TSTP Solution File: GRP644+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : GRP644+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n006.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 11:20:10 EDT 2022
% Result : Theorem 0.75s 1.11s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP644+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n006.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 06:51:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.75/1.02 ============================== Prover9 ===============================
% 0.75/1.02 Prover9 (32) version 2009-11A, November 2009.
% 0.75/1.02 Process 1458 was started by sandbox2 on n006.cluster.edu,
% 0.75/1.02 Mon Jun 13 06:51:57 2022
% 0.75/1.02 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_1304_n006.cluster.edu".
% 0.75/1.02 ============================== end of head ===========================
% 0.75/1.02
% 0.75/1.02 ============================== INPUT =================================
% 0.75/1.02
% 0.75/1.02 % Reading from file /tmp/Prover9_1304_n006.cluster.edu
% 0.75/1.02
% 0.75/1.02 set(prolog_style_variables).
% 0.75/1.02 set(auto2).
% 0.75/1.02 % set(auto2) -> set(auto).
% 0.75/1.02 % set(auto) -> set(auto_inference).
% 0.75/1.02 % set(auto) -> set(auto_setup).
% 0.75/1.02 % set(auto_setup) -> set(predicate_elim).
% 0.75/1.02 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.75/1.02 % set(auto) -> set(auto_limits).
% 0.75/1.02 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.75/1.02 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.75/1.02 % set(auto) -> set(auto_denials).
% 0.75/1.02 % set(auto) -> set(auto_process).
% 0.75/1.02 % set(auto2) -> assign(new_constants, 1).
% 0.75/1.02 % set(auto2) -> assign(fold_denial_max, 3).
% 0.75/1.02 % set(auto2) -> assign(max_weight, "200.000").
% 0.75/1.02 % set(auto2) -> assign(max_hours, 1).
% 0.75/1.02 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.75/1.02 % set(auto2) -> assign(max_seconds, 0).
% 0.75/1.02 % set(auto2) -> assign(max_minutes, 5).
% 0.75/1.02 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.75/1.02 % set(auto2) -> set(sort_initial_sos).
% 0.75/1.02 % set(auto2) -> assign(sos_limit, -1).
% 0.75/1.02 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.75/1.02 % set(auto2) -> assign(max_megs, 400).
% 0.75/1.02 % set(auto2) -> assign(stats, some).
% 0.75/1.02 % set(auto2) -> clear(echo_input).
% 0.75/1.02 % set(auto2) -> set(quiet).
% 0.75/1.02 % set(auto2) -> clear(print_initial_clauses).
% 0.75/1.02 % set(auto2) -> clear(print_given).
% 0.75/1.02 assign(lrs_ticks,-1).
% 0.75/1.02 assign(sos_limit,10000).
% 0.75/1.02 assign(order,kbo).
% 0.75/1.02 set(lex_order_vars).
% 0.75/1.02 clear(print_given).
% 0.75/1.02
% 0.75/1.02 % formulas(sos). % not echoed (55 formulas)
% 0.75/1.02
% 0.75/1.02 ============================== end of input ==========================
% 0.75/1.02
% 0.75/1.02 % From the command line: assign(max_seconds, 300).
% 0.75/1.02
% 0.75/1.02 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.75/1.02
% 0.75/1.02 % Formulas that are not ordinary clauses:
% 0.75/1.02 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].
% 0.75/1.02 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 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].
% 0.75/1.02 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].
% 0.75/1.02 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].
% 0.75/1.02 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].
% 0.75/1.02 7 (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].
% 0.75/1.02 8 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 9 $T # label(dt_k1_group_3) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 10 (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].
% 0.75/1.02 11 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 12 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 13 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 14 (all A all B (-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(k3_group_1(A,B),u1_struct_0(A)))) # label(dt_k3_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 15 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 16 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 17 (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].
% 0.75/1.02 18 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 19 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 20 (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].
% 0.75/1.02 21 (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].
% 0.75/1.02 22 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 23 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 24 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 25 (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].
% 0.75/1.02 26 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 27 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 28 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 29 (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].
% 0.75/1.02 30 (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].
% 0.75/1.02 31 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 32 (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].
% 0.75/1.02 33 (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].
% 0.75/1.02 34 (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].
% 0.75/1.02 35 (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].
% 0.75/1.02 36 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 37 (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].
% 0.75/1.02 38 (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].
% 0.75/1.02 39 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 40 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 41 (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].
