TSTP Solution File: GRP645+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP645+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:20:11 EDT 2022
% Result : Theorem 0.76s 1.15s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP645+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 21:57:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.76/1.03 ============================== Prover9 ===============================
% 0.76/1.03 Prover9 (32) version 2009-11A, November 2009.
% 0.76/1.03 Process 11977 was started by sandbox on n017.cluster.edu,
% 0.76/1.03 Mon Jun 13 21:57:09 2022
% 0.76/1.03 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_11824_n017.cluster.edu".
% 0.76/1.03 ============================== end of head ===========================
% 0.76/1.03
% 0.76/1.03 ============================== INPUT =================================
% 0.76/1.03
% 0.76/1.03 % Reading from file /tmp/Prover9_11824_n017.cluster.edu
% 0.76/1.03
% 0.76/1.03 set(prolog_style_variables).
% 0.76/1.03 set(auto2).
% 0.76/1.03 % set(auto2) -> set(auto).
% 0.76/1.03 % set(auto) -> set(auto_inference).
% 0.76/1.03 % set(auto) -> set(auto_setup).
% 0.76/1.03 % set(auto_setup) -> set(predicate_elim).
% 0.76/1.03 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.76/1.03 % set(auto) -> set(auto_limits).
% 0.76/1.03 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.76/1.03 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.76/1.03 % set(auto) -> set(auto_denials).
% 0.76/1.03 % set(auto) -> set(auto_process).
% 0.76/1.03 % set(auto2) -> assign(new_constants, 1).
% 0.76/1.03 % set(auto2) -> assign(fold_denial_max, 3).
% 0.76/1.03 % set(auto2) -> assign(max_weight, "200.000").
% 0.76/1.03 % set(auto2) -> assign(max_hours, 1).
% 0.76/1.03 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.76/1.03 % set(auto2) -> assign(max_seconds, 0).
% 0.76/1.03 % set(auto2) -> assign(max_minutes, 5).
% 0.76/1.03 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.76/1.03 % set(auto2) -> set(sort_initial_sos).
% 0.76/1.03 % set(auto2) -> assign(sos_limit, -1).
% 0.76/1.03 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.76/1.03 % set(auto2) -> assign(max_megs, 400).
% 0.76/1.03 % set(auto2) -> assign(stats, some).
% 0.76/1.03 % set(auto2) -> clear(echo_input).
% 0.76/1.03 % set(auto2) -> set(quiet).
% 0.76/1.03 % set(auto2) -> clear(print_initial_clauses).
% 0.76/1.03 % set(auto2) -> clear(print_given).
% 0.76/1.03 assign(lrs_ticks,-1).
% 0.76/1.03 assign(sos_limit,10000).
% 0.76/1.03 assign(order,kbo).
% 0.76/1.03 set(lex_order_vars).
% 0.76/1.03 clear(print_given).
% 0.76/1.03
% 0.76/1.03 % formulas(sos). % not echoed (62 formulas)
% 0.76/1.03
% 0.76/1.03 ============================== end of input ==========================
% 0.76/1.03
% 0.76/1.03 % From the command line: assign(max_seconds, 300).
% 0.76/1.03
% 0.76/1.03 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.76/1.03
% 0.76/1.03 % Formulas that are not ordinary clauses:
% 0.76/1.03 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].
% 0.76/1.03 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 3 (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].
% 0.76/1.03 4 (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].
% 0.76/1.03 5 (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].
% 0.76/1.03 6 (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].
% 0.76/1.03 7 (all A all B k3_xboole_0(A,B) = k3_xboole_0(B,A)) # label(commutativity_k3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 8 (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) -> k9_group_2(A,B,C) = k9_group_2(A,C,B))) # label(commutativity_k9_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 9 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) -> (B = k1_latsubgr(A) <-> (all C (v1_group_1(C) & m1_group_2(C,A) -> k1_funct_1(B,C) = u1_struct_0(C)))))))) # label(d1_latsubgr) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 10 (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].
% 0.76/1.03 11 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 12 $T # label(dt_k1_group_3) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 13 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k1_latsubgr) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 14 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 15 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 16 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 17 $T # label(dt_k3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 18 (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_2(A,B,C)) & m1_group_2(k8_group_2(A,B,C),A))) # label(dt_k8_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 19 (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(k9_group_2(A,B,C)) & m1_group_2(k9_group_2(A,B,C),A))) # label(dt_k9_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 20 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 21 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 22 (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].
