TSTP Solution File: KLE043+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE043+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 : 300s
% DateTime : Thu Aug 31 05:27:02 EDT 2023
% Result : Theorem 1.25s 1.44s
% Output : Proof 1.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KLE043+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 11:42:44 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 1.25/1.44 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.wZbh0TkRFZ/cvc5---1.0.5_4384.p...
% 1.25/1.44 ------- get file name : TPTP file name is KLE043+1
% 1.25/1.44 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4384.smt2...
% 1.25/1.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.25/1.44 % SZS status Theorem for KLE043+1
% 1.25/1.44 % SZS output start Proof for KLE043+1
% 1.25/1.44 (
% 1.25/1.44 (let ((_let_1 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.star X0))) (= (tptp.multiplication _let_1 X1) (tptp.addition X1 (tptp.multiplication (tptp.multiplication X0 _let_1) X1))))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A B) C) A) (tptp.leq (tptp.multiplication C (tptp.star B)) A))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A B) C) B) (tptp.leq (tptp.multiplication (tptp.star A) C) B))))) (let ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_14 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_16 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_18 (tptp.multiplication _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (tptp.multiplication _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (= _let_19 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18)))) (let ((_let_21 (= _let_18 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19)))) (let ((_let_22 (tptp.addition _let_17 tptp.one))) (let ((_let_23 (tptp.addition tptp.one _let_17))) (let ((_let_24 (= _let_23 _let_22))) (let ((_let_25 (tptp.addition _let_23 _let_16))) (let ((_let_26 (= _let_16 _let_25))) (let ((_let_27 (tptp.multiplication _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_28 (tptp.addition tptp.one _let_27))) (let ((_let_29 (tptp.addition _let_28 _let_16))) (let ((_let_30 (= _let_16 _let_29))) (let ((_let_31 (tptp.addition _let_16 _let_28))) (let ((_let_32 (= _let_29 _let_31))) (let ((_let_33 (tptp.addition _let_17 _let_16))) (let ((_let_34 (tptp.addition tptp.one _let_33))) (let ((_let_35 (= _let_25 _let_34))) (let ((_let_36 (= _let_33 (tptp.addition _let_16 _let_17)))) (let ((_let_37 (tptp.addition _let_27 _let_28))) (let ((_let_38 (tptp.addition tptp.one _let_37))) (let ((_let_39 (tptp.addition _let_28 _let_28))) (let ((_let_40 (= _let_39 _let_38))) (let ((_let_41 (= _let_28 _let_39))) (let ((_let_42 (tptp.multiplication _let_16 tptp.one))) (let ((_let_43 (= _let_16 _let_42))) (let ((_let_44 (tptp.multiplication tptp.one _let_16))) (let ((_let_45 (= _let_16 _let_44))) (let ((_let_46 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_27))) (let ((_let_47 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_48 (tptp.addition _let_47 _let_46))) (let ((_let_49 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28))) (let ((_let_50 (= _let_49 _let_48))) (let ((_let_51 (tptp.multiplication _let_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_53 (tptp.addition _let_52 _let_51))) (let ((_let_54 (= (tptp.multiplication _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_53))) (let ((_let_55 (tptp.multiplication _let_33 tptp.one))) (let ((_let_56 (tptp.multiplication tptp.one tptp.one))) (let ((_let_57 (tptp.addition _let_56 _let_55))) (let ((_let_58 (= (tptp.multiplication _let_34 tptp.one) _let_57))) (let ((_let_59 (= _let_16 (tptp.addition _let_42 _let_16)))) (let ((_let_60 (= (tptp.addition _let_16 tptp.one) (tptp.addition tptp.one _let_16)))) (let ((_let_61 (tptp.addition _let_28 _let_17))) (let ((_let_62 (tptp.addition _let_17 _let_28))) (let ((_let_63 (= _let_62 _let_61))) (let ((_let_64 (tptp.addition _let_28 _let_27))) (let ((_let_65 (= _let_37 _let_64))) (let ((_let_66 (tptp.addition _let_44 _let_16))) (let ((_let_67 (= (tptp.addition _let_17 _let_66) (tptp.addition (tptp.addition _let_17 _let_44) _let_16)))) (let ((_let_68 (tptp.addition _let_44 _let_56))) (let ((_let_69 (tptp.addition _let_68 _let_55))) (let ((_let_70 (= (tptp.addition _let_44 _let_57) _let_69))) (let ((_let_71 (tptp.addition _let_22 _let_27))) (let ((_let_72 (= _let_62 _let_71))) (let ((_let_73 (tptp.addition _let_37 _let_16))) (let ((_let_74 (= (tptp.addition tptp.one _let_73) (tptp.addition _let_38 _let_16)))) (let ((_let_75 (= (tptp.addition _let_52 (tptp.addition _let_51 _let_28)) (tptp.addition _let_53 _let_28)))) (let ((_let_76 (tptp.multiplication _let_16 _let_17))) (let ((_let_77 (= _let_76 (tptp.multiplication _let_27 _let_16)))) (let ((_let_78 (tptp.multiplication _let_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_79 (tptp.multiplication _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_80 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_79) _let_78))) (let ((_let_81 (= tptp.one _let_56))) (let ((_let_82 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_47))) (let ((_let_83 (= _let_33 _let_55))) (let ((_let_84 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_52))) (let ((_let_85 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_86 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_85))) (let ((_let_87 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_66) (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_44) _let_17)))) (let ((_let_88 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_37))) (let ((_let_89 (tptp.addition _let_47 _let_88))) (let ((_let_90 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_38) _let_89))) (let ((_let_91 (= (tptp.multiplication _let_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition (tptp.multiplication _let_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_27)))) (let ((_let_92 (tptp.multiplication _let_51 _let_16))) (let ((_let_93 (= (tptp.multiplication _let_53 _let_16) (tptp.addition (tptp.multiplication _let_52 _let_16) _let_92)))) (let ((_let_94 (= (tptp.multiplication _let_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition (tptp.multiplication _let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiplication _let_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_95 (= (tptp.multiplication (tptp.addition tptp.one tptp.one) _let_16) (tptp.addition _let_44 _let_44)))) (let ((_let_96 (= (tptp.multiplication (tptp.addition tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_16) (tptp.addition _let_44 _let_17)))) (let ((_let_97 (= _let_69 (tptp.addition _let_55 _let_68)))) (let ((_let_98 (tptp.addition _let_76 _let_17))) (let ((_let_99 (= _let_98 (tptp.addition _let_17 _let_76)))) (let ((_let_100 (= _let_73 (tptp.addition _let_16 _let_37)))) (let ((_let_101 (= _let_64 (tptp.addition tptp.one (tptp.addition _let_27 _let_27))))) (let ((_let_102 (tptp.addition _let_17 _let_27))) (let ((_let_103 (= (tptp.addition _let_23 _let_27) (tptp.addition tptp.one _let_102)))) (let ((_let_104 (= _let_61 (tptp.addition tptp.one (tptp.addition _let_27 _let_17))))) (let ((_let_105 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_106 (= (tptp.multiplication _let_16 _let_49) (tptp.multiplication _let_27 _let_28)))) (let ((_let_107 (= (tptp.multiplication _let_16 _let_89) (tptp.addition (tptp.multiplication _let_16 _let_47) (tptp.multiplication _let_16 _let_88))))) (let ((_let_108 (= (tptp.addition _let_85 _let_78) (tptp.multiplication (tptp.addition tptp.one _let_49) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_109 (= _let_27 _let_102))) (let ((_let_110 (= _let_28 _let_31))) (let ((_let_111 (= _let_17 _let_98))) (let ((_let_112 (not _let_20))) (let ((_let_113 (_let_2))) (let ((_let_114 (ASSUME :args _let_113))) (let ((_let_115 (_let_12))) (let ((_let_116 (ASSUME :args _let_115))) (let ((_let_117 (_let_15))) (let ((_let_118 (ASSUME :args _let_117))) (let ((_let_119 ((tptp.addition A B)))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.one _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_117)) _let_118 :args (_let_24 false _let_15)))) (let ((_let_121 (tptp.leq _let_23 _let_16))) (let ((_let_122 (= _let_121 _let_26))) (let ((_let_123 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (_let_123))) (let ((_let_126 ((tptp.leq A B)))) (let ((_let_127 (_let_6))) (let ((_let_128 (ASSUME :args _let_127))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args _let_127)) _let_128 :args (_let_121 false _let_6)))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_122)) :args ((or (not _let_121) _let_26 (not _let_122)))) _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_23 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_125)) _let_124 :args (_let_122 false _let_123)) :args (_let_26 false _let_121 false _let_122)))) (let ((_let_131 (tptp.leq _let_28 _let_16))) (let ((_let_132 (= _let_131 _let_30))) (let ((_let_133 (_let_5))) (let ((_let_134 (ASSUME :args _let_133))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_132)) :args ((or (not _let_131) _let_30 (not _let_132)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args _let_133)) _let_134 :args (_let_131 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_28 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_125)) _let_124 :args (_let_132 false _let_123)) :args (_let_30 false _let_131 false _let_132)))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_28 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_117)) _let_118 :args (_let_32 false _let_15)))) (let ((_let_137 (_let_14))) (let ((_let_138 (ASSUME :args _let_137))) (let ((_let_139 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_16 _let_17 tptp.one QUANTIFIERS_INST_E_MATCHING _let_139)) :args _let_137))) _let_138 :args (_let_35 false _let_14)))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_17 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_117)) _let_118 :args (_let_36 false _let_15)))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_28 _let_27 tptp.one QUANTIFIERS_INST_E_MATCHING _let_139)) :args _let_137))) _let_138 :args (_let_40 false _let_14)))) (let ((_let_143 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (_let_143))) (let ((_let_146 ((tptp.addition A A)))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (_let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_145)) _let_144 :args (_let_41 false _let_143)))) (let ((_let_148 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_149 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_150 (_let_148))) (let ((_let_151 ((tptp.multiplication A tptp.one)))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_151)) :args _let_150)) _let_149 :args (_let_43 false _let_148)))) (let ((_let_153 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_154 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_155 (_let_153))) (let ((_let_156 ((tptp.multiplication tptp.one A)))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_156)) :args _let_155)) _let_154 :args (_let_45 false _let_153)))) (let ((_let_158 (_let_9))) (let ((_let_159 (ASSUME :args _let_158))) (let ((_let_160 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one _let_27 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_158)) _let_159 :args (_let_50 false _let_9)))) (let ((_let_162 (_let_8))) (let ((_let_163 (ASSUME :args _let_162))) (let ((_let_164 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_165 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.one _let_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_164)) :args _let_162)) _let_163 :args (_let_54 false _let_8)))) (let ((_let_166 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.one _let_33 tptp.one QUANTIFIERS_INST_E_MATCHING _let_164)) :args _let_162)) _let_163 :args (_let_58 false _let_8)))) (let ((_let_167 (tptp.leq _let_42 _let_16))) (let ((_let_168 (= _let_167 _let_59))) (let ((_let_169 (tptp.leq _let_22 _let_16))) (let ((_let_170 (not _let_169))) (let ((_let_171 (or _let_170 _let_167))) (let ((_let_172 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq (tptp.addition (tptp.multiplication A B) C) B)) (tptp.leq (tptp.multiplication (tptp.star A) C) B))))) (let ((_let_173 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_174 (_let_172))) (let ((_let_175 (tptp.multiplication A B))) (let ((_let_176 ((tptp.addition _let_175 C)))) (let ((_let_177 (and _let_121 _let_24))) (let ((_let_178 (_let_121 _let_24))) (let ((_let_179 (ASSUME :args (_let_121)))) (let ((_let_180 (APPLY_UF tptp.leq))) (let ((_let_181 (REFL :args (_let_16)))) (let ((_let_182 (ASSUME :args (_let_24)))) (let ((_let_183 (SYMM (SYMM _let_182)))) (let ((_let_184 (SYMM _let_183))) (let ((_let_185 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_168)) :args ((or (not _let_167) _let_59 (not _let_168)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_171)) :args ((or _let_170 _let_167 (not _let_171)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_177)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_179 _let_182) (SCOPE (TRUE_ELIM (TRANS (CONG _let_184 _let_181 :args _let_180) (TRUE_INTRO _let_179))) :args _let_178)) :args _let_178)) :args (true _let_177)) _let_129 _let_120 :args (_let_169 false _let_121 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16 tptp.one QUANTIFIERS_INST_E_MATCHING _let_176)) :args _let_174)) _let_173 :args (_let_171 false _let_172)) :args (_let_167 false _let_169 false _let_171)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_42 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_125)) _let_124 :args (_let_168 false _let_123)) :args (_let_59 false _let_167 false _let_168)))) (let ((_let_186 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.one _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_117))) _let_118 :args (_let_60 false _let_15)))) (let ((_let_187 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_27 