% 0.75/1.03 42 (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].
% 0.75/1.03 43 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 44 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,k1_funct_1(k1_latsubgr(A),B)) <-> r1_rlvect_1(B,C)))))))) # label(t18_latsubgr) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 45 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 46 (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].
% 0.75/1.03 47 (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].
% 0.75/1.03 48 (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].
% 0.75/1.03 49 (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].
% 0.75/1.03 50 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (r1_rlvect_1(C,B) -> r1_rlvect_1(C,k3_group_1(A,B))))))))) # label(t60_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 51 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 52 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 53 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.03 54 -(all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,k1_funct_1(k1_latsubgr(A),B)) -> r2_hidden(k3_group_1(A,C),k1_funct_1(k1_latsubgr(A),B))))))))) # label(t22_latsubgr) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.75/1.03
% 0.75/1.03 ============================== end of process non-clausal formulas ===
% 0.75/1.03
% 0.75/1.03 ============================== PROCESS INITIAL CLAUSES ===============
% 0.75/1.03
% 0.75/1.03 ============================== PREDICATE ELIMINATION =================
% 0.75/1.03 55 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(30)].
% 0.75/1.03 56 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(24)].
% 0.75/1.03 57 l1_struct_0(c5) # label(rc3_struct_0) # label(axiom). [clausify(40)].
% 0.75/1.03 58 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(15)].
% 0.75/1.03 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(55,b,56,a)].
% 0.75/1.03 Derived: v3_struct_0(c5) | -v1_xboole_0(u1_struct_0(c5)). [resolve(55,b,57,a)].
% 0.75/1.03 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_group_1(A). [resolve(55,b,58,b)].
% 0.75/1.03 59 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f9(A)) # label(rc5_struct_0) # label(axiom). [clausify(41)].
% 0.75/1.03 Derived: v3_struct_0(c2) | -v1_xboole_0(f9(c2)). [resolve(59,b,56,a)].
% 0.75/1.03 Derived: v3_struct_0(c5) | -v1_xboole_0(f9(c5)). [resolve(59,b,57,a)].
% 0.75/1.03 Derived: v3_struct_0(A) | -v1_xboole_0(f9(A)) | -l1_group_1(A). [resolve(59,b,58,b)].
% 0.75/1.03 60 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f9(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(41)].
% 0.75/1.03 Derived: v3_struct_0(c2) | m1_subset_1(f9(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(60,b,56,a)].
% 0.75/1.03 Derived: v3_struct_0(c5) | m1_subset_1(f9(c5),k1_zfmisc_1(u1_struct_0(c5))). [resolve(60,b,57,a)].
% 0.75/1.03 Derived: v3_struct_0(A) | m1_subset_1(f9(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_group_1(A). [resolve(60,b,58,b)].
% 0.75/1.03 61 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(10)].
% 0.75/1.03 62 v4_group_1(c6) # label(t22_latsubgr) # label(negated_conjecture). [clausify(54)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | v1_funct_1(k1_latsubgr(c6)). [resolve(61,c,62,a)].
% 0.75/1.03 63 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(29)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_xboole_0(k1_group_3(c6)). [resolve(63,c,62,a)].
% 0.75/1.03 64 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(10)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | v1_funct_2(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))). [resolve(64,c,62,a)].
% 0.75/1.03 65 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(10)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | m2_relset_1(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))). [resolve(65,c,62,a)].
% 0.75/1.03 66 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(k3_group_1(A,B),u1_struct_0(A)) # label(dt_k3_group_1) # label(axiom). [clausify(14)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_subset_1(A,u1_struct_0(c6)) | m1_subset_1(k3_group_1(c6,A),u1_struct_0(c6)). [resolve(66,c,62,a)].
% 0.75/1.03 67 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_group_2(C,A) | -r1_rlvect_1(C,B) | r1_rlvect_1(C,k3_group_1(A,B)) # label(t60_group_2) # label(axiom). [clausify(50)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_subset_1(A,u1_struct_0(c6)) | -m1_group_2(B,c6) | -r1_rlvect_1(B,A) | r1_rlvect_1(B,k3_group_1(c6,A)). [resolve(67,c,62,a)].