% 0.76/1.03 23 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 24 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 25 (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].
% 0.76/1.03 26 (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].
% 0.76/1.03 27 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 28 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 29 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 30 (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].
% 0.76/1.03 31 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 32 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 33 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 34 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> -v1_xboole_0(k1_group_3(A)))) # label(fc1_group_3) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 35 (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].
% 0.76/1.03 36 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 37 (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].
% 0.76/1.03 38 (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].
% 0.76/1.03 39 (all A all B k3_xboole_0(A,A) = A) # label(idempotence_k3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 40 (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].
% 0.76/1.03 41 (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].
% 0.76/1.03 42 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 43 (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].
% 0.76/1.03 44 (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].
% 0.76/1.03 45 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 46 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 47 (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].
% 0.76/1.03 48 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) & m1_group_2(C,A) -> k9_group_2(A,B,C) = k8_group_2(A,B,C))) # label(redefinition_k9_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 49 (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].
% 0.76/1.03 50 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 51 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 52 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> u1_struct_0(k9_group_2(A,B,C)) = k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C)))))))) # label(t23_latsubgr) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 53 (all A k3_xboole_0(A,k1_xboole_0) = k1_xboole_0) # label(t2_boole) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 54 (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].
% 0.76/1.03 55 (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].
% 0.76/1.03 56 (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].
% 0.76/1.03 57 (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].
% 0.76/1.03 58 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 59 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 60 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 61 -(all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> k1_funct_1(k1_latsubgr(A),k9_group_2(A,B,C)) = k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C)))))))) # label(t24_latsubgr) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.76/1.03
% 0.76/1.03 ============================== end of process non-clausal formulas ===
% 0.76/1.03
% 0.76/1.03 ============================== PROCESS INITIAL CLAUSES ===============
% 0.76/1.03
% 0.76/1.03 ============================== PREDICATE ELIMINATION =================
% 0.76/1.03 62 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(35)].
% 0.76/1.03 63 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(29)].
% 0.76/1.03 64 l1_struct_0(c5) # label(rc3_struct_0) # label(axiom). [clausify(46)].
% 0.76/1.03 65 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(20)].
% 0.76/1.03 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(62,b,63,a)].
% 0.76/1.03 Derived: v3_struct_0(c5) | -v1_xboole_0(u1_struct_0(c5)). [resolve(62,b,64,a)].
% 0.76/1.03 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_group_1(A). [resolve(62,b,65,b)].
% 0.76/1.03 66 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f10(A)) # label(rc5_struct_0) # label(axiom). [clausify(47)].
% 0.76/1.03 Derived: v3_struct_0(c2) | -v1_xboole_0(f10(c2)). [resolve(66,b,63,a)].
% 0.76/1.03 Derived: v3_struct_0(c5) | -v1_xboole_0(f10(c5)). [resolve(66,b,64,a)].
% 0.76/1.03 Derived: v3_struct_0(A) | -v1_xboole_0(f10(A)) | -l1_group_1(A). [resolve(66,b,65,b)].
% 0.76/1.03 67 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f10(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(47)].
% 0.76/1.03 Derived: v3_struct_0(c2) | m1_subset_1(f10(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(67,b,63,a)].
% 0.76/1.03 Derived: v3_struct_0(c5) | m1_subset_1(f10(c5),k1_zfmisc_1(u1_struct_0(c5))). [resolve(67,b,64,a)].
% 0.76/1.03 Derived: v3_struct_0(A) | m1_subset_1(f10(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_group_1(A). [resolve(67,b,65,b)].
% 0.76/1.03 68 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v1_funct_1(k1_latsubgr(A)) # label(dt_k1_latsubgr) # label(axiom). [clausify(13)].
% 0.76/1.03 69 v4_group_1(c6) # label(t24_latsubgr) # label(negated_conjecture). [clausify(61)].
% 0.76/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | v1_funct_1(k1_latsubgr(c6)). [resolve(68,c,69,a)].
% 0.76/1.03 70 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_xboole_0(k1_group_3(A)) # label(fc1_group_3) # label(axiom). [clausify(34)].
% 0.76/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_xboole_0(k1_group_3(c6)). [resolve(70,c,69,a)].
% 0.76/1.03 71 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v1_funct_2(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) # label(dt_k1_latsubgr) # label(axiom). [clausify(13)].
% 0.76/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | v1_funct_2(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))). [resolve(71,c,69,a)].
% 0.76/1.03 72 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m2_relset_1(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) # label(dt_k1_latsubgr) # label(axiom). [clausify(13)].
