TSTP Solution File: GRP647+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP647+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n028.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 11:20:12 EDT 2022
% Result : Theorem 5.58s 5.84s
% Output : Refutation 5.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP647+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 07:10:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.42/1.03 ============================== Prover9 ===============================
% 0.42/1.03 Prover9 (32) version 2009-11A, November 2009.
% 0.42/1.03 Process 3592 was started by sandbox on n028.cluster.edu,
% 0.42/1.03 Mon Jun 13 07:10:08 2022
% 0.42/1.03 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_3439_n028.cluster.edu".
% 0.42/1.03 ============================== end of head ===========================
% 0.42/1.03
% 0.42/1.03 ============================== INPUT =================================
% 0.42/1.03
% 0.42/1.03 % Reading from file /tmp/Prover9_3439_n028.cluster.edu
% 0.42/1.03
% 0.42/1.03 set(prolog_style_variables).
% 0.42/1.03 set(auto2).
% 0.42/1.03 % set(auto2) -> set(auto).
% 0.42/1.03 % set(auto) -> set(auto_inference).
% 0.42/1.03 % set(auto) -> set(auto_setup).
% 0.42/1.03 % set(auto_setup) -> set(predicate_elim).
% 0.42/1.03 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/1.03 % set(auto) -> set(auto_limits).
% 0.42/1.03 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/1.03 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/1.03 % set(auto) -> set(auto_denials).
% 0.42/1.03 % set(auto) -> set(auto_process).
% 0.42/1.03 % set(auto2) -> assign(new_constants, 1).
% 0.42/1.03 % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/1.03 % set(auto2) -> assign(max_weight, "200.000").
% 0.42/1.03 % set(auto2) -> assign(max_hours, 1).
% 0.42/1.03 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/1.03 % set(auto2) -> assign(max_seconds, 0).
% 0.42/1.03 % set(auto2) -> assign(max_minutes, 5).
% 0.42/1.03 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/1.03 % set(auto2) -> set(sort_initial_sos).
% 0.42/1.03 % set(auto2) -> assign(sos_limit, -1).
% 0.42/1.03 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/1.03 % set(auto2) -> assign(max_megs, 400).
% 0.42/1.03 % set(auto2) -> assign(stats, some).
% 0.42/1.03 % set(auto2) -> clear(echo_input).
% 0.42/1.03 % set(auto2) -> set(quiet).
% 0.42/1.03 % set(auto2) -> clear(print_initial_clauses).
% 0.42/1.03 % set(auto2) -> clear(print_given).
% 0.42/1.03 assign(lrs_ticks,-1).
% 0.42/1.03 assign(sos_limit,10000).
% 0.42/1.03 assign(order,kbo).
% 0.42/1.03 set(lex_order_vars).
% 0.42/1.03 clear(print_given).
% 0.42/1.03
% 0.42/1.03 % formulas(sos). % not echoed (76 formulas)
% 0.42/1.03
% 0.42/1.03 ============================== end of input ==========================
% 0.42/1.03
% 0.42/1.03 % From the command line: assign(max_seconds, 300).
% 0.42/1.03
% 0.42/1.03 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/1.03
% 0.42/1.03 % Formulas that are not ordinary clauses:
% 0.42/1.03 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].
% 0.42/1.03 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 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].
% 0.42/1.03 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].
% 0.42/1.03 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].
% 0.42/1.03 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].
% 0.42/1.03 7 (all A all B all C (m2_relset_1(C,A,B) -> ((B = k1_xboole_0 -> A = k1_xboole_0) -> (v1_funct_2(C,A,B) <-> A = k4_relset_1(A,B,C))) & (B = k1_xboole_0 -> A = k1_xboole_0 | (v1_funct_2(C,A,B) <-> C = k1_xboole_0)))) # label(d1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 8 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (B = k1_group_3(A) <-> (all C (r2_hidden(C,B) <-> v1_group_1(C) & m1_group_2(C,A))))))) # label(d1_group_3) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 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].
% 0.42/1.03 10 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_group_3(A))) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (C = k2_latsubgr(A,B) <-> u1_struct_0(C) = k6_setfam_1(u1_struct_0(A),k2_funct_2(k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)),k1_latsubgr(A),B))))))))) # label(d2_latsubgr) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 11 (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].
% 0.42/1.03 12 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> m1_subset_1(k18_group_2(A,B),k5_finsub_1(A)))) # label(dt_k18_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 13 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 14 $T # label(dt_k1_group_3) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 15 (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].
% 0.42/1.03 16 $T # label(dt_k1_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 17 $T # label(dt_k1_setfam_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 18 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 19 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 20 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 21 (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].
% 0.42/1.03 22 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_group_3(A))) -> v1_group_1(k2_latsubgr(A,B)) & m1_group_2(k2_latsubgr(A,B),A))) # label(dt_k2_latsubgr) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 23 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 24 (all A all B all C (m1_relset_1(C,A,B) -> m1_subset_1(k4_relset_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k4_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 25 (all A v4_finsub_1(k5_finsub_1(A))) # label(dt_k5_finsub_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 26 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> m1_subset_1(k6_setfam_1(A,B),k1_zfmisc_1(A)))) # label(dt_k6_setfam_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 27 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) & m1_subset_1(D,A) -> m1_subset_1(k8_funct_2(A,B,C,D),B))) # label(dt_k8_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 28 $T # label(dt_k9_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 29 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 30 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 31 (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].
% 0.42/1.03 32 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 33 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 34 (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].
% 0.42/1.03 35 (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].
% 0.42/1.03 36 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 37 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 38 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 39 (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].
% 0.42/1.03 40 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 41 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 42 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 43 (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].
% 0.42/1.03 44 (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].
% 0.42/1.03 45 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 46 (all A -v1_xboole_0(k1_tarski(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 47 (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].
% 0.42/1.03 48 (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].
% 0.42/1.03 49 (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].
% 0.42/1.03 50 (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].
% 0.42/1.03 51 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 52 (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].
% 0.42/1.03 53 (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].
% 0.42/1.03 54 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 55 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 56 (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].
% 0.42/1.03 57 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> k18_group_2(A,B) = k1_tarski(B))) # label(redefinition_k18_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 58 (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].
% 0.42/1.03 59 (all A all B all C (m1_relset_1(C,A,B) -> k4_relset_1(A,B,C) = k1_relat_1(C))) # label(redefinition_k4_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 60 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> k6_setfam_1(A,B) = k1_setfam_1(B))) # label(redefinition_k6_setfam_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.03 61 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) & m1_subset_1(D,A) -> k8_funct_2(A,B,C,D) = k1_funct_1(C,D))) # label(redefinition_k8_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 62 (all A all B all C (m2_relset_1(C,A,B) <-> m1_relset_1(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 63 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 64 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(A,k1_relat_1(B)) -> k9_relat_1(B,k1_tarski(A)) = k1_tarski(k1_funct_1(B,A))))) # label(t117_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 65 (all A k1_setfam_1(k1_tarski(A)) = A) # label(t11_setfam_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 66 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 67 (all A all B (m1_subset_1(A,B) -> v1_xboole_0(B) | r2_hidden(A,B))) # label(t2_subset) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 68 (all A all B (m1_subset_1(A,k1_zfmisc_1(B)) <-> r1_tarski(A,B))) # label(t3_subset) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 69 (all A all B all C (r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) -> m1_subset_1(A,C))) # label(t4_subset) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 70 (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].
% 0.42/1.04 71 (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) -> (u1_struct_0(B) = u1_struct_0(C) -> g1_group_1(u1_struct_0(B),u1_group_1(B)) = g1_group_1(u1_struct_0(C),u1_group_1(C))))))))) # label(t68_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 72 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 73 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 74 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.04 75 -(all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,k1_group_3(A)) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_group_3(A))) -> (C = k18_group_2(k1_group_3(A),B) -> k2_latsubgr(A,C) = B))))))) # label(t26_latsubgr) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.42/1.04
% 0.42/1.04 ============================== end of process non-clausal formulas ===
% 0.42/1.04
% 0.42/1.04 ============================== PROCESS INITIAL CLAUSES ===============
% 0.42/1.04
% 0.42/1.04 ============================== PREDICATE ELIMINATION =================
% 0.42/1.04 76 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(15)].
