TSTP Solution File: GRP348-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP348-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 00:25:44 EDT 2023
% Result : Unsatisfiable 2.83s 3.06s
% Output : Proof 2.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP348-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 23:55:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ieZUSmkgnE/cvc5---1.0.5_17529.p...
% 0.20/0.51 ------- get file name : TPTP file name is GRP348-1
% 0.20/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17529.smt2...
% 0.20/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.83/3.06 % SZS status Unsatisfiable for GRP348-1
% 2.83/3.06 % SZS output start Proof for GRP348-1
% 2.91/3.15 (
% 2.91/3.15 (let ((_let_1 (forall ((X2 $$unsorted) (X3 $$unsorted) (X1 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c5 tptp.sk_c6) tptp.sk_c4)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c5)) (not (= (tptp.multiply X3 tptp.sk_c4) tptp.sk_c5)) (not (= (tptp.inverse tptp.sk_c4) tptp.sk_c5)) (not (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c6)) (not (= (tptp.multiply X1 tptp.sk_c5) tptp.sk_c6)))))) (let ((_let_2 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) (let ((_let_3 (= _let_2 tptp.sk_c6))) (let ((_let_4 (tptp.multiply tptp.sk_c2 tptp.sk_c4))) (let ((_let_5 (= _let_4 tptp.sk_c5))) (let ((_let_6 (tptp.inverse tptp.sk_c3))) (let ((_let_7 (= _let_6 tptp.sk_c6))) (let ((_let_8 (or _let_5 _let_7))) (let ((_let_9 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (let ((_let_10 (= _let_9 tptp.sk_c6))) (let ((_let_11 (or _let_5 _let_10))) (let ((_let_12 (tptp.inverse tptp.sk_c4))) (let ((_let_13 (= _let_12 tptp.sk_c5))) (let ((_let_14 (or _let_5 _let_13))) (let ((_let_15 (tptp.inverse tptp.sk_c2))) (let ((_let_16 (= _let_15 tptp.sk_c5))) (let ((_let_17 (or _let_16 _let_7))) (let ((_let_18 (or _let_16 _let_10))) (let ((_let_19 (or _let_16 _let_13))) (let ((_let_20 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (let ((_let_21 (= _let_20 tptp.sk_c6))) (let ((_let_22 (or _let_21 _let_3))) (let ((_let_23 (or _let_21 _let_7))) (let ((_let_24 (or _let_21 _let_10))) (let ((_let_25 (or _let_21 _let_13))) (let ((_let_26 (tptp.inverse tptp.sk_c1))) (let ((_let_27 (= _let_26 tptp.sk_c6))) (let ((_let_28 (or _let_27 _let_3))) (let ((_let_29 (or _let_27 _let_7))) (let ((_let_30 (or _let_27 _let_10))) (let ((_let_31 (or _let_27 _let_13))) (let ((_let_32 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (let ((_let_33 (= _let_32 tptp.sk_c4))) (let ((_let_34 (or _let_33 _let_3))) (let ((_let_35 (or _let_33 _let_7))) (let ((_let_36 (or _let_33 _let_10))) (let ((_let_37 (or _let_33 _let_13))) (let ((_let_38 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_39 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_40 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_41 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X1))) (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c5))))))) (let ((_let_42 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.inverse X3))) (not (= tptp.sk_c5 (tptp.multiply X3 tptp.sk_c4))))))) (let ((_let_43 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))))) (let ((_let_44 (= tptp.sk_c4 _let_32))) (let ((_let_45 (= tptp.sk_c6 _let_9))) (let ((_let_46 (= tptp.sk_c5 _let_12))) (let ((_let_47 (= tptp.sk_c6 _let_20))) (let ((_let_48 (not _let_47))) (let ((_let_49 (= tptp.sk_c6 _let_26))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_50 _let_48))) (let ((_let_52 (not _let_43))) (let ((_let_53 (not _let_51))) (let ((_let_54 (= tptp.sk_c6 _let_6))) (let ((_let_55 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c4))) (let ((_let_56 (= tptp.sk_c5 _let_55))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_59 (= tptp.sk_c5 _let_58))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_57))) (let ((_let_62 (= tptp.sk_c5 _let_4))) (let ((_let_63 (not _let_62))) (let ((_let_64 (= tptp.sk_c5 _let_15))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63))) (let ((_let_67 (not _let_54))) (let ((_let_68 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c5))) (let ((_let_69 (= tptp.sk_c6 _let_68))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_72 (= tptp.sk_c6 _let_71))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_70))) (let ((_let_75 (= tptp.identity (tptp.multiply _let_6 tptp.sk_c3)))) (let ((_let_76 (tptp.multiply _let_15 tptp.sk_c2))) (let ((_let_77 (= tptp.identity _let_76))) (let ((_let_78 (= tptp.identity (tptp.multiply _let_71 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_79 (tptp.multiply _let_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_80 (= tptp.identity _let_79))) (let ((_let_81 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_55))) (let ((_let_82 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_83 (tptp.multiply _let_82 tptp.sk_c4))) (let ((_let_84 (= _let_83 _let_81))) (let ((_let_85 (tptp.multiply tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_86 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_85))) (let ((_let_87 (tptp.multiply _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_88 (= _let_87 _let_86))) (let ((_let_89 (= (tptp.multiply _let_81 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_87)))) (let ((_let_90 (tptp.multiply tptp.sk_c5 _let_82))) (let ((_let_91 (= (tptp.multiply _let_90 tptp.sk_c4) (tptp.multiply tptp.sk_c5 _let_83)))) (let ((_let_92 (tptp.multiply tptp.sk_c5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_93 (tptp.multiply _let_92 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_94 (= (tptp.multiply _let_93 tptp.sk_c4) (tptp.multiply _let_92 _let_55)))) (let ((_let_95 (tptp.multiply tptp.sk_c4 _let_81))) (let ((_let_96 (tptp.multiply _let_85 _let_55))) (let ((_let_97 (= _let_96 _let_95))) (let ((_let_98 (tptp.multiply _let_82 _let_85))) (let ((_let_99 (= (tptp.multiply _let_83 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_98))) (let ((_let_100 (tptp.multiply tptp.sk_c4 tptp.sk_c3))) (let ((_let_101 (tptp.multiply _let_82 _let_100))) (let ((_let_102 (= (tptp.multiply _let_83 tptp.sk_c3) _let_101))) (let ((_let_103 (= _let_90 _let_93))) (let ((_let_104 (tptp.multiply tptp.sk_c4 _let_82))) (let ((_let_105 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_104))) (let ((_let_106 (= (tptp.multiply _let_55 _let_82) _let_105))) (let ((_let_107 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_100))) (let ((_let_108 (tptp.multiply _let_55 tptp.sk_c3))) (let ((_let_109 (= _let_108 _let_107))) (let ((_let_110 (tptp.multiply _let_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_111 (tptp.multiply _let_110 tptp.sk_c4))) (let ((_let_112 (= _let_96 _let_111))) (let ((_let_113 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_110))) (let ((_let_114 (tptp.multiply _let_86 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_115 (= _let_114 _let_113))) (let ((_let_116 (= _let_104 _let_110))) (let ((_let_117 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_111))) (let ((_let_118 (tptp.multiply _let_113 tptp.sk_c4))) (let ((_let_119 (= _let_118 _let_117))) (let ((_let_120 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_121 (tptp.multiply _let_82 (tptp.multiply _let_100 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_122 (tptp.multiply _let_101 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_123 (= _let_122 _let_121))) (let ((_let_124 (tptp.multiply _let_100 tptp.sk_c5))) (let ((_let_125 (= _let_124 (tptp.multiply tptp.sk_c4 _let_2)))) (let ((_let_126 (tptp.multiply _let_92 _let_90))) (let ((_let_127 (tptp.multiply _let_92 tptp.sk_c5))) (let ((_let_128 (= (tptp.multiply _let_127 _let_82) _let_126))) (let ((_let_129 (tptp.multiply tptp.sk_c1 _let_92))) (let ((_let_130 (= (tptp.multiply _let_129 tptp.sk_c5) (tptp.multiply tptp.sk_c1 _let_127)))) (let ((_let_131 (tptp.multiply (tptp.multiply _let_85 _let_92) tptp.sk_c5))) (let ((_let_132 (= _let_131 (tptp.multiply _let_85 _let_127)))) (let ((_let_133 (tptp.multiply tptp.identity tptp.sk_c4))) (let ((_let_134 (= tptp.sk_c4 _let_133))) (let ((_let_135 (tptp.multiply tptp.identity _let_85))) (let ((_let_136 (= _let_85 _let_135))) (let ((_let_137 (tptp.multiply tptp.identity _let_100))) (let ((_let_138 (= _let_100 _let_137))) (let ((_let_139 (= _let_82 (tptp.multiply tptp.identity _let_82)))) (let ((_let_140 (= _let_121 (tptp.multiply tptp.identity _let_121)))) (let ((_let_141 (= (tptp.multiply _let_133 _let_81) (tptp.multiply tptp.identity _let_95)))) (let ((_let_142 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_92))) (let ((_let_143 (tptp.multiply _let_92 _let_92))) (let ((_let_144 (= _let_143 (tptp.multiply tptp.sk_c5 _let_142)))) (let ((_let_145 (= (tptp.multiply _let_122 _let_104) (tptp.multiply _let_101 _let_105)))) (let ((_let_146 (= (tptp.multiply _let_117 tptp.sk_c3) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply _let_111 tptp.sk_c3))))) (let ((_let_147 (= _let_126 (tptp.multiply tptp.sk_c5 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_90))))) (let ((_let_148 (tptp.multiply _let_82 tptp.identity))) (let ((_let_149 (= (tptp.multiply _let_148 tptp.sk_c4) (tptp.multiply _let_82 _let_133)))) (let ((_let_150 (= (tptp.multiply _let_148 _let_85) (tptp.multiply _let_82 _let_135)))) (let ((_let_151 (tptp.multiply _let_148 _let_100))) (let ((_let_152 (= _let_151 (tptp.multiply _let_82 _let_137)))) (let ((_let_153 (tptp.multiply _let_85 _let_117))) (let ((_let_154 (= (tptp.multiply _let_110 _let_111) _let_153))) (let ((_let_155 (= (tptp.multiply _let_93 _let_85) (tptp.multiply _let_92 _let_86)))) (let ((_let_156 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_117))) (let ((_let_157 (= (tptp.multiply _let_82 _let_111) _let_156))) (let ((_let_158 (= _let_129 (tptp.multiply _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_159 (= (tptp.multiply _let_93 _let_100) (tptp.multiply _let_92 _let_107)))) (let ((_let_160 (= (tptp.multiply (tptp.multiply _let_121 tptp.identity) tptp.sk_c4) (tptp.multiply _let_121 _let_133)))) (let ((_let_161 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_162 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_161))) (let ((_let_163 (tptp.multiply _let_85 _let_108))) (let ((_let_164 (= (tptp.multiply _let_96 tptp.sk_c3) _let_163))) (let ((_let_165 (tptp.multiply tptp.identity tptp.sk_c1))) (let ((_let_166 (= tptp.sk_c1 _let_165))) (let ((_let_167 (tptp.multiply tptp.sk_c1 _let_4))) (let ((_let_168 (tptp.multiply tptp.sk_c1 tptp.sk_c2))) (let ((_let_169 (= (tptp.multiply _let_168 tptp.sk_c4) _let_167))) (let ((_let_170 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (let ((_let_171 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (let ((_let_172 (tptp.inverse tptp.sk_c5))) (let ((_let_173 (tptp.multiply _let_172 tptp.sk_c5))) (let ((_let_174 (= tptp.identity _let_173))) (let ((_let_175 (= (tptp.multiply _let_114 tptp.sk_c4) (tptp.multiply _let_86 _let_55)))) (let ((_let_176 (= (tptp.multiply _let_151 tptp.sk_c5) (tptp.multiply _let_148 _let_124)))) (let ((_let_177 (= (tptp.multiply _let_122 tptp.sk_c4) (tptp.multiply _let_101 _let_55)))) (let ((_let_178 (= (tptp.multiply _let_165 _let_110) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 _let_110))))) (let ((_let_179 (= (tptp.multiply tptp.sk_c5 _let_101) (tptp.multiply _let_90 _let_100)))) (let ((_let_180 (= _let_153 (tptp.multiply tptp.sk_c4 _let_156)))) (let ((_let_181 (= (tptp.multiply _let_118 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiply _let_113 _let_85)))) (let ((_let_182 (tptp.multiply tptp.sk_c1 tptp.sk_c4))) (let ((_let_183 (= (tptp.multiply _let_182 _let_82) (tptp.multiply tptp.sk_c1 _let_104)))) (let ((_let_184 (= (tptp.multiply _let_98 _let_55) (tptp.multiply _let_82 _let_96)))) (let ((_let_185 (= (tptp.multiply _let_142 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_93)))) (let ((_let_186 (= (tptp.multiply _let_86 _let_108) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_163)))) (let ((_let_187 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c1))) (let ((_let_188 (= (tptp.multiply tptp.sk_c5 _let_187) (tptp.multiply (tptp.multiply tptp.sk_c5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) tptp.sk_c1)))) (let ((_let_189 (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_48 _let_53))))) (let ((_let_190 (not _let_66))) (let ((_let_191 (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_63 _let_190))))) (let ((_let_192 (_let_43))) (let ((_let_193 ((tptp.inverse X2)))) (let ((_let_194 (ASSUME :args _let_192))) (let ((_let_195 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_193)) :args _let_192)))) (let ((_let_196 (_let_42))) (let ((_let_197 (ASSUME :args _let_196))) (let ((_let_198 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_197 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X3)))) :args _let_196)))) (let ((_let_199 (or))) (let ((_let_200 (not _let_74))) (let ((_let_201 (_let_52))) (let ((_let_202 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_201)) :args _let_201)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_43))) (REFL :args (_let_200)) :args _let_199)))) (let ((_let_203 (not _let_42))) (let ((_let_204 (_let_203))) (let ((_let_205 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_204)) :args _let_204)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_203) _let_42))) (REFL :args ((not _let_61))) :args _let_199)))) (let ((_let_206 (REFL :args (_let_74)))) (let ((_let_207 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 0)) (CONG _let_206 (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_72))) :args _let_199)) :args ((or _let_72 _let_74))))) (let ((_let_208 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 1)) (CONG _let_206 (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_69))) :args _let_199)) :args ((or _let_69 _let_74))))) (let ((_let_209 (REFL :args (_let_61)))) (let ((_let_210 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 0)) (CONG _let_209 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_59))) :args _let_199)) :args ((or _let_59 _let_61))))) (let ((_let_211 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 1)) (CONG _let_209 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_199)) :args ((or _let_56 _let_61))))) (let ((_let_212 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_213 (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_214 (_let_212))) (let ((_let_215 ((tptp.inverse X)))) (let ((_let_216 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_215)) :args _let_214)) _let_213 :args (_let_75 false _let_212)))) (let ((_let_217 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_215)) :args _let_214)) _let_213 :args (_let_77 false _let_212)))) (let ((_let_218 (MACRO_RESOLUTION_TRUST 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:args (_let_180 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 _let_82 _let_100 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220))) _let_221 :args (_let_179 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.identity tptp.sk_c1 _let_110 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_178 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_101 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_177 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_148 _let_100 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_176 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_86 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 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:args _let_220)) _let_221 :args (_let_157 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_92 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_85 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_155 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_111 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_154 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_82 tptp.identity _let_100 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_152 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_82 tptp.identity _let_85 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_150 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_82 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_let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (_let_121 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_227)) :args _let_226)) _let_225 :args (_let_140 false _let_224)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (_let_82 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_227)) :args _let_226)) _let_225 :args (_let_139 false _let_224)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (_let_100 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_227)) :args _let_226)) _let_225 :args (_let_138 false _let_224)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (_let_85 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_227)) :args _let_226)) _let_225 :args (_let_136 false _let_224)) _let_229 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_85 _let_92 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_132 false _let_38)) _let_228 (MACRO_RESOLUTION_TRUST 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_let_221 :args (_let_119 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220))) _let_221 :args (_let_116 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_115 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220))) _let_221 :args (_let_112 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c4 tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_109 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c4 _let_82 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_106 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220))) _let_221 :args (_let_103 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_82 tptp.sk_c4 tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_102 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_82 tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_99 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_55 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_97 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_92 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_94 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 _let_82 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_91 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_89 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c4 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:args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_45 _let_49))) :args ((or _let_45 _let_67) false _let_188 false _let_186 false _let_185 false _let_184 false _let_183 false _let_181 false _let_180 false _let_179 false _let_178 false _let_177 false _let_176 false _let_175 false _let_44 false _let_174 false _let_171 false _let_170 false _let_169 false _let_166 false _let_164 false _let_162 false _let_160 false _let_159 false _let_158 false _let_157 false _let_155 false _let_154 false _let_152 false _let_150 false _let_149 false _let_147 false _let_146 false _let_145 false _let_144 false _let_141 false _let_140 false _let_139 false _let_138 false _let_136 false _let_134 false _let_132 false _let_130 false _let_128 false _let_125 false _let_123 false _let_120 false _let_119 false _let_116 false _let_115 false _let_112 false _let_109 false _let_106 false _let_103 false _let_102 false _let_99 false _let_97 false _let_94 false _let_91 false _let_89 false _let_88 false _let_84 false _let_80 false _let_78 false _let_77 false _let_75 false _let_56 false _let_59 false _let_69 false _let_72 true _let_61 true _let_74 true _let_42 true _let_43 true _let_66 true _let_51 false _let_62 false _let_64 false _let_47 false _let_49)))) (let ((_let_564 (or _let_67 _let_264))) (let ((_let_565 (= tptp.sk_c5 _let_133))) (let ((_let_566 (not _let_565))) (let ((_let_567 (= tptp.sk_c5 (tptp.inverse tptp.identity)))) (let ((_let_568 (not _let_567))) (let ((_let_569 (or _let_568 _let_566))) (let ((_let_570 (= _let_127 (tptp.multiply tptp.sk_c5 _let_68)))) (let ((_let_571 (tptp.multiply tptp.sk_c4 _let_92))) (let ((_let_572 (= (tptp.multiply _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_571))) (let ((_let_573 (= (tptp.multiply _let_571 tptp.sk_c5) (tptp.multiply tptp.sk_c4 _let_127)))) (let ((_let_574 (tptp.multiply tptp.sk_c4 tptp.sk_c4))) (let ((_let_575 (= _let_574 (tptp.multiply tptp.identity _let_574)))) (let ((_let_576 (= (tptp.multiply (tptp.multiply _let_12 tptp.identity) tptp.sk_c4) (tptp.multiply _let_12 _let_133)))) (let ((_let_577 (= (tptp.multiply tptp.sk_c4 _let_574) (tptp.multiply _let_574 tptp.sk_c4)))) (let ((_let_578 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_43 (= X2 X1)))))) (let ((_let_579 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_580 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_570 false _let_38)))) (let ((_let_581 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 tptp.sk_c5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_572 false _let_38)))) (let ((_let_582 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 _let_92 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_573 false _let_38)))) (let ((_let_583 (not _let_573))) (let ((_let_584 (not _let_572))) (let ((_let_585 (not _let_570))) (let ((_let_586 (and _let_44 _let_46 _let_45 _let_54 _let_72 _let_69 _let_241 _let_77 _let_78 _let_570 _let_572 _let_243 _let_573 _let_134 _let_575 _let_170 _let_171))) (let ((_let_587 (SYMM _let_426))) (let ((_let_588 (TRANS _let_270 _let_293))) (let ((_let_589 (ASSUME :args (_let_572)))) (let ((_let_590 (SYMM _let_589))) (let ((_let_591 (CONG (TRANS _let_590 (CONG (TRANS _let_588 (TRANS (SYMM _let_293) _let_467)) _let_448 :args _let_268) _let_471) _let_275 :args _let_268))) (let ((_let_592 (ASSUME :args (_let_573)))) (let ((_let_593 (SYMM _let_592))) (let ((_let_594 (ASSUME :args (_let_570)))) (let ((_let_595 (SYMM _let_594))) (let ((_let_596 (SYMM _let_430))) (let ((_let_597 (CONG _let_271 _let_596 :args _let_268))) (let ((_let_598 (TRANS _let_587 _let_597 _let_595))) (let ((_let_599 (CONG _let_317 _let_598 :args _let_268))) (let ((_let_600 (ASSUME :args (_let_575)))) (let ((_let_601 (SYMM _let_599))) (let ((_let_602 (SYMM _let_493))) (let ((_let_603 (SYMM _let_492))) (let ((_let_604 (SYMM _let_491))) (let ((_let_605 (and _let_44 _let_46 _let_45 _let_54 _let_72 _let_69 _let_241 _let_75 _let_77 _let_78 _let_570 _let_572 _let_573 _let_134 _let_576 _let_577 _let_245 _let_170 _let_171 _let_174))) (let ((_let_606 (APPLY_UF tptp.inverse))) (let ((_let_607 (CONG (TRANS _let_590 (CONG (TRANS _let_588 (TRANS _let_292 _let_467)) _let_448 :args _let_268) _let_471) _let_275 :args _let_268))) (let ((_let_608 (TRANS _let_599 _let_593 _let_607 _let_493 _let_492 _let_491 _let_276))) (let ((_let_609 (CONG _let_277 _let_608 :args _let_268))) (let ((_let_610 (ASSUME :args (_let_577)))) (let ((_let_611 (SYMM _let_610))) (let ((_let_612 (CONG (REFL :args (_let_574)) (SYMM _let_598) :args _let_268))) (let ((_let_613 (CONG (SYMM _let_608) _let_598 :args _let_268))) (let ((_let_614 (ASSUME :args (_let_576)))) (let ((_let_615 (SYMM _let_294))) (let ((_let_616 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_569)) :args ((or _let_568 _let_566 (not _let_569)))) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_605)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_288 _let_291 _let_269 _let_277 _let_275 _let_304 _let_302 _let_470 _let_466 _let_589 _let_592 _let_594 _let_429 _let_425 _let_610 _let_279 _let_283 _let_308 _let_614 _let_297) (SCOPE (TRANS _let_275 _let_604 _let_603 _let_602 (SYMM _let_607) _let_592 _let_601 (CONG (TRANS _let_587 (CONG _let_271 (TRANS _let_269 _let_615 (SYMM _let_609) _let_610 (SYMM _let_612) (SYMM _let_613) _let_314 _let_313 _let_284 _let_297) :args _let_268) (CONG _let_279 _let_298 :args _let_268)) _let_317 :args _let_268) (SYMM (SYMM _let_614)) _let_280 _let_613 _let_612 _let_611 _let_609 _let_294 _let_270 _let_293 (CONG (TRANS _let_309 (CONG (TRANS _let_286 (TRANS _let_613 _let_612 _let_611 _let_609 _let_294 _let_270 _let_293)) _let_290 :args _let_268) _let_289) :args _let_606)) :args (_let_75 _let_54 _let_45 _let_134 _let_171 _let_77 _let_170 _let_78 _let_72 _let_572 _let_573 _let_570 _let_69 _let_44 _let_577 _let_46 _let_241 _let_245 _let_576 _let_174))) :args (_let_44 _let_46 _let_45 _let_54 _let_72 _let_69 _let_241 _let_75 _let_77 _let_78 _let_570 _let_572 _let_573 _let_134 _let_576 _let_577 _let_245 _let_170 _let_171 _let_174))) :args (true _let_605)) :args ((or _let_376 _let_266 _let_265 _let_67 _let_73 _let_70 _let_263 _let_262 _let_261 _let_375 _let_585 _let_584 _let_583 _let_259 (not _let_576) (not _let_577) _let_258 _let_567 _let_257 _let_256 _let_255))) _let_318 _let_239 _let_238 _let_236 _let_250 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 tptp.sk_c4 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220))) _let_221 :args (_let_577 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_12 tptp.identity tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_576 false _let_38)) _let_229 _let_582 _let_581 _let_580 _let_218 _let_217 _let_216 _let_248 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_586)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_277 _let_425 _let_269 _let_273 _let_275 _let_304 _let_302 _let_470 _let_466 _let_291 _let_589 _let_592 _let_594 _let_429 _let_279 _let_283 _let_600) (SCOPE (TRANS _let_275 _let_604 _let_603 _let_602 (SYMM _let_591) _let_592 _let_601 (SYMM (SYMM _let_600)) (CONG (TRANS _let_285 (CONG _let_281 _let_482 :args _let_268) _let_280) (TRANS _let_599 _let_593 _let_591 _let_493 _let_492 _let_491 _let_276) :args _let_268) _let_274 _let_272 (SYMM _let_587) _let_482) :args (_let_134 _let_44 _let_45 _let_243 _let_171 _let_77 _let_170 _let_78 _let_72 _let_54 _let_572 _let_573 _let_570 _let_69 _let_46 _let_241 _let_575))) :args (_let_44 _let_46 _let_45 _let_54 _let_72 _let_69 _let_241 _let_77 _let_78 _let_570 _let_572 _let_243 _let_573 _let_134 _let_575 _let_170 _let_171))) :args (true _let_586)) :args ((or _let_376 _let_266 _let_265 _let_67 _let_73 _let_70 _let_263 _let_261 _let_375 _let_585 _let_584 _let_260 _let_583 _let_259 (not _let_575) _let_565 _let_257 _let_256))) _let_318 _let_238 _let_236 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (_let_574 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_227)) :args _let_226)) _let_225 :args (_let_575 false _let_224)) _let_229 _let_582 _let_249 _let_581 _let_580 _let_218 _let_217 _let_248 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_197 :args _let_235) :args _let_196)) _let_579 _let_318 _let_578 _let_207 _let_208 _let_202 :args ((or _let_266 _let_265 _let_43 _let_67) false _let_567 false _let_44 false _let_174 false _let_171 false _let_170 false _let_245 false _let_577 false _let_576 false _let_134 false _let_573 false _let_572 false _let_570 false _let_78 false _let_77 false _let_75 false _let_241 false _let_565 false _let_44 false _let_171 false _let_170 false _let_575 false _let_134 false _let_573 false _let_243 false _let_572 false _let_570 false _let_78 false _let_77 false _let_241 false _let_569 false _let_42 false _let_44 true _let_41 false _let_72 false _let_69 true _let_74)))) (let ((_let_617 (REORDERING (CNF_OR_POS :args (_let_564)) :args ((or _let_67 _let_264 (not _let_564)))))) (let ((_let_618 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_193)) :args _let_192)))) (let ((_let_619 (MACRO_RESOLUTION_TRUST _let_618 _let_617 _let_616 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_240 _let_47))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_46 _let_47))) _let_563 :args ((or _let_47 _let_67) true _let_564 false _let_43 false _let_240 false _let_46 false _let_45)))) (let ((_let_620 (tptp.multiply _let_26 tptp.sk_c1))) (let ((_let_621 (= tptp.identity _let_620))) (let ((_let_622 (tptp.multiply tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_623 (tptp.multiply _let_622 tptp.sk_c4))) (let ((_let_624 (= _let_623 (tptp.multiply tptp.sk_c4 _let_55)))) (let ((_let_625 (= (tptp.multiply (tptp.multiply tptp.sk_c1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) tptp.sk_c4) (tptp.multiply tptp.sk_c1 _let_55)))) (let ((_let_626 (tptp.multiply _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_627 (= _let_626 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_622)))) (let ((_let_628 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_574))) (let ((_let_629 (= (tptp.multiply _let_55 tptp.sk_c4) _let_628))) (let ((_let_630 (tptp.multiply tptp.sk_c5 _let_622))) (let ((_let_631 (= (tptp.multiply _let_630 tptp.sk_c4) (tptp.multiply tptp.sk_c5 _let_623)))) (let ((_let_632 (tptp.multiply tptp.sk_c4 _let_622))) (let ((_let_633 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_632))) (let ((_let_634 (= (tptp.multiply _let_55 _let_622) _let_633))) (let ((_let_635 (tptp.multiply _let_242 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_636 (= _let_630 _let_635))) (let ((_let_637 (tptp.multiply _let_242 _let_55))) (let ((_let_638 (= (tptp.multiply _let_635 tptp.sk_c4) _let_637))) (let ((_let_639 (tptp.multiply _let_574 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_640 (= _let_632 _let_639))) (let ((_let_641 (= (tptp.multiply _let_133 _let_622) (tptp.multiply tptp.identity _let_632)))) (let ((_let_642 (tptp.multiply _let_633 _let_632))) (let ((_let_643 (= _let_642 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply _let_632 _let_632))))) (let ((_let_644 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.identity) tptp.sk_c4) (tptp.multiply tptp.sk_c2 _let_133)))) (let ((_let_645 (= (tptp.multiply _let_79 _let_632) (tptp.multiply _let_58 _let_633)))) (let ((_let_646 (tptp.multiply _let_574 _let_633))) (let ((_let_647 (= (tptp.multiply _let_639 _let_632) _let_646))) (let ((_let_648 (= (tptp.multiply (tptp.multiply _let_58 tptp.sk_c4) _let_622) (tptp.multiply _let_58 _let_632)))) (let ((_let_649 (= (tptp.multiply _let_620 tptp.sk_c4) (tptp.multiply _let_26 _let_182)))) (let ((_let_650 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (let ((_let_651 (tptp.multiply tptp.sk_c2 _let_650))) (let ((_let_652 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (let ((_let_653 (tptp.multiply _let_652 tptp.sk_c2))) (let ((_let_654 (= _let_653 _let_651))) (let ((_let_655 (tptp.multiply tptp.sk_c4 tptp.sk_c2))) (let ((_let_656 (= (tptp.multiply _let_655 tptp.sk_c5) (tptp.multiply tptp.sk_c4 _let_652)))) (let ((_let_657 (= (tptp.multiply _let_168 tptp.sk_c5) (tptp.multiply tptp.sk_c1 _let_652)))) (let ((_let_658 (tptp.multiply tptp.sk_c2 _let_652))) (let ((_let_659 (tptp.multiply tptp.sk_c2 tptp.sk_c2))) (let ((_let_660 (tptp.multiply _let_659 tptp.sk_c5))) (let ((_let_661 (= _let_660 _let_658))) (let ((_let_662 (tptp.multiply tptp.identity tptp.sk_c2))) (let ((_let_663 (= tptp.sk_c2 _let_662))) (let ((_let_664 (tptp.multiply tptp.sk_c2 _let_655))) (let ((_let_665 (= (tptp.multiply _let_4 tptp.sk_c2) _let_664))) (let ((_let_666 (tptp.multiply tptp.sk_c4 _let_659))) (let ((_let_667 (= (tptp.multiply _let_666 tptp.sk_c5) (tptp.multiply tptp.sk_c4 _let_660)))) (let ((_let_668 (tptp.multiply _let_659 tptp.sk_c4))) (let ((_let_669 (= _let_668 (tptp.multiply tptp.sk_c2 _let_4)))) (let ((_let_670 (tptp.multiply tptp.sk_c5 tptp.sk_c1))) (let ((_let_671 (tptp.multiply _let_670 _let_4))) (let ((_let_672 (tptp.multiply _let_670 tptp.sk_c2))) (let ((_let_673 (= (tptp.multiply _let_672 tptp.sk_c4) _let_671))) (let ((_let_674 (tptp.multiply _let_187 _let_4))) (let ((_let_675 (tptp.multiply _let_187 tptp.sk_c2))) (let ((_let_676 (= (tptp.multiply _let_675 tptp.sk_c4) _let_674))) (let ((_let_677 (tptp.multiply _let_168 _let_660))) (let ((_let_678 (tptp.multiply _let_168 _let_659))) (let ((_let_679 (tptp.multiply _let_678 tptp.sk_c5))) (let ((_let_680 (= _let_679 _let_677))) (let ((_let_681 (tptp.multiply tptp.sk_c5 _let_168))) (let ((_let_682 (= _let_672 _let_681))) (let ((_let_683 (= (tptp.multiply _let_76 tptp.sk_c2) (tptp.multiply _let_15 _let_659)))) (let ((_let_684 (tptp.multiply tptp.sk_c2 _let_679))) (let ((_let_685 (tptp.multiply tptp.sk_c2 _let_678))) (let ((_let_686 (= (tptp.multiply _let_685 tptp.sk_c5) _let_684))) (let ((_let_687 (tptp.multiply _let_168 tptp.sk_c2))) (let ((_let_688 (tptp.multiply tptp.sk_c1 _let_659))) (let ((_let_689 (= _let_688 _let_687))) (let ((_let_690 (tptp.multiply _let_26 tptp.sk_c2))) (let ((_let_691 (= (tptp.multiply _let_690 tptp.sk_c2) (tptp.multiply _let_26 _let_659)))) (let ((_let_692 (tptp.multiply _let_687 tptp.sk_c2))) (let ((_let_693 (= _let_678 _let_692))) (let ((_let_694 (tptp.multiply _let_670 _let_659))) (let ((_let_695 (= (tptp.multiply _let_672 tptp.sk_c2) _let_694))) (let ((_let_696 (tptp.multiply tptp.sk_c4 tptp.sk_c1))) (let ((_let_697 (= _let_696 (tptp.multiply tptp.identity _let_696)))) (let ((_let_698 (= (tptp.multiply _let_637 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply _let_242 _let_626)))) (let ((_let_699 (= (tptp.multiply _let_662 tptp.sk_c5) (tptp.multiply tptp.identity _let_652)))) (let ((_let_700 (= (tptp.multiply _let_637 _let_633) (tptp.multiply _let_242 (tptp.multiply _let_55 _let_633))))) (let ((_let_701 (= (tptp.multiply _let_653 tptp.sk_c4) (tptp.multiply _let_652 _let_4)))) (let ((_let_702 (= (tptp.multiply _let_637 tptp.sk_c2) (tptp.multiply _let_242 (tptp.multiply _let_55 tptp.sk_c2))))) (let ((_let_703 (= (tptp.multiply _let_692 tptp.sk_c5) (tptp.multiply _let_687 _let_652)))) (let ((_let_704 (= _let_674 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_167)))) (let ((_let_705 (= _let_675 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_168)))) (let ((_let_706 (= _let_671 (tptp.multiply tptp.sk_c5 _let_167)))) (let ((_let_707 (= (tptp.multiply _let_637 tptp.sk_c1) (tptp.multiply _let_242 (tptp.multiply _let_55 tptp.sk_c1))))) (let ((_let_708 (= _let_694 (tptp.multiply tptp.sk_c5 _let_688)))) (let ((_let_709 (= (tptp.multiply _let_168 _let_679) (tptp.multiply tptp.sk_c1 _let_684)))) (let ((_let_710 (tptp.multiply _let_690 _let_655))) (let ((_let_711 (= _let_710 (tptp.multiply _let_26 _let_664)))) (let ((_let_712 (= (tptp.multiply (tptp.multiply _let_26 tptp.identity) tptp.sk_c1) (tptp.multiply _let_26 _let_165)))) (let ((_let_713 (= (tptp.multiply _let_628 _let_633) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_646)))) (let ((_let_714 (= _let_642 (tptp.multiply (tptp.multiply _let_633 tptp.sk_c4) _let_622)))) (let ((_let_715 (tptp.multiply tptp.sk_c5 tptp.identity))) (let ((_let_716 (tptp.multiply _let_715 tptp.sk_c1))) (let ((_let_717 (= _let_716 (tptp.multiply tptp.sk_c5 _let_165)))) (let ((_let_718 (tptp.multiply tptp.sk_c5 _let_659))) (let ((_let_719 (= (tptp.multiply _let_20 _let_659) (tptp.multiply tptp.sk_c1 _let_718)))) (let ((_let_720 (= (tptp.multiply _let_666 tptp.sk_c4) (tptp.multiply tptp.sk_c4 _let_668)))) (let ((_let_721 (= (tptp.multiply _let_9 _let_659) (tptp.multiply tptp.sk_c4 _let_718)))) (let ((_let_722 (= (tptp.multiply (tptp.multiply _let_652 tptp.sk_c5) _let_659) (tptp.multiply _let_652 _let_718)))) (let ((_let_723 (= (tptp.multiply _let_4 _let_622) (tptp.multiply tptp.sk_c2 _let_632)))) (let ((_let_724 (= (tptp.multiply (tptp.multiply _let_187 tptp.sk_c5) _let_659) (tptp.multiply _let_187 _let_718)))) (let ((_let_725 (= (tptp.multiply (tptp.multiply _let_670 tptp.sk_c5) _let_659) (tptp.multiply _let_670 _let_718)))) (let ((_let_726 (= (tptp.multiply _let_655 _let_652) (tptp.multiply tptp.sk_c4 _let_658)))) (let ((_let_727 (= _let_666 (tptp.multiply _let_655 tptp.sk_c2)))) (let ((_let_728 (tptp.multiply tptp.sk_c4 tptp.identity))) (let ((_let_729 (= (tptp.multiply _let_728 tptp.sk_c1) (tptp.multiply tptp.sk_c4 _let_165)))) (let ((_let_730 (= (tptp.multiply _let_650 _let_696) (tptp.multiply (tptp.multiply _let_650 tptp.sk_c4) tptp.sk_c1)))) (let ((_let_731 (tptp.multiply tptp.sk_c2 _let_168))) (let ((_let_732 (= (tptp.multiply _let_731 _let_660) (tptp.multiply tptp.sk_c2 _let_677)))) (let ((_let_733 (= _let_685 (tptp.multiply _let_731 _let_659)))) (let ((_let_734 (tptp.multiply tptp.sk_c5 _let_690))) (let ((_let_735 (= _let_734 (tptp.multiply (tptp.multiply tptp.sk_c5 _let_26) tptp.sk_c2)))) (let ((_let_736 (= (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_690) (tptp.multiply (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_26) tptp.sk_c2)))) (let ((_let_737 (= (tptp.multiply _let_681 _let_660) (tptp.multiply tptp.sk_c5 _let_677)))) (let ((_let_738 (= (tptp.multiply tptp.sk_c5 _let_678) (tptp.multiply _let_681 _let_659)))) (let ((_let_739 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_46 _let_64))))) (let ((_let_740 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_46 _let_62))))) (let ((_let_741 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_215)) :args _let_214)) _let_213 :args (_let_621 false _let_212)))) (let ((_let_742 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c2 tptp.identity tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_644 false _let_38)))) (let ((_let_743 