% 0.76/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | m2_relset_1(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))). [resolve(72,c,69,a)].
% 0.76/1.03 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_2(A,B,C)) # label(dt_k8_group_2) # label(axiom). [clausify(18)].
% 0.76/1.03 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_2(c6,A,B)). [resolve(73,c,69,a)].
% 0.76/1.03 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) | v1_group_1(k9_group_2(A,B,C)) # label(dt_k9_group_2) # label(axiom). [clausify(19)].
% 0.76/1.03 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(k9_group_2(c6,A,B)). [resolve(74,c,69,a)].
% 0.76/1.03 75 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_2(A,B,C),A) # label(dt_k8_group_2) # label(axiom). [clausify(18)].
% 0.76/1.03 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_2(c6,A,B),c6). [resolve(75,c,69,a)].
% 0.76/1.03 76 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(k9_group_2(A,B,C),A) # label(dt_k9_group_2) # label(axiom). [clausify(19)].
% 0.76/1.03 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(k9_group_2(c6,A,B),c6). [resolve(76,c,69,a)].
% 0.76/1.03 77 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) | k9_group_2(A,C,B) = k9_group_2(A,B,C) # label(commutativity_k9_group_2) # label(axiom). [clausify(8)].
% 0.76/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(A,c6) | -m1_group_2(B,c6) | k9_group_2(c6,B,A) = k9_group_2(c6,A,B). [resolve(77,c,69,a)].
% 0.76/1.03 78 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) | k8_group_2(A,B,C) = k9_group_2(A,B,C) # label(redefinition_k9_group_2) # label(axiom). [clausify(48)].
% 0.76/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(A,c6) | -m1_group_2(B,c6) | k8_group_2(c6,A,B) = k9_group_2(c6,A,B). [resolve(78,c,69,a)].
% 0.76/1.03 79 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_1(B) | -v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) = B | v1_group_1(f1(A,B)) # label(d1_latsubgr) # label(axiom). [clausify(9)].
% 0.76/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_1(A) | -v1_funct_2(A,k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(A,k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) = A | v1_group_1(f1(c6,A)). [resolve(79,c,69,a)].
% 0.76/1.03 80 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_1(B) | -v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) = B | m1_group_2(f1(A,B),A) # label(d1_latsubgr) # label(axiom). [clausify(9)].
% 0.76/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_1(A) | -v1_funct_2(A,k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(A,k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) = A | m1_group_2(f1(c6,A),c6). [resolve(80,c,69,a)].
% 0.76/1.03 81 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) | k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C)) = u1_struct_0(k9_group_2(A,B,C)) # label(t23_latsubgr) # label(axiom). [clausify(52)].
% 0.76/1.03 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) | k3_xboole_0(k1_funct_1(k1_latsubgr(c6),A),k1_funct_1(k1_latsubgr(c6),B)) = u1_struct_0(k9_group_2(c6,A,B)). [resolve(81,c,69,a)].
% 0.76/1.03 82 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_1(B) | -v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) = B | k1_funct_1(B,f1(A,B)) != u1_struct_0(f1(A,B)) # label(d1_latsubgr) # label(axiom). [clausify(9)].
% 0.76/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_1(A) | -v1_funct_2(A,k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(A,k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) = A | k1_funct_1(A,f1(c6,A)) != u1_struct_0(f1(c6,A)). [resolve(82,c,69,a)].
% 0.76/1.03 83 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_1(B) | -v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) != B | -v1_group_1(C) | -m1_group_2(C,A) | k1_funct_1(B,C) = u1_struct_0(C) # label(d1_latsubgr) # label(axiom). [clausify(9)].
% 0.76/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_1(A) | -v1_funct_2(A,k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(A,k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) != A | -v1_group_1(B) | -m1_group_2(B,c6) | k1_funct_1(A,B) = u1_struct_0(B). [resolve(83,c,69,a)].
% 0.76/1.03 84 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(55)].
% 0.76/1.03 85 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(50)].
% 0.76/1.04 86 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(55)].
% 0.76/1.04 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(84,b,85,a)].
% 0.76/1.04 87 -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(3)].
% 0.76/1.04 88 v1_funct_1(f6(A,B)) # label(rc1_funct_2) # label(axiom). [clausify(40)].
% 0.76/1.04 89 v1_funct_1(f8(A,B)) # label(rc2_partfun1) # label(axiom). [clausify(43)].
