TSTP Solution File: GRP345-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP345-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 00:25:43 EDT 2023

% Result   : Unsatisfiable 10.80s 11.15s
% Output   : Proof 10.80s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : GRP345-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 02:26:17 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.GbL3zqkgL2/cvc5---1.0.5_19002.p...
% 0.20/0.51  ------- get file name : TPTP file name is GRP345-1
% 0.20/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19002.smt2...
% 0.20/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.74/10.97  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.80/11.15  % SZS status Unsatisfiable for GRP345-1
% 10.80/11.15  % SZS output start Proof for GRP345-1
% 10.80/11.17  (
% 10.80/11.17  (let ((_let_1 (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c5) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.inverse tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.multiply X2 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X2) tptp.sk_c6)))))) (let ((_let_2 (= (tptp.inverse tptp.sk_c4) tptp.sk_c6))) (let ((_let_3 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (let ((_let_4 (= _let_3 tptp.sk_c6))) (let ((_let_5 (= (tptp.multiply tptp.sk_c4 tptp.sk_c6) tptp.sk_c5))) (let ((_let_6 (tptp.inverse tptp.sk_c6))) (let ((_let_7 (= _let_6 tptp.sk_c5))) (let ((_let_8 (or _let_4 _let_7))) (let ((_let_9 (tptp.inverse tptp.sk_c3))) (let ((_let_10 (= _let_9 tptp.sk_c7))) (let ((_let_11 (or _let_4 _let_10))) (let ((_let_12 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (let ((_let_13 (= _let_12 tptp.sk_c6))) (let ((_let_14 (or _let_4 _let_13))) (let ((_let_15 (tptp.multiply tptp.sk_c6 tptp.sk_c5))) (let ((_let_16 (= _let_15 tptp.sk_c7))) (let ((_let_17 (or _let_4 _let_16))) (let ((_let_18 (tptp.inverse tptp.sk_c2))) (let ((_let_19 (= _let_18 tptp.sk_c6))) (let ((_let_20 (or _let_19 _let_7))) (let ((_let_21 (or _let_19 _let_10))) (let ((_let_22 (or _let_19 _let_13))) (let ((_let_23 (or _let_19 _let_16))) (let ((_let_24 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (let ((_let_25 (= _let_24 tptp.sk_c7))) (let ((_let_26 (or _let_25 _let_7))) (let ((_let_27 (or _let_25 _let_10))) (let ((_let_28 (or _let_25 _let_13))) (let ((_let_29 (or _let_25 _let_16))) (let ((_let_30 (tptp.inverse tptp.sk_c1))) (let ((_let_31 (= _let_30 tptp.sk_c7))) (let ((_let_32 (or _let_31 _let_7))) (let ((_let_33 (or _let_31 _let_10))) (let ((_let_34 (or _let_31 _let_13))) (let ((_let_35 (or _let_31 _let_16))) (let ((_let_36 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (let ((_let_37 (= _let_36 tptp.sk_c5))) (let ((_let_38 (or _let_37 _let_7))) (let ((_let_39 (or _let_37 _let_10))) (let ((_let_40 (or _let_37 _let_13))) (let ((_let_41 (or _let_37 _let_16))) (let ((_let_42 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_43 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_44 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_45 (tptp.multiply tptp.identity tptp.identity))) (let ((_let_46 (= tptp.identity _let_45))) (let ((_let_47 (tptp.multiply tptp.identity tptp.sk_c6))) (let ((_let_48 (= tptp.sk_c6 _let_47))) (let ((_let_49 (tptp.multiply _let_6 tptp.sk_c6))) (let ((_let_50 (= tptp.identity _let_49))) (let ((_let_51 (tptp.multiply tptp.identity tptp.sk_c7))) (let ((_let_52 (= tptp.sk_c7 _let_51))) (let ((_let_53 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (let ((_let_54 (tptp.inverse tptp.sk_c5))) (let ((_let_55 (tptp.multiply _let_54 tptp.sk_c5))) (let ((_let_56 (= tptp.identity _let_55))) (let ((_let_57 (tptp.multiply _let_9 tptp.sk_c3))) (let ((_let_58 (= tptp.identity _let_57))) (let ((_let_59 (tptp.multiply tptp.sk_c6 tptp.identity))) (let ((_let_60 (= (tptp.multiply _let_59 tptp.sk_c6) (tptp.multiply tptp.sk_c6 _let_47)))) (let ((_let_61 (tptp.multiply tptp.sk_c5 tptp.sk_c6))) (let ((_let_62 (tptp.multiply _let_54 _let_61))) (let ((_let_63 (= (tptp.multiply _let_55 tptp.sk_c6) _let_62))) (let ((_let_64 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (let ((_let_65 (= (tptp.multiply _let_55 tptp.sk_c7) (tptp.multiply _let_54 _let_64)))) (let ((_let_66 (= (tptp.multiply _let_57 tptp.sk_c7) (tptp.multiply _let_9 _let_12)))) (let ((_let_67 (= (tptp.multiply _let_49 tptp.sk_c5) (tptp.multiply _let_6 _let_15)))) (let ((_let_68 (= (tptp.multiply _let_15 tptp.sk_c6) (tptp.multiply tptp.sk_c6 _let_61)))) (let ((_let_69 (= (tptp.multiply _let_62 tptp.identity) (tptp.multiply _let_54 (tptp.multiply _let_61 tptp.identity))))) (let ((_let_70 (= tptp.sk_c5 _let_36))) (let ((_let_71 (= tptp.sk_c7 _let_15))) (let ((_let_72 (= tptp.sk_c6 _let_12))) (let ((_let_73 (= tptp.sk_c7 _let_9))) (let ((_let_74 (= tptp.sk_c5 _let_6))) (let ((_let_75 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (_let_75))) (let ((_let_78 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_77)))) (let ((_let_79 (MACRO_RESOLUTION_TRUST _let_78 _let_76 :args (_let_46 false _let_75)))) (let ((_let_80 (tptp.sk_c6 QUANTIFIERS_INST_ENUM))) (let ((_let_81 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args _let_80) :args _let_77)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST _let_81 _let_76 :args (_let_48 false _let_75)))) (let ((_let_83 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_84 (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_85 (_let_83))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args _let_80) :args _let_85)) _let_84 :args (_let_50 false _let_83)))) (let ((_let_87 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.sk_c7 QUANTIFIERS_INST_ENUM)) :args _let_77)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST _let_87 _let_76 :args (_let_52 false _let_75)))) (let ((_let_89 (tptp.sk_c5 QUANTIFIERS_INST_ENUM))) (let ((_let_90 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args _let_89) :args _let_77)))) (let ((_let_91 (MACRO_RESOLUTION_TRUST _let_90 _let_76 :args (_let_53 false _let_75)))) (let ((_let_92 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args _let_89) :args _let_85)))) (let ((_let_93 (MACRO_RESOLUTION_TRUST _let_92 _let_84 :args (_let_56 false _let_83)))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.sk_c3 QUANTIFIERS_INST_ENUM)) :args _let_85)) _let_84 :args (_let_58 false _let_83)))) (let ((_let_95 (_let_42))) (let ((_let_96 (ASSUME :args _let_95))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk_c6 tptp.identity tptp.sk_c6 QUANTIFIERS_INST_ENUM)) :args _let_95)) _let_96 :args (_let_60 false _let_42)))) (let ((_let_98 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_54 tptp.sk_c5 tptp.sk_c6 QUANTIFIERS_INST_CBQI_PROP)) :args _let_95)))) (let ((_let_99 (MACRO_RESOLUTION_TRUST _let_98 _let_96 :args (_let_63 false _let_42)))) (let ((_let_100 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_54 tptp.sk_c5 tptp.sk_c7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_95)))) (let ((_let_101 (MACRO_RESOLUTION_TRUST _let_100 _let_96 :args (_let_65 false _let_42)))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_9 tptp.sk_c3 tptp.sk_c7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_95)) _let_96 :args (_let_66 false _let_42)))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_6 tptp.sk_c6 tptp.sk_c5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_95)) _let_96 :args (_let_67 false _let_42)))) (let ((_let_104 (= tptp.sk_c7 _let_30))) (let ((_let_105 (= (tptp.multiply _let_36 tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (let ((_let_106 (= tptp.sk_c7 _let_6))) (let ((_let_107 (= (tptp.multiply _let_59 tptp.identity) (tptp.multiply tptp.sk_c6 _let_45)))) (let ((_let_108 (= tptp.identity (tptp.multiply (tptp.inverse _let_59) _let_59)))) (let ((_let_109 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (let ((_let_110 (= tptp.sk_c7 _let_109))) (let ((_let_111 (= tptp.sk_c5 _let_109))) (let ((_let_112 (= tptp.sk_c6 _let_6))) (let ((_let_113 (= tptp.sk_c6 _let_15))) (let ((_let_114 (= tptp.sk_c6 _let_36))) (let ((_let_115 (not _let_110))) (let ((_let_116 (not _let_106))) (let ((_let_117 (or _let_116 _let_115))) (let ((_let_118 (not _let_112))) (let ((_let_119 (not _let_111))) (let ((_let_120 (or _let_119 _let_118))) (let ((_let_121 (not _let_113))) (let ((_let_122 (or _let_118 _let_121))) (let ((_let_123 (not _let_114))) (let ((_let_124 (or _let_123 _let_116))) (let ((_let_125 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c7 (tptp.multiply X3 tptp.sk_c6))))))) (let ((_let_126 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X2))))))) (let ((_let_127 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply X4 tptp.sk_c5))))))) (let ((_let_128 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))))))) (let ((_let_129 (not _let_70))) (let ((_let_130 (= tptp.sk_c7 _let_24))) (let ((_let_131 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (let ((_let_132 (tptp.multiply _let_30 tptp.sk_c1))) (let ((_let_133 (= tptp.identity _let_132))) (let ((_let_134 (= (tptp.multiply _let_109 tptp.sk_c7) (tptp.multiply tptp.sk_c6 _let_36)))) (let ((_let_135 (not _let_104))) (let ((_let_136 (not _let_130))) (let ((_let_137 (or _let_135 _let_136))) (let ((_let_138 (= tptp.sk_c6 _let_18))) (let ((_let_139 (= (tptp.multiply _let_132 tptp.sk_c6) (tptp.multiply _let_30 _let_24)))) (let ((_let_140 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (let ((_let_141 (= (tptp.multiply _let_140 tptp.sk_c7) (tptp.multiply tptp.sk_c7 _let_140)))) (let ((_let_142 (tptp.multiply _let_59 tptp.sk_c7))) (let ((_let_143 (= _let_142 (tptp.multiply tptp.sk_c6 _let_51)))) (let ((_let_144 (= (tptp.multiply _let_36 tptp.sk_c7) (tptp.multiply tptp.sk_c6 _let_140)))) (let ((_let_145 (= (tptp.multiply (tptp.multiply _let_142 tptp.sk_c7) tptp.sk_c7) (tptp.multiply _let_142 _let_140)))) (let ((_let_146 (_let_125))) (let ((_let_147 (ASSUME :args _let_146))) (let ((_let_148 (= tptp.sk_c6 _let_3))) (let ((_let_149 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) (let ((_let_150 (tptp.multiply _let_18 tptp.sk_c2))) (let ((_let_151 (= tptp.identity _let_150))) (let ((_let_152 (not _let_138))) (let ((_let_153 (= (tptp.multiply _let_150 tptp.sk_c5) (tptp.multiply _let_18 _let_3)))) (let ((_let_154 (= (tptp.multiply _let_109 tptp.sk_c6) (tptp.multiply tptp.sk_c6 _let_109)))) (let ((_let_155 (= (tptp.multiply _let_3 tptp.sk_c7) (tptp.multiply tptp.sk_c2 _let_64)))) (let ((_let_156 (not _let_148))) (let ((_let_157 (tptp.sk_c1 QUANTIFIERS_INST_ENUM))) (let ((_let_158 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args _let_157) :args _let_85)))) (let ((_let_159 (MACRO_RESOLUTION_TRUST _let_158 _let_84 :args (_let_133 false _let_83)))) (let ((_let_160 (tptp.sk_c2 QUANTIFIERS_INST_ENUM))) (let ((_let_161 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args _let_160) :args _let_85)))) (let ((_let_162 (MACRO_RESOLUTION_TRUST _let_161 _let_84 :args (_let_151 false _let_83)))) (let ((_let_163 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_18 tptp.sk_c2 tptp.sk_c5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_95)))) (let ((_let_164 (MACRO_RESOLUTION_TRUST _let_163 _let_96 :args (_let_153 false _let_42)))) (let ((_let_165 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk_c6 tptp.sk_c6 tptp.sk_c6 QUANTIFIERS_INST_ENUM)) :args _let_95)))) (let ((_let_166 (MACRO_RESOLUTION_TRUST _let_165 _let_96 :args (_let_154 false _let_42)))) (let ((_let_167 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_30 tptp.sk_c1 tptp.sk_c6 QUANTIFIERS_INST_CBQI_PROP)) :args _let_95)))) (let ((_let_168 (MACRO_RESOLUTION_TRUST _let_167 _let_96 :args (_let_139 false _let_42)))) (let ((_let_169 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk_c6 tptp.identity tptp.sk_c7 QUANTIFIERS_INST_ENUM)) :args _let_95)))) (let ((_let_170 (MACRO_RESOLUTION_TRUST _let_169 _let_96 :args (_let_143 false _let_42)))) (let ((_let_171 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk_c6 tptp.sk_c6 tptp.sk_c7 QUANTIFIERS_INST_ENUM)) :args _let_95)))) (let ((_let_172 (MACRO_RESOLUTION_TRUST _let_171 _let_96 :args (_let_134 false _let_42)))) (let ((_let_173 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk_c6 tptp.sk_c7 tptp.sk_c7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_95)))) (let ((_let_174 (MACRO_RESOLUTION_TRUST _let_173 _let_96 :args (_let_144 false _let_42)))) (let ((_let_175 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk_c2 tptp.sk_c5 tptp.sk_c7 QUANTIFIERS_INST_CBQI_PROP)) :args _let_95)))) (let ((_let_176 (MACRO_RESOLUTION_TRUST _let_175 _let_96 :args (_let_155 false _let_42)))) (let ((_let_177 (not _let_155))) (let ((_let_178 (not _let_65))) (let ((_let_179 (not _let_63))) (let ((_let_180 (not _let_144))) (let ((_let_181 (not _let_134))) (let ((_let_182 (not _let_143))) (let ((_let_183 (not 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_let_405 (CONG _let_201 _let_199 :args _let_196) _let_204 (CONG (TRANS _let_315 _let_236 (CONG _let_313 _let_206 :args _let_196)) _let_206 :args _let_196) _let_398 (CONG _let_312 _let_299 :args _let_196) _let_394) :args _let_196))) (let ((_let_462 (CONG (TRANS _let_265 _let_461 _let_269 _let_267 _let_296 _let_295 _let_249) :args _let_287))) (let ((_let_463 (SYMM _let_298))) (let ((_let_464 (SYMM _let_297))) (let ((_let_465 (CONG (TRANS (CONG _let_201 (TRANS _let_265 _let_461 _let_269 _let_267 _let_464 _let_245 _let_463) :args _let_196) _let_236 (SYMM _let_458) _let_298 _let_246 _let_297 _let_332 _let_268 (SYMM _let_461) _let_266) :args _let_287))) (let ((_let_466 (ASSUME :args (_let_67)))) (let ((_let_467 (SYMM _let_466))) (let ((_let_468 (SYMM _let_467))) (let ((_let_469 (ASSUME :args (_let_50)))) (let ((_let_470 (SYMM _let_469))) (let ((_let_471 (SYMM _let_470))) (let ((_let_472 (CONG _let_471 _let_216 :args _let_196))) (let ((_let_473 (CNF_AND_NEG :args (_let_451)))) (let ((_let_474 (CONG _let_407 _let_226 :args _let_196))) (let ((_let_475 (CONG _let_272 (TRANS _let_197 _let_423 _let_422 _let_419 _let_418 _let_410 _let_474 _let_324 _let_323 _let_227 _let_405 _let_402 _let_204 (CONG (TRANS _let_401 _let_236 _let_399) _let_206 :args _let_196) _let_398 _let_395 _let_394) :args _let_196))) (let ((_let_476 (CONG (TRANS _let_265 _let_475 _let_269 _let_267 _let_296 _let_295 _let_249) :args _let_287))) (let ((_let_477 (CONG (TRANS (CONG _let_201 (TRANS _let_265 _let_475 _let_269 _let_267 _let_464 _let_245 _let_463) :args _let_196) _let_236 (CONG (TRANS _let_233 (TRANS _let_231 _let_228 _let_423 _let_422 _let_419 _let_418 _let_410 _let_474 _let_324 _let_323 _let_227)) _let_206 :args _let_196) _let_298 _let_246 _let_297 _let_332 _let_268 (SYMM _let_475) _let_266) :args _let_287))) (let ((_let_478 (MODUS_PONENS (AND_INTRO _let_389 _let_215 _let_220 _let_469 _let_466 _let_248 _let_265 _let_268 _let_197 _let_226 _let_229 _let_250 _let_245 _let_242 _let_239 _let_396 _let_235 _let_203 _let_403 _let_406 _let_409 _let_415 _let_412 _let_420) (SCOPE (TRANS _let_248 _let_334 _let_333 _let_464 _let_245 _let_463 (CONG (TRANS (TRANS _let_226 (SYMM _let_323) (SYMM _let_324) (SYMM _let_474) _let_409 (SYMM _let_418) (SYMM _let_419) _let_421 (SYMM _let_423) _let_198 _let_443 (SYMM _let_476) (SYMM _let_477)) (TRANS _let_477 _let_476)) _let_405 :args _let_196) _let_467 (CONG _let_470 _let_215 :args _let_196) _let_289 _let_288 _let_216 _let_443) :args (_let_74 _let_53 _let_46 _let_50 _let_67 _let_48 _let_56 _let_63 _let_70 _let_52 _let_143 _let_133 _let_139 _let_104 _let_130 _let_145 _let_144 _let_134 _let_71 _let_58 _let_66 _let_73 _let_72 _let_141))))) (let ((_let_479 (SCOPE (TRANS _let_391 _let_456 _let_405) :args (_let_71 _let_106 _let_112)))) (let ((_let_480 (SCOPE (TRANS _let_391 _let_390 _let_199) :args (_let_70 _let_74 _let_112)))) (let ((_let_481 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_59 QUANTIFIERS_INST_ENUM)) :args _let_85)) _let_84 :args (_let_108 false _let_83)))) (let ((_let_482 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk_c6 tptp.sk_c7 tptp.sk_c6 QUANTIFIERS_INST_CBQI_PROP)) :args _let_95)) _let_96 :args (_let_105 false _let_42)))) (let ((_let_483 (not _let_105))) (let ((_let_484 (not _let_108))) (let ((_let_485 (and _let_70 _let_71 _let_72 _let_73 _let_74 _let_104 _let_46 _let_48 _let_52 _let_53 _let_56 _let_58 _let_131 _let_133 _let_108 _let_134 _let_63 _let_105 _let_66))) (let ((_let_486 (ASSUME :args (_let_105)))) (let ((_let_487 (SYMM _let_486))) (let ((_let_488 (CONG _let_272 (TRANS _let_197 (CONG _let_201 (TRANS _let_226 _let_278 _let_277 _let_430 _let_411 _let_432) :args _let_196) _let_487 _let_394) :args _let_196))) (let ((_let_489 (ASSUME :args (_let_108)))) (let ((_let_490 (SYMM _let_489))) (let ((_let_491 (REFL :args (tptp.identity)))) (let ((_let_492 (TRANS _let_269 _let_267 _let_296 _let_295 _let_249))) (let ((_let_493 (CONG _let_492 _let_491 :args _let_196))) (let ((_let_494 (TRANS _let_220 (CONG (TRANS _let_265 _let_488) _let_491 :args _let_196) _let_493))) (let ((_let_495 (SYMM _let_488))) (let ((_let_496 (TRANS _let_248 _let_334 _let_333 _let_332 _let_268 _let_495 _let_266))) (let ((_let_497 (CONG (TRANS _let_227 (TRANS _let_405 (CONG _let_496 _let_215 :args _let_196) _let_289 _let_288 _let_216 _let_443 (CONG _let_496 :args _let_287) (CONG _let_494 :args _let_287))) _let_494 :args _let_196))) (let ((_let_498 (CONG (TRANS _let_416 _let_226) (TRANS _let_413 _let_248 _let_334 _let_333 _let_332 _let_268 _let_495 _let_266) :args _let_196))) (let ((_let_499 (TRANS _let_226 _let_278 _let_277 _let_430 _let_411 _let_498 _let_497 _let_490))) (let ((_let_500 (TRANS _let_205 _let_311 _let_404))) (let ((_let_501 (and _let_70 _let_71 _let_72 _let_73 _let_74 _let_46 _let_48 _let_52 _let_53 _let_56 _let_58 _let_63 _let_105 _let_66))) (let ((_let_502 (SYMM _let_487))) (let ((_let_503 (CONG _let_272 (TRANS _let_439 _let_502 (CONG _let_201 (TRANS _let_418 _let_410 _let_474 _let_324 _let_323 _let_227) :args _let_196) _let_198) :args _let_196))) (let ((_let_504 (TRANS _let_503 _let_266))) (let ((_let_505 (TRANS _let_248 _let_255 _let_254 _let_441 _let_392))) (let ((_let_506 (TRANS _let_505 _let_504))) (let ((_let_507 (CONG _let_506 _let_215 :args _let_196))) (let ((_let_508 (MODUS_PONENS (AND_INTRO _let_409 _let_403 _let_220 _let_412 _let_389 _let_197 _let_265 _let_248 _let_226 _let_415 _let_215 _let_406 _let_268 _let_486) (SCOPE (TRANS _let_405 _let_507 _let_289 _let_288 _let_216 _let_443) :args (_let_66 _let_71 _let_46 _let_72 _let_74 _let_70 _let_56 _let_48 _let_52 _let_73 _let_53 _let_58 _let_63 _let_105))))) (let ((_let_509 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk_c6 tptp.identity tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_95)) _let_96 :args (_let_107 false _let_42)))) (let ((_let_510 (not _let_60))) (let ((_let_511 (not _let_107))) (let ((_let_512 (and _let_70 _let_71 _let_72 _let_73 _let_74 _let_46 _let_48 _let_52 _let_53 _let_56 _let_58 _let_107 _let_60 _let_108 _let_63 _let_105 _let_66))) (let ((_let_513 (true _let_512))) (let ((_let_514 (_let_70 _let_71 _let_72 _let_73 _let_74 _let_46 _let_48 _let_52 _let_53 _let_56 _let_58 _let_107 _let_60 _let_108 _let_63 _let_105 _let_66))) (let ((_let_515 (CONG _let_201 _let_249 :args _let_196))) (let ((_let_516 (ASSUME :args (_let_60)))) (let ((_let_517 (SYMM (SYMM _let_516)))) (let ((_let_518 (CONG _let_272 (TRANS _let_197 (CONG _let_201 (TRANS _let_226 _let_278 _let_277 _let_430 _let_411 _let_447) :args _let_196) (SYMM _let_502) _let_394) :args _let_196))) (let ((_let_519 (TRANS _let_265 _let_518 _let_393 _let_267 _let_296 _let_295 _let_249))) (let ((_let_520 (ASSUME :args (_let_107)))) (let ((_let_521 (CONG (TRANS _let_393 _let_267 _let_296 _let_295 _let_249) _let_491 :args _let_196))) (let ((_let_522 (CONG (TRANS _let_265 _let_518) _let_491 :args _let_196))) (let ((_let_523 (SYMM _let_490))) (let ((_let_524 (TRANS _let_220 _let_522 _let_521))) (let ((_let_525 (SYMM _let_519))) (let ((_let_526 (MODUS_PONENS (AND_INTRO _let_409 _let_486 _let_268 _let_489 _let_403 _let_220 _let_412 _let_389 _let_197 _let_265 _let_248 _let_226 _let_415 _let_215 _let_406 _let_520 _let_516) (SCOPE (TRANS _let_226 _let_278 _let_277 _let_430 _let_411 (CONG (TRANS _let_446 _let_226) (TRANS _let_445 _let_248 _let_334 _let_333 _let_332 _let_392 (SYMM _let_518) _let_266) :args _let_196) (CONG (TRANS _let_227 (TRANS _let_405 (CONG _let_525 _let_215 :args _let_196) _let_289 _let_288 _let_216 _let_443 (CONG _let_525 :args _let_287) (CONG _let_524 :args _let_287))) _let_524 :args _let_196) (SYMM _let_523) _let_220 _let_522 _let_521 (CONG _let_201 _let_220 :args _let_196) (SYMM _let_520) (CONG (REFL :args (_let_59)) _let_519 :args _let_196) _let_517 _let_515) :args (_let_66 _let_105 _let_63 _let_108 _let_71 _let_46 _let_72 _let_74 _let_70 _let_56 _let_48 _let_52 _let_73 _let_53 _let_58 _let_107 _let_60))))) (let ((_let_527 (CNF_AND_NEG :args (_let_512)))) (let ((_let_528 (and _let_70 _let_71 _let_72 _let_73 _let_74 _let_46 _let_48 _let_52 _let_53 _let_56 _let_58 _let_108 _let_63 _let_105 _let_66))) (let ((_let_529 (true _let_528))) (let ((_let_530 (_let_70 _let_71 _let_72 _let_73 _let_74 _let_46 _let_48 _let_52 _let_53 _let_56 _let_58 _let_108 _let_63 _let_105 _let_66))) (let ((_let_531 (TRANS (CONG _let_505 _let_491 :args _let_196) (CONG _let_504 _let_491 :args _let_196) _let_221))) (let ((_let_532 (MODUS_PONENS (AND_INTRO _let_409 _let_486 _let_403 _let_220 _let_412 _let_389 _let_197 _let_265 _let_248 _let_226 _let_415 _let_215 _let_406 _let_268 _let_489) (SCOPE (TRANS _let_248 _let_255 _let_254 _let_441 _let_392 _let_503 _let_266 _let_523 (CONG (TRANS (TRANS (CONG _let_531 :args _let_287) (CONG (SYMM _let_506) :args _let_287) _let_390 _let_215 _let_319 _let_318 (SYMM _let_507) _let_404) _let_226) _let_531 :args _let_196) (CONG (TRANS _let_227 _let_417) (TRANS _let_265 (SYMM _let_503) _let_269 (SYMM _let_441) _let_264 _let_263 _let_249 _let_414) :args _let_196) _let_410 _let_474 _let_324 _let_323 _let_227 _let_405 _let_507 _let_289 _let_288 _let_216 _let_443) :args (_let_66 _let_105 _let_71 _let_46 _let_72 _let_74 _let_70 _let_56 _let_48 _let_52 _let_73 _let_53 _let_58 _let_63 _let_108))))) (let ((_let_533 (CNF_AND_NEG :args (_let_528)))) (let ((_let_534 (MACRO_RESOLUTION_TRUST _let_360 _let_359 _let_355 _let_364 _let_350 _let_357 _let_353 _let_362 _let_348 (REORDERING (RESOLUTION _let_533 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_197 _let_389 _let_532) _let_480) :args _let_530)) :args _let_529) :args ((or _let_129 _let_375 _let_374 _let_373 _let_372 _let_192 _let_191 _let_190 _let_189 _let_188 _let_371 _let_484 _let_179 _let_114 _let_483 _let_368))) _let_102 _let_482 _let_99 _let_481 _let_94 _let_93 _let_91 _let_88 _let_82 _let_79 (REORDERING (RESOLUTION _let_533 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_403 _let_508 _let_532) _let_479) :args _let_530)) :args _let_529) :args ((or _let_129 _let_375 _let_374 _let_373 _let_372 _let_192 _let_191 _let_190 _let_189 _let_188 _let_371 _let_484 _let_179 _let_113 _let_483 _let_368))) _let_102 _let_482 _let_99 _let_481 _let_94 _let_93 _let_91 _let_88 _let_82 _let_79 (REORDERING (RESOLUTION _let_533 (IMPLIES_ELIM (SCOPE _let_532 :args _let_530)) :args _let_529) :args ((or _let_129 _let_375 _let_374 _let_373 _let_372 _let_192 _let_191 _let_190 _let_189 _let_188 _let_371 _let_484 _let_179 _let_112 _let_483 _let_368))) _let_102 _let_482 _let_99 _let_481 _let_94 _let_93 _let_91 _let_88 _let_82 _let_79 (REORDERING (RESOLUTION _let_527 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_526 _let_508 _let_389) _let_457) :args _let_514)) :args _let_513) :args ((or _let_129 _let_375 _let_374 _let_373 _let_372 _let_192 _let_191 _let_190 _let_189 _let_188 _let_371 _let_511 _let_510 _let_484 _let_179 _let_111 _let_483 _let_368))) _let_102 _let_482 _let_99 _let_481 _let_97 _let_509 _let_94 _let_93 _let_91 _let_88 _let_82 _let_79 (REORDERING (RESOLUTION _let_527 (IMPLIES_ELIM (SCOPE _let_526 :args _let_514)) :args _let_513) :args ((or _let_129 _let_375 _let_374 _let_373 _let_372 _let_192 _let_191 _let_190 _let_189 _let_188 _let_371 _let_511 _let_510 _let_484 _let_179 _let_110 _let_483 _let_368))) _let_102 _let_482 _let_99 _let_481 _let_97 _let_509 _let_94 _let_93 _let_91 _let_88 _let_82 _let_79 