TSTP Solution File: GRP618+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP618+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:19:52 EDT 2022
% Result : Timeout 300.07s 300.40s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP618+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n018.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 19:47:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.44/1.08 ============================== Prover9 ===============================
% 0.44/1.08 Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.08 Process 25627 was started by sandbox on n018.cluster.edu,
% 0.44/1.08 Mon Jun 13 19:47:43 2022
% 0.44/1.08 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_25453_n018.cluster.edu".
% 0.44/1.08 ============================== end of head ===========================
% 0.44/1.08
% 0.44/1.08 ============================== INPUT =================================
% 0.44/1.08
% 0.44/1.08 % Reading from file /tmp/Prover9_25453_n018.cluster.edu
% 0.44/1.08
% 0.44/1.08 set(prolog_style_variables).
% 0.44/1.08 set(auto2).
% 0.44/1.08 % set(auto2) -> set(auto).
% 0.44/1.08 % set(auto) -> set(auto_inference).
% 0.44/1.08 % set(auto) -> set(auto_setup).
% 0.44/1.08 % set(auto_setup) -> set(predicate_elim).
% 0.44/1.08 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/1.08 % set(auto) -> set(auto_limits).
% 0.44/1.08 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/1.08 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/1.08 % set(auto) -> set(auto_denials).
% 0.44/1.08 % set(auto) -> set(auto_process).
% 0.44/1.08 % set(auto2) -> assign(new_constants, 1).
% 0.44/1.08 % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/1.08 % set(auto2) -> assign(max_weight, "200.000").
% 0.44/1.08 % set(auto2) -> assign(max_hours, 1).
% 0.44/1.08 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/1.08 % set(auto2) -> assign(max_seconds, 0).
% 0.44/1.08 % set(auto2) -> assign(max_minutes, 5).
% 0.44/1.08 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/1.08 % set(auto2) -> set(sort_initial_sos).
% 0.44/1.08 % set(auto2) -> assign(sos_limit, -1).
% 0.44/1.08 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/1.08 % set(auto2) -> assign(max_megs, 400).
% 0.44/1.08 % set(auto2) -> assign(stats, some).
% 0.44/1.08 % set(auto2) -> clear(echo_input).
% 0.44/1.08 % set(auto2) -> set(quiet).
% 0.44/1.08 % set(auto2) -> clear(print_initial_clauses).
% 0.44/1.08 % set(auto2) -> clear(print_given).
% 0.44/1.08 assign(lrs_ticks,-1).
% 0.44/1.08 assign(sos_limit,10000).
% 0.44/1.08 assign(order,kbo).
% 0.44/1.08 set(lex_order_vars).
% 0.44/1.08 clear(print_given).
% 0.44/1.08
% 0.44/1.08 % formulas(sos). % not echoed (61 formulas)
% 0.44/1.08
% 0.44/1.08 ============================== end of input ==========================
% 0.44/1.08
% 0.44/1.08 % From the command line: assign(max_seconds, 300).
% 0.44/1.08
% 0.44/1.08 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/1.08
% 0.44/1.08 % Formulas that are not ordinary clauses:
% 0.44/1.08 1 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_xboole_0(A))) # label(rc1_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 2 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 3 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 4 (all A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A) -> v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 5 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 6 (all A all B exists C (m1_relset_1(C,A,B) & v1_relat_1(C) & v1_funct_1(C) & v1_funct_2(C,A,B))) # label(rc1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 7 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 8 (all A all B exists C (m1_relset_1(C,A,B) & v1_relat_1(C) & v1_funct_1(C))) # label(rc2_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 9 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 10 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 11 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 12 (all A all B all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v1_partfun1(C,A,B) -> v1_funct_1(C) & v1_funct_2(C,A,B)))) # label(cc1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 13 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) -> v1_relat_1(C))) # label(cc1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 14 (all A (-v3_struct_0(A) & l1_struct_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B))))) # label(rc5_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 15 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 16 (all A all B (m1_subset_1(A,k1_zfmisc_1(B)) <-> r1_tarski(A,B))) # label(t3_subset) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 17 (all A all B all C (r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) -> m1_subset_1(A,C))) # label(t4_subset) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 18 (all A all B all C -(r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) & v1_xboole_0(C))) # label(t5_subset) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 19 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 20 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 21 (all A all B all C (m2_relset_1(C,A,B) <-> m1_relset_1(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 22 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 23 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 24 (all A all B all C (m2_relset_1(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))) # label(dt_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 25 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 26 (all A all B (-v1_xboole_0(B) -> (all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v1_funct_2(C,A,B) -> v1_funct_1(C) & v1_partfun1(C,A,B) & v1_funct_2(C,A,B)))))) # label(cc5_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 27 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> (all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v1_funct_2(C,A,B) -> v1_funct_1(C) & -v1_xboole_0(C) & v1_partfun1(C,A,B) & v1_funct_2(C,A,B)))))) # label(cc6_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 28 (all A all B (-v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> -v3_struct_0(g1_group_1(A,B)) & v1_group_1(g1_group_1(A,B)))) # label(fc1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 29 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 30 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 31 (all A all B (m1_subset_1(A,B) -> v1_xboole_0(B) | r2_hidden(A,B))) # label(t2_subset) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 32 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 33 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 34 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 35 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> (all C all D (g1_group_1(A,B) = g1_group_1(C,D) -> A = C & B = D)))) # label(free_g1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 36 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 37 (all A all B (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) -> v1_group_1(g1_group_1(A,B)) & l1_group_1(g1_group_1(A,B)))) # label(dt_g1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 38 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 39 (all A (l1_group_1(A) -> v1_funct_1(u1_group_1(A)) & v1_funct_2(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 40 (all A (-v3_struct_0(A) & l1_struct_0(A) -> -v1_xboole_0(u1_struct_0(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 41 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (exists B (m1_group_2(B,A) & -v3_struct_0(B) & v1_group_1(B) & v2_group_1(B) & v3_group_1(B) & v4_group_1(B))))) # label(rc1_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 42 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (exists B (m1_group_2(B,A) & -v3_struct_0(B) & v1_group_1(B) & v2_group_1(B) & v3_group_1(B) & v4_group_1(B) & v1_group_3(B,A))))) # label(rc1_group_3) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 43 (exists A (l1_group_1(A) & -v3_struct_0(A) & v1_group_1(A) & v2_group_1(A) & v3_group_1(A) & v4_group_1(A))) # label(rc3_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 44 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 45 (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].
% 0.83/1.08 46 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 47 (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].
% 0.83/1.08 48 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 49 (all A all B all C (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k2_group_3(A,B,C),u1_struct_0(A)))) # label(dt_k2_group_3) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 50 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 51 (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].
% 0.83/1.08 52 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 53 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 54 (all A (l1_group_1(A) -> (-v3_struct_0(A) & v3_group_1(A) -> -v3_struct_0(A) & v2_group_1(A)))) # label(cc1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 55 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> v4_group_1(B))))) # label(cc1_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 56 (exists A (l1_group_1(A) & v1_group_1(A))) # label(rc1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 57 (exists A (l1_group_1(A) & -v3_struct_0(A) & v1_group_1(A))) # label(rc2_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 58 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (m1_subset_1(D,u1_struct_0(B)) -> r1_rlvect_1(B,k2_group_3(A,D,C))))))) -> v1_group_3(B,A)))))) # label(l1_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 59 (all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> (v1_group_3(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (m1_subset_1(D,u1_struct_0(B)) -> r1_rlvect_1(B,k2_group_3(A,D,C)))))))))))) # label(l2_autgroup) # label(axiom) # label(non_clause). [assumption].
% 0.83/1.08 60 -(all A (-v3_struct_0(A) & v1_group_1(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_group_2(B,A) -> ((all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (m1_subset_1(D,u1_struct_0(B)) -> r1_rlvect_1(B,k2_group_3(A,D,C))))))) <-> v1_group_3(B,A)))))) # label(t1_autgroup) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.83/1.08
% 0.83/1.08 ============================== end of process non-clausal formulas ===
% 0.83/1.08
% 0.83/1.08 ============================== PROCESS INITIAL CLAUSES ===============
% 0.83/1.08
% 0.83/1.08 ============================== PREDICATE ELIMINATION =================
% 0.83/1.08 61 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(4)].
% 0.83/1.08 62 v1_relat_1(c1) # label(rc1_partfun1) # label(axiom). [clausify(1)].
% 0.83/1.08 63 v1_relat_1(c2) # label(rc3_funct_1) # label(axiom). [clausify(2)].
% 0.83/1.08 Derived: -v1_xboole_0(c1) | -v1_funct_1(c1) | v2_funct_1(c1). [resolve(61,a,62,a)].
