%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE025+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n013.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 05:26:56 EDT 2023

% Result   : Theorem 8.24s 8.45s
% Output   : Proof 8.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : KLE025+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 11:19:31 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 8.24/8.45  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.yPyB0tbqB9/cvc5---1.0.5_9983.p...
% 8.24/8.45  ------- get file name : TPTP file name is KLE025+2
% 8.24/8.45  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9983.smt2...
% 8.24/8.45  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 8.24/8.45  % SZS status Theorem for KLE025+2
% 8.24/8.45  % SZS output start Proof for KLE025+2
% 8.24/8.45  (
% 8.24/8.45  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.multiplication X1 X0))) (=> (and (tptp.test X1) (tptp.test X2)) (=> (= (tptp.multiplication _let_1 (tptp.c X2)) tptp.zero) (= _let_1 (tptp.multiplication _let_1 X2))))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.multiplication X0 X1)) (tptp.addition (tptp.c X0) (tptp.c X1))))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.addition X0 X1)) (tptp.multiplication (tptp.c X0) (tptp.c X1))))))) (let ((_let_4 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))))) (let ((_let_5 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_6 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))))) (let ((_let_7 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_15 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_16 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_17 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_19 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_20 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (tptp.multiplication _let_20 _let_19))) (let ((_let_22 (= tptp.zero _let_21))) (let ((_let_23 (tptp.multiplication _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_24 (= _let_20 _let_23))) (let ((_let_25 (tptp.c _let_20))) (let ((_let_26 (tptp.c _let_19))) (let ((_let_27 (tptp.addition _let_25 _let_26))) (let ((_let_28 (= _let_27 (tptp.addition _let_26 _let_25)))) (let ((_let_29 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_30 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_31 (tptp.addition _let_30 _let_29))) (let ((_let_32 (tptp.addition _let_29 _let_30))) (let ((_let_33 (= _let_32 _let_31))) (let ((_let_34 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_35 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_36 (= tptp.zero _let_35))) (let ((_let_37 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_38 (= tptp.one _let_37))) (let ((_let_39 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_40 (= _let_37 _let_39))) (let ((_let_41 (= _let_19 (tptp.addition _let_19 tptp.zero)))) (let ((_let_42 (= _let_26 (tptp.addition _let_26 _let_26)))) (let ((_let_43 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_44 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_43) (tptp.addition _let_35 _let_35)))) (let ((_let_45 (= tptp.zero (tptp.multiplication tptp.zero _let_19)))) (let ((_let_46 (tptp.addition _let_26 _let_30))) (let ((_let_47 (= (tptp.addition _let_26 _let_31) (tptp.addition _let_46 _let_29)))) (let ((_let_48 (= _let_35 (tptp.addition _let_35 tptp.zero)))) (let ((_let_49 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_43))) (let ((_let_50 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_51 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_50))) (let ((_let_52 (= (tptp.multiplication _let_19 _let_19) (tptp.c _let_43)))) (let ((_let_53 (= _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_54 (= _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_55 (tptp.addition _let_20 tptp.zero))) (let ((_let_56 (tptp.addition tptp.zero _let_20))) (let ((_let_57 (= _let_56 _let_55))) (let ((_let_58 (tptp.c _let_27))) (let ((_let_59 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_60 (tptp.addition _let_59 _let_58))) (let ((_let_61 (= (tptp.addition _let_58 _let_59) _let_60))) (let ((_let_62 (tptp.addition _let_29 _let_26))) (let ((_let_63 (= (tptp.addition _let_30 _let_62) (tptp.addition _let_62 _let_30)))) (let ((_let_64 (tptp.addition _let_26 _let_29))) (let ((_let_65 (= _let_62 _let_64))) (let ((_let_66 (= (tptp.addition _let_26 _let_32) (tptp.addition _let_64 _let_30)))) (let ((_let_67 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_58)) (tptp.addition _let_43 _let_58)))) (let ((_let_68 (= _let_20 (tptp.addition _let_20 _let_20)))) (let ((_let_69 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_70 (tptp.multiplication _let_20 tptp.zero))) (let ((_let_71 (= _let_70 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_69)))) (let ((_let_72 (= tptp.zero _let_70))) (let ((_let_73 (= tptp.zero _let_69))) (let ((_let_74 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero))) (let ((_let_75 (= (tptp.addition _let_74 