% 0.42/1.04 77 -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)].
% 0.42/1.04 78 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)].
% 0.42/1.04 79 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)].
% 0.42/1.04 80 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)].
% 0.42/1.04 81 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)].
% 0.42/1.04 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 | v1_group_1(f2(A,B)) # label(d1_latsubgr) # label(axiom). [clausify(9)].
% 0.42/1.04 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 | m1_group_2(f2(A,B),A) # label(d1_latsubgr) # label(axiom). [clausify(9)].
% 0.42/1.04 84 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,f2(A,B)) != u1_struct_0(f2(A,B)) # label(d1_latsubgr) # label(axiom). [clausify(9)].
% 0.42/1.04 85 -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(11)].
% 0.42/1.04 86 -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(11)].
% 0.42/1.04 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_relset_1(k1_latsubgr(A),B,C) | -v1_partfun1(k1_latsubgr(A),B,C) | v1_funct_2(k1_latsubgr(A),B,C). [resolve(76,e,77,b)].
% 0.42/1.04 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v1_xboole_0(B) | -m1_relset_1(k1_latsubgr(A),C,B) | -v1_funct_2(k1_latsubgr(A),C,B) | v1_partfun1(k1_latsubgr(A),C,B). [resolve(76,e,78,c)].
% 0.42/1.04 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v1_xboole_0(B) | v1_xboole_0(C) | -m1_relset_1(k1_latsubgr(A),B,C) | -v1_funct_2(k1_latsubgr(A),B,C) | -v1_xboole_0(k1_latsubgr(A)). [resolve(76,e,79,d)].
% 0.42/1.04 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | -v1_funct_2(k1_latsubgr(A),k1_group_3(B),k1_zfmisc_1(u1_struct_0(B))) | -m2_relset_1(k1_latsubgr(A),k1_group_3(B),k1_zfmisc_1(u1_struct_0(B))) | k1_latsubgr(B) != k1_latsubgr(A) | -v1_group_1(C) | -m1_group_2(C,B) | k1_funct_1(k1_latsubgr(A),C) = u1_struct_0(C). [resolve(76,e,81,e)].
% 0.42/1.04 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | -v1_funct_2(k1_latsubgr(A),k1_group_3(B),k1_zfmisc_1(u1_struct_0(B))) | -m2_relset_1(k1_latsubgr(A),k1_group_3(B),k1_zfmisc_1(u1_struct_0(B))) | k1_latsubgr(B) = k1_latsubgr(A) | v1_group_1(f2(B,k1_latsubgr(A))). [resolve(76,e,82,e)].
% 0.42/1.04 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | -v1_funct_2(k1_latsubgr(A),k1_group_3(B),k1_zfmisc_1(u1_struct_0(B))) | -m2_relset_1(k1_latsubgr(A),k1_group_3(B),k1_zfmisc_1(u1_struct_0(B))) | k1_latsubgr(B) = k1_latsubgr(A) | m1_group_2(f2(B,k1_latsubgr(A)),B). [resolve(76,e,83,e)].
% 0.42/1.04 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | -v1_funct_2(k1_latsubgr(A),k1_group_3(B),k1_zfmisc_1(u1_struct_0(B))) | -m2_relset_1(k1_latsubgr(A),k1_group_3(B),k1_zfmisc_1(u1_struct_0(B))) | k1_latsubgr(B) = k1_latsubgr(A) | k1_funct_1(k1_latsubgr(A),f2(B,k1_latsubgr(A))) != u1_struct_0(f2(B,k1_latsubgr(A))). [resolve(76,e,84,e)].
% 0.42/1.04 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_2(k1_latsubgr(A),k2_zfmisc_1(B,B),B) | -m1_relset_1(k1_latsubgr(A),k2_zfmisc_1(B,B),B) | v1_group_1(g1_group_1(B,k1_latsubgr(A))). [resolve(76,e,85,a)].
% 0.42/1.04 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_2(k1_latsubgr(A),k2_zfmisc_1(B,B),B) | -m1_relset_1(k1_latsubgr(A),k2_zfmisc_1(B,B),B) | l1_group_1(g1_group_1(B,k1_latsubgr(A))). [resolve(76,e,86,a)].
% 0.42/1.04 87 -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(21)].
% 0.42/1.04 Derived: -v1_funct_2(k1_latsubgr(A),B,C) | -m1_relset_1(k1_latsubgr(A),B,C) | m1_subset_1(k2_funct_2(B,C,k1_latsubgr(A),D),k1_zfmisc_1(C)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(87,a,76,e)].
% 0.42/1.04 88 v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,A,C) | -m1_relset_1(B,A,C) | -m1_subset_1(D,A) | m1_subset_1(k8_funct_2(A,C,B,D),C) # label(dt_k8_funct_2) # label(axiom). [clausify(27)].
% 0.42/1.04 Derived: v1_xboole_0(A) | -v1_funct_2(k1_latsubgr(B),A,C) | -m1_relset_1(k1_latsubgr(B),A,C) | -m1_subset_1(D,A) | m1_subset_1(k8_funct_2(A,C,k1_latsubgr(B),D),C) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B). [resolve(88,b,76,e)].
% 0.42/1.04 89 -l1_group_1(A) | v1_funct_1(u1_group_1(A)) # label(dt_u1_group_1) # label(axiom). [clausify(35)].
% 0.42/1.04 Derived: -l1_group_1(A) | -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). [resolve(89,b,77,b)].
% 0.42/1.04 Derived: -l1_group_1(A) | v1_xboole_0(B) | -m1_relset_1(u1_group_1(A),C,B) | -v1_funct_2(u1_group_1(A),C,B) | v1_partfun1(u1_group_1(A),C,B). [resolve(89,b,78,c)].
% 0.42/1.04 Derived: -l1_group_1(A) | v1_xboole_0(B) | v1_xboole_0(C) | -m1_relset_1(u1_group_1(A),B,C) | -v1_funct_2(u1_group_1(A),B,C) | -v1_xboole_0(u1_group_1(A)). [resolve(89,b,79,d)].
% 0.42/1.04 Derived: -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | -v1_funct_2(u1_group_1(A),k1_group_3(B),k1_zfmisc_1(u1_struct_0(B))) | -m2_relset_1(u1_group_1(A),k1_group_3(B),k1_zfmisc_1(u1_struct_0(B))) | k1_latsubgr(B) != u1_group_1(A) | -v1_group_1(C) | -m1_group_2(C,B) | k1_funct_1(u1_group_1(A),C) = u1_struct_0(C). [resolve(89,b,81,e)].
% 0.42/1.04 Derived: -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | -v1_funct_2(u1_group_1(A),k1_group_3(B),k1_zfmisc_1(u1_struct_0(B))) | -m2_relset_1(u1_group_1(A),k1_group_3(B),k1_zfmisc_1(u1_struct_0(B))) | k1_latsubgr(B) = u1_group_1(A) | v1_group_1(f2(B,u1_group_1(A))). [resolve(89,b,82,e)].
% 0.42/1.04 Derived: -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | -v1_funct_2(u1_group_1(A),k1_group_3(B),k1_zfmisc_1(u1_struct_0(B))) | -m2_relset_1(u1_group_1(A),k1_group_3(B),k1_zfmisc_1(u1_struct_0(B))) | k1_latsubgr(B) = u1_group_1(A) | m1_group_2(f2(B,u1_group_1(A)),B). [resolve(89,b,83,e)].
% 0.42/1.04 Derived: -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | -v1_funct_2(u1_group_1(A),k1_group_3(B),k1_zfmisc_1(u1_struct_0(B))) | -m2_relset_1(u1_group_1(A),k1_group_3(B),k1_zfmisc_1(u1_struct_0(B))) | k1_latsubgr(B) = u1_group_1(A) | k1_funct_1(u1_group_1(A),f2(B,u1_group_1(A))) != u1_struct_0(f2(B,u1_group_1(A))). [resolve(89,b,84,e)].