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_117)) _let_118 :args (_let_65 false _let_15)))) (let ((_let_188 ((tptp.addition A (tptp.addition B C))))) (let ((_let_189 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_16 _let_44 _let_17 QUANTIFIERS_INST_E_MATCHING _let_188)) :args _let_137)) _let_138 :args (_let_67 false _let_14)))) (let ((_let_190 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_55 _let_56 _let_44 QUANTIFIERS_INST_E_MATCHING _let_188)) :args _let_137)) _let_138 :args (_let_70 false _let_14)))) (let ((_let_191 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_27 tptp.one _let_17 QUANTIFIERS_INST_E_MATCHING _let_188)) :args _let_137)) _let_138 :args (_let_72 false _let_14)))) (let ((_let_192 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_16 _let_37 tptp.one QUANTIFIERS_INST_E_MATCHING _let_139)) :args _let_137)) _let_138 :args (_let_74 false _let_14)))) (let ((_let_193 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_28 _let_51 _let_52 QUANTIFIERS_INST_E_MATCHING _let_139)) :args _let_137)) _let_138 :args (_let_75 false _let_14)))) (let ((_let_194 ((tptp.multiplication A (tptp.multiplication B C))))) (let ((_let_195 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16 QUANTIFIERS_INST_E_MATCHING _let_194)) :args _let_115)) _let_116 :args (_let_77 false _let_12)))) (let ((_let_196 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_151)) :args _let_150)) _let_149 :args (_let_81 false _let_148)))) (let ((_let_197 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_151)) :args _let_150)) _let_149 :args (_let_82 false _let_148)))) (let ((_let_198 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_151)) :args _let_150)) _let_149 :args (_let_83 false _let_148)))) (let ((_let_199 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_156)) :args _let_155)) _let_154 :args (_let_84 false _let_153)))) (let ((_let_200 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (_let_44 _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_164)) :args _let_162)) _let_163 :args (_let_91 false _let_8)))) (let ((_let_201 ((tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) (let ((_let_202 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16 QUANTIFIERS_INST_E_MATCHING _let_201)) :args _let_162)) _let_163 :args (_let_96 false _let_8)))) (let ((_let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_68 _let_55 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_117)) _let_118 :args (_let_97 false _let_15)))) (let ((_let_204 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_37 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_117)) _let_118 :args (_let_100 false _let_15)))) (let ((_let_205 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_27 _let_27 tptp.one QUANTIFIERS_INST_E_MATCHING _let_188)) :args _let_137))) _let_138 :args (_let_101 false _let_14)))) (let ((_let_206 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_27 _let_17 tptp.one QUANTIFIERS_INST_E_MATCHING _let_139)) :args _let_137))) _let_138 :args (_let_103 false _let_14)))) (let ((_let_207 (tptp.leq _let_17 _let_27))) (let ((_let_208 (= _let_207 _let_109))) (let ((_let_209 (tptp.multiplication _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_210 (tptp.leq (tptp.addition _let_209 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_27))) (let ((_let_211 (not _let_210))) (let ((_let_212 (or _let_211 _let_207))) (let ((_let_213 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq (tptp.addition (tptp.multiplication A B) C) A)) (tptp.leq (tptp.multiplication C (tptp.star B)) A))))) (let ((_let_214 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_215 (_let_213))) (let ((_let_216 (tptp.multiplication A B))) (let ((_let_217 (tptp.addition _let_52 _let_209))) (let ((_let_218 (= _let_217 (tptp.addition _let_209 _let_52)))) (let ((_let_219 (tptp.multiplication _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_220 (tptp.leq _let_219 _let_27))) (let ((_let_221 (= _let_219 _let_217))) (let ((_let_222 (tptp.addition _let_219 _let_27))) (let ((_let_223 (= _let_27 _let_222))) (let ((_let_224 (= _let_220 _let_223))) (let ((_let_225 ((tptp.addition A B)))) (let ((_let_226 (= (tptp.multiplication _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_222))) (let ((_let_227 (and _let_30 _let_226))) (let ((_let_228 (ASSUME :args (_let_226)))) (let ((_let_229 (APPLY_UF tptp.multiplication))) (let ((_let_230 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_231 (ASSUME :args (_let_30)))) (let ((_let_232 (SYMM _let_231))) (let ((_let_233 (SYMM _let_232))) (let ((_let_234 (not _let_84))) (let ((_let_235 (and _let_221 _let_220 _let_218 _let_84))) (let ((_let_236 (ASSUME :args (_let_220)))) (let ((_let_237 (REFL :args (_let_27)))) (let ((_let_238 (ASSUME :args (_let_221)))) (let ((_let_239 (ASSUME :args (_let_218)))) (let ((_let_240 (APPLY_UF tptp.addition))) (let ((_let_241 (ASSUME :args (_let_84)))) (let ((_let_242 (SYMM _let_241))) (let ((_let_243 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_208)) :args ((or (not _let_207) _let_109 (not _let_208)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_212)) :args ((or _let_211 _let_207 (not _let_212)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_235)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_236 _let_238 _let_239 _let_241) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (CONG (REFL :args (_let_209)) (SYMM _let_242) :args _let_240) (SYMM _let_239) (SYMM _let_238)) _let_237 :args _let_180) (TRUE_INTRO _let_236))) :args (_let_220 _let_221 _let_218 _let_84))) :args (_let_221 _let_220 _let_218 _let_84))) :args (true _let_235)) :args ((or (not _let_221) (not _let_220) _let_210 (not _let_218) _let_234))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.one _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_164)) :args _let_162)) _let_163 :args (_let_221 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_224)) :args ((or _let_220 (not _let_223) (not _let_224)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_227)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_228 _let_231) (SCOPE (TRANS (CONG _let_233 _let_230 :args _let_229) (SYMM (SYMM _let_228))) :args (_let_226 _let_30))) :args (_let_30 _let_226))) :args (true _let_227)) _let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (_let_28 _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_164)) :args _let_162)) _let_163 :args (_let_226 false _let_8)) :args (_let_223 false _let_30 false _let_226)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_219 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_225)) :args _let_125)) _let_124 :args (_let_224 false _let_123)) :args (_let_220 false _let_223 false _let_224)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_52 _let_209 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_117)) _let_118 :args (_let_218 false _let_15)) _let_199 :args (_let_210 false _let_221 false _let_220 false _let_218 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_214 :args (_let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication C (tptp.star B)) _let_216))) :args _let_215)) _let_214 :args (_let_212 false _let_213)) :args (_let_207 false _let_210 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_17 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_125)) _let_124 :args (_let_208 false _let_123)) :args (_let_109 false _let_207 false _let_208)))) (let ((_let_244 (tptp.leq _let_16 _let_28))) (let ((_let_245 (= _let_244 _let_110))) (let ((_let_246 (tptp.leq _let_42 _let_28))) (let ((_let_247 (tptp.addition _let_49 tptp.one))) (let ((_let_248 (tptp.leq _let_247 _let_28))) (let ((_let_249 (not _let_248))) (let ((_let_250 (or _let_249 _let_246))) (let ((_let_251 (= _let_28 (tptp.addition _let_247 _let_28)))) (let ((_let_252 (= _let_248 _let_251))) (let ((_let_253 (tptp.addition _let_27 _let_23))) (let ((_let_254 (tptp.addition tptp.one _let_253))) (let ((_let_255 (= (tptp.addition _let_49 _let_254) (tptp.addition _let_247 _let_253)))) (let ((_let_256 (tptp.addition _let_28 tptp.one))) (let ((_let_257 (tptp.addition _let_256 _let_17))) (let ((_let_258 (= _let_257 (tptp.addition _let_17 _let_256)))) (let ((_let_259 (= _let_71 (tptp.addition _let_27 _let_22)))) (let ((_let_260 (tptp.addition _let_28 _let_23))) (let ((_let_261 (= _let_260 _let_254))) (let ((_let_262 (tptp.addition _let_49 _let_22))) (let ((_let_263 (= (tptp.addition _let_49 (tptp.addition _let_22 _let_28)) (tptp.addition _let_262 _let_28)))) (let ((_let_264 (= _let_260 _let_257))) (let ((_let_265 (= (tptp.addition _let_39 tptp.one) (tptp.addition tptp.one _let_39)))) (let ((_let_266 (tptp.addition _let_49 _let_17))) (let ((_let_267 (= _let_262 (tptp.addition _let_266 tptp.one)))) (let ((_let_268 (= (tptp.addition _let_23 _let_28) _let_260))) (let ((_let_269 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_29) _let_266))) (let ((_let_270 (= _let_28 (tptp.addition _let_27 tptp.one)))) (let ((_let_271 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28 _let_16 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_158)) _let_159 :args (_let_269 false _let_9)))) (let ((_let_272 (not _let_109))) (let ((_let_273 (not _let_103))) (let ((_let_274 (not _let_101))) (let ((_let_275 (not _let_91))) (let ((_let_276 (not _let_75))) (let ((_let_277 (not _let_72))) (let ((_let_278 (not _let_65))) (let ((_let_279 (not _let_59))) (let ((_let_280 (not _let_54))) (let ((_let_281 (not _let_45))) (let ((_let_282 (not _let_43))) (let ((_let_283 (not _let_41))) (let ((_let_284 (not _let_40))) (let ((_let_285 (not _let_269))) (let ((_let_286 (not _let_35))) (let ((_let_287 (not _let_30))) (let ((_let_288 (not _let_26))) (let ((_let_289 (not _let_24))) (let ((_let_290 (and _let_24 _let_270 _let_26 _let_30 _let_35 _let_269 _let_268 _let_267 _let_40 _let_41 _let_43 _let_45 _let_54 _let_59 _let_265 _let_65 _let_72 _let_264 _let_263 _let_75 _let_261 _let_91 _let_259 _let_258 _let_101 _let_255 _let_103 _let_109))) (let ((_let_291 (ASSUME :args (_let_109)))) (let ((_let_292 (SYMM (SYMM _let_291)))) (let ((_let_293 (REFL :args (tptp.one)))) (let ((_let_294 (CONG _let_293 (SYMM _let_292) :args _let_240))) (let ((_let_295 (ASSUME :args (_let_103)))) (let ((_let_296 (SYMM _let_295))) (let ((_let_297 (CONG _let_184 _let_237 :args _let_240))) (let ((_let_298 (ASSUME :args (_let_259)))) (let ((_let_299 (ASSUME :args (_let_255)))) (let ((_let_300 (ASSUME :args (_let_261)))) (let ((_let_301 (ASSUME :args (_let_268)))) (let ((_let_302 (SYMM _let_301))) (let ((_let_303 (REFL :args (_let_28)))) (let ((_let_304 (REFL :args (_let_49)))) (let ((_let_305 (ASSUME :args (_let_263)))) (let ((_let_306 (ASSUME :args (_let_267)))) (let ((_let_307 (ASSUME :args (_let_269)))) (let ((_let_308 (SYMM _let_307))) (let ((_let_309 (TRANS (CONG _let_230 _let_233 :args _let_229) (SYMM _let_308)))) (let ((_let_310 (ASSUME :args (_let_264)))) (let ((_let_311 (ASSUME :args (_let_258)))) (let ((_let_312 (ASSUME :args (_let_41)))) (let ((_let_313 (SYMM (SYMM _let_312)))) (let ((_let_314 (SYMM _let_313))) (let ((_let_315 (ASSUME :args (_let_265)))) (let ((_let_316 (ASSUME :args (_let_270)))) (let ((_let_317 (ASSUME :args (_let_59)))) (let ((_let_318 (SYMM _let_317))) (let ((_let_319 (ASSUME :args (_let_43)))) (let ((_let_320 (SYMM _let_319))) (let ((_let_321 (SYMM _let_320))) (let ((_let_322 (ASSUME :args (_let_45)))) (let ((_let_323 (SYMM _let_322))) (let ((_let_324 (TRANS _let_323 _let_321))) (let ((_let_325 (TRANS (CONG _let_324 _let_181 :args _let_240) _let_318))) (let ((_let_326 (ASSUME :args (_let_91)))) (let ((_let_327 (SYMM _let_326))) (let ((_let_328 (CONG _let_293 (TRANS (CONG (CONG _let_322 _let_230 :args _let_229) _let_237 :args _let_240) _let_327 (CONG _let_325 _let_230 :args _let_229)) :args _let_240))) (let ((_let_329 (ASSUME :args (_let_101)))) (let ((_let_330 (SYMM _let_329))) (let ((_let_331 (SYMM _let_330))) (let ((_let_332 (ASSUME :args (_let_65)))) (let ((_let_333 (SYMM _let_332))) (let ((_let_334 (SYMM _let_333))) (let ((_let_335 (ASSUME :args (_let_26)))) (let ((_let_336 (SYMM _let_335))) (let ((_let_337 (ASSUME :args (_let_35)))) (let ((_let_338 (SYMM _let_337))) (let ((_let_339 (TRANS _let_338 _let_336))) (let ((_let_340 (ASSUME :args (_let_54)))) (let ((_let_341 (TRANS (SYMM _let_340) (CONG _let_339 _let_230 :args _let_229)))) (let ((_let_342 (CONG _let_341 _let_303 :args _let_240))) (let ((_let_343 (ASSUME :args (_let_75)))) (let ((_let_344 (SYMM _let_343))) (let ((_let_345 (SYMM _let_344))) (let ((_let_346 (SYMM _let_342))) (let ((_let_347 (ASSUME :args (_let_40)))) (let ((_let_348 (SYMM (SYMM _let_347)))) (let ((_let_349 (REFL :args (_let_17)))) (let ((_let_350 (ASSUME :args (_let_72)))) (let ((_let_351 (SYMM _let_350))) (let ((_let_352 (and _let_43 _let_246))) (let ((_let_353 (ASSUME :args (_let_246)))) (let ((_let_354 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_245)) :args ((or _let_110 (not _let_244) (not _let_245)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_352)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_353 _let_319) (SCOPE (TRUE_ELIM (TRANS (CONG _let_321 _let_303 :args _let_180) (TRUE_INTRO _let_353))) :args (_let_246 _let_43))) :args (_let_43 _let_246))) :args (true _let_352)) :args ((or _let_244 _let_282 (not _let_246)))) _let_152 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_250)) :args ((or _let_249 _let_246 (not _let_250)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_252)) :args ((or _let_248 (not _let_251) (not _let_252)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_290)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_291 _let_295 _let_329 _let_298 _let_310 _let_350 _let_332 _let_182 _let_299 _let_311 _let_300 _let_316 _let_343 _let_312 _let_335 _let_337 _let_322 _let_317 _let_231 _let_315 _let_307 _let_301 _let_306 _let_319 _let_305 _let_347 _let_326 _let_340) (SCOPE (TRANS (SYMM _let_294) _let_296 (SYMM _let_297) _let_351 (CONG _let_349 (TRANS _let_313 _let_348 (CONG _let_293 (TRANS _let_346 _let_344) :args _let_240) (CONG _let_293 (TRANS _let_345 _let_342 _let_334 _let_331 _let_328 _let_316) :args _let_240) (CONG _let_293 (TRANS (SYMM _let_316) _let_313) :args _let_240) (SYMM _let_315) (CONG _let_314 _let_293 :args _let_240)) :args _let_240) (SYMM _let_311) (SYMM _let_310) _let_302 (CONG (TRANS _let_183 (CONG _let_309 _let_293 :args _let_240) (SYMM _let_306)) _let_303 :args _let_240) (SYMM _let_305) (CONG _let_304 (TRANS (CONG _let_184 _let_303 :args _let_240) (SYMM _let_302) (SYMM (SYMM _let_300))) :args _let_240) (SYMM (SYMM _let_299)) (CONG (REFL :args (_let_247)) (TRANS (CONG _let_237 _let_183 :args _let_240) (SYMM _let_298) _let_297 (SYMM _let_296) _let_294) :args _let_240)) :args (_let_109 _let_103 _let_101 _let_259 _let_264 _let_72 _let_65 _let_24 _let_255 _let_258 _let_261 _let_270 _let_75 _let_41 _let_26 _let_35 _let_45 _let_59 _let_30 _let_265 _let_269 _let_268 _let_267 _let_43 _let_263 _let_40 _let_91 _let_54))) :args (_let_24 _let_270 _let_26 _let_30 _let_35 _let_269 _let_268 _let_267 _let_40 _let_41 _let_43 _let_45 _let_54 _let_59 _let_265 _let_65 _let_72 _let_264 _let_263 _let_75 _let_261 _let_91 _let_259 _let_258 _let_101 _let_255 _let_103 _let_109))) :args (true _let_290)) :args ((or _let_289 (not _let_270) _let_288 _let_287 _let_286 _let_285 (not _let_268) (not _let_267) _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_251 (not _let_265) _let_278 _let_277 (not _let_264) (not _let_263) _let_276 (not _let_261) _let_275 (not _let_259) (not _let_258) _let_274 (not _let_255) _let_273 _let_272))) _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.one _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_117)) _let_118 :args (_let_270 false _let_15)) _let_130 _let_135 _let_140 _let_271 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_23 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_117)) _let_118 :args (_let_268 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (tptp.one _let_17 _let_49 QUANTIFIERS_INST_E_MATCHING _let_139)) :args _let_137)) _let_138 :args (_let_267 false _let_14)) _let_142 _let_147 _let_152 _let_157 _let_165 _let_185 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_39 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_117)) _let_118 :args (_let_265 false _let_15)) _let_187 _let_191 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_17 tptp.one _let_28 QUANTIFIERS_INST_E_MATCHING _let_188)) :args _let_137)) _let_138 :args (_let_264 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_28 _let_22 _let_49 QUANTIFIERS_INST_E_MATCHING _let_139)) :args _let_137)) _let_138 :args (_let_263 false _let_14)) _let_193 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_23 _let_27 tptp.one QUANTIFIERS_INST_E_MATCHING _let_139)) :args _let_137))) _let_138 :args (_let_261 false _let_14)) _let_200 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_22 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_117)) _let_118 :args (_let_259 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_256 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_117)) _let_118 :args (_let_258 false _let_15)) _let_205 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_253 tptp.one _let_49 QUANTIFIERS_INST_E_MATCHING _let_188)) :args _let_137)) _let_138 :args (_let_255 false _let_14)) _let_206 _let_243 :args (_let_251 false _let_24 false _let_270 false _let_26 false _let_30 false _let_35 false _let_269 false _let_268 false _let_267 false _let_40 false _let_41 false _let_43 false _let_45 false _let_54 false _let_59 false _let_265 false _let_65 false _let_72 false _let_264 false _let_263 false _let_75 false _let_261 false _let_91 false _let_259 false _let_258 false _let_101 false _let_255 false _let_103 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_247 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_125)) _let_124 :args (_let_252 false _let_123)) :args (_let_248 false _let_251 false _let_252)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28 tptp.one QUANTIFIERS_INST_E_MATCHING (_let_175 (tptp.multiplication (tptp.star A) C)))) :args _let_174)) _let_173 :args (_let_250 false _let_172)) :args (_let_246 false _let_248 false _let_250)) :args (_let_244 false _let_43 false _let_246)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_16 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_225)) :args _let_125)) _let_124 :args (_let_245 false _let_123)) :args (_let_110 false _let_244 false _let_245)))) (let ((_let_355 (tptp.leq _let_76 _let_17))) (let ((_let_356 (= _let_355 _let_111))) (let ((_let_357 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_33))) (let ((_let_358 (tptp.leq (tptp.multiplication _let_16 _let_357) _let_49))) (let ((_let_359 (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_49) _let_357))) (let ((_let_360 (tptp.addition _let_49 _let_33))) (let ((_let_361 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_360) _let_359))) (let ((_let_362 (= _let_360 (tptp.addition _let_266 _let_16)))) (let ((_let_363 (tptp.leq _let_359 _let_49))) (let ((_let_364 (not _let_363))) (let ((_let_365 (or _let_364 _let_358))) (let ((_let_366 (tptp.leq _let_17 _let_17))) (let ((_let_367 (tptp.multiplication _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_368 (tptp.leq (tptp.addition _let_367 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_17))) (let ((_let_369 (not _let_368))) (let ((_let_370 (or _let_369 _let_366))) (let ((_let_371 (= _let_46 _let_367))) (let ((_let_372 (= _let_48 (tptp.addition _let_46 _let_47)))) (let ((_let_373 (tptp.leq _let_49 _let_17))) (let ((_let_374 (= _let_17 _let_266))) (let ((_let_375 (= _let_373 _let_374))) (let ((_let_376 (and _let_30 _let_269))) (let ((_let_377 (and _let_50 _let_373 _let_372 _let_371 _let_82))) (let ((_let_378 (ASSUME :args (_let_373)))) (let ((_let_379 (ASSUME :args (_let_50)))) (let ((_let_380 (SYMM _let_379))) (let ((_let_381 (ASSUME :args (_let_372)))) (let ((_let_382 (ASSUME :args (_let_82)))) (let ((_let_383 (SYMM (SYMM _let_382)))) (let ((_let_384 (ASSUME :args (_let_371)))) (let ((_let_385 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_49 _let_33 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_158)) _let_159 :args (_let_361 false _let_9)))) (let ((_let_386 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_16 _let_17 _let_49 QUANTIFIERS_INST_E_MATCHING _let_139)) :args _let_137)) _let_138 :args (_let_362 false _let_14)))) (let ((_let_387 (not _let_100))) (let ((_let_388 (not _let_97))) (let ((_let_389 (not _let_96))) (let ((_let_390 (not _let_361))) (let ((_let_391 (not _let_83))) (let ((_let_392 (not _let_81))) (let ((_let_393 (not _let_74))) (let ((_let_394 (not _let_70))) (let ((_let_395 (not _let_67))) (let ((_let_396 (not _let_60))) (let ((_let_397 (not _let_110))) (let ((_let_398 (not _let_58))) (let ((_let_399 (not _let_362))) (let ((_let_400 (not _let_36))) (let ((_let_401 (not _let_32))) (let ((_let_402 (and _let_26 _let_30 _let_32 _let_35 _let_269 _let_36 _let_362 _let_40 _let_41 _let_43 _let_45 _let_58 _let_59 _let_110 _let_60 _let_65 _let_67 _let_70 _let_74 _let_81 _let_83 _let_84 _let_361 _let_91 _let_96 _let_97 _let_100 _let_101 _let_366))) (let ((_let_403 (ASSUME :args (_let_366)))) (let ((_let_404 (ASSUME :args (_let_32)))) (let ((_let_405 (SYMM _let_404))) (let ((_let_406 (ASSUME :args (_let_110)))) (let ((_let_407 (SYMM _let_406))) (let ((_let_408 (SYMM _let_407))) (let ((_let_409 (TRANS _let_408 _let_405 _let_232))) (let ((_let_410 (CONG _let_339 _let_293 :args _let_229))) (let ((_let_411 (ASSUME :args (_let_58)))) (let ((_let_412 (SYMM _let_411))) (let ((_let_413 (ASSUME :args (_let_70)))) (let ((_let_414 (SYMM _let_413))) (let ((_let_415 (ASSUME :args (_let_97)))) (let ((_let_416 (SYMM _let_415))) (let ((_let_417 (ASSUME :args (_let_81)))) (let ((_let_418 (SYMM _let_417))) (let ((_let_419 (ASSUME :args (_let_60)))) (let ((_let_420 (SYMM _let_419))) (let ((_let_421 (ASSUME :args (_let_100)))) (let ((_let_422 (SYMM (SYMM _let_421)))) (let ((_let_423 (CONG _let_293 (TRANS _let_422 (CONG _let_181 (TRANS _let_334 _let_331 _let_328) :args _let_240) _let_405 _let_232) :args _let_240))) (let ((_let_424 (ASSUME :args (_let_74)))) (let ((_let_425 (SYMM _let_424))) (let ((_let_426 (TRANS _let_313 _let_348))) (let ((_let_427 (CONG _let_426 _let_181 :args _let_240))) (let ((_let_428 (ASSUME :args (_let_83)))) (let ((_let_429 (SYMM (SYMM _let_428)))) (let ((_let_430 (CONG (CONG _let_349 _let_323 :args _let_240) _let_181 :args _let_240))) (let ((_let_431 (ASSUME :args (_let_67)))) (let ((_let_432 (SYMM (SYMM _let_431)))) (let ((_let_433 (SYMM _let_325))) (let ((_let_434 (CONG _let_349 _let_433 :args _let_240))) (let ((_let_435 (ASSUME :args (_let_36)))) (let ((_let_436 (SYMM _let_435))) (let ((_let_437 (CONG _let_323 _let_349 :args _let_240))) (let ((_let_438 (ASSUME :args (_let_96)))) (let ((_let_439 (SYMM _let_438))) (let ((_let_440 (SYMM _let_439))) (let ((_let_441 (SYMM _let_437))) (let ((_let_442 (TRANS _let_435 _let_441 _let_439))) (let ((_let_443 (ASSUME :args (_let_362)))) (let ((_let_444 (CONG _let_230 (TRANS (SYMM (SYMM _let_443)) (CONG (TRANS _let_308 (CONG _let_230 _let_232 :args _let_229)) _let_181 :args _let_240)) :args _let_229))) (let ((_let_445 (ASSUME :args (_let_361)))) (let ((_let_446 (SYMM _let_445))) (let ((_let_447 (SYMM _let_444))) (let ((_let_448 (TRANS _let_447 _let_445))) (let ((_let_449 (not _let_77))) (let ((_let_450 (and _let_26 _let_30 _let_32 _let_35 _let_269 _let_36 _let_362 _let_40 _let_41 _let_43 _let_45 _let_58 _let_59 _let_110 _let_60 _let_65 _let_67 _let_70 _let_74 _let_77 _let_81 _let_83 _let_84 _let_361 _let_91 _let_96 _let_97 _let_100 _let_101 _let_358))) (let ((_let_451 (ASSUME :args (_let_358)))) (let ((_let_452 (CONG _let_242 _let_303 :args _let_229))) (let ((_let_453 (SYMM _let_405))) (let ((_let_454 (ASSUME :args (_let_77)))) (let ((_let_455 (SYMM _let_454))) (let ((_let_456 (and _let_21 _let_24 _let_26 _let_30 _let_32 _let_35 _let_36 _let_40 _let_41 _let_43 _let_45 _let_50 _let_54 _let_58 _let_59 _let_110 _let_60 _let_63 _let_65 _let_67 _let_70 _let_72 _let_74 _let_75 _let_77 _let_80 _let_81 _let_82 _let_83 _let_84 _let_86 _let_87 _let_90 _let_91 _let_93 _let_94 _let_95 _let_96 _let_97 _let_99 _let_100 _let_101 _let_103 _let_104 _let_105 _let_106 _let_107 _let_108 _let_109 _let_111))) (let ((_let_457 (ASSUME :args (_let_21)))) (let ((_let_458 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_459 (ASSUME :args (_let_105)))) (let ((_let_460 (ASSUME :args (_let_80)))) (let ((_let_461 (CONG _let_380 _let_458 :args _let_229))) (let ((_let_462 (ASSUME :args (_let_94)))) (let ((_let_463 (ASSUME :args (_let_86)))) (let ((_let_464 (ASSUME :args (_let_108)))) (let ((_let_465 (ASSUME :args (_let_111)))) (let ((_let_466 (ASSUME :args (_let_99)))) (let ((_let_467 (CONG _let_341 _let_181 :args _let_229))) (let ((_let_468 (ASSUME :args (_let_93)))) (let ((_let_469 (SYMM _let_468))) (let ((_let_470 (REFL :args (_let_92)))) (let ((_let_471 (CONG (CONG _let_241 _let_181 :args _let_229) _let_470 :args _let_240))) (let ((_let_472 (CONG _let_230 _let_323 :args _let_229))) (let ((_let_473 (CONG _let_472 (TRANS _let_471 _let_469 _let_467 _let_455) :args _let_240))) (let ((_let_474 (SYMM _let_471))) (let ((_let_475 (SYMM _let_467))) (let ((_let_476 (ASSUME :args (_let_95)))) (let ((_let_477 (TRANS (SYMM (SYMM _let_476)) (CONG _let_324 _let_323 :args _let_240) _let_318))) (let ((_let_478 (ASSUME :args (_let_87)))) (let ((_let_479 (TRANS (SYMM _let_478) (CONG _let_230 _let_325 :args _let_229)))) (let ((_let_480 (CONG (TRANS _let_479 (SYMM _let_472)) (TRANS (CONG (REFL :args (_let_51)) (SYMM _let_477) :args _let_229) (CONG (CONG (TRANS _let_442 (TRANS _let_440 _let_437 _let_436 _let_434 _let_432 _let_430 (CONG _let_429 (TRANS _let_231 _let_427 _let_425 _let_423 _let_420 (CONG _let_322 _let_417 :args _let_240)) :args _let_240) _let_416 _let_414 (CONG _let_324 (TRANS _let_412 _let_410 _let_320) :args _let_240) _let_318)) _let_230 :args _let_229) _let_477 :args _let_229) _let_475 _let_468 _let_474) :args _let_240))) (let ((_let_481 (CONG (SYMM _let_479) _let_470 :args _let_240))) (let ((_let_482 (CONG _let_237 _let_409 :args _let_229))) (let ((_let_483 (ASSUME :args (_let_106)))) (let ((_let_484 (SYMM _let_483))) (let ((_let_485 (ASSUME :args (_let_90)))) (let ((_let_486 (ASSUME :args (_let_107)))) (let ((_let_487 (ASSUME :args (_let_104)))) (let ((_let_488 (ASSUME :args (_let_63)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_456)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_476 _let_431 _let_465 _let_464 _let_486 _let_295 _let_329 _let_483 _let_421 _let_406 _let_466 _let_312 _let_415 _let_459 _let_340 _let_326 _let_411 _let_485 _let_347 _let_438 _let_462 _let_343 _let_435 _let_413 _let_231 _let_417 _let_428 _let_317 _let_337 _let_457 _let_404 _let_319 _let_335 _let_182 _let_419 _let_460 _let_488 _let_332 _let_487 _let_350 _let_291 _let_379 _let_424 _let_322 _let_454 _let_478 _let_241 _let_463 _let_382 _let_468) (SCOPE (TRANS (CONG (TRANS (TRANS _let_231 _let_404 _let_407 (CONG _let_293 _let_292 :args _let_240) _let_296 (CONG _let_183 _let_237 :args _let_240) _let_351 (SYMM (SYMM _let_488)) (SYMM (SYMM _let_487)) (CONG _let_293 (TRANS (CONG (CONG _let_181 _let_383 :args _let_229) (TRANS _let_465 _let_466 (SYMM _let_473) (SYMM _let_480) (SYMM _let_481) _let_471 _let_469 _let_467 (SYMM _let_482) _let_484 (CONG _let_181 (TRANS (CONG _let_230 (TRANS (SYMM _let_328) _let_330 _let_333 _let_346 _let_344) :args _let_229) (CONG _let_230 (TRANS _let_345 _let_342) :args _let_229)) :args _let_229)) :args _let_240) (SYMM _let_486) (CONG _let_181 (TRANS (SYMM _let_485) (CONG _let_230 (SYMM _let_426) :args _let_229)) :args _let_229) (SYMM _let_484) _let_482 _let_475 _let_468 _let_474 _let_481 _let_480 _let_473 (SYMM _let_466) (SYMM _let_465)) :args _let_240)) (TRANS (CONG _let_417 (TRANS (CONG _let_241 (SYMM _let_409) :args _let_229) _let_452) :args _let_240) (CONG _let_418 _let_304 :args _let_240))) _let_458 :args _let_229) (SYMM _let_464) (CONG (SYMM _let_463) (REFL :args (_let_78)) :args _let_240) (CONG _let_458 (TRANS (SYMM _let_461) _let_462) :args _let_240) (CONG _let_458 (TRANS (SYMM _let_462) _let_461 (SYMM _let_460) (CONG _let_459 (REFL :args (_let_79)) :args _let_229) (CONG (SYMM _let_459) (CONG _let_409 _let_458 :args _let_229) :args _let_229) (SYMM _let_457)) :args _let_240)) :args (_let_95 _let_67 _let_111 _let_108 _let_107 _let_103 _let_101 _let_106 _let_100 _let_110 _let_99 _let_41 _let_97 _let_105 _let_54 _let_91 _let_58 _let_90 _let_40 _let_96 _let_94 _let_75 _let_36 _let_70 _let_30 _let_81 _let_83 _let_59 _let_35 _let_21 _let_32 _let_43 _let_26 _let_24 _let_60 _let_80 _let_63 _let_65 _let_104 _let_72 _let_109 _let_50 _let_74 _let_45 _let_77 _let_87 _let_84 _let_86 _let_82 _let_93))) :args (_let_21 _let_24 _let_26 _let_30 _let_32 _let_35 _let_36 _let_40 _let_41 _let_43 _let_45 _let_50 _let_54 _let_58 _let_59 _let_110 _let_60 _let_63 _let_65 _let_67 _let_70 _let_72 _let_74 _let_75 _let_77 _let_80 _let_81 _let_82 _let_83 _let_84 _let_86 _let_87 _let_90 _let_91 _let_93 _let_94 _let_95 _let_96 _let_97 _let_99 _let_100 _let_101 _let_103 _let_104 _let_105 _let_106 _let_107 _let_108 _let_109 _let_111))) :args (true _let_456)) :args ((or _let_20 (not _let_21) _let_289 _let_288 _let_287 _let_401 _let_286 _let_400 _let_284 _let_283 _let_282 _let_281 (not _let_50) _let_280 _let_398 _let_279 _let_397 _let_396 (not _let_63) _let_278 _let_395 _let_394 _let_277 _let_393 _let_276 _let_449 (not _let_80) _let_392 (not _let_82) _let_391 _let_234 (not _let_86) (not _let_87) (not _let_90) _let_275 (not _let_93) (not _let_94) (not _let_95) _let_389 _let_388 (not _let_99) _let_387 _let_274 _let_273 (not _let_104) (not _let_105) (not _let_106) (not _let_107) (not _let_108) _let_272 (not _let_111)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_356)) :args ((or _let_111 (not _let_355) (not _let_356)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_450)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_451 _let_231 _let_307 _let_443 _let_445 _let_435 _let_322 _let_438 _let_317 _let_319 _let_431 _let_428 _let_312 _let_347 _let_424 _let_421 _let_332 _let_329 _let_326 _let_404 _let_419 _let_417 _let_415 _let_413 _let_411 _let_337 _let_335 _let_454 _let_241 _let_406) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_454 (TRANS _let_455 (CONG _let_181 (TRANS (CONG _let_230 (TRANS _let_317 (CONG (SYMM _let_324) (TRANS _let_321 (CONG (TRANS (SYMM _let_336) (SYMM _let_338)) _let_293 :args _let_229) (SYMM _let_412)) :args _let_240) (SYMM _let_414) (SYMM _let_416) (CONG (SYMM _let_429) (TRANS (CONG _let_323 _let_418 :args _let_240) (SYMM _let_420) (CONG _let_293 (TRANS _let_233 _let_453 (CONG _let_181 (TRANS (CONG _let_293 (TRANS (CONG _let_433 _let_230 :args _let_229) (SYMM _let_327) (CONG (CONG _let_323 _let_230 :args _let_229) _let_237 :args _let_240)) :args _let_240) (SYMM _let_331) (SYMM _let_334)) :args _let_240) (SYMM _let_422)) :args _let_240) (SYMM _let_425) (CONG (TRANS (SYMM _let_348) _let_314) _let_181 :args _let_240) _let_232) :args _let_240) (CONG (CONG _let_349 _let_322 :args _let_240) _let_181 :args _let_240) (SYMM _let_432) (CONG _let_349 _let_325 :args _let_240) _let_435 _let_441 _let_439) :args _let_229) (CONG _let_230 (TRANS _let_440 _let_437 _let_436) :args _let_229) _let_447 _let_445) :args _let_229) (CONG _let_181 (TRANS _let_446 _let_444) :args _let_229))) (TRANS (CONG _let_241 (TRANS _let_233 _let_453 (SYMM _let_408)) :args _let_229) _let_452) :args _let_180) (TRUE_INTRO _let_451))) :args (_let_358 _let_30 _let_269 _let_362 _let_361 _let_36 _let_45 _let_96 _let_59 _let_43 _let_67 _let_83 _let_41 _let_40 _let_74 _let_100 _let_65 _let_101 _let_91 _let_32 _let_60 _let_81 _let_97 _let_70 _let_58 _let_35 _let_26 _let_77 _let_84 _let_110))) :args (_let_26 _let_30 _let_32 _let_35 _let_269 _let_36 _let_362 _let_40 _let_41 _let_43 _let_45 _let_58 _let_59 _let_110 _let_60 _let_65 _let_67 _let_70 _let_74 _let_77 _let_81 _let_83 _let_84 _let_361 _let_91 _let_96 _let_97 _let_100 _let_101 _let_358))) :args (true _let_450)) :args ((or _let_288 _let_287 _let_401 _let_286 _let_285 _let_400 _let_399 _let_284 _let_283 _let_282 _let_281 _let_398 _let_279 _let_397 _let_396 _let_278 _let_395 _let_394 _let_393 _let_449 _let_392 _let_391 _let_234 _let_390 _let_275 _let_389 _let_355 _let_388 _let_387 _let_274 (not _let_358)))) _let_130 _let_135 _let_136 _let_140 _let_271 _let_141 _let_386 _let_142 _let_147 _let_152 _let_157 _let_166 _let_185 _let_354 _let_186 _let_187 _let_189 _let_190 _let_192 _let_195 _let_196 _let_198 _let_199 _let_385 _let_200 _let_202 _let_203 _let_204 _let_205 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_365)) :args ((or _let_364 _let_358 (not _let_365)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_402)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_403 _let_317 _let_319 _let_322 _let_335 _let_337 _let_411 _let_413 _let_415 _let_428 _let_417 _let_419 _let_231 _let_404 _let_326 _let_329 _let_332 _let_421 _let_424 _let_347 _let_312 _let_431 _let_435 _let_438 _let_307 _let_443 _let_445 _let_241 _let_406) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_448) _let_304 :args _let_180) (CONG (TRANS _let_448 (TRANS _let_446 _let_444 (CONG _let_230 _let_442 :args _let_229) (CONG _let_230 (TRANS _let_440 _let_437 _let_436 _let_434 _let_432 _let_430 (CONG _let_429 (TRANS _let_231 _let_427 _let_425 _let_423 _let_420 (CONG _let_322 (SYMM _let_418) :args _let_240)) :args _let_240) _let_416 _let_414 (CONG _let_324 (TRANS _let_412 _let_410 (SYMM _let_321)) :args _let_240) _let_318) :args _let_229))) (TRANS (CONG _let_241 _let_303 :args _let_229) (CONG _let_242 _let_409 :args _let_229)) :args _let_180) (TRUE_INTRO _let_403))) :args (_let_366 _let_59 _let_43 _let_45 _let_26 _let_35 _let_58 _let_70 _let_97 _let_83 _let_81 _let_60 _let_30 _let_32 _let_91 _let_101 _let_65 _let_100 _let_74 _let_40 _let_41 _let_67 _let_36 _let_96 _let_269 _let_362 _let_361 _let_84 _let_110))) :args (_let_26 _let_30 _let_32 _let_35 _let_269 _let_36 _let_362 _let_40 _let_41 _let_43 _let_45 _let_58 _let_59 _let_110 _let_60 _let_65 _let_67 _let_70 _let_74 _let_81 _let_83 _let_84 _let_361 _let_91 _let_96 _let_97 _let_100 _let_101 _let_366))) :args (true _let_402)) :args ((or _let_288 _let_287 _let_401 _let_286 _let_285 _let_400 _let_399 _let_284 _let_283 _let_282 _let_281 _let_398 _let_279 _let_397 _let_396 _let_278 _let_395 _let_394 _let_393 _let_392 _let_391 _let_234 _let_390 _let_275 _let_389 _let_363 _let_388 _let_387 _let_274 (not _let_366)))) _let_130 _let_135 _let_136 _let_140 _let_271 _let_141 _let_386 _let_142 _let_147 _let_152 _let_157 _let_166 _let_185 _let_354 _let_186 _let_187 _let_189 _let_190 _let_192 _let_196 _let_198 _let_199 _let_385 _let_200 _let_202 _let_203 _let_204 _let_205 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_370)) :args ((or _let_369 _let_366 (not _let_370)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_377)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_378 _let_379 _let_381 _let_382 _let_384) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (CONG (SYMM _let_384) _let_230 :args _let_240) (CONG (REFL :args (_let_46)) _let_383 :args _let_240) (SYMM _let_381) _let_380) _let_349 :args _let_180) (TRUE_INTRO _let_378))) :args (_let_373 _let_50 _let_372 _let_82 _let_371))) :args (_let_50 _let_373 _let_372 _let_371 _let_82))) :args (true _let_377)) _let_161 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_375)) :args ((or _let_373 (not _let_374) (not _let_375)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_376)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_307 _let_231) (SCOPE _let_309 :args (_let_269 _let_30))) :args (_let_30 _let_269))) :args (true _let_376)) _let_135 _let_271 :args (_let_374 false _let_30 false _let_269)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_49 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_225)) :args _let_125)) _let_124 :args (_let_375 false _let_123)) :args (_let_373 false _let_374 false _let_375)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_47 _let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_117)) _let_118 :args (_let_372 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_194)) :args _let_115)) _let_116 :args (_let_371 false _let_12)) _let_197 :args (_let_368 false _let_50 false _let_373 false _let_372 false _let_371 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_214 :args (_let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.addition _let_216 C)))) :args _let_215)) _let_214 :args (_let_370 false _let_213)) :args (_let_366 false _let_368 false _let_370)) :args (_let_363 false _let_26 false _let_30 false _let_32 false _let_35 false _let_269 false _let_36 false _let_362 false _let_40 false _let_41 false _let_43 false _let_45 false _let_58 false _let_59 false _let_110 false _let_60 false _let_65 false _let_67 false _let_70 false _let_74 false _let_81 false _let_83 false _let_84 false _let_361 false _let_91 false _let_96 false _let_97 false _let_100 false _let_101 false _let_366)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_49 _let_357 QUANTIFIERS_INST_E_MATCHING _let_176)) :args _let_174)) _let_173 :args (_let_365 false _let_172)) :args (_let_358 false _let_363 false _let_365)) :args (_let_355 false _let_26 false _let_30 false _let_32 false _let_35 false _let_269 false _let_36 false _let_362 false _let_40 false _let_41 false _let_43 false _let_45 false _let_58 false _let_59 false _let_110 false _let_60 false _let_65 false _let_67 false _let_70 false _let_74 false _let_77 false _let_81 false _let_83 false _let_84 false _let_361 false _let_91 false _let_96 false _let_97 false _let_100 false _let_101 false _let_358)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_76 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_225)) :args _let_125)) _let_124 :args (_let_356 false _let_123)) :args (_let_111 false _let_355 false _let_356)) _let_354 _let_243 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.one _let_49 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_201)) :args _let_162))) _let_163 :args (_let_108 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (_let_16 _let_47 _let_88 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_158)) _let_159 :args (_let_107 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28 QUANTIFIERS_INST_E_MATCHING _let_194)) :args _let_115)) _let_116 :args (_let_106 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_145)) _let_144 :args (_let_105 false _let_143)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_17 _let_27 tptp.one QUANTIFIERS_INST_E_MATCHING _let_139)) :args _let_137))) _let_138 :args (_let_104 false _let_14)) _let_206 _let_205 _let_204 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_76 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_117)) _let_118 :args (_let_99 false _let_15)) _let_203 _let_202 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.one tptp.one _let_16 QUANTIFIERS_INST_E_MATCHING _let_201)) :args _let_162)) _let_163 :args (_let_95 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (_let_47 _let_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_164)) :args _let_162)) _let_163 :args (_let_94 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (_let_52 _let_51 _let_16 QUANTIFIERS_INST_E_MATCHING _let_164)) :args _let_162)) _let_163 :args (_let_93 false _let_8)) _let_200 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one _let_37 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_158)) _let_159 :args (_let_90 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_44 _let_16 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_158)) _let_159 :args (_let_87 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_156)) :args _let_155)) _let_154 :args (_let_86 false _let_153)) _let_199 _let_198 _let_197 _let_196 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_194)) :args _let_115)) _let_116 :args (_let_80 false _let_12)) _let_195 _let_193 _let_192 _let_191 _let_190 _let_189 _let_187 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_17 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_117)) _let_118 :args (_let_63 false _let_15)) _let_186 _let_185 _let_166 _let_165 _let_161 _let_157 _let_152 _let_147 _let_142 _let_141 _let_140 _let_136 _let_135 _let_130 _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_116 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.multiplication A B) C)))) :args _let_115))) _let_116 :args (_let_21 false _let_12)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_114) :args _let_113)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_112)) :args (or))) _let_114 :args (_let_112 true _let_1)) :args (false false _let_111 false _let_110 false _let_109 false _let_108 false _let_107 false _let_106 false _let_105 false _let_104 false _let_103 false _let_101 false _let_100 false _let_99 false _let_97 false _let_96 false _let_95 false _let_94 false _let_93 false _let_91 false _let_90 false _let_87 false _let_86 false _let_84 false _let_83 false _let_82 false _let_81 false _let_80 false _let_77 false _let_75 false _let_74 false _let_72 false _let_70 false _let_67 false _let_65 false _let_63 false _let_60 false _let_59 false _let_58 false _let_54 false _let_50 false _let_45 false _let_43 false _let_41 false _let_40 false _let_36 false _let_35 false _let_32 false _let_30 false _let_26 false _let_24 false _let_21 true _let_20)) :args (_let_15 _let_14 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.25/1.45 )
% 1.25/1.45 % SZS output end Proof for KLE043+1
% 1.25/1.45 % cvc5---1.0.5 exiting
% 1.25/1.45 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------