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_74)))) (let ((_let_76 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_77 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) _let_76))) (let ((_let_78 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_60) (tptp.addition (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_59) _let_58)))) (let ((_let_79 (= (tptp.addition _let_20 (tptp.addition tptp.zero tptp.zero)) (tptp.addition _let_55 tptp.zero)))) (let ((_let_80 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.zero)))) (let ((_let_81 (= _let_20 _let_55))) (let ((_let_82 (= (tptp.multiplication _let_20 _let_60) (tptp.addition (tptp.multiplication _let_20 _let_59) (tptp.multiplication _let_20 _let_58))))) (let ((_let_83 (tptp.c _let_50))) (let ((_let_84 (= (tptp.multiplication _let_56 (tptp.addition _let_83 _let_19)) (tptp.addition (tptp.multiplication _let_56 _let_83) (tptp.multiplication _let_56 _let_19))))) (let ((_let_85 (= (tptp.c (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_19)) (tptp.multiplication _let_19 _let_26)))) (let ((_let_86 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_19))) (let ((_let_87 (= (tptp.c _let_86) (tptp.addition _let_19 _let_26)))) (let ((_let_88 (= (tptp.c _let_35) (tptp.addition _let_59 _let_19)))) (let ((_let_89 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_59))) (let ((_let_90 (= _let_20 (tptp.multiplication _let_20 tptp.one)))) (let ((_let_91 (= _let_25 _let_32))) (let ((_let_92 (= _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_93 (= (tptp.c _let_21) _let_27))) (let ((_let_94 (not _let_22))) (let ((_let_95 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_96 _let_94 _let_24))) (let ((_let_100 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.multiplication X1 X0))) (or (not (tptp.test X1)) (not (tptp.test X2)) (not (= tptp.zero (tptp.multiplication _let_1 (tptp.c X2)))) (= _let_1 (tptp.multiplication _let_1 X2))))))) (let ((_let_101 (not _let_99))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (or))) (let ((_let_104 (not _let_100))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_102) :args (_let_104))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_104) _let_100))) (REFL :args (_let_101)) :args _let_103)) _let_102 :args (_let_101 true _let_100)))) (let ((_let_106 (REFL :args (_let_99)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_99 2)) (CONG _let_106 (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_22))) :args _let_103)) :args ((or _let_22 _let_99))) _let_105 :args (_let_22 true _let_99)))) (let ((_let_108 (not _let_24))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_99 3)) _let_105 :args (_let_108 true _let_99)))) (let ((_let_110 (_let_18))) (let ((_let_111 (ASSUME :args _let_110))) (let ((_let_112 ((tptp.addition A B)))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_29 _let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110)) _let_111 :args (_let_33 false _let_18)))) (let ((_let_114 (and _let_34 _let_36 _let_38))) (let ((_let_115 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_116 (= _let_115 _let_114))) (let ((_let_117 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (_let_117))) (let ((_let_120 ((tptp.complement X1 X0)))) (let ((_let_121 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_122 (not _let_121))) (let ((_let_123 (= _let_95 _let_122))) (let ((_let_124 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (_let_124))) (let ((_let_127 ((tptp.test X0)))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_99 1)) (CONG _let_106 (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_95))) :args _let_103)) :args ((or _let_95 _let_99))) _let_105 :args (_let_95 true _let_99)))) (let ((_let_129 (not _let_115))) (let ((_let_130 (_let_122))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_130)) :args _let_130) (REWRITE :args ((=> _let_122 (not _let_129)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_122) _let_121))) (REFL :args (_let_115)) :args _let_103)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_123)) :args ((or _let_96 _let_122 (not _let_123)))) _let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)) _let_125 :args (_let_123 false _let_124)) :args (_let_122 false _let_95 false _let_123)) :args (_let_115 true _let_121)))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_116)) :args ((or _let_129 _let_114 (not _let_116)))) _let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_116 false _let_117)) :args (_let_114 false _let_115 false _let_116)))) (let ((_let_133 (not _let_114))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_114 0)) :args ((or _let_34 _let_133))) _let_132 :args (_let_34 false _let_114)))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_114 1)) :args ((or _let_36 _let_133))) _let_132 :args (_let_36 false _let_114)))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_114 2)) :args ((or _let_38 _let_133))) _let_132 :args (_let_38 false _let_114)))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110)) _let_111 :args (_let_40 false _let_18)))) (let ((_let_138 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_139 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_140 (_let_138))) (let ((_let_141 ((tptp.addition A tptp.zero)))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_141)) :args _let_140)) _let_139 :args (_let_41 false _let_138)))) (let ((_let_143 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (_let_143))) (let ((_let_146 ((tptp.addition A A)))) (let ((_let_147 (_let_11))) (let ((_let_148 (ASSUME :args _let_147))) (let ((_let_149 ((tptp.addition (tptp.multiplication A B) (tptp.multiplication A C))))) (let ((_let_150 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_151 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.multiplication tptp.zero A) tptp.zero))))) :args (_let_150))) _let_151 :args (_let_45 false _let_150)))) (let ((_let_153 (_let_17))) (let ((_let_154 (ASSUME :args _let_153))) (let ((_let_155 ((tptp.addition A (tptp.addition B C))))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (_let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_141)) :args _let_140)) _let_139 :args (_let_48 false _let_138)))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_145)) _let_144 :args (_let_49 false _let_143)))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_145)) _let_144 :args (_let_51 false _let_143)))) (let ((_let_159 (or _let_96 _let_96 _let_52))) (let ((_let_160 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (not (tptp.test X1)) (= (tptp.c (tptp.addition X0 X1)) (tptp.multiplication (tptp.c X0) (tptp.c X1))))))) (let ((_let_161 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_162 (_let_160))) (let ((_let_163 ((tptp.addition X0 X1)))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_159))) :args ((or _let_96 _let_52 (not _let_159)))) _let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_161 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 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_let_148 :args (_let_291 false _let_11)) _let_280 :args (_let_308 false _let_22 true _let_24 false _let_34 false _let_36 false _let_38 false _let_89 false _let_40 false _let_41 false _let_48 false _let_49 false _let_51 false _let_54 false _let_52 false _let_87 false _let_88 false _let_307 false _let_57 false _let_306 false _let_304 false _let_301 false _let_300 false _let_68 false _let_298 false _let_72 false _let_297 false _let_296 false _let_79 false _let_293 false _let_80 false _let_81 false _let_84 false _let_291 false _let_90)))) (let ((_let_449 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_285)) :args ((or _let_281 _let_284 (not _let_285)))) _let_448 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_287 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_289)) :args _let_288)) _let_287 :args (_let_285 false _let_286)) :args (_let_281 true _let_284 false _let_285)))) (let ((_let_450 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_283)) :args ((or _let_98 _let_282 _let_91 (not _let_283)))) _let_172 _let_449 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_259 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_261)) :args _let_260)) _let_259 :args (_let_283 false _let_258)) :args (_let_91 false _let_97 false _let_281 false _let_283)))) (let ((_let_451 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_452 (= _let_451 _let_92))) (let ((_let_453 (or _let_282 _let_452))) (let ((_let_454 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_455 (= tptp.one _let_454))) (let ((_let_456 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18)))) (let ((_let_457 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_458 (and _let_457 _let_456 _let_455))) (let ((_let_459 (= _let_451 _let_458))) (let ((_let_460 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_461 (= _let_460 _let_454))) (let ((_let_462 (= tptp.one _let_460))) (let ((_let_463 (and _let_456 _let_457 _let_462))) (let ((_let_464 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_465 (= _let_464 _let_463))) (let ((_let_466 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_467 (not _let_466))) (let ((_let_468 (= _let_281 _let_467))) (let ((_let_469 (not _let_464))) (let ((_let_470 (_let_467))) (let ((_let_471 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_470)) :args _let_470) (REWRITE :args ((=> _let_467 (not _let_469)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_467) _let_466))) (REFL :args (_let_464)) :args _let_103)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_468)) :args ((or _let_282 _let_467 (not _let_468)))) _let_449 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)) _let_125 :args (_let_468 false _let_124)) :args (_let_467 false _let_281 false _let_468)) :args (_let_464 true _let_466)))) (let ((_let_472 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_465)) :args ((or _let_469 _let_463 (not _let_465)))) _let_471 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_465 false _let_117)) :args (_let_463 false _let_464 false _let_465)))) (let ((_let_473 (not _let_463))) (let ((_let_474 (and _let_462 _let_461))) (let ((_let_475 (ASSUME :args (_let_461)))) (let ((_let_476 (ASSUME :args (_let_462)))) (let ((_let_477 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_459)) :args ((or _let_451 (not _let_458) (not _let_459)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_458)) :args ((or (not _let_456) (not _let_457) _let_458 (not _let_455)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_463 0)) :args ((or _let_456 _let_473))) _let_472 :args (_let_456 false _let_463)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_463 1)) :args ((or _let_457 _let_473))) _let_472 :args (_let_457 false _let_463)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_474)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_475 _let_476) (SCOPE (TRANS (SYMM (SYMM _let_476)) (SYMM (SYMM _let_475))) :args (_let_461 _let_462))) :args (_let_462 _let_461))) :args (true _let_474)) :args ((or (not _let_462) _let_455 (not _let_461)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_463 2)) :args ((or _let_462 _let_473))) _let_472 :args (_let_462 false _let_463)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110)) _let_111 :args (_let_461 false _let_18)) :args (_let_455 false _let_462 false _let_461)) :args (_let_458 false _let_456 false _let_457 false _let_455)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_179)) :args _let_119)) _let_118 :args (_let_459 false _let_117)) :args (_let_451 false _let_458 false _let_459)))) (let ((_let_478 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_452)) :args ((or (not _let_451) _let_92 (not _let_452)))) _let_477 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_453)) :args ((or _let_282 _let_452 (not _let_453)))) _let_449 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_169 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_171)) :args _let_170))) _let_169 :args (_let_453 false _let_168)) :args (_let_452 false _let_281 false _let_453)) :args (_let_92 false _let_451 false _let_452)))) (let ((_let_479 (tptp.test _let_20))) (let ((_let_480 (not _let_479))) (let ((_let_481 (or _let_480 _let_233 _let_93))) (let ((_let_482 (= tptp.zero _let_25))) (let ((_let_483 (or _let_479 _let_482))) (let ((_let_484 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 tptp.one)))) (let ((_let_485 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_486 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 _let_485))) (let ((_let_487 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_488 (= (tptp.c _let_485) (tptp.multiplication _let_487 _let_487)))) (let ((_let_489 (tptp.multiplication _let_76 _let_19))) (let ((_let_490 (= _let_489 (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_19) _let_86)))) (let ((_let_491 (tptp.c _let_25))) (let ((_let_492 (tptp.multiplication _let_30 _let_19))) (let ((_let_493 (= (tptp.multiplication _let_30 (tptp.addition _let_19 _let_491)) (tptp.addition _let_492 (tptp.multiplication _let_30 _let_491))))) (let ((_let_494 (tptp.multiplication _let_30 _let_30))) (let ((_let_495 (tptp.addition _let_30 _let_19))) (let ((_let_496 (= (tptp.multiplication _let_30 _let_495) (tptp.addition _let_494 _let_492)))) (let ((_let_497 (tptp.addition _let_19 _let_30))) (let ((_let_498 (= (tptp.multiplication _let_30 _let_497) (tptp.addition _let_492 _let_494)))) (let ((_let_499 (= _let_30 (tptp.multiplication tptp.one _let_30)))) (let ((_let_500 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_501 (tptp.multiplication _let_19 _let_500))) (let ((_let_502 (= (tptp.multiplication _let_76 _let_501) (tptp.multiplication _let_489 _let_500)))) (let ((_let_503 (= (tptp.multiplication _let_30 _let_501) (tptp.multiplication _let_492 _let_500)))) (let ((_let_504 (tptp.multiplication _let_25 _let_19))) (let ((_let_505 (= (tptp.multiplication _let_25 _let_501) (tptp.multiplication _let_504 _let_500)))) (let ((_let_506 (= (tptp.addition _let_50 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_39)))) (let ((_let_507 (tptp.addition _let_30 _let_492))) (let ((_let_508 (tptp.multiplication _let_29 _let_19))) (let ((_let_509 (tptp.addition _let_507 _let_508))) (let ((_let_510 (= _let_509 (tptp.addition _let_508 _let_507)))) (let ((_let_511 (tptp.multiplication _let_492 _let_491))) (let ((_let_512 (tptp.multiplication _let_508 _let_491))) (let ((_let_513 (tptp.addition _let_511 _let_512))) (let ((_let_514 (= _let_513 (tptp.addition _let_512 _let_511)))) (let ((_let_515 (tptp.addition _let_492 _let_508))) (let ((_let_516 (= (tptp.multiplication _let_515 _let_491) _let_513))) (let ((_let_517 (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_518 (= (tptp.multiplication _let_19 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)) (tptp.addition (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) _let_517)))) (let ((_let_519 (tptp.multiplication _let_19 _let_30))) (let ((_let_520 (tptp.multiplication _let_19 _let_29))) (let ((_let_521 (= (tptp.multiplication _let_19 _let_32) (tptp.addition _let_520 _let_519)))) (let ((_let_522 (tptp.addition _let_30 _let_30))) (let ((_let_523 (= _let_30 _let_522))) (let ((_let_524 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_525 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_524))) (let ((_let_526 (tptp.c (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_527 (tptp.addition _let_526 _let_30))) (let ((_let_528 (= (tptp.addition _let_526 _let_522) (tptp.addition _let_527 _let_30)))) (let ((_let_529 (tptp.addition _let_19 _let_29))) (let ((_let_530 (tptp.addition _let_529 tptp.zero))) (let ((_let_531 (= (tptp.addition _let_529 _let_305) (tptp.addition _let_530 _let_30)))) (let ((_let_532 (tptp.addition _let_29 _let_299))) (let ((_let_533 (= (tptp.addition _let_29 (tptp.addition _let_299 _let_19)) (tptp.addition _let_532 _let_19)))) (let ((_let_534 (= (tptp.addition _let_30 _let_515) _let_509))) (let ((_let_535 (= (tptp.addition _let_30 _let_527) (tptp.addition (tptp.addition _let_30 _let_526) _let_30)))) (let ((_let_536 (= (tptp.addition _let_19 _let_532) (tptp.addition _let_529 _let_299)))) (let ((_let_537 (= _let_515 (tptp.addition _let_508 _let_492)))) (let ((_let_538 (tptp.addition _let_497 _let_29))) (let ((_let_539 (= _let_538 (tptp.addition _let_29 _let_497)))) (let ((_let_540 (tptp.addition _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_541 (= _let_540 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_19)))) (let ((_let_542 (= _let_497 _let_495))) (let ((_let_543 (= (tptp.c (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_495))) (let ((_let_544 (= _let_31 (tptp.c (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_545 (= (tptp.c _let_524) _let_494))) (let ((_let_546 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_547 (= _let_520 (tptp.c _let_546)))) (let ((_let_548 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_549 (= _let_519 (tptp.c _let_548)))) (let ((_let_550 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_551 (= _let_508 (tptp.c _let_550)))) (let ((_let_552 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_553 (= _let_492 (tptp.c _let_552)))) (let ((_let_554 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_487))) (let ((_let_555 (= tptp.one _let_540))) (let ((_let_556 (= tptp.zero _let_517))) (let ((_let_557 (tptp.addition _let_29 tptp.zero))) (let ((_let_558 (= (tptp.multiplication _let_557 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (tptp.addition (tptp.multiplication _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))))) (let ((_let_559 (= (tptp.multiplication _let_31 _let_19) _let_515))) (let ((_let_560 (tptp.addition _let_29 _let_19))) (let ((_let_561 (= (tptp.addition _let_30 _let_560) (tptp.addition _let_31 _let_19)))) (let ((_let_562 (= (tptp.addition _let_29 _let_305) (tptp.addition _let_557 _let_30)))) (let ((_let_563 (= (tptp.addition _let_19 _let_557) _let_530))) (let ((_let_564 (= (tptp.addition _let_19 _let_31) _let_538))) (let ((_let_565 (= _let_529 _let_560))) (let ((_let_566 (= _let_546 _let_550))) (let ((_let_567 (= _let_526 _let_529))) (let ((_let_568 (= tptp.zero (tptp.multiplication _let_19 tptp.zero)))) (let ((_let_569 (= _let_29 _let_557))) (let ((_let_570 (= _let_552 _let_548))) (let ((_let_571 (not _let_482))) (let ((_let_572 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_573 (not _let_572))) (let ((_let_574 (or _let_573 _let_573 _let_488))) (let ((_let_575 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))))) (let ((_let_576 (not _let_575))) (let ((_let_577 (= _let_572 _let_576))) (let ((_let_578 (_let_575))) (let ((_let_579 (not _let_577))) (let ((_let_580 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_577)) (CONG (REFL :args (_let_579)) (REFL :args (_let_572)) (MACRO_SR_PRED_INTRO :args ((= (not _let_576) _let_575))) :args _let_103)) :args ((or _let_572 _let_575 _let_579))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_578) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18) false))))) :args _let_578)) _let_477 :args (_let_576 false _let_451)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)) _let_125 :args (_let_577 false _let_124)) :args (_let_572 true _let_575 false _let_577)))) (let ((_let_581 (_let_10))) (let ((_let_582 (ASSUME :args _let_581))) (let ((_let_583 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_584 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_585 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_586 ((tptp.multiplication A (tptp.multiplication B C))))) (let ((_let_587 (or _let_282 _let_96 _let_543))) (let ((_let_588 (or _let_282 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(SCOPE (INSTANTIATE _let_161 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_163)) :args _let_162))) _let_161 :args (_let_590 false _let_160)) :args (_let_547 false _let_97 false _let_95 false _let_590)) _let_164 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_589))) :args ((or _let_282 _let_545 (not _let_589)))) _let_449 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_235)) :args _let_162)) _let_161 :args (_let_589 false _let_160)) :args (_let_545 false _let_281 