TSTP Solution File: ALG216+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : ALG216+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:54:03 EDT 2022
% Result : Theorem 0.76s 1.17s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG216+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 06:24:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/1.02 ============================== Prover9 ===============================
% 0.44/1.02 Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.02 Process 25944 was started by sandbox on n028.cluster.edu,
% 0.44/1.02 Thu Jun 9 06:24:48 2022
% 0.44/1.02 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_25791_n028.cluster.edu".
% 0.44/1.02 ============================== end of head ===========================
% 0.44/1.02
% 0.44/1.02 ============================== INPUT =================================
% 0.44/1.02
% 0.44/1.02 % Reading from file /tmp/Prover9_25791_n028.cluster.edu
% 0.44/1.02
% 0.44/1.02 set(prolog_style_variables).
% 0.44/1.02 set(auto2).
% 0.44/1.02 % set(auto2) -> set(auto).
% 0.44/1.02 % set(auto) -> set(auto_inference).
% 0.44/1.02 % set(auto) -> set(auto_setup).
% 0.44/1.02 % set(auto_setup) -> set(predicate_elim).
% 0.44/1.02 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/1.02 % set(auto) -> set(auto_limits).
% 0.44/1.02 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/1.02 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/1.02 % set(auto) -> set(auto_denials).
% 0.44/1.02 % set(auto) -> set(auto_process).
% 0.44/1.02 % set(auto2) -> assign(new_constants, 1).
% 0.44/1.02 % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/1.02 % set(auto2) -> assign(max_weight, "200.000").
% 0.44/1.02 % set(auto2) -> assign(max_hours, 1).
% 0.44/1.02 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/1.02 % set(auto2) -> assign(max_seconds, 0).
% 0.44/1.02 % set(auto2) -> assign(max_minutes, 5).
% 0.44/1.02 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/1.02 % set(auto2) -> set(sort_initial_sos).
% 0.44/1.02 % set(auto2) -> assign(sos_limit, -1).
% 0.44/1.02 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/1.02 % set(auto2) -> assign(max_megs, 400).
% 0.44/1.02 % set(auto2) -> assign(stats, some).
% 0.44/1.02 % set(auto2) -> clear(echo_input).
% 0.44/1.02 % set(auto2) -> set(quiet).
% 0.44/1.02 % set(auto2) -> clear(print_initial_clauses).
% 0.44/1.02 % set(auto2) -> clear(print_given).
% 0.44/1.02 assign(lrs_ticks,-1).
% 0.44/1.02 assign(sos_limit,10000).
% 0.44/1.02 assign(order,kbo).
% 0.44/1.02 set(lex_order_vars).
% 0.44/1.02 clear(print_given).
% 0.44/1.02
% 0.44/1.02 % formulas(sos). % not echoed (53 formulas)
% 0.44/1.02
% 0.44/1.02 ============================== end of input ==========================
% 0.44/1.02
% 0.44/1.02 % From the command line: assign(max_seconds, 300).
% 0.44/1.02
% 0.44/1.02 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/1.02
% 0.44/1.02 % Formulas that are not ordinary clauses:
% 0.44/1.02 1 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 2 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 3 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 4 (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].
% 0.44/1.02 5 (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].
% 0.44/1.02 6 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 7 (exists A l1_vectsp_1(A)) # label(existence_l1_vectsp_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 8 (all A (l1_vectsp_1(A) -> l1_group_1(A))) # label(dt_l1_vectsp_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 9 (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].
% 0.44/1.02 10 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 11 (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) & v1_finset_1(B))))) # label(rc2_rlvect_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 12 (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].
% 0.44/1.02 13 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 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].
% 0.44/1.02 15 (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].
% 0.44/1.02 16 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 17 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 18 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 19 (all A all B k2_tarski(A,B) = k2_tarski(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 20 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 21 (exists A l1_rlvect_1(A)) # label(existence_l1_rlvect_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 22 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 23 (exists A l2_struct_0(A)) # label(existence_l2_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 24 (exists A l2_vectsp_1(A)) # label(existence_l2_vectsp_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 25 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 26 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 27 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 28 (all A (l1_rlvect_1(A) -> l2_struct_0(A))) # label(dt_l1_rlvect_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 29 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 30 (all A (l2_struct_0(A) -> l1_struct_0(A))) # label(dt_l2_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 31 (all A (l2_vectsp_1(A) -> l1_vectsp_1(A) & l2_struct_0(A))) # label(dt_l2_vectsp_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 32 (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].
% 0.44/1.02 33 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 34 (all A all B -v1_xboole_0(k2_tarski(A,B))) # label(fc3_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 35 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 36 (exists A (l2_struct_0(A) & -v3_struct_0(A))) # label(rc4_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 37 (all A (l1_struct_0(A) -> (exists B (l1_vectsp_2(B,A) & -v3_struct_0(B))))) # label(rc9_vectsp_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 38 (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].
% 0.44/1.02 39 (all A all B all C (-v3_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> k8_rlvect_2(A,B,C) = k8_rlvect_2(A,C,B))) # label(commutativity_k8_rlvect_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 40 (all A (l1_struct_0(A) -> (exists B l1_vectsp_2(B,A)))) # label(existence_l1_vectsp_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 41 (exists A l3_vectsp_1(A)) # label(existence_l3_vectsp_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 42 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 43 (all A all B all C (-v3_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> k8_rlvect_2(A,B,C) = k2_tarski(B,C))) # label(redefinition_k8_rlvect_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 44 (all A (l2_struct_0(A) -> m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)))) # label(dt_k1_rlvect_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 45 (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].
% 0.44/1.02 46 (all A all B all C (-v3_struct_0(A) & l1_struct_0(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> v1_finset_1(k8_rlvect_2(A,B,C)) & m1_subset_1(k8_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k8_rlvect_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 47 (all A (l1_struct_0(A) -> (all B (l1_vectsp_2(B,A) -> l1_rlvect_1(B))))) # label(dt_l1_vectsp_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 48 (all A (l3_vectsp_1(A) -> l1_rlvect_1(A) & l2_vectsp_1(A))) # label(dt_l3_vectsp_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 49 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 50 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 51 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (v1_rmod_5(k8_rlvect_2(B,C,D),A,B) -> k1_rlvect_1(A) = k2_group_1(A) | C != k1_rlvect_1(B) & D != k1_rlvect_1(B)))))))))) # label(t5_rmod_5) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.02 52 -(all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (k1_rlvect_1(A) != k2_group_1(A) -> -v1_rmod_5(k8_rlvect_2(B,C,k1_rlvect_1(B)),A,B) & -v1_rmod_5(k8_rlvect_2(B,k1_rlvect_1(B),C),A,B)))))))) # label(t6_rmod_5) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.44/1.02
% 0.44/1.02 ============================== end of process non-clausal formulas ===
% 0.44/1.02
% 0.44/1.02 ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/1.02
% 0.44/1.02 ============================== PREDICATE ELIMINATION =================
% 0.44/1.02 53 -l1_vectsp_1(A) | l1_group_1(A) # label(dt_l1_vectsp_1) # label(axiom). [clausify(8)].
% 0.44/1.02 54 l1_vectsp_1(c1) # label(existence_l1_vectsp_1) # label(axiom). [clausify(7)].
