TSTP Solution File: GRP389-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP389-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n017.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 00:25:54 EDT 2023

% Result   : Unsatisfiable 21.49s 21.77s
% Output   : Proof 21.49s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP389-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Mon Aug 28 22:09:28 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.p3FbzZxZHn/cvc5---1.0.5_7813.p...
% 0.21/0.51  ------- get file name : TPTP file name is GRP389-1
% 0.21/0.52  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7813.smt2...
% 0.21/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.69/10.91  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.59/15.95  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.75/20.97  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 21.49/21.77  % SZS status Unsatisfiable for GRP389-1
% 21.49/21.77  % SZS output start Proof for GRP389-1
% 21.49/21.78  (
% 21.49/21.78  (let ((_let_1 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X7 $$unsorted) (X8 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c11)) (not (= (tptp.multiply X4 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.multiply X5 X6) tptp.sk_c10)) (not (= (tptp.inverse X5) X6)) (not (= (tptp.multiply X6 tptp.sk_c9) tptp.sk_c10)) (not (= (tptp.multiply X1 tptp.sk_c11) tptp.sk_c10)) (not (= (tptp.inverse X1) tptp.sk_c11)) (not (= (tptp.multiply X2 tptp.sk_c10) tptp.sk_c9)) (not (= (tptp.inverse X2) tptp.sk_c10)) (not (= (tptp.inverse X3) tptp.sk_c11)) (not (= (tptp.multiply X3 tptp.sk_c10) tptp.sk_c11)) (not (= (tptp.multiply X7 X8) tptp.sk_c10)) (not (= (tptp.inverse X7) X8)) (not (= (tptp.multiply X8 tptp.sk_c9) tptp.sk_c10)))))) (let ((_let_2 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (let ((_let_3 (= _let_2 tptp.sk_c10))) (let ((_let_4 (tptp.multiply tptp.sk_c3 tptp.sk_c9))) (let ((_let_5 (= _let_4 tptp.sk_c10))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (tptp.inverse tptp.sk_c7))) (let ((_let_8 (= _let_7 tptp.sk_c8))) (let ((_let_9 (or _let_5 _let_8))) (let ((_let_10 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (let ((_let_11 (= _let_10 tptp.sk_c10))) (let ((_let_12 (or _let_5 _let_11))) (let ((_let_13 (tptp.multiply tptp.sk_c6 tptp.sk_c10))) (let ((_let_14 (= _let_13 tptp.sk_c11))) (let ((_let_15 (tptp.inverse tptp.sk_c6))) (let ((_let_16 (= _let_15 tptp.sk_c11))) (let ((_let_17 (tptp.inverse tptp.sk_c5))) (let ((_let_18 (= _let_17 tptp.sk_c10))) (let ((_let_19 (or _let_5 _let_18))) (let ((_let_20 (tptp.multiply tptp.sk_c5 tptp.sk_c10))) (let ((_let_21 (= _let_20 tptp.sk_c9))) (let ((_let_22 (or _let_5 _let_21))) (let ((_let_23 (tptp.inverse tptp.sk_c4))) (let ((_let_24 (= _let_23 tptp.sk_c11))) (let ((_let_25 (or _let_5 _let_24))) (let ((_let_26 (tptp.multiply tptp.sk_c4 tptp.sk_c11))) (let ((_let_27 (= _let_26 tptp.sk_c10))) (let ((_let_28 (or _let_5 _let_27))) (let ((_let_29 (tptp.inverse tptp.sk_c2))) (let ((_let_30 (= _let_29 tptp.sk_c3))) (let ((_let_31 (or _let_30 _let_3))) (let ((_let_32 (or _let_30 _let_8))) (let ((_let_33 (or _let_30 _let_11))) (let ((_let_34 (or _let_30 _let_18))) (let ((_let_35 (or _let_30 _let_21))) (let ((_let_36 (or _let_30 _let_24))) (let ((_let_37 (or _let_30 _let_27))) (let ((_let_38 (tptp.multiply tptp.sk_c2 tptp.sk_c3))) (let ((_let_39 (= _let_38 tptp.sk_c10))) (let ((_let_40 (or _let_39 _let_3))) (let ((_let_41 (or _let_39 _let_8))) (let ((_let_42 (or _let_39 _let_11))) (let ((_let_43 (or _let_39 _let_18))) (let ((_let_44 (or _let_39 _let_21))) (let ((_let_45 (or _let_39 _let_24))) (let ((_let_46 (or _let_39 _let_27))) (let ((_let_47 (tptp.multiply tptp.sk_c1 tptp.sk_c10))) (let ((_let_48 (= _let_47 tptp.sk_c11))) (let ((_let_49 (or _let_48 _let_3))) (let ((_let_50 (or _let_48 _let_8))) (let ((_let_51 (or _let_48 _let_11))) (let ((_let_52 (or _let_48 _let_14))) (let ((_let_53 (or _let_48 _let_16))) (let ((_let_54 (or _let_48 _let_18))) (let ((_let_55 (or _let_48 _let_21))) (let ((_let_56 (or _let_48 _let_24))) (let ((_let_57 (or _let_48 _let_27))) (let ((_let_58 (tptp.inverse tptp.sk_c1))) (let ((_let_59 (= _let_58 tptp.sk_c11))) (let ((_let_60 (or _let_59 _let_3))) (let ((_let_61 (or _let_59 _let_8))) (let ((_let_62 (or _let_59 _let_11))) (let ((_let_63 (or _let_59 _let_14))) (let ((_let_64 (or _let_59 _let_16))) (let ((_let_65 (or _let_59 _let_18))) (let ((_let_66 (or _let_59 _let_21))) (let ((_let_67 (or _let_59 _let_24))) (let ((_let_68 (or _let_59 _let_27))) (let ((_let_69 (tptp.inverse tptp.sk_c10))) (let ((_let_70 (= _let_69 tptp.sk_c9))) (let ((_let_71 (or _let_70 _let_3))) (let ((_let_72 (or _let_70 _let_8))) (let ((_let_73 (or _let_70 _let_11))) (let ((_let_74 (or _let_70 _let_18))) (let ((_let_75 (or _let_70 _let_21))) (let ((_let_76 (or _let_70 _let_24))) (let ((_let_77 (or _let_70 _let_27))) (let ((_let_78 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_79 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_80 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_81 (tptp.multiply tptp.identity tptp.sk_c10))) (let ((_