TSTP Solution File: GRP646+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP646+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n003.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 : Timeout 300.08s 300.34s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP646+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n003.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 23:11:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.45/1.08 ============================== Prover9 ===============================
% 0.45/1.08 Prover9 (32) version 2009-11A, November 2009.
% 0.45/1.08 Process 5468 was started by sandbox2 on n003.cluster.edu,
% 0.45/1.08 Mon Jun 13 23:11:55 2022
% 0.45/1.08 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_5315_n003.cluster.edu".
% 0.45/1.08 ============================== end of head ===========================
% 0.45/1.08
% 0.45/1.08 ============================== INPUT =================================
% 0.45/1.08
% 0.45/1.08 % Reading from file /tmp/Prover9_5315_n003.cluster.edu
% 0.45/1.08
% 0.45/1.08 set(prolog_style_variables).
% 0.45/1.08 set(auto2).
% 0.45/1.08 % set(auto2) -> set(auto).
% 0.45/1.08 % set(auto) -> set(auto_inference).
% 0.45/1.08 % set(auto) -> set(auto_setup).
% 0.45/1.08 % set(auto_setup) -> set(predicate_elim).
% 0.45/1.08 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.45/1.08 % set(auto) -> set(auto_limits).
% 0.45/1.08 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.45/1.08 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.45/1.08 % set(auto) -> set(auto_denials).
% 0.45/1.08 % set(auto) -> set(auto_process).
% 0.45/1.08 % set(auto2) -> assign(new_constants, 1).
% 0.45/1.08 % set(auto2) -> assign(fold_denial_max, 3).
% 0.45/1.08 % set(auto2) -> assign(max_weight, "200.000").
% 0.45/1.08 % set(auto2) -> assign(max_hours, 1).
% 0.45/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.45/1.08 % set(auto2) -> assign(max_seconds, 0).
% 0.45/1.08 % set(auto2) -> assign(max_minutes, 5).
% 0.45/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.45/1.08 % set(auto2) -> set(sort_initial_sos).
% 0.45/1.08 % set(auto2) -> assign(sos_limit, -1).
% 0.45/1.08 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.45/1.08 % set(auto2) -> assign(max_megs, 400).
% 0.45/1.08 % set(auto2) -> assign(stats, some).
% 0.45/1.08 % set(auto2) -> clear(echo_input).
% 0.45/1.08 % set(auto2) -> set(quiet).
% 0.45/1.08 % set(auto2) -> clear(print_initial_clauses).
% 0.45/1.08 % set(auto2) -> clear(print_given).
% 0.45/1.08 assign(lrs_ticks,-1).
% 0.45/1.08 assign(sos_limit,10000).
% 0.45/1.08 assign(order,kbo).
% 0.45/1.08 set(lex_order_vars).
% 0.45/1.08 clear(print_given).
% 0.45/1.08
% 0.45/1.08 % formulas(sos). % not echoed (86 formulas)
% 0.45/1.08
% 0.45/1.08 ============================== end of input ==========================
% 0.45/1.08
% 0.45/1.08 % From the command line: assign(max_seconds, 300).
% 0.45/1.08
% 0.45/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.45/1.08
% 0.45/1.08 % Formulas that are not ordinary clauses:
% 0.45/1.08 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].
% 0.45/1.08 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 7 (all A all B (A = B <-> r1_tarski(A,B) & r1_tarski(B,A))) # label(d10_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 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].
% 0.45/1.08 11 (all A (-v3_struct_0(A) & v3_group_1(A) & l1_group_1(A) -> (all B (-v3_struct_0(B) & v3_group_1(B) & l1_group_1(B) -> (m1_group_2(B,A) <-> r1_tarski(u1_struct_0(B),u1_struct_0(A)) & u1_group_1(B) = k1_realset1(u1_group_1(A),u1_struct_0(B))))))) # label(d5_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 12 (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) -> (B = k5_group_2(A) <-> u1_struct_0(B) = k6_domain_1(u1_struct_0(A),k2_group_1(A))))))) # label(d7_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 13 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> v1_group_1(g1_group_1(A,B)) & l1_group_1(g1_group_1(A,B)))) # label(dt_g1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 14 (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].
