group_2(B,c6) | m1_group_2(k8_group_4(c6,A,B),c6). [resolve(74,c,70,a)].
% 4.53/4.85 177 -m1_group_2(A,c6) | -m1_group_2(B,c6) | m1_group_2(k8_group_4(c6,A,B),c6). [copy(176),unit_del(a,129),unit_del(b,106),unit_del(c,107)].
% 4.53/4.85 184 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_group_1(A) | -m1_group_2(A,c6) | -v1_group_1(B) | -m1_group_2(B,c6) | -r1_group_2(c6,A,B) | B = A. [resolve(76,c,70,a)].
% 4.53/4.85 185 -v1_group_1(A) | -m1_group_2(A,c6) | -v1_group_1(B) | -m1_group_2(B,c6) | -r1_group_2(c6,A,B) | B = A. [copy(184),unit_del(a,129),unit_del(b,106),unit_del(c,107)].
% 4.53/4.85 196 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(A,c6) | -m1_group_2(B,c6) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(c6))) | k2_xboole_0(u1_struct_0(A),u1_struct_0(B)) != C | r1_group_2(c6,k8_group_4(c6,A,B),k5_group_4(c6,C)). [resolve(79,c,70,a)].
% 4.53/4.85 197 -m1_group_2(A,c6) | -m1_group_2(B,c6) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(c6))) | k2_xboole_0(u1_struct_0(A),u1_struct_0(B)) != C | r1_group_2(c6,k8_group_4(c6,A,B),k5_group_4(c6,C)). [copy(196),unit_del(a,129),unit_del(b,106),unit_del(c,107)].
% 4.53/4.85 224 -v1_funct_2(c10,A,B) | -m1_relset_1(c10,A,B) | k9_relat_1(c10,C) = k2_funct_2(A,B,c10,C). [resolve(91,a,81,a)].
% 4.53/4.85 225 -v1_funct_2(c10,A,B) | -m1_relset_1(c10,A,B) | k2_funct_2(A,B,c10,C) = k9_relat_1(c10,C). [copy(224),flip(c)].
% 4.53/4.85 250 m1_relset_1(c10,u1_struct_0(c6),u1_struct_0(c7)). [resolve(97,a,99,a)].
% 4.53/4.85 256 m1_subset_1(k2_xboole_0(u1_struct_0(c8),u1_struct_0(c9)),k1_zfmisc_1(u1_struct_0(c6))). [back_rewrite(117),rewrite([126(1)])].
% 4.53/4.85 300 -m1_group_2(A,c6) | v1_group_1(k8_group_4(c6,c9,A)). [resolve(173,a,112,a)].
% 4.53/4.85 301 -m1_group_2(A,c6) | v1_group_1(k8_group_4(c6,c8,A)). [resolve(173,a,111,a)].
% 4.53/4.85 304 -m1_group_2(A,c6) | m1_group_2(k8_group_4(c6,c9,A),c6). [resolve(177,a,112,a)].
% 4.53/4.85 305 -m1_group_2(A,c6) | m1_group_2(k8_group_4(c6,c8,A),c6). [resolve(177,a,111,a)].
% 4.53/4.85 331 k2_funct_2(u1_struct_0(c6),u1_struct_0(c7),c10,A) = k9_relat_1(c10,A). [resolve(225,a,122,a),unit_del(a,250)].
% 4.53/4.85 333 k9_relat_1(c10,u1_struct_0(k5_group_4(c6,k2_xboole_0(u1_struct_0(c8),u1_struct_0(c9))))) != k9_relat_1(c10,u1_struct_0(k8_group_4(c6,c8,c9))). [back_rewrite(136),rewrite([331(14),331(21)])].
% 4.53/4.85 358 -m1_group_2(A,c6) | -m1_group_2(B,c6) | k2_xboole_0(u1_struct_0(c8),u1_struct_0(c9)) != k2_xboole_0(u1_struct_0(A),u1_struct_0(B)) | r1_group_2(c6,k8_group_4(c6,A,B),k5_group_4(c6,k2_xboole_0(u1_struct_0(c8),u1_struct_0(c9)))). [resolve(256,a,197,c),flip(c)].
% 4.53/4.85 359 m1_group_2(k5_group_4(c6,k2_xboole_0(u1_struct_0(c8),u1_struct_0(c9))),c6). [resolve(256,a,169,a)].
% 4.53/4.85 360 v1_group_1(k5_group_4(c6,k2_xboole_0(u1_struct_0(c8),u1_struct_0(c9)))). [resolve(256,a,165,a)].