% 0.76/1.04 90 -l1_group_1(A) | v1_funct_1(u1_group_1(A)) # label(dt_u1_group_1) # label(axiom). [clausify(26)].
% 0.76/1.04 Derived: -m1_relset_1(f6(A,B),C,D) | -v1_partfun1(f6(A,B),C,D) | v1_funct_2(f6(A,B),C,D). [resolve(87,b,88,a)].
% 0.76/1.04 Derived: -m1_relset_1(f8(A,B),C,D) | -v1_partfun1(f8(A,B),C,D) | v1_funct_2(f8(A,B),C,D). [resolve(87,b,89,a)].
% 0.76/1.04 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(87,b,90,b)].
% 0.76/1.04 91 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(5)].
% 0.76/1.04 Derived: v1_xboole_0(A) | -m1_relset_1(f6(B,C),D,A) | -v1_funct_2(f6(B,C),D,A) | v1_partfun1(f6(B,C),D,A). [resolve(91,c,88,a)].
% 0.76/1.04 Derived: v1_xboole_0(A) | -m1_relset_1(f8(B,C),D,A) | -v1_funct_2(f8(B,C),D,A) | v1_partfun1(f8(B,C),D,A). [resolve(91,c,89,a)].
% 0.76/1.04 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(91,c,90,b)].
% 0.76/1.04 92 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(6)].
% 0.76/1.04 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(f6(C,D),A,B) | -v1_funct_2(f6(C,D),A,B) | -v1_xboole_0(f6(C,D)). [resolve(92,d,88,a)].
% 0.76/1.04 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(f8(C,D),A,B) | -v1_funct_2(f8(C,D),A,B) | -v1_xboole_0(f8(C,D)). [resolve(92,d,89,a)].
% 0.76/1.04 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(92,d,90,b)].
% 0.76/1.04 93 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(6)].
% 0.76/1.04 94 -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(10)].
% 0.76/1.04 Derived: -v1_funct_2(f6(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f6(A,B),k2_zfmisc_1(C,C),C) | v1_group_1(g1_group_1(C,f6(A,B))). [resolve(94,a,88,a)].
% 0.76/1.04 Derived: -v1_funct_2(f8(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f8(A,B),k2_zfmisc_1(C,C),C) | v1_group_1(g1_group_1(C,f8(A,B))). [resolve(94,a,89,a)].
% 0.76/1.04 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(94,a,90,b)].
% 0.76/1.04 95 -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(10)].
% 0.76/1.04 Derived: -v1_funct_2(f6(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f6(A,B),k2_zfmisc_1(C,C),C) | l1_group_1(g1_group_1(C,f6(A,B))). [resolve(95,a,88,a)].
% 0.76/1.04 Derived: -v1_funct_2(f8(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f8(A,B),k2_zfmisc_1(C,C),C) | l1_group_1(g1_group_1(C,f8(A,B))). [resolve(95,a,89,a)].
% 0.76/1.04 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(95,a,90,b)].
% 0.76/1.04 96 -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(38)].
% 0.76/1.04 Derived: -v1_funct_2(f6(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f6(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f6(A,B)) | D = C. [resolve(96,a,88,a)].
% 0.76/1.04 Derived: -v1_funct_2(f8(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f8(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f8(A,B)) | D = C. [resolve(96,a,89,a)].
% 0.76/1.04 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(96,a,90,b)].
% 0.76/1.04 97 -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(38)].
% 0.76/1.04 Derived: -v1_funct_2(f6(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f6(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f6(A,B)) | E = f6(A,B). [resolve(97,a,88,a)].
% 0.76/1.04 Derived: -v1_funct_2(f8(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f8(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f8(A,B)) | E = f8(A,B). [resolve(97,a,89,a)].
% 0.76/1.04 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(97,a,90,b)].