% 0.45/1.08 15 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 16 $T # label(dt_k1_group_3) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 17 (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].
% 0.45/1.08 18 $T # label(dt_k1_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 19 $T # label(dt_k1_setfam_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 20 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 21 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 22 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 23 (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].
% 0.45/1.08 24 (all A (-v3_struct_0(A) & l1_group_1(A) -> m1_subset_1(k2_group_1(A),u1_struct_0(A)))) # label(dt_k2_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 25 (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].
% 0.45/1.08 26 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 27 (all A v4_finsub_1(k5_finsub_1(A))) # label(dt_k5_finsub_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 28 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> v1_group_1(k5_group_2(A)) & m1_group_2(k5_group_2(A),A))) # label(dt_k5_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 29 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> m1_subset_1(k6_domain_1(A,B),k1_zfmisc_1(A)))) # label(dt_k6_domain_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 30 (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].
% 0.45/1.08 31 (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].
% 0.45/1.08 32 $T # label(dt_k9_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 33 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 34 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 35 (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].
% 0.45/1.08 36 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) -> (all C (m1_group_6(C,A,B) -> m1_group_2(C,A))))) # label(dt_m1_group_6) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 37 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 38 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 39 (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].
% 0.45/1.08 40 (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].
% 0.45/1.08 41 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 42 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 43 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 44 (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].
% 0.45/1.08 45 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) -> (exists C m1_group_6(C,A,B)))) # label(existence_m1_group_6) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 46 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 47 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 48 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 49 (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].
% 0.45/1.08 50 (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].
% 0.45/1.08 51 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 52 (all A -v1_xboole_0(k1_tarski(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 53 (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].
% 0.45/1.08 54 (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].
% 0.45/1.08 55 (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].
% 0.45/1.08 56 (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].
% 0.45/1.08 57 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 58 (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].
% 0.45/1.08 59 (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].
% 0.45/1.08 60 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 61 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 62 (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].
% 0.45/1.08 63 (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].
% 0.45/1.08 64 (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].
% 0.45/1.08 65 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> k6_domain_1(A,B) = k1_tarski(B))) # label(redefinition_k6_domain_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 66 (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].
% 0.45/1.08 67 (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].
% 0.45/1.08 68 (all A all B (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_group_2(B,A) -> (all C (m1_group_6(C,A,B) <-> m1_group_2(C,B))))) # label(redefinition_m1_group_6) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 69 (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].
% 0.45/1.08 70 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(B) & m1_group_2(B,A) & v1_group_1(C) & m1_group_2(C,A) -> (r1_group_2(A,B,C) <-> B = C))) # label(redefinition_r1_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 71 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(B) & m1_group_2(B,A) & v1_group_1(C) & m1_group_2(C,A) -> r1_group_2(A,B,B))) # label(reflexivity_r1_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 72 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 73 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & v1_group_1(B) & m1_group_2(B,A) & v1_group_1(C) & m1_group_2(C,A) -> (r1_group_2(A,B,C) -> r1_group_2(A,C,B)))) # label(symmetry_r1_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 74 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 75 (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].
% 0.45/1.08 76 (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].
% 0.45/1.08 77 (all A all B all C all D (v1_funct_1(D) & v1_funct_2(D,A,B) & m2_relset_1(D,A,B) -> (B != k1_xboole_0 -> (all E ((exists F (r2_hidden(F,A) & r2_hidden(F,C) & E = k1_funct_1(D,F))) -> r2_hidden(E,k9_relat_1(D,C))))))) # label(t43_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 78 (all A all B (r2_hidden(A,B) -> r1_tarski(k1_setfam_1(B),A))) # label(t4_setfam_1) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 79 (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].
% 0.45/1.08 80 (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].
% 0.45/1.08 81 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 82 (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) -> m1_group_2(k5_group_2(A),B))))) # label(t77_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 83 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 84 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.45/1.08 85 -(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))) -> (r2_hidden(k5_group_2(A),B) -> r1_group_2(A,k2_latsubgr(A,B),k5_group_2(A))))))) # label(t25_latsubgr) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.45/1.08
% 0.45/1.08 ============================== end of process non-clausal formulas ===
% 0.45/1.08
% 0.45/1.08 ============================== PROCESS INITIAL CLAUSES ===============
% 0.45/1.08
% 0.45/1.08 ============================== PREDICATE ELIMINATION =================
% 0.45/1.08 86 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(17)].