% 0.42/1.04 Derived: -l1_group_1(A) | -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))). [resolve(89,b,85,a)].
% 0.42/1.04 Derived: -l1_group_1(A) | -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))). [resolve(89,b,86,a)].
% 0.42/1.04 Derived: -l1_group_1(A) | -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)). [resolve(89,b,87,a)].
% 0.42/1.04 Derived: -l1_group_1(A) | v1_xboole_0(B) | -v1_funct_2(u1_group_1(A),B,C) | -m1_relset_1(u1_group_1(A),B,C) | -m1_subset_1(D,B) | m1_subset_1(k8_funct_2(B,C,u1_group_1(A),D),C). [resolve(89,b,88,b)].
% 0.42/1.04 90 -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(48)].
% 0.42/1.04 Derived: -v1_funct_2(k1_latsubgr(A),k2_zfmisc_1(B,B),B) | -m1_relset_1(k1_latsubgr(A),k2_zfmisc_1(B,B),B) | g1_group_1(C,D) != g1_group_1(B,k1_latsubgr(A)) | C = B | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(90,a,76,e)].
% 0.42/1.04 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(90,a,89,b)].
% 0.42/1.04 91 -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(48)].
% 0.42/1.04 Derived: -v1_funct_2(k1_latsubgr(A),k2_zfmisc_1(B,B),B) | -m1_relset_1(k1_latsubgr(A),k2_zfmisc_1(B,B),B) | g1_group_1(C,D) != g1_group_1(B,k1_latsubgr(A)) | D = k1_latsubgr(A) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(91,a,76,e)].
% 0.42/1.04 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(91,a,89,b)].
% 0.42/1.04 92 v1_funct_1(f7(A,B)) # label(rc1_funct_2) # label(axiom). [clausify(49)].
% 0.42/1.04 Derived: -m1_relset_1(f7(A,B),C,D) | -v1_partfun1(f7(A,B),C,D) | v1_funct_2(f7(A,B),C,D). [resolve(92,a,77,b)].
% 0.42/1.04 Derived: v1_xboole_0(A) | -m1_relset_1(f7(B,C),D,A) | -v1_funct_2(f7(B,C),D,A) | v1_partfun1(f7(B,C),D,A). [resolve(92,a,78,c)].
% 0.42/1.04 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(f7(C,D),A,B) | -v1_funct_2(f7(C,D),A,B) | -v1_xboole_0(f7(C,D)). [resolve(92,a,79,d)].
% 0.42/1.04 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_2(f7(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(f7(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) != f7(B,C) | -v1_group_1(D) | -m1_group_2(D,A) | k1_funct_1(f7(B,C),D) = u1_struct_0(D). [resolve(92,a,81,e)].
% 0.42/1.04 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_2(f7(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(f7(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) = f7(B,C) | v1_group_1(f2(A,f7(B,C))). [resolve(92,a,82,e)].
% 0.42/1.04 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_2(f7(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(f7(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) = f7(B,C) | m1_group_2(f2(A,f7(B,C)),A). [resolve(92,a,83,e)].
% 0.42/1.04 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_2(f7(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(f7(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) = f7(B,C) | k1_funct_1(f7(B,C),f2(A,f7(B,C))) != u1_struct_0(f2(A,f7(B,C))). [resolve(92,a,84,e)].
% 0.42/1.04 Derived: -v1_funct_2(f7(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f7(A,B),k2_zfmisc_1(C,C),C) | v1_group_1(g1_group_1(C,f7(A,B))). [resolve(92,a,85,a)].
% 0.42/1.04 Derived: -v1_funct_2(f7(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f7(A,B),k2_zfmisc_1(C,C),C) | l1_group_1(g1_group_1(C,f7(A,B))). [resolve(92,a,86,a)].
% 0.42/1.04 Derived: -v1_funct_2(f7(A,B),C,D) | -m1_relset_1(f7(A,B),C,D) | m1_subset_1(k2_funct_2(C,D,f7(A,B),E),k1_zfmisc_1(D)). [resolve(92,a,87,a)].
% 0.42/1.04 Derived: v1_xboole_0(A) | -v1_funct_2(f7(B,C),A,D) | -m1_relset_1(f7(B,C),A,D) | -m1_subset_1(E,A) | m1_subset_1(k8_funct_2(A,D,f7(B,C),E),D). [resolve(92,a,88,b)].
% 0.42/1.04 Derived: -v1_funct_2(f7(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f7(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f7(A,B)) | D = C. [resolve(92,a,90,a)].
% 0.42/1.04 Derived: -v1_funct_2(f7(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f7(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f7(A,B)) | E = f7(A,B). [resolve(92,a,91,a)].
% 0.42/1.04 93 v1_funct_1(f9(A,B)) # label(rc2_partfun1) # label(axiom). [clausify(52)].
% 0.42/1.04 Derived: -m1_relset_1(f9(A,B),C,D) | -v1_partfun1(f9(A,B),C,D) | v1_funct_2(f9(A,B),C,D). [resolve(93,a,77,b)].
% 0.42/1.04 Derived: v1_xboole_0(A) | -m1_relset_1(f9(B,C),D,A) | -v1_funct_2(f9(B,C),D,A) | v1_partfun1(f9(B,C),D,A). [resolve(93,a,78,c)].
% 0.42/1.04 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(f9(C,D),A,B) | -v1_funct_2(f9(C,D),A,B) | -v1_xboole_0(f9(C,D)). [resolve(93,a,79,d)].
% 0.42/1.04 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_2(f9(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(f9(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) != f9(B,C) | -v1_group_1(D) | -m1_group_2(D,A) | k1_funct_1(f9(B,C),D) = u1_struct_0(D). [resolve(93,a,81,e)].
% 0.42/1.04 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_2(f9(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(f9(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) = f9(B,C) | v1_group_1(f2(A,f9(B,C))). [resolve(93,a,82,e)].
% 0.42/1.04 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_2(f9(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(f9(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) = f9(B,C) | m1_group_2(f2(A,f9(B,C)),A). [resolve(93,a,83,e)].
% 0.42/1.04 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_2(f9(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(f9(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) = f9(B,C) | k1_funct_1(f9(B,C),f2(A,f9(B,C))) != u1_struct_0(f2(A,f9(B,C))). [resolve(93,a,84,e)].
% 0.42/1.04 Derived: -v1_funct_2(f9(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f9(A,B),k2_zfmisc_1(C,C),C) | v1_group_1(g1_group_1(C,f9(A,B))). [resolve(93,a,85,a)].
% 0.42/1.04 Derived: -v1_funct_2(f9(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f9(A,B),k2_zfmisc_1(C,C),C) | l1_group_1(g1_group_1(C,f9(A,B))). [resolve(93,a,86,a)].
% 0.42/1.04 Derived: -v1_funct_2(f9(A,B),C,D) | -m1_relset_1(f9(A,B),C,D) | m1_subset_1(k2_funct_2(C,D,f9(A,B),E),k1_zfmisc_1(D)). [resolve(93,a,87,a)].
% 0.42/1.04 Derived: v1_xboole_0(A) | -v1_funct_2(f9(B,C),A,D) | -m1_relset_1(f9(B,C),A,D) | -m1_subset_1(E,A) | m1_subset_1(k8_funct_2(A,D,f9(B,C),E),D). [resolve(93,a,88,b)].
% 0.42/1.04 Derived: -v1_funct_2(f9(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f9(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f9(A,B)) | D = C. [resolve(93,a,90,a)].
% 0.42/1.04 Derived: -v1_funct_2(f9(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f9(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f9(A,B)) | E = f9(A,B). [resolve(93,a,91,a)].
% 0.42/1.04 94 -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(58)].