% 0.44/1.02 Derived: l1_group_1(c1). [resolve(53,a,54,a)].
% 0.44/1.02 55 -l2_vectsp_1(A) | l1_vectsp_1(A) # label(dt_l2_vectsp_1) # label(axiom). [clausify(31)].
% 0.44/1.02 Derived: -l2_vectsp_1(A) | l1_group_1(A). [resolve(55,b,53,a)].
% 0.44/1.02 56 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom). [clausify(27)].
% 0.44/1.02 57 l1_group_1(c4) # label(existence_l1_group_1) # label(axiom). [clausify(20)].
% 0.44/1.02 Derived: l1_struct_0(c4). [resolve(56,a,57,a)].
% 0.44/1.02 58 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). [clausify(45)].
% 0.44/1.02 Derived: v3_struct_0(c4) | m1_subset_1(k2_group_1(c4),u1_struct_0(c4)). [resolve(58,b,57,a)].
% 0.44/1.02 59 l1_group_1(c1). [resolve(53,a,54,a)].
% 0.44/1.02 Derived: l1_struct_0(c1). [resolve(59,a,56,a)].
% 0.44/1.02 Derived: v3_struct_0(c1) | m1_subset_1(k2_group_1(c1),u1_struct_0(c1)). [resolve(59,a,58,b)].
% 0.44/1.02 60 -l2_vectsp_1(A) | l1_group_1(A). [resolve(55,b,53,a)].
% 0.44/1.02 Derived: -l2_vectsp_1(A) | l1_struct_0(A). [resolve(60,b,56,a)].
% 0.44/1.02 Derived: -l2_vectsp_1(A) | v3_struct_0(A) | m1_subset_1(k2_group_1(A),u1_struct_0(A)). [resolve(60,b,58,b)].
% 0.44/1.02 61 -l1_rlvect_1(A) | l2_struct_0(A) # label(dt_l1_rlvect_1) # label(axiom). [clausify(28)].
% 0.44/1.02 62 l1_rlvect_1(c5) # label(existence_l1_rlvect_1) # label(axiom). [clausify(21)].
% 0.44/1.02 Derived: l2_struct_0(c5). [resolve(61,a,62,a)].
% 0.44/1.02 63 -l3_vectsp_1(A) | l1_rlvect_1(A) # label(dt_l3_vectsp_1) # label(axiom). [clausify(48)].
% 0.44/1.02 Derived: -l3_vectsp_1(A) | l2_struct_0(A). [resolve(63,b,61,a)].
% 0.44/1.02 64 -l1_struct_0(A) | -l1_vectsp_2(B,A) | l1_rlvect_1(B) # label(dt_l1_vectsp_2) # label(axiom). [clausify(47)].
% 0.44/1.02 Derived: -l1_struct_0(A) | -l1_vectsp_2(B,A) | l2_struct_0(B). [resolve(64,c,61,a)].
% 0.44/1.02 65 -l1_struct_0(A) | -v3_struct_0(f5(A)) # label(rc9_vectsp_2) # label(axiom). [clausify(37)].
% 0.44/1.02 66 l1_struct_0(c6) # label(existence_l1_struct_0) # label(axiom). [clausify(22)].
% 0.44/1.02 67 l1_struct_0(c9) # label(rc3_struct_0) # label(axiom). [clausify(35)].
% 0.76/1.02 Derived: -v3_struct_0(f5(c6)). [resolve(65,a,66,a)].
% 0.76/1.02 Derived: -v3_struct_0(f5(c9)). [resolve(65,a,67,a)].
% 0.76/1.02 68 -l2_struct_0(A) | l1_struct_0(A) # label(dt_l2_struct_0) # label(axiom). [clausify(30)].
% 0.76/1.02 Derived: -l2_struct_0(A) | -v3_struct_0(f5(A)). [resolve(68,b,65,a)].
% 0.76/1.02 69 -l1_struct_0(A) | l1_vectsp_2(f5(A),A) # label(rc9_vectsp_2) # label(axiom). [clausify(37)].
% 0.76/1.02 Derived: l1_vectsp_2(f5(c6),c6). [resolve(69,a,66,a)].
% 0.76/1.02 Derived: l1_vectsp_2(f5(c9),c9). [resolve(69,a,67,a)].
% 0.76/1.02 Derived: l1_vectsp_2(f5(A),A) | -l2_struct_0(A). [resolve(69,a,68,b)].
% 0.76/1.02 70 -l1_struct_0(A) | l1_vectsp_2(f6(A),A) # label(existence_l1_vectsp_2) # label(axiom). [clausify(40)].
% 0.76/1.02 Derived: l1_vectsp_2(f6(c6),c6). [resolve(70,a,66,a)].
% 0.76/1.02 Derived: l1_vectsp_2(f6(c9),c9). [resolve(70,a,67,a)].
% 0.76/1.02 Derived: l1_vectsp_2(f6(A),A) | -l2_struct_0(A). [resolve(70,a,68,b)].
% 0.76/1.02 71 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f2(A)) # label(rc2_rlvect_2) # label(axiom). [clausify(11)].
% 0.76/1.02 Derived: v3_struct_0(c6) | -v1_xboole_0(f2(c6)). [resolve(71,b,66,a)].
% 0.76/1.02 Derived: v3_struct_0(c9) | -v1_xboole_0(f2(c9)). [resolve(71,b,67,a)].
% 0.76/1.02 Derived: v3_struct_0(A) | -v1_xboole_0(f2(A)) | -l2_struct_0(A). [resolve(71,b,68,b)].
% 0.76/1.02 72 v3_struct_0(A) | -l1_struct_0(A) | v1_finset_1(f2(A)) # label(rc2_rlvect_2) # label(axiom). [clausify(11)].
% 0.76/1.02 Derived: v3_struct_0(c6) | v1_finset_1(f2(c6)). [resolve(72,b,66,a)].
% 0.76/1.02 Derived: v3_struct_0(c9) | v1_finset_1(f2(c9)). [resolve(72,b,67,a)].
% 0.76/1.02 Derived: v3_struct_0(A) | v1_finset_1(f2(A)) | -l2_struct_0(A). [resolve(72,b,68,b)].
% 0.76/1.02 73 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f4(A)) # label(rc5_struct_0) # label(axiom). [clausify(14)].
% 0.76/1.02 Derived: v3_struct_0(c6) | -v1_xboole_0(f4(c6)). [resolve(73,b,66,a)].
% 0.76/1.02 Derived: v3_struct_0(c9) | -v1_xboole_0(f4(c9)). [resolve(73,b,67,a)].
% 0.76/1.02 Derived: v3_struct_0(A) | -v1_xboole_0(f4(A)) | -l2_struct_0(A). [resolve(73,b,68,b)].
% 0.76/1.02 74 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(32)].
% 0.76/1.02 Derived: v3_struct_0(c6) | -v1_xboole_0(u1_struct_0(c6)). [resolve(74,b,66,a)].
% 0.76/1.02 Derived: v3_struct_0(c9) | -v1_xboole_0(u1_struct_0(c9)). [resolve(74,b,67,a)].
% 0.76/1.02 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_struct_0(A). [resolve(74,b,68,b)].
% 0.76/1.02 75 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f2(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc2_rlvect_2) # label(axiom). [clausify(11)].
