TSTP Solution File: GRP304-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP304-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 00:25:33 EDT 2023

% Result   : Unsatisfiable 0.87s 1.09s
% Output   : Proof 0.92s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP304-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n006.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Mon Aug 28 21:31:21 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.3VfBC79ugh/cvc5---1.0.5_23455.p...
% 0.22/0.52  ------- get file name : TPTP file name is GRP304-1
% 0.22/0.52  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23455.smt2...
% 0.22/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.87/1.09  % SZS status Unsatisfiable for GRP304-1
% 0.87/1.09  % SZS output start Proof for GRP304-1
% 0.92/1.10  (
% 0.92/1.10  (let ((_let_1 (forall ((X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.multiply X2 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply tptp.sk_c7 X3) tptp.sk_c6)) (not (= (tptp.multiply X4 tptp.sk_c7) X3)) (not (= (tptp.inverse X4) tptp.sk_c7)))))) (let ((_let_2 (tptp.inverse tptp.sk_c3))) (let ((_let_3 (= _let_2 tptp.sk_c7))) (let ((_let_4 (tptp.inverse tptp.sk_c1))) (let ((_let_5 (= _let_4 tptp.sk_c6))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (let ((_let_8 (= _let_7 tptp.sk_c4))) (let ((_let_9 (or _let_5 _let_8))) (let ((_let_10 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (let ((_let_11 (= _let_10 tptp.sk_c6))) (let ((_let_12 (or _let_5 _let_11))) (let ((_let_13 (tptp.inverse tptp.sk_c2))) (let ((_let_14 (= _let_13 tptp.sk_c7))) (let ((_let_15 (or _let_5 _let_14))) (let ((_let_16 (tptp.multiply tptp.sk_c2 tptp.sk_c7))) (let ((_let_17 (= _let_16 tptp.sk_c6))) (let ((_let_18 (or _let_5 _let_17))) (let ((_let_19 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (let ((_let_20 (= _let_19 tptp.sk_c7))) (let ((_let_21 (or _let_20 _let_3))) (let ((_let_22 (or _let_20 _let_8))) (let ((_let_23 (or _let_20 _let_11))) (let ((_let_24 (or _let_20 _let_14))) (let ((_let_25 (or _let_20 _let_17))) (let ((_let_26 (tptp.inverse tptp.sk_c7))) (let ((_let_27 (= _let_26 tptp.sk_c5))) (let ((_let_28 (or _let_27 _let_3))) (let ((_let_29 (or _let_27 _let_8))) (let ((_let_30 (or _let_27 _let_11))) (let ((_let_31 (or _let_27 _let_14))) (let ((_let_32 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (let ((_let_33 (= _let_32 tptp.sk_c5))) (let ((_let_34 (or _let_33 _let_3))) (let ((_let_35 (or _let_33 _let_8))) (let ((_let_36 (or _let_33 _let_11))) (let ((_let_37 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (let ((_let_38 (= _let_37 tptp.sk_c5))) (let ((_let_39 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_40 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_41 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_42 (= tptp.sk_c6 _let_4))) (let ((_let_43 (not _let_42))) (let ((_let_44 (= tptp.sk_c7 _let_19))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_43))) (let ((_let_47 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X2))))))) (let ((_let_48 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_49 (= tptp.sk_c6 _let_48))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c6))) (let ((_let_52 (= tptp.sk_c7 _let_51))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_50))) (let ((_let_55 (= tptp.sk_c4 _let_7))) (let ((_let_56 (= tptp.sk_c7 _let_2))) (let ((_let_57 (= tptp.sk_c6 _let_10))) (let ((_let_58 (= tptp.sk_c5 _let_26))) (let ((_let_59 (= tptp.sk_c5 _let_37))) (let ((_let_60 (= tptp.identity (tptp.multiply _let_26 tptp.sk_c7)))) (let ((_let_61 (= tptp.identity (tptp.multiply _let_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_62 (tptp.multiply tptp.sk_c6 _let_51))) (let ((_let_63 (= (tptp.multiply (tptp.multiply tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) tptp.sk_c6) _let_62))) (let ((_let_64 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (let ((_let_65 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (let ((_let_66 (= tptp.sk_c5 _let_32))) (let ((_let_67 (= (tptp.multiply (tptp.multiply _let_51 tptp.sk_c6) _let_51) (tptp.multiply _let_51 _let_62)))) (let ((_let_68 (= tptp.sk_c7 _let_26))) (let ((_let_69 (= (tptp.multiply _let_51 _let_51) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_62)))) (let ((_let_70 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (let ((_let_71 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 _let_70)))) (let ((_let_72 (= tptp.sk_c6 _let_70))) (let ((_let_73 (not _let_68))) (let ((_let_74 (not _let_71))) (let ((_let_75 (or _let_74 _let_73))) (let ((_let_76 (not _let_72))) (let ((_let_77 (or _let_76 _let_73))) (let ((_let_78 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.multiply X4 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse X4))))))) (let ((_let_79 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))))) (let ((_let_80 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_55 _let_58))))) (let ((_let_81 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_55 _let_44))))) (let ((_let_82 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_55 _let_42))))) (let ((_let_83 (not _let_46))) (let ((_let_84 (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_45 _let_43 _let_83))))) (let ((_let_85 (_let_47))) (let ((_let_86 ((tptp.multiply X2 tptp.sk_c6)))) (let ((_let_87 (ASSUME :args _let_85))) (let ((_let_88 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_85)))) (let ((_let_89 (or))) (let ((_let_90 (not _let_47))) (let ((_let_91 (_let_90))) (let ((_let_92 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_91)) :args _let_91)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_47))) (REFL :args ((not _let_54))) :args _let_89)))) (let ((_let_93 (REFL :args (_let_54)))) (let ((_let_94 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 1)) (CONG _let_93 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) :args _let_89)) :args ((or _let_49 _let_54))))) (let ((_let_95 (SYMM (ASSUME :args (_let_38))))) (let ((_let_96 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (_let_96))) (let ((_let_99 ((tptp.inverse X)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_98)) _let_97 :args (_let_60 false _let_96)))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_98)) _let_97 :args (_let_61 false _let_96)))) (let ((_let_102 (_let_39))) (let ((_let_103 (ASSUME :args _let_102))) (let ((_let_104 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_63 false _let_39)))) (let ((_let_106 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_107 (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (_let_106))) (let ((_let_109 ((tptp.multiply tptp.identity X)))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_109)) :args _let_108)) _let_107 :args (_let_64 false _let_106)))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_109)) :args _let_108)) _let_107 :args (_let_65 false _let_106)))) (let ((_let_112 (= tptp.identity (tptp.multiply _let_2 tptp.sk_c3)))) (let ((_let_113 (tptp.multiply tptp.sk_c7 _let_7))) (let ((_let_114 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c3) tptp.sk_c7) _let_113))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_98)) _let_97 :args (_let_112 false _let_96)))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.sk_c7 tptp.sk_c3 