false _let_589)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_588)) :args ((or _let_98 _let_282 _let_544 (not _let_588)))) _let_172 _let_449 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_259 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 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QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110)) _let_111 :args (_let_541 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_497 _let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110)) _let_111 :args (_let_539 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_492 _let_508 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110)) _let_111 :args (_let_537 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (_let_299 _let_29 _let_19 QUANTIFIERS_INST_E_MATCHING _let_155)) :args _let_153)) _let_154 :args (_let_536 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (_let_30 _let_526 _let_30 QUANTIFIERS_INST_E_MATCHING _let_155)) :args _let_153)) _let_154 :args (_let_535 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (_let_508 _let_492 _let_30 QUANTIFIERS_INST_E_MATCHING _let_155)) :args _let_153)) _let_154 :args (_let_534 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (_let_19 _let_299 _let_29 QUANTIFIERS_INST_E_MATCHING _let_218)) :args _let_153)) _let_154 :args (_let_533 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (_let_30 tptp.zero _let_529 QUANTIFIERS_INST_E_MATCHING _let_218)) :args _let_153)) _let_154 :args (_let_531 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (_let_30 _let_30 _let_526 QUANTIFIERS_INST_E_MATCHING _let_218)) :args _let_153)) _let_154 :args (_let_528 false _let_17)) _let_310 (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_525 false _let_143)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (_let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_145)) _let_144 :args (_let_523 false _let_143)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_19 _let_29 _let_30 QUANTIFIERS_INST_E_MATCHING _let_230)) :args _let_147)) _let_148 :args (_let_521 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING _let_149)) :args _let_147)) _let_148 :args (_let_518 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_582 :args (_let_492 _let_508 _let_491 QUANTIFIERS_INST_E_MATCHING _let_583)) :args _let_581)) _let_582 :args (_let_516 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_511 _let_512 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110)) _let_111 :args (_let_514 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_507 _let_508 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110)) _let_111 :args (_let_510 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_154 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_218)) :args _let_153))) _let_154 :args (_let_506 false _let_17)) _let_309 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_25 _let_19 _let_500 QUANTIFIERS_INST_E_MATCHING _let_586)) :args _let_220)) _let_221 :args (_let_505 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_30 _let_19 _let_500 QUANTIFIERS_INST_E_MATCHING _let_586)) :args _let_220)) _let_221 :args (_let_503 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_76 _let_19 _let_500 QUANTIFIERS_INST_E_MATCHING _let_586)) :args _let_220)) _let_221 :args (_let_502 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_585 :args (_let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication tptp.one A)))) :args (_let_584))) _let_585 :args (_let_499 false _let_584)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_30 _let_19 _let_30 QUANTIFIERS_INST_E_MATCHING _let_149)) :args _let_147)) _let_148 :args (_let_498 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_30 _let_30 _let_19 QUANTIFIERS_INST_E_MATCHING _let_149)) :args _let_147)) _let_148 :args (_let_496 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_30 _let_19 _let_491 QUANTIFIERS_INST_E_MATCHING _let_149)) :args _let_147)) _let_148 :args (_let_493 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_582 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_19 QUANTIFIERS_INST_E_MATCHING _let_583)) :args _let_581)) _let_582 :args (_let_490 false _let_10)) _let_478 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_574))) :args ((or _let_573 _let_488 (not _let_574)))) _let_580 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.c X0) (tptp.c X1))))) :args _let_162)) _let_161 :args (_let_574 false _let_160)) :args (_let_488 false _let_572 false _let_574)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_145)) _let_144 :args (_let_486 false _let_143)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_277 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_279)) :args _let_278)) _let_277 :args (_let_484 false _let_276)) :args (_let_571 false _let_22 false _let_91 true _let_284 false _let_33 false _let_34 false _let_38 false _let_89 false _let_570 false _let_40 false _let_41 false _let_569 false _let_568 false _let_45 false _let_567 false _let_566 false _let_565 false _let_564 false _let_563 false _let_562 false _let_561 false _let_49 false _let_51 false _let_559 false _let_558 false _let_556 false _let_555 false _let_53 false _let_54 false _let_554 false _let_553 false _let_551 false _let_549 false _let_547 false _let_52 false _let_545 false _let_544 false _let_543 false _let_87 false _let_307 false _let_306 false _let_542 false _let_541 false _let_539 false _let_537 false _let_536 false _let_535 false _let_534 false _let_533 false _let_531 false _let_528 false _let_300 false _let_525 false _let_523 false _let_521 false _let_518 false _let_516 false _let_514 false _let_510 false _let_506 false _let_293 false _let_505 false _let_503 false _let_502 false _let_499 false _let_498 false _let_496 false _let_493 false _let_490 false _let_92 false _let_488 false _let_486 false _let_484)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_287 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_289)) :args _let_288)) _let_287 :args (_let_483 false _let_286)) :args (_let_479 true _let_482 false _let_483)) _let_256 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_259 :args (_let_20 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_261)) :args _let_260)) _let_259 :args (_let_481 false _let_258)) :args (_let_93 false _let_479 false _let_232 false _let_481)) _let_478 _let_450 _let_280 _let_275 _let_272 _let_262 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_234)) :args ((or _let_96 _let_233 _let_85 (not _let_234)))) _let_128 _let_256 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_19 QUANTIFIERS_INST_E_MATCHING _let_235)) :args _let_162)) _let_161 :args (_let_234 false _let_160)) :args (_let_85 false _let_95 false _let_232 false _let_234)) _let_231 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (_let_20 _let_59 _let_58 QUANTIFIERS_INST_E_MATCHING _let_230)) :args _let_147)) _let_148 :args (_let_82 false _let_11)) _let_229 _let_228 _let_227 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (_let_58 _let_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_155)) :args _let_153)) _let_154 :args (_let_78 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110)) _let_111 :args (_let_77 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_74 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110)) _let_111 :args (_let_75 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_223 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_225)) :args _let_224)) _let_223 :args (_let_73 false _let_222)) _let_226 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.multiplication A B) C)))) :args _let_220))) _let_221 :args (_let_71 false _let_14)) _let_219 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (_let_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_218)) :args _let_153)) _let_154 :args (_let_67 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (_let_30 _let_29 _let_26 QUANTIFIERS_INST_E_MATCHING _let_155)) :args _let_153)) _let_154 :args (_let_66 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_26 _let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110))) _let_111 :args (_let_65 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_30 _let_62 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110)) _let_111 :args (_let_63 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_58 _let_59 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110)) _let_111 :args (_let_61 false _let_18)) _let_217 _let_216 _let_196 _let_164 _let_158 _let_157 _let_156 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (_let_29 _let_30 _let_26 QUANTIFIERS_INST_E_MATCHING _let_155)) :args _let_153)) _let_154 :args (_let_47 false _let_17)) _let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_148 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_149)) :args _let_147)) _let_148 :args (_let_44 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_145)) _let_144 :args (_let_42 false _let_143)) _let_142 _let_137 _let_136 _let_135 _let_134 _let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_25 _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_110)) _let_111 :args (_let_28 false _let_18)) _let_109 _let_107 :args (false false _let_93 false _let_92 false _let_91 false _let_90 false _let_89 false _let_88 false _let_87 false _let_85 false _let_84 false _let_82 false _let_81 false _let_80 false _let_79 false _let_78 false _let_77 false _let_75 false _let_73 false _let_72 false _let_71 false _let_68 false _let_67 false _let_66 false _let_65 false _let_63 false _let_61 false _let_57 false _let_54 false _let_53 false _let_52 false _let_51 false _let_49 false _let_48 false _let_47 false _let_45 false _let_44 false _let_42 false _let_41 false _let_40 false _let_38 false _let_36 false _let_34 false _let_33 false _let_28 true _let_24 false _let_22)) :args (_let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 8.24/8.47  )
% 8.24/8.47  % SZS output end Proof for KLE025+2
% 8.24/8.47  % cvc5---1.0.5 exiting
% 8.24/8.47  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------