% 0.76/1.02 Derived: v3_struct_0(c6) | m1_subset_1(f2(c6),k1_zfmisc_1(u1_struct_0(c6))). [resolve(75,b,66,a)].
% 0.76/1.02 Derived: v3_struct_0(c9) | m1_subset_1(f2(c9),k1_zfmisc_1(u1_struct_0(c9))). [resolve(75,b,67,a)].
% 0.76/1.02 Derived: v3_struct_0(A) | m1_subset_1(f2(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_struct_0(A). [resolve(75,b,68,b)].
% 0.76/1.02 76 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f4(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(14)].
% 0.76/1.02 Derived: v3_struct_0(c6) | m1_subset_1(f4(c6),k1_zfmisc_1(u1_struct_0(c6))). [resolve(76,b,66,a)].
% 0.76/1.02 Derived: v3_struct_0(c9) | m1_subset_1(f4(c9),k1_zfmisc_1(u1_struct_0(c9))). [resolve(76,b,67,a)].
% 0.76/1.02 Derived: v3_struct_0(A) | m1_subset_1(f4(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_struct_0(A). [resolve(76,b,68,b)].
% 0.76/1.02 77 v3_struct_0(A) | -l1_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | v1_finset_1(k8_rlvect_2(A,B,C)) # label(dt_k8_rlvect_2) # label(axiom). [clausify(46)].
% 0.76/1.02 Derived: v3_struct_0(c6) | -m1_subset_1(A,u1_struct_0(c6)) | -m1_subset_1(B,u1_struct_0(c6)) | v1_finset_1(k8_rlvect_2(c6,A,B)). [resolve(77,b,66,a)].
% 0.76/1.02 Derived: v3_struct_0(c9) | -m1_subset_1(A,u1_struct_0(c9)) | -m1_subset_1(B,u1_struct_0(c9)) | v1_finset_1(k8_rlvect_2(c9,A,B)). [resolve(77,b,67,a)].
% 0.76/1.02 Derived: v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | v1_finset_1(k8_rlvect_2(A,B,C)) | -l2_struct_0(A). [resolve(77,b,68,b)].
% 0.76/1.02 78 v3_struct_0(A) | -l1_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k8_rlvect_2(A,B,C) = k2_tarski(B,C) # label(redefinition_k8_rlvect_2) # label(axiom). [clausify(43)].
% 0.76/1.02 Derived: v3_struct_0(c6) | -m1_subset_1(A,u1_struct_0(c6)) | -m1_subset_1(B,u1_struct_0(c6)) | k8_rlvect_2(c6,A,B) = k2_tarski(A,B). [resolve(78,b,66,a)].
% 0.76/1.02 Derived: v3_struct_0(c9) | -m1_subset_1(A,u1_struct_0(c9)) | -m1_subset_1(B,u1_struct_0(c9)) | k8_rlvect_2(c9,A,B) = k2_tarski(A,B). [resolve(78,b,67,a)].
% 0.76/1.02 Derived: v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k8_rlvect_2(A,B,C) = k2_tarski(B,C) | -l2_struct_0(A). [resolve(78,b,68,b)].
% 0.76/1.02 79 v3_struct_0(A) | -l1_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m1_subset_1(k8_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) # label(dt_k8_rlvect_2) # label(axiom). [clausify(46)].
% 0.76/1.02 Derived: v3_struct_0(c6) | -m1_subset_1(A,u1_struct_0(c6)) | -m1_subset_1(B,u1_struct_0(c6)) | m1_subset_1(k8_rlvect_2(c6,A,B),k1_zfmisc_1(u1_struct_0(c6))). [resolve(79,b,66,a)].
% 0.76/1.02 Derived: v3_struct_0(c9) | -m1_subset_1(A,u1_struct_0(c9)) | -m1_subset_1(B,u1_struct_0(c9)) | m1_subset_1(k8_rlvect_2(c9,A,B),k1_zfmisc_1(u1_struct_0(c9))). [resolve(79,b,67,a)].
% 0.76/1.02 Derived: v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m1_subset_1(k8_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) | -l2_struct_0(A). [resolve(79,b,68,b)].
% 0.76/1.02 80 v3_struct_0(A) | -l1_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k8_rlvect_2(A,C,B) = k8_rlvect_2(A,B,C) # label(commutativity_k8_rlvect_2) # label(axiom). [clausify(39)].
% 0.76/1.02 Derived: v3_struct_0(c6) | -m1_subset_1(A,u1_struct_0(c6)) | -m1_subset_1(B,u1_struct_0(c6)) | k8_rlvect_2(c6,B,A) = k8_rlvect_2(c6,A,B). [resolve(80,b,66,a)].
% 0.76/1.02 Derived: v3_struct_0(c9) | -m1_subset_1(A,u1_struct_0(c9)) | -m1_subset_1(B,u1_struct_0(c9)) | k8_rlvect_2(c9,B,A) = k8_rlvect_2(c9,A,B). [resolve(80,b,67,a)].
% 0.76/1.02 Derived: v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k8_rlvect_2(A,C,B) = k8_rlvect_2(A,B,C) | -l2_struct_0(A). [resolve(80,b,68,b)].
% 0.76/1.02 81 l1_struct_0(c4). [resolve(56,a,57,a)].
% 0.76/1.02 Derived: -v3_struct_0(f5(c4)). [resolve(81,a,65,a)].
% 0.76/1.02 Derived: l1_vectsp_2(f5(c4),c4). [resolve(81,a,69,a)].
% 0.76/1.02 Derived: l1_vectsp_2(f6(c4),c4). [resolve(81,a,70,a)].
% 0.76/1.02 Derived: v3_struct_0(c4) | -v1_xboole_0(f2(c4)). [resolve(81,a,71,b)].
% 0.76/1.02 Derived: v3_struct_0(c4) | v1_finset_1(f2(c4)). [resolve(81,a,72,b)].
% 0.76/1.02 Derived: v3_struct_0(c4) | -v1_xboole_0(f4(c4)). [resolve(81,a,73,b)].
% 0.76/1.02 Derived: v3_struct_0(c4) | -v1_xboole_0(u1_struct_0(c4)). [resolve(81,a,74,b)].
% 0.76/1.02 Derived: v3_struct_0(c4) | m1_subset_1(f2(c4),k1_zfmisc_1(u1_struct_0(c4))). [resolve(81,a,75,b)].
% 0.76/1.02 Derived: v3_struct_0(c4) | m1_subset_1(f4(c4),k1_zfmisc_1(u1_struct_0(c4))). [resolve(81,a,76,b)].
% 0.76/1.02 Derived: v3_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | v1_finset_1(k8_rlvect_2(c4,A,B)). [resolve(81,a,77,b)].
% 0.76/1.02 Derived: v3_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | k8_rlvect_2(c4,A,B) = k2_tarski(A,B). [resolve(81,a,78,b)].
% 0.76/1.02 Derived: v3_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | m1_subset_1(k8_rlvect_2(c4,A,B),k1_zfmisc_1(u1_struct_0(c4))). [resolve(81,a,79,b)].
% 0.76/1.02 Derived: v3_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | k8_rlvect_2(c4,B,A) = k8_rlvect_2(c4,A,B). [resolve(81,a,80,b)].