% 0.45/1.08 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)].
% 0.45/1.08 88 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)].
% 0.45/1.08 89 v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(C,A,B) | -v1_funct_1(C) | -v1_funct_2(C,A,B) | -v1_xboole_0(C) # label(cc6_funct_2) # label(axiom). [clausify(6)].
% 0.45/1.08 90 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)].
% 0.45/1.08 91 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)].
% 0.45/1.08 92 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)].
% 0.45/1.08 93 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)].
% 0.45/1.08 94 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)].
% 0.45/1.08 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) | v1_group_1(g1_group_1(B,A)) # label(dt_g1_group_1) # label(axiom). [clausify(13)].
% 0.45/1.08 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) | l1_group_1(g1_group_1(B,A)) # label(dt_g1_group_1) # label(axiom). [clausify(13)].
% 0.45/1.08 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(86,e,87,b)].
% 0.45/1.08 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(86,e,88,c)].
% 0.45/1.08 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(86,e,89,d)].
% 0.45/1.08 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(86,e,91,e)].
% 0.45/1.08 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(86,e,92,e)].
% 0.45/1.08 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(86,e,93,e)].
% 0.45/1.08 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(86,e,94,e)].
% 0.45/1.08 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(86,e,95,a)].
% 0.45/1.08 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(86,e,96,a)].
% 0.45/1.08 97 -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(23)].
% 0.45/1.08 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(97,a,86,e)].
% 0.45/1.08 98 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(31)].
% 0.45/1.08 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(98,b,86,e)].
% 0.45/1.08 99 -l1_group_1(A) | v1_funct_1(u1_group_1(A)) # label(dt_u1_group_1) # label(axiom). [clausify(40)].
% 0.45/1.08 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(99,b,87,b)].
% 0.45/1.08 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(99,b,88,c)].
% 0.45/1.08 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(99,b,89,d)].
% 0.45/1.08 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(99,b,91,e)].
% 0.45/1.08 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(99,b,92,e)].
% 0.45/1.08 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(99,b,93,e)].
% 0.45/1.08 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(99,b,94,e)].
% 0.45/1.08 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(99,b,95,a)].
% 0.45/1.08 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(99,b,96,a)].
% 0.45/1.08 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(99,b,97,a)].
% 0.45/1.08 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(99,b,98,b)].
% 0.45/1.08 100 -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(54)].
% 0.45/1.08 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(100,a,86,e)].
% 0.45/1.08 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(100,a,99,b)].
% 0.45/1.08 101 -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(54)].
% 0.45/1.08 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(101,a,86,e)].
% 0.45/1.08 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(101,a,99,b)].
% 0.45/1.08 102 v1_funct_1(f8(A,B)) # label(rc1_funct_2) # label(axiom). [clausify(55)].
% 0.45/1.08 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(102,a,87,b)].
% 0.45/1.08 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(102,a,88,c)].
% 0.45/1.08 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(102,a,89,d)].
% 0.45/1.08 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_2(f8(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(f8(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) != f8(B,C) | -v1_group_1(D) | -m1_group_2(D,A) | k1_funct_1(f8(B,C),D) = u1_struct_0(D). [resolve(102,a,91,e)].
% 0.45/1.08 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_2(f8(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(f8(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) = f8(B,C) | v1_group_1(f2(A,f8(B,C))). [resolve(102,a,92,e)].
% 0.45/1.08 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_2(f8(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(f8(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) = f8(B,C) | m1_group_2(f2(A,f8(B,C)),A). [resolve(102,a,93,e)].
% 0.45/1.08 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_2(f8(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(f8(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) = f8(B,C) | k1_funct_1(f8(B,C),f2(A,f8(B,C))) != u1_struct_0(f2(A,f8(B,C))). [resolve(102,a,94,e)].
% 0.45/1.09 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(102,a,95,a)].
% 0.45/1.09 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(102,a,96,a)].
% 0.45/1.09 Derived: -v1_funct_2(f8(A,B),C,D) | -m1_relset_1(f8(A,B),C,D) | m1_subset_1(k2_funct_2(C,D,f8(A,B),E),k1_zfmisc_1(D)). [resolve(102,a,97,a)].