% 0.42/1.04 Derived: -v1_funct_2(k1_latsubgr(A),B,C) | -m1_relset_1(k1_latsubgr(A),B,C) | k9_relat_1(k1_latsubgr(A),D) = k2_funct_2(B,C,k1_latsubgr(A),D) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(94,a,76,e)].
% 0.42/1.04 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(94,a,89,b)].
% 0.42/1.04 Derived: -v1_funct_2(f7(A,B),C,D) | -m1_relset_1(f7(A,B),C,D) | k9_relat_1(f7(A,B),E) = k2_funct_2(C,D,f7(A,B),E). [resolve(94,a,92,a)].
% 0.42/1.04 Derived: -v1_funct_2(f9(A,B),C,D) | -m1_relset_1(f9(A,B),C,D) | k9_relat_1(f9(A,B),E) = k2_funct_2(C,D,f9(A,B),E). [resolve(94,a,93,a)].
% 0.42/1.04 95 v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,A,C) | -m1_relset_1(B,A,C) | -m1_subset_1(D,A) | k8_funct_2(A,C,B,D) = k1_funct_1(B,D) # label(redefinition_k8_funct_2) # label(axiom). [clausify(61)].
% 0.42/1.04 Derived: v1_xboole_0(A) | -v1_funct_2(k1_latsubgr(B),A,C) | -m1_relset_1(k1_latsubgr(B),A,C) | -m1_subset_1(D,A) | k8_funct_2(A,C,k1_latsubgr(B),D) = k1_funct_1(k1_latsubgr(B),D) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B). [resolve(95,b,76,e)].
% 0.42/1.04 Derived: v1_xboole_0(A) | -v1_funct_2(u1_group_1(B),A,C) | -m1_relset_1(u1_group_1(B),A,C) | -m1_subset_1(D,A) | k8_funct_2(A,C,u1_group_1(B),D) = k1_funct_1(u1_group_1(B),D) | -l1_group_1(B). [resolve(95,b,89,b)].
% 0.42/1.04 Derived: v1_xboole_0(A) | -v1_funct_2(f7(B,C),A,D) | -m1_relset_1(f7(B,C),A,D) | -m1_subset_1(E,A) | k8_funct_2(A,D,f7(B,C),E) = k1_funct_1(f7(B,C),E). [resolve(95,b,92,a)].
% 0.42/1.04 Derived: v1_xboole_0(A) | -v1_funct_2(f9(B,C),A,D) | -m1_relset_1(f9(B,C),A,D) | -m1_subset_1(E,A) | k8_funct_2(A,D,f9(B,C),E) = k1_funct_1(f9(B,C),E). [resolve(95,b,93,a)].
% 0.42/1.04 96 -v1_relat_1(A) | -v1_funct_1(A) | -r2_hidden(B,k1_relat_1(A)) | k9_relat_1(A,k1_tarski(B)) = k1_tarski(k1_funct_1(A,B)) # label(t117_funct_1) # label(axiom). [clausify(64)].
% 0.42/1.04 Derived: -v1_relat_1(k1_latsubgr(A)) | -r2_hidden(B,k1_relat_1(k1_latsubgr(A))) | k9_relat_1(k1_latsubgr(A),k1_tarski(B)) = k1_tarski(k1_funct_1(k1_latsubgr(A),B)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(96,b,76,e)].
% 0.42/1.04 Derived: -v1_relat_1(u1_group_1(A)) | -r2_hidden(B,k1_relat_1(u1_group_1(A))) | k9_relat_1(u1_group_1(A),k1_tarski(B)) = k1_tarski(k1_funct_1(u1_group_1(A),B)) | -l1_group_1(A). [resolve(96,b,89,b)].
% 1.90/2.20 Derived: -v1_relat_1(f7(A,B)) | -r2_hidden(C,k1_relat_1(f7(A,B))) | k9_relat_1(f7(A,B),k1_tarski(C)) = k1_tarski(k1_funct_1(f7(A,B),C)). [resolve(96,b,92,a)].
% 1.90/2.20 Derived: -v1_relat_1(f9(A,B)) | -r2_hidden(C,k1_relat_1(f9(A,B))) | k9_relat_1(f9(A,B),k1_tarski(C)) = k1_tarski(k1_funct_1(f9(A,B),C)). [resolve(96,b,93,a)].
% 1.90/2.20 97 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(44)].
% 1.90/2.20 98 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(29)].
% 1.90/2.20 99 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(38)].
% 1.90/2.20 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_group_1(A). [resolve(97,b,98,b)].
% 1.90/2.20 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(97,b,99,a)].
% 1.90/2.20 100 l1_struct_0(c5) # label(rc3_struct_0) # label(axiom). [clausify(55)].
% 1.90/2.20 Derived: v3_struct_0(c5) | -v1_xboole_0(u1_struct_0(c5)). [resolve(100,a,97,b)].
% 1.90/2.20 101 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(56)].
% 1.90/2.20 Derived: v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_group_1(A). [resolve(101,b,98,b)].
% 1.90/2.20 Derived: v3_struct_0(c2) | m1_subset_1(f11(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(101,b,99,a)].
% 1.90/2.20 Derived: v3_struct_0(c5) | m1_subset_1(f11(c5),k1_zfmisc_1(u1_struct_0(c5))). [resolve(101,b,100,a)].
% 1.90/2.20 102 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f11(A)) # label(rc5_struct_0) # label(axiom). [clausify(56)].
% 1.90/2.20 Derived: v3_struct_0(A) | -v1_xboole_0(f11(A)) | -l1_group_1(A). [resolve(102,b,98,b)].
% 1.90/2.20 Derived: v3_struct_0(c2) | -v1_xboole_0(f11(c2)). [resolve(102,b,99,a)].
% 1.90/2.20 Derived: v3_struct_0(c5) | -v1_xboole_0(f11(c5)). [resolve(102,b,100,a)].
% 1.90/2.20 103 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(68)].
% 1.90/2.20 104 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(63)].
% 1.90/2.20 105 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(68)].
% 1.90/2.20 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(103,b,104,a)].
% 1.90/2.20
% 1.90/2.20 ============================== end predicate elimination =============
% 1.90/2.20
% 1.90/2.20 Auto_denials: (non-Horn, no changes).
% 1.90/2.20
% 1.90/2.20 Term ordering decisions:
% 1.90/2.20 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. k9_relat_1=1. k2_latsubgr=1. k6_setfam_1=1. k18_group_2=1. f1=1. f2=1. f4=1. f6=1. f7=1. f9=1. k1_latsubgr=1. u1_struct_0=1. u1_group_1=1. k1_zfmisc_1=1. k1_group_3=1. k1_tarski=1. k1_relat_1=1. k1_setfam_1=1. k5_finsub_1=1. f3=1. f5=1. f8=1. f10=1. f11=1. k4_relset_1=1. k2_funct_2=1. k8_funct_2=1.
% 1.90/2.20
% 1.90/2.20 ============================== end of process initial clauses ========
% 1.90/2.20
% 1.90/2.20 ============================== CLAUSES FOR SEARCH ====================
% 1.90/2.20
% 1.90/2.20 ============================== end of clauses for search =============
% 1.90/2.20
% 1.90/2.20 ============================== SEARCH ================================
% 1.90/2.20
% 1.90/2.20 % Starting search at 0.06 seconds.
% 1.90/2.20
% 1.90/2.20 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 173 (0.00 of 0.20 sec).