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_501)) (IMPLIES_ELIM (SCOPE _let_508 :args (_let_70 _let_71 _let_72 _let_73 _let_74 _let_46 _let_48 _let_52 _let_53 _let_56 _let_58 _let_63 _let_105 _let_66))) :args (true _let_501)) :args ((or _let_129 _let_375 _let_374 _let_373 _let_372 _let_192 _let_191 _let_190 _let_189 _let_188 _let_371 _let_179 _let_106 _let_483 _let_368))) _let_102 _let_482 _let_99 _let_94 _let_93 _let_91 _let_88 _let_82 _let_79 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_74 _let_104))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_73 _let_104))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_72 _let_104))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_104))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_485)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_409 _let_486 _let_268 _let_203 _let_489 _let_403 _let_220 _let_389 _let_197 _let_265 _let_412 _let_321 _let_242 _let_248 _let_226 _let_415 _let_215 _let_250 _let_406) (SCOPE (TRANS _let_226 _let_278 _let_277 (CONG (TRANS (SYMM _let_499) (TRANS _let_226 _let_278 _let_277 _let_430 _let_411 _let_498 _let_497 _let_490 _let_252 (CONG _let_243 _let_328 :args _let_196) (CONG (SYMM _let_500) _let_328 :args _let_196) (CONG (TRANS 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(MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_74 _let_130))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_73 _let_130))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_72 _let_130))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_130))) (MACRO_RESOLUTION_TRUST _let_360 _let_359 _let_355 _let_364 _let_357 _let_353 _let_362 (REORDERING (RESOLUTION _let_473 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_197 _let_389 _let_478) _let_480) :args _let_453)) :args _let_452) :args ((or _let_129 _let_375 _let_374 _let_373 _let_372 _let_135 _let_136 _let_192 _let_191 _let_450 _let_190 _let_189 _let_188 _let_371 _let_187 _let_183 _let_369 _let_182 _let_181 _let_180 _let_179 _let_114 _let_368 _let_367 _let_449))) _let_103 _let_366 _let_102 _let_99 _let_174 _let_172 _let_170 _let_365 _let_168 _let_159 _let_94 _let_93 _let_91 _let_88 _let_86 _let_82 _let_79 (REORDERING (RESOLUTION _let_473 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_403 _let_448 _let_478) _let_479) :args _let_453)) :args _let_452) :args ((or _let_129 _let_375 _let_374 _let_373 _let_372 _let_135 _let_136 _let_192 _let_191 _let_450 _let_190 _let_189 _let_188 _let_371 _let_187 _let_183 _let_369 _let_182 _let_181 _let_180 _let_179 _let_113 _let_368 _let_367 _let_449))) _let_103 _let_366 _let_102 _let_99 _let_174 _let_172 _let_170 _let_365 _let_168 _let_159 _let_94 _let_93 _let_91 _let_88 _let_86 _let_82 _let_79 (REORDERING (RESOLUTION _let_473 (IMPLIES_ELIM (SCOPE _let_478 :args _let_453)) :args _let_452) :args ((or _let_129 _let_375 _let_374 _let_373 _let_372 _let_135 _let_136 _let_192 _let_191 _let_450 _let_190 _let_189 _let_188 _let_371 _let_187 _let_183 _let_369 _let_182 _let_181 _let_180 _let_179 _let_112 _let_368 _let_367 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_let_217 _let_209 _let_425) (SCOPE (TRANS _let_293 (CONG (TRANS _let_425 (CONG _let_220 _let_262 :args _let_196) (CONG _let_221 _let_425 :args _let_196) (CONG (TRANS _let_265 _let_424 _let_393 _let_267 _let_296 _let_295 _let_249 _let_293) _let_426 :args _let_196) _let_290) :args _let_287) (CONG (TRANS _let_265 _let_424 _let_393 _let_267 _let_296 _let_295 _let_249) :args _let_287)) :args (_let_48 _let_46 _let_56 _let_63 _let_70 _let_52 _let_143 _let_133 _let_139 _let_104 _let_130 _let_145 _let_144 _let_134 _let_71 _let_58 _let_66 _let_73 _let_72 _let_141 _let_151 _let_138 _let_149))) _let_248) :args (_let_70 _let_71 _let_72 _let_73 _let_74 _let_104 _let_130 _let_138 _let_156 _let_46 _let_48 _let_52 _let_56 _let_58 _let_133 _let_149 _let_151 _let_139 _let_141 _let_143 _let_134 _let_144 _let_63 _let_66 _let_145)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (TRANS _let_248 (TRANS _let_249 _let_391) (TRANS _let_390 _let_199)))) (FALSE_INTRO (ASSUME :args (_let_123))))) :args (_let_123 _let_70 _let_74 _let_112 _let_48)) :args ((not (and _let_70 _let_71 _let_72 _let_73 _let_74 _let_104 _let_130 _let_138 _let_156 _let_46 _let_48 _let_52 _let_56 _let_58 _let_133 _let_149 _let_151 _let_139 _let_141 _let_143 _let_134 _let_144 _let_63 _let_66 _let_145)) SB_LITERAL))) (CONG (REFL :args _let_388) _let_387 _let_386 _let_385 _let_384 (REFL :args (_let_135)) (REFL :args (_let_136)) (REFL :args (_let_152)) (MACRO_SR_PRED_INTRO :args ((= (not _let_156) _let_148))) _let_383 _let_382 _let_381 _let_380 _let_379 (REFL :args (_let_187)) (REFL :args (_let_370)) (REFL :args (_let_186)) (REFL :args (_let_183)) (REFL :args (_let_369)) (REFL :args (_let_182)) (REFL :args (_let_181)) (REFL :args (_let_180)) _let_378 _let_377 (REFL :args (_let_367)) :args _let_376)) :args ((or _let_148 _let_129 _let_375 _let_374 _let_373 _let_372 _let_135 _let_136 _let_152 _let_192 _let_191 _let_190 _let_188 _let_371 _let_187 _let_370 _let_186 _let_183 _let_369 _let_182 _let_181 _let_180 _let_179 _let_368 _let_367))) _let_366 _let_102 _let_99 _let_174 _let_172 _let_170 _let_365 _let_168 _let_162 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args _let_160) :args _let_77)) _let_76 :args (_let_149 false _let_75)) _let_159 _let_94 _let_93 _let_88 _let_82 _let_79 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_74 _let_148))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_73 _let_148))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_72 _let_148))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_148))) (MACRO_RESOLUTION_TRUST _let_364 _let_362 (RESOLUTION (CNF_AND_NEG :args (_let_361)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_209 _let_207 _let_212 _let_217 _let_215 _let_220) (SCOPE _let_225 :args (_let_138 _let_148 _let_153 _let_151 _let_53 _let_46))) :args (_let_138 _let_148 _let_46 _let_53 _let_151 _let_153))) :args (true _let_361)) _let_164 _let_162 _let_91 _let_79 _let_360 (MACRO_RESOLUTION_TRUST _let_359 _let_357 (RESOLUTION (CNF_AND_NEG :args (_let_356)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_258 _let_242 _let_239 _let_212 _let_209 _let_197 _let_207 _let_245 _let_220 _let_217 _let_215 _let_250 _let_248 _let_235) (SCOPE (TRANS _let_207 _let_344 _let_259 _let_257) :args (_let_155 _let_104 _let_130 _let_153 _let_138 _let_70 _let_148 _let_139 _let_46 _let_151 _let_53 _let_133 _let_48 _let_144))) :args (_let_70 _let_104 _let_130 _let_138 _let_148 _let_46 _let_48 _let_53 _let_133 _let_151 _let_153 _let_139 _let_144 _let_155))) :args (true _let_356)) _let_176 _let_174 _let_168 _let_164 _let_162 _let_159 _let_91 _let_82 _let_79 _let_341 _let_78 _let_81 _let_87 _let_90 _let_92 _let_280 _let_76 _let_158 _let_161 _let_84 _let_163 _let_165 _let_167 _let_169 _let_171 _let_173 _let_98 _let_100 _let_175 _let_96 :args ((or _let_129 _let_135 _let_136 _let_152 _let_156 (not _let_128)) true _let_124 false _let_114 false _let_155 false _let_144 false _let_139 false _let_153 false _let_151 false _let_133 false _let_53 false _let_48 false _let_46 false _let_106 false _let_46 false _let_48 false _let_52 false _let_53 false _let_56 false _let_131 false _let_75 false _let_133 false _let_151 false _let_83 false _let_153 false _let_154 false _let_139 false _let_143 false _let_134 false _let_144 false _let_63 false _let_65 false _let_155 false _let_42)) _let_351 _let_176 _let_101 _let_99 _let_174 _let_172 _let_170 _let_168 _let_166 _let_164 _let_162 _let_159 _let_281 _let_93 _let_91 _let_88 _let_82 _let_79 (MACRO_RESOLUTION_TRUST _let_355 _let_353 (RESOLUTION (CNF_AND_NEG :args (_let_352)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_197 _let_203 _let_209 _let_207 _let_212 _let_217 _let_215 _let_220 _let_226 _let_229 _let_235 _let_242 _let_239 _let_245 _let_250 _let_248 _let_258) (SCOPE (TRANS _let_207 _let_344 _let_259 _let_257 _let_198 _let_215 _let_224 _let_222 _let_219 _let_214 _let_211 _let_342 _let_236 (CONG (TRANS _let_233 _let_347 _let_225) _let_206 :args _let_196) _let_205 _let_311) :args (_let_70 _let_134 _let_138 _let_148 _let_153 _let_151 _let_53 _let_46 _let_52 _let_143 _let_144 _let_104 _let_130 _let_139 _let_133 _let_48 _let_155))) :args (_let_70 _let_104 _let_130 _let_138 _let_148 _let_46 _let_48 _let_52 _let_53 _let_133 _let_151 _let_153 _let_139 _let_143 _let_134 _let_144 _let_155))) :args (true _let_352)) _let_176 _let_174 _let_172 _let_170 _let_168 _let_164 _let_162 _let_159 _let_91 _let_88 _let_82 _let_79 _let_351 _let_176 _let_101 _let_99 _let_174 _let_172 _let_170 _let_168 _let_166 _let_164 _let_162 _let_159 _let_281 _let_93 _let_91 _let_88 _let_82 _let_79 :args ((or _let_129 _let_135 _let_136 _let_152 _let_156 (not _let_127)) true _let_122 false _let_113 false _let_155 false _let_144 false _let_134 false _let_143 false _let_139 false _let_153 false _let_151 false _let_133 false _let_53 false _let_52 false _let_48 false _let_46 false _let_112 false _let_155 false _let_65 false _let_63 false _let_144 false _let_134 false _let_143 false _let_139 false _let_154 false _let_153 false _let_151 false _let_133 false _let_131 false _let_56 false _let_53 false _let_52 false _let_48 false _let_46)) (MACRO_RESOLUTION_TRUST _let_350 _let_348 (RESOLUTION _let_279 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_209 _let_207 _let_212 _let_217 _let_215 _let_220 _let_197 _let_258 _let_226 _let_229 _let_235 _let_242 _let_239 _let_245 _let_250 _let_248 _let_265 _let_268 _let_270 _let_203 _let_273) (SCOPE (TRANS _let_226 _let_278 _let_277 _let_276 _let_275 (CONG _let_272 (SYMM _let_343) :args _let_196) (CONG _let_272 (TRANS _let_215 _let_224 _let_222 _let_219 _let_214 _let_211 _let_342 _let_236 (CONG (TRANS _let_233 _let_347 _let_346) _let_206 :args _let_196) _let_205 _let_311 (CONG _let_201 _let_346 :args _let_196) _let_271 (CONG _let_345 _let_201 :args _let_196)) :args _let_196) _let_269 _let_267 _let_264 _let_263 _let_249 _let_207 _let_344 _let_259 _let_257 _let_198 _let_215 _let_224 _let_222 _let_219 _let_214 _let_211) :args (_let_138 _let_148 _let_153 _let_151 _let_53 _let_46 _let_70 _let_155 _let_52 _let_143 _let_144 _let_104 _let_130 _let_139 _let_133 _let_48 _let_56 _let_63 _let_154 _let_134 _let_65))) :args _let_195)) :args _let_194) _let_176 _let_101 _let_99 _let_174 _let_172 _let_170 _let_168 _let_166 _let_164 _let_162 _let_159 _let_93 _let_91 _let_88 _let_82 _let_79 _let_341 _let_176 _let_101 _let_99 _let_174 _let_172 _let_170 _let_168 _let_166 _let_164 _let_162 _let_159 _let_281 _let_93 _let_91 _let_88 _let_82 _let_79 :args ((or _let_129 _let_135 _let_136 _let_152 _let_156 (not _let_125)) true _let_117 false _let_110 false _let_155 false _let_65 false _let_63 false _let_144 false _let_134 false _let_143 false _let_139 false _let_154 false _let_153 false _let_151 false _let_133 false _let_56 false _let_53 false _let_52 false _let_48 false _let_46 false _let_106 false _let_155 false _let_65 false _let_63 false _let_144 false _let_134 false _let_143 false _let_139 false _let_154 false _let_153 false _let_151 false _let_133 false _let_131 false _let_56 false _let_53 false _let_52 false _let_48 false _let_46)) (REORDERING (RESOLUTION _let_336 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_335 (SCOPE (TRANS _let_199 _let_304 _let_260 _let_303 _let_208 _let_248 _let_334 _let_333 _let_332 _let_268 _let_331 _let_326 _let_274 _let_325 _let_324 _let_323 _let_227 _let_244 _let_330 _let_305) :args _let_286)) :args _let_285)) :args _let_284) :args ((or _let_74 _let_129 _let_135 _let_136 _let_152 _let_156 _let_192 _let_191 _let_190 _let_189 _let_188 _let_282 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177))) _let_176 _let_101 _let_99 _let_174 _let_172 _let_170 _let_168 _let_166 _let_164 _let_162 _let_159 _let_281 _let_93 _let_91 _let_88 _let_82 _let_79 (REORDERING (RESOLUTION _let_279 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_197 _let_203 _let_209 _let_207 _let_212 _let_217 _let_215 _let_220 _let_226 _let_229 _let_235 _let_242 _let_239 _let_245 _let_250 _let_248 _let_258 _let_265 _let_268 _let_270 _let_273) (SCOPE (TRANS _let_226 _let_278 _let_277 _let_276 _let_275 (CONG _let_272 (SYMM _let_261) :args _let_196) (CONG _let_272 (TRANS _let_215 _let_224 _let_222 _let_219 _let_214 _let_211 _let_256 _let_238 _let_234 _let_205 _let_202 (CONG _let_201 _let_225 :args _let_196) _let_271 (CONG (SYMM _let_225) _let_201 :args _let_196)) :args _let_196) _let_269 _let_267 _let_264 _let_263 _let_249 _let_207 (CONG _let_262 _let_261 :args _let_196) (SYMM _let_260) _let_257 _let_200 _let_215 _let_224 _let_222 _let_219 _let_214 _let_211 _let_256 _let_238 _let_234 _let_205 _let_202) :args (_let_70 _let_134 _let_138 _let_148 _let_153 _let_151 _let_53 _let_46 _let_52 _let_143 _let_144 _let_104 _let_130 _let_139 _let_133 _let_48 _let_155 _let_56 _let_63 _let_154 _let_65))) :args _let_195)) :args _let_194) :args ((or _let_71 _let_129 _let_135 _let_136 _let_152 _let_156 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184 _let_183 _let_182 _let_181 _let_180 _let_179 _let_178 _let_177))) _let_176 _let_101 _let_99 _let_174 _let_172 _let_170 _let_168 _let_166 _let_164 _let_162 _let_159 _let_93 _let_91 _let_88 _let_82 _let_79 :args ((or _let_129 _let_135 _let_136 _let_152 _let_156) true _let_120 false _let_111 false _let_153 false _let_151 false _let_53 false _let_46 false _let_126 true _let_128 false _let_112 false _let_155 false _let_65 false _let_63 false _let_144 false _let_134 false _let_143 false _let_139 false _let_154 false _let_153 false _let_151 false _let_133 false _let_131 false _let_56 false _let_53 false _let_52 false _let_48 false _let_46 true _let_127 true _let_125 false _let_74 false _let_155 false _let_65 false _let_63 false _let_144 false _let_134 false _let_143 false _let_139 false _let_154 false _let_153 false _let_151 false _let_133 false _let_131 false _let_56 false _let_53 false _let_52 false _let_48 false _let_46 false _let_71 false _let_155 false _let_65 false _let_63 false _let_144 false _let_134 false _let_143 false _let_139 false _let_154 false _let_153 false _let_151 false _let_133 false _let_56 false _let_53 false _let_52 false _let_48 false _let_46)) :args ((or _let_129 _let_135 _let_136 _let_152) false _let_145 false _let_66 false _let_63 false _let_144 false _let_134 false _let_143 false _let_141 false _let_139 false _let_151 false _let_149 false _let_133 false _let_58 false _let_56 false _let_52 false _let_48 false _let_46 false _let_74 false _let_73 false _let_72 false _let_71 true _let_148)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (tptp.sk_c1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_146)) (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_135 _let_136 (not _let_137)))) :args ((or _let_129 _let_135 _let_136) true _let_128 true _let_127 true _let_126 true _let_124 true _let_122 true _let_120 false _let_114 false _let_67 false _let_145 false _let_66 false _let_63 false _let_144 false _let_134 false _let_143 false _let_141 false _let_139 false _let_133 false _let_58 false _let_56 false _let_53 false _let_52 false _let_50 false _let_48 false _let_46 false _let_113 false _let_67 false _let_145 false _let_66 false _let_63 false _let_144 false _let_134 false _let_143 false _let_141 false _let_139 false _let_133 false _let_58 false _let_56 false _let_53 false _let_52 false _let_50 false _let_48 false _let_46 false _let_112 false _let_67 false _let_145 false _let_66 false _let_63 false _let_144 false _let_134 false _let_143 false _let_141 false _let_139 false _let_133 false _let_58 false _let_56 false _let_53 false _let_52 false _let_50 false _let_48 false _let_46 false _let_111 false _let_67 false _let_145 false _let_66 false _let_63 false _let_144 false _let_134 false _let_143 false _let_141 false _let_139 false _let_133 false _let_58 false _let_56 false _let_53 false _let_52 false _let_50 false _let_48 false _let_46 false _let_106 false _let_66 false _let_141 false _let_139 false _let_133 false _let_58 false _let_52 false _let_48 false _let_46 false _let_74 false _let_73 false _let_72 false _let_71 true _let_138 true _let_125 true _let_137)) :args ((or _let_129 _let_135) false _let_66 false _let_105 false _let_63 false _let_134 false _let_108 false _let_133 false _let_131 false _let_58 false _let_56 false _let_53 false _let_52 false _let_48 false _let_46 false _let_74 false _let_73 false _let_72 false _let_71 true _let_130)) :args (_let_129 true _let_128 true _let_127 true _let_126 true _let_125 true _let_124 true _let_122 true _let_120 true _let_117 false _let_114 false _let_66 false _let_105 false _let_63 false _let_108 false _let_58 false _let_56 false _let_53 false _let_52 false _let_48 false _let_46 false _let_113 false _let_66 false _let_105 false _let_63 false _let_108 false _let_58 false _let_56 false _let_53 false _let_52 false _let_48 false _let_46 false _let_112 false _let_66 false _let_105 false _let_63 false _let_108 false _let_58 false _let_56 false _let_53 false _let_52 false _let_48 false _let_46 false _let_111 false _let_66 false _let_105 false _let_63 false _let_108 false _let_60 false _let_107 false _let_58 false _let_56 false _let_53 false _let_52 false _let_48 false _let_46 false _let_110 false _let_66 false _let_105 false _let_63 false _let_108 false _let_60 false _let_107 false _let_58 false _let_56 false _let_53 false _let_52 false _let_48 false _let_46 false _let_106 false _let_66 false _let_105 false _let_63 false _let_58 false _let_56 false _let_53 false _let_52 false _let_48 false _let_46 false _let_74 false _let_73 false _let_72 false _let_71 true _let_104)))) (let ((_let_535 (not _let_69))) (let ((_let_536 (not _let_68))) (let ((_let_537 (ASSUME :args (_let_113)))) (let ((_let_538 (SYMM _let_249))) (let ((_let_539 (SYMM _let_537))) (let ((_let_540 (ASSUME :args _let_388))) (let ((_let_541 (ASSUME :args (_let_69)))) (let ((_let_542 (SYMM _let_541))) (let ((_let_543 (CONG _let_390 _let_201 :args _let_196))) (let ((_let_544 (TRANS _let_471 _let_543))) (let ((_let_545 (CONG _let_272 (TRANS (SYMM _let_543) _let_470 _let_220 (CONG _let_544 _let_491 :args _let_196)) :args _let_196))) (let ((_let_546 (SYMM _let_471))) (let ((_let_547 (CONG _let_443 _let_201 :args _let_196))) (let ((_let_548 (TRANS _let_547 _let_546))) (let ((_let_549 (CONG _let_201 _let_548 :args _let_196))) (let ((_let_550 (ASSUME :args (_let_68)))) (let ((_let_551 (SYMM _let_550))) (let ((_let_552 (SYMM _let_551))) (let ((_let_553 (CONG _let_405 _let_201 :args _let_196))) (let ((_let_554 (CONG (TRANS _let_226 _let_278 _let_277 _let_430 _let_411 _let_447 _let_553 _let_552 _let_549) _let_201 :args _let_196))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_248 (MODUS_PONENS (AND_INTRO _let_403 _let_226 _let_220 _let_406 _let_409 _let_415 _let_412 _let_550 _let_389 _let_469 _let_248 _let_265 _let_268 _let_541) (SCOPE (TRANS _let_248 _let_334 _let_333 _let_332 _let_268 _let_545 _let_542 _let_493 (CONG _let_201 _let_544 :args _let_196) _let_551 (CONG _let_404 _let_201 :args _let_196) _let_418 _let_410 _let_474 _let_324 _let_323 _let_227 _let_405) :args (_let_71 _let_52 _let_46 _let_58 _let_66 _let_73 _let_72 _let_68 _let_74 _let_50 _let_48 _let_56 _let_63 _let_69))) _let_403 (MODUS_PONENS (AND_INTRO _let_248 _let_516 _let_469 _let_389 _let_550 _let_403 _let_415 _let_412 _let_409 _let_406 _let_226 _let_220) (SCOPE (TRANS _let_226 _let_278 _let_277 _let_430 _let_411 _let_447 _let_554 _let_517 _let_515) :args (_let_48 _let_60 _let_50 _let_74 _let_68 _let_71 _let_73 _let_72 _let_66 _let_58 _let_52 _let_46))) (MODUS_PONENS (AND_INTRO _let_248 _let_516 _let_469 _let_389 _let_550 _let_403 _let_415 _let_412 _let_409 _let_406 _let_226 _let_220 _let_265 _let_273 _let_466 _let_215 _let_268 _let_541) (SCOPE (TRANS _let_215 _let_224 _let_222 _let_472 _let_468 (CONG _let_390 (TRANS _let_404 _let_226 _let_278 _let_277 _let_430 _let_411 _let_447 _let_553 _let_552 _let_549 (CONG (TRANS _let_248 _let_334 _let_333 _let_332 _let_268) _let_491 :args _let_196) (SYMM _let_542) (CONG _let_272 (TRANS (CONG _let_548 _let_491 :args _let_196) _let_221 _let_471 (SYMM _let_547)) :args _let_196) _let_269 _let_267 _let_296 _let_295 _let_249) :args _let_196) _let_547 _let_546 _let_265 (CONG _let_272 (TRANS _let_215 _let_224 _let_222 _let_472 _let_468 (CONG _let_390 _let_404 :args _let_196)) :args _let_196) _let_274 _let_325 _let_430 _let_411 _let_447 _let_554 _let_517 _let_515) :args (_let_48 _let_60 _let_50 _let_74 _let_68 _let_71 _let_73 _let_72 _let_66 _let_58 _let_52 _let_46 _let_56 _let_65 _let_67 _let_53 _let_63 _let_69))) (MODUS_PONENS (AND_INTRO _let_248 _let_220 _let_265 _let_268 _let_226 _let_273 _let_389 _let_403 _let_466 _let_469 _let_215 _let_541) (SCOPE (TRANS _let_248 _let_334 _let_333 _let_332 _let_268 _let_545 _let_542 (CONG _let_492 (TRANS _let_265 (CONG _let_272 (TRANS _let_215 _let_224 _let_222 _let_472 _let_468 (CONG _let_390 _let_459 :args _let_196)) :args _let_196) _let_274 _let_325 _let_324 _let_323 _let_227) :args _let_196)) :args (_let_48 _let_46 _let_56 _let_63 _let_52 _let_65 _let_74 _let_71 _let_67 _let_50 _let_53 _let_69))) _let_540) :args (_let_71 _let_72 _let_73 _let_74 _let_129 _let_46 _let_48 _let_50 _let_52 _let_53 _let_56 _let_58 _let_60 _let_63 _let_65 _let_66 _let_67 _let_68 _let_69)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_540)) (TRUE_INTRO (TRANS (TRANS (SYMM (SYMM (ASSUME :args (_let_111)))) _let_455 _let_405 _let_539) _let_538 (SYMM (TRANS _let_455 _let_405 _let_539 _let_538)) (SYMM (TRANS (SYMM (ASSUME :args (_let_114))) _let_537 _let_404 _let_454)))))) :args (_let_48 _let_113 _let_71 _let_110 _let_111 _let_114 _let_129)) :args ((not (and _let_71 _let_72 _let_73 _let_74 _let_129 _let_46 _let_48 _let_50 _let_52 _let_53 _let_56 _let_58 _let_60 _let_63 _let_65 _let_66 _let_67 _let_68 _let_69)) SB_LITERAL))) (CONG _let_387 _let_386 _let_385 _let_384 (MACRO_SR_PRED_INTRO :args ((= (not _let_129) _let_70))) _let_383 _let_382 (REFL :args (_let_450)) _let_381 (REFL :args (_let_189)) _let_380 _let_379 (REFL :args (_let_510)) _let_378 (REFL :args (_let_178)) _let_377 (REFL :args (_let_449)) (REFL :args (_let_536)) (REFL :args (_let_535)) :args _let_376)) :args ((or _let_70 _let_375 _let_374 _let_373 _let_372 _let_192 _let_191 _let_450 _let_190 _let_189 _let_188 _let_371 _let_510 _let_179 _let_178 _let_368 _let_449 _let_536 _let_535))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_38)) (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT))) _let_534 :args (_let_74 true _let_70)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))) _let_534 :args (_let_73 true _let_70)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))) _let_534 :args (_let_72 true _let_70)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))) _let_534 :args (_let_71 true _let_70)) _let_534 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_54 _let_61 tptp.identity QUANTIFIERS_INST_CBQI_PROP)) :args _let_95)) _let_96 :args (_let_69 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk_c6 tptp.sk_c5 tptp.sk_c6 QUANTIFIERS_INST_CBQI_PROP)) :args _let_95)) _let_96 :args (_let_68 false _let_42)) _let_103 _let_102 _let_101 _let_99 _let_97 _let_94 _let_93 _let_91 _let_88 _let_86 _let_82 _let_79 :args (false false _let_74 false _let_73 false _let_72 false _let_71 true _let_70 false _let_69 false _let_68 false _let_67 false _let_66 false _let_65 false _let_63 false _let_60 false _let_58 false _let_56 false _let_53 false _let_52 false _let_50 false _let_48 false _let_46)) :args (_let_44 _let_43 _let_42 _let_41 _let_40 _let_39 _let_38 (or _let_37 _let_5) (or _let_37 _let_2) _let_35 _let_34 _let_33 _let_32 (or _let_31 _let_5) (or _let_31 _let_2) _let_29 _let_28 _let_27 _let_26 (or _let_25 _let_5) (or _let_25 _let_2) _let_23 _let_22 _let_21 _let_20 (or _let_19 _let_5) (or _let_19 _let_2) _let_17 _let_14 _let_11 _let_8 (or _let_4 _let_5) (or _let_4 _let_2) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.80/11.17  )
% 10.80/11.17  % SZS output end Proof for GRP345-1
% 10.80/11.17  % cvc5---1.0.5 exiting
% 10.80/11.18  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------