% 0.75/1.03 68 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) | -m1_subset_1(C,u1_struct_0(A)) | -r2_hidden(C,k1_funct_1(k1_latsubgr(A),B)) | r1_rlvect_1(B,C) # label(t18_latsubgr) # label(axiom). [clausify(44)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_group_1(A) | -m1_group_2(A,c6) | -m1_subset_1(B,u1_struct_0(c6)) | -r2_hidden(B,k1_funct_1(k1_latsubgr(c6),A)) | r1_rlvect_1(A,B). [resolve(68,c,62,a)].
% 0.75/1.03 69 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) | -m1_subset_1(C,u1_struct_0(A)) | r2_hidden(C,k1_funct_1(k1_latsubgr(A),B)) | -r1_rlvect_1(B,C) # label(t18_latsubgr) # label(axiom). [clausify(44)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_group_1(A) | -m1_group_2(A,c6) | -m1_subset_1(B,u1_struct_0(c6)) | r2_hidden(B,k1_funct_1(k1_latsubgr(c6),A)) | -r1_rlvect_1(A,B). [resolve(69,c,62,a)].
% 0.75/1.03 70 -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)].
% 0.75/1.03 71 v1_group_1(c7) # label(t22_latsubgr) # label(negated_conjecture). [clausify(54)].
% 0.75/1.03 Derived: -l1_group_1(c7) | g1_group_1(u1_struct_0(c7),u1_group_1(c7)) = c7. [resolve(70,b,71,a)].
% 0.75/1.03 72 -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(7)].
% 0.75/1.03 Derived: -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)) | g1_group_1(u1_struct_0(g1_group_1(B,A)),u1_group_1(g1_group_1(B,A))) = g1_group_1(B,A). [resolve(72,d,70,b)].
% 0.75/1.03 73 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_group_1(A) | -m1_group_2(A,c6) | -m1_subset_1(B,u1_struct_0(c6)) | -r2_hidden(B,k1_funct_1(k1_latsubgr(c6),A)) | r1_rlvect_1(A,B). [resolve(68,c,62,a)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(c7,c6) | -m1_subset_1(A,u1_struct_0(c6)) | -r2_hidden(A,k1_funct_1(k1_latsubgr(c6),c7)) | r1_rlvect_1(c7,A). [resolve(73,d,71,a)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(g1_group_1(A,B),c6) | -m1_subset_1(C,u1_struct_0(c6)) | -r2_hidden(C,k1_funct_1(k1_latsubgr(c6),g1_group_1(A,B))) | r1_rlvect_1(g1_group_1(A,B),C) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(73,d,72,d)].
% 0.75/1.03 74 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_group_1(A) | -m1_group_2(A,c6) | -m1_subset_1(B,u1_struct_0(c6)) | r2_hidden(B,k1_funct_1(k1_latsubgr(c6),A)) | -r1_rlvect_1(A,B). [resolve(69,c,62,a)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(c7,c6) | -m1_subset_1(A,u1_struct_0(c6)) | r2_hidden(A,k1_funct_1(k1_latsubgr(c6),c7)) | -r1_rlvect_1(c7,A). [resolve(74,d,71,a)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(g1_group_1(A,B),c6) | -m1_subset_1(C,u1_struct_0(c6)) | r2_hidden(C,k1_funct_1(k1_latsubgr(c6),g1_group_1(A,B))) | -r1_rlvect_1(g1_group_1(A,B),C) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(74,d,72,d)].
% 0.75/1.03 75 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(47)].
% 0.75/1.03 76 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(43)].
% 0.75/1.03 77 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(47)].
% 0.75/1.03 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(75,b,76,a)].
% 0.75/1.03 78 -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)].
% 0.75/1.03 79 v1_funct_1(f5(A,B)) # label(rc1_funct_2) # label(axiom). [clausify(34)].
% 0.75/1.03 80 v1_funct_1(f7(A,B)) # label(rc2_partfun1) # label(axiom). [clausify(37)].
% 0.75/1.03 81 -l1_group_1(A) | v1_funct_1(u1_group_1(A)) # label(dt_u1_group_1) # label(axiom). [clausify(21)].
% 0.75/1.03 Derived: -m1_relset_1(f5(A,B),C,D) | -v1_partfun1(f5(A,B),C,D) | v1_funct_2(f5(A,B),C,D). [resolve(78,b,79,a)].
% 0.75/1.03 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(78,b,80,a)].
% 0.75/1.03 Derived: -m1_relset_1(u1_group_1(A),B,C) | -v1_partfun1(u1_group_1(A),B,C) | v1_funct_2(u1_group_1(A),B,C) | -l1_group_1(A). [resolve(78,b,81,b)].