% 0.76/1.02 82 l1_struct_0(c1). [resolve(59,a,56,a)].
% 0.76/1.02 Derived: -v3_struct_0(f5(c1)). [resolve(82,a,65,a)].
% 0.76/1.02 Derived: l1_vectsp_2(f5(c1),c1). [resolve(82,a,69,a)].
% 0.76/1.02 Derived: l1_vectsp_2(f6(c1),c1). [resolve(82,a,70,a)].
% 0.76/1.02 Derived: v3_struct_0(c1) | -v1_xboole_0(f2(c1)). [resolve(82,a,71,b)].
% 0.76/1.02 Derived: v3_struct_0(c1) | v1_finset_1(f2(c1)). [resolve(82,a,72,b)].
% 0.76/1.02 Derived: v3_struct_0(c1) | -v1_xboole_0(f4(c1)). [resolve(82,a,73,b)].
% 0.76/1.02 Derived: v3_struct_0(c1) | -v1_xboole_0(u1_struct_0(c1)). [resolve(82,a,74,b)].
% 0.76/1.02 Derived: v3_struct_0(c1) | m1_subset_1(f2(c1),k1_zfmisc_1(u1_struct_0(c1))). [resolve(82,a,75,b)].
% 0.76/1.02 Derived: v3_struct_0(c1) | m1_subset_1(f4(c1),k1_zfmisc_1(u1_struct_0(c1))). [resolve(82,a,76,b)].
% 0.76/1.02 Derived: v3_struct_0(c1) | -m1_subset_1(A,u1_struct_0(c1)) | -m1_subset_1(B,u1_struct_0(c1)) | v1_finset_1(k8_rlvect_2(c1,A,B)). [resolve(82,a,77,b)].
% 0.76/1.03 Derived: v3_struct_0(c1) | -m1_subset_1(A,u1_struct_0(c1)) | -m1_subset_1(B,u1_struct_0(c1)) | k8_rlvect_2(c1,A,B) = k2_tarski(A,B). [resolve(82,a,78,b)].
% 0.76/1.03 Derived: v3_struct_0(c1) | -m1_subset_1(A,u1_struct_0(c1)) | -m1_subset_1(B,u1_struct_0(c1)) | m1_subset_1(k8_rlvect_2(c1,A,B),k1_zfmisc_1(u1_struct_0(c1))). [resolve(82,a,79,b)].
% 0.76/1.03 Derived: v3_struct_0(c1) | -m1_subset_1(A,u1_struct_0(c1)) | -m1_subset_1(B,u1_struct_0(c1)) | k8_rlvect_2(c1,B,A) = k8_rlvect_2(c1,A,B). [resolve(82,a,80,b)].
% 0.76/1.03 83 -l2_vectsp_1(A) | l1_struct_0(A). [resolve(60,b,56,a)].
% 0.76/1.03 Derived: -l2_vectsp_1(A) | -v3_struct_0(f5(A)). [resolve(83,b,65,a)].
% 0.76/1.03 Derived: -l2_vectsp_1(A) | l1_vectsp_2(f5(A),A). [resolve(83,b,69,a)].
% 0.76/1.03 Derived: -l2_vectsp_1(A) | l1_vectsp_2(f6(A),A). [resolve(83,b,70,a)].
% 0.76/1.03 Derived: -l2_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(f2(A)). [resolve(83,b,71,b)].
% 0.76/1.03 Derived: -l2_vectsp_1(A) | v3_struct_0(A) | v1_finset_1(f2(A)). [resolve(83,b,72,b)].
% 0.76/1.03 Derived: -l2_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(f4(A)). [resolve(83,b,73,b)].
% 0.76/1.03 Derived: -l2_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)). [resolve(83,b,74,b)].
% 0.76/1.03 Derived: -l2_vectsp_1(A) | v3_struct_0(A) | m1_subset_1(f2(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(83,b,75,b)].
% 0.76/1.03 Derived: -l2_vectsp_1(A) | v3_struct_0(A) | m1_subset_1(f4(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(83,b,76,b)].
% 0.76/1.03 Derived: -l2_vectsp_1(A) | v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | v1_finset_1(k8_rlvect_2(A,B,C)). [resolve(83,b,77,b)].
% 0.76/1.03 Derived: -l2_vectsp_1(A) | v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k8_rlvect_2(A,B,C) = k2_tarski(B,C). [resolve(83,b,78,b)].
% 0.76/1.03 Derived: -l2_vectsp_1(A) | v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m1_subset_1(k8_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))). [resolve(83,b,79,b)].
% 0.76/1.03 Derived: -l2_vectsp_1(A) | v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k8_rlvect_2(A,C,B) = k8_rlvect_2(A,B,C). [resolve(83,b,80,b)].
% 0.76/1.03 84 -l1_struct_0(A) | -l1_vectsp_2(B,A) | l2_struct_0(B). [resolve(64,c,61,a)].
% 0.76/1.03 Derived: -l1_vectsp_2(A,c6) | l2_struct_0(A). [resolve(84,a,66,a)].
% 0.76/1.03 Derived: -l1_vectsp_2(A,c9) | l2_struct_0(A). [resolve(84,a,67,a)].
% 0.76/1.03 Derived: -l1_vectsp_2(A,B) | l2_struct_0(A) | -l2_struct_0(B). [resolve(84,a,68,b)].
% 0.76/1.03 Derived: -l1_vectsp_2(A,c4) | l2_struct_0(A). [resolve(84,a,81,a)].
% 0.76/1.03 Derived: -l1_vectsp_2(A,c1) | l2_struct_0(A). [resolve(84,a,82,a)].
% 0.76/1.03 Derived: -l1_vectsp_2(A,B) | l2_struct_0(A) | -l2_vectsp_1(B). [resolve(84,a,83,b)].
% 0.76/1.03 85 -l2_vectsp_1(A) | l2_struct_0(A) # label(dt_l2_vectsp_1) # label(axiom). [clausify(31)].
% 0.76/1.03 86 l2_vectsp_1(c8) # label(existence_l2_vectsp_1) # label(axiom). [clausify(24)].
% 0.76/1.03 Derived: l2_struct_0(c8). [resolve(85,a,86,a)].
% 0.76/1.03 87 -l3_vectsp_1(A) | l2_vectsp_1(A) # label(dt_l3_vectsp_1) # label(axiom). [clausify(48)].
% 0.76/1.03 88 -l2_vectsp_1(A) | v3_struct_0(A) | m1_subset_1(k2_group_1(A),u1_struct_0(A)). [resolve(60,b,58,b)].
% 0.76/1.03 Derived: v3_struct_0(c8) | m1_subset_1(k2_group_1(c8),u1_struct_0(c8)). [resolve(88,a,86,a)].
% 0.76/1.03 Derived: v3_struct_0(A) | m1_subset_1(k2_group_1(A),u1_struct_0(A)) | -l3_vectsp_1(A). [resolve(88,a,87,b)].
% 0.76/1.03 89 -l2_vectsp_1(A) | -v3_struct_0(f5(A)). [resolve(83,b,65,a)].
% 0.76/1.03 Derived: -v3_struct_0(f5(c8)). [resolve(89,a,86,a)].
% 0.76/1.03 Derived: -v3_struct_0(f5(A)) | -l3_vectsp_1(A). [resolve(89,a,87,b)].