% 0.45/1.09 Derived: v1_xboole_0(A) | -v1_funct_2(f8(B,C),A,D) | -m1_relset_1(f8(B,C),A,D) | -m1_subset_1(E,A) | m1_subset_1(k8_funct_2(A,D,f8(B,C),E),D). [resolve(102,a,98,b)].
% 0.45/1.09 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(102,a,100,a)].
% 0.45/1.09 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(102,a,101,a)].
% 0.45/1.09 103 v1_funct_1(f10(A,B)) # label(rc2_partfun1) # label(axiom). [clausify(58)].
% 0.45/1.09 Derived: -m1_relset_1(f10(A,B),C,D) | -v1_partfun1(f10(A,B),C,D) | v1_funct_2(f10(A,B),C,D). [resolve(103,a,87,b)].
% 0.45/1.09 Derived: v1_xboole_0(A) | -m1_relset_1(f10(B,C),D,A) | -v1_funct_2(f10(B,C),D,A) | v1_partfun1(f10(B,C),D,A). [resolve(103,a,88,c)].
% 0.45/1.09 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(f10(C,D),A,B) | -v1_funct_2(f10(C,D),A,B) | -v1_xboole_0(f10(C,D)). [resolve(103,a,89,d)].
% 0.45/1.09 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_2(f10(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(f10(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) != f10(B,C) | -v1_group_1(D) | -m1_group_2(D,A) | k1_funct_1(f10(B,C),D) = u1_struct_0(D). [resolve(103,a,91,e)].
% 0.45/1.09 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_2(f10(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(f10(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) = f10(B,C) | v1_group_1(f2(A,f10(B,C))). [resolve(103,a,92,e)].
% 0.45/1.09 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_2(f10(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(f10(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) = f10(B,C) | m1_group_2(f2(A,f10(B,C)),A). [resolve(103,a,93,e)].
% 0.45/1.09 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -v1_funct_2(f10(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | -m2_relset_1(f10(B,C),k1_group_3(A),k1_zfmisc_1(u1_struct_0(A))) | k1_latsubgr(A) = f10(B,C) | k1_funct_1(f10(B,C),f2(A,f10(B,C))) != u1_struct_0(f2(A,f10(B,C))). [resolve(103,a,94,e)].
% 0.45/1.09 Derived: -v1_funct_2(f10(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f10(A,B),k2_zfmisc_1(C,C),C) | v1_group_1(g1_group_1(C,f10(A,B))). [resolve(103,a,95,a)].
% 0.45/1.09 Derived: -v1_funct_2(f10(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f10(A,B),k2_zfmisc_1(C,C),C) | l1_group_1(g1_group_1(C,f10(A,B))). [resolve(103,a,96,a)].
% 0.45/1.09 Derived: -v1_funct_2(f10(A,B),C,D) | -m1_relset_1(f10(A,B),C,D) | m1_subset_1(k2_funct_2(C,D,f10(A,B),E),k1_zfmisc_1(D)). [resolve(103,a,97,a)].
% 0.45/1.09 Derived: v1_xboole_0(A) | -v1_funct_2(f10(B,C),A,D) | -m1_relset_1(f10(B,C),A,D) | -m1_subset_1(E,A) | m1_subset_1(k8_funct_2(A,D,f10(B,C),E),D). [resolve(103,a,98,b)].
% 0.45/1.09 Derived: -v1_funct_2(f10(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f10(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f10(A,B)) | D = C. [resolve(103,a,100,a)].
% 0.45/1.09 Derived: -v1_funct_2(f10(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f10(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f10(A,B)) | E = f10(A,B). [resolve(103,a,101,a)].
% 0.45/1.09 104 -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(64)].
% 0.80/1.10 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(104,a,86,e)].
% 0.80/1.10 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(104,a,99,b)].
% 0.80/1.10 Derived: -v1_funct_2(f8(A,B),C,D) | -m1_relset_1(f8(A,B),C,D) | k9_relat_1(f8(A,B),E) = k2_funct_2(C,D,f8(A,B),E). [resolve(104,a,102,a)].