% 0.75/1.03 82 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)].
% 0.75/1.03 Derived: v1_xboole_0(A) | -m1_relset_1(f5(B,C),D,A) | -v1_funct_2(f5(B,C),D,A) | v1_partfun1(f5(B,C),D,A). [resolve(82,c,79,a)].
% 0.75/1.03 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(82,c,80,a)].
% 0.75/1.03 Derived: v1_xboole_0(A) | -m1_relset_1(u1_group_1(B),C,A) | -v1_funct_2(u1_group_1(B),C,A) | v1_partfun1(u1_group_1(B),C,A) | -l1_group_1(B). [resolve(82,c,81,b)].
% 0.75/1.03 83 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)].
% 0.75/1.03 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(f5(C,D),A,B) | -v1_funct_2(f5(C,D),A,B) | -v1_xboole_0(f5(C,D)). [resolve(83,d,79,a)].
% 0.75/1.03 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(83,d,80,a)].
% 0.75/1.03 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(u1_group_1(C),A,B) | -v1_funct_2(u1_group_1(C),A,B) | -v1_xboole_0(u1_group_1(C)) | -l1_group_1(C). [resolve(83,d,81,b)].
% 0.75/1.03 84 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)].
% 0.75/1.03 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(7)].
% 0.75/1.03 Derived: -v1_funct_2(f5(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f5(A,B),k2_zfmisc_1(C,C),C) | l1_group_1(g1_group_1(C,f5(A,B))). [resolve(85,a,79,a)].
% 0.75/1.03 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(85,a,80,a)].
% 0.75/1.03 Derived: -v1_funct_2(u1_group_1(A),k2_zfmisc_1(B,B),B) | -m1_relset_1(u1_group_1(A),k2_zfmisc_1(B,B),B) | l1_group_1(g1_group_1(B,u1_group_1(A))) | -l1_group_1(A). [resolve(85,a,81,b)].
% 0.75/1.03 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) | g1_group_1(C,D) != g1_group_1(B,A) | C = B # label(free_g1_group_1) # label(axiom). [clausify(33)].
% 0.75/1.03 Derived: -v1_funct_2(f5(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f5(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f5(A,B)) | D = C. [resolve(86,a,79,a)].
% 0.75/1.03 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(86,a,80,a)].
% 0.75/1.03 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(86,a,81,b)].
% 0.75/1.03 87 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | g1_group_1(C,D) != g1_group_1(B,A) | D = A # label(free_g1_group_1) # label(axiom). [clausify(33)].
% 0.75/1.03 Derived: -v1_funct_2(f5(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f5(A,B),k2_zfmisc_1(C,C),C) | g1_group_1(D,E) != g1_group_1(C,f5(A,B)) | E = f5(A,B). [resolve(87,a,79,a)].
% 0.75/1.03 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(87,a,80,a)].
% 0.75/1.03 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(87,a,81,b)].
% 0.75/1.03 88 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | v1_funct_1(k1_latsubgr(c6)). [resolve(61,c,62,a)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_relset_1(k1_latsubgr(c6),A,B) | -v1_partfun1(k1_latsubgr(c6),A,B) | v1_funct_2(k1_latsubgr(c6),A,B). [resolve(88,d,78,b)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | v1_xboole_0(A) | -m1_relset_1(k1_latsubgr(c6),B,A) | -v1_funct_2(k1_latsubgr(c6),B,A) | v1_partfun1(k1_latsubgr(c6),B,A). [resolve(88,d,82,c)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(k1_latsubgr(c6),A,B) | -v1_funct_2(k1_latsubgr(c6),A,B) | -v1_xboole_0(k1_latsubgr(c6)). [resolve(88,d,83,d)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | -m1_relset_1(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | l1_group_1(g1_group_1(A,k1_latsubgr(c6))). [resolve(88,d,85,a)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | -m1_relset_1(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | g1_group_1(B,C) != g1_group_1(A,k1_latsubgr(c6)) | B = A. [resolve(88,d,86,a)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_funct_2(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | -m1_relset_1(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | g1_group_1(B,C) != g1_group_1(A,k1_latsubgr(c6)) | C = k1_latsubgr(c6). [resolve(88,d,87,a)].
% 0.75/1.03 89 -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)) | g1_group_1(u1_struct_0(g1_group_1(B,A)),u1_group_1(g1_group_1(B,A))) = g1_group_1(B,A). [resolve(72,d,70,b)].