% 0.76/1.04 98 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | v1_funct_1(k1_latsubgr(c6)). [resolve(68,c,69,a)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_relset_1(k1_latsubgr(c6),A,B) | -v1_partfun1(k1_latsubgr(c6),A,B) | v1_funct_2(k1_latsubgr(c6),A,B). [resolve(98,d,87,b)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | v1_xboole_0(A) | -m1_relset_1(k1_latsubgr(c6),B,A) | -v1_funct_2(k1_latsubgr(c6),B,A) | v1_partfun1(k1_latsubgr(c6),B,A). [resolve(98,d,91,c)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(k1_latsubgr(c6),A,B) | -v1_funct_2(k1_latsubgr(c6),A,B) | -v1_xboole_0(k1_latsubgr(c6)). [resolve(98,d,92,d)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | -m1_relset_1(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | v1_group_1(g1_group_1(A,k1_latsubgr(c6))). [resolve(98,d,94,a)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | -m1_relset_1(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | l1_group_1(g1_group_1(A,k1_latsubgr(c6))). [resolve(98,d,95,a)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | -m1_relset_1(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | g1_group_1(B,C) != g1_group_1(A,k1_latsubgr(c6)) | B = A. [resolve(98,d,96,a)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | -m1_relset_1(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | g1_group_1(B,C) != g1_group_1(A,k1_latsubgr(c6)) | C = k1_latsubgr(c6). [resolve(98,d,97,a)].
% 0.76/1.04 99 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_1(A) | -v1_funct_2(A,k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(A,k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) = A | v1_group_1(f1(c6,A)). [resolve(79,c,69,a)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(f6(A,B),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(f6(A,B),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) = f6(A,B) | v1_group_1(f1(c6,f6(A,B))). [resolve(99,d,88,a)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(f8(A,B),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(f8(A,B),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) = f8(A,B) | v1_group_1(f1(c6,f8(A,B))). [resolve(99,d,89,a)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(u1_group_1(A),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(u1_group_1(A),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) = u1_group_1(A) | v1_group_1(f1(c6,u1_group_1(A))) | -l1_group_1(A). [resolve(99,d,90,b)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) = k1_latsubgr(c6) | v1_group_1(f1(c6,k1_latsubgr(c6))) | v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6). [resolve(99,d,98,d)].
% 0.76/1.04 100 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_1(A) | -v1_funct_2(A,k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(A,k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) = A | m1_group_2(f1(c6,A),c6). [resolve(80,c,69,a)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(f6(A,B),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(f6(A,B),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) = f6(A,B) | m1_group_2(f1(c6,f6(A,B)),c6). [resolve(100,d,88,a)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(f8(A,B),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(f8(A,B),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) = f8(A,B) | m1_group_2(f1(c6,f8(A,B)),c6). [resolve(100,d,89,a)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(u1_group_1(A),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(u1_group_1(A),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) = u1_group_1(A) | m1_group_2(f1(c6,u1_group_1(A)),c6) | -l1_group_1(A). [resolve(100,d,90,b)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) = k1_latsubgr(c6) | m1_group_2(f1(c6,k1_latsubgr(c6)),c6) | v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6). [resolve(100,d,98,d)].
% 0.76/1.04 101 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_1(A) | -v1_funct_2(A,k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(A,k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) = A | k1_funct_1(A,f1(c6,A)) != u1_struct_0(f1(c6,A)). [resolve(82,c,69,a)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(f6(A,B),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(f6(A,B),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) = f6(A,B) | k1_funct_1(f6(A,B),f1(c6,f6(A,B))) != u1_struct_0(f1(c6,f6(A,B))). [resolve(101,d,88,a)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(f8(A,B),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(f8(A,B),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) = f8(A,B) | k1_funct_1(f8(A,B),f1(c6,f8(A,B))) != u1_struct_0(f1(c6,f8(A,B))). [resolve(101,d,89,a)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(u1_group_1(A),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(u1_group_1(A),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) = u1_group_1(A) | k1_funct_1(u1_group_1(A),f1(c6,u1_group_1(A))) != u1_struct_0(f1(c6,u1_group_1(A))) | -l1_group_1(A). [resolve(101,d,90,b)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) = k1_latsubgr(c6) | k1_funct_1(k1_latsubgr(c6),f1(c6,k1_latsubgr(c6))) != u1_struct_0(f1(c6,k1_latsubgr(c6))) | v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6). [resolve(101,d,98,d)].
% 0.76/1.04 102 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_1(A) | -v1_funct_2(A,k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(A,k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) != A | -v1_group_1(B) | -m1_group_2(B,c6) | k1_funct_1(A,B) = u1_struct_0(B). [resolve(83,c,69,a)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(f6(A,B),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(f6(A,B),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) != f6(A,B) | -v1_group_1(C) | -m1_group_2(C,c6) | k1_funct_1(f6(A,B),C) = u1_struct_0(C). [resolve(102,d,88,a)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(f8(A,B),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(f8(A,B),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) != f8(A,B) | -v1_group_1(C) | -m1_group_2(C,c6) | k1_funct_1(f8(A,B),C) = u1_struct_0(C). [resolve(102,d,89,a)].