% 1.90/2.20
% 1.90/2.20 Low Water (keep): wt=34.000, iters=3778
% 1.90/2.20
% 1.90/2.20 Low Water (keep): wt=29.000, iters=3447
% 1.90/2.20
% 1.90/2.20 Low Water (keep): wt=26.000, iters=3738
% 1.90/2.20
% 1.90/2.20 Low Water (keep): wt=25.000, iters=3793
% 1.90/2.20
% 1.90/2.20 Low Water (keep): wt=24.000, iters=3623
% 1.90/2.20
% 1.90/2.20 Low Water (keep): wt=23.000, iters=3388
% 1.90/2.20
% 1.90/2.20 Low Water (keep): wt=21.000, iters=3920
% 1.90/2.20
% 1.90/2.20 Low Water (keep): wt=19.000, iters=3772
% 1.90/2.20
% 1.90/2.20 Low Water (displace): id=7504, wt=118.000
% 1.90/2.20
% 1.90/2.20 Low Water (displace): id=7503, wt=104.000
% 1.90/2.20
% 1.90/2.20 Low Water (displace): id=7485, wt=94.000
% 1.90/2.20
% 1.90/2.20 Low Water (displace): id=7507, wt=93.000
% 1.90/2.20
% 1.90/2.20 Low Water (displace): id=7497, wt=92.000
% 1.90/2.20
% 1.90/2.20 Low Water (displace): id=7502, wt=91.000
% 1.90/2.20
% 1.90/2.20 Low Water (displace): id=7489, wt=88.000
% 1.90/2.20
% 1.90/2.20 Low Water (displace): id=7484, wt=87.000
% 1.90/2.20
% 1.90/2.20 Low Water (displace): id=7506, wt=86.000
% 1.90/2.20
% 1.90/2.20 Low Water (displace): id=7501, wt=84.000
% 1.90/2.20
% 1.90/2.20 Low Water (displace): id=7496, wt=83.000
% 1.90/2.20
% 1.90/2.20 Low Water (displace): id=7488, wt=81.000
% 1.90/2.20
% 1.90/2.20 Low Water (displace): id=7483, wt=80.000
% 1.90/2.20
% 1.90/2.20 Low Water (displace): id=5097, wt=79.000
% 1.90/2.20
% 1.90/2.20 Low Water (displace): id=7495, wt=76.000
% 5.58/5.84
% 5.58/5.84 Low Water (displace): id=7487, wt=74.000
% 5.58/5.84
% 5.58/5.84 Low Water (displace): id=3689, wt=71.000
% 5.58/5.84
% 5.58/5.84 Low Water (displace): id=7731, wt=69.000
% 5.58/5.84
% 5.58/5.84 Low Water (displace): id=7703, wt=68.000
% 5.58/5.84
% 5.58/5.84 Low Water (displace): id=13188, wt=18.000
% 5.58/5.84
% 5.58/5.84 Low Water (displace): id=13237, wt=17.000
% 5.58/5.84
% 5.58/5.84 Low Water (displace): id=13245, wt=15.000
% 5.58/5.84
% 5.58/5.84 Low Water (displace): id=13338, wt=14.000
% 5.58/5.84
% 5.58/5.84 Low Water (displace): id=13380, wt=13.000
% 5.58/5.84
% 5.58/5.84 Low Water (keep): wt=17.000, iters=4282
% 5.58/5.84
% 5.58/5.84 Low Water (displace): id=18881, wt=11.000
% 5.58/5.84
% 5.58/5.84 Low Water (keep): wt=16.000, iters=4320
% 5.58/5.84
% 5.58/5.84 Low Water (keep): wt=15.000, iters=3463
% 5.58/5.84
% 5.58/5.84 ============================== PROOF =================================
% 5.58/5.84 % SZS status Theorem
% 5.58/5.84 % SZS output start Refutation
% 5.58/5.84
% 5.58/5.84 % Proof 1 at 4.71 (+ 0.12) seconds.
% 5.58/5.84 % Length of proof is 131.
% 5.58/5.84 % Level of proof is 13.
% 5.58/5.84 % Maximum clause weight is 49.000.
% 5.58/5.84 % Given clauses 3739.
% 5.58/5.84
% 5.58/5.84 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].
% 5.58/5.84 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].
% 5.58/5.84 7 (all A all B all C (m2_relset_1(C,A,B) -> ((B = k1_xboole_0 -> A = k1_xboole_0) -> (v1_funct_2(C,A,B) <-> A = k4_relset_1(A,B,C))) & (B = k1_xboole_0 -> A = k1_xboole_0 | (v1_funct_2(C,A,B) <-> C = k1_xboole_0)))) # label(d1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 5.58/5.84 8 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (B = k1_group_3(A) <-> (all C (r2_hidden(C,B) <-> v1_group_1(C) & m1_group_2(C,A))))))) # label(d1_group_3) # label(axiom) # label(non_clause). [assumption].
% 5.58/5.84 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].
% 5.58/5.84 10 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_group_3(A))) -> (all C (v1_group_1(C) & m1_group_2(C,A) -> (C = k2_latsubgr(A,B) <-> u1_struct_0(C) = k6_setfam_1(u1_struct_0(A),k2_funct_2(k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)),k1_latsubgr(A),B))))))))) # label(d2_latsubgr) # label(axiom) # label(non_clause). [assumption].
% 5.58/5.84 15 (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].
% 5.58/5.84 21 (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].
% 5.58/5.84 22 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(k1_group_3(A))) -> v1_group_1(k2_latsubgr(A,B)) & m1_group_2(k2_latsubgr(A,B),A))) # label(dt_k2_latsubgr) # label(axiom) # label(non_clause). [assumption].
% 5.58/5.84 27 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) & m1_subset_1(D,A) -> m1_subset_1(k8_funct_2(A,B,C,D),B))) # label(dt_k8_funct_2) # label(axiom) # label(non_clause). [assumption].
% 5.58/5.84 31 (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].
% 5.58/5.84 34 (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].
% 5.58/5.84 43 (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].
% 5.58/5.84 45 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 5.58/5.84 46 (all A -v1_xboole_0(k1_tarski(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 5.58/5.84 57 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> k18_group_2(A,B) = k1_tarski(B))) # label(redefinition_k18_group_2) # label(axiom) # label(non_clause). [assumption].
% 5.58/5.84 58 (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].
% 5.58/5.84 59 (all A all B all C (m1_relset_1(C,A,B) -> k4_relset_1(A,B,C) = k1_relat_1(C))) # label(redefinition_k4_relset_1) # label(axiom) # label(non_clause). [assumption].
% 5.58/5.84 60 (all A all B (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) -> k6_setfam_1(A,B) = k1_setfam_1(B))) # label(redefinition_k6_setfam_1) # label(axiom) # label(non_clause). [assumption].
% 5.58/5.84 61 (all A all B all C all D (-v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_relset_1(C,A,B) & m1_subset_1(D,A) -> k8_funct_2(A,B,C,D) = k1_funct_1(C,D))) # label(redefinition_k8_funct_2) # label(axiom) # label(non_clause). [assumption].
% 5.58/5.84 62 (all A all B all C (m2_relset_1(C,A,B) <-> m1_relset_1(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 5.58/5.84 64 (all A all B (v1_relat_1(B) & v1_funct_1(B) -> (r2_hidden(A,k1_relat_1(B)) -> k9_relat_1(B,k1_tarski(A)) = k1_tarski(k1_funct_1(B,A))))) # label(t117_funct_1) # label(axiom) # label(non_clause). [assumption].
% 5.58/5.84 65 (all A k1_setfam_1(k1_tarski(A)) = A) # label(t11_setfam_1) # label(axiom) # label(non_clause). [assumption].
% 5.58/5.84 67 (all A all B (m1_subset_1(A,B) -> v1_xboole_0(B) | r2_hidden(A,B))) # label(t2_subset) # label(axiom) # label(non_clause). [assumption].
% 5.58/5.84 71 (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) -> (u1_struct_0(B) = u1_struct_0(C) -> g1_group_1(u1_struct_0(B),u1_group_1(B)) = g1_group_1(u1_struct_0(C),u1_group_1(C))))))))) # label(t68_group_2) # label(axiom) # label(non_clause). [assumption].
% 5.58/5.84 73 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 5.58/5.84 75 -(all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,k1_group_3(A)) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(k1_group_3(A))) -> (C = k18_group_2(k1_group_3(A),B) -> k2_latsubgr(A,C) = B))))))) # label(t26_latsubgr) # label(negated_conjecture) # label(non_clause). [assumption].
% 5.58/5.84 76 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(15)].
% 5.58/5.84 81 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)].