% 0.75/1.03 Derived: -v1_funct_2(f5(A,B),k2_zfmisc_1(C,C),C) | -m1_relset_1(f5(A,B),k2_zfmisc_1(C,C),C) | -l1_group_1(g1_group_1(C,f5(A,B))) | g1_group_1(u1_struct_0(g1_group_1(C,f5(A,B))),u1_group_1(g1_group_1(C,f5(A,B)))) = g1_group_1(C,f5(A,B)). [resolve(89,a,79,a)].
% 0.75/1.03 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))) | g1_group_1(u1_struct_0(g1_group_1(C,f7(A,B))),u1_group_1(g1_group_1(C,f7(A,B)))) = g1_group_1(C,f7(A,B)). [resolve(89,a,80,a)].
% 0.75/1.03 Derived: -v1_funct_2(u1_group_1(A),k2_zfmisc_1(B,B),B) | -m1_relset_1(u1_group_1(A),k2_zfmisc_1(B,B),B) | -l1_group_1(g1_group_1(B,u1_group_1(A))) | g1_group_1(u1_struct_0(g1_group_1(B,u1_group_1(A))),u1_group_1(g1_group_1(B,u1_group_1(A)))) = g1_group_1(B,u1_group_1(A)) | -l1_group_1(A). [resolve(89,a,81,b)].
% 0.75/1.03 Derived: -v1_funct_2(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | -m1_relset_1(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | -l1_group_1(g1_group_1(A,k1_latsubgr(c6))) | g1_group_1(u1_struct_0(g1_group_1(A,k1_latsubgr(c6))),u1_group_1(g1_group_1(A,k1_latsubgr(c6)))) = g1_group_1(A,k1_latsubgr(c6)) | v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6). [resolve(89,a,88,d)].
% 0.75/1.03 90 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(g1_group_1(A,B),c6) | -m1_subset_1(C,u1_struct_0(c6)) | -r2_hidden(C,k1_funct_1(k1_latsubgr(c6),g1_group_1(A,B))) | r1_rlvect_1(g1_group_1(A,B),C) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(73,d,72,d)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(g1_group_1(A,f5(B,C)),c6) | -m1_subset_1(D,u1_struct_0(c6)) | -r2_hidden(D,k1_funct_1(k1_latsubgr(c6),g1_group_1(A,f5(B,C)))) | r1_rlvect_1(g1_group_1(A,f5(B,C)),D) | -v1_funct_2(f5(B,C),k2_zfmisc_1(A,A),A) | -m1_relset_1(f5(B,C),k2_zfmisc_1(A,A),A). [resolve(90,h,79,a)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(g1_group_1(A,f7(B,C)),c6) | -m1_subset_1(D,u1_struct_0(c6)) | -r2_hidden(D,k1_funct_1(k1_latsubgr(c6),g1_group_1(A,f7(B,C)))) | r1_rlvect_1(g1_group_1(A,f7(B,C)),D) | -v1_funct_2(f7(B,C),k2_zfmisc_1(A,A),A) | -m1_relset_1(f7(B,C),k2_zfmisc_1(A,A),A). [resolve(90,h,80,a)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(g1_group_1(A,u1_group_1(B)),c6) | -m1_subset_1(C,u1_struct_0(c6)) | -r2_hidden(C,k1_funct_1(k1_latsubgr(c6),g1_group_1(A,u1_group_1(B)))) | r1_rlvect_1(g1_group_1(A,u1_group_1(B)),C) | -v1_funct_2(u1_group_1(B),k2_zfmisc_1(A,A),A) | -m1_relset_1(u1_group_1(B),k2_zfmisc_1(A,A),A) | -l1_group_1(B). [resolve(90,h,81,b)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(g1_group_1(A,k1_latsubgr(c6)),c6) | -m1_subset_1(B,u1_struct_0(c6)) | -r2_hidden(B,k1_funct_1(k1_latsubgr(c6),g1_group_1(A,k1_latsubgr(c6)))) | r1_rlvect_1(g1_group_1(A,k1_latsubgr(c6)),B) | -v1_funct_2(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | -m1_relset_1(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6). [resolve(90,h,88,d)].