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_26 tptp.sk_c1 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_649 false _let_38)))) (let ((_let_744 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c2 tptp.sk_c5 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_654 false _let_38)))) (let ((_let_745 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c2 tptp.sk_c2 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_661 false _let_38)))) (let ((_let_746 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_227)) :args _let_226)) _let_225 :args (_let_663 false _let_224)))) (let ((_let_747 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c2 tptp.sk_c4 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_665 false _let_38)))) (let ((_let_748 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 _let_659 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_667 false _let_38)))) (let ((_let_749 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c2 tptp.sk_c2 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_669 false _let_38)))) (let 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_let_695 _let_170 _let_171 _let_174 _let_246 _let_697 _let_698 _let_699 _let_700 _let_701 _let_702 _let_703 _let_704 _let_705 _let_706 _let_707 _let_708 _let_709 _let_711 _let_712 _let_713 _let_714 _let_717 _let_719 _let_720 _let_721 _let_722 _let_723 _let_724 _let_725 _let_726 _let_727 _let_729 _let_730 _let_732 _let_733 _let_735 _let_736 _let_737 _let_738)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_830)))) (TRUE_INTRO (ASSUME :args (_let_829))))) :args (_let_830 _let_829)) :args ((not (and _let_44 _let_45 _let_49 _let_47 _let_64 _let_62 _let_266 _let_59 _let_56 _let_621 _let_77 _let_80 _let_624 _let_625 _let_627 _let_629 _let_631 _let_634 _let_636 _let_638 _let_640 _let_134 _let_641 _let_643 _let_644 _let_645 _let_647 _let_648 _let_649 _let_654 _let_656 _let_657 _let_661 _let_166 _let_663 _let_665 _let_667 _let_669 _let_169 _let_673 _let_676 _let_680 _let_682 _let_683 _let_686 _let_689 _let_691 _let_693 _let_695 _let_170 _let_171 _let_174 _let_246 _let_697 _let_698 _let_699 _let_700 _let_701 _let_702 _let_703 _let_704 _let_705 _let_706 _let_707 _let_708 _let_709 _let_711 _let_712 _let_713 _let_714 _let_717 _let_719 _let_720 _let_721 _let_722 _let_723 _let_724 _let_725 _let_726 _let_727 _let_729 _let_730 _let_732 _let_733 _let_735 _let_736 _let_737 _let_738)) SB_LITERAL))) (CONG _let_390 (REFL :args _let_552) _let_389 _let_388 (REFL :args (_let_65)) _let_387 (MACRO_SR_PRED_INTRO :args ((= (not _let_266) _let_46))) _let_386 _let_385 (REFL :args (_let_828)) _let_384 _let_383 (REFL :args (_let_827)) (REFL :args (_let_826)) (REFL :args (_let_825)) (REFL :args (_let_824)) (REFL :args (_let_823)) (REFL :args (_let_822)) (REFL :args (_let_821)) (REFL :args (_let_820)) (REFL :args (_let_819)) _let_382 (REFL :args (_let_818)) (REFL :args (_let_817)) (REFL :args (_let_816)) (REFL :args (_let_815)) (REFL :args (_let_814)) (REFL :args (_let_813)) (REFL :args (_let_812)) (REFL :args (_let_811)) (REFL :args (_let_810)) (REFL :args (_let_809)) (REFL :args (_let_808)) _let_381 (REFL :args (_let_807)) (REFL :args (_let_806)) (REFL :args (_let_805)) (REFL :args (_let_804)) _let_380 (REFL :args (_let_803)) (REFL :args (_let_802)) (REFL :args (_let_801)) (REFL :args (_let_800)) (REFL :args (_let_799)) (REFL :args (_let_798)) (REFL :args (_let_797)) (REFL :args (_let_796)) (REFL :args (_let_795)) (REFL :args (_let_794)) _let_379 _let_378 _let_377 (REFL :args (_let_254)) (REFL :args (_let_793)) (REFL :args (_let_792)) (REFL :args (_let_791)) (REFL :args (_let_790)) (REFL :args (_let_789)) (REFL :args (_let_788)) (REFL :args (_let_787)) (REFL :args (_let_786)) (REFL :args (_let_785)) (REFL :args (_let_784)) (REFL :args (_let_783)) (REFL :args (_let_782)) (REFL :args (_let_781)) (REFL :args (_let_780)) (REFL :args (_let_779)) (REFL :args (_let_778)) (REFL :args (_let_777)) (REFL :args (_let_776)) (REFL :args (_let_775)) (REFL :args (_let_774)) (REFL :args (_let_773)) (REFL :args (_let_772)) (REFL :args (_let_771)) (REFL :args (_let_770)) (REFL :args (_let_769)) (REFL :args (_let_768)) (REFL :args (_let_767)) (REFL :args (_let_766)) (REFL :args (_let_765)) (REFL :args (_let_764)) (REFL :args (_let_763)) (REFL :args (_let_762)) (REFL :args (_let_761)) (REFL :args (_let_760)) (REFL :args (_let_759)) :args _let_199)) :args ((or _let_46 _let_376 _let_265 _let_50 _let_48 _let_65 _let_63 _let_60 _let_57 _let_828 _let_261 _let_374 _let_827 _let_826 _let_825 _let_824 _let_823 _let_822 _let_821 _let_820 _let_819 _let_259 _let_818 _let_817 _let_816 _let_815 _let_814 _let_813 _let_812 _let_811 _let_810 _let_809 _let_808 _let_332 _let_807 _let_806 _let_805 _let_804 _let_331 _let_803 _let_802 _let_801 _let_800 _let_799 _let_798 _let_797 _let_796 _let_795 _let_794 _let_257 _let_256 _let_255 _let_254 _let_793 _let_792 _let_791 _let_790 _let_789 _let_788 _let_787 _let_786 _let_785 _let_784 _let_783 _let_782 _let_781 _let_780 _let_779 _let_778 _let_777 _let_776 _let_775 _let_774 _let_773 _let_772 _let_771 _let_770 _let_769 _let_768 _let_767 _let_766 _let_765 _let_764 _let_763 _let_762 _let_761 _let_760 _let_759))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 _let_168 _let_659 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220))) _let_221 :args (_let_738 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 _let_168 _let_660 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_737 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_26 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220))) _let_221 :args (_let_736 false _let_38)) _let_758 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c2 _let_168 _let_659 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220))) _let_221 :args (_let_733 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c2 _let_168 _let_660 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_732 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_650 tptp.sk_c4 tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220))) _let_221 :args (_let_730 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 tptp.identity tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_729 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 tptp.sk_c2 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220))) _let_221 :args (_let_727 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 tptp.sk_c2 _let_652 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_726 false _let_38)) _let_757 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_187 tptp.sk_c5 _let_659 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_724 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c2 tptp.sk_c4 _let_622 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_723 false _let_38)) _let_756 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 tptp.sk_c5 _let_659 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_721 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 _let_659 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_720 false _let_38)) _let_755 _let_754 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_633 tptp.sk_c4 _let_622 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220))) _let_221 :args (_let_714 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_574 _let_633 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_713 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_26 tptp.identity tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_712 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_26 tptp.sk_c2 _let_655 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_711 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c1 tptp.sk_c2 _let_679 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_709 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 tptp.sk_c1 _let_659 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_708 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_242 _let_55 tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_707 false _let_38)) _let_753 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c1 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_705 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c1 _let_4 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_704 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_687 tptp.sk_c2 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_703 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_242 _let_55 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_702 false _let_38)) _let_752 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_242 _let_55 _let_633 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_700 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.identity tptp.sk_c2 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_699 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_242 _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_698 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (_let_696 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_227)) :args _let_226)) _let_225 :args (_let_697 false _let_224)) _let_318 _let_251 _let_239 _let_238 _let_236 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_670 tptp.sk_c2 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_695 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_168 tptp.sk_c2 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220))) _let_221 :args (_let_693 false _let_38)) _let_751 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c1 tptp.sk_c2 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220))) _let_221 :args (_let_689 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c2 _let_678 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_686 false _let_38)) _let_750 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 tptp.sk_c1 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_682 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_168 _let_659 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_680 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_187 tptp.sk_c2 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_676 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_670 tptp.sk_c2 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_673 false _let_38)) _let_234 _let_749 _let_748 _let_747 _let_746 _let_233 _let_745 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c1 tptp.sk_c2 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_657 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 tptp.sk_c2 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_656 false _let_38)) _let_744 _let_743 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_58 tptp.sk_c4 _let_622 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_648 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_574 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_632 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_647 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_632 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_645 false _let_38)) _let_742 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_632 _let_632 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_643 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.identity tptp.sk_c4 _let_622 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_641 false _let_38)) _let_229 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220))) _let_221 :args (_let_640 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_242 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_638 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220))) _let_221 :args (_let_636 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c4 _let_622 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_634 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 _let_622 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_631 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c4 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_629 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_627 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_625 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_624 false _let_38)) _let_219 _let_217 _let_741 _let_191 _let_740 _let_739 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_46 _let_49))) :args ((or _let_46 _let_265 _let_48 _let_57) false _let_61 true _let_42 true _let_59 false _let_738 false _let_737 false _let_736 false _let_735 false _let_733 false _let_732 false _let_730 false _let_729 false _let_727 false _let_726 false _let_725 false _let_724 false _let_723 false _let_722 false _let_721 false _let_720 false _let_719 false _let_717 false _let_714 false _let_713 false _let_712 false _let_711 false _let_709 false _let_708 false _let_707 false _let_706 false _let_705 false _let_704 false _let_703 false _let_702 false _let_701 false _let_700 false _let_699 false _let_698 false _let_697 false _let_44 false _let_246 false _let_174 false _let_171 false _let_170 false _let_695 false _let_693 false _let_691 false _let_689 false _let_686 false _let_683 false _let_682 false _let_680 false _let_676 false _let_673 false _let_169 false _let_669 false _let_667 false _let_665 false _let_663 false _let_166 false _let_661 false _let_657 false _let_656 false _let_654 false _let_649 false _let_648 false _let_647 false _let_645 false _let_644 false _let_643 false _let_641 false _let_134 false _let_640 false _let_638 false _let_636 false _let_634 false _let_631 false _let_629 false _let_627 false _let_625 false _let_624 false _let_80 false _let_77 false _let_621 true _let_66 false _let_62 false _let_64 false _let_49)) _let_563 :args ((or _let_67 _let_48 _let_57) true _let_49 true _let_240 false _let_51 false _let_564 false _let_43 false _let_46 false _let_45)) _let_619 _let_563 :args (_let_67 false _let_62 false _let_64 true _let_46 true _let_43 false _let_66 false _let_42 false _let_61 true _let_56 false _let_47 false _let_45)))) (let ((_let_1142 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_54 _let_47))) _let_1141 :args (_let_47 true _let_54)))) (let ((_let_1143 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_54 _let_49))) _let_1141 :args (_let_49 true _let_54)))) (let ((_let_1144 (MACRO_RESOLUTION_TRUST _let_195 (MACRO_RESOLUTION_TRUST _let_189 _let_1143 _let_1142 :args (_let_53 false _let_49 false _let_47)) :args (_let_52 true _let_51)))) (let ((_let_1145 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_54 _let_62))) _let_1141 :args (_let_62 true _let_54)))) (let ((_let_1146 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_54 _let_64))) _let_1141 :args (_let_64 true _let_54)))) (let ((_let_1147 (= (tptp.multiply _let_660 _let_690) (tptp.multiply _let_659 _let_734)))) (let ((_let_1148 (tptp.multiply _let_182 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_1149 (= (tptp.multiply (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_182) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1148)))) (let ((_let_1150 (tptp.multiply _let_26 tptp.sk_c5))) (let ((_let_1151 (tptp.multiply _let_1150 _let_659))) (let ((_let_1152 (= (tptp.multiply (tptp.multiply _let_670 _let_1150) _let_659) (tptp.multiply _let_670 _let_1151)))) (let ((_let_1153 (= (tptp.multiply (tptp.multiply _let_690 _let_1150) _let_659) (tptp.multiply _let_690 _let_1151)))) (let ((_let_1154 (tptp.multiply tptp.sk_c2 _let_659))) (let ((_let_1155 (tptp.multiply _let_1154 tptp.sk_c4))) (let ((_let_1156 (= (tptp.multiply (tptp.multiply tptp.sk_c4 _let_1154) tptp.sk_c4) (tptp.multiply tptp.sk_c4 _let_1155)))) (let ((_let_1157 (tptp.multiply _let_76 tptp.sk_c5))) (let ((_let_1158 (= (tptp.multiply (tptp.multiply tptp.sk_c5 _let_76) tptp.sk_c5) (tptp.multiply tptp.sk_c5 _let_1157)))) (let ((_let_1159 (tptp.multiply _let_690 tptp.sk_c4))) (let ((_let_1160 (tptp.multiply _let_1159 tptp.sk_c2))) (let ((_let_1161 (= (tptp.multiply _let_1159 _let_652) (tptp.multiply _let_1160 tptp.sk_c5)))) (let ((_let_1162 (tptp.multiply _let_696 tptp.sk_c2))) (let ((_let_1163 (tptp.multiply tptp.sk_c2 _let_1162))) (let ((_let_1164 (tptp.multiply _let_660 tptp.sk_c2))) (let ((_let_1165 (= (tptp.multiply _let_1164 _let_1162) (tptp.multiply _let_660 _let_1163)))) (let ((_let_1166 (tptp.multiply _let_142 tptp.sk_c5))) (let ((_let_1167 (= (tptp.multiply (tptp.multiply _let_1166 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) tptp.sk_c5) (tptp.multiply _let_1166 _let_68)))) (let ((_let_1168 (= (tptp.multiply _let_716 tptp.sk_c4) (tptp.multiply _let_715 _let_182)))) (let ((_let_1169 (tptp.multiply _let_659 tptp.sk_c2))) (let ((_let_1170 (= (tptp.multiply _let_1151 tptp.sk_c2) (tptp.multiply _let_1150 _let_1169)))) (let ((_let_1171 (= (tptp.multiply _let_1151 tptp.sk_c4) (tptp.multiply _let_1150 _let_668)))) (let ((_let_1172 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c4))) (let ((_let_1173 (= _let_1172 (tptp.multiply tptp.identity _let_1172)))) (let ((_let_1174 (= (tptp.multiply (tptp.multiply _let_696 tptp.sk_c5) _let_659) (tptp.multiply _let_696 _let_718)))) (let ((_let_1175 (tptp.multiply _let_670 _let_690))) (let ((_let_1176 (= _let_1175 (tptp.multiply (tptp.multiply _let_670 _let_26) tptp.sk_c2)))) (let ((_let_1177 (= (tptp.multiply _let_690 _let_690) (tptp.multiply (tptp.multiply _let_690 _let_26) tptp.sk_c2)))) (let ((_let_1178 (= _let_1154 _let_1169))) (let ((_let_1179 (= _let_1151 (tptp.multiply _let_26 _let_718)))) (let ((_let_1180 (= _let_1155 (tptp.multiply tptp.sk_c2 _let_668)))) (let ((_let_1181 (= (tptp.multiply (tptp.multiply _let_15 tptp.sk_c5) _let_659) (tptp.multiply _let_15 _let_718)))) (let ((_let_1182 (tptp.multiply _let_659 _let_1162))) (let ((_let_1183 (= (tptp.multiply _let_718 _let_1162) (tptp.multiply tptp.sk_c5 _let_1182)))) (let ((_let_1184 (tptp.multiply _let_659 _let_650))) (let ((_let_1185 (= _let_1184 (tptp.multiply tptp.sk_c2 _let_651)))) (let ((_let_1186 (= (tptp.multiply _let_668 tptp.sk_c2) (tptp.multiply _let_659 _let_655)))) (let ((_let_1187 (= (tptp.multiply _let_718 tptp.sk_c2) (tptp.multiply tptp.sk_c5 _let_1169)))) (let ((_let_1188 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_85))) (let ((_let_1189 (= (tptp.multiply _let_1188 tptp.sk_c5) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiply _let_85 tptp.sk_c5))))) (let ((_let_1190 (= (tptp.multiply _let_1175 tptp.sk_c4) (tptp.multiply _let_670 _let_1159)))) (let ((_let_1191 (tptp.multiply tptp.sk_c1 _let_690))) (let ((_let_1192 (tptp.multiply _let_1191 tptp.sk_c4))) (let ((_let_1193 (= _let_1192 (tptp.multiply tptp.sk_c1 _let_1159)))) (let ((_let_1194 (tptp.multiply tptp.sk_c2 _let_696))) (let ((_let_1195 (= (tptp.multiply _let_1194 tptp.sk_c2) _let_1163))) (let ((_let_1196 (= _let_1160 _let_710))) (let ((_let_1197 (= _let_1159 (tptp.multiply _let_26 _let_4)))) (let ((_let_1198 (= (tptp.multiply _let_4 tptp.sk_c1) _let_1194))) (let ((_let_1199 (= _let_1164 _let_1184))) (let ((_let_1200 (= (tptp.multiply tptp.sk_c1 _let_85) _let_1148))) (let ((_let_1201 (= _let_1188 (tptp.multiply _let_1172 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_1202 (tptp.multiply _let_127 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_1203 (= (tptp.multiply _let_127 _let_68) (tptp.multiply _let_1202 tptp.sk_c5)))) (let ((_let_1204 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_127))) (let ((_let_1205 (tptp.multiply _let_92 _let_127))) (let ((_let_1206 (= _let_1205 (tptp.multiply tptp.sk_c5 _let_1204)))) (let ((_let_1207 (= (tptp.multiply _let_143 tptp.sk_c5) _let_1205))) (let ((_let_1208 (= _let_1166 _let_1204))) (let ((_let_1209 (= _let_1202 _let_143))) (let ((_let_1210 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_659 tptp.sk_c5 _let_690 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1147 false _let_38)))) (let ((_let_1211 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_182 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1149 false _let_38)))) (let ((_let_1212 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_670 _let_1150 _let_659 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1152 false _let_38)))) (let ((_let_1213 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_690 _let_1150 _let_659 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1153 false _let_38)))) (let ((_let_1214 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 _let_1154 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1156 false _let_38)))) (let ((_let_1215 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 _let_76 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1158 false _let_38)))) (let ((_let_1216 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_1159 tptp.sk_c2 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220))) _let_221 :args (_let_1161 false _let_38)))) (let ((_let_1217 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_660 tptp.sk_c2 _let_1162 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1165 false _let_38)))) (let ((_let_1218 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_1166 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1167 false _let_38)))) (let ((_let_1219 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_715 tptp.sk_c1 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1168 false _let_38)))) (let ((_let_1220 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_1150 _let_659 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1170 false _let_38)))) (let ((_let_1221 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_1150 _let_659 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1171 false _let_38)))) (let ((_let_1222 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (_let_1172 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_227)) :args _let_226)) _let_225 :args (_let_1173 false _let_224)))) (let ((_let_1223 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_696 tptp.sk_c5 _let_659 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1174 false _let_38)))) (let ((_let_1224 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_670 _let_26 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220))) _let_221 :args (_let_1176 false _let_38)))) (let ((_let_1225 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_690 _let_26 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220))) _let_221 :args (_let_1177 false _let_38)))) (let ((_let_1226 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c2 tptp.sk_c2 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220))) _let_221 :args (_let_1178 false _let_38)))) (let ((_let_1227 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_26 tptp.sk_c5 _let_659 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1179 false _let_38)))) (let ((_let_1228 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c2 _let_659 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1180 false _let_38)))) (let ((_let_1229 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_15 tptp.sk_c5 _let_659 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1181 false _let_38)))) (let ((_let_1230 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 _let_659 _let_1162 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1183 false _let_38)))) (let ((_let_1231 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c2 tptp.sk_c2 _let_650 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1185 false _let_38)))) (let ((_let_1232 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_659 tptp.sk_c4 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1186 false _let_38)))) (let ((_let_1233 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 _let_659 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1187 false _let_38)))) (let ((_let_1234 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_85 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1189 false _let_38)))) (let ((_let_1235 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_670 _let_690 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1190 false _let_38)))) (let ((_let_1236 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c1 _let_690 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1193 false _let_38)))) (let ((_let_1237 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c2 _let_696 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1195 false _let_38)))) (let ((_let_1238 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_690 tptp.sk_c4 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1196 false _let_38)))) (let ((_let_1239 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_26 tptp.sk_c2 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1197 false _let_38)))) (let ((_let_1240 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c2 