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_114 false _let_39)))) (let ((_let_117 (not _let_64))) (let ((_let_118 (not _let_114))) (let ((_let_119 (not _let_112))) (let ((_let_120 (not _let_56))) (let ((_let_121 (not _let_55))) (let ((_let_122 (not _let_57))) (let ((_let_123 (not _let_59))) (let ((_let_124 (and _let_59 _let_57 _let_55 _let_56 _let_112 _let_114 _let_64))) (let ((_let_125 (APPLY_UF tptp.multiply))) (let ((_let_126 (ASSUME :args (_let_64)))) (let ((_let_127 (SYMM _let_126))) (let ((_let_128 (REFL :args (tptp.sk_c7)))) (let ((_let_129 (ASSUME :args (_let_112)))) (let ((_let_130 (SYMM _let_129))) (let ((_let_131 (REFL :args (tptp.sk_c3)))) (let ((_let_132 (ASSUME :args (_let_56)))) (let ((_let_133 (SYMM _let_132))) (let ((_let_134 (SYMM _let_133))) (let ((_let_135 (CONG _let_134 _let_131 :args _let_125))) (let ((_let_136 (CONG (TRANS _let_135 _let_130) _let_128 :args _let_125))) (let ((_let_137 (ASSUME :args (_let_114)))) (let ((_let_138 (SYMM _let_137))) (let ((_let_139 (ASSUME :args (_let_55)))) (let ((_let_140 (SYMM _let_139))) (let ((_let_141 (SYMM _let_140))) (let ((_let_142 (CONG _let_128 _let_141 :args _let_125))) (let ((_let_143 (ASSUME :args (_let_57)))) (let ((_let_144 (SYMM _let_143))) (let ((_let_145 (SYMM _let_144))) (let ((_let_146 (TRANS _let_145 _let_142 _let_138 _let_136 _let_127))) (let ((_let_147 (REFL :args (tptp.sk_c6)))) (let ((_let_148 (SYMM _let_146))) (let ((_let_149 (SYMM _let_95))) (let ((_let_150 (SYMM _let_149))) (let ((_let_151 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_124)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_126 _let_129 _let_132 _let_137 _let_139 _let_143 _let_95) (SCOPE (TRANS _let_150 (CONG _let_148 _let_147 :args _let_125) (CONG _let_147 _let_146 :args _let_125)) :args (_let_64 _let_112 _let_56 _let_114 _let_55 _let_57 _let_59))) :args (_let_59 _let_57 _let_55 _let_56 _let_112 _let_114 _let_64))) :args (true _let_124)) :args ((or _let_66 _let_123 _let_122 _let_121 _let_120 _let_119 _let_118 _let_117))) _let_110 _let_116 _let_115 _let_95 (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))) :args (_let_66 false _let_64 false _let_114 false _let_112 false _let_59 false _let_56 false _let_55 false _let_57)))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_51 tptp.sk_c6 _let_51 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_67 false _let_39)))) (let ((_let_153 (and _let_59 _let_66 _let_58 _let_52 _let_49 _let_60 _let_61 _let_63 _let_64 _let_65 _let_67))) (let ((_let_154 (ASSUME :args (_let_58)))) (let ((_let_155 (SYMM _let_154))) (let ((_let_156 (SYMM _let_155))) (let ((_let_157 (ASSUME :args (_let_66)))) (let ((_let_158 (SYMM _let_157))) (let ((_let_159 (ASSUME :args (_let_49)))) (let ((_let_160 (SYMM _let_159))) (let ((_let_161 (ASSUME :args (_let_65)))) (let ((_let_162 (SYMM _let_161))) (let ((_let_163 (SYMM _let_162))) (let ((_let_164 (SYMM _let_163))) (let ((_let_165 (ASSUME :args (_let_61)))) (let ((_let_166 (SYMM _let_165))) (let ((_let_167 (SYMM _let_166))) (let ((_let_168 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_169 (CONG (TRANS (CONG _let_159 _let_168 :args _let_125) (SYMM _let_167)) _let_147 :args _let_125))) (let ((_let_170 (ASSUME :args (_let_63)))) (let ((_let_171 (SYMM _let_170))) (let ((_let_172 (SYMM _let_171))) (let ((_let_173 (SYMM _let_172))) (let ((_let_174 (ASSUME :args (_let_52)))) (let ((_let_175 (SYMM _let_174))) (let ((_let_176 (SYMM _let_175))) (let ((_let_177 (CONG _let_147 _let_176 :args _let_125))) (let ((_let_178 (CONG _let_175 _let_147 :args _let_125))) (let ((_let_179 (REFL :args (_let_51)))) (let ((_let_180 (ASSUME :args (_let_67)))) (let ((_let_181 (SYMM _let_180))) (let ((_let_182 (SYMM _let_178))) (let ((_let_183 (TRANS _let_172 (SYMM _let_177) _let_158 _let_95))) (let ((_let_184 (ASSUME :args (_let_60)))) (let ((_let_185 (SYMM _let_184))) (let ((_let_186 (SYMM _let_127))) (let ((_let_187 (RESOLUTION (CNF_AND_NEG :args (_let_153)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_154 _let_157 _let_159 _let_161 _let_165 _let_170 _let_174 _let_95 _let_180 _let_184 _let_126) (SCOPE (TRANS _let_186 (CONG (TRANS (TRANS (SYMM _let_185) (CONG (TRANS (TRANS _let_155 _let_95) (SYMM _let_183) _let_172) _let_176 :args _let_125) (CONG (TRANS _let_173 _let_183 _let_182) _let_179 :args _let_125) (SYMM _let_181) (CONG _let_179 (TRANS _let_173 _let_169 _let_164) :args _let_125) _let_178 _let_149 _let_157 _let_177 _let_173 _let_169 _let_164 _let_159) _let_160) _let_128 :args _let_125) _let_158 _let_156) :args (_let_58 _let_66 _let_49 _let_65 _let_61 _let_63 _let_52 _let_59 _let_67 _let_60 _let_64))) :args (_let_59 _let_66 _let_58 _let_52 _let_49 _let_60 _let_61 _let_63 _let_64 _let_65 _let_67))) :args (true _let_153)))) (let ((_let_188 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c6 _let_51 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_69 false _let_39)))) (let ((_let_189 (and _let_59 _let_66 _let_58 _let_52 _let_49 _let_60 _let_61 _let_63 _let_64 _let_65 _let_69 _let_67))) (let ((_let_190 (true _let_189))) (let ((_let_191 (_let_59 _let_66 _let_58 _let_52 _let_49 _let_60 _let_61 _let_63 _let_64 _let_65 _let_69 _let_67))) (let ((_let_192 (_let_52 _let_69 _let_63 _let_49 _let_61 _let_65 _let_64 _let_60 _let_58 _let_59 _let_66 _let_67))) (let ((_let_193 (CONG _let_175 _let_175 :args _let_125))) (let ((_let_194 (ASSUME :args (_let_69)))) (let ((_let_195 (SYMM _let_194))) (let ((_let_196 (CONG _let_160 _let_168 :args _let_125))) (let ((_let_197 (TRANS _let_167 _let_196))) (let ((_let_198 (CONG _let_197 _let_147 :args _let_125))) (let ((_let_199 (TRANS _let_163 _let_198 _let_172))) (let ((_let_200 (CONG _let_168 _let_199 :args _let_125))) (let ((_let_201 (CONG _let_147 _let_175 :args _let_125))) (let ((_let_202 (TRANS _let_172 _let_201 _let_158 _let_95))) (let ((_let_203 (CONG _let_179 _let_199 :args _let_125))) (let ((_let_204 (CONG (TRANS _let_159 (TRANS _let_160 _let_163 _let_198 _let_172 _let_201 _let_158 _let_95 _let_182 _let_203 _let_181 (CONG (TRANS _let_178 (SYMM _let_202) _let_172) _let_179 :args _let_125) (CONG (TRANS _let_171 _let_202 (TRANS _let_149 _let_156)) _let_175 :args _let_125) _let_185)) _let_128 :args _let_125))) (let ((_let_205 (AND_INTRO _let_174 _let_194 _let_170 _let_159 _let_165 _let_161 _let_126 _let_184 _let_154 _let_95 _let_157 _let_180))) (let ((_let_206 (CNF_AND_NEG :args (_let_189)))) (let ((_let_207 (RESOLUTION _let_206 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_205 (SCOPE (TRANS _let_163 _let_198 _let_172 _let_201 _let_204 _let_127 _let_174 _let_200 _let_195 _let_193 (CONG _let_128 (TRANS _let_174 _let_200 _let_195 _let_193) :args _let_125)) :args _let_192)) :args _let_191)) :args _let_190))) (let ((_let_208 (RESOLUTION _let_206 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_205 (SCOPE (TRANS _let_163 _let_198 _let_172 _let_201 _let_204 _let_127 _let_174 _let_200 _let_195 _let_193) :args _let_192)) :args _let_191)) :args _let_190))) (let ((_let_209 (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_74 _let_73 (not _let_75)))))) (let ((_let_210 (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_73 _let_76 (not _let_77)))))) (let ((_let_211 (_let_78))) (let ((_let_212 ((tptp.multiply X4 tptp.sk_c7)))) (let ((_let_213 (ASSUME :args _let_211))) (let ((_let_214 