% 0.76/1.03 90 -l2_vectsp_1(A) | l1_vectsp_2(f5(A),A). [resolve(83,b,69,a)].
% 0.76/1.03 Derived: l1_vectsp_2(f5(c8),c8). [resolve(90,a,86,a)].
% 0.76/1.03 Derived: l1_vectsp_2(f5(A),A) | -l3_vectsp_1(A). [resolve(90,a,87,b)].
% 0.76/1.03 91 -l2_vectsp_1(A) | l1_vectsp_2(f6(A),A). [resolve(83,b,70,a)].
% 0.76/1.03 Derived: l1_vectsp_2(f6(c8),c8). [resolve(91,a,86,a)].
% 0.76/1.03 Derived: l1_vectsp_2(f6(A),A) | -l3_vectsp_1(A). [resolve(91,a,87,b)].
% 0.76/1.03 92 -l2_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(f2(A)). [resolve(83,b,71,b)].
% 0.76/1.03 Derived: v3_struct_0(c8) | -v1_xboole_0(f2(c8)). [resolve(92,a,86,a)].
% 0.76/1.03 Derived: v3_struct_0(A) | -v1_xboole_0(f2(A)) | -l3_vectsp_1(A). [resolve(92,a,87,b)].
% 0.76/1.03 93 -l2_vectsp_1(A) | v3_struct_0(A) | v1_finset_1(f2(A)). [resolve(83,b,72,b)].
% 0.76/1.03 Derived: v3_struct_0(c8) | v1_finset_1(f2(c8)). [resolve(93,a,86,a)].
% 0.76/1.03 Derived: v3_struct_0(A) | v1_finset_1(f2(A)) | -l3_vectsp_1(A). [resolve(93,a,87,b)].
% 0.76/1.03 94 -l2_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(f4(A)). [resolve(83,b,73,b)].
% 0.76/1.03 Derived: v3_struct_0(c8) | -v1_xboole_0(f4(c8)). [resolve(94,a,86,a)].
% 0.76/1.03 Derived: v3_struct_0(A) | -v1_xboole_0(f4(A)) | -l3_vectsp_1(A). [resolve(94,a,87,b)].
% 0.76/1.03 95 -l2_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)). [resolve(83,b,74,b)].
% 0.76/1.03 Derived: v3_struct_0(c8) | -v1_xboole_0(u1_struct_0(c8)). [resolve(95,a,86,a)].
% 0.76/1.03 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l3_vectsp_1(A). [resolve(95,a,87,b)].
% 0.76/1.03 96 -l2_vectsp_1(A) | v3_struct_0(A) | m1_subset_1(f2(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(83,b,75,b)].
% 0.76/1.03 Derived: v3_struct_0(c8) | m1_subset_1(f2(c8),k1_zfmisc_1(u1_struct_0(c8))). [resolve(96,a,86,a)].
% 0.76/1.03 Derived: v3_struct_0(A) | m1_subset_1(f2(A),k1_zfmisc_1(u1_struct_0(A))) | -l3_vectsp_1(A). [resolve(96,a,87,b)].
% 0.76/1.03 97 -l2_vectsp_1(A) | v3_struct_0(A) | m1_subset_1(f4(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(83,b,76,b)].
% 0.76/1.03 Derived: v3_struct_0(c8) | m1_subset_1(f4(c8),k1_zfmisc_1(u1_struct_0(c8))). [resolve(97,a,86,a)].
% 0.76/1.03 Derived: v3_struct_0(A) | m1_subset_1(f4(A),k1_zfmisc_1(u1_struct_0(A))) | -l3_vectsp_1(A). [resolve(97,a,87,b)].
% 0.76/1.03 98 -l2_vectsp_1(A) | v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | v1_finset_1(k8_rlvect_2(A,B,C)). [resolve(83,b,77,b)].
% 0.76/1.03 Derived: v3_struct_0(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -m1_subset_1(B,u1_struct_0(c8)) | v1_finset_1(k8_rlvect_2(c8,A,B)). [resolve(98,a,86,a)].
% 0.76/1.03 Derived: v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | v1_finset_1(k8_rlvect_2(A,B,C)) | -l3_vectsp_1(A). [resolve(98,a,87,b)].
% 0.76/1.03 99 -l2_vectsp_1(A) | v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k8_rlvect_2(A,B,C) = k2_tarski(B,C). [resolve(83,b,78,b)].
% 0.76/1.03 Derived: v3_struct_0(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -m1_subset_1(B,u1_struct_0(c8)) | k8_rlvect_2(c8,A,B) = k2_tarski(A,B). [resolve(99,a,86,a)].
% 0.76/1.03 Derived: v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k8_rlvect_2(A,B,C) = k2_tarski(B,C) | -l3_vectsp_1(A). [resolve(99,a,87,b)].
% 0.76/1.03 100 -l2_vectsp_1(A) | v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m1_subset_1(k8_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))). [resolve(83,b,79,b)].
% 0.76/1.03 Derived: v3_struct_0(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -m1_subset_1(B,u1_struct_0(c8)) | m1_subset_1(k8_rlvect_2(c8,A,B),k1_zfmisc_1(u1_struct_0(c8))). [resolve(100,a,86,a)].
% 0.76/1.03 Derived: v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m1_subset_1(k8_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) | -l3_vectsp_1(A). [resolve(100,a,87,b)].
% 0.76/1.03 101 -l2_vectsp_1(A) | v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k8_rlvect_2(A,C,B) = k8_rlvect_2(A,B,C). [resolve(83,b,80,b)].
% 0.76/1.03 Derived: v3_struct_0(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -m1_subset_1(B,u1_struct_0(c8)) | k8_rlvect_2(c8,B,A) = k8_rlvect_2(c8,A,B). [resolve(101,a,86,a)].
% 0.76/1.03 Derived: v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k8_rlvect_2(A,C,B) = k8_rlvect_2(A,B,C) | -l3_vectsp_1(A). [resolve(101,a,87,b)].
% 0.76/1.03 102 -l1_vectsp_2(A,B) | l2_struct_0(A) | -l2_vectsp_1(B). [resolve(84,a,83,b)].
% 0.76/1.03 Derived: -l1_vectsp_2(A,c8) | l2_struct_0(A). [resolve(102,c,86,a)].
% 0.76/1.03 Derived: -l1_vectsp_2(A,B) | l2_struct_0(A) | -l3_vectsp_1(B). [resolve(102,c,87,b)].
% 0.76/1.03 103 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | -m1_subset_1(C,u1_struct_0(B)) | -m1_subset_1(D,u1_struct_0(B)) | -v1_rmod_5(k8_rlvect_2(B,C,D),A,B) | k2_group_1(A) = k1_rlvect_1(A) | k1_rlvect_1(B) != C # label(t5_rmod_5) # label(axiom). [clausify(51)].
% 0.76/1.03 104 l3_vectsp_1(c11) # label(existence_l3_vectsp_1) # label(axiom). [clausify(41)].