% 5.58/5.84 87 -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(21)].
% 5.58/5.84 88 v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,A,C) | -m1_relset_1(B,A,C) | -m1_subset_1(D,A) | m1_subset_1(k8_funct_2(A,C,B,D),C) # label(dt_k8_funct_2) # label(axiom). [clausify(27)].
% 5.58/5.84 94 -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(58)].
% 5.58/5.84 95 v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,A,C) | -m1_relset_1(B,A,C) | -m1_subset_1(D,A) | k8_funct_2(A,C,B,D) = k1_funct_1(B,D) # label(redefinition_k8_funct_2) # label(axiom). [clausify(61)].
% 5.58/5.84 96 -v1_relat_1(A) | -v1_funct_1(A) | -r2_hidden(B,k1_relat_1(A)) | k9_relat_1(A,k1_tarski(B)) = k1_tarski(k1_funct_1(A,B)) # label(t117_funct_1) # label(axiom). [clausify(64)].
% 5.58/5.84 106 -l1_group_1(A) | -v1_group_1(A) | g1_group_1(u1_struct_0(A),u1_group_1(A)) = A # label(abstractness_v1_group_1) # label(axiom). [clausify(1)].
% 5.58/5.84 108 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_relat_1(A) # label(cc1_relset_1) # label(axiom). [clausify(4)].
% 5.58/5.84 109 -m2_relset_1(A,B,C) | k1_xboole_0 = C | -v1_funct_2(A,B,C) | k4_relset_1(B,C,A) = B # label(d1_funct_2) # label(axiom). [clausify(7)].
% 5.58/5.84 115 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | k1_group_3(A) != B | -r2_hidden(C,B) | v1_group_1(C) # label(d1_group_3) # label(axiom). [clausify(8)].
% 5.58/5.84 116 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | k1_group_3(A) != B | -r2_hidden(C,B) | m1_group_2(C,A) # label(d1_group_3) # label(axiom). [clausify(8)].
% 5.58/5.84 117 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | k1_group_3(A) != B | r2_hidden(C,B) | -v1_group_1(C) | -m1_group_2(C,A) # label(d1_group_3) # label(axiom). [clausify(8)].
% 5.58/5.84 121 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(k1_group_3(A))) | -v1_group_1(C) | -m1_group_2(C,A) | k2_latsubgr(A,B) != C | k6_setfam_1(u1_struct_0(A),k2_funct_2(k1_group_3(A),k1_zfmisc_1(u1_struct_0(A)),k1_latsubgr(A),B)) = u1_struct_0(C) # label(d2_latsubgr) # label(axiom). [clausify(10)].
% 5.58/5.84 124 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(15)].
% 5.58/5.84 125 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(15)].
% 5.58/5.84 126 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(k1_group_3(A))) | v1_group_1(k2_latsubgr(A,B)) # label(dt_k2_latsubgr) # label(axiom). [clausify(22)].
% 5.58/5.84 127 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(k1_group_3(A))) | m1_group_2(k2_latsubgr(A,B),A) # label(dt_k2_latsubgr) # label(axiom). [clausify(22)].
% 5.58/5.84 132 v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | l1_group_1(B) # label(dt_m1_group_2) # label(axiom). [clausify(31)].
% 5.58/5.84 133 -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(34)].
% 5.58/5.84 141 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(43)].
% 5.58/5.84 142 -v1_xboole_0(k1_zfmisc_1(A)) # label(fc1_subset_1) # label(axiom). [clausify(45)].
% 5.58/5.84 143 v1_xboole_0(k1_xboole_0) # label(fc1_xboole_0) # label(axiom). [assumption].
% 5.58/5.84 144 -v1_xboole_0(k1_tarski(A)) # label(fc2_subset_1) # label(axiom). [clausify(46)].
% 5.58/5.84 158 v1_xboole_0(A) | -m1_subset_1(B,A) | k1_tarski(B) = k18_group_2(A,B) # label(redefinition_k18_group_2) # label(axiom). [clausify(57)].
% 5.58/5.84 159 v1_xboole_0(A) | -m1_subset_1(B,A) | k18_group_2(A,B) = k1_tarski(B). [copy(158),flip(c)].
% 5.58/5.84 160 -m1_relset_1(A,B,C) | k1_relat_1(A) = k4_relset_1(B,C,A) # label(redefinition_k4_relset_1) # label(axiom). [clausify(59)].
% 5.58/5.84 161 -m1_relset_1(A,B,C) | k4_relset_1(B,C,A) = k1_relat_1(A). [copy(160),flip(b)].
% 5.58/5.84 162 -m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(B))) | k1_setfam_1(A) = k6_setfam_1(B,A) # label(redefinition_k6_setfam_1) # label(axiom). [clausify(60)].
% 5.58/5.84 163 -m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(B))) | k6_setfam_1(B,A) = k1_setfam_1(A). [copy(162),flip(b)].
% 5.58/5.84 164 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(62)].
% 5.58/5.84 166 k1_setfam_1(k1_tarski(A)) = A # label(t11_setfam_1) # label(axiom). [clausify(65)].
% 5.58/5.84 168 -m1_subset_1(A,B) | v1_xboole_0(B) | r2_hidden(A,B) # label(t2_subset) # label(axiom). [clausify(67)].
% 5.58/5.84 171 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) | u1_struct_0(C) != u1_struct_0(B) | g1_group_1(u1_struct_0(C),u1_group_1(C)) = g1_group_1(u1_struct_0(B),u1_group_1(B)) # label(t68_group_2) # label(axiom). [clausify(71)].
% 5.58/5.84 173 -r2_hidden(A,B) | -v1_xboole_0(B) # label(t7_boole) # label(axiom). [clausify(73)].
% 5.58/5.84 175 -v3_struct_0(c6) # label(t26_latsubgr) # label(negated_conjecture). [clausify(75)].
% 5.58/5.84 176 v3_group_1(c6) # label(t26_latsubgr) # label(negated_conjecture). [clausify(75)].
% 5.58/5.84 177 v4_group_1(c6) # label(t26_latsubgr) # label(negated_conjecture). [clausify(75)].
% 5.58/5.84 178 l1_group_1(c6) # label(t26_latsubgr) # label(negated_conjecture). [clausify(75)].
% 5.58/5.84 179 m1_subset_1(c7,k1_group_3(c6)) # label(t26_latsubgr) # label(negated_conjecture). [clausify(75)].
% 5.58/5.84 181 m1_subset_1(c8,k1_zfmisc_1(k1_group_3(c6))) # label(t26_latsubgr) # label(negated_conjecture). [clausify(75)].
% 5.58/5.84 182 k18_group_2(k1_group_3(c6),c7) = c8 # label(t26_latsubgr) # label(negated_conjecture). [clausify(75)].
% 5.58/5.84 183 c8 = k18_group_2(k1_group_3(c6),c7). [copy(182),flip(a)].
% 5.58/5.84 184 k2_latsubgr(c6,c8) != c7 # label(t26_latsubgr) # label(negated_conjecture). [clausify(75)].
% 5.58/5.84 185 k2_latsubgr(c6,k18_group_2(k1_group_3(c6),c7)) != c7. [copy(184),rewrite([183(2)])].
% 5.58/5.84 189 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B) | -v1_funct_2(k1_latsubgr(A),k1_group_3(B),k1_zfmisc_1(u1_struct_0(B))) | -m2_relset_1(k1_latsubgr(A),k1_group_3(B),k1_zfmisc_1(u1_struct_0(B))) | k1_latsubgr(B) != k1_latsubgr(A) | -v1_group_1(C) | -m1_group_2(C,B) | k1_funct_1(k1_latsubgr(A),C) = u1_struct_0(C). [resolve(76,e,81,e)].
% 5.58/5.84 195 -v1_funct_2(k1_latsubgr(A),B,C) | -m1_relset_1(k1_latsubgr(A),B,C) | m1_subset_1(k2_funct_2(B,C,k1_latsubgr(A),D),k1_zfmisc_1(C)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(87,a,76,e)].