% 0.83/1.08 Derived: -v1_xboole_0(c2) | -v1_funct_1(c2) | v2_funct_1(c2). [resolve(61,a,63,a)].
% 0.83/1.08 64 v1_relat_1(c3) # label(rc1_funct_1) # label(axiom). [clausify(5)].
% 0.83/1.08 Derived: -v1_xboole_0(c3) | -v1_funct_1(c3) | v2_funct_1(c3). [resolve(64,a,61,a)].
% 0.83/1.08 65 v1_relat_1(f1(A,B)) # label(rc1_funct_2) # label(axiom). [clausify(6)].
% 0.83/1.08 Derived: -v1_xboole_0(f1(A,B)) | -v1_funct_1(f1(A,B)) | v2_funct_1(f1(A,B)). [resolve(65,a,61,a)].
% 0.83/1.08 66 v1_relat_1(c4) # label(rc2_funct_1) # label(axiom). [clausify(7)].
% 0.83/1.08 Derived: -v1_xboole_0(c4) | -v1_funct_1(c4) | v2_funct_1(c4). [resolve(66,a,61,a)].
% 0.83/1.08 67 v1_relat_1(f2(A,B)) # label(rc2_partfun1) # label(axiom). [clausify(8)].
% 0.83/1.08 Derived: -v1_xboole_0(f2(A,B)) | -v1_funct_1(f2(A,B)) | v2_funct_1(f2(A,B)). [resolve(67,a,61,a)].
% 0.83/1.08 68 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_relat_1(A) # label(cc1_relset_1) # label(axiom). [clausify(13)].
% 0.83/1.08 Derived: -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A). [resolve(68,b,61,a)].
% 0.83/1.08 69 -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(12)].
% 0.83/1.08 70 v1_funct_1(c1) # label(rc1_partfun1) # label(axiom). [clausify(1)].
% 0.83/1.08 71 v1_funct_1(c2) # label(rc3_funct_1) # label(axiom). [clausify(2)].
% 0.83/1.08 72 v1_funct_1(c3) # label(rc1_funct_1) # label(axiom). [clausify(5)].
% 0.83/1.08 73 v1_funct_1(f1(A,B)) # label(rc1_funct_2) # label(axiom). [clausify(6)].
% 0.83/1.08 74 v1_funct_1(c4) # label(rc2_funct_1) # label(axiom). [clausify(7)].
% 0.83/1.08 75 v1_funct_1(f2(A,B)) # label(rc2_partfun1) # label(axiom). [clausify(8)].
% 0.83/1.08 Derived: -m1_relset_1(c1,A,B) | -v1_partfun1(c1,A,B) | v1_funct_2(c1,A,B). [resolve(69,b,70,a)].
% 0.83/1.08 Derived: -m1_relset_1(c2,A,B) | -v1_partfun1(c2,A,B) | v1_funct_2(c2,A,B). [resolve(69,b,71,a)].
% 0.83/1.08 Derived: -m1_relset_1(c3,A,B) | -v1_partfun1(c3,A,B) | v1_funct_2(c3,A,B). [resolve(69,b,72,a)].
% 0.83/1.08 Derived: -m1_relset_1(f1(A,B),C,D) | -v1_partfun1(f1(A,B),C,D) | v1_funct_2(f1(A,B),C,D). [resolve(69,b,73,a)].
% 0.83/1.08 Derived: -m1_relset_1(c4,A,B) | -v1_partfun1(c4,A,B) | v1_funct_2(c4,A,B). [resolve(69,b,74,a)].
% 0.83/1.08 Derived: -m1_relset_1(f2(A,B),C,D) | -v1_partfun1(f2(A,B),C,D) | v1_funct_2(f2(A,B),C,D). [resolve(69,b,75,a)].
% 0.83/1.08 76 -v1_xboole_0(A) | v1_funct_1(A) # label(cc1_funct_1) # label(axiom). [clausify(25)].
% 0.83/1.08 Derived: -v1_xboole_0(A) | -m1_relset_1(A,B,C) | -v1_partfun1(A,B,C) | v1_funct_2(A,B,C). [resolve(76,b,69,b)].