% 0.76/1.03 105 l3_vectsp_1(c12) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.03 Derived: v3_struct_0(c11) | -v3_rlvect_1(c11) | -v4_rlvect_1(c11) | -v5_rlvect_1(c11) | -v6_rlvect_1(c11) | -v4_group_1(c11) | -v6_vectsp_1(c11) | -v7_vectsp_1(c11) | -v8_vectsp_1(c11) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c11) | -l1_vectsp_2(A,c11) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v1_rmod_5(k8_rlvect_2(A,B,C),c11,A) | k2_group_1(c11) = k1_rlvect_1(c11) | k1_rlvect_1(A) != B. [resolve(103,j,104,a)].
% 0.76/1.03 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v4_group_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v1_rmod_5(k8_rlvect_2(A,B,C),c12,A) | k2_group_1(c12) = k1_rlvect_1(c12) | k1_rlvect_1(A) != B. [resolve(103,j,105,a)].
% 0.76/1.03 106 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | -m1_subset_1(C,u1_struct_0(B)) | -m1_subset_1(D,u1_struct_0(B)) | -v1_rmod_5(k8_rlvect_2(B,C,D),A,B) | k2_group_1(A) = k1_rlvect_1(A) | k1_rlvect_1(B) != D # label(t5_rmod_5) # label(axiom). [clausify(51)].
% 0.76/1.03 Derived: v3_struct_0(c11) | -v3_rlvect_1(c11) | -v4_rlvect_1(c11) | -v5_rlvect_1(c11) | -v6_rlvect_1(c11) | -v4_group_1(c11) | -v6_vectsp_1(c11) | -v7_vectsp_1(c11) | -v8_vectsp_1(c11) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c11) | -l1_vectsp_2(A,c11) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v1_rmod_5(k8_rlvect_2(A,B,C),c11,A) | k2_group_1(c11) = k1_rlvect_1(c11) | k1_rlvect_1(A) != C. [resolve(106,j,104,a)].
% 0.76/1.03 Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v4_group_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v1_rmod_5(k8_rlvect_2(A,B,C),c12,A) | k2_group_1(c12) = k1_rlvect_1(c12) | k1_rlvect_1(A) != C. [resolve(106,j,105,a)].
% 0.76/1.03 107 -l3_vectsp_1(A) | l2_struct_0(A). [resolve(63,b,61,a)].
% 0.76/1.03 Derived: l2_struct_0(c11). [resolve(107,a,104,a)].
% 0.76/1.03 Derived: l2_struct_0(c12). [resolve(107,a,105,a)].
% 0.76/1.03 108 v3_struct_0(A) | m1_subset_1(k2_group_1(A),u1_struct_0(A)) | -l3_vectsp_1(A). [resolve(88,a,87,b)].
% 0.76/1.03 Derived: v3_struct_0(c11) | m1_subset_1(k2_group_1(c11),u1_struct_0(c11)). [resolve(108,c,104,a)].
% 0.76/1.03 Derived: v3_struct_0(c12) | m1_subset_1(k2_group_1(c12),u1_struct_0(c12)). [resolve(108,c,105,a)].
% 0.76/1.03 109 -v3_struct_0(f5(A)) | -l3_vectsp_1(A). [resolve(89,a,87,b)].
% 0.76/1.03 Derived: -v3_struct_0(f5(c11)). [resolve(109,b,104,a)].
% 0.76/1.03 Derived: -v3_struct_0(f5(c12)). [resolve(109,b,105,a)].
% 0.76/1.03 110 l1_vectsp_2(f5(A),A) | -l3_vectsp_1(A). [resolve(90,a,87,b)].
% 0.76/1.03 Derived: l1_vectsp_2(f5(c11),c11). [resolve(110,b,104,a)].
% 0.76/1.03 Derived: l1_vectsp_2(f5(c12),c12). [resolve(110,b,105,a)].
% 0.76/1.03 111 l1_vectsp_2(f6(A),A) | -l3_vectsp_1(A). [resolve(91,a,87,b)].
% 0.76/1.03 Derived: l1_vectsp_2(f6(c11),c11). [resolve(111,b,104,a)].
% 0.76/1.03 Derived: l1_vectsp_2(f6(c12),c12). [resolve(111,b,105,a)].
% 0.76/1.03 112 v3_struct_0(A) | -v1_xboole_0(f2(A)) | -l3_vectsp_1(A). [resolve(92,a,87,b)].
% 0.76/1.03 Derived: v3_struct_0(c11) | -v1_xboole_0(f2(c11)). [resolve(112,c,104,a)].
% 0.76/1.03 Derived: v3_struct_0(c12) | -v1_xboole_0(f2(c12)). [resolve(112,c,105,a)].
% 0.76/1.03 113 v3_struct_0(A) | v1_finset_1(f2(A)) | -l3_vectsp_1(A). [resolve(93,a,87,b)].
% 0.76/1.05 Derived: v3_struct_0(c11) | v1_finset_1(f2(c11)). [resolve(113,c,104,a)].
% 0.76/1.05 Derived: v3_struct_0(c12) | v1_finset_1(f2(c12)). [resolve(113,c,105,a)].
% 0.76/1.05 114 v3_struct_0(A) | -v1_xboole_0(f4(A)) | -l3_vectsp_1(A). [resolve(94,a,87,b)].
% 0.76/1.05 Derived: v3_struct_0(c11) | -v1_xboole_0(f4(c11)). [resolve(114,c,104,a)].
% 0.76/1.05 Derived: v3_struct_0(c12) | -v1_xboole_0(f4(c12)). [resolve(114,c,105,a)].
% 0.76/1.05 115 v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l3_vectsp_1(A). [resolve(95,a,87,b)].
% 0.76/1.05 Derived: v3_struct_0(c11) | -v1_xboole_0(u1_struct_0(c11)). [resolve(115,c,104,a)].
% 0.76/1.05 Derived: v3_struct_0(c12) | -v1_xboole_0(u1_struct_0(c12)). [resolve(115,c,105,a)].
% 0.76/1.05 116 v3_struct_0(A) | m1_subset_1(f2(A),k1_zfmisc_1(u1_struct_0(A))) | -l3_vectsp_1(A). [resolve(96,a,87,b)].
% 0.76/1.05 Derived: v3_struct_0(c11) | m1_subset_1(f2(c11),k1_zfmisc_1(u1_struct_0(c11))). [resolve(116,c,104,a)].
% 0.76/1.05 Derived: v3_struct_0(c12) | m1_subset_1(f2(c12),k1_zfmisc_1(u1_struct_0(c12))). [resolve(116,c,105,a)].
% 0.76/1.05 117 v3_struct_0(A) | m1_subset_1(f4(A),k1_zfmisc_1(u1_struct_0(A))) | -l3_vectsp_1(A). [resolve(97,a,87,b)].
% 0.76/1.05 Derived: v3_struct_0(c11) | m1_subset_1(f4(c11),k1_zfmisc_1(u1_struct_0(c11))). [resolve(117,c,104,a)].
% 0.76/1.05 Derived: v3_struct_0(c12) | m1_subset_1(f4(c12),k1_zfmisc_1(u1_struct_0(c12))). [resolve(117,c,105,a)].
% 0.76/1.05 118 v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | v1_finset_1(k8_rlvect_2(A,B,C)) | -l3_vectsp_1(A). [resolve(98,a,87,b)].
% 0.76/1.05 Derived: v3_struct_0(c11) | -m1_subset_1(A,u1_struct_0(c11)) | -m1_subset_1(B,u1_struct_0(c11)) | v1_finset_1(k8_rlvect_2(c11,A,B)). [resolve(118,e,104,a)].