% 0.75/1.03 91 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(g1_group_1(A,B),c6) | -m1_subset_1(C,u1_struct_0(c6)) | r2_hidden(C,k1_funct_1(k1_latsubgr(c6),g1_group_1(A,B))) | -r1_rlvect_1(g1_group_1(A,B),C) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A). [resolve(74,d,72,d)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(g1_group_1(A,f5(B,C)),c6) | -m1_subset_1(D,u1_struct_0(c6)) | r2_hidden(D,k1_funct_1(k1_latsubgr(c6),g1_group_1(A,f5(B,C)))) | -r1_rlvect_1(g1_group_1(A,f5(B,C)),D) | -v1_funct_2(f5(B,C),k2_zfmisc_1(A,A),A) | -m1_relset_1(f5(B,C),k2_zfmisc_1(A,A),A). [resolve(91,h,79,a)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(g1_group_1(A,f7(B,C)),c6) | -m1_subset_1(D,u1_struct_0(c6)) | r2_hidden(D,k1_funct_1(k1_latsubgr(c6),g1_group_1(A,f7(B,C)))) | -r1_rlvect_1(g1_group_1(A,f7(B,C)),D) | -v1_funct_2(f7(B,C),k2_zfmisc_1(A,A),A) | -m1_relset_1(f7(B,C),k2_zfmisc_1(A,A),A). [resolve(91,h,80,a)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(g1_group_1(A,u1_group_1(B)),c6) | -m1_subset_1(C,u1_struct_0(c6)) | r2_hidden(C,k1_funct_1(k1_latsubgr(c6),g1_group_1(A,u1_group_1(B)))) | -r1_rlvect_1(g1_group_1(A,u1_group_1(B)),C) | -v1_funct_2(u1_group_1(B),k2_zfmisc_1(A,A),A) | -m1_relset_1(u1_group_1(B),k2_zfmisc_1(A,A),A) | -l1_group_1(B). [resolve(91,h,81,b)].
% 0.75/1.03 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(g1_group_1(A,k1_latsubgr(c6)),c6) | -m1_subset_1(B,u1_struct_0(c6)) | r2_hidden(B,k1_funct_1(k1_latsubgr(c6),g1_group_1(A,k1_latsubgr(c6)))) | -r1_rlvect_1(g1_group_1(A,k1_latsubgr(c6)),B) | -v1_funct_2(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | -m1_relset_1(k1_latsubgr(c6),k2_zfmisc_1(A,A),A) | v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6). [resolve(91,h,88,d)].
% 0.75/1.11 92 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(42)].
% 0.75/1.11 93 m2_relset_1(f4(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(28)].
% 0.75/1.11 Derived: m1_relset_1(f4(A,B),A,B). [resolve(92,a,93,a)].
% 0.75/1.11 94 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(42)].
% 0.75/1.11 95 -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(20)].
% 0.75/1.11 Derived: m1_subset_1(f4(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(95,a,93,a)].
% 0.75/1.11 Derived: m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | -m1_relset_1(A,B,C). [resolve(95,a,94,a)].
% 0.75/1.11 96 -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(21)].
% 0.75/1.11 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(96,b,92,a)].
% 0.75/1.11 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(96,b,95,a)].
% 0.75/1.11 97 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | m2_relset_1(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))). [resolve(65,c,62,a)].
% 0.75/1.11 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | m1_relset_1(k1_latsubgr(c6),k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))). [resolve(97,d,92,a)].
% 0.75/1.11 Derived: v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | m1_subset_1(k1_latsubgr(c6),k1_zfmisc_1(k2_zfmisc_1(k1_group_3(c6),k1_zfmisc_1(u1_struct_0(c6))))). [resolve(97,d,95,a)].
% 0.75/1.11
% 0.75/1.11 ============================== end predicate elimination =============
% 0.75/1.11
% 0.75/1.11 Auto_denials: (non-Horn, no changes).
% 0.75/1.11
% 0.75/1.11 Term ordering decisions:
% 0.75/1.11 Function symbol KB weights: k1_xboole_0=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. g1_group_1=1. k2_zfmisc_1=1. k1_funct_1=1. k3_group_1=1. f2=1. f4=1. f5=1. f7=1. k1_latsubgr=1. u1_group_1=1. u1_struct_0=1. k1_zfmisc_1=1. k1_group_3=1. f1=1. f3=1. f6=1. f8=1. f9=1.