% 0.83/1.08 77 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(26)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -m1_relset_1(c1,B,A) | -v1_funct_2(c1,B,A) | v1_partfun1(c1,B,A). [resolve(77,c,70,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -m1_relset_1(c2,B,A) | -v1_funct_2(c2,B,A) | v1_partfun1(c2,B,A). [resolve(77,c,71,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -m1_relset_1(c3,B,A) | -v1_funct_2(c3,B,A) | v1_partfun1(c3,B,A). [resolve(77,c,72,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -m1_relset_1(f1(B,C),D,A) | -v1_funct_2(f1(B,C),D,A) | v1_partfun1(f1(B,C),D,A). [resolve(77,c,73,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -m1_relset_1(c4,B,A) | -v1_funct_2(c4,B,A) | v1_partfun1(c4,B,A). [resolve(77,c,74,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -m1_relset_1(f2(B,C),D,A) | -v1_funct_2(f2(B,C),D,A) | v1_partfun1(f2(B,C),D,A). [resolve(77,c,75,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -m1_relset_1(B,C,A) | -v1_funct_2(B,C,A) | v1_partfun1(B,C,A) | -v1_xboole_0(B). [resolve(77,c,76,b)].
% 0.83/1.08 78 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(27)].
% 0.83/1.08 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(c1,A,B) | -v1_funct_2(c1,A,B) | -v1_xboole_0(c1). [resolve(78,d,70,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(c2,A,B) | -v1_funct_2(c2,A,B) | -v1_xboole_0(c2). [resolve(78,d,71,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(c3,A,B) | -v1_funct_2(c3,A,B) | -v1_xboole_0(c3). [resolve(78,d,72,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(f1(C,D),A,B) | -v1_funct_2(f1(C,D),A,B) | -v1_xboole_0(f1(C,D)). [resolve(78,d,73,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(c4,A,B) | -v1_funct_2(c4,A,B) | -v1_xboole_0(c4). [resolve(78,d,74,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(f2(C,D),A,B) | -v1_funct_2(f2(C,D),A,B) | -v1_xboole_0(f2(C,D)). [resolve(78,d,75,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(C,A,B) | -v1_funct_2(C,A,B) | -v1_xboole_0(C) | -v1_xboole_0(C). [resolve(78,d,76,b)].
% 0.83/1.08 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_partfun1(C,A,B) # label(cc6_funct_2) # label(axiom). [clausify(27)].
% 0.83/1.08 80 v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | -v3_struct_0(g1_group_1(A,B)) # label(fc1_group_1) # label(axiom). [clausify(28)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -v1_funct_2(c1,k2_zfmisc_1(A,A),A) | -m1_relset_1(c1,k2_zfmisc_1(A,A),A) | -v3_struct_0(g1_group_1(A,c1)). [resolve(80,b,70,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -v1_funct_2(c2,k2_zfmisc_1(A,A),A) | -m1_relset_1(c2,k2_zfmisc_1(A,A),A) | -v3_struct_0(g1_group_1(A,c2)). [resolve(80,b,71,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -v1_funct_2(c3,k2_zfmisc_1(A,A),A) | -m1_relset_1(c3,k2_zfmisc_1(A,A),A) | -v3_struct_0(g1_group_1(A,c3)). [resolve(80,b,72,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -v1_funct_2(f1(B,C),k2_zfmisc_1(A,A),A) | -m1_relset_1(f1(B,C),k2_zfmisc_1(A,A),A) | -v3_struct_0(g1_group_1(A,f1(B,C))). [resolve(80,b,73,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -v1_funct_2(c4,k2_zfmisc_1(A,A),A) | -m1_relset_1(c4,k2_zfmisc_1(A,A),A) | -v3_struct_0(g1_group_1(A,c4)). [resolve(80,b,74,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -v1_funct_2(f2(B,C),k2_zfmisc_1(A,A),A) | -m1_relset_1(f2(B,C),k2_zfmisc_1(A,A),A) | -v3_struct_0(g1_group_1(A,f2(B,C))). [resolve(80,b,75,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | -v3_struct_0(g1_group_1(A,B)) | -v1_xboole_0(B). [resolve(80,b,76,b)].