% 0.76/1.05 Derived: v3_struct_0(c12) | -m1_subset_1(A,u1_struct_0(c12)) | -m1_subset_1(B,u1_struct_0(c12)) | v1_finset_1(k8_rlvect_2(c12,A,B)). [resolve(118,e,105,a)].
% 0.76/1.05 119 v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k8_rlvect_2(A,B,C) = k2_tarski(B,C) | -l3_vectsp_1(A). [resolve(99,a,87,b)].
% 0.76/1.05 Derived: v3_struct_0(c11) | -m1_subset_1(A,u1_struct_0(c11)) | -m1_subset_1(B,u1_struct_0(c11)) | k8_rlvect_2(c11,A,B) = k2_tarski(A,B). [resolve(119,e,104,a)].
% 0.76/1.05 Derived: v3_struct_0(c12) | -m1_subset_1(A,u1_struct_0(c12)) | -m1_subset_1(B,u1_struct_0(c12)) | k8_rlvect_2(c12,A,B) = k2_tarski(A,B). [resolve(119,e,105,a)].
% 0.76/1.05 120 v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m1_subset_1(k8_rlvect_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) | -l3_vectsp_1(A). [resolve(100,a,87,b)].
% 0.76/1.05 Derived: v3_struct_0(c11) | -m1_subset_1(A,u1_struct_0(c11)) | -m1_subset_1(B,u1_struct_0(c11)) | m1_subset_1(k8_rlvect_2(c11,A,B),k1_zfmisc_1(u1_struct_0(c11))). [resolve(120,e,104,a)].
% 0.76/1.05 Derived: v3_struct_0(c12) | -m1_subset_1(A,u1_struct_0(c12)) | -m1_subset_1(B,u1_struct_0(c12)) | m1_subset_1(k8_rlvect_2(c12,A,B),k1_zfmisc_1(u1_struct_0(c12))). [resolve(120,e,105,a)].
% 0.76/1.05 121 v3_struct_0(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k8_rlvect_2(A,C,B) = k8_rlvect_2(A,B,C) | -l3_vectsp_1(A). [resolve(101,a,87,b)].
% 0.76/1.05 Derived: v3_struct_0(c11) | -m1_subset_1(A,u1_struct_0(c11)) | -m1_subset_1(B,u1_struct_0(c11)) | k8_rlvect_2(c11,B,A) = k8_rlvect_2(c11,A,B). [resolve(121,e,104,a)].
% 0.76/1.05 Derived: v3_struct_0(c12) | -m1_subset_1(A,u1_struct_0(c12)) | -m1_subset_1(B,u1_struct_0(c12)) | k8_rlvect_2(c12,B,A) = k8_rlvect_2(c12,A,B). [resolve(121,e,105,a)].
% 0.76/1.05 122 -l1_vectsp_2(A,B) | l2_struct_0(A) | -l3_vectsp_1(B). [resolve(102,c,87,b)].
% 0.76/1.05 Derived: -l1_vectsp_2(A,c11) | l2_struct_0(A). [resolve(122,c,104,a)].
% 0.76/1.05 Derived: -l1_vectsp_2(A,c12) | l2_struct_0(A). [resolve(122,c,105,a)].
% 0.76/1.05 123 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(38)].
% 0.76/1.05 124 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(6)].
% 0.76/1.05 125 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(38)].
% 0.76/1.05 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(123,b,124,a)].
% 0.76/1.05
% 0.76/1.05 ============================== end predicate elimination =============
% 0.76/1.05
% 0.76/1.05 Auto_denials: (non-Horn, no changes).
% 0.76/1.05
% 0.76/1.05 Term ordering decisions:
% 0.76/1.05 Function symbol KB weights: k1_xboole_0=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. c13=1. c14=1. k2_tarski=1. u1_struct_0=1. k1_zfmisc_1=1. k1_rlvect_1=1. k2_group_1=1. f1=1. f2=1. f3=1. f4=1. f5=1. f6=1. f7=1. k8_rlvect_2=1.
% 0.76/1.17
% 0.76/1.17 ============================== end of process initial clauses ========
% 0.76/1.17
% 0.76/1.17 ============================== CLAUSES FOR SEARCH ====================
% 0.76/1.17
% 0.76/1.17 ============================== end of clauses for search =============
% 0.76/1.17
% 0.76/1.17 ============================== SEARCH ================================
% 0.76/1.17
% 0.76/1.17 % Starting search at 0.05 seconds.
% 0.76/1.17
% 0.76/1.17 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 54 (0.00 of 0.14 sec).
% 0.76/1.17
% 0.76/1.17 ============================== PROOF =================================
% 0.76/1.17 % SZS status Theorem
% 0.76/1.17 % SZS output start Refutation
% 0.76/1.17
% 0.76/1.17 % Proof 1 at 0.17 (+ 0.00) seconds.
% 0.76/1.17 % Length of proof is 47.
% 0.76/1.17 % Level of proof is 7.
% 0.76/1.17 % Maximum clause weight is 35.000.
% 0.76/1.17 % Given clauses 664.
% 0.76/1.17
% 0.76/1.17 28 (all A (l1_rlvect_1(A) -> l2_struct_0(A))) # label(dt_l1_rlvect_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.17 30 (all A (l2_struct_0(A) -> l1_struct_0(A))) # label(dt_l2_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.17 44 (all A (l2_struct_0(A) -> m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)))) # label(dt_k1_rlvect_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.17 47 (all A (l1_struct_0(A) -> (all B (l1_vectsp_2(B,A) -> l1_rlvect_1(B))))) # label(dt_l1_vectsp_2) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.17 48 (all A (l3_vectsp_1(A) -> l1_rlvect_1(A) & l2_vectsp_1(A))) # label(dt_l3_vectsp_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.17 51 (all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (v1_rmod_5(k8_rlvect_2(B,C,D),A,B) -> k1_rlvect_1(A) = k2_group_1(A) | C != k1_rlvect_1(B) & D != k1_rlvect_1(B)))))))))) # label(t5_rmod_5) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.17 52 -(all A (-v3_struct_0(A) & v3_rlvect_1(A) & v4_rlvect_1(A) & v5_rlvect_1(A) & v6_rlvect_1(A) & v4_group_1(A) & v6_vectsp_1(A) & v7_vectsp_1(A) & v8_vectsp_1(A) & l3_vectsp_1(A) -> (all B (-v3_struct_0(B) & v3_rlvect_1(B) & v4_rlvect_1(B) & v5_rlvect_1(B) & v6_rlvect_1(B) & v5_vectsp_2(B,A) & l1_vectsp_2(B,A) -> (all C (m1_subset_1(C,u1_struct_0(B)) -> (k1_rlvect_1(A) != k2_group_1(A) -> -v1_rmod_5(k8_rlvect_2(B,C,k1_rlvect_1(B)),A,B) & -v1_rmod_5(k8_rlvect_2(B,k1_rlvect_1(B),C),A,B)))))))) # label(t6_rmod_5) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.76/1.17 61 -l1_rlvect_1(A) | l2_struct_0(A) # label(dt_l1_rlvect_1) # label(axiom). [clausify(28)].