% 4.53/4.85 725 v1_group_1(k8_group_4(c6,c9,c8)). [resolve(300,a,111,a)].
% 4.53/4.85 741 v1_group_1(k8_group_4(c6,c8,c9)). [resolve(301,a,112,a)].
% 4.53/4.85 802 m1_group_2(k8_group_4(c6,c9,c8),c6). [resolve(304,a,111,a)].
% 4.53/4.85 836 m1_group_2(k8_group_4(c6,c8,c9),c6). [resolve(305,a,112,a)].
% 4.53/4.85 1591 -m1_group_2(A,c6) | k2_xboole_0(u1_struct_0(c8),u1_struct_0(c9)) != k2_xboole_0(u1_struct_0(A),u1_struct_0(c9)) | r1_group_2(c6,k8_group_4(c6,c9,A),k5_group_4(c6,k2_xboole_0(u1_struct_0(c8),u1_struct_0(c9)))). [resolve(358,a,112,a),rewrite([124(11)])].
% 4.53/4.85 1592 -m1_group_2(A,c6) | k2_xboole_0(u1_struct_0(c8),u1_struct_0(c9)) != k2_xboole_0(u1_struct_0(A),u1_struct_0(c8)) | r1_group_2(c6,k8_group_4(c6,c8,A),k5_group_4(c6,k2_xboole_0(u1_struct_0(c8),u1_struct_0(c9)))). [resolve(358,a,111,a),rewrite([124(11)])].
% 4.53/4.85 15256 r1_group_2(c6,k8_group_4(c6,c9,c8),k5_group_4(c6,k2_xboole_0(u1_struct_0(c8),u1_struct_0(c9)))). [resolve(1591,a,111,a),xx(a)].
% 4.53/4.85 15257 r1_group_2(c6,k8_group_4(c6,c8,c9),k5_group_4(c6,k2_xboole_0(u1_struct_0(c8),u1_struct_0(c9)))). [resolve(1592,a,112,a),rewrite([124(10)]),xx(a)].
% 4.53/4.85 15431 k5_group_4(c6,k2_xboole_0(u1_struct_0(c8),u1_struct_0(c9))) = k8_group_4(c6,c9,c8). [resolve(15256,a,185,e),unit_del(a,725),unit_del(b,802),unit_del(c,360),unit_del(d,359)].
% 4.53/4.85 15432 r1_group_2(c6,k8_group_4(c6,c8,c9),k8_group_4(c6,c9,c8)). [back_rewrite(15257),rewrite([15431(12)])].
% 4.53/4.85 15433 k9_relat_1(c10,u1_struct_0(k8_group_4(c6,c9,c8))) != k9_relat_1(c10,u1_struct_0(k8_group_4(c6,c8,c9))). [back_rewrite(333),rewrite([15431(8)])].
% 4.53/4.85 15435 k8_group_4(c6,c9,c8) = k8_group_4(c6,c8,c9). [resolve(15432,a,185,e),unit_del(a,741),unit_del(b,836),unit_del(c,725),unit_del(d,802)].
% 4.53/4.85 15436 $F. [back_rewrite(15433),rewrite([15435(5)]),xx(a)].
% 4.53/4.85
% 4.53/4.85 % SZS output end Refutation
% 4.53/4.85 ============================== end of proof ==========================
% 4.53/4.85
% 4.53/4.85 ============================== STATISTICS ============================
% 4.53/4.85
% 4.53/4.85 Given=4942. Generated=193314. Kept=15297. proofs=1.
% 4.53/4.85 Usable=4836. Sos=9558. Demods=126. Limbo=1, Disabled=1063. Hints=0.
% 4.53/4.85 Megabytes=15.07.
% 4.53/4.85 User_CPU=3.75, System_CPU=0.09, Wall_clock=4.
% 4.53/4.85
% 4.53/4.85 ============================== end of statistics =====================
% 4.53/4.85
% 4.53/4.85 ============================== end of search =========================
% 4.53/4.85
% 4.53/4.85 THEOREM PROVED
% 4.53/4.85 % SZS status Theorem
% 4.53/4.85
% 4.53/4.85 Exiting with 1 proof.
% 4.53/4.85
% 4.53/4.85 Process 3470 exit (max_proofs) Mon Jun 13 22:53:10 2022
% 4.53/4.85 Prover9 interrupted
%------------------------------------------------------------------------------