% 0.76/1.15 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(u1_group_1(A),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(u1_group_1(A),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) != u1_group_1(A) | -v1_group_1(B) | -m1_group_2(B,c6) | k1_funct_1(u1_group_1(A),B) = u1_struct_0(B) | -l1_group_1(A). [resolve(102,d,90,b)].
% 0.76/1.15 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) != k1_latsubgr(c6) | -v1_group_1(A) | -m1_group_2(A,c6) | k1_funct_1(k1_latsubgr(c6),A) = u1_struct_0(A) | v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6). [resolve(102,d,98,d)].
% 0.76/1.15
% 0.76/1.15 ============================== end predicate elimination =============
% 0.76/1.15
% 0.76/1.15 Auto_denials: (non-Horn, no changes).
% 0.76/1.15
% 0.76/1.15 Term ordering decisions:
% 0.76/1.15 Function symbol KB weights: k1_xboole_0=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. k2_zfmisc_1=1. g1_group_1=1. k1_funct_1=1. k3_xboole_0=1. f1=1. f3=1. f5=1. f6=1. f8=1. k1_latsubgr=1. u1_struct_0=1. u1_group_1=1. k1_zfmisc_1=1. k1_group_3=1. f2=1. f4=1. f7=1. f9=1. f10=1. k9_group_2=1. k8_group_2=1.
% 0.76/1.15
% 0.76/1.15 ============================== end of process initial clauses ========
% 0.76/1.15
% 0.76/1.15 ============================== CLAUSES FOR SEARCH ====================
% 0.76/1.15
% 0.76/1.15 ============================== end of clauses for search =============
% 0.76/1.15
% 0.76/1.15 ============================== SEARCH ================================
% 0.76/1.15
% 0.76/1.15 % Starting search at 0.04 seconds.
% 0.76/1.15
% 0.76/1.15 ============================== PROOF =================================
% 0.76/1.15 % SZS status Theorem
% 0.76/1.15 % SZS output start Refutation
% 0.76/1.15
% 0.76/1.15 % Proof 1 at 0.14 (+ 0.00) seconds.
% 0.76/1.15 % Length of proof is 50.
% 0.76/1.15 % Level of proof is 8.
% 0.76/1.15 % Maximum clause weight is 25.000.
% 0.76/1.15 % Given clauses 364.
% 0.76/1.15
% 0.76/1.15 7 (all A all B k3_xboole_0(A,B) = k3_xboole_0(B,A)) # label(commutativity_k3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.15 9 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_funct_1(B) & v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) -> (B = k1_latsubgr(A) <-> (all C (v1_group_1(C) & m1_group_2(C,A) -> k1_funct_1(B,C) = u1_struct_0(C)))))))) # label(d1_latsubgr) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.15 13 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> v1_funct_1(k1_latsubgr(A)) & v1_funct_2(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) & m2_relset_1(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k1_latsubgr) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.15 19 (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(k9_group_2(A,B,C)) & m1_group_2(k9_group_2(A,B,C),A))) # label(dt_k9_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.15 52 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> u1_struct_0(k9_group_2(A,B,C)) = k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C)))))))) # label(t23_latsubgr) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.15 61 -(all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> k1_funct_1(k1_latsubgr(A),k9_group_2(A,B,C)) = k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C)))))))) # label(t24_latsubgr) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.76/1.15 68 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v1_funct_1(k1_latsubgr(A)) # label(dt_k1_latsubgr) # label(axiom). [clausify(13)].
% 0.76/1.15 69 v4_group_1(c6) # label(t24_latsubgr) # label(negated_conjecture). [clausify(61)].
% 0.76/1.15 71 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v1_funct_2(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) # label(dt_k1_latsubgr) # label(axiom). [clausify(13)].
% 0.76/1.15 72 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m2_relset_1(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) # label(dt_k1_latsubgr) # label(axiom). [clausify(13)].
% 0.76/1.15 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) | v1_group_1(k9_group_2(A,B,C)) # label(dt_k9_group_2) # label(axiom). [clausify(19)].
% 0.76/1.15 76 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(k9_group_2(A,B,C),A) # label(dt_k9_group_2) # label(axiom). [clausify(19)].
% 0.76/1.15 81 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) | k3_xboole_0(k1_funct_1(k1_latsubgr(A),B),k1_funct_1(k1_latsubgr(A),C)) = u1_struct_0(k9_group_2(A,B,C)) # label(t23_latsubgr) # label(axiom). [clausify(52)].