tptp.sk_c4 tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1198 false _let_38)))) (let ((_let_1241 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_659 tptp.sk_c5 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1199 false _let_38)))) (let ((_let_1242 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c1 tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220))) _let_221 :args (_let_1200 false _let_38)))) (let ((_let_1243 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220))) _let_221 :args (_let_1201 false _let_38)))) (let ((_let_1244 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_127 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1206 false _let_38)))) (let ((_let_1245 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_92 _let_92 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1207 false _let_38)))) (let ((_let_1246 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_92 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1208 false _let_38)))) (let ((_let_1247 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((_let_1453 (SYMM _let_1452))) (let ((_let_1454 (SYMM _let_1435))) (let ((_let_1455 (SYMM _let_1431))) (let ((_let_1456 (CONG _let_271 _let_1349 :args _let_268))) (let ((_let_1457 (CONG _let_860 _let_271 :args _let_268))) (let ((_let_1458 (ASSUME :args (_let_1181)))) (let ((_let_1459 (SYMM _let_1458))) (let ((_let_1460 (CONG _let_861 _let_890 :args _let_268))) (let ((_let_1461 (CONG (TRANS (TRANS _let_304 _let_982 _let_1460 _let_1459 (CONG (TRANS (TRANS _let_1457 _let_1455 _let_1433 _let_1454) (TRANS _let_1435 _let_1434 _let_1431 (SYMM _let_1456)) (TRANS _let_1456 _let_1455 _let_1433 _let_1454 (SYMM _let_1437) _let_1439 (SYMM _let_1441) (SYMM _let_1442) (SYMM _let_1443))) _let_879 :args _let_268) _let_1453 (CONG _let_1358 _let_1326 :args _let_268) (CONG _let_1357 _let_1113 :args _let_268)) _let_1449) _let_317 :args _let_268))) (let ((_let_1462 (ASSUME :args (_let_1167)))) (let ((_let_1463 (SYMM (SYMM _let_1462)))) (let ((_let_1464 (CONG (REFL :args (_let_1166)) _let_398 :args _let_268))) (let ((_let_1465 (CONG _let_398 _let_1405 :args _let_268))) (let ((_let_1466 (CONG _let_397 _let_1347 :args _let_268))) (let ((_let_1467 (ASSUME :args (_let_1173)))) (let ((_let_1468 (SYMM _let_1467))) (let ((_let_1469 (CONG _let_480 _let_1468 :args _let_268))) (let ((_let_1470 (TRANS _let_1467 (SYMM _let_1469)))) (let ((_let_1471 (ASSUME :args (_let_1201)))) (let ((_let_1472 (SYMM (SYMM _let_1471)))) (let ((_let_1473 (ASSUME :args (_let_1189)))) (let ((_let_1474 (SYMM _let_1473))) (let ((_let_1475 (SYMM _let_1465))) (let ((_let_1476 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1191))) (let ((_let_1477 (tptp.multiply _let_1476 tptp.sk_c4))) (let ((_let_1478 (tptp.multiply tptp.identity _let_1476))) (let ((_let_1479 (= (tptp.multiply _let_1478 tptp.sk_c4) (tptp.multiply tptp.identity _let_1477)))) (let ((_let_1480 (tptp.multiply _let_660 tptp.identity))) (let ((_let_1481 (tptp.multiply _let_1480 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_1482 (= (tptp.multiply (tptp.multiply tptp.sk_c5 _let_1480) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiply tptp.sk_c5 _let_1481)))) (let ((_let_1483 (= (tptp.multiply (tptp.multiply tptp.sk_c1 _let_1150) _let_659) (tptp.multiply tptp.sk_c1 _let_1151)))) (let ((_let_1484 (= (tptp.multiply (tptp.multiply tptp.sk_c1 _let_76) tptp.sk_c5) (tptp.multiply tptp.sk_c1 _let_1157)))) (let ((_let_1485 (= (tptp.multiply _let_1164 _let_655) (tptp.multiply _let_660 _let_664)))) (let ((_let_1486 (= (tptp.multiply _let_161 _let_1191) _let_1478))) (let ((_let_1487 (tptp.multiply tptp.sk_c2 _let_172))) (let ((_let_1488 (= (tptp.multiply _let_1487 tptp.sk_c4) (tptp.multiply tptp.sk_c2 (tptp.multiply _let_172 tptp.sk_c4))))) (let ((_let_1489 (= (tptp.multiply _let_716 _let_690) (tptp.multiply _let_715 _let_1191)))) (let ((_let_1490 (= _let_1481 (tptp.multiply _let_660 _let_161)))) (let ((_let_1491 (= (tptp.multiply _let_68 _let_659) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_718)))) (let ((_let_1492 (= (tptp.multiply _let_728 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiply tptp.sk_c4 _let_161)))) (let ((_let_1493 (= _let_1477 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1192)))) (let ((_let_1494 (= (tptp.multiply _let_718 _let_172) (tptp.multiply tptp.sk_c5 (tptp.multiply _let_659 _let_172))))) (let ((_let_1495 (= _let_1162 (tptp.multiply tptp.sk_c4 _let_168)))) (let ((_let_1496 (tptp.multiply _let_659 _let_92))) (let ((_let_1497 (= (tptp.multiply _let_718 _let_92) (tptp.multiply tptp.sk_c5 _let_1496)))) (let ((_let_1498 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c2))) (let ((_let_1499 (= (tptp.multiply _let_161 tptp.sk_c2) (tptp.multiply tptp.identity _let_1498)))) (let ((_let_1500 (= (tptp.multiply _let_85 tptp.sk_c2) (tptp.multiply tptp.sk_c4 _let_1498)))) (let ((_let_1501 (= (tptp.multiply _let_718 tptp.identity) (tptp.multiply tptp.sk_c5 (tptp.multiply _let_659 tptp.identity))))) (let ((_let_1502 (= (tptp.multiply (tptp.multiply tptp.sk_c5 _let_172) tptp.sk_c5) (tptp.multiply tptp.sk_c5 _let_173)))) (let ((_let_1503 (= (tptp.multiply _let_1487 tptp.sk_c5) (tptp.multiply tptp.sk_c2 _let_173)))) (let ((_let_1504 (= (tptp.multiply _let_660 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_1496))) (let ((_let_1505 (= (tptp.multiply _let_652 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiply tptp.sk_c2 _let_92)))) (let ((_let_1506 (and _let_44 _let_49 _let_47 _let_64 _let_62 _let_72 _let_69 _let_621 _let_77 _let_78 _let_570 _let_1209 _let_130 _let_1208 _let_1207 _let_134 _let_1206 _let_144 _let_644 _let_158 _let_1201 _let_1200 _let_162 _let_649 _let_1505 _let_654 _let_661 _let_166 _let_663 _let_1504 _let_1199 _let_665 _let_1198 _let_667 _let_669 _let_169 _let_1197 _let_1196 _let_1195 _let_1193 _let_683 _let_1190 _let_691 _let_170 _let_171 _let_174 _let_1503 _let_1502 _let_247 _let_1189 _let_1501 _let_701 _let_1187 _let_1500 _let_1499 _let_1186 _let_1497 _let_706 _let_1185 _let_1495 _let_1183 _let_1494 _let_1493 _let_1181 _let_1492 _let_1180 _let_717 _let_1491 _let_719 _let_722 _let_1179 _let_725 _let_1178 _let_1490 _let_1177 _let_1176 _let_735 _let_1174 _let_1173 _let_1171 _let_1170 _let_1489 _let_1168 _let_1488 _let_1167 _let_1486 _let_1165 _let_1485 _let_1161 _let_1484 _let_1158 _let_1156 _let_1153 _let_1152 _let_1483 _let_1149 _let_1147 _let_1482 _let_1479))) (let ((_let_1507 (= tptp.sk_c6 _let_15))) (let ((_let_1508 (= tptp.sk_c6 _let_12))) (let ((_let_1509 (TRANS _let_275 _let_604))) (let ((_let_1510 (CONG _let_1345 _let_1509 :args _let_268))) (let ((_let_1511 (TRANS _let_425 (CONG _let_271 _let_429 :args _let_268) _let_595))) (let ((_let_1512 (CONG _let_497 _let_1511 :args _let_268))) (let ((_let_1513 (TRANS _let_1512 _let_512 _let_1510 _let_1344 _let_493 _let_492 _let_491 _let_276))) (let ((_let_1514 (CONG (TRANS (CONG _let_448 _let_1513 :args _let_268) _let_430 _let_457) _let_448 :args _let_268))) (let ((_let_1515 (CONG _let_448 _let_1426 :args _let_268))) (let ((_let_1516 (SYMM _let_1513))) (let ((_let_1517 (CONG _let_398 (TRANS (CONG _let_1516 _let_397 :args _let_268) (CONG _let_1423 _let_398 :args _let_268) _let_1425) :args _let_268))) (let ((_let_1518 (CONG _let_397 _let_443 :args _let_268))) (let ((_let_1519 (CONG (TRANS _let_1518 _let_1517 _let_1515 _let_1428 _let_1514 _let_1343 _let_494 _let_471) _let_491 :args _let_268))) (let ((_let_1520 (CONG _let_544 _let_1509 :args _let_268))) (let ((_let_1521 (CONG (TRANS _let_1520 _let_1519 _let_493 _let_492 _let_491 _let_276) _let_430 :args _let_268))) (let ((_let_1522 (CONG _let_397 _let_1511 :args _let_268))) (let ((_let_1523 (CONG (TRANS _let_1472 (CONG (TRANS _let_1470 (TRANS _let_1469 _let_1468 _let_1522 _let_1465 _let_1420)) _let_397 :args _let_268) _let_1464) _let_271 :args _let_268))) (let ((_let_1524 (CONG (SYMM _let_1511) _let_448 :args _let_268))) (let ((_let_1525 (CONG _let_1099 _let_1516 :args _let_268))) (let ((_let_1526 (CONG _let_1330 _let_1134 :args _let_268))) (let ((_let_1527 (SYMM _let_1509))) (let ((_let_1528 (CONG _let_1335 _let_1527 :args _let_268))) (let ((_let_1529 (CONG _let_1338 _let_1509 :args _let_268))) (let ((_let_1530 (TRANS _let_1529 _let_1528 _let_1333 _let_1526 _let_1329 _let_1327 _let_1325 _let_1322 _let_1525 _let_1073 _let_1133 _let_278))) (let ((_let_1531 (TRANS _let_1342 _let_1324 _let_1341 _let_1328 (SYMM _let_1526) _let_1332 (SYMM _let_1528) (SYMM _let_1529)))) (let ((_let_1532 (TRANS _let_1416 _let_1414 (CONG _let_497 _let_1531 :args _let_268) (CONG _let_497 _let_1530 :args _let_268) _let_1512 _let_512 _let_1510 _let_1344 _let_493 _let_492 _let_491 _let_276))) (let ((_let_1533 (SYMM _let_1520))) (let ((_let_1534 (SYMM _let_1519))) (let ((_let_1535 (SYMM _let_1532))) (let ((_let_1536 (CONG _let_271 _let_1527 :args _let_268))) (let ((_let_1537 (CONG _let_1436 _let_1513 :args _let_268))) (let ((_let_1538 (TRANS (CONG _let_271 _let_1356 :args _let_268) _let_1120))) (let ((_let_1539 (CONG _let_1538 _let_317 :args _let_268))) (let ((_let_1540 (CONG _let_910 _let_1530 :args _let_268))) (let ((_let_1541 (CONG _let_910 _let_1531 :args _let_268))) (let ((_let_1542 (SYMM _let_1538))) (let ((_let_1543 (CONG _let_1538 _let_1326 :args _let_268))) (let ((_let_1544 (SYMM _let_1536))) (let ((_let_1545 (CONG _let_271 _let_1513 :args _let_268))) (let ((_let_1546 (CONG (TRANS (TRANS _let_1457 _let_1544 _let_1433 _let_1454) (TRANS _let_1435 _let_1434 _let_1536 (SYMM _let_1545)) (TRANS _let_1545 _let_1544 _let_1433 _let_1454 (SYMM _let_1537) _let_1439 (SYMM _let_1539) (SYMM _let_1540) (SYMM _let_1541))) _let_879 :args _let_268))) (let ((_let_1547 (CONG _let_860 _let_858 :args _let_268))) (let ((_let_1548 (CONG _let_448 (TRANS _let_277 (CONG (TRANS (TRANS _let_304 _let_1547 _let_1460 _let_1459 _let_1546 _let_1453 _let_1543 (CONG _let_1542 _let_1113 :args _let_268)) _let_1449) _let_317 :args _let_268) _let_1450 _let_1448 (CONG _let_1538 _let_1445 :args _let_268) (CONG _let_1542 _let_1330 :args _let_268) _let_1541 _let_1540 _let_1539 _let_1440 _let_1537 _let_1435 _let_1434 _let_1536 (CONG _let_1535 (TRANS _let_275 _let_604 _let_603 _let_602 _let_1534 _let_1533 _let_1419) :args _let_268) (CONG _let_1532 _let_1413 :args _let_268) _let_1412 _let_1410 _let_1408 (CONG _let_1524 _let_271 :args _let_268)) :args _let_268))) (let ((_let_1549 (SYMM _let_1522))) (let ((_let_1550 (SYMM _let_1547))) (let ((_let_1551 (TRANS _let_1550 _let_305))) (let ((_let_1552 (CONG _let_858 _let_1551 :args _let_268))) (let ((_let_1553 (CONG (TRANS _let_1300 (TRANS _let_1299 _let_1298 _let_1093 (CONG (TRANS _let_1089 _let_1552) _let_317 :args _let_268) _let_1297 _let_1296 _let_496)) _let_1295 :args _let_268))) (let ((_let_1554 (SYMM _let_1134))) (let ((_let_1555 (CONG _let_1554 _let_858 :args _let_268))) (let ((_let_1556 (CONG _let_890 (TRANS _let_1088 _let_1302 _let_1091 _let_1553 _let_1294 _let_878 _let_876 _let_875) :args _let_268))) (let ((_let_1557 (TRANS _let_1318 _let_1316 _let_1556 _let_1291))) (let ((_let_1558 (CONG _let_1320 _let_1557 :args _let_268))) (let ((_let_1559 (TRANS (SYMM _let_1530) (SYMM _let_1531)))) (let ((_let_1560 (CONG _let_1559 _let_1321 :args _let_268))) (let ((_let_1561 (SYMM _let_1557))) (let ((_let_1562 (TRANS (CONG _let_1538 _let_495 :args _let_268) (CONG _let_1542 _let_1355 :args _let_268) _let_909 _let_1354 _let_426))) (let ((_let_1563 (CONG _let_1562 _let_1561 :args _let_268))) (let ((_let_1564 (CONG _let_1542 _let_858 :args _let_268))) (let ((_let_1565 (CONG (TRANS _let_1363 _let_1538) _let_858 :args _let_268))) (let ((_let_1566 (CONG _let_975 (TRANS _let_1366 _let_1565 _let_1564 _let_915 _let_914 _let_1563 _let_1560 _let_1558 _let_1313 _let_1310) :args _let_268))) (let ((_let_1567 (CONG (TRANS _let_1527 _let_495) (TRANS _let_1372 (CONG _let_1561 _let_1371 :args _let_268) _let_1369 _let_1566 _let_1309 _let_1306 _let_1304 _let_1555 _let_1302 _let_1091 _let_1553 _let_1294 _let_878 _let_876 _let_875) :args _let_268))) (let ((_let_1568 (CONG _let_1509 _let_1373 :args _let_268))) (let ((_let_1569 (SYMM _let_1565))) (let ((_let_1570 (SYMM _let_1564))) (let ((_let_1571 (SYMM _let_1563))) (let ((_let_1572 (CONG (TRANS (CONG _let_1113 _let_1531 :args _let_268) (CONG _let_1113 _let_1530 :args _let_268) _let_1325 _let_1322 _let_1525 _let_1073 _let_1133 _let_278) _let_1561 :args _let_268))) (let ((_let_1573 (CONG (TRANS _let_1387 (TRANS _let_1388 _let_1386 _let_1384 _let_1572 _let_1571 _let_913 _let_935 _let_1570 _let_1569 _let_1365 _let_1377 _let_1376 _let_1568 _let_1567 _let_863 _let_1550 _let_305)) _let_275 :args _let_268))) (let ((_let_1574 (CONG (TRANS (TRANS (CONG (SYMM _let_1562) _let_879 :args _let_268) _let_913 _let_935 _let_1570 _let_1569 _let_1365) (TRANS _let_1366 _let_1565 _let_1564 _let_915 _let_914 _let_1563 (SYMM _let_1572) _let_1383 _let_1390)) _let_271 :args _let_268))) (let ((_let_1575 (CONG _let_317 (TRANS _let_1394 (CONG _let_890 _let_1554 :args _let_268) _let_1392 _let_1056) :args _let_268))) (let ((_let_1576 (CONG (TRANS _let_891 _let_889 _let_1116 _let_1115 _let_1402 _let_1401 (CONG (SYMM _let_1559) _let_1399 :args _let_268)) _let_317 :args _let_268))) (let ((_let_1577 (ASSUME :args (_let_1484)))) (let ((_let_1578 (CONG _let_1356 _let_1326 :args _let_268))) (let ((_let_1579 (ASSUME :args (_let_1483)))) (let ((_let_1580 (SYMM (SYMM _let_1579)))) (let ((_let_1581 (CONG _let_879 (SYMM _let_1551) :args _let_268))) (let ((_let_1582 (CONG (TRANS _let_1535 (TRANS _let_1416 _let_1414)) (TRANS _let_1581 _let_1316 _let_1556 _let_1291) :args _let_268))) (let ((_let_1583 (ASSUME :args (_let_1501)))) (let ((_let_1584 (SYMM (SYMM _let_1583)))) (let ((_let_1585 (SYMM _let_1302))) (let ((_let_1586 (SYMM _let_1553))) (let ((_let_1587 (SYMM _let_1294))) (let ((_let_1588 (SYMM _let_876))) (let ((_let_1589 (TRANS _let_874 _let_1588 _let_877 _let_1587 _let_1586 _let_1090 _let_1585 _let_1089 _let_1552))) (let ((_let_1590 (CONG _let_448 _let_1532 :args _let_268))) (let ((_let_1591 (ASSUME :args (_let_1493)))) (let ((_let_1592 (SYMM _let_1591))) (let ((_let_1593 (ASSUME :args (_let_1486)))) (let ((_let_1594 (ASSUME :args (_let_1479)))) (let ((_let_1595 (ASSUME :args (_let_1488)))) (let ((_let_1596 (ASSUME :args (_let_1494)))) (let ((_let_1597 (TRANS (SYMM _let_1596) (CONG _let_881 _let_306 :args _let_268)))) (let ((_let_1598 (ASSUME :args (_let_1503)))) (let ((_let_1599 (ASSUME :args (_let_1489)))) (let ((_let_1600 (ASSUME :args (_let_1502)))) (let ((_let_1601 (SYMM _let_1600))) (let ((_let_1602 (ASSUME :args (_let_1492)))) (let ((_let_1603 (TRANS (SYMM (SYMM _let_1602)) (CONG _let_317 _let_398 :args _let_268)))) (let ((_let_1604 (ASSUME :args (_let_1500)))) (let ((_let_1605 (CONG _let_398 _let_858 :args _let_268))) (let ((_let_1606 (ASSUME :args (_let_1499)))) (let ((_let_1607 (ASSUME :args (_let_1491)))) (let ((_let_1608 (ASSUME :args (_let_1485)))) (let ((_let_1609 (ASSUME :args (_let_1482)))) (let ((_let_1610 (ASSUME :args (_let_1490)))) (let ((_let_1611 (ASSUME :args (_let_1504)))) (let ((_let_1612 (ASSUME :args (_let_1497)))) (let ((_let_1613 (ASSUME :args (_let_1505)))) (let ((_let_1614 (CONG (TRANS (TRANS (SYMM (SYMM _let_1613)) (CONG _let_890 _let_443 :args _let_268) (SYMM (SYMM _let_1612))) (TRANS (CONG _let_271 (TRANS (SYMM _let_1611) (CONG _let_975 _let_397 :args _let_268) (SYMM _let_1610)) :args _let_268) (SYMM _let_1609) (CONG (TRANS (CONG _let_495 (TRANS (CONG _let_975 (TRANS _let_304 _let_1547 _let_981 _let_980) :args _let_268) (SYMM _let_1608) (CONG _let_1557 (SYMM _let_1305) :args _let_268) _let_1306 _let_1304 _let_1555 _let_1302 _let_1091 _let_1553 _let_1294 _let_878 _let_876 _let_875) :args _let_268) _let_863 _let_1550 _let_305) _let_448 :args _let_268) _let_398)) _let_271 :args _let_268))) (let ((_let_1615 (ASSUME :args (_let_1495)))) (let ((_let_1616 (TRANS (SYMM (SYMM _let_1615)) (CONG _let_317 (TRANS _let_891 _let_889 (CONG _let_507 _let_1561 :args _let_268) (CONG (TRANS (SYMM _let_507) (TRANS _let_458 _let_429 (SYMM _let_1614)) _let_1614) _let_1321 :args _let_268) (CONG (REFL :args (_let_68)) _let_1557 :args _let_268) (SYMM (SYMM _let_1607)) (CONG _let_448 _let_881 :args _let_268) (SYMM _let_1605) _let_1606) :args _let_268) (CONG _let_317 (TRANS (SYMM _let_1606) _let_1605) :args _let_268) (SYMM _let_1604) (CONG (SYMM _let_1603) _let_858 :args _let_268) (CONG (TRANS _let_1603 (TRANS (SYMM _let_1524) _let_1407 _let_546 (CONG _let_271 (TRANS _let_1518 _let_1517 _let_1515 _let_1428 _let_1514 _let_1343 _let_494 _let_471 _let_297) :args _let_268) _let_1601) (TRANS (SYMM _let_1601) (SYMM _let_1118))) (TRANS _let_874 _let_1588 _let_877 _let_1587 _let_1586 _let_1090 _let_1585 _let_1089 _let_1552 _let_1084 _let_1584 _let_1582 _let_1580 _let_1578 (CONG _let_460 _let_1113 :args _let_268)) :args _let_268) (SYMM _let_1599) (SYMM _let_1543) _let_1452 (SYMM _let_1546) _let_1458 (SYMM _let_1460) _let_1550 _let_305))) (let ((_let_1617 (CONG _let_881 _let_1616 :args _let_268))) (let ((_let_1618 (CONG _let_1561 (SYMM _let_1616) :args _let_268))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_579 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1506)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO (MODUS_PONENS (AND_INTRO _let_425 _let_275 _let_304 _let_302 _let_470 _let_397 _let_466 _let_457 _let_429 _let_508 _let_511 _let_594 _let_1427 _let_1424 _let_1462 _let_1419 _let_1467 _let_1471 _let_1473 _let_1407 _let_1409 _let_1411 _let_277 _let_1075 _let_1072 _let_495 _let_1323 _let_874 _let_877 _let_859 _let_1311 _let_1328 _let_1021 _let_1332 _let_1334 _let_1415 _let_1432 _let_297 _let_1438 _let_1119 _let_459 _let_1447 _let_1449 _let_1451 _let_1458 _let_1292 _let_1094 _let_1087 _let_1092 _let_1090 _let_1303 _let_504 _let_940 _let_1307 _let_1314 _let_1317 _let_907 _let_913 _let_1362 _let_1365 _let_1367 _let_1370 _let_1374 _let_1383 _let_1387 _let_1052 _let_1055 _let_1393 _let_1396 _let_1398 _let_1400 _let_1114 _let_888 _let_499 _let_1577 _let_1579 _let_1583 _let_1591 _let_1593 _let_1594 _let_300 _let_1595 _let_1596 _let_1598 _let_1599 _let_1600 _let_545 _let_1602 _let_1604 _let_1606 _let_1607 _let_1608 _let_978 _let_1609 _let_1610 _let_1611 _let_1612 _let_1613 _let_1615) (SCOPE (TRANS _let_457 _let_503 _let_500 _let_1576 _let_1397 _let_1575 _let_1053 _let_1574 _let_1573 _let_493 _let_492 _let_491 _let_276 _let_861 (CONG _let_1589 :args _let_606) (CONG (TRANS (SYMM _let_1552) _let_1088 (SYMM _let_1555) _let_1303 (SYMM _let_1306) _let_1308 (SYMM _let_1566) _let_1368 (SYMM _let_1618) _let_1581 _let_1316 _let_1556 _let_1291) :args _let_606) (CONG (TRANS (SYMM _let_1291) (SYMM _let_1556) _let_1315 (SYMM _let_1581) _let_1618 _let_1369 _let_1566 _let_1309 _let_1306 _let_1304 _let_1555 _let_1089 _let_1552 (SYMM _let_1617) _let_1376 _let_1568 _let_1567 _let_863 _let_1550 _let_305) :args _let_606) (CONG (TRANS _let_304 _let_1547 _let_981 (SYMM _let_1567) (SYMM _let_1568) _let_1375 _let_1617 (CONG _let_858 _let_297 :args _let_268) (SYMM _let_1598) (CONG (SYMM _let_1597) _let_271 :args _let_268) (CONG _let_1597 (TRANS _let_275 _let_604 _let_603 _let_602 _let_1534 _let_1533 _let_1419 _let_1475 _let_1549 _let_1548 _let_1474 _let_1523 _let_1463 _let_1521 _let_426) :args _let_268) (SYMM (SYMM _let_1595)) (CONG _let_858 (TRANS (CONG _let_306 _let_425 :args _let_268) _let_301 (CONG _let_298 (TRANS _let_429 (SYMM _let_1590) _let_1592) :args _let_268) (SYMM _let_1594) (CONG (TRANS (SYMM _let_1593) (CONG _let_398 (REFL :args (_let_1191)) :args _let_268)) _let_317 :args _let_268) (SYMM _let_1592) _let_1590 _let_430 _let_504) :args _let_268) (CONG (TRANS _let_1589 (TRANS _let_1084 _let_1584 _let_1582 _let_1580 _let_1578 (CONG _let_460 (TRANS (SYMM _let_1310) _let_1312 (SYMM _let_1558) (SYMM _let_1560) _let_1571 _let_913 _let_935 _let_1570 _let_1569 _let_1365 _let_1377 _let_1376 _let_1568 _let_1567 _let_863 _let_1550 _let_305) :args _let_268) (CONG _let_497 _let_304 :args _let_268))) (TRANS _let_505 _let_457 _let_503 _let_500 _let_1576 _let_1397 _let_1575 _let_1053 _let_1574 _let_1573 _let_493 _let_492 _let_491 _let_276) :args _let_268) (SYMM (SYMM _let_1577)) (CONG _let_497 _let_1527 :args _let_268) _let_503 _let_500 _let_1576 _let_1397 _let_1575 _let_1053 _let_1574 _let_1573 _let_1534 _let_1533 _let_1419 _let_1475 _let_1549 _let_1548 _let_1474 _let_1523 _let_1463 _let_1521 _let_426) :args _let_606)) :args (_let_44 _let_171 _let_77 _let_170 _let_78 _let_162 _let_72 _let_47 _let_69 _let_158 _let_130 _let_570 _let_1149 _let_1200 _let_1167 _let_1208 _let_1173 _let_1201 _let_1189 _let_1209 _let_1207 _let_1206 _let_134 _let_621 _let_649 _let_62 _let_1197 _let_663 _let_683 _let_64 _let_1179 _let_1171 _let_669 _let_1161 _let_1196 _let_1193 _let_1158 _let_174 _let_1168 _let_717 _let_166 _let_1190 _let_1176 _let_1152 _let_1181 _let_1187 _let_644 _let_654 _let_701 _let_722 _let_1186 _let_49 _let_735 _let_1147 _let_1185 _let_1199 _let_706 _let_725 _let_1198 _let_1195 _let_1165 _let_1174 _let_1183 _let_1153 _let_1177 _let_667 _let_661 _let_1180 _let_1156 _let_1178 _let_1170 _let_691 _let_719 _let_169 _let_1484 _let_1483 _let_1501 _let_1493 _let_1486 _let_1479 _let_247 _let_1488 _let_1494 _let_1503 _let_1489 _let_1502 _let_144 _let_1492 _let_1500 _let_1499 _let_1491 _let_1485 _let_665 _let_1482 _let_1490 _let_1504 _let_1497 _let_1505 _let_1495))) (MODUS_PONENS (AND_INTRO _let_859 _let_275 _let_304 _let_302 _let_495 _let_874 _let_877 _let_1292 _let_277 _let_1094 _let_1087 _let_1092 _let_1090 _let_1021 _let_1303 _let_425 _let_504 _let_940 _let_1307 _let_1311 _let_1314 _let_1317 _let_1323 _let_1328 _let_1332 _let_1334 _let_470 _let_397 _let_466 _let_457 _let_508 _let_511 _let_594 _let_429 _let_1072 _let_1075 _let_907 _let_459 _let_1119 _let_913 _let_1362 _let_1365 _let_1367 _let_1370 _let_1374 _let_1383 _let_1387 _let_1052 _let_1055 _let_1393 _let_1396 _let_1398 _let_1400 _let_1114 _let_888 _let_499) (SCOPE (TRANS _let_457 _let_503 _let_500 _let_1403 _let_1397 _let_1395 _let_1053 _let_1391 _let_1389 _let_493 _let_492 _let_491 _let_276 _let_861) :args (_let_64 _let_171 _let_77 _let_170 _let_62 _let_663 _let_683 _let_1187 _let_134 _let_644 _let_654 _let_701 _let_722 _let_669 _let_1186 _let_44 _let_49 _let_735 _let_1147 _let_1179 _let_1185 _let_1199 _let_1197 _let_1171 _let_1161 _let_1196 _let_78 _let_162 _let_72 _let_47 _let_158 _let_130 _let_570 _let_69 _let_649 _let_621 _let_706 _let_166 _let_717 _let_725 _let_1198 _let_1195 _let_1165 _let_1174 _let_1183 _let_1153 _let_1177 _let_667 _let_661 _let_1180 _let_1156 _let_1178 _let_1170 _let_691 _let_719 _let_169))) _let_859) (SCOPE (TRANS _let_861 (SYMM (ASSUME :args (_let_1507))) (SYMM (SYMM (ASSUME :args (_let_1508))))) :args (_let_1508 _let_1507 _let_64))) :args (_let_44 _let_49 _let_47 _let_64 _let_62 _let_72 _let_69 _let_621 _let_77 _let_78 _let_570 _let_1209 _let_130 _let_1208 _let_1207 _let_134 _let_1206 _let_144 _let_644 _let_158 _let_1201 _let_1200 _let_162 _let_649 _let_1505 _let_654 _let_661 _let_166 _let_663 _let_1504 _let_1199 _let_665 _let_1198 _let_667 _let_669 _let_169 _let_1197 _let_1196 _let_1195 _let_1193 _let_683 _let_1190 _let_691 _let_170 _let_171 _let_174 _let_1503 _let_1502 _let_247 _let_1189 _let_1501 _let_701 _let_1187 _let_1500 _let_1499 _let_1186 _let_1497 _let_706 _let_1185 _let_1495 _let_1183 _let_1494 _let_1493 _let_1181 _let_1492 _let_1180 _let_717 _let_1491 _let_719 _let_722 _let_1179 _let_725 _let_1178 _let_1490 _let_1177 _let_1176 _let_735 _let_1174 _let_1173 _let_1171 _let_1170 _let_1489 _let_1168 _let_1488 _let_1167 _let_1486 _let_1165 _let_1485 _let_1161 _let_1484 _let_1158 _let_1156 _let_1153 _let_1152 _let_1483 _let_1149 _let_1147 _let_1482 _let_1479))) :args (true _let_1506)) :args ((or _let_46 _let_376 _let_50 _let_48 _let_65 _let_63 _let_73 _let_70 _let_828 _let_261 _let_375 _let_585 _let_1288 _let_354 _let_1287 _let_1286 _let_259 _let_1285 _let_347 _let_816 _let_337 _let_1284 _let_1283 _let_334 _let_812 (not _let_1505) _let_811 _let_808 _let_332 _let_807 (not _let_1504) _let_1282 _let_806 _let_1281 _let_805 _let_804 _let_331 _let_1280 _let_1279 _let_1278 _let_1277 _let_799 _let_1276 _let_796 _let_257 _let_256 _let_255 (not _let_1503) (not _let_1502) _let_253 _let_1275 (not _let_1501) _let_789 _let_1274 (not _let_1500) (not _let_1499) _let_1273 (not _let_1497) _let_784 _let_1272 (not _let_1495) _let_1271 (not _let_1494) (not _let_1493) _let_1270 (not _let_1492) _let_1269 _let_776 (not _let_1491) _let_775 _let_772 _let_1268 _let_769 _let_1267 (not _let_1490) _let_1266 _let_1265 _let_762 _let_1264 _let_1263 _let_1262 _let_1261 (not _let_1489) _let_1260 (not _let_1488) _let_1259 (not _let_1486) _let_1258 (not _let_1485) _let_1257 (not _let_1484) _let_1256 _let_1255 _let_1254 _let_1253 (not _let_1483) _let_1252 _let_1251 (not _let_1482) (not _let_1479)))) _let_318 _let_1143 _let_1142 _let_1146 _let_1145 _let_1250 _let_1249 _let_741 _let_217 _let_218 _let_580 _let_1247 _let_228 _let_1246 _let_1245 _let_229 _let_1244 _let_230 _let_742 _let_231 _let_1243 _let_1242 _let_232 _let_743 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c2 tptp.sk_c5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1505 false _let_38)) _let_744 _let_745 _let_233 _let_746 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_659 tptp.sk_c5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1504 false _let_38)) _let_1241 _let_747 _let_1240 _let_748 _let_749 _let_234 _let_1239 _let_1238 _let_1237 _let_1236 _let_750 _let_1235 _let_751 _let_236 _let_238 _let_239 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c2 _let_172 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1503 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 _let_172 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1502 false _let_38)) _let_252 _let_1234 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 _let_659 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1501 false _let_38)) _let_752 _let_1233 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1500 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1499 false _let_38)) _let_1232 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 _let_659 _let_92 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1497 false _let_38)) _let_753 _let_1231 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 tptp.sk_c1 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1495 false _let_38)) _let_1230 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 _let_659 _let_172 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1494 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1191 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1493 false _let_38)) _let_1229 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1492 false _let_38)) _let_1228 _let_754 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c5 _let_659 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1491 false _let_38)) _let_755 _let_756 _let_1227 _let_757 _let_1226 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_660 tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1490 false _let_38)) _let_1225 _let_1224 _let_758 _let_1223 _let_1222 _let_1221 _let_1220 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_715 tptp.sk_c1 _let_690 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1489 false _let_38)) _let_1219 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c2 _let_172 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1488 false _let_38)) _let_1218 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1191 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1486 false _let_38)) _let_1217 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_660 tptp.sk_c2 _let_655 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220)) _let_221 :args (_let_1485 false _let_38)) _let_1216 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c1 _let_76 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1484 false _let_38)) _let_1215 _let_1214 _let_1213 _let_1212 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c1 _let_1150 _let_659 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1483 false _let_38)) _let_1211 _let_1210 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 _let_1480 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1482 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.identity _let_1476 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_1479 false _let_38)) :args (_let_46 false _let_44 false _let_49 false _let_47 false _let_64 false _let_62 false _let_72 false _let_69 false _let_621 false _let_77 false _let_78 false _let_570 false _let_1209 false _let_130 false _let_1208 false _let_1207 false _let_134 false _let_1206 false _let_144 false _let_644 false _let_158 false _let_1201 false _let_1200 false _let_162 false _let_649 false _let_1505 false _let_654 false _let_661 false _let_166 false _let_663 false _let_1504 false _let_1199 false _let_665 false _let_1198 false _let_667 false _let_669 false _let_169 false _let_1197 false _let_1196 false _let_1195 false _let_1193 false _let_683 false _let_1190 false _let_691 false _let_170 false _let_171 false _let_174 false _let_1503 false _let_1502 false _let_247 false _let_1189 false _let_1501 false _let_701 false _let_1187 false _let_1500 false _let_1499 false _let_1186 false _let_1497 false _let_706 false _let_1185 false _let_1495 false _let_1183 false _let_1494 false _let_1493 false _let_1181 false _let_1492 false _let_1180 false _let_717 false _let_1491 false _let_719 false _let_722 false _let_1179 false _let_725 false _let_1178 false _let_1490 false _let_1177 false _let_1176 false _let_735 false _let_1174 false _let_1173 false _let_1171 false _let_1170 false _let_1489 false _let_1168 false _let_1488 false _let_1167 false _let_1486 false _let_1165 false _let_1485 false _let_1161 false _let_1484 false _let_1158 false _let_1156 false _let_1153 false _let_1152 false _let_1483 false _let_1149 false _let_1147 false _let_1482 false _let_1479)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_1289)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_277 _let_275 _let_304 _let_302 _let_859 _let_495 _let_874 _let_877 _let_1292 _let_1094 _let_1087 _let_1092 _let_1090 _let_1021 _let_1303 _let_425 _let_504 _let_940 _let_1307 _let_1311 _let_1314 _let_1317 _let_1323 _let_1328 _let_1332 _let_1334 _let_470 _let_397 _let_466 _let_457 _let_508 _let_511 _let_594 _let_429 _let_1072 _let_1075 _let_907 _let_459 _let_1119 _let_913 _let_1362 _let_1365 _let_1367 _let_1370 _let_1374 _let_1383 _let_1387 _let_1052 _let_1055 _let_1393 _let_1396 _let_1398 _let_1400 _let_1114 _let_888 _let_499 _let_1406 _let_1407 _let_1409 _let_1411 _let_1415 _let_1419 _let_1424 _let_1427 _let_1432 _let_297 _let_1438 _let_1447 _let_1449 _let_1451 _let_1458 _let_1462 _let_1467 _let_1471 _let_1473) (SCOPE (TRANS _let_457 _let_503 _let_500 _let_1403 _let_1397 _let_1395 _let_1053 _let_1391 _let_1389 _let_1429 _let_1422 _let_1421 _let_1475 (SYMM _let_1466) (CONG _let_448 (TRANS _let_277 _let_1461 _let_1450 _let_1448 _let_1446 _let_1444 _let_1443 _let_1442 _let_1441 _let_1440 _let_1437 _let_1435 _let_1434 _let_1431 _let_1430 _let_1418 _let_1412 _let_1410 _let_1408 (CONG (CONG _let_1404 _let_448 :args _let_268) _let_271 :args _let_268)) :args _let_268) _let_1474 (CONG (TRANS _let_1472 (CONG (TRANS _let_1470 (TRANS _let_1469 _let_1468 _let_1466 _let_1465 _let_1420)) _let_397 :args _let_268) _let_1464) _let_271 :args _let_268) _let_1463 (CONG (TRANS (SYMM _let_1422) (SYMM _let_1429) _let_493 _let_492 _let_491 _let_276) _let_430 :args _let_268) _let_426 _let_277 _let_1461 _let_1450 _let_1448 _let_1446 _let_1444 _let_1443 _let_1442 _let_1441 _let_1440 _let_1437 _let_1435 _let_1434 _let_1431 _let_1430 _let_1418 _let_1412 _let_1410 _let_1408 (SYMM _let_1406) (CONG _let_1405 _let_430 :args _let_268) (CONG (TRANS _let_1404 _let_277) _let_427 :args _let_268) (CONG _let_278 (TRANS _let_457 _let_503 _let_500 _let_1403 _let_1397 _let_1395 _let_1053 _let_1391 _let_1389 _let_493 _let_492) :args _let_268) (CONG _let_277 _let_1290 :args _let_268) _let_294) :args (_let_134 _let_171 _let_77 _let_170 _let_64 _let_62 _let_663 _let_683 _let_1187 _let_644 _let_654 _let_701 _let_722 _let_669 _let_1186 _let_44 _let_49 _let_735 _let_1147 _let_1179 _let_1185 _let_1199 _let_1197 _let_1171 _let_1161 _let_1196 _let_78 _let_162 _let_72 _let_47 _let_158 _let_130 _let_570 _let_69 _let_649 _let_621 _let_706 _let_166 _let_717 _let_725 _let_1198 _let_1195 _let_1165 _let_1174 _let_1183 _let_1153 _let_1177 _let_667 _let_661 _let_1180 _let_1156 _let_1178 _let_1170 _let_691 _let_719 _let_169 _let_1203 _let_1209 _let_1207 _let_1206 _let_1193 _let_1208 _let_1200 _let_1149 _let_1158 _let_174 _let_1168 _let_1190 _let_1176 _let_1152 _let_1181 _let_1167 _let_1173 _let_1201 _let_1189))) :args (_let_44 _let_49 _let_47 _let_64 _let_62 _let_72 _let_69 _let_621 _let_77 _let_78 _let_570 _let_1209 _let_130 _let_1208 _let_1207 _let_134 _let_1206 _let_1203 _let_644 _let_158 _let_1201 _let_1200 _let_162 _let_649 _let_654 _let_661 _let_166 _let_663 _let_1199 _let_1198 _let_667 _let_669 _let_169 _let_1197 _let_1196 _let_1195 _let_1193 _let_683 _let_1190 _let_691 _let_170 _let_171 _let_174 _let_1189 _let_701 _let_1187 _let_1186 _let_706 _let_1185 _let_1183 _let_1181 _let_1180 _let_717 _let_719 _let_722 _let_1179 _let_725 _let_1178 _let_1177 _let_1176 _let_735 _let_1174 _let_1173 _let_1171 _let_1170 _let_1168 _let_1167 _let_1165 _let_1161 _let_1158 _let_1156 _let_1153 _let_1152 _let_1149 _let_1147))) :args (true _let_1289)) :args ((or _let_45 _let_376 _let_50 _let_48 _let_65 _let_63 _let_73 _let_70 _let_828 _let_261 _let_375 _let_585 _let_1288 _let_354 _let_1287 _let_1286 _let_259 _let_1285 (not _let_1203) _let_816 _let_337 _let_1284 _let_1283 _let_334 _let_812 _let_811 _let_808 _let_332 _let_807 _let_1282 _let_1281 _let_805 _let_804 _let_331 _let_1280 _let_1279 _let_1278 _let_1277 _let_799 _let_1276 _let_796 _let_257 _let_256 _let_255 _let_1275 _let_789 _let_1274 _let_1273 _let_784 _let_1272 _let_1271 _let_1270 _let_1269 _let_776 _let_775 _let_772 _let_1268 _let_769 _let_1267 _let_1266 _let_1265 _let_762 _let_1264 _let_1263 _let_1262 _let_1261 _let_1260 _let_1259 _let_1258 _let_1257 _let_1256 _let_1255 _let_1254 _let_1253 _let_1252 _let_1251))) _let_318 _let_1143 _let_1142 _let_1146 _let_1145 _let_1250 _let_1249 _let_741 _let_217 _let_218 _let_580 _let_1247 _let_228 _let_1246 _let_1245 _let_229 _let_1244 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_127 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_223)) :args _let_220))) _let_221 :args (_let_1203 false _let_38)) _let_742 _let_231 _let_1243 _let_1242 _let_232 _let_743 _let_744 _let_745 _let_233 _let_746 _let_1241 _let_1240 _let_748 _let_749 _let_234 _let_1239 _let_1238 _let_1237 _let_1236 _let_750 _let_1235 _let_751 _let_236 _let_238 _let_239 _let_1234 _let_752 _let_1233 _let_1232 _let_753 _let_1231 _let_1230 _let_1229 _let_1228 _let_754 _let_755 _let_756 _let_1227 _let_757 _let_1226 _let_1225 _let_1224 _let_758 _let_1223 _let_1222 _let_1221 _let_1220 _let_1219 _let_1218 _let_1217 _let_1216 _let_1215 _let_1214 _let_1213 _let_1212 _let_1211 _let_1210 :args (_let_45 false _let_44 false _let_49 false _let_47 false _let_64 false _let_62 false _let_72 false _let_69 false _let_621 false _let_77 false _let_78 false _let_570 false _let_1209 false _let_130 false _let_1208 false _let_1207 false _let_134 false _let_1206 false _let_1203 false _let_644 false _let_158 false _let_1201 false _let_1200 false _let_162 false _let_649 false _let_654 false _let_661 false _let_166 false _let_663 false _let_1199 false _let_1198 false _let_667 false _let_669 false _let_169 false _let_1197 false _let_1196 false _let_1195 false _let_1193 false _let_683 false _let_1190 false _let_691 false _let_170 false _let_171 false _let_174 false _let_1189 false _let_701 false _let_1187 false _let_1186 false _let_706 false _let_1185 false _let_1183 false _let_1181 false _let_1180 false _let_717 false _let_719 false _let_722 false _let_1179 false _let_725 false _let_1178 false _let_1177 false _let_1176 false _let_735 false _let_1174 false _let_1173 false _let_1171 false _let_1170 false _let_1168 false _let_1167 false _let_1165 false _let_1161 false _let_1158 false _let_1156 false _let_1153 false _let_1152 false _let_1149 false _let_1147)) _let_318 _let_1144 (MACRO_RESOLUTION_TRUST _let_198 (MACRO_RESOLUTION_TRUST _let_191 _let_1146 _let_1145 :args (_let_190 false _let_64 false _let_62)) :args (_let_203 true _let_66)) (MACRO_RESOLUTION_TRUST _let_578 _let_1144 :args ((not _let_41) true _let_43)) :args (false false _let_46 false _let_45 false _let_44 true _let_43 true _let_42 true _let_41)) :args (_let_40 _let_39 _let_38 _let_37 _let_36 _let_35 _let_34 _let_31 _let_30 _let_29 _let_28 _let_25 _let_24 _let_23 _let_22 _let_19 _let_18 _let_17 (or _let_16 _let_3) _let_14 _let_11 _let_8 (or _let_5 _let_3) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.91/3.16 )
% 2.96/3.17 % SZS output end Proof for GRP348-1
% 2.96/3.17 % cvc5---1.0.5 exiting
% 2.96/3.17 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------