TSTP Solution File: GRP299-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP299-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.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 00:25:32 EDT 2023

% Result   : Unsatisfiable 6.33s 6.69s
% Output   : Proof 6.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP299-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 28 20:30:32 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.22/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.WtMTK2KC3R/cvc5---1.0.5_16445.p...
% 0.22/0.49  ------- get file name : TPTP file name is GRP299-1
% 0.22/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16445.smt2...
% 0.22/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 6.33/6.69  % SZS status Unsatisfiable for GRP299-1
% 6.33/6.69  % SZS output start Proof for GRP299-1
% 6.33/6.74  (
% 6.33/6.74  (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 X2 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X2) tptp.sk_c7)) (not (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.multiply X3 X4) tptp.sk_c6)) (not (= (tptp.inverse X3) X4)) (not (= (tptp.multiply X4 tptp.sk_c7) tptp.sk_c6)))))) (let ((_let_2 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (let ((_let_3 (= _let_2 tptp.sk_c6))) (let ((_let_4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (let ((_let_5 (= _let_4 tptp.sk_c6))) (let ((_let_6 (tptp.inverse tptp.sk_c3))) (let ((_let_7 (= _let_6 tptp.sk_c4))) (let ((_let_8 (tptp.multiply tptp.sk_c3 tptp.sk_c4))) (let ((_let_9 (= _let_8 tptp.sk_c6))) (let ((_let_10 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (let ((_let_11 (= _let_10 tptp.sk_c7))) (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_c6 tptp.sk_c7))) (let ((_let_17 (= _let_16 tptp.sk_c5))) (let ((_let_18 (tptp.inverse tptp.sk_c1))) (let ((_let_19 (= _let_18 tptp.sk_c7))) (let ((_let_20 (or _let_19 _let_3))) (let ((_let_21 (or _let_19 _let_7))) (let ((_let_22 (or _let_19 _let_9))) (let ((_let_23 (or _let_19 _let_11))) (let ((_let_24 (or _let_19 _let_14))) (let ((_let_25 (or _let_19 _let_17))) (let ((_let_26 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (let ((_let_27 (= _let_26 tptp.sk_c6))) (let ((_let_28 (or _let_27 _let_3))) (let ((_let_29 (or _let_27 _let_7))) (let ((_let_30 (or _let_27 _let_9))) (let ((_let_31 (or _let_27 _let_11))) (let ((_let_32 (or _let_27 _let_14))) (let ((_let_33 (or _let_27 _let_17))) (let ((_let_34 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (let ((_let_35 (= _let_34 tptp.sk_c5))) (let ((_let_36 (or _let_35 _let_7))) (let ((_let_37 (or _let_35 _let_9))) (let ((_let_38 (or _let_35 _let_11))) (let ((_let_39 (or _let_35 _let_14))) (let ((_let_40 (or _let_35 _let_17))) (let ((_let_41 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_42 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_43 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_44 (= tptp.sk_c7 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c6)))) (let ((_let_45 (not _let_44))) (let ((_let_46 (= tptp.sk_c7 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45))) (let ((_let_49 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))))) (let ((_let_50 (not _let_48))) (let ((_let_51 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c6))) (let ((_let_52 (tptp.multiply tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_53 (tptp.multiply _let_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_54 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_55 (tptp.multiply _let_54 _let_53))) (let ((_let_56 (tptp.multiply _let_55 _let_51))) (let ((_let_57 (tptp.multiply _let_56 tptp.sk_c6))) (let ((_let_58 (tptp.inverse _let_56))) (let ((_let_59 (tptp.multiply _let_58 _let_56))) (let ((_let_60 (= (tptp.multiply _let_59 tptp.sk_c6) (tptp.multiply _let_58 _let_57)))) (let ((_let_61 (= tptp.identity _let_59))) (let ((_let_62 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_63 (tptp.multiply tptp.sk_c4 _let_62))) (let ((_let_64 (tptp.multiply (tptp.multiply _let_54 tptp.sk_c4) _let_62))) (let ((_let_65 (= _let_64 (tptp.multiply _let_54 _let_63)))) (let ((_let_66 (tptp.multiply _let_51 tptp.sk_c6))) (let ((_let_67 (= _let_57 (tptp.multiply _let_55 _let_66)))) (let ((_let_68 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_69 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_70 (tptp.multiply _let_69 _let_68))) (let ((_let_71 (tptp.multiply _let_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_72 (= (tptp.multiply _let_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_70))) (let ((_let_73 (tptp.multiply _let_18 tptp.sk_c1))) (let ((_let_74 (= (tptp.multiply _let_73 tptp.sk_c7) (tptp.multiply _let_18 _let_26)))) (let ((_let_75 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (let ((_let_76 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_77 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_76))) (let ((_let_78 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_79 (= _let_63 _let_53))) (let ((_let_80 (tptp.multiply _let_62 tptp.sk_c7))) (let ((_let_81 (= (tptp.multiply _let_80 tptp.sk_c6) (tptp.multiply _let_62 _let_34)))) (let ((_let_82 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (let ((_let_83 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c7))) (let ((_let_84 (= _let_80 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_83)))) (let ((_let_85 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (let ((_let_86 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_85))) (let ((_let_87 (= (tptp.multiply _let_83 tptp.sk_c7) _let_86))) (let ((_let_88 (= tptp.identity _let_71))) (let ((_let_89 (= tptp.identity _let_73))) (let ((_let_90 (= tptp.sk_c6 _let_83))) (let ((_let_91 (= tptp.sk_c7 _let_18))) (let ((_let_92 (= tptp.sk_c6 _let_26))) (let ((_let_93 (= tptp.sk_c6 _let_4))) (let ((_let_94 (= tptp.sk_c5 _let_34))) (let ((_let_95 (_let_41))) (let ((_let_96 (ASSUME :args _let_95))) (let ((_let_97 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_58 _let_56 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_95)) _let_96 :args (_let_60 false _let_41)))) (let ((_let_99 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_42)) (MACRO_SR_EQ_INTRO :args (_let_42 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (_let_99))) (let ((_let_102 ((tptp.inverse X)))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_56 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)) _let_100 :args (_let_61 false _let_99)))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_54 tptp.sk_c4 _let_62 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_95)) _let_96 :args (_let_65 false _let_41)))) (let ((_let_105 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_55 _let_51 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_95)) _let_96 :args (_let_67 false _let_41)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_95)) _let_96 :args (_let_72 false _let_41)))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_18 tptp.sk_c1 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_95)) _let_96 :args (_let_74 false _let_41)))) (let ((_let_109 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_111 (_let_109))) (let ((_let_112 ((tptp.multiply tptp.identity X)))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) _let_110 :args (_let_75 false _let_109)))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) _let_110 :args (_let_77 false _let_109)))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) _let_110 :args (_let_78 false _let_109)))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_95))) _let_96 :args (_let_79 false _let_41)))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_62 tptp.sk_c7 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_95)) _let_96 :args (_let_81 false _let_41)))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_112)) :args _let_111)) _let_110 :args (_let_82 false _let_109)))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_95)) _let_96 :args (_let_84 false _let_41)))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c7 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_95)) _let_96 :args (_let_87 false _let_41)))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)) _let_100 :args (_let_88 false _let_99)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)) _let_100 :args (_let_89 false _let_99)))) (let ((_let_123 (not _let_90))) (let ((_let_124 (or _let_123 _let_47))) (let ((_let_125 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X2))))))) (let ((_let_126 (not _let_124))) (let ((_let_127 (not _let_91))) (let ((_let_128 (not _let_92))) (let ((_let_129 (or _let_128 _let_127))) (let ((_let_130 (not _let_125))) (let ((_let_131 (= tptp.sk_c7 _let_10))) (let ((_let_132 (not _let_129))) (let ((_let_133 (= tptp.sk_c7 _let_13))) (let ((_let_134 (not _let_131))) (let ((_let_135 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 _let_18)))) (let ((_let_136 (= tptp.sk_c6 (tptp.multiply _let_18 tptp.sk_c7)))) (let ((_let_137 (= tptp.sk_c5 _let_16))) (let ((_let_138 (not _let_136))) (let ((_let_139 (not _let_135))) (let ((_let_140 (or _let_139 _let_138))) (let ((_let_141 (forall ((X3 $$unsorted)) (let ((_let_1 (tptp.inverse X3))) (or (not (= tptp.sk_c6 (tptp.multiply X3 _let_1))) (not (= tptp.sk_c6 (tptp.multiply _let_1 tptp.sk_c7)))))))) (let ((_let_142 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_133 _let_92))))) (let ((_let_143 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_133 _let_91))))) (let ((_let_144 (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_128 _let_127 _let_132))))) (let ((_let_145 (_let_125))) (let ((_let_146 ((tptp.multiply X2 tptp.sk_c7)))) (let ((_let_147 (ASSUME :args _let_145))) (let ((_let_148 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_145)))) (let ((_let_149 (or))) (let ((_let_150 (_let_130))) (let ((_let_151 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_150)) :args _let_150)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_130) _let_125))) (REFL :args (_let_126)) :args _let_149)))) (let ((_let_152 (REFL :args (_let_124)))) (let ((_let_153 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_124 0)) (CONG _let_152 (MACRO_SR_PRED_INTRO :args ((= (not _let_123) _let_90))) :args _let_149)) :args ((or _let_90 _let_124))))) (let ((_let_154 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_124 1)) (CONG _let_152 (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_46))) :args _let_149)) :args ((or _let_46 _let_124))))) (let ((_let_155 (and _let_92 _let_91))) (let ((_let_156 (APPLY_UF tptp.multiply))) (let ((_let_157 (ASSUME :args (_let_91)))) (let ((_let_158 (SYMM _let_157))) (let ((_let_159 (SYMM _let_158))) (let ((_let_160 (REFL :args (tptp.sk_c1)))) (let ((_let_161 (ASSUME :args (_let_92)))) (let ((_let_162 (SYMM _let_161))) (let ((_let_163 (SYMM _let_162))) (let ((_let_164 (RESOLUTION (CNF_AND_NEG :args (_let_155)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_157 _let_161) (SCOPE (TRANS _let_163 (CONG _let_160 _let_159 :args _let_156)) :args (_let_91 _let_92))) :args (_let_92 _let_91))) :args (true _let_155)))) (let ((_let_165 (not _let_74))) (let ((_let_166 (not _let_82))) (let ((_let_167 (not _let_88))) (let ((_let_168 (not _let_89))) (let ((_let_169 (not _let_93))) (let ((_let_170 (not _let_94))) (let ((_let_171 (and _let_94 _let_92 _let_91 _let_93 _let_89 _let_88 _let_82 _let_74))) (let ((_let_172 (ASSUME :args (_let_82)))) (let ((_let_173 (SYMM _let_172))) (let ((_let_174 (REFL :args (tptp.sk_c7)))) (let ((_let_175 (ASSUME :args (_let_88)))) (let ((_let_176 (SYMM _let_175))) (let ((_let_177 (CONG _let_176 _let_174 :args _let_156))) (let ((_let_178 (TRANS _let_177 _let_173))) (let ((_let_179 (SYMM _let_178))) (let ((_let_180 (ASSUME :args (_let_89)))) (let ((_let_181 (SYMM (SYMM _let_180)))) (let ((_let_182 (ASSUME :args (_let_74)))) (let ((_let_183 (SYMM _let_182))) (let ((_let_184 (SYMM _let_183))) (let ((_let_185 (ASSUME :args (_let_94)))) (let ((_let_186 (SYMM _let_185))) (let ((_let_187 (SYMM _let_186))) (let ((_let_188 (REFL :args (tptp.sk_c5)))) (let ((_let_189 (ASSUME :args (_let_93)))) (let ((_let_190 (SYMM _let_189))) (let ((_let_191 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_171)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_172 _let_175 _let_157 _let_180 _let_182 _let_161 _let_185 _let_189) (SCOPE (TRANS (SYMM _let_190) (CONG _let_188 _let_179 :args _let_156) (CONG (TRANS _let_187 (CONG _let_159 _let_163 :args _let_156) (SYMM _let_184) (CONG (SYMM _let_181) _let_174 :args _let_156) _let_173) _let_178 :args _let_156) (CONG _let_159 _let_179 :args _let_156) (CONG (REFL :args (_let_18)) _let_178 :args _let_156)) :args (_let_82 _let_88 _let_91 _let_89 _let_74 _let_92 _let_94 _let_93))) :args (_let_94 _let_92 _let_91 _let_93 _let_89 _let_88 _let_82 _let_74))) :args (true _let_171)) :args ((or _let_170 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_let_62) (tptp.multiply tptp.identity _let_358)))) (let ((_let_365 (= (tptp.multiply _let_352 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.multiply _let_80 _let_62)))) (let ((_let_366 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_332))) (let ((_let_367 (= (tptp.multiply _let_62 _let_332) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_366)))) (let ((_let_368 (= (tptp.multiply _let_349 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.multiply _let_325 _let_62)))) (let ((_let_369 (= (tptp.multiply _let_83 _let_334) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_335)))) (let ((_let_370 (tptp.inverse _let_358))) (let ((_let_371 (= tptp.sk_c6 (tptp.multiply _let_358 _let_370)))) (let ((_let_372 (= tptp.sk_c6 (tptp.multiply _let_370 tptp.sk_c7)))) (let ((_let_373 (tptp.multiply tptp.sk_c2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_374 (= (tptp.multiply _let_373 tptp.sk_c7) (tptp.multiply tptp.sk_c2 _let_83)))) (let ((_let_375 (tptp.multiply _let_326 _let_16))) (let ((_let_376 (= (tptp.multiply _let_327 tptp.sk_c7) _let_375))) (let ((_let_377 (tptp.multiply _let_296 _let_296))) (let ((_let_378 (tptp.multiply _let_297 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_379 (= _let_378 _let_377))) (let ((_let_380 (tptp.multiply tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_381 (tptp.multiply _let_62 _let_380))) (let ((_let_382 (tptp.multiply _let_80 