% 0.76/1.17 63 -l3_vectsp_1(A) | l1_rlvect_1(A) # label(dt_l3_vectsp_1) # label(axiom). [clausify(48)].
% 0.76/1.17 64 -l1_struct_0(A) | -l1_vectsp_2(B,A) | l1_rlvect_1(B) # label(dt_l1_vectsp_2) # label(axiom). [clausify(47)].
% 0.76/1.17 68 -l2_struct_0(A) | l1_struct_0(A) # label(dt_l2_struct_0) # label(axiom). [clausify(30)].
% 0.76/1.17 84 -l1_struct_0(A) | -l1_vectsp_2(B,A) | l2_struct_0(B). [resolve(64,c,61,a)].
% 0.76/1.17 103 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | -m1_subset_1(C,u1_struct_0(B)) | -m1_subset_1(D,u1_struct_0(B)) | -v1_rmod_5(k8_rlvect_2(B,C,D),A,B) | k2_group_1(A) = k1_rlvect_1(A) | k1_rlvect_1(B) != C # label(t5_rmod_5) # label(axiom). [clausify(51)].
% 0.76/1.17 105 l3_vectsp_1(c12) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 106 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v4_group_1(A) | -v6_vectsp_1(A) | -v7_vectsp_1(A) | -v8_vectsp_1(A) | -l3_vectsp_1(A) | v3_struct_0(B) | -v3_rlvect_1(B) | -v4_rlvect_1(B) | -v5_rlvect_1(B) | -v6_rlvect_1(B) | -v5_vectsp_2(B,A) | -l1_vectsp_2(B,A) | -m1_subset_1(C,u1_struct_0(B)) | -m1_subset_1(D,u1_struct_0(B)) | -v1_rmod_5(k8_rlvect_2(B,C,D),A,B) | k2_group_1(A) = k1_rlvect_1(A) | k1_rlvect_1(B) != D # label(t5_rmod_5) # label(axiom). [clausify(51)].
% 0.76/1.17 107 -l3_vectsp_1(A) | l2_struct_0(A). [resolve(63,b,61,a)].
% 0.76/1.17 130 v3_rlvect_1(c12) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 131 v4_rlvect_1(c12) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 132 v5_rlvect_1(c12) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 133 v6_rlvect_1(c12) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 134 v4_group_1(c12) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 135 v6_vectsp_1(c12) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 136 v7_vectsp_1(c12) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 137 v8_vectsp_1(c12) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 138 v3_rlvect_1(c13) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 139 v4_rlvect_1(c13) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 140 v5_rlvect_1(c13) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 141 v6_rlvect_1(c13) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 143 v5_vectsp_2(c13,c12) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 144 l1_vectsp_2(c13,c12) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 146 m1_subset_1(c14,u1_struct_0(c13)) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 150 v1_rmod_5(k8_rlvect_2(c13,c14,k1_rlvect_1(c13)),c12,c13) | v1_rmod_5(k8_rlvect_2(c13,k1_rlvect_1(c13),c14),c12,c13) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 154 -v3_struct_0(c12) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 155 -v3_struct_0(c13) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 159 k2_group_1(c12) != k1_rlvect_1(c12) # label(t6_rmod_5) # label(negated_conjecture). [clausify(52)].
% 0.76/1.17 166 -l2_struct_0(A) | m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) # label(dt_k1_rlvect_1) # label(axiom). [clausify(44)].
% 0.76/1.17 237 -l1_vectsp_2(A,B) | l2_struct_0(A) | -l2_struct_0(B). [resolve(84,a,68,b)].
% 0.76/1.17 255 v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v4_group_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v1_rmod_5(k8_rlvect_2(A,B,C),c12,A) | k2_group_1(c12) = k1_rlvect_1(c12) | k1_rlvect_1(A) != B. [resolve(103,j,105,a)].
% 0.76/1.17 256 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v1_rmod_5(k8_rlvect_2(A,B,C),c12,A) | k1_rlvect_1(A) != B. [copy(255),unit_del(a,154),unit_del(b,130),unit_del(c,131),unit_del(d,132),unit_del(e,133),unit_del(f,134),unit_del(g,135),unit_del(h,136),unit_del(i,137),unit_del(t,159)].
% 0.76/1.17 258 v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v4_group_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v1_rmod_5(k8_rlvect_2(A,B,C),c12,A) | k2_group_1(c12) = k1_rlvect_1(c12) | k1_rlvect_1(A) != C. [resolve(106,j,105,a)].
% 0.76/1.17 259 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v1_rmod_5(k8_rlvect_2(A,B,C),c12,A) | k1_rlvect_1(A) != C. [copy(258),unit_del(a,154),unit_del(b,130),unit_del(c,131),unit_del(d,132),unit_del(e,133),unit_del(f,134),unit_del(g,135),unit_del(h,136),unit_del(i,137),unit_del(t,159)].
% 0.76/1.17 261 l2_struct_0(c12). [resolve(107,a,105,a)].
% 0.76/1.17 421 l2_struct_0(c13). [resolve(237,a,144,a),unit_del(b,261)].
% 0.76/1.17 447 -m1_subset_1(k1_rlvect_1(c13),u1_struct_0(c13)) | v1_rmod_5(k8_rlvect_2(c13,c14,k1_rlvect_1(c13)),c12,c13). [resolve(256,j,150,b),xx(j),unit_del(a,155),unit_del(b,138),unit_del(c,139),unit_del(d,140),unit_del(e,141),unit_del(f,143),unit_del(g,144),unit_del(i,146)].
% 0.76/1.17 521 m1_subset_1(k1_rlvect_1(c13),u1_struct_0(c13)). [resolve(421,a,166,a)].
% 0.76/1.17 523 v1_rmod_5(k8_rlvect_2(c13,c14,k1_rlvect_1(c13)),c12,c13). [back_unit_del(447),unit_del(a,521)].
% 0.76/1.17 1702 $F. [resolve(523,a,259,j),xx(j),unit_del(a,155),unit_del(b,138),unit_del(c,139),unit_del(d,140),unit_del(e,141),unit_del(f,143),unit_del(g,144),unit_del(h,146),unit_del(i,521)].
% 0.76/1.17
% 0.76/1.17 % SZS output end Refutation
% 0.76/1.17 ============================== end of proof ==========================
% 0.76/1.17
% 0.76/1.17 ============================== STATISTICS ============================
% 0.76/1.17
% 0.76/1.17 Given=664. Generated=1964. Kept=1557. proofs=1.
% 0.76/1.17 Usable=660. Sos=829. Demods=53. Limbo=0, Disabled=310. Hints=0.
% 0.76/1.17 Megabytes=1.64.
% 0.76/1.17 User_CPU=0.17, System_CPU=0.00, Wall_clock=0.
% 0.76/1.17
% 0.76/1.17 ============================== end of statistics =====================
% 0.76/1.17
% 0.76/1.17 ============================== end of search =========================
% 0.76/1.17
% 0.76/1.17 THEOREM PROVED
% 0.76/1.17 % SZS status Theorem
% 0.76/1.17
% 0.76/1.17 Exiting with 1 proof.
% 0.76/1.17
% 0.76/1.17 Process 25944 exit (max_proofs) Thu Jun 9 06:24:48 2022
% 0.76/1.17 Prover9 interrupted
%------------------------------------------------------------------------------