% 5.58/5.84 196 v1_xboole_0(A) | -v1_funct_2(k1_latsubgr(B),A,C) | -m1_relset_1(k1_latsubgr(B),A,C) | -m1_subset_1(D,A) | m1_subset_1(k8_funct_2(A,C,k1_latsubgr(B),D),C) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B). [resolve(88,b,76,e)].
% 5.58/5.84 254 -v1_funct_2(k1_latsubgr(A),B,C) | -m1_relset_1(k1_latsubgr(A),B,C) | k9_relat_1(k1_latsubgr(A),D) = k2_funct_2(B,C,k1_latsubgr(A),D) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(94,a,76,e)].
% 5.58/5.84 255 -v1_funct_2(k1_latsubgr(A),B,C) | -m1_relset_1(k1_latsubgr(A),B,C) | k2_funct_2(B,C,k1_latsubgr(A),D) = k9_relat_1(k1_latsubgr(A),D) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [copy(254),flip(c)].
% 5.58/5.84 262 v1_xboole_0(A) | -v1_funct_2(k1_latsubgr(B),A,C) | -m1_relset_1(k1_latsubgr(B),A,C) | -m1_subset_1(D,A) | k8_funct_2(A,C,k1_latsubgr(B),D) = k1_funct_1(k1_latsubgr(B),D) | v3_struct_0(B) | -v3_group_1(B) | -v4_group_1(B) | -l1_group_1(B). [resolve(95,b,76,e)].
% 5.58/5.84 266 -v1_relat_1(k1_latsubgr(A)) | -r2_hidden(B,k1_relat_1(k1_latsubgr(A))) | k9_relat_1(k1_latsubgr(A),k1_tarski(B)) = k1_tarski(k1_funct_1(k1_latsubgr(A),B)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(96,b,76,e)].
% 5.58/5.84 267 -v1_relat_1(k1_latsubgr(A)) | -r2_hidden(B,k1_relat_1(k1_latsubgr(A))) | k1_tarski(k1_funct_1(k1_latsubgr(A),B)) = k9_relat_1(k1_latsubgr(A),k1_tarski(B)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [copy(266),flip(c)].
% 5.58/5.84 291 m1_subset_1(k18_group_2(k1_group_3(c6),c7),k1_zfmisc_1(k1_group_3(c6))). [back_rewrite(181),rewrite([183(1)])].
% 5.58/5.84 294 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))) | -m2_relset_1(k1_latsubgr(A),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -v1_group_1(B) | -m1_group_2(B,A) | k1_funct_1(k1_latsubgr(A),B) = u1_struct_0(B). [factor(189,a,e),xx(j),merge(e),merge(f),merge(g)].
% 5.58/5.84 360 -v1_xboole_0(k1_group_3(c6)). [resolve(177,a,141,c),unit_del(a,175),unit_del(b,176),unit_del(c,178)].
% 5.58/5.84 361 m2_relset_1(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))). [resolve(177,a,125,c),unit_del(a,175),unit_del(b,176),unit_del(c,178)].
% 5.58/5.84 362 v1_funct_2(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))). [resolve(177,a,124,c),unit_del(a,175),unit_del(b,176),unit_del(c,178)].
% 5.58/5.84 367 r2_hidden(c7,k1_group_3(c6)). [resolve(179,a,168,a),unit_del(a,360)].
% 5.58/5.84 368 k18_group_2(k1_group_3(c6),c7) = k1_tarski(c7). [resolve(179,a,159,b),unit_del(a,360)].
% 5.58/5.84 370 m1_subset_1(k1_tarski(c7),k1_zfmisc_1(k1_group_3(c6))). [back_rewrite(291),rewrite([368(4)])].
% 5.58/5.84 371 k2_latsubgr(c6,k1_tarski(c7)) != c7. [back_rewrite(185),rewrite([368(5)])].
% 5.58/5.84 436 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | k1_group_3(c6) != k1_group_3(A) | m1_group_2(c7,A). [resolve(367,a,116,f),flip(e)].
% 5.58/5.84 437 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | k1_group_3(c6) != k1_group_3(A) | v1_group_1(c7). [resolve(367,a,115,f),flip(e)].
% 5.58/5.84 512 m1_group_2(k2_latsubgr(c6,k1_tarski(c7)),c6). [resolve(370,a,127,f),unit_del(a,175),unit_del(b,176),unit_del(c,177),unit_del(d,178),unit_del(e,144)].
% 5.58/5.84 513 v1_group_1(k2_latsubgr(c6,k1_tarski(c7))). [resolve(370,a,126,f),unit_del(a,175),unit_del(b,176),unit_del(c,177),unit_del(d,178),unit_del(e,144)].
% 5.58/5.84 515 -l1_group_1(k2_latsubgr(c6,k1_tarski(c7))) | g1_group_1(u1_struct_0(k2_latsubgr(c6,k1_tarski(c7))),u1_group_1(k2_latsubgr(c6,k1_tarski(c7)))) = k2_latsubgr(c6,k1_tarski(c7)). [resolve(513,a,106,b)].
% 5.58/5.84 559 -m1_group_2(A,c6) | u1_struct_0(k2_latsubgr(c6,k1_tarski(c7))) != u1_struct_0(A) | g1_group_1(u1_struct_0(k2_latsubgr(c6,k1_tarski(c7))),u1_group_1(k2_latsubgr(c6,k1_tarski(c7)))) = g1_group_1(u1_struct_0(A),u1_group_1(A)). [resolve(512,a,171,f),unit_del(a,175),unit_del(b,176),unit_del(c,177),unit_del(d,178)].
% 5.58/5.84 560 l1_group_1(k2_latsubgr(c6,k1_tarski(c7))). [resolve(512,a,132,d),unit_del(a,175),unit_del(b,176),unit_del(c,178)].
% 5.58/5.84 564 v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(k1_group_3(c6))) | k2_latsubgr(c6,k1_tarski(c7)) != k2_latsubgr(c6,A) | k6_setfam_1(u1_struct_0(c6),k2_funct_2(k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6)),k1_latsubgr(c6),A)) = u1_struct_0(k2_latsubgr(c6,k1_tarski(c7))). [resolve(512,a,121,h),flip(h),unit_del(a,175),unit_del(b,176),unit_del(c,177),unit_del(d,178),unit_del(g,513)].
% 5.58/5.84 566 g1_group_1(u1_struct_0(k2_latsubgr(c6,k1_tarski(c7))),u1_group_1(k2_latsubgr(c6,k1_tarski(c7)))) = k2_latsubgr(c6,k1_tarski(c7)). [back_unit_del(515),unit_del(a,560)].
% 5.58/5.84 567 -m1_group_2(A,c6) | u1_struct_0(k2_latsubgr(c6,k1_tarski(c7))) != u1_struct_0(A) | g1_group_1(u1_struct_0(A),u1_group_1(A)) = k2_latsubgr(c6,k1_tarski(c7)). [back_rewrite(559),rewrite([566(20)]),flip(c)].
% 5.58/5.84 708 -v1_group_1(A) | -m1_group_2(A,c6) | k1_funct_1(k1_latsubgr(c6),A) = u1_struct_0(A). [resolve(361,a,294,f),unit_del(a,175),unit_del(b,176),unit_del(c,177),unit_del(d,178),unit_del(e,362)].
% 5.58/5.84 709 m1_relset_1(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))). [resolve(361,a,164,a)].
% 5.58/5.84 710 m1_subset_1(k1_latsubgr(c6),k1_zfmisc_1(k2_zfmisc_1(k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))))). [resolve(361,a,133,a)].
% 5.58/5.84 713 k1_zfmisc_1(u1_struct_0(c6)) = k1_xboole_0 | k4_relset_1(k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6)),k1_latsubgr(c6)) = k1_group_3(c6). [resolve(361,a,109,a),flip(a),unit_del(b,362)].