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_383 (= _let_382 _let_381))) (let ((_let_384 (= _let_345 (tptp.multiply _let_62 _let_85)))) (let ((_let_385 (tptp.multiply _let_62 _let_310))) (let ((_let_386 (= (tptp.multiply _let_80 tptp.sk_c2) _let_385))) (let ((_let_387 (tptp.multiply tptp.sk_c7 _let_326))) (let ((_let_388 (tptp.multiply _let_387 tptp.sk_c6))) (let ((_let_389 (= _let_388 (tptp.multiply tptp.sk_c7 _let_327)))) (let ((_let_390 (= (tptp.multiply _let_355 tptp.sk_c7) (tptp.multiply tptp.sk_c6 _let_80)))) (let ((_let_391 (tptp.multiply tptp.sk_c2 _let_326))) (let ((_let_392 (= (tptp.multiply _let_391 tptp.sk_c6) (tptp.multiply tptp.sk_c2 _let_327)))) (let ((_let_393 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_326))) (let ((_let_394 (= (tptp.multiply _let_393 tptp.sk_c6) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_327)))) (let ((_let_395 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_80))) (let ((_let_396 (= (tptp.multiply _let_358 tptp.sk_c7) _let_395))) (let ((_let_397 (= (tptp.multiply _let_357 _let_51) (tptp.multiply _let_326 _let_325)))) (let ((_let_398 (tptp.multiply _let_62 _let_80))) (let ((_let_399 (tptp.multiply _let_62 _let_62))) (let ((_let_400 (tptp.multiply _let_399 tptp.sk_c7))) (let ((_let_401 (= _let_400 _let_398))) (let ((_let_402 (= (tptp.multiply _let_354 _let_51) (tptp.multiply _let_296 _let_325)))) (let ((_let_403 (tptp.multiply _let_380 _let_80))) (let ((_let_404 (tptp.multiply _let_380 _let_62))) (let ((_let_405 (= (tptp.multiply _let_404 tptp.sk_c7) _let_403))) (let ((_let_406 (tptp.multiply _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_407 (= (tptp.multiply _let_375 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply _let_326 _let_406)))) (let ((_let_408 (tptp.multiply _let_326 _let_296))) (let ((_let_409 (= (tptp.multiply _let_327 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_408))) (let ((_let_410 (= _let_399 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_358)))) (let ((_let_411 (tptp.multiply _let_296 _let_355))) (let ((_let_412 (= (tptp.multiply _let_297 _let_62) _let_411))) (let ((_let_413 (tptp.multiply _let_327 _let_62))) (let ((_let_414 (= _let_413 (tptp.multiply _let_326 _let_355)))) (let ((_let_415 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_310))) (let ((_let_416 (= _let_385 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_415)))) (let ((_let_417 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_296))) (let ((_let_418 (tptp.multiply tptp.sk_c6 _let_417))) (let ((_let_419 (= _let_377 _let_418))) (let ((_let_420 (tptp.multiply _let_326 _let_326))) (let ((_let_421 (tptp.multiply _let_420 tptp.sk_c6))) (let ((_let_422 (= _let_421 (tptp.multiply _let_326 _let_327)))) (let ((_let_423 (tptp.multiply _let_332 tptp.sk_c7))) (let ((_let_424 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_423))) (let ((_let_425 (= (tptp.multiply _let_366 tptp.sk_c7) _let_424))) (let ((_let_426 (tptp.multiply _let_380 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_427 (tptp.multiply _let_426 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_428 (= _let_404 _let_427))) (let ((_let_429 (tptp.multiply _let_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_430 (= _let_399 (tptp.multiply _let_429 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_431 (= _let_393 _let_429))) (let ((_let_432 (tptp.multiply _let_393 _let_326))) (let ((_let_433 (= (tptp.multiply _let_432 tptp.sk_c6) (tptp.multiply _let_393 _let_327)))) (let ((_let_434 (= _let_391 (tptp.multiply _let_373 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_435 (= (tptp.multiply (tptp.multiply _let_391 _let_326) tptp.sk_c6) (tptp.multiply _let_391 _let_327)))) (let ((_let_436 (= _let_387 _let_426))) (let ((_let_437 (= (tptp.multiply (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_387) tptp.sk_c6) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_388)))) (let ((_let_438 (= (tptp.multiply _let_354 _let_347) (tptp.multiply _let_296 _let_348)))) (let ((_let_439 (tptp.multiply _let_387 _let_338))) (let ((_let_440 (tptp.multiply _let_387 _let_307))) (let ((_let_441 (tptp.multiply _let_440 _let_62))) (let ((_let_442 (= _let_441 _let_439))) (let ((_let_443 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_420))) (let ((_let_444 (= _let_432 _let_443))) (let ((_let_445 (= (tptp.multiply _let_387 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.multiply tptp.sk_c7 _let_357)))) (let ((_let_446 (= _let_411 (tptp.multiply tptp.sk_c6 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_355))))) (let ((_let_447 (= (tptp.multiply (tptp.multiply _let_62 _let_426) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.multiply _let_62 _let_427)))) (let ((_let_448 (= (tptp.multiply _let_355 _let_62) (tptp.multiply tptp.sk_c6 _let_399)))) (let ((_let_449 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_380))) (let ((_let_450 (= (tptp.multiply _let_449 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_426)))) (let ((_let_451 (= (tptp.multiply (tptp.multiply _let_332 _let_380) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply _let_332 _let_426)))) (let ((_let_452 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_380))) (let ((_let_453 (tptp.multiply _let_452 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_454 (= _let_453 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_426)))) (let ((_let_455 (= (tptp.multiply _let_393 _let_296) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_408)))) (let ((_let_456 (tptp.multiply tptp.identity _let_296))) (let ((_let_457 (= _let_296 _let_456))) (let ((_let_458 (= (tptp.multiply _let_439 tptp.sk_c7) (tptp.multiply _let_387 _let_340)))) (let ((_let_459 (= (tptp.multiply _let_296 _let_358) (tptp.multiply _let_354 _let_62)))) (let ((_let_460 (tptp.multiply _let_326 _let_338))) (let ((_let_461 (tptp.multiply tptp.sk_c7 _let_460))) (let ((_let_462 (= _let_439 _let_461))) (let ((_let_463 (= (tptp.multiply (tptp.multiply _let_69 tptp.sk_c7) _let_326) (tptp.multiply _let_69 _let_387)))) (let ((_let_464 (= (tptp.multiply tptp.sk_c7 _let_387) (tptp.multiply _let_85 _let_326)))) (let ((_let_465 (= (tptp.multiply _let_332 _let_387) (tptp.multiply _let_423 _let_326)))) (let ((_let_466 (= (tptp.multiply _let_338 _let_62) (tptp.multiply _let_307 _let_399)))) (let ((_let_467 (= (tptp.multiply (tptp.multiply tptp.sk_c6 _let_326) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.multiply tptp.sk_c6 _let_357)))) (let ((_let_468 (= (tptp.multiply _let_76 _let_347) (tptp.multiply tptp.identity _let_348)))) (let ((_let_469 (= (tptp.multiply _let_413 tptp.sk_c7) (tptp.multiply _let_327 _let_80)))) (let ((_let_470 (= (tptp.multiply _let_86 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.multiply _let_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_471 (tptp.multiply _let_310 _let_296))) (let ((_let_472 (= _let_471 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c2 _let_296))))) (let ((_let_473 (tptp.multiply _let_62 _let_311))) (let ((_let_474 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_473))) (let ((_let_475 (= (tptp.multiply _let_358 _let_311) _let_474))) (let ((_let_476 (tptp.multiply _let_310 _let_399))) (let ((_let_477 (= (tptp.multiply _let_336 _let_62) _let_476))) (let ((_let_478 (= (tptp.multiply _let_381 _let_62) (tptp.multiply _let_62 _let_404)))) (let ((_let_479 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_452))) (let ((_let_480 (= (tptp.multiply _let_479 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_453)))) (let ((_let_481 (tptp.multiply _let_342 _let_16))) (let ((_let_482 (= _let_481 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_302)))) (let ((_let_483 (= (tptp.multiply _let_342 _let_296) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_456)))) (let ((_let_484 (= _let_415 (tptp.multiply _let_83 tptp.sk_c2)))) (let ((_let_485 (tptp.multiply _let_62 _let_461))) (let ((_let_486 (tptp.multiply _let_80 _let_460))) (let ((_let_487 (= _let_486 _let_485))) (let ((_let_488 (= (tptp.multiply _let_327 _let_417) (tptp.multiply _let_326 _let_418)))) (let ((_let_489 (tptp.multiply _let_16 tptp.sk_c2))) (let ((_let_490 (= _let_489 (tptp.multiply tptp.sk_c6 _let_310)))) (let ((_let_491 (= (tptp.multiply (tptp.multiply _let_354 tptp.sk_c7) tptp.sk_c2) (tptp.multiply _let_354 _let_310)))) (let ((_let_492 (tptp.multiply _let_338 _let_380))) (let ((_let_493 (tptp.multiply _let_492 _let_62))) (let ((_let_494 (= _let_493 (tptp.multiply _let_338 _let_404)))) (let ((_let_495 (= (tptp.multiply _let_62 _let_471) (tptp.multiply _let_385 _let_296)))) (let ((_let_496 (= tptp.identity (tptp.multiply (tptp.inverse _let_449) _let_449)))) (let ((_let_497 (= _let_398 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_395)))) (let ((_let_498 (= (tptp.multiply _let_476 tptp.sk_c7) (tptp.multiply _let_310 _let_400)))) (let ((_let_499 (= _let_381 _let_479))) (let ((_let_500 (= (tptp.multiply _let_62 _let_423) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_424)))) (let ((_let_501 (= (tptp.multiply _let_443 tptp.sk_c6) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_421)))) (let ((_let_502 (tptp.multiply _let_62 _let_387))) (let ((_let_503 (= _let_502 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_387))))) (let ((_let_504 (tptp.multiply (tptp.multiply _let_51 tptp.sk_c7) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_505 (= (tptp.multiply _let_62 _let_504) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_504))))) (let ((_let_506 (= (tptp.multiply _let_441 tptp.sk_c7) (tptp.multiply _let_440 _let_80)))) (let ((_let_507 (= _let_485 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_461))))) (let ((_let_508 (= (tptp.multiply _let_382 _let_62) (tptp.multiply _let_80 _let_358)))) (let ((_let_509 (= (tptp.multiply _let_62 _let_473) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_474)))) (let ((_let_510 (tptp.multiply _let_80 _let_326))) (let ((_let_511 (= _let_502 _let_510))) (let ((_let_512 (= (tptp.multiply _let_481 _let_399) (tptp.multiply _let_342 (tptp.multiply _let_16 _let_399))))) (let ((_let_513 (= (tptp.multiply (tptp.multiply _let_69 _let_69) _let_68) (tptp.multiply _let_69 _let_70)))) (let ((_let_514 (= (tptp.multiply (tptp.multiply _let_373 _let_69) _let_68) (tptp.multiply _let_373 _let_70)))) (let ((_let_515 (= (tptp.multiply (tptp.multiply _let_62 _let_69) _let_68) (tptp.multiply _let_62 _let_70)))) (let ((_let_516 (= (tptp.multiply _let_403 tptp.sk_c7) (tptp.multiply _let_380 _let_345)))) (let ((_let_517 (= (tptp.multiply (tptp.multiply _let_338 _let_69) _let_68) (tptp.multiply _let_338 _let_70)))) (let ((_let_518 (= _let_493 (tptp.multiply (tptp.multiply _let_492 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_519 (= _let_486 (tptp.multiply _let_510 _let_338)))) (let ((_let_520 (= (tptp.multiply _let_398 tptp.sk_c7) (tptp.multiply _let_62 _let_345)))) (let ((_let_521 (not _let_372))) (let ((_let_522 (not _let_371))) (let ((_let_523 (or _let_522 _let_521))) (let ((_let_524 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_279 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_278)) :args _let_277)))) (let ((_let_525 (not _let_49))) (let ((_let_526 (_let_525))) (let ((_let_527 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_526)) :args _let_526)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_525) _let_49))) (REFL :args ((not _let_290))) :args _let_149)))) (let ((_let_528 (REFL :args (_let_290)))) (let ((_let_529 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_290 1)) (CONG _let_528 (MACRO_SR_PRED_INTRO :args ((= (not _let_287) _let_286))) :args _let_149)) :args ((or _let_286 _let_290))))) (let ((_let_530 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_290 0)) (CONG _let_528 (MACRO_SR_PRED_INTRO :args ((= (not _let_289) _let_288))) :args _let_149)) :args ((or _let_288 _let_290))))) (let ((_let_531 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c4))) (let ((_let_532 (tptp.multiply _let_531 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_533 (= tptp.sk_c7 (tptp.inverse _let_532)))) (let ((_let_534 (not _let_533))) (let ((_let_535 (= tptp.sk_c6 (tptp.multiply _let_532 tptp.sk_c7)))) (let ((_let_536 (not _let_535))) (let ((_let_537 (or _let_536 _let_534))) (let ((_let_538 (= tptp.sk_c6 _let_2))) (let ((_let_539 (= (tptp.multiply _let_52 tptp.sk_c6) (tptp.multiply tptp.sk_c4 _let_51)))) (let ((_let_540 (tptp.multiply _let_296 _let_16))) (let ((_let_541 (= (tptp.multiply _let_297 tptp.sk_c7) _let_540))) (let ((_let_542 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_52))) (let ((_let_543 (= _let_532 _let_542))) (let ((_let_544 (= (tptp.multiply _let_8 tptp.sk_c2) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 tptp.sk_c2))))) (let ((_let_545 (tptp.multiply _let_297 _let_531))) (let ((_let_546 (= (tptp.multiply _let_545 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply _let_297 _let_532)))) (let ((_let_547 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_297))) (let ((_let_548 (= (tptp.multiply _let_547 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_378)))) (let ((_let_549 (tptp.multiply _let_307 _let_531))) (let ((_let_550 (= (tptp.multiply _let_549 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply _let_307 _let_532)))) (let ((_let_551 (= (tptp.multiply (tptp.multiply _let_330 _let_531) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply _let_330 _let_532)))) (let ((_let_552 (= _let_531 (tptp.multiply tptp.identity _let_531)))) (let ((_let_553 (= _let_532 (tptp.multiply tptp.identity _let_532)))) (let ((_let_554 (= (tptp.multiply _let_481 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply _let_342 _let_406)))) (let ((_let_555 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_406))) (let ((_let_556 (= (tptp.multiply _let_531 _let_555) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply tptp.sk_c4 _let_555))))) (let ((_let_557 (= (tptp.multiply _let_481 _let_299) (tptp.multiply _let_342 (tptp.multiply _let_16 _let_299))))) (let ((_let_558 (= (tptp.multiply _let_481 tptp.sk_c2) (tptp.multiply _let_342 _let_489)))) (let ((_let_559 (= (tptp.multiply (tptp.multiply tptp.sk_c5 _let_69) _let_68) (tptp.multiply tptp.sk_c5 _let_70)))) (let ((_let_560 (= (tptp.multiply (tptp.multiply tptp.sk_c6 _let_69) _let_68) (tptp.multiply tptp.sk_c6 _let_70)))) (let ((_let_561 (tptp.multiply _let_296 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_562 (= (tptp.multiply _let_561 _let_52) (tptp.multiply _let_296 _let_542)))) (let ((_let_563 (= (tptp.multiply _let_296 _let_531) (tptp.multiply _let_561 tptp.sk_c4)))) (let ((_let_564 (= (tptp.multiply (tptp.multiply _let_549 _let_69) _let_68) (tptp.multiply _let_549 _let_70)))) (let ((_let_565 (= (tptp.multiply _let_378 _let_52) (tptp.multiply _let_297 _let_542)))) (let ((_let_566 (= _let_545 (tptp.multiply _let_378 tptp.sk_c4)))) (let ((_let_567 (= _let_540 (tptp.multiply tptp.sk_c6 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16))))) (let ((_let_568 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_308))) (let ((_let_569 (tptp.multiply _let_531 _let_568))) (let ((_let_570 (= (tptp.multiply _let_532 _let_308) _let_569))) (let ((_let_571 (= (tptp.multiply _let_8 tptp.sk_c4) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c4 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(let ((_let_1199 (TRANS _let_1154 _let_1081))) (let ((_let_1200 (CONG _let_1157 _let_704 :args _let_156))) (let ((_let_1201 (CONG _let_1160 _let_704 :args _let_156))) (let ((_let_1202 (TRANS _let_918 _let_916 (CONG (TRANS _let_975 _let_970 _let_1173 (SYMM _let_1166) (SYMM _let_1167) _let_833) _let_704 :args _let_156) _let_915 (CONG _let_827 (TRANS _let_1201 _let_1200) :args _let_156) (CONG _let_827 (TRANS _let_965 _let_709 _let_175 _let_869 _let_693 _let_1175 _let_865 _let_862) :args _let_156) _let_911 _let_1169 _let_1168 _let_1153 _let_1151))) (let ((_let_1203 (CONG _let_1081 _let_848 :args _let_156))) (let ((_let_1204 (SYMM _let_1200))) (let ((_let_1205 (and _let_94 _let_137 _let_133 _let_131 _let_284 _let_285 _let_538 _let_288 _let_286 _let_291 _let_292 _let_88 _let_294 _let_295 _let_298 _let_539 _let_82 _let_541 _let_379 _let_301 _let_567 _let_78 _let_75 _let_303 _let_457 _let_72 _let_543 _let_306 _let_544 _let_309 _let_570 _let_312 _let_571 _let_546 _let_482 _let_490 _let_548 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk_c7 tptp.sk_c2 _let_62 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_95)) _let_96 :args (_let_337 false _let_41)))) (let ((_let_1262 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk_c6 tptp.sk_c2 _let_62 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_95)) _let_96 :args (_let_339 false _let_41)))) (let ((_let_1263 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_307 _let_62 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_95)) _let_96 :args (_let_341 false _let_41)))) (let ((_let_1264 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_95)) _let_96 :args (_let_343 false _let_41)))) (let ((_let_1265 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk_c7 tptp.sk_c7 _let_334 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_95)) _let_96 :args (_let_344 false _let_41)))) (let ((_let_1266 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_80 _let_80 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_95)) _let_96 :args (_let_346 false _let_41)))) (let ((_let_1267 (not _let_346))) (let ((_let_1268 (not _let_344))) (let ((_let_1269 (not _let_343))) (let ((_let_1270 (not _let_341))) (let ((_let_1271 (not _let_339))) (let ((_let_1272 (not _let_337))) (let ((_let_1273 (not _let_333))) (let ((_let_1274 (not _let_329))) (let ((_let_1275 (not _let_328))) (let ((_let_1276 (and _let_94 _let_133 _let_131 _let_288 _let_286 _let_90 _let_291 _let_88 _let_84 _let_328 _let_82 _let_301 _let_329 _let_333 _let_78 _let_77 _let_75 _let_72 _let_337 _let_312 _let_339 _let_341 _let_343 _let_344 _let_346))) (let ((_let_1277 (SYMM _let_713))) (let ((_let_1278 (SYMM _let_703))) (let ((_let_1279 (TRANS _let_969 _let_1278 _let_968 _let_1277))) (let ((_let_1280 (SYMM _let_807))) (let ((_let_1281 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_1282 (CONG _let_685 _let_1281 :args _let_156))) (let ((_let_1283 (ASSUME :args (_let_333)))) (let ((_let_1284 (SYMM _let_1283))) (let ((_let_1285 (SYMM _let_1284))) (let ((_let_1286 (TRANS _let_1285 _let_1282))) (let ((_let_1287 (ASSUME :args (_let_329)))) (let ((_let_1288 (SYMM _let_1287))) (let ((_let_1289 (CONG _let_231 _let_264 :args _let_156))) (let ((_let_1290 (ASSUME :args (_let_343)))) (let ((_let_1291 (TRANS (SYMM (SYMM _let_1290)) _let_1289))) (let ((_let_1292 (CONG _let_967 _let_1291 :args _let_156))) (let ((_let_1293 (CONG _let_1094 (SYMM _let_1291) :args _let_156))) (let ((_let_1294 (ASSUME :args (_let_337)))) (let ((_let_1295 (TRANS (SYMM _let_1294) _let_1293 _let_1292 _let_1288))) (let ((_let_1296 (CONG _let_174 _let_1295 :args _let_156))) (let ((_let_1297 (ASSUME :args (_let_344)))) (let ((_let_1298 (SYMM _let_1297))) (let ((_let_1299 (SYMM _let_1298))) (let ((_let_1300 (REFL :args (_let_334)))) (let ((_let_1301 (ASSUME :args (_let_339)))) (let ((_let_1302 (SYMM _let_1301))) (let ((_let_1303 (SYMM _let_1302))) (let ((_let_1304 (CONG (TRANS _let_1302 (TRANS _let_1303 (CONG (SYMM _let_1279) _let_1300 :args _let_156) _let_1299 _let_1296) _let_1286 _let_264) _let_174 :args _let_156))) (let ((_let_1305 (CONG _let_1303 _let_174 :args _let_156))) (let ((_let_1306 (ASSUME :args (_let_341)))) (let ((_let_1307 (SYMM _let_1306))) (let ((_let_1308 (SYMM _let_1305))) (let ((_let_1309 (SYMM _let_1304))) (let ((_let_1310 (TRANS _let_824 _let_756 _let_177 _let_173))) (let ((_let_1311 (CONG _let_264 _let_723 :args _let_156))) (let ((_let_1312 (CONG _let_263 _let_226 :args _let_156))) (let ((_let_1313 (ASSUME :args (_let_328)))) (let ((_let_1314 (SYMM _let_1313))) (let ((_let_1315 (SYMM _let_1314))) (let ((_let_1316 (CONG _let_231 (TRANS _let_1315 _let_1312 _let_1311 _let_1309 _let_1308) :args _let_156))) (let ((_let_1317 (CONG _let_231 _let_1314 :args _let_156))) (let ((_let_1318 (SYMM _let_1317))) (let ((_let_1319 (TRANS (TRANS _let_244 _let_241 (CONG _let_235 (TRANS _let_1309 _let_1308) :args _let_156) (SYMM _let_1316) _let_1318) (TRANS _let_1317 _let_1316 (CONG _let_240 (TRANS _let_1305 _let_1304 _let_209) :args _let_156) _let_236 _let_723)))) (let ((_let_1320 (CONG _let_1319 _let_1310 :args _let_156))) (let ((_let_1321 (SYMM _let_1310))) (let ((_let_1322 (REFL :args (_let_80)))) (let ((_let_1323 (CONG _let_1322 _let_1321 :args _let_156))) (let ((_let_1324 (ASSUME :args (_let_346)))) (let ((_let_1325 (SYMM (SYMM _let_1324)))) (let ((_let_1326 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_51 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_95)) _let_96 :args (_let_350 false _let_41)))) (let ((_let_1327 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_62 tptp.sk_c7 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_330 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_95)) _let_96 :args (_let_362 false _let_41)))) (let ((_let_1332 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_330 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_62 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_95)) _let_96 :args (_let_363 false _let_41)))) (let ((_let_1333 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_62 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_95)) _let_96 :args (_let_364 false _let_41)))) (let ((_let_1334 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_80 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_95)) _let_96 :args (_let_365 false _let_41)))) (let 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:args _let_156) _let_940 (CONG (TRANS _let_989 _let_1159 (TRANS _let_1009 _let_764 _let_1019 _let_788 _let_1529 _let_1528 _let_1527 _let_1525 _let_1524 _let_1523) _let_1521 (CONG _let_1433 _let_174 :args _let_156)) _let_704 :args _let_156) (SYMM (SYMM _let_1631)) (CONG _let_1434 (TRANS _let_965 _let_709 _let_175 _let_869 (SYMM _let_684) (SYMM _let_881)) :args _let_156) (CONG _let_1433 _let_1418 :args _let_156) (SYMM (SYMM _let_1630)) (CONG _let_805 (SYMM _let_1613) :args _let_156) _let_1624 (CONG _let_1629 (SYMM _let_1627) :args _let_156) (CONG _let_1628 _let_1627 :args _let_156) (SYMM (SYMM _let_1625)) (CONG _let_1447 (TRANS (SYMM _let_1624) _let_898 (CONG _let_1540 _let_231 :args _let_156)) :args _let_156)) :args _let_156) (CONG _let_231 (TRANS (SYMM _let_1623) (CONG (TRANS (SYMM _let_1622) (CONG _let_1443 _let_174 :args _let_156) _let_267) _let_231 :args _let_156) (SYMM (SYMM _let_1621)) (CONG _let_1281 (TRANS (CONG _let_1501 _let_231 :args _let_156) _let_904 (SYMM _let_1071)) :args _let_156) (CONG _let_1281 (TRANS _let_1071 _let_905 (SYMM _let_1619)) :args _let_156)) :args _let_156) (SYMM _let_1620) (CONG _let_247 _let_1619 :args _let_156) (CONG _let_247 _let_1081 :args _let_156) (SYMM (SYMM _let_1618)) (CONG (SYMM _let_1617) _let_805 :args _let_156) (CONG (TRANS _let_1617 _let_1615 (TRANS (SYMM _let_1615) _let_1603 _let_1602 _let_1380 _let_1601 _let_684 _let_680) _let_176) _let_1613 :args _let_156) (SYMM _let_1610) _let_1493 _let_1422) :args _let_156) (CONG _let_231 (TRANS (SYMM _let_1607) _let_1608) :args _let_156) _let_1609 _let_1606 _let_1605 _let_1603 _let_1602 _let_1380 _let_1601 _let_684 _let_680) (TRANS _let_176 (SYMM (SYMM _let_1599)) (CONG (TRANS (TRANS (CONG _let_1596 :args _let_674) (CONG _let_1492 :args _let_674) (SYMM _let_1597) (SYMM _let_1598)) (TRANS _let_1598 _let_1597 _let_1438)) _let_1596 :args _let_156) _let_1487 _let_1484 _let_1457 _let_1452) _let_1453 (TRANS _let_1486 _let_1485 _let_1482 _let_1481 _let_1477)) _let_1476 :args _let_156) (CONG _let_1475 (TRANS _let_1474 _let_1368 _let_209 _let_713 _let_1358 _let_703 _let_1356 _let_1472 _let_1466) :args _let_156) (SYMM _let_1465) (CONG (TRANS (SYMM _let_1464) (TRANS (CONG (TRANS (TRANS _let_1463 _let_1460 _let_1457) _let_1452) _let_174 :args _let_156) _let_1454) (TRANS (SYMM _let_1454) (CONG _let_1453 _let_174 :args _let_156) (SYMM (SYMM _let_1450)) (CONG _let_1449 _let_1369 :args _let_156) (CONG _let_1448 _let_214 :args _let_156) (SYMM _let_1446) _let_1444 (CONG _let_759 _let_209 :args _let_156) _let_1442 _let_186)) _let_174 :args _let_156)) :args (_let_94 _let_82 _let_88 _let_301 _let_90 _let_77 _let_286 _let_328 _let_389 _let_78 _let_72 _let_288 _let_333 _let_329 _let_291 _let_133 _let_343 _let_337 _let_344 _let_131 _let_312 _let_75 _let_339 _let_458 _let_442 _let_506 _let_436 _let_428 _let_405 _let_516 _let_84 _let_341 _let_369 _let_359 _let_445 _let_46 _let_365 _let_353 _let_360 _let_367 _let_362 _let_484 _let_350 _let_368 _let_356 _let_459 _let_448 _let_384 _let_500 _let_425 _let_414 _let_469 _let_390 _let_402 _let_457 _let_472 _let_298 _let_309 _let_303 _let_482 _let_512 _let_513 _let_517 _let_431 _let_515 _let_410 _let_364 _let_363 _let_412 _let_446 _let_467 _let_464 _let_466 _let_463 _let_465 _let_451 _let_518 _let_494 _let_462 _let_507 _let_487 _let_519 _let_511 _let_503 _let_454 _let_480 _let_499 _let_447 _let_478 _let_383 _let_508 _let_496 _let_416 _let_409 _let_468 _let_386 _let_455 _let_495 _let_505 _let_470 _let_87 _let_376 _let_407 _let_379 _let_419 _let_488 _let_483 _let_438 _let_491 _let_490 _let_392 _let_435 _let_374 _let_514 _let_434 _let_450 _let_437 _let_346 _let_475 _let_509 _let_520 _let_401 _let_477 _let_498 _let_430 _let_497 _let_396 _let_397 _let_422 _let_501 _let_444 _let_433 _let_394))) :args (_let_94 _let_133 _let_131 _let_288 _let_286 _let_90 _let_46 _let_291 _let_88 _let_87 _let_298 _let_374 _let_84 _let_328 _let_82 _let_376 _let_379 _let_350 _let_383 _let_301 _let_384 _let_353 _let_386 _let_389 _let_390 _let_392 _let_394 _let_396 _let_397 _let_401 _let_402 _let_405 _let_329 _let_407 _let_409 _let_356 _let_410 _let_359 _let_412 _let_414 _let_416 _let_419 _let_422 _let_425 _let_333 _let_428 _let_430 _let_431 _let_433 _let_434 _let_435 _let_436 _let_437 _let_438 _let_78 _let_77 _let_75 _let_442 _let_444 _let_445 _let_446 _let_447 _let_448 _let_450 _let_360 _let_451 _let_362 _let_454 _let_455 _let_303 _let_457 _let_458 _let_72 _let_459 _let_363 _let_462 _let_463 _let_464 _let_465 _let_466 _let_467 _let_364 _let_468 _let_469 _let_337 _let_470 _let_365 _let_309 _let_312 _let_472 _let_339 _let_475 _let_477 _let_341 _let_343 _let_478 _let_480 _let_482 _let_483 _let_484 _let_487 _let_488 _let_490 _let_491 _let_494 _let_495 _let_496 _let_497 _let_498 _let_499 _let_500 _let_367 _let_501 _let_503 _let_368 _let_505 _let_506 _let_507 _let_508 _let_509 _let_511 _let_512 _let_513 _let_344 _let_369 _let_514 _let_515 _let_516 _let_517 _let_518 _let_519 _let_520 _let_346))) :args (true _let_1441)) :args ((or _let_93 _let_170 _let_282 _let_134 _let_289 _let_287 _let_123 _let_47 _let_668 _let_167 _let_261 _let_664 (not _let_374) _let_201 _let_1275 _let_166 (not _let_376) _let_661 _let_1349 (not _let_383) _let_660 (not _let_384) _let_1348 (not _let_386) (not _let_389) (not _let_390) (not _let_392) (not _let_394) (not _let_396) (not _let_397) (not _let_401) (not _let_402) (not _let_405) _let_1274 (not _let_407) (not _let_409) _let_1347 (not _let_410) _let_1346 (not _let_412) (not _let_414) (not _let_416) (not _let_419) (not _let_422) (not _let_425) _let_1273 (not _let_428) (not _let_430) (not _let_431) (not _let_433) (not _let_434) (not _let_435) (not _let_436) (not _let_437) (not _let_438) _let_198 _let_260 _let_197 (not _let_442) (not _let_444) (not _let_445) (not _let_446) (not _let_447) (not _let_448) (not _let_450) _let_1345 (not _let_451) _let_1344 (not _let_454) (not _let_455) _let_659 _let_658 (not _let_458) _let_196 (not _let_459) _let_1343 (not _let_462) (not _let_463) (not _let_464) (not 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_let_314 _let_552 _let_553 _let_554 _let_556 _let_557 _let_558 _let_559 _let_560 _let_513 _let_562 _let_563 _let_564 _let_565 _let_566))) :args (true _let_1137)) :args ((or _let_170 _let_672 _let_282 _let_134 _let_671 _let_670 _let_669 _let_289 _let_287 _let_668 _let_667 _let_167 _let_666 _let_665 _let_664 _let_663 _let_166 _let_662 _let_661 _let_660 _let_198 _let_197 _let_659 _let_658 _let_196 _let_657 _let_656 _let_655 _let_654 _let_653 _let_1136 _let_651 _let_650 _let_649 _let_648 _let_647 _let_646 _let_533 _let_645 _let_644 _let_643 _let_642 _let_641 _let_640 _let_639 _let_638 _let_636 _let_635 _let_634 _let_633 _let_632 _let_1135 _let_1134))) _let_1133 _let_1132 _let_627 _let_626 _let_625 _let_624 _let_623 _let_621 _let_620 _let_619 _let_618 _let_617 _let_616 _let_615 _let_614 _let_613 _let_612 _let_611 _let_610 _let_609 _let_608 _let_1131 _let_606 _let_605 _let_604 _let_603 _let_602 _let_107 _let_601 _let_600 _let_113 _let_115 _let_599 _let_598 _let_597 _let_118 _let_596 _let_595 _let_594 _let_593 _let_121 _let_592 _let_591 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_538 _let_92))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_285 _let_92))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_284 _let_92))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_137 _let_92))) (MACRO_RESOLUTION_TRUST _let_1130 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_964)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_677 _let_722 _let_229 _let_175 _let_233 _let_724 _let_727 _let_730 _let_733 _let_737 _let_212 _let_708 _let_705 _let_701 _let_696 _let_741 _let_749 _let_172 _let_755 _let_185 _let_761 _let_780 _let_984 _let_986 _let_681 _let_692 _let_161 _let_715 _let_763 _let_772 _let_801 _let_787 _let_776 _let_813 _let_1031 _let_1033 _let_863 _let_852 _let_829 _let_897 _let_930 _let_904 _let_1090 _let_1074 _let_1076 _let_1102 _let_1105 _let_1109 _let_1111 _let_884 _let_887 _let_890 _let_900 _let_910 _let_914 _let_917 _let_922 _let_925 _let_933 _let_937 _let_939) (SCOPE (TRANS _let_724 _let_1024 _let_742 _let_1023 _let_777 _let_1022 _let_803 _let_1018 _let_1017 _let_1015 (CONG _let_240 (TRANS _let_782 _let_981 _let_763 _let_1011 _let_1129 (CONG (TRANS _let_966 (TRANS _let_176 _let_708 _let_1128 (SYMM _let_1120) _let_1127 _let_941 _let_1126 (CONG (TRANS _let_975 _let_970 _let_1059 _let_1125 (TRANS _let_935 (CONG (TRANS _let_727 _let_1080 _let_931 _let_1079 (CONG (TRANS _let_1072 (SYMM _let_1122) _let_929) _let_848 :args _let_156)) _let_1124 :args _let_156))) (TRANS _let_175 _let_869 _let_693 _let_1119 _let_863 _let_1118 _let_1096 _let_897 _let_1123 (CONG _let_1014 _let_1072 :args _let_156) (CONG _let_240 _let_1014 :args _let_156) _let_927) :args _let_156) _let_926 _let_924 _let_923 _let_921 (CONG (TRANS _let_920 _let_1122 _let_1014) _let_678 :args _let_156) (CONG (SYMM _let_1088) _let_903 :args _let_156) _let_1117 _let_902 _let_901 (CONG (TRANS _let_1069 (SYMM _let_1116)) _let_892 :args _let_156) (CONG (TRANS _let_1116 (SYMM _let_1005)) _let_892 :args _let_156) _let_891 _let_889 _let_888 _let_886 (CONG (TRANS _let_885 (CONG _let_1006 _let_729 :args _let_156) _let_728) _let_235 :args _let_156) (CONG _let_1068 _let_231 :args _let_156) (SYMM _let_1114) (SYMM _let_1115)) _let_1115 _let_1114 (TRANS (CONG _let_1067 (TRANS _let_229 _let_880 _let_233 (SYMM _let_1013) _let_772 _let_879 _let_1065 _let_1064 _let_1061 _let_1050 _let_1046 _let_1045 _let_1044 _let_854 _let_1043) :args _let_156) _let_1034) _let_1035) _let_764 :args _let_156) _let_1032 _let_1030 _let_1028 (SYMM _let_1025) _let_738 _let_736 _let_728) :args _let_156) _let_1027 (CONG _let_231 (TRANS _let_727 _let_1026 _let_737 _let_1025 _let_999 _let_991) :args _let_156) _let_987 _let_985 _let_983 _let_982) :args (_let_543 _let_286 _let_78 _let_88 _let_72 _let_284 _let_314 _let_292 _let_285 _let_313 _let_75 _let_291 _let_133 _let_312 _let_131 _let_306 _let_294 _let_82 _let_301 _let_94 _let_137 _let_309 _let_570 _let_578 _let_288 _let_513 _let_92 _let_586 _let_303 _let_560 _let_541 _let_298 _let_295 _let_482 _let_579 _let_576 _let_559 _let_548 _let_557 _let_379 _let_563 _let_457 _let_574 _let_573 _let_583 _let_577 _let_571 _let_567 _let_582 _let_589 _let_585 _let_588 _let_562 _let_554 _let_558 _let_544 _let_550 _let_564 _let_539 _let_538 _let_490))) :args (_let_94 _let_137 _let_133 _let_131 _let_284 _let_285 _let_538 _let_92 _let_288 _let_286 _let_291 _let_292 _let_88 _let_294 _let_295 _let_298 _let_539 _let_82 _let_541 _let_379 _let_301 _let_567 _let_78 _let_75 _let_303 _let_457 _let_72 _let_543 _let_306 _let_544 _let_309 _let_570 _let_312 _let_571 _let_585 _let_482 _let_490 _let_548 _let_550 _let_313 _let_314 _let_573 _let_554 _let_574 _let_576 _let_577 _let_578 _let_557 _let_558 _let_559 _let_586 _let_560 _let_513 _let_579 _let_562 _let_563 _let_582 _let_564 _let_583 _let_588 _let_589))) :args (true _let_964)) :args ((or _let_170 _let_672 _let_282 _let_134 _let_671 _let_670 _let_669 _let_128 _let_289 _let_287 _let_668 _let_667 _let_167 _let_666 _let_665 _let_664 _let_663 _let_166 _let_662 _let_661 _let_660 _let_963 _let_198 _let_197 _let_659 _let_658 _let_196 _let_657 _let_656 _let_655 _let_654 _let_962 _let_653 _let_961 _let_652 _let_651 _let_650 _let_649 _let_648 _let_646 _let_535 _let_645 _let_960 _let_642 _let_959 _let_958 _let_957 _let_956 _let_640 _let_639 _let_638 _let_637 _let_636 _let_635 _let_955 _let_634 _let_633 _let_954 _let_632 _let_953 _let_631 _let_630))) _let_629 _let_628 _let_952 _let_627 _let_951 _let_626 _let_625 _let_950 _let_624 _let_623 _let_622 _let_621 _let_620 _let_619 _let_949 _let_948 _let_947 _let_946 _let_617 _let_945 _let_614 _let_613 _let_611 _let_610 _let_609 _let_608 _let_607 _let_944 _let_606 _let_943 _let_605 _let_604 _let_603 _let_602 _let_107 _let_601 _let_600 _let_113 _let_115 _let_942 _let_599 _let_598 _let_597 _let_118 _let_596 _let_595 _let_594 _let_593 _let_121 _let_592 _let_591 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_673)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_675 _let_175 _let_229 _let_233 _let_681 _let_677 _let_689 _let_850 _let_172 _let_692 _let_696 _let_701 _let_705 _let_708 _let_212 _let_161 _let_715 _let_722 _let_724 _let_727 _let_730 _let_733 _let_737 _let_741 _let_749 _let_755 _let_185 _let_761 _let_763 _let_772 _let_776 _let_780 _let_787 _let_801 _let_813 _let_829 _let_852 _let_859 _let_863 _let_884 _let_887 _let_890 _let_897 _let_900 _let_904 _let_910 _let_914 _let_917 _let_922 _let_925 _let_930 _let_933 _let_937 _let_939) (SCOPE (TRANS _let_683 (CONG _let_909 :args _let_674) (CONG (TRANS _let_906 _let_905 _let_878 _let_877 _let_876 _let_875 _let_874 _let_873 _let_872 _let_854 _let_871 (CONG _let_231 (TRANS _let_710 _let_707 (SYMM _let_912) (SYMM _let_913) _let_941 (CONG _let_214 _let_766 :args _let_156) (CONG (TRANS _let_745 _let_739 _let_867 (TRANS _let_791 _let_778 _let_744 _let_743 _let_740 _let_725 _let_938 _let_936 _let_934) (TRANS _let_935 (CONG (TRANS _let_727 (CONG (TRANS _let_175 (SYMM _let_899)) _let_729 :args _let_156) (SYMM _let_932) (CONG _let_908 _let_848 :args _let_156) (CONG (TRANS _let_907 (SYMM _let_919) _let_929) _let_848 :args _let_156)) _let_928 :args _let_156))) (TRANS _let_175 _let_869 _let_693 _let_868 _let_865 _let_862 _let_856 _let_897 (CONG _let_805 _let_908 :args _let_156) (CONG _let_798 _let_907 :args _let_156) (CONG _let_240 _let_798 :args _let_156) _let_927) :args _let_156) _let_926 _let_924 _let_923 _let_921 (CONG (TRANS _let_920 _let_919 _let_798) _let_678 :args _let_156) (CONG _let_909 _let_903 :args _let_156) (CONG _let_907 _let_903 :args _let_156) _let_902 _let_901 (CONG (TRANS _let_899 (SYMM _let_896)) _let_892 :args _let_156) (CONG (TRANS _let_896 (SYMM _let_718)) _let_892 :args _let_156) _let_891 _let_889 _let_888 _let_886 (CONG (TRANS _let_885 (CONG _let_719 _let_729 :args _let_156) _let_728) _let_235 :args _let_156) (CONG _let_883 _let_231 :args _let_156) (CONG _let_882 (TRANS _let_229 _let_880 _let_233 (SYMM _let_771) _let_772 _let_879 _let_878 _let_877 _let_876 _let_875 _let_874 _let_873 _let_872 _let_854 _let_871) :args _let_156) (CONG _let_729 (TRANS _let_870 (SYMM _let_857) _let_861) :args _let_156)) :args _let_156) _let_860 (CONG _let_848 (TRANS _let_858 _let_857 _let_855) :args _let_156) (CONG _let_851 (TRANS _let_847 _let_845 _let_844 _let_843 _let_842 _let_799 _let_797 _let_774 _let_773 _let_771 _let_234 _let_232 _let_230) :args _let_156) _let_690 _let_688 _let_686 _let_676) :args _let_674)) :args (_let_553 _let_88 _let_78 _let_72 _let_288 _let_543 _let_551 _let_552 _let_82 _let_513 _let_131 _let_312 _let_133 _let_291 _let_75 _let_92 _let_586 _let_286 _let_284 _let_314 _let_292 _let_285 _let_313 _let_306 _let_294 _let_301 _let_94 _let_137 _let_303 _let_560 _let_295 _let_309 _let_298 _let_541 _let_482 _let_557 _let_548 _let_556 _let_559 _let_589 _let_585 _let_588 _let_379 _let_562 _let_457 _let_554 _let_558 _let_544 _let_550 _let_564 _let_563 _let_539 _let_538 _let_490))) :args (_let_94 _let_137 _let_133 _let_131 _let_284 _let_285 _let_538 _let_92 _let_288 _let_286 _let_291 _let_292 _let_88 _let_294 _let_295 _let_298 _let_539 _let_82 _let_541 _let_379 _let_301 _let_78 _let_75 _let_303 _let_457 _let_72 _let_543 _let_306 _let_544 _let_309 _let_312 _let_585 _let_482 _let_490 _let_548 _let_550 _let_551 _let_313 _let_314 _let_552 _let_553 _let_554 _let_556 _let_557 _let_558 _let_559 _let_586 _let_560 _let_513 _let_562 _let_563 _let_564 _let_588 _let_589))) :args (true _let_673)) :args ((or _let_170 _let_672 _let_282 _let_134 _let_671 _let_670 _let_669 _let_128 _let_289 _let_287 _let_668 _let_667 _let_167 _let_666 _let_665 _let_664 _let_663 _let_166 _let_662 _let_661 _let_660 _let_198 _let_197 _let_659 _let_658 _let_196 _let_657 _let_656 _let_655 _let_654 _let_653 _let_652 _let_651 _let_650 _let_649 _let_648 _let_647 _let_646 _let_533 _let_645 _let_644 _let_643 _let_642 _let_641 _let_640 _let_639 _let_638 _let_637 _let_636 _let_635 _let_634 _let_633 _let_632 _let_631 _let_630))) _let_629 _let_628 _let_627 _let_626 _let_625 _let_624 _let_623 _let_622 _let_621 _let_620 _let_619 _let_618 _let_617 _let_616 _let_615 _let_614 _let_613 _let_612 _let_611 _let_610 _let_609 _let_608 _let_607 _let_606 _let_605 _let_604 _let_603 _let_602 _let_107 _let_601 _let_600 _let_113 _let_115 _let_599 _let_598 _let_597 _let_118 _let_596 _let_595 _let_594 _let_593 _let_121 _let_592 _let_591 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_538 _let_91))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_285 _let_91))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_284 _let_91))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_137 _let_91))) _let_144 _let_530 _let_529 _let_527 _let_524 _let_324 :args ((or _let_170 _let_282 _let_134 _let_128 _let_132 _let_590) false _let_535 false _let_589 false _let_588 false _let_583 false _let_564 false _let_582 false _let_563 false _let_562 false _let_579 false _let_513 false _let_560 false _let_586 false _let_559 false _let_558 false _let_557 false _let_578 false _let_577 false _let_576 false _let_574 false _let_554 false _let_573 false _let_314 false _let_313 false _let_550 false _let_548 false _let_490 false _let_482 false _let_585 false _let_571 false _let_312 false _let_570 false _let_309 false _let_544 false _let_306 false _let_543 false _let_72 false _let_457 false _let_303 false _let_75 false _let_78 false _let_567 false _let_301 false _let_379 false _let_541 false _let_82 false _let_539 false _let_298 false _let_295 false _let_294 false _let_88 false _let_292 false _let_291 false _let_533 false _let_589 false _let_588 false _let_564 false _let_563 false _let_562 false _let_513 false _let_560 false _let_586 false _let_559 false _let_558 false _let_557 false _let_556 false _let_554 false _let_553 false _let_552 false _let_314 false _let_313 false _let_551 false _let_550 false _let_548 false _let_490 false _let_482 false _let_585 false _let_312 false _let_309 false _let_544 false _let_306 false _let_543 false _let_72 false _let_457 false _let_303 false _let_75 false _let_78 false _let_301 false _let_379 false _let_541 false _let_82 false _let_539 false _let_298 false _let_295 false _let_294 false _let_88 false _let_292 false _let_291 false _let_538 false _let_285 false _let_284 false _let_137 true _let_91 false _let_288 false _let_286 true _let_290 true _let_49 true _let_283)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args 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(_let_92 true _let_131)))) (let ((_let_1697 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_131 _let_93))) _let_1689 :args (_let_93 true _let_131)))) (let ((_let_1698 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_38)) (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT))) _let_1689 :args (_let_94 true _let_131)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_280 (MACRO_RESOLUTION_TRUST _let_281 _let_1698 _let_1697 (MACRO_RESOLUTION_TRUST _let_259 _let_1698 _let_1697 _let_1696 _let_1695 _let_1694 _let_122 _let_121 _let_119 _let_118 _let_117 _let_116 _let_115 _let_113 _let_108 _let_107 _let_106 _let_104 _let_103 _let_98 :args (_let_137 false _let_94 false _let_93 false _let_92 false _let_91 false _let_90 false _let_89 false _let_88 false _let_84 false _let_82 false _let_81 false _let_79 false _let_78 false _let_75 false _let_74 false _let_72 false _let_67 false _let_65 false _let_61 false _let_60)) _let_1692 (MACRO_RESOLUTION_TRUST _let_276 (MACRO_RESOLUTION_TRUST _let_271 (MACRO_RESOLUTION_TRUST _let_164 _let_1696 _let_1695 :args (_let_135 false _let_92 false _let_91)) (MACRO_RESOLUTION_TRUST _let_191 _let_1698 _let_1697 _let_1696 _let_1695 _let_122 _let_121 _let_118 _let_108 :args (_let_136 false _let_94 false _let_93 false _let_92 false _let_91 false _let_89 false _let_88 false _let_82 false _let_74)) :args (_let_270 false _let_135 false _let_136)) :args ((not _let_141) true _let_140)) :args (_let_49 false _let_94 false _let_93 false _let_137 true _let_125 true _let_141)) (MACRO_RESOLUTION_TRUST _let_272 (MACRO_RESOLUTION_TRUST _let_154 _let_1693 :args (_let_46 true _let_124)) (MACRO_RESOLUTION_TRUST _let_269 _let_1698 _let_1697 _let_1696 _let_1695 _let_1694 _let_122 _let_121 _let_120 _let_119 _let_118 _let_117 _let_116 _let_115 _let_114 _let_113 _let_108 _let_107 _let_106 _let_104 _let_103 _let_98 :args (_let_44 false _let_94 false _let_93 false _let_92 false _let_91 false _let_90 false _let_89 false _let_88 false _let_87 false _let_84 false _let_82 false _let_81 false _let_79 false _let_78 false _let_77 false _let_75 false _let_74 false _let_72 false _let_67 false _let_65 false _let_61 false _let_60)) :args (_let_50 false _let_46 false _let_44)) :args (false false _let_49 true _let_48)) :args (_let_43 _let_42 _let_41 _let_40 _let_39 _let_38 _let_37 _let_36 (or _let_35 _let_3) _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 (or _let_5 _let_17) _let_15 _let_12 (or _let_5 _let_9) (or _let_5 _let_7) (or _let_5 _let_3) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 6.33/6.74  )
% 6.58/6.77  % SZS output end Proof for GRP299-1
% 6.58/6.77  % cvc5---1.0.5 exiting
% 6.58/6.77  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------