% 0.76/1.15 83 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_1(B) | -v1_funct_2(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(B,k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) != B | -v1_group_1(C) | -m1_group_2(C,A) | k1_funct_1(B,C) = u1_struct_0(C) # label(d1_latsubgr) # label(axiom). [clausify(9)].
% 0.76/1.15 98 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | v1_funct_1(k1_latsubgr(c6)). [resolve(68,c,69,a)].
% 0.76/1.15 102 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_1(A) | -v1_funct_2(A,k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(A,k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) != A | -v1_group_1(B) | -m1_group_2(B,c6) | k1_funct_1(A,B) = u1_struct_0(B). [resolve(83,c,69,a)].
% 0.76/1.15 106 v3_group_1(c6) # label(t24_latsubgr) # label(negated_conjecture). [clausify(61)].
% 0.76/1.15 107 l1_group_1(c6) # label(t24_latsubgr) # label(negated_conjecture). [clausify(61)].
% 0.76/1.15 108 v1_group_1(c7) # label(t24_latsubgr) # label(negated_conjecture). [clausify(61)].
% 0.76/1.15 109 v1_group_1(c8) # label(t24_latsubgr) # label(negated_conjecture). [clausify(61)].
% 0.76/1.15 111 m1_group_2(c7,c6) # label(t24_latsubgr) # label(negated_conjecture). [clausify(61)].
% 0.76/1.15 112 m1_group_2(c8,c6) # label(t24_latsubgr) # label(negated_conjecture). [clausify(61)].
% 0.76/1.15 122 k3_xboole_0(A,B) = k3_xboole_0(B,A) # label(commutativity_k3_xboole_0) # label(axiom). [clausify(7)].
% 0.76/1.15 126 -v3_struct_0(c6) # label(t24_latsubgr) # label(negated_conjecture). [clausify(61)].
% 0.76/1.15 131 k1_funct_1(k1_latsubgr(c6),k9_group_2(c6,c7,c8)) != k3_xboole_0(k1_funct_1(k1_latsubgr(c6),c7),k1_funct_1(k1_latsubgr(c6),c8)) # label(t24_latsubgr) # label(negated_conjecture). [clausify(61)].
% 0.76/1.15 132 k3_xboole_0(k1_funct_1(k1_latsubgr(c6),c7),k1_funct_1(k1_latsubgr(c6),c8)) != k1_funct_1(k1_latsubgr(c6),k9_group_2(c6,c7,c8)). [copy(131),flip(a)].
% 0.76/1.15 164 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | v1_funct_2(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))). [resolve(71,c,69,a)].
% 0.76/1.15 165 v1_funct_2(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))). [copy(164),unit_del(a,126),unit_del(b,106),unit_del(c,107)].
% 0.76/1.15 166 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | m2_relset_1(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))). [resolve(72,c,69,a)].
% 0.76/1.15 167 m2_relset_1(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))). [copy(166),unit_del(a,126),unit_del(b,106),unit_del(c,107)].
% 0.76/1.15 170 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(k9_group_2(c6,A,B)). [resolve(74,c,69,a)].
% 0.76/1.15 171 -m1_group_2(A,c6) | -m1_group_2(B,c6) | v1_group_1(k9_group_2(c6,A,B)). [copy(170),unit_del(a,126),unit_del(b,106),unit_del(c,107)].
% 0.76/1.15 174 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(k9_group_2(c6,A,B),c6). [resolve(76,c,69,a)].
% 0.76/1.15 175 -m1_group_2(A,c6) | -m1_group_2(B,c6) | m1_group_2(k9_group_2(c6,A,B),c6). [copy(174),unit_del(a,126),unit_del(b,106),unit_del(c,107)].
% 0.76/1.15 180 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) | k3_xboole_0(k1_funct_1(k1_latsubgr(c6),A),k1_funct_1(k1_latsubgr(c6),B)) = u1_struct_0(k9_group_2(c6,A,B)). [resolve(81,c,69,a)].
% 0.76/1.15 181 -v1_group_1(A) | -m1_group_2(A,c6) | -v1_group_1(B) | -m1_group_2(B,c6) | k3_xboole_0(k1_funct_1(k1_latsubgr(c6),A),k1_funct_1(k1_latsubgr(c6),B)) = u1_struct_0(k9_group_2(c6,A,B)). [copy(180),unit_del(a,126),unit_del(b,106),unit_del(c,107)].