% 0.80/1.10 Derived: -v1_funct_2(f10(A,B),C,D) | -m1_relset_1(f10(A,B),C,D) | k9_relat_1(f10(A,B),E) = k2_funct_2(C,D,f10(A,B),E). [resolve(104,a,103,a)].
% 0.80/1.10 105 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(67)].
% 0.80/1.10 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(105,b,86,e)].
% 0.80/1.10 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(105,b,99,b)].
% 0.80/1.10 Derived: v1_xboole_0(A) | -v1_funct_2(f8(B,C),A,D) | -m1_relset_1(f8(B,C),A,D) | -m1_subset_1(E,A) | k8_funct_2(A,D,f8(B,C),E) = k1_funct_1(f8(B,C),E). [resolve(105,b,102,a)].
% 0.80/1.10 Derived: v1_xboole_0(A) | -v1_funct_2(f10(B,C),A,D) | -m1_relset_1(f10(B,C),A,D) | -m1_subset_1(E,A) | k8_funct_2(A,D,f10(B,C),E) = k1_funct_1(f10(B,C),E). [resolve(105,b,103,a)].
% 0.80/1.10 106 -v1_funct_1(A) | -v1_funct_2(A,B,C) | -m2_relset_1(A,B,C) | k1_xboole_0 = C | -r2_hidden(D,B) | -r2_hidden(D,E) | k1_funct_1(A,D) != F | r2_hidden(F,k9_relat_1(A,E)) # label(t43_funct_2) # label(axiom). [clausify(77)].
% 0.80/1.10 Derived: -v1_funct_2(k1_latsubgr(A),B,C) | -m2_relset_1(k1_latsubgr(A),B,C) | k1_xboole_0 = C | -r2_hidden(D,B) | -r2_hidden(D,E) | k1_funct_1(k1_latsubgr(A),D) != F | r2_hidden(F,k9_relat_1(k1_latsubgr(A),E)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(106,a,86,e)].
% 0.80/1.10 Derived: -v1_funct_2(u1_group_1(A),B,C) | -m2_relset_1(u1_group_1(A),B,C) | k1_xboole_0 = C | -r2_hidden(D,B) | -r2_hidden(D,E) | k1_funct_1(u1_group_1(A),D) != F | r2_hidden(F,k9_relat_1(u1_group_1(A),E)) | -l1_group_1(A). [resolve(106,a,99,b)].
% 0.80/1.10 Derived: -v1_funct_2(f8(A,B),C,D) | -m2_relset_1(f8(A,B),C,D) | k1_xboole_0 = D | -r2_hidden(E,C) | -r2_hidden(E,F) | k1_funct_1(f8(A,B),E) != V6 | r2_hidden(V6,k9_relat_1(f8(A,B),F)). [resolve(106,a,102,a)].
% 0.80/1.10 Derived: -v1_funct_2(f10(A,B),C,D) | -m2_relset_1(f10(A,B),C,D) | k1_xboole_0 = D | -r2_hidden(E,C) | -r2_hidden(E,F) | k1_funct_1(f10(A,B),E) != V6 | r2_hidden(V6,k9_relat_1(f10(A,B),F)). [resolve(106,a,103,a)].
% 0.80/1.10 107 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(50)].
% 0.80/1.10 108 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(33)].
% 0.80/1.10 109 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(43)].
% 0.80/1.10 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_group_1(A). [resolve(107,b,108,b)].
% 0.80/1.10 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(107,b,109,a)].
% 0.80/1.10 110 l1_struct_0(c5) # label(rc3_struct_0) # label(axiom). [clausify(61)].
% 0.80/1.10 Derived: v3_struct_0(c5) | -v1_xboole_0(u1_struct_0(c5)). [resolve(110,a,107,b)].
% 0.80/1.10 111 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f12(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(62)].
% 0.80/1.10 Derived: v3_struct_0(A) | m1_subset_1(f12(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_group_1(A). [resolve(111,b,108,b)].
% 0.80/1.10 Derived: v3_struct_0(c2) | m1_subset_1(f12(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(111,b,109,a)].
% 0.80/1.10 Derived: v3_struct_0(c5) | m1_subset_1(f12(c5),k1_zfmisc_1(u1_struct_0(c5))). [resolve(111,b,110,a)].
% 0.80/1.10 112 v3_Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------