% 0.75/1.11
% 0.75/1.11 ============================== end of process initial clauses ========
% 0.75/1.11
% 0.75/1.11 ============================== CLAUSES FOR SEARCH ====================
% 0.75/1.11
% 0.75/1.11 ============================== end of clauses for search =============
% 0.75/1.11
% 0.75/1.11 ============================== SEARCH ================================
% 0.75/1.11
% 0.75/1.11 % Starting search at 0.03 seconds.
% 0.75/1.11
% 0.75/1.11 ============================== PROOF =================================
% 0.75/1.11 % SZS status Theorem
% 0.75/1.11 % SZS output start Refutation
% 0.75/1.11
% 0.75/1.11 % Proof 1 at 0.10 (+ 0.01) seconds.
% 0.75/1.11 % Length of proof is 31.
% 0.75/1.11 % Level of proof is 7.
% 0.75/1.11 % Maximum clause weight is 15.000.
% 0.75/1.11 % Given clauses 136.
% 0.75/1.11
% 0.75/1.11 14 (all A all B (-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(k3_group_1(A,B),u1_struct_0(A)))) # label(dt_k3_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.11 44 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,k1_funct_1(k1_latsubgr(A),B)) <-> r1_rlvect_1(B,C)))))))) # label(t18_latsubgr) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.11 50 (all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_group_2(C,A) -> (r1_rlvect_1(C,B) -> r1_rlvect_1(C,k3_group_1(A,B))))))))) # label(t60_group_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.11 54 -(all A (-v3_struct_0(A) & v3_group_1(A) & v4_group_1(A) & l1_group_1(A) -> (all B (v1_group_1(B) & m1_group_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(C,k1_funct_1(k1_latsubgr(A),B)) -> r2_hidden(k3_group_1(A,C),k1_funct_1(k1_latsubgr(A),B))))))))) # label(t22_latsubgr) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.75/1.11 62 v4_group_1(c6) # label(t22_latsubgr) # label(negated_conjecture). [clausify(54)].
% 0.75/1.11 66 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(k3_group_1(A,B),u1_struct_0(A)) # label(dt_k3_group_1) # label(axiom). [clausify(14)].
% 0.75/1.11 67 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_group_2(C,A) | -r1_rlvect_1(C,B) | r1_rlvect_1(C,k3_group_1(A,B)) # label(t60_group_2) # label(axiom). [clausify(50)].
% 0.75/1.11 68 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) | -m1_subset_1(C,u1_struct_0(A)) | -r2_hidden(C,k1_funct_1(k1_latsubgr(A),B)) | r1_rlvect_1(B,C) # label(t18_latsubgr) # label(axiom). [clausify(44)].
% 0.75/1.11 69 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) | -m1_subset_1(C,u1_struct_0(A)) | r2_hidden(C,k1_funct_1(k1_latsubgr(A),B)) | -r1_rlvect_1(B,C) # label(t18_latsubgr) # label(axiom). [clausify(44)].
% 0.75/1.11 71 v1_group_1(c7) # label(t22_latsubgr) # label(negated_conjecture). [clausify(54)].
% 0.75/1.11 73 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_group_1(A) | -m1_group_2(A,c6) | -m1_subset_1(B,u1_struct_0(c6)) | -r2_hidden(B,k1_funct_1(k1_latsubgr(c6),A)) | r1_rlvect_1(A,B). [resolve(68,c,62,a)].
% 0.75/1.11 74 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -v1_group_1(A) | -m1_group_2(A,c6) | -m1_subset_1(B,u1_struct_0(c6)) | r2_hidden(B,k1_funct_1(k1_latsubgr(c6),A)) | -r1_rlvect_1(A,B). [resolve(69,c,62,a)].
% 0.75/1.11 101 v3_group_1(c6) # label(t22_latsubgr) # label(negated_conjecture). [clausify(54)].
% 0.75/1.11 102 l1_group_1(c6) # label(t22_latsubgr) # label(negated_conjecture). [clausify(54)].
% 0.75/1.11 104 m1_group_2(c7,c6) # label(t22_latsubgr) # label(negated_conjecture). [clausify(54)].
% 0.75/1.11 106 m1_subset_1(c8,u1_struct_0(c6)) # label(t22_latsubgr) # label(negated_conjecture). [clausify(54)].
% 0.75/1.11 112 r2_hidden(c8,k1_funct_1(k1_latsubgr(c6),c7)) # label(t22_latsubgr) # label(negated_conjecture). [clausify(54)].
% 0.75/1.11 116 -v3_struct_0(c6) # label(t22_latsubgr) # label(negated_conjecture). [clausify(54)].