% 0.76/1.15 248 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | -m2_relset_1(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))) | k1_latsubgr(c6) != k1_latsubgr(c6) | -v1_group_1(A) | -m1_group_2(A,c6) | k1_funct_1(k1_latsubgr(c6),A) = u1_struct_0(A) | v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6). [resolve(102,d,98,d)].
% 0.76/1.15 249 -v1_group_1(A) | -m1_group_2(A,c6) | k1_funct_1(k1_latsubgr(c6),A) = u1_struct_0(A). [copy(248),xx(f),merge(i),merge(j),merge(k),unit_del(a,126),unit_del(b,106),unit_del(c,107),unit_del(d,165),unit_del(e,167)].
% 0.76/1.15 298 -m1_group_2(A,c6) | v1_group_1(k9_group_2(c6,c7,A)). [resolve(171,a,111,a)].
% 0.76/1.15 306 -m1_group_2(A,c6) | m1_group_2(k9_group_2(c6,c7,A),c6). [resolve(175,a,111,a)].
% 0.76/1.15 317 -v1_group_1(A) | -m1_group_2(A,c6) | k3_xboole_0(k1_funct_1(k1_latsubgr(c6),A),k1_funct_1(k1_latsubgr(c6),c8)) = u1_struct_0(k9_group_2(c6,A,c8)). [resolve(181,d,112,a),unit_del(c,109)].
% 0.76/1.15 334 k1_funct_1(k1_latsubgr(c6),c8) = u1_struct_0(c8). [resolve(249,b,112,a),unit_del(a,109)].
% 0.76/1.15 335 k1_funct_1(k1_latsubgr(c6),c7) = u1_struct_0(c7). [resolve(249,b,111,a),unit_del(a,108)].
% 0.76/1.15 336 -v1_group_1(A) | -m1_group_2(A,c6) | k3_xboole_0(u1_struct_0(c8),k1_funct_1(k1_latsubgr(c6),A)) = u1_struct_0(k9_group_2(c6,A,c8)). [back_rewrite(317),rewrite([334(10),122(9)])].
% 0.76/1.15 338 k1_funct_1(k1_latsubgr(c6),k9_group_2(c6,c7,c8)) != k3_xboole_0(u1_struct_0(c7),u1_struct_0(c8)). [back_rewrite(132),rewrite([335(4),334(6)]),flip(a)].
% 0.76/1.15 551 v1_group_1(k9_group_2(c6,c7,c8)). [resolve(298,a,112,a)].
% 0.76/1.15 869 m1_group_2(k9_group_2(c6,c7,c8),c6). [resolve(306,a,112,a)].
% 0.76/1.15 889 k1_funct_1(k1_latsubgr(c6),k9_group_2(c6,c7,c8)) = u1_struct_0(k9_group_2(c6,c7,c8)). [resolve(869,a,249,b),unit_del(a,551)].
% 0.76/1.15 907 u1_struct_0(k9_group_2(c6,c7,c8)) != k3_xboole_0(u1_struct_0(c7),u1_struct_0(c8)). [back_rewrite(338),rewrite([889(7)])].
% 0.76/1.15 1296 $F. [resolve(336,b,111,a),rewrite([335(8),122(7)]),flip(b),unit_del(a,108),unit_del(b,907)].
% 0.76/1.15
% 0.76/1.15 % SZS output end Refutation
% 0.76/1.15 ============================== end of proof ==========================
% 0.76/1.15
% 0.76/1.15 ============================== STATISTICS ============================
% 0.76/1.15
% 0.76/1.15 Given=364. Generated=1868. Kept=1153. proofs=1.
% 0.76/1.15 Usable=314. Sos=294. Demods=91. Limbo=7, Disabled=692. Hints=0.
% 0.76/1.15 Megabytes=1.31.
% 0.76/1.15 User_CPU=0.14, System_CPU=0.00, Wall_clock=0.
% 0.76/1.15
% 0.76/1.15 ============================== end of statistics =====================
% 0.76/1.15
% 0.76/1.15 ============================== end of search =========================
% 0.76/1.15
% 0.76/1.15 THEOREM PROVED
% 0.76/1.15 % SZS status Theorem
% 0.76/1.15
% 0.76/1.15 Exiting with 1 proof.
% 0.76/1.15
% 0.76/1.15 Process 11977 exit (max_proofs) Mon Jun 13 21:57:09 2022
% 0.76/1.15 Prover9 interrupted
%------------------------------------------------------------------------------