% 5.58/5.84 951 -m1_subset_1(A,k1_group_3(c6)) | k8_funct_2(k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6)),k1_latsubgr(c6),A) = k1_funct_1(k1_latsubgr(c6),A). [resolve(709,a,262,c),unit_del(a,360),unit_del(b,362),unit_del(e,175),unit_del(f,176),unit_del(g,177),unit_del(h,178)].
% 5.58/5.84 952 k2_funct_2(k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6)),k1_latsubgr(c6),A) = k9_relat_1(k1_latsubgr(c6),A). [resolve(709,a,255,b),unit_del(a,362),unit_del(c,175),unit_del(d,176),unit_del(e,177),unit_del(f,178)].
% 5.58/5.84 953 -m1_subset_1(A,k1_group_3(c6)) | m1_subset_1(k8_funct_2(k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6)),k1_latsubgr(c6),A),k1_zfmisc_1(u1_struct_0(c6))). [resolve(709,a,196,c),unit_del(a,360),unit_del(b,362),unit_del(e,175),unit_del(f,176),unit_del(g,177),unit_del(h,178)].
% 5.58/5.84 954 m1_subset_1(k9_relat_1(k1_latsubgr(c6),A),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(c6)))). [resolve(709,a,195,b),rewrite([952(16)]),unit_del(a,362),unit_del(c,175),unit_del(d,176),unit_del(e,177),unit_del(f,178)].
% 5.58/5.84 957 k4_relset_1(k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6)),k1_latsubgr(c6)) = k1_relat_1(k1_latsubgr(c6)). [resolve(709,a,161,a)].
% 5.58/5.84 959 v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(k1_group_3(c6))) | k2_latsubgr(c6,k1_tarski(c7)) != k2_latsubgr(c6,A) | k6_setfam_1(u1_struct_0(c6),k9_relat_1(k1_latsubgr(c6),A)) = u1_struct_0(k2_latsubgr(c6,k1_tarski(c7))). [back_rewrite(564),rewrite([952(22)])].
% 5.58/5.84 963 k1_zfmisc_1(u1_struct_0(c6)) = k1_xboole_0 | k1_relat_1(k1_latsubgr(c6)) = k1_group_3(c6). [back_rewrite(713),rewrite([957(13)])].
% 5.58/5.84 1305 k6_setfam_1(u1_struct_0(c6),k9_relat_1(k1_latsubgr(c6),A)) = k1_setfam_1(k9_relat_1(k1_latsubgr(c6),A)). [resolve(954,a,163,a)].
% 5.58/5.84 1314 v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(k1_group_3(c6))) | k2_latsubgr(c6,k1_tarski(c7)) != k2_latsubgr(c6,A) | k1_setfam_1(k9_relat_1(k1_latsubgr(c6),A)) = u1_struct_0(k2_latsubgr(c6,k1_tarski(c7))). [back_rewrite(959),rewrite([1305(18)])].
% 5.58/5.84 1447 m1_group_2(c7,c6). [resolve(436,c,177,a),xx(d),unit_del(a,175),unit_del(b,176),unit_del(c,178)].
% 5.58/5.84 1450 l1_group_1(c7). [resolve(1447,a,132,d),unit_del(a,175),unit_del(b,176),unit_del(c,178)].
% 5.58/5.84 1455 k1_group_3(c6) != A | r2_hidden(c7,A) | -v1_group_1(c7). [resolve(1447,a,117,h),unit_del(a,175),unit_del(b,176),unit_del(c,177),unit_del(d,178)].
% 5.58/5.84 1467 v1_group_1(c7). [resolve(437,c,177,a),xx(d),unit_del(a,175),unit_del(b,176),unit_del(c,178)].
% 5.58/5.84 1468 k1_group_3(c6) != A | r2_hidden(c7,A). [back_unit_del(1455),unit_del(c,1467)].
% 5.58/5.84 1471 g1_group_1(u1_struct_0(c7),u1_group_1(c7)) = c7. [resolve(1467,a,106,b),unit_del(a,1450)].
% 5.58/5.84 1729 v1_relat_1(k1_latsubgr(c6)). [resolve(710,a,108,a)].
% 5.58/5.84 3056 u1_struct_0(k2_latsubgr(c6,k1_tarski(c7))) != u1_struct_0(c7). [resolve(567,a,1447,a),rewrite([1471(13)]),flip(b),unit_del(b,371)].
% 5.58/5.84 3240 k1_zfmisc_1(u1_struct_0(c6)) = k1_xboole_0 | r2_hidden(c7,k1_relat_1(k1_latsubgr(c6))). [resolve(963,b,1468,a(flip))].
% 5.58/5.84 3244 k1_zfmisc_1(u1_struct_0(c6)) = k1_xboole_0 | k1_tarski(k1_funct_1(k1_latsubgr(c6),c7)) = k9_relat_1(k1_latsubgr(c6),k1_tarski(c7)). [resolve(3240,b,267,b),unit_del(b,1729),unit_del(d,175),unit_del(e,176),unit_del(f,177),unit_del(g,178)].
% 5.58/5.84 5079 k1_funct_1(k1_latsubgr(c6),c7) = u1_struct_0(c7). [resolve(708,b,1447,a),unit_del(a,1467)].
% 5.58/5.84 5086 k1_zfmisc_1(u1_struct_0(c6)) = k1_xboole_0 | k9_relat_1(k1_latsubgr(c6),k1_tarski(c7)) = k1_tarski(u1_struct_0(c7)). [back_rewrite(3244),rewrite([5079(9)]),flip(b)].
% 5.58/5.84 13784 k8_funct_2(k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6)),k1_latsubgr(c6),c7) = u1_struct_0(c7). [resolve(951,a,179,a),rewrite([5079(13)])].
% 5.58/5.84 13926 m1_subset_1(u1_struct_0(c7),k1_zfmisc_1(u1_struct_0(c6))). [resolve(953,a,179,a),rewrite([13784(9)])].
% 5.58/5.84 13935 r2_hidden(u1_struct_0(c7),k1_zfmisc_1(u1_struct_0(c6))). [resolve(13926,a,168,a),unit_del(a,142)].
% 5.58/5.84 20111 k1_setfam_1(k9_relat_1(k1_latsubgr(c6),k1_tarski(c7))) = u1_struct_0(k2_latsubgr(c6,k1_tarski(c7))). [resolve(1314,b,370,a),xx(b),unit_del(a,144)].
% 5.58/5.84 24150 k1_zfmisc_1(u1_struct_0(c6)) = k1_xboole_0. [para(5086(b,1),1305(a,2,1)),rewrite([1305(13),20111(11),166(14)]),unit_del(b,3056)].
% 5.58/5.84 24232 r2_hidden(u1_struct_0(c7),k1_xboole_0). [back_rewrite(13935),rewrite([24150(5)])].
% 5.58/5.84 24371 $F. [resolve(24232,a,173,a),unit_del(a,143)].
% 5.58/5.84
% 5.58/5.84 % SZS output end Refutation
% 5.58/5.84 ============================== end of proof ==========================
% 5.58/5.84
% 5.58/5.84 ============================== STATISTICS ============================
% 5.58/5.84
% 5.58/5.84 Given=3739. Generated=152268. Kept=24233. proofs=1.
% 5.58/5.84 Usable=3504. Sos=9993. Demods=339. Limbo=0, Disabled=10916. Hints=0.
% 5.58/5.84 Megabytes=35.67.
% 5.58/5.84 User_CPU=4.71, System_CPU=0.12, Wall_clock=5.
% 5.58/5.84
% 5.58/5.84 ============================== end of statistics =====================
% 5.58/5.84
% 5.58/5.84 ============================== end of search =========================
% 5.58/5.84
% 5.58/5.84 THEOREM PROVED
% 5.58/5.84 % SZS status Theorem
% 5.58/5.84
% 5.58/5.84 Exiting with 1 proof.
% 5.58/5.84
% 5.58/5.84 Process 3592 exit (max_proofs) Mon Jun 13 07:10:13 2022
% 5.58/5.84 Prover9 interrupted
%------------------------------------------------------------------------------