% 0.75/1.11 120 -r2_hidden(k3_group_1(c6,c8),k1_funct_1(k1_latsubgr(c6),c7)) # label(t22_latsubgr) # label(negated_conjecture). [clausify(54)].
% 0.75/1.11 150 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_subset_1(A,u1_struct_0(c6)) | m1_subset_1(k3_group_1(c6,A),u1_struct_0(c6)). [resolve(66,c,62,a)].
% 0.75/1.11 151 -m1_subset_1(A,u1_struct_0(c6)) | m1_subset_1(k3_group_1(c6,A),u1_struct_0(c6)). [copy(150),unit_del(a,116),unit_del(b,101),unit_del(c,102)].
% 0.75/1.11 152 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_subset_1(A,u1_struct_0(c6)) | -m1_group_2(B,c6) | -r1_rlvect_1(B,A) | r1_rlvect_1(B,k3_group_1(c6,A)). [resolve(67,c,62,a)].
% 0.75/1.11 153 -m1_subset_1(A,u1_struct_0(c6)) | -m1_group_2(B,c6) | -r1_rlvect_1(B,A) | r1_rlvect_1(B,k3_group_1(c6,A)). [copy(152),unit_del(a,116),unit_del(b,101),unit_del(c,102)].
% 0.75/1.11 155 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(c7,c6) | -m1_subset_1(A,u1_struct_0(c6)) | -r2_hidden(A,k1_funct_1(k1_latsubgr(c6),c7)) | r1_rlvect_1(c7,A). [resolve(73,d,71,a)].
% 0.75/1.11 156 -m1_subset_1(A,u1_struct_0(c6)) | -r2_hidden(A,k1_funct_1(k1_latsubgr(c6),c7)) | r1_rlvect_1(c7,A). [copy(155),unit_del(a,116),unit_del(b,101),unit_del(c,102),unit_del(d,104)].
% 0.75/1.11 157 v3_struct_0(c6) | -v3_group_1(c6) | -l1_group_1(c6) | -m1_group_2(c7,c6) | -m1_subset_1(A,u1_struct_0(c6)) | r2_hidden(A,k1_funct_1(k1_latsubgr(c6),c7)) | -r1_rlvect_1(c7,A). [resolve(74,d,71,a)].
% 0.75/1.11 158 -m1_subset_1(A,u1_struct_0(c6)) | r2_hidden(A,k1_funct_1(k1_latsubgr(c6),c7)) | -r1_rlvect_1(c7,A). [copy(157),unit_del(a,116),unit_del(b,101),unit_del(c,102),unit_del(d,104)].
% 0.75/1.11 296 m1_subset_1(k3_group_1(c6,c8),u1_struct_0(c6)). [resolve(151,a,106,a)].
% 0.75/1.11 298 r1_rlvect_1(c7,c8). [resolve(156,b,112,a),unit_del(a,106)].
% 0.75/1.11 442 r1_rlvect_1(c7,k3_group_1(c6,c8)). [resolve(298,a,153,c),unit_del(a,106),unit_del(b,104)].
% 0.75/1.11 944 $F. [resolve(442,a,158,c),unit_del(a,296),unit_del(b,120)].
% 0.75/1.11
% 0.75/1.11 % SZS output end Refutation
% 0.75/1.11 ============================== end of proof ==========================
% 0.75/1.11
% 0.75/1.11 ============================== STATISTICS ============================
% 0.75/1.11
% 0.75/1.11 Given=136. Generated=936. Kept=814. proofs=1.
% 0.75/1.11 Usable=132. Sos=667. Demods=4. Limbo=0, Disabled=157. Hints=0.
% 0.75/1.11 Megabytes=0.74.
% 0.75/1.11 User_CPU=0.10, System_CPU=0.01, Wall_clock=0.
% 0.75/1.11
% 0.75/1.11 ============================== end of statistics =====================
% 0.75/1.11
% 0.75/1.11 ============================== end of search =========================
% 0.75/1.11
% 0.75/1.11 THEOREM PROVED
% 0.75/1.11 % SZS status Theorem
% 0.75/1.11
% 0.75/1.11 Exiting with 1 proof.
% 0.75/1.11
% 0.75/1.11 Process 1458 exit (max_proofs) Mon Jun 13 06:51:57 2022
% 0.75/1.12 Prover9 interrupted
%------------------------------------------------------------------------------