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_212)) :args _let_211)))) (let ((_let_215 (_let_79))) (let ((_let_216 ((tptp.multiply X1 tptp.sk_c7)))) (let ((_let_217 (ASSUME :args _let_215))) (let ((_let_218 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_217 :args (tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_216)) :args _let_215)))) (let ((_let_219 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_220 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_57 _let_44))))) (let ((_let_221 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_57 _let_42))))) (let ((_let_222 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_223 (= tptp.identity (tptp.multiply _let_222 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_224 (= (tptp.multiply _let_62 tptp.sk_c3) (tptp.multiply tptp.sk_c6 (tptp.multiply _let_51 tptp.sk_c3))))) (let ((_let_225 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (let ((_let_226 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (let ((_let_227 (= tptp.sk_c6 _let_113))) (let ((_let_228 (not _let_227))) (let ((_let_229 (or _let_228 _let_120))) (let ((_let_230 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_231 (= tptp.sk_c7 _let_230))) (let ((_let_232 (not _let_231))) (let ((_let_233 (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c7)))) _let_232))) (let ((_let_234 (= tptp.sk_c7 _let_4))) (let ((_let_235 (= tptp.sk_c6 _let_16))) (let ((_let_236 (= tptp.sk_c7 _let_13))) (let ((_let_237 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (let ((_let_238 (= tptp.sk_c7 _let_237))) (let ((_let_239 (= tptp.identity (tptp.multiply _let_13 tptp.sk_c2)))) (let ((_let_240 (tptp.multiply tptp.sk_c7 tptp.sk_c2))) (let ((_let_241 (= (tptp.multiply _let_240 tptp.sk_c7) (tptp.multiply tptp.sk_c7 _let_16)))) (let ((_let_242 (= tptp.sk_c6 _let_13))) (let ((_let_243 (not _let_242))) (let ((_let_244 (not _let_238))) (let ((_let_245 (or _let_244 _let_243))) (let ((_let_246 (= tptp.identity (tptp.multiply _let_230 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_247 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_248 (tptp.multiply _let_247 tptp.sk_c6))) (let ((_let_249 (= (tptp.multiply (tptp.multiply tptp.sk_c7 _let_247) tptp.sk_c6) (tptp.multiply tptp.sk_c7 _let_248)))) (let ((_let_250 (tptp.multiply tptp.sk_c6 _let_247))) (let ((_let_251 (tptp.multiply _let_250 tptp.sk_c6))) (let ((_let_252 (= _let_251 (tptp.multiply tptp.sk_c6 _let_248)))) (let ((_let_253 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_254 (tptp.multiply tptp.sk_c2 _let_251))) (let ((_let_255 (= (tptp.multiply (tptp.multiply tptp.sk_c2 _let_250) tptp.sk_c6) _let_254))) (let ((_let_256 (tptp.multiply tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_257 (tptp.multiply _let_256 _let_250))) (let ((_let_258 (= (tptp.multiply _let_257 tptp.sk_c6) (tptp.multiply _let_256 _let_251)))) (let ((_let_259 (tptp.multiply tptp.sk_c3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_260 (tptp.multiply tptp.sk_c6 _let_259))) (let ((_let_261 (= _let_260 (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_262 (tptp.multiply tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_263 (= _let_250 (tptp.multiply _let_262 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_264 (= (tptp.multiply _let_237 _let_259) (tptp.multiply tptp.sk_c2 _let_260)))) (let ((_let_265 (= (tptp.multiply (tptp.multiply _let_26 tptp.sk_c6) _let_51) (tptp.multiply _let_26 _let_62)))) (let ((_let_266 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (let ((_let_267 (= (tptp.multiply _let_240 _let_251) (tptp.multiply tptp.sk_c7 _let_254)))) (let ((_let_268 (and _let_57 _let_55))) (let ((_let_269 (RESOLUTION (CNF_AND_NEG :args (_let_268)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_139 _let_143) (SCOPE (TRANS _let_145 _let_142) :args (_let_55 _let_57))) :args (_let_57 _let_55))) :args (true _let_268)))) (let ((_let_270 (REORDERING (CNF_OR_POS :args (_let_229)) :args ((or _let_120 _let_228 (not _let_229)))))) (let ((_let_271 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_212)) :args _let_211)))) (let ((_let_272 (not _let_78))) (let ((_let_273 (_let_272))) (let ((_let_274 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_273)) :args _let_273)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_272) _let_78))) (REFL :args ((not _let_233))) :args _let_89)))) (let ((_let_275 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_233 1)) (CONG (REFL :args (_let_233)) (MACRO_SR_PRED_INTRO :args ((= (not _let_232) _let_231))) :args _let_89)) :args ((or _let_231 _let_233))))) (let ((_let_276 (= tptp.sk_c7 _let_222))) (let ((_let_277 (not _let_276))) (let ((_let_278 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c7))) (let ((_let_279 (= tptp.sk_c6 _let_278))) (let ((_let_280 (not _let_279))) (let ((_let_281 (or _let_280 _let_277))) (let ((_let_282 (= tptp.sk_c6 _let_222))) (let ((_let_283 (= tptp.sk_c7 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c6)))) (let ((_let_284 (not _let_282))) (let ((_let_285 (not _let_283))) (let ((_let_286 (or _let_285 _let_284))) (let ((_let_287 (tptp.multiply tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_288 (= (tptp.multiply _let_287 tptp.sk_c7) (tptp.multiply tptp.sk_c7 _let_278)))) (let ((_let_289 (tptp.multiply _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_290 (tptp.multiply _let_289 _let_278))) (let ((_let_291 (= _let_290 (tptp.multiply _let_26 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_278))))) (let ((_let_292 (= (tptp.multiply _let_251 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiply _let_250 _let_262)))) (let ((_let_293 (= (tptp.multiply _let_290 tptp.sk_c7) (tptp.multiply _let_289 (tptp.multiply _let_278 tptp.sk_c7))))) (let ((_let_294 (= (tptp.multiply _let_251 _let_259) (tptp.multiply _let_250 _let_260)))) (let ((_let_295 (tptp.multiply _let_278 tptp.sk_c2))) (let ((_let_296 (= (tptp.multiply (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_295) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.multiply _let_295 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_297 (not _let_79))) (let ((_let_298 (_let_297))) (let ((_let_299 (REFL :args (_let_281)))) (let ((_let_300 (and _let_57 _let_55 _let_56 _let_276 _let_112 _let_114 _let_64))) (let ((_let_301 (= tptp.sk_c6 _let_2))) (let ((_let_302 (ASSUME :args (_let_276)))) (let ((_let_303 (SYMM _let_302))) (let ((_let_304 (SYMM (SYMM (ASSUME :args (_let_301)))))) (let ((_let_305 (MODUS_PONENS (AND_INTRO _let_132 _let_126 _let_129 _let_137 _let_139 _let_143) (SCOPE (TRANS _let_145 _let_142 _let_138 _let_136 _let_127 _let_134) :args (_let_56 _let_64 _let_112 _let_114 _let_55 _let_57))))) (let ((_let_306 (and _let_57 _let_55 _let_56 _let_279 _let_112 _let_114 _let_64))) (let ((_let_307 (CONG _let_128 _let_140 :args _let_125))) (let ((_let_308 (SYMM _let_138))) (let ((_let_309 (SYMM _let_130))) (let ((_let_310 (CONG (TRANS _let_309 (CONG _let_133 _let_131 :args _let_125)) _let_128 :args _let_125))) (let ((_let_311 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_312 (ASSUME :args (_let_279)))) (let ((_let_313 (SYMM _let_312))) (let ((_let_314 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 0)) (CONG _let_93 (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_52))) :args _let_89)) :args ((or _let_52 _let_54))))) (let ((_let_315 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_98)) _let_97 :args (_let_239 false _let_96)))) (let ((_let_316 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_98)) _let_97 :args (_let_246 false _let_96)))) (let ((_let_317 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_98)) _let_97 :args (_let_223 false _let_96)))) (let ((_let_318 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_109)) :args _let_108)) _let_107 :args (_let_253 false _let_106)))) (let ((_let_319 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_320 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.sk_c6 tptp.sk_c3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102))) _let_103 :args (_let_261 false _let_39)))) (let ((_let_321 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102))) _let_103 :args (_let_263 false _let_39)))) (let ((_let_322 (not _let_263))) (let ((_let_323 (not _let_261))) (let ((_let_324 (not _let_253))) (let ((_let_325 (not _let_65))) (let ((_let_326 (not _let_61))) (let ((_let_327 (not _let_223))) (let ((_let_328 (not _let_246))) (let ((_let_329 (not _let_239))) (let ((_let_330 (not _let_60))) (let ((_let_331 (not _let_236))) (let ((_let_332 (and _let_59 _let_236 _let_57 _let_55 _let_56 _let_231 _let_279 _let_276 _let_52 _let_49 _let_60 _let_239 _let_112 _let_246 _let_223 _let_61 _let_288 _let_114 _let_64 _let_65 _let_291 _let_253 _let_292 _let_293 _let_294 _let_296 _let_261 _let_263))) (let ((_let_333 (APPLY_UF tptp.inverse))) (let ((_let_334 (SYMM _let_142))) (let ((_let_335 (SYMM _let_136))) (let ((_let_336 (TRANS _let_126 _let_335 _let_137 _let_334 _let_144))) (let ((_let_337 (ASSUME :args (_let_253)))) (let ((_let_338 (SYMM _let_337))) (let ((_let_339 (SYMM _let_336))) (let ((_let_340 (CONG (TRANS (CONG _let_339 _let_131 :args _let_125) _let_135 _let_130) _let_168 :args _let_125))) (let ((_let_341 (ASSUME :args (_let_261)))) (let ((_let_342 (SYMM _let_341))) (let ((_let_343 (SYMM _let_342))) (let ((_let_344 (TRANS _let_343 _let_340 _let_338))) (let ((_let_345 (SYMM _let_340))) (let ((_let_346 (ASSUME :args (_let_246)))) (let ((_let_347 (SYMM _let_346))) (let ((_let_348 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_349 (ASSUME :args (_let_231)))) (let ((_let_350 (SYMM (SYMM _let_349)))) (let ((_let_351 (CONG _let_350 _let_348 :args _let_125))) (let ((_let_352 (CONG _let_339 _let_348 :args _let_125))) (let ((_let_353 (ASSUME :args (_let_263)))) (let ((_let_354 (SYMM _let_353))) (let ((_let_355 (SYMM _let_354))) (let ((_let_356 (TRANS _let_355 (CONG (TRANS _let_352 _let_351 _let_347) _let_168 :args _let_125) _let_345 _let_342))) (let ((_let_357 (SYMM _let_352))) (let ((_let_358 (TRANS (CONG _let_357 _let_168 :args _let_125) _let_354))) (let ((_let_359 (CONG (TRANS _let_358 _let_356 _let_344) _let_313 :args _let_125))) (let ((_let_360 (CONG (SYMM _let_358) _let_312 :args _let_125))) (let ((_let_361 (TRANS _let_360 _let_359 _let_175))) (let ((_let_362 (REFL :args (_let_26)))) (let ((_let_363 (CONG _let_362 _let_361 :args _let_125))) (let ((_let_364 (CONG _let_362 (TRANS (CONG _let_168 _let_313 :args _let_125) (SYMM _let_359) (SYMM _let_360)) :args _let_125))) (let ((_let_365 (ASSUME :args (_let_291)))) (let ((_let_366 (SYMM _let_365))) (let ((_let_367 (CONG (TRANS (SYMM _let_366) _let_364 _let_363 _let_185) _let_336 :args _let_125))) (let ((_let_368 (ASSUME :args (_let_293)))) (let ((_let_369 (SYMM _let_368))) (let ((_let_370 (TRANS _let_336 _let_312))) (let ((_let_371 (CONG _let_128 _let_313 :args _let_125))) (let ((_let_372 (ASSUME :args (_let_288)))) (let ((_let_373 (SYMM _let_372))) (let ((_let_374 (CONG (REFL :args (_let_287)) _let_339 :args _let_125))) (let ((_let_375 (ASSUME :args (_let_223)))) (let ((_let_376 (SYMM _let_375))) (let ((_let_377 (CONG (TRANS (SYMM _let_376) (CONG _let_303 _let_311 :args _let_125)) _let_147 :args _let_125))) (let ((_let_378 (CONG (REFL :args (_let_289)) (TRANS _let_313 _let_161 _let_377 _let_374 (SYMM _let_373) _let_371 (CONG _let_370 _let_339 :args _let_125)) :args _let_125))) (let ((_let_379 (SYMM _let_364))) (let ((_let_380 (SYMM _let_363))) (let ((_let_381 (SYMM _let_160))) (let ((_let_382 (ASSUME :args (_let_292)))) (let ((_let_383 (CONG (SYMM _let_370) _let_131 :args _let_125))) (let ((_let_384 (TRANS (SYMM _let_344) (SYMM _let_356)))) (let ((_let_385 (SYMM _let_135))) (let ((_let_386 (ASSUME :args (_let_239)))) (let ((_let_387 (SYMM _let_386))) (let ((_let_388 (REFL :args (tptp.sk_c2)))) (let ((_let_389 (ASSUME :args (_let_236)))) (let ((_let_390 (SYMM _let_389))) (let ((_let_391 (SYMM _let_390))) (let ((_let_392 (CONG (TRANS _let_145 _let_142 _let_138 _let_136 _let_127 _let_391) _let_388 :args _let_125))) (let ((_let_393 (CONG _let_313 _let_388 :args _let_125))) (let ((_let_394 (ASSUME :args (_let_296)))) (let ((_let_395 (ASSUME :args (_let_294)))) (let ((_let_396 (REFL :args (_let_259)))) (let ((_let_397 (not _let_234))) (let ((_let_398 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (let ((_let_399 (not _let_398))) (let ((_let_400 (or _let_399 _let_397))) (let ((_let_401 (REFL :args (_let_117)))) (let ((_let_402 (REFL :args (_let_118)))) (let ((_let_403 (REFL :args (_let_119)))) (let ((_let_404 (REFL :args (_let_120)))) (let ((_let_405 (REFL :args (_let_121)))) (let ((_let_406 (REFL :args (_let_122)))) (let ((_let_407 (and _let_57 _let_55 _let_56 _let_112 _let_114 _let_64 _let_399))) (let ((_let_408 (ASSUME :args (_let_399)))) (let ((_let_409 (=))) (let ((_let_410 (SYMM _let_145))) (let ((_let_411 (CONG _let_128 (SYMM _let_141) :args _let_125))) (let ((_let_412 (CONG (TRANS _let_309 (CONG (SYMM _let_134) _let_131 :args _let_125)) _let_128 :args _let_125))) (let ((_let_413 (TRANS _let_186 _let_412 _let_308 _let_411 _let_410))) (let ((_let_414 (and _let_236 _let_57 _let_55 _let_56 _let_112 _let_114 _let_64))) (let ((_let_415 (RESOLUTION (CNF_AND_NEG :args (_let_414)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_389 _let_132 _let_305) (SCOPE (TRANS _let_304 _let_133 _let_391) :args (_let_236 _let_56 _let_301))) :args (_let_236 _let_57 _let_55 _let_56 _let_112 _let_114 _let_64))) :args (true _let_414)))) (let ((_let_416 (and _let_235 _let_57 _let_55 _let_56 _let_112 _let_114 _let_64))) (let ((_let_417 (ASSUME :args (_let_235)))) (let ((_let_418 (SYMM _let_417))) (let ((_let_419 (SYMM _let_418))) (let ((_let_420 (RESOLUTION (CNF_AND_NEG :args (_let_416)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_143 _let_139 _let_137 _let_132 _let_129 _let_126 _let_417) (SCOPE (TRANS _let_186 _let_412 _let_308 _let_411 _let_410 _let_419 (CONG _let_388 _let_413 :args _let_125)) :args (_let_57 _let_55 _let_114 _let_56 _let_112 _let_64 _let_235))) :args (_let_235 _let_57 _let_55 _let_56 _let_112 _let_114 _let_64))) :args (true _let_416)))) (let ((_let_421 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.sk_c7 tptp.sk_c2 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_241 false _let_39)))) (let ((_let_422 (not _let_235))) (let ((_let_423 (not _let_66))) (let ((_let_424 (and _let_59 _let_66 _let_235 _let_236 _let_57 _let_55 _let_56 _let_239 _let_112 _let_114 _let_64 _let_241))) (let ((_let_425 (ASSUME :args (_let_241)))) (let ((_let_426 (SYMM _let_387))) (let ((_let_427 (TRANS _let_426 (CONG (TRANS _let_390 _let_148) _let_388 :args _let_125) (CONG _let_146 _let_388 :args _let_125)))) (let ((_let_428 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_424)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_126 _let_129 _let_132 _let_137 _let_139 _let_143 _let_95 _let_157 _let_417 _let_425 _let_389 _let_386) (SCOPE (TRANS _let_145 _let_142 _let_138 _let_136 (CONG _let_427 _let_128 :args _let_125) (SYMM (SYMM _let_425)) (CONG _let_148 (TRANS _let_418 _let_145 _let_142 _let_138 _let_136 _let_127) :args _let_125) _let_158 _let_150 (CONG _let_128 _let_146 :args _let_125)) :args (_let_64 _let_112 _let_56 _let_114 _let_55 _let_57 _let_59 _let_66 _let_235 _let_241 _let_236 _let_239))) :args (_let_59 _let_66 _let_235 _let_236 _let_57 _let_55 _let_56 _let_239 _let_112 _let_114 _let_64 _let_241))) :args (true _let_424)) :args ((or _let_123 _let_423 _let_422 _let_331 _let_122 _let_121 _let_120 _let_329 _let_119 _let_118 _let_117 _let_72 (not _let_241)))))) (let ((_let_429 (REORDERING (CNF_OR_POS :args (_let_245)) :args ((or _let_244 _let_243 (not _let_245)))))) (let ((_let_430 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_85)))) (let ((_let_431 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.sk_c7 _let_247 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_249 false _let_39)))) (let ((_let_432 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.sk_c6 _let_247 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_252 false _let_39)))) (let ((_let_433 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.sk_c2 _let_250 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_255 false _let_39)))) (let ((_let_434 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_256 _let_250 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_258 false _let_39)))) (let ((_let_435 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.sk_c2 tptp.sk_c6 _let_259 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_264 false _let_39)))) (let ((_let_436 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_26 tptp.sk_c6 _let_51 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_265 false _let_39)))) (let ((_let_437 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_109)) :args _let_108)) _let_107 :args (_let_266 false _let_106)))) (let ((_let_438 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.sk_c7 tptp.sk_c2 _let_251 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_267 false _let_39)))) (let ((_let_439 (not _let_267))) (let ((_let_440 (not _let_266))) (let ((_let_441 (not _let_265))) (let ((_let_442 (not _let_264))) (let ((_let_443 (not _let_258))) (let ((_let_444 (not _let_255))) (let ((_let_445 (not _let_252))) (let ((_let_446 (not _let_249))) (let ((_let_447 (= tptp.sk_c6 (tptp.inverse _let_256)))) (let ((_let_448 (not _let_447))) (let ((_let_449 (CONG _let_146 _let_348 :args _let_125))) (let ((_let_450 (CONG (TRANS (SYMM _let_350) _let_148) _let_348 :args _let_125))) (let ((_let_451 (CONG _let_168 _let_148 :args _let_125))) (let ((_let_452 (CONG (TRANS (CONG (TRANS _let_146 _let_134) _let_131 :args _let_125) _let_130) _let_168 :args _let_125))) (let ((_let_453 (TRANS _let_343 _let_452 _let_338))) (let ((_let_454 (SYMM _let_452))) (let ((_let_455 (TRANS (SYMM _let_449) (SYMM _let_450) _let_347))) (let ((_let_456 (CONG (TRANS _let_449 _let_455) _let_168 :args _let_125))) (let ((_let_457 (TRANS _let_355 _let_456 _let_454 _let_342))) (let ((_let_458 (REFL :args (_let_247)))) (let ((_let_459 (CONG (TRANS (CONG _let_148 _let_458 :args _let_125) _let_457 _let_453) _let_146 :args _let_125))) (let ((_let_460 (ASSUME :args (_let_249)))) (let ((_let_461 (SYMM _let_460))) (let ((_let_462 (SYMM _let_461))) (let ((_let_463 (REFL :args (_let_248)))) (let ((_let_464 (CONG _let_146 _let_463 :args _let_125))) (let ((_let_465 (ASSUME :args (_let_252)))) (let ((_let_466 (SYMM _let_465))) (let ((_let_467 (CONG _let_362 (TRANS (SYMM _let_466) _let_464 (SYMM _let_462) _let_459 _let_451 _let_175) :args _let_125))) (let ((_let_468 (SYMM _let_464))) (let ((_let_469 (SYMM _let_459))) (let ((_let_470 (CONG (TRANS (TRANS (CONG _let_455 (TRANS _let_355 _let_456 _let_338) :args _let_125) _let_454 _let_342) _let_453) _let_128 :args _let_125))) (let ((_let_471 (CONG (REFL :args (_let_257)) _let_146 :args _let_125))) (let ((_let_472 (ASSUME :args (_let_258)))) (let ((_let_473 (SYMM _let_472))) (let ((_let_474 (SYMM _let_451))) (let ((_let_475 (TRANS _let_474 _let_469 _let_462 _let_468 _let_466))) (let ((_let_476 (SYMM _let_455))) (let ((_let_477 (TRANS (CONG _let_362 _let_146 :args _let_125) _let_185))) (let ((_let_478 (CONG (TRANS _let_477 _let_476) _let_475 :args _let_125))) (let ((_let_479 (SYMM _let_426))) (let ((_let_480 (CONG (TRANS _let_146 _let_391) _let_388 :args _let_125))) (let ((_let_481 (ASSUME :args (_let_267)))) (let ((_let_482 (SYMM (SYMM _let_481)))) (let ((_let_483 (ASSUME :args (_let_255)))) (let ((_let_484 (SYMM _let_483))) (let ((_let_485 (ASSUME :args (_let_264)))) (let ((_let_486 (SYMM _let_485))) (let ((_let_487 (SYMM _let_453))) (let ((_let_488 (CONG _let_362 (TRANS (CONG _let_146 (TRANS _let_474 (CONG (TRANS _let_487 (TRANS (CONG _let_146 _let_396 :args _let_125) (CONG (TRANS _let_126 _let_335 _let_137 _let_334 _let_144 _let_419 (CONG _let_388 _let_148 :args _let_125)) _let_396 :args _let_125) (SYMM _let_486) (CONG _let_388 (SYMM _let_457) :args _let_125))) _let_148 :args _let_125) (SYMM _let_484)) :args _let_125) (SYMM _let_482) (CONG (TRANS (TRANS (CONG _let_148 _let_388 :args _let_125) _let_480 _let_479) (SYMM _let_477)) (SYMM _let_475) :args _let_125) _let_478 _let_473 _let_471 _let_470 _let_469 _let_462 _let_468 _let_466) :args _let_125))) (let ((_let_489 (ASSUME :args (_let_265)))) (let ((_let_490 (SYMM _let_489))) (let ((_let_491 (SYMM _let_471))) (let ((_let_492 (SYMM _let_488))) (let ((_let_493 (SYMM _let_467))) (let ((_let_494 (ASSUME :args (_let_266)))) (let ((_let_495 (ASSUME :args (_let_73)))) (let ((_let_496 (CONG (TRANS _let_146 _let_350) _let_348 :args _let_125))) (let ((_let_497 (CONG _let_148 _let_348 :args _let_125))) (let ((_let_498 (TRANS _let_497 _let_496 _let_347))) (let ((_let_499 (CONG (TRANS (SYMM _let_497) _let_498) _let_168 :args _let_125))) (let ((_let_500 (CONG (TRANS (TRANS (CONG _let_498 (TRANS _let_355 _let_499 _let_338) :args _let_125) _let_454 _let_342) _let_453) _let_128 :args _let_125))) (let ((_let_501 (CONG _let_148 _let_463 :args _let_125))) (let ((_let_502 (TRANS _let_343 _let_452 (SYMM _let_499) _let_354))) (let ((_let_503 (CONG (TRANS _let_487 _let_502 (CONG _let_146 _let_458 :args _let_125)) _let_148 :args _let_125))) (let ((_let_504 (TRANS _let_474 _let_503 _let_462 _let_501 _let_466))) (let ((_let_505 (CONG (TRANS _let_477 (SYMM _let_498)) _let_504 :args _let_125))) (let ((_let_506 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_495 _let_126 _let_129 _let_132 _let_137 _let_139 _let_143 _let_174 _let_337 _let_341 _let_346 _let_349 _let_353 _let_472 _let_184 _let_465 _let_460 _let_489 _let_417 _let_485 _let_483 _let_481 _let_389 _let_386) (SCOPE (FALSE_ELIM (TRANS (CONG _let_146 (CONG (TRANS _let_497 _let_496 _let_347 _let_184 (CONG _let_362 (TRANS _let_174 _let_474 _let_503 _let_462 _let_501 _let_466) :args _let_125) (CONG _let_362 (TRANS _let_465 (SYMM _let_501) _let_461 (SYMM _let_503) (SYMM _let_500) _let_491 _let_472 (SYMM _let_505) (CONG (TRANS _let_477 _let_427) _let_504 :args _let_125) _let_482 (CONG _let_148 (TRANS _let_484 (CONG (TRANS (TRANS (CONG _let_388 (SYMM _let_502) :args _let_125) _let_486 (CONG (TRANS (CONG _let_388 _let_146 :args _let_125) _let_418 _let_145 _let_142 _let_138 _let_136 _let_127) _let_396 :args _let_125) (CONG _let_148 _let_396 :args _let_125)) _let_453) _let_146 :args _let_125) _let_451) :args _let_125)) :args _let_125) _let_490 _let_505 _let_473 _let_471 _let_500 _let_451 _let_175) :args _let_333) :args _let_409) (FALSE_INTRO _let_495))) :args (_let_73 _let_64 _let_112 _let_56 _let_114 _let_55 _let_57 _let_52 _let_253 _let_261 _let_246 _let_231 _let_263 _let_258 _let_60 _let_252 _let_249 _let_265 _let_235 _let_264 _let_255 _let_267 _let_236 _let_239))) (MODUS_PONENS (AND_INTRO _let_126 _let_129 _let_132 _let_137 _let_139 _let_143 _let_349 _let_346 _let_184 _let_174 _let_337 _let_341 _let_353 _let_460 _let_465 _let_472 _let_386 _let_389 _let_481 _let_483 _let_485 _let_417 _let_489 _let_494) (SCOPE (TRANS _let_145 _let_142 _let_138 _let_136 _let_127 _let_391 (CONG (TRANS (SYMM (SYMM _let_494)) (CONG _let_476 _let_388 :args _let_125) (CONG (TRANS _let_455 (TRANS _let_184 _let_493 _let_492 _let_490 _let_478 _let_473 _let_471 _let_470 _let_451) _let_175 _let_148) _let_388 :args _let_125) _let_480 _let_479 _let_184 _let_493 _let_492 _let_490 _let_478 _let_473 _let_471 _let_470 _let_451 _let_175) :args _let_333) (CONG (TRANS _let_174 _let_474 (SYMM _let_470) _let_491 _let_472 (SYMM _let_478) (SYMM _let_490) _let_488 _let_467 _let_185 (SYMM _let_347) _let_450 _let_449) :args _let_333)) :args (_let_64 _let_112 _let_56 _let_114 _let_55 _let_57 _let_231 _let_246 _let_60 _let_52 _let_253 _let_261 _let_263 _let_249 _let_252 _let_258 _let_239 _let_236 _let_267 _let_255 _let_264 _let_235 _let_265 _let_266)))) :args (_let_235 _let_236 _let_57 _let_55 _let_56 _let_231 _let_52 _let_60 _let_239 _let_112 _let_246 _let_114 _let_64 _let_249 _let_252 _let_253 _let_255 _let_258 _let_261 _let_263 _let_264 _let_265 _let_266 _let_267 _let_73)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_448)))) (TRUE_INTRO (ASSUME :args (_let_447))))) :args (_let_448 _let_447)) :args ((not (and _let_235 _let_236 _let_57 _let_55 _let_56 _let_231 _let_52 _let_60 _let_239 _let_112 _let_246 _let_114 _let_64 _let_249 _let_252 _let_253 _let_255 _let_258 _let_261 _let_263 _let_264 _let_265 _let_266 _let_267 _let_73)) SB_LITERAL))) (CONG (REFL :args (_let_422)) (REFL :args (_let_331)) _let_406 _let_405 _let_404 (REFL :args (_let_232)) (REFL :args (_let_53)) (REFL :args (_let_330)) (REFL :args (_let_329)) _let_403 (REFL :args (_let_328)) _let_402 _let_401 (REFL :args (_let_446)) (REFL :args (_let_445)) (REFL :args (_let_324)) (REFL :args (_let_444)) (REFL :args (_let_443)) (REFL :args (_let_323)) (REFL :args (_let_322)) (REFL :args (_let_442)) (REFL :args (_let_441)) (REFL :args (_let_440)) (REFL :args (_let_439)) (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_68))) :args _let_89)) :args ((or _let_422 _let_331 _let_122 _let_121 _let_120 _let_232 _let_53 _let_330 _let_329 _let_119 _let_328 _let_118 _let_117 _let_446 _let_445 _let_324 _let_444 _let_443 _let_323 _let_322 _let_442 _let_441 _let_68 _let_440 _let_439))))) (let ((_let_507 (and _let_57 _let_55 _let_56 _let_112 _let_114 _let_64 _let_397))) (let ((_let_508 (ASSUME :args (_let_397)))) (let ((_let_509 (MACRO_RESOLUTION_TRUST _let_314 _let_92 _let_506 _let_438 _let_437 _let_436 _let_435 _let_321 _let_320 _let_434 _let_433 _let_318 _let_432 _let_431 _let_110 _let_116 _let_316 _let_115 _let_315 _let_100 _let_430 _let_210 _let_429 _let_415 _let_110 _let_116 _let_115 _let_428 _let_421 _let_151 _let_110 _let_116 _let_115 _let_315 _let_95 _let_420 _let_110 _let_116 _let_115 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_236 _let_42))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_235 _let_42))) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_507)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_508 _let_132 _let_305) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_304 _let_133) (REFL :args (_let_4)) :args _let_409) (FALSE_INTRO _let_508))) :args (_let_397 _let_56 _let_301))) :args (_let_57 _let_55 _let_56 _let_112 _let_114 _let_64 _let_397))) :args (true _let_507)) (CONG _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 (MACRO_SR_PRED_INTRO :args ((= (not _let_397) _let_234))) (REFL :args (_let_43)) :args _let_89)) :args ((or _let_122 _let_121 _let_120 _let_43 _let_119 _let_118 _let_117 _let_234))) _let_110 _let_116 _let_115 (MACRO_RESOLUTION_TRUST _let_506 _let_438 _let_437 _let_436 _let_435 _let_321 _let_320 _let_434 _let_433 _let_318 _let_432 _let_431 _let_110 _let_116 _let_316 _let_115 _let_315 _let_100 _let_314 _let_92 _let_430 _let_210 _let_429 _let_428 _let_421 _let_151 _let_110 _let_116 _let_115 _let_315 _let_95 _let_420 _let_110 _let_116 _let_115 _let_415 _let_110 _let_116 _let_115 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_236 _let_44))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_235 _let_44))) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_407)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_408 _let_143 _let_139 _let_137 _let_132 _let_129 _let_126) (SCOPE (FALSE_ELIM (TRANS (CONG _let_413 (CONG (REFL :args (tptp.sk_c1)) (SYMM _let_413) :args _let_125) :args _let_409) (FALSE_INTRO _let_408))) :args (_let_399 _let_57 _let_55 _let_114 _let_56 _let_112 _let_64))) :args (_let_57 _let_55 _let_56 _let_112 _let_114 _let_64 _let_399))) :args (true _let_407)) (CONG _let_406 _let_405 _let_404 _let_403 _let_402 _let_401 (MACRO_SR_PRED_INTRO :args ((= (not _let_399) _let_398))) (REFL :args (_let_45)) :args _let_89)) :args ((or _let_122 _let_121 _let_120 _let_45 _let_119 _let_118 _let_117 _let_398))) _let_110 _let_116 _let_115 (REORDERING (CNF_OR_POS :args (_let_400)) :args ((or _let_397 _let_399 (not _let_400)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_217 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_216)) :args _let_215)) _let_218 _let_275 _let_274 _let_271 _let_270 _let_269 :args ((or _let_122 _let_121 _let_120 _let_297 _let_397) false _let_267 false _let_266 false _let_265 false _let_264 false _let_263 false _let_261 false _let_258 false _let_255 false _let_253 false _let_252 false _let_249 false _let_64 false _let_114 false _let_246 false _let_112 false _let_239 false _let_60 false _let_52 true _let_54 true _let_47 true _let_68 true _let_245 false _let_72 false _let_241 false _let_66 false _let_64 false _let_114 false _let_112 false _let_239 false _let_59 false _let_238 false _let_64 false _let_114 false _let_112 false _let_242 false _let_64 false _let_114 false _let_112 false _let_236 false _let_235 true _let_44 false _let_64 false _let_114 false _let_112 true _let_398 false _let_400 false _let_77 false _let_231 true _let_233 true _let_78 true _let_229 false _let_227)) _let_218 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_332)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_126 _let_129 _let_132 _let_137 _let_139 _let_143 _let_161 _let_184 _let_174 _let_337 _let_341 _let_346 _let_349 _let_353 _let_312 _let_365 _let_368 _let_372 _let_302 _let_375 _let_165 _let_159 _let_382 _let_386 _let_389 _let_394 _let_395 _let_95) (SCOPE (TRANS _let_150 (SYMM _let_371) _let_373 (SYMM _let_374) (SYMM _let_377) _let_162 _let_381 (CONG (TRANS _let_337 _let_345 _let_342 (CONG _let_339 _let_396 :args _let_125) (CONG (SYMM _let_361) _let_396 :args _let_125) (SYMM (SYMM _let_395)) (CONG (SYMM _let_384) _let_344 :args _let_125) (CONG _let_168 (TRANS _let_337 (CONG (TRANS _let_386 (SYMM _let_392) (SYMM _let_393)) _let_168 :args _let_125)) :args _let_125) (SYMM _let_394) (CONG (TRANS (TRANS (CONG _let_168 (TRANS _let_393 _let_392 _let_387 _let_129 _let_385 (SYMM _let_383)) :args _let_125) (CONG _let_384 (TRANS _let_383 _let_135 _let_130 _let_346 (SYMM _let_351) _let_357) :args _let_125) (SYMM _let_382) (CONG _let_361 _let_348 :args _let_125) _let_351 _let_347) (TRANS _let_184 _let_380 _let_379 _let_366 _let_378 _let_369 _let_367 _let_162) _let_339) _let_168 :args _let_125) (CONG (TRANS _let_336 _let_381) _let_168 :args _let_125) _let_166 _let_184 _let_380 _let_379 _let_366 _let_378 _let_369 _let_367 _let_162 _let_145 _let_142 _let_138 _let_136 _let_127) :args _let_333)) :args (_let_64 _let_112 _let_56 _let_114 _let_55 _let_57 _let_65 _let_60 _let_52 _let_253 _let_261 _let_246 _let_231 _let_263 _let_279 _let_291 _let_293 _let_288 _let_276 _let_223 _let_61 _let_49 _let_292 _let_239 _let_236 _let_296 _let_294 _let_59))) :args (_let_59 _let_236 _let_57 _let_55 _let_56 _let_231 _let_279 _let_276 _let_52 _let_49 _let_60 _let_239 _let_112 _let_246 _let_223 _let_61 _let_288 _let_114 _let_64 _let_65 _let_291 _let_253 _let_292 _let_293 _let_294 _let_296 _let_261 _let_263))) :args (true _let_332)) :args ((or _let_58 _let_123 _let_331 _let_122 _let_121 _let_120 _let_232 _let_280 _let_277 _let_53 _let_50 _let_330 _let_329 _let_119 _let_328 _let_327 _let_326 (not _let_288) _let_118 _let_117 _let_325 (not _let_291) _let_324 (not _let_292) (not _let_293) (not _let_294) (not _let_296) _let_323 _let_322))) _let_321 _let_320 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_295 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_319)) :args _let_102)) _let_103 :args (_let_296 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_250 tptp.sk_c6 _let_259 QUANTIFIERS_INST_E_MATCHING _let_319)) :args _let_102)) _let_103 :args (_let_294 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_289 _let_278 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_319)) :args _let_102)) _let_103 :args (_let_293 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_250 tptp.sk_c6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_319)) :args _let_102)) _let_103 :args (_let_292 false _let_39)) _let_318 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_278 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_291 false _let_39)) _let_111 _let_110 _let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_288 false _let_39)) _let_101 _let_317 _let_316 _let_115 _let_315 _let_100 _let_95 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_236 _let_58))) _let_94 _let_314 _let_219 _let_151 _let_95 _let_92 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_85)) (REORDERING (CNF_OR_POS :args (_let_286)) :args ((or _let_285 _let_284 (not _let_286)))) (RESOLUTION (CNF_AND_NEG :args (_let_306)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_143 _let_139 _let_137 _let_132 _let_129 _let_126 _let_312) (SCOPE (TRANS _let_186 _let_310 _let_308 _let_307 _let_144 (SYMM _let_313) (CONG _let_311 (TRANS _let_186 _let_310 _let_308 _let_307 _let_144) :args _let_125)) :args (_let_57 _let_55 _let_114 _let_56 _let_112 _let_64 _let_279))) :args (_let_57 _let_55 _let_56 _let_279 _let_112 _let_114 _let_64))) :args (true _let_306)) _let_110 _let_116 _let_115 (RESOLUTION (CNF_AND_NEG :args (_let_300)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_302 _let_132 _let_305) (SCOPE (TRANS _let_304 _let_133 (SYMM _let_303)) :args (_let_276 _let_56 _let_301))) :args (_let_57 _let_55 _let_56 _let_276 _let_112 _let_114 _let_64))) :args (true _let_300)) _let_110 _let_116 _let_115 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_281 1)) (CONG _let_299 (MACRO_SR_PRED_INTRO :args ((= (not _let_277) _let_276))) :args _let_89)) :args ((or _let_276 _let_281))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_281 0)) (CONG _let_299 (MACRO_SR_PRED_INTRO :args ((= (not _let_280) _let_279))) :args _let_89)) :args ((or _let_279 _let_281))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_298)) :args _let_298)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_297) _let_79))) (REFL :args ((not _let_281))) :args _let_89)) _let_275 _let_274 _let_271 _let_270 _let_269 :args ((or _let_79 _let_122 _let_121 _let_120) false _let_263 false _let_261 false _let_296 false _let_294 false _let_293 false _let_292 false _let_253 false _let_291 false _let_65 false _let_64 false _let_114 false _let_288 false _let_61 false _let_223 false _let_246 false _let_112 false _let_239 false _let_60 false _let_59 false _let_236 false _let_49 false _let_52 true _let_58 false _let_66 false _let_59 true _let_54 true _let_47 true _let_286 false _let_283 false _let_64 false _let_114 false _let_112 false _let_282 false _let_64 false _let_114 false _let_112 false _let_276 false _let_279 true _let_281 false _let_231 true _let_233 true _let_78 true _let_229 false _let_227)) _let_275 _let_274 _let_271 _let_270 _let_269 :args ((or _let_122 _let_121 _let_120) true _let_54 true _let_52 false _let_267 false _let_266 false _let_265 false _let_264 false _let_263 false _let_261 false _let_258 false _let_255 false _let_253 false _let_252 false _let_249 false _let_64 false _let_114 false _let_246 false _let_112 false _let_239 false _let_60 true _let_47 true _let_68 true _let_245 false _let_242 false _let_64 false _let_114 false _let_112 false _let_72 false _let_241 false _let_66 false _let_64 false _let_114 false _let_112 false _let_239 false _let_59 false _let_238 false _let_64 false _let_114 false _let_112 false _let_236 false _let_235 true _let_42 false _let_64 false _let_114 false _let_112 true _let_234 false _let_77 false _let_79 false _let_231 true _let_233 true _let_78 true _let_229 false _let_227)))) (let ((_let_510 (and _let_59 _let_66 _let_57 _let_56 _let_58 _let_52 _let_49 _let_60 _let_112 _let_223 _let_61 _let_63 _let_64 _let_65 _let_224 _let_67 _let_225 _let_226))) (let ((_let_511 (TRANS _let_201 _let_158 _let_156))) (let ((_let_512 (CONG _let_511 _let_175 :args _let_125))) (let ((_let_513 (CONG (TRANS (TRANS _let_178 _let_149 _let_156) (SYMM _let_511)) _let_179 :args _let_125))) (let ((_let_514 (TRANS _let_160 _let_163 _let_198 _let_172 _let_201 _let_158 _let_95 _let_182 _let_203 _let_181 _let_513 _let_512 _let_185))) (let ((_let_515 (TRANS _let_159 _let_514))) (let ((_let_516 (CONG _let_515 _let_128 :args _let_125))) (let ((_let_517 (SYMM _let_203))) (let ((_let_518 (SYMM _let_513))) (let ((_let_519 (SYMM _let_512))) (let ((_let_520 (CONG _let_175 _let_131 :args _let_125))) (let ((_let_521 (ASSUME :args (_let_225)))) (let ((_let_522 (ASSUME :args (_let_224)))) (let ((_let_523 (TRANS (SYMM _let_197) (SYMM _let_514) _let_160))) (let ((_let_524 (CONG _let_523 (TRANS (SYMM _let_196) _let_166 _let_129 _let_385 (SYMM _let_520)) :args _let_125))) (let ((_let_525 (CONG (TRANS _let_376 _let_197) (SYMM _let_523) :args _let_125))) (let ((_let_526 (CONG _let_375 _let_147 :args _let_125))) (let ((_let_527 (REFL :args (tptp.sk_c4)))) (let ((_let_528 (ASSUME :args (_let_226)))) (let ((_let_529 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_56 _let_44))))) (let ((_let_530 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_56 _let_42))))) (let ((_let_531 (MACRO_RESOLUTION_TRUST _let_84 _let_530 _let_529 :args ((or _let_56 _let_83) false _let_42 false _let_44)))) (let ((_let_532 (MACRO_RESOLUTION_TRUST _let_88 (MACRO_RESOLUTION_TRUST _let_92 (MACRO_RESOLUTION_TRUST _let_314 (MACRO_RESOLUTION_TRUST _let_84 _let_221 _let_220 _let_509 _let_531 _let_88 _let_92 (MACRO_RESOLUTION_TRUST _let_219 _let_151 _let_95 _let_214 _let_218 _let_88 _let_209 _let_210 _let_84 _let_187 _let_152 _let_151 _let_111 _let_110 _let_105 _let_101 _let_100 _let_95 _let_207 _let_152 _let_188 _let_151 _let_111 _let_110 _let_105 _let_101 _let_100 _let_95 _let_208 _let_152 _let_188 _let_151 _let_111 _let_110 _let_105 _let_101 _let_100 _let_95 _let_530 _let_529 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_56 _let_58))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_510)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_521 _let_522 _let_161 _let_528 _let_157 _let_165 _let_132 _let_170 _let_95 _let_174 _let_159 _let_143 _let_184 _let_180 _let_154 _let_129 _let_375 _let_126) (SCOPE (TRANS (SYMM (SYMM _let_528)) (CONG (SYMM _let_515) _let_527 :args _let_125) (CONG (TRANS _let_159 _let_514 (TRANS _let_184 _let_519 _let_518 _let_180 _let_517 _let_178 _let_149 _let_157 _let_516 _let_127)) _let_527 :args _let_125) _let_144 _let_163 _let_526 _let_525 _let_524 (CONG (TRANS _let_159 _let_514 (TRANS _let_184 _let_519 _let_518 _let_180 _let_517 _let_178 _let_149 _let_157 (SYMM _let_201) _let_171 (SYMM _let_198) _let_526 _let_525 _let_524 (SYMM _let_522) (CONG (SYMM _let_199) _let_131 :args _let_125) (CONG _let_515 _let_131 :args _let_125) (SYMM _let_521))) (TRANS _let_520 _let_135 _let_130 _let_184 _let_519 _let_518 _let_180 _let_517 _let_178 _let_149 _let_157 _let_516 _let_127 _let_174) :args _let_125) (CONG _let_131 _let_175 :args _let_125)) :args (_let_225 _let_224 _let_65 _let_226 _let_66 _let_61 _let_56 _let_63 _let_59 _let_52 _let_49 _let_57 _let_60 _let_67 _let_58 _let_112 _let_223 _let_64))) :args (_let_59 _let_66 _let_57 _let_56 _let_58 _let_52 _let_49 _let_60 _let_112 _let_223 _let_61 _let_63 _let_64 _let_65 _let_224 _let_67 _let_225 _let_226))) :args (true _let_510)) :args ((or _let_55 _let_123 _let_423 (not _let_58) _let_122 _let_120 _let_53 _let_50 _let_330 _let_119 _let_327 _let_326 (not _let_63) _let_117 _let_325 (not _let_224) (not _let_67) (not _let_225) (not _let_226)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_109)) :args _let_108)) _let_107 :args (_let_226 false _let_106)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_109)) :args _let_108)) _let_107 :args (_let_225 false _let_106)) _let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.sk_c6 _let_51 tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING _let_319)) :args _let_102)) _let_103 :args (_let_224 false _let_39)) _let_151 _let_111 _let_110 _let_105 _let_101 _let_317 _let_115 _let_100 _let_95 _let_94 _let_314 _let_80 _let_509 :args ((or _let_122 _let_120 _let_54) false _let_226 false _let_225 false _let_67 false _let_224 false _let_66 false _let_65 false _let_64 false _let_63 false _let_61 false _let_223 false _let_112 false _let_60 false _let_59 false _let_49 false _let_52 false _let_58 true _let_55)) (MACRO_RESOLUTION_TRUST _let_219 _let_151 _let_95 _let_214 _let_218 _let_88 _let_209 _let_210 _let_84 _let_187 _let_152 _let_151 _let_111 _let_110 _let_105 _let_101 _let_100 _let_95 _let_207 _let_152 _let_188 _let_151 _let_111 _let_110 _let_105 _let_101 _let_100 _let_95 _let_208 _let_152 _let_188 _let_151 _let_111 _let_110 _let_105 _let_101 _let_100 _let_95 _let_221 _let_220 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_57 _let_58))) :args ((or _let_57 _let_53 _let_50) false _let_66 false _let_59 true _let_78 true _let_79 true _let_47 true _let_75 true _let_77 true _let_46 false _let_68 false _let_67 false _let_66 false _let_65 false _let_64 false _let_63 false _let_61 false _let_60 false _let_59 false _let_71 false _let_67 false _let_69 false _let_66 false _let_65 false _let_64 false _let_63 false _let_61 false _let_60 false _let_59 false _let_72 false _let_67 false _let_69 false _let_66 false _let_65 false _let_64 false _let_63 false _let_61 false _let_60 false _let_59 false _let_42 false _let_44 false _let_58)) _let_94 :args ((or _let_53 _let_54) false _let_66 false _let_59 true _let_78 true _let_79 true _let_47 true _let_75 true _let_77 true _let_46 false _let_68 false _let_67 false _let_66 false _let_65 false _let_64 false _let_63 false _let_61 false _let_60 false _let_59 false _let_71 false _let_67 false _let_69 false _let_66 false _let_65 false _let_64 false _let_63 false _let_61 false _let_60 false _let_59 false _let_72 false _let_67 false _let_69 false _let_66 false _let_65 false _let_64 false _let_63 false _let_61 false _let_60 false _let_59 false _let_42 false _let_44 false _let_58 true _let_56 false _let_57 false _let_49)) (MACRO_RESOLUTION_TRUST _let_219 _let_151 _let_95 _let_218 _let_214 _let_210 _let_209 _let_208 _let_152 _let_188 _let_151 _let_111 _let_110 _let_105 _let_101 _let_100 _let_95 _let_207 _let_152 _let_188 _let_151 _let_111 _let_110 _let_105 _let_101 _let_100 _let_95 _let_187 _let_152 _let_151 _let_111 _let_110 _let_105 _let_101 _let_100 _let_95 _let_94 _let_92 _let_88 _let_84 _let_82 _let_81 _let_80 :args ((or _let_55 _let_53) false _let_66 false _let_59 true _let_79 true _let_78 true _let_77 true _let_75 false _let_72 false _let_67 false _let_69 false _let_66 false _let_65 false _let_64 false _let_63 false _let_61 false _let_60 false _let_59 false _let_71 false _let_67 false _let_69 false _let_66 false _let_65 false _let_64 false _let_63 false _let_61 false _let_60 false _let_59 false _let_68 false _let_67 false _let_66 false _let_65 false _let_64 false _let_63 false _let_61 false _let_60 false _let_59 false _let_49 true _let_54 true _let_47 true _let_46 false _let_42 false _let_44 false _let_58)) :args (_let_53 false _let_42 false _let_44 true _let_57 false _let_56 false _let_46 false _let_47 false _let_54 false _let_55)) :args (_let_54 true _let_52)) :args (_let_47 false _let_54)) :args (_let_46 false _let_47)))) (let ((_let_533 (MACRO_RESOLUTION_TRUST _let_509 (MACRO_RESOLUTION_TRUST _let_84 _let_532 _let_221 _let_220 :args (_let_57 false _let_46 false _let_42 false _let_44)) (MACRO_RESOLUTION_TRUST _let_531 _let_532 :args (_let_56 false _let_46)) :args (_let_121 false _let_57 false _let_56)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_84 (MACRO_RESOLUTION_TRUST _let_82 _let_533 :args (_let_42 true _let_55)) (MACRO_RESOLUTION_TRUST _let_81 _let_533 :args (_let_44 true _let_55)) _let_532 :args (false false _let_42 false _let_44 false _let_46)) :args (_let_41 _let_40 _let_39 _let_38 (or _let_33 _let_17) (or _let_33 _let_14) _let_36 _let_35 _let_34 (or _let_27 _let_17) _let_31 _let_30 _let_29 _let_28 _let_25 _let_24 _let_23 _let_22 _let_21 _let_18 _let_15 _let_12 _let_9 _let_6 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.92/1.10  )
% 0.92/1.11  % SZS output end Proof for GRP304-1
% 0.92/1.11  % cvc5---1.0.5 exiting
% 0.92/1.11  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------