% 0.83/1.08 81 v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | v1_group_1(g1_group_1(A,B)) # label(fc1_group_1) # label(axiom). [clausify(28)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -v1_funct_2(c1,k2_zfmisc_1(A,A),A) | -m1_relset_1(c1,k2_zfmisc_1(A,A),A) | v1_group_1(g1_group_1(A,c1)). [resolve(81,b,70,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -v1_funct_2(c2,k2_zfmisc_1(A,A),A) | -m1_relset_1(c2,k2_zfmisc_1(A,A),A) | v1_group_1(g1_group_1(A,c2)). [resolve(81,b,71,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -v1_funct_2(c3,k2_zfmisc_1(A,A),A) | -m1_relset_1(c3,k2_zfmisc_1(A,A),A) | v1_group_1(g1_group_1(A,c3)). [resolve(81,b,72,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -v1_funct_2(f1(B,C),k2_zfmisc_1(A,A),A) | -m1_relset_1(f1(B,C),k2_zfmisc_1(A,A),A) | v1_group_1(g1_group_1(A,f1(B,C))). [resolve(81,b,73,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -v1_funct_2(c4,k2_zfmisc_1(A,A),A) | -m1_relset_1(c4,k2_zfmisc_1(A,A),A) | v1_group_1(g1_group_1(A,c4)). [resolve(81,b,74,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -v1_funct_2(f2(B,C),k2_zfmisc_1(A,A),A) | -m1_relset_1(f2(B,C),k2_zfmisc_1(A,A),A) | v1_group_1(g1_group_1(A,f2(B,C))). [resolve(81,b,75,a)].
% 0.83/1.08 Derived: v1_xboole_0(A) | -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)) | -v1_xboole_0(B). [resolve(81,b,76,b)].
% 0.83/1.08 82 -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(35)].
% 0.83/1.08 Derived: -v1_funct_2(c1,k2_zfmisc_1(A,A),A) | -m1_relset_1(c1,k2_zfmisc_1(A,A),A) | g1_group_1(B,C) != g1_group_1(A,c1) | B = A. [resolve(82,a,70,a)].
% 0.83/1.08 Derived: -v1_funct_2(c2,k2_zfmisc_1(A,A),A) | -m1_relset_1(c2,k2_zfmisc_1(A,A),A) | g1_group_1(B,C) != g1_group_1(A,c2) | B = A. [resolve(82,a,71,a)].
% 0.83/1.09 Derived: -v1_funct_2(c3,k2_zfmisc_1(A,A),A) | -m1_relset_1(c3,k2_zfmisc_1(A,A),A) | g1_group_1(B,C) != g1_group_1(A,c3) | B = A. [resolve(82,a,72,a)].
% 0.83/1.09 Derived: -v1_funct_2(f1(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f1(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f1(A,B)) | D = C. [resolve(82,a,73,a)].
% 0.83/1.09 Derived: -v1_funct_2(c4,k2_zfmisc_1(A,A),A) | -m1_relset_1(c4,k2_zfmisc_1(A,A),A) | g1_group_1(B,C) != g1_group_1(A,c4) | B = A. [resolve(82,a,74,a)].
% 0.83/1.09 Derived: -v1_funct_2(f2(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f2(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f2(A,B)) | D = C. [resolve(82,a,75,a)].
% 0.83/1.09 Derived: -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 | -v1_xboole_0(A). [resolve(82,a,76,b)].
% 0.83/1.09 83 -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(35)].
% 0.83/1.09 Derived: -v1_funct_2(c1,k2_zfmisc_1(A,A),A) | -m1_relset_1(c1,k2_zfmisc_1(A,A),A) | g1_group_1(B,C) != g1_group_1(A,c1) | C = c1. [resolve(83,a,70,a)].
% 0.83/1.09 Derived: -v1_funct_2(c2,k2_zfmisc_1(A,A),A) | -m1_relset_1(c2,k2_zfmisc_1(A,A),A) | g1_group_1(B,C) != g1_group_1(A,c2) | C = c2. [resolve(83,a,71,a)].
% 0.83/1.09 Derived: -v1_funct_2(c3,k2_zfmisc_1(A,A),A) | -m1_relset_1(c3,k2_zfmisc_1(A,A),A) | g1_group_1(B,C) != g1_group_1(A,c3) | C = c3. [resolve(83,a,72,a)].
% 0.83/1.09 Derived: -v1_funct_2(f1(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f1(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f1(A,B)) | E = f1(A,B). [resolve(83,a,73,a)].
% 0.83/1.09 Derived: -v1_funct_2(c4,k2_zfmisc_1(A,A),A) | -m1_relset_1(c4,k2_zfmisc_1(A,A),A) | g1_group_1(B,C) != g1_group_1(A,c4) | C = c4. [resolve(83,a,74,a)].
% 0.83/1.09 Derived: -v1_funct_2(f2(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f2(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f2(A,B)) | E = f2(A,B). [resolve(83,a,75,a)].
% 0.83/1.09 Derived: -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 | -v1_xboole_0(A). [resolve(83,a,76,b)].
% 0.83/1.09 84 -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(37)].
% 0.83/1.09 Derived: -v1_funct_2(c1,k2_zfmisc_1(A,A),A) | -m1_relset_1(c1,k2_zfmisc_1(A,A),A) | v1_group_1(g1_group_1(A,c1)). [resolve(84,a,70,a)].
% 0.83/1.09 Derived: -v1_funct_2(c2,k2_zfmisc_1(A,A),A) | -m1_relset_1(c2,k2_zfmisc_1(A,A),A) | v1_group_1(g1_group_1(A,c2)). [resolve(84,a,71,a)].
% 0.83/1.09 Derived: -v1_funct_2(c3,k2_zfmisc_1(A,A),A) | -m1_relset_1(c3,k2_zfmisc_1(A,A),A) | v1_group_1(g1_group_1(A,c3)). [resolve(84,a,72,a)].
% 0.83/1.09 Derived: -v1_funct_2(f1(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f1(A,B),k2_zfmisc_1(C,C),C) | v1_group_1(g1_group_1(C,f1(A,B))). [resolve(84,a,73,a)].
% 0.83/1.09 Derived: -v1_funct_2(c4,k2_zfmisc_1(A,A),A) | -m1_relset_1(c4,k2_zfmisc_1(A,A),A) | v1_group_1(g1_group_1(A,c4)). [resolve(84,a,74,a)].
% 0.83/1.09 Derived: -v1_funct_2(f2(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f2(A,B),k2_zfmisc_1(C,C),C) | v1_group_1(g1_group_1(C,f2(A,B))). [resolve(84,a,75,a)].
% 0.83/1.09 Derived: -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)) | -v1_xboole_0(A). [resolve(84,a,76,b)].
% 0.83/1.09 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) | l1_group_1(g1_group_1(B,A)) # label(dt_g1_group_1) # label(axiom). [clausify(37)].
% 0.83/1.09 Derived: -v1_funct_2(c1,k2_zfmisc_1(A,A),A) | -m1_relset_1(c1,k2_zfmisc_1(A,A),A) | l1_group_1(g1_group_1(A,c1)). [resolve(85,a,70,a)].
% 0.83/1.09 Derived: -v1_funct_2(c2,k2_zfmisc_1(A,A),A) | -m1_relset_1(c2,k2_zfmisc_1(A,A),A) | l1_group_1(g1_group_1(A,c2)). [resolve(85,a,71,a)].
% 0.83/1.09 Derived: -v1_funct_2(c3,k2_zfmisc_1(A,A),A) | -m1_relset_1(c3,k2_zfmisc_1(A,A),A) | l1_group_1(g1_group_1(A,c3)). [resolve(85,a,72,a)].
% 0.83/1.09 Derived: -v1_funct_2(f1(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f1(A,B),k2_zfmisc_1(C,C),C) | l1_group_1(g1_group_1(C,f1(A,B))). [resolve(85,a,73,a)].
% 0.83/1.09 Derived: -v1_funct_2(c4,k2_zfmisc_1(A,A),A) | -m1_relset_1(c4,k2_zfmisc_1(A,A),A) | l1_group_1(g1_group_1(A,c4)). [resolve(85,a,74,a)].
% 0.83/1.09 Derived: -v1_funct_2(f2(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f2(A,B),k2_zfmisc_1(C,C),C) | l1_group_1(g1_group_1(C,f2(A,B))). [resolve(85,a,75,a)].
% 0.83/1.09 Derived: -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)) | -v1_xboole_0(A). [resolve(85,a,76,b)].
% 0.83/1.09 86 -l1_group_1(A) | v1_funct_1(u1_group_1(A)) # label(dt_u1_group_1) # label(axiom). [clausify(39)].
% 0.83/1.09 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(86,b,69,b)].
% 0.83/1.09 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(86,b,77,c)].
% 0.83/1.09 Derived: -l1_group_1(A) | v1_xboole_0(B) | -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) | -v3_struct_0(g1_group_1(B,u1_group_1(A))). [resolve(86,b,80,b)].
% 0.83/1.09 Derived: -l1_group_1(A) | v1_xboole_0(B) | -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(86,b,81,b)].
% 0.83/1.09 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) | g1_group_1(C,D) != g1_group_1(B,u1_group_1(A)) | C = B. [resolve(86,b,82,a)].
% 0.83/1.09 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) | g1_group_1(C,D) != g1_group_1(B,u1_group_1(A)) | D = u1_group_1(A). [resolve(86,b,83,a)].
% 0.83/1.09 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(86,b,84,a)].
% 0.83/1.09 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(86,b,85,a)].
% 0.83/1.09 87 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(16)].
% 0.83/1.09 88 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(3)].
% 0.83/1.09 89 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(16)].
% 0.83/1.09 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(87,b,88,a)].
% 0.83/1.09 90 l1_struct_0(c7) # label(existence_l1_struct_0) # label(axiom). [clausify(36)].
% 0.83/1.09 91 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f3(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(14)].
% 0.83/1.09 92 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f3(A)) # label(rc5_struct_0) # label(axiom). [clausify(14)].
% 0.83/1.09 Derived: v3_struct_0(c7) | m1_subset_1(f3(c7),k1_zfmisc_1(u1_struct_0(c7))). [resolve(90,a,91,b)].
% 0.83/1.09 Derived: v3_struct_0(c7) | -v1_xboole_0(f3(c7)). [resolve(90,a,92,b)].
% 0.83/1.09 93 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(40)].
% 0.83/1.09 Derived: v3_struct_0(c7) | -v1_xboole_0(u1_struct_0(c7)). [resolve(93,b,90,a)].
% 0.83/1.09 94 l1_struct_0(c9) # label(rc3_struct_0) # label(axiom). [clausify(44)].
% 0.83/1.09 Derived: v3_struct_0(c9) | m1_subset_1(f3(c9),k1_zfmisc_1(u1_struct_0(c9))). [resolve(94,a,91,b)].
% 0.83/1.09 Derived: v3_struct_0(c9) | -v1_xboole_0(f3(c9)). [resolve(94,a,92,b)].
% 0.83/1.09 Derived: v3_struct_0(c9) | -v1_xboole_0(u1_struct_0(c9)). [resolve(94,a,93,b)].
% 0.83/1.09 95 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(50)].
% 0.83/1.09 Derived: -l1_group_1(A) | v3_struct_0(A) | m1_subset_1(f3(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(95,b,91,b)].
% 0.83/1.09 Derived: -l1_group_1(A) | v3_struct_0(A) | -v1_xboole_0(f3(A)). [resolve(95,b,92,b)].
% 0.83/1.09 Derived: -l1_group_1(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)). [resolve(95,b,93,b)].
% 0.83/1.09 96 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(21)].
% 0.83/1.09 97 m2_relset_1(f5(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(20)].
% 0.83/1.09 Derived: m1_relset_1(f5(A,B),A,B). [resolve(96,a,97,a)].
% 0.83/1.09 98 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(21)].
% 0.83/1.10 99 -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(24)].
% 0.83/1.10 Derived: m1_subset_1(f5(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(99,a,97,a)].
% 0.83/1.10 Derived: m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | -m1_relset_1(A,B,C). [resolve(99,a,98,a)].
% 0.83/1.10 100 -l1_group_1(A) | m2_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u1_group_1) # label(axiom). [clausify(39)].
% 0.83/1.10 Derived: -l1_group_1(A) | m1_relset_1(u1_group_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)). [resolve(100,b,96,a)].
% 0.83/1.10 Derived: -l1_group_1(A) | m1_subset_1(u1_group_1(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))). [resolve(100,b,99,a)].
% 0.83/1.10 101 v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -v3_struct_0(B) # label(dt_m1_group_2) # label(axiom). [clausify(51)].
% 0.83/1.10 102 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_group_2(f6(A),A) # label(rc1_group_2) # label(axiom). [clausify(41)].
% 0.83/1.10 103 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_group_2(f7(A),A) # label(rc1_group_3) # label(axiom). [clausify(42)].
% 0.83/1.10 104 v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | m1_group_2(f8(A),A) # label(existence_m1_group_2) # label(axiom). [clausify(47)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | -v3_struct_0(f6(A)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(101,d,102,e)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | -v3_struct_0(f7(A)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(101,d,103,e)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | -v3_struct_0(f8(A)) | v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A). [resolve(101,d,104,d)].
% 0.83/1.10 105 v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | v3_group_1(B) # label(dt_m1_group_2) # label(axiom). [clausify(51)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | v3_group_1(f6(A)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(105,d,102,e)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | v3_group_1(f7(A)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(105,d,103,e)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | v3_group_1(f8(A)) | v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A). [resolve(105,d,104,d)].
% 0.83/1.10 106 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(51)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | l1_group_1(f6(A)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(106,d,102,e)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | l1_group_1(f7(A)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(106,d,103,e)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A) | l1_group_1(f8(A)) | v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A). [resolve(106,d,104,d)].
% 0.83/1.10 107 v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | v4_group_1(B) # label(cc1_group_2) # label(axiom). [clausify(55)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v4_group_1(f6(A)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(107,e,102,e)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v4_group_1(f7(A)) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(107,e,103,e)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | v4_group_1(f8(A)) | v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A). [resolve(107,e,104,d)].
% 0.83/1.10 108 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | m1_subset_1(f10(A,B),u1_struct_0(A)) | v1_group_3(B,A) # label(l1_autgroup) # label(axiom). [clausify(58)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_subset_1(f10(A,f6(A)),u1_struct_0(A)) | v1_group_3(f6(A),A) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(108,f,102,e)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_subset_1(f10(A,f7(A)),u1_struct_0(A)) | v1_group_3(f7(A),A) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(108,f,103,e)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_subset_1(f10(A,f8(A)),u1_struct_0(A)) | v1_group_3(f8(A),A) | v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A). [resolve(108,f,104,d)].
% 0.83/1.10 109 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | m1_subset_1(f11(A,B),u1_struct_0(A)) | v1_group_3(B,A) # label(l1_autgroup) # label(axiom). [clausify(58)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_subset_1(f11(A,f6(A)),u1_struct_0(A)) | v1_group_3(f6(A),A) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(109,f,102,e)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_subset_1(f11(A,f7(A)),u1_struct_0(A)) | v1_group_3(f7(A),A) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(109,f,103,e)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_subset_1(f11(A,f8(A)),u1_struct_0(A)) | v1_group_3(f8(A),A) | v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A). [resolve(109,f,104,d)].
% 0.83/1.10 110 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | m1_subset_1(f11(A,B),u1_struct_0(B)) | v1_group_3(B,A) # label(l1_autgroup) # label(axiom). [clausify(58)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_subset_1(f11(A,f6(A)),u1_struct_0(f6(A))) | v1_group_3(f6(A),A) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(110,f,102,e)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_subset_1(f11(A,f7(A)),u1_struct_0(f7(A))) | v1_group_3(f7(A),A) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(110,f,103,e)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | m1_subset_1(f11(A,f8(A)),u1_struct_0(f8(A))) | v1_group_3(f8(A),A) | v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A). [resolve(110,f,104,d)].
% 0.83/1.10 111 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -r1_rlvect_1(B,k2_group_3(A,f11(A,B),f10(A,B))) | v1_group_3(B,A) # label(l1_autgroup) # label(axiom). [clausify(58)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -r1_rlvect_1(f6(A),k2_group_3(A,f11(A,f6(A)),f10(A,f6(A)))) | v1_group_3(f6(A),A) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(111,f,102,e)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -r1_rlvect_1(f7(A),k2_group_3(A,f11(A,f7(A)),f10(A,f7(A)))) | v1_group_3(f7(A),A) | v3_struct_0(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A). [resolve(111,f,103,e)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -r1_rlvect_1(f8(A),k2_group_3(A,f11(A,f8(A)),f10(A,f8(A)))) | v1_group_3(f8(A),A) | v3_struct_0(A) | -v3_group_1(A) | -l1_group_1(A). [resolve(111,f,104,d)].
% 0.83/1.10 112 v3_struct_0(A) | -v1_group_1(A) | -v3_group_1(A) | -v4_group_1(A) | -l1_group_1(A) | -m1_group_2(B,A) | -v1_group_3(B,A) | -m1_subset_1(C,u1_struct_0(A)) | -m1_subset_1(D,u1_struct_0(A)) | -m1_subset_1(D,u1_struct_0(B)) | r1_rlvect_1(B,k2_group_3(A,D,C)) # label(l2_autgroup) # label(axiom). [clausify(59)].
% 0.83/1.10 Derived: v3_struct_0(A) | -v1_group_1(A) |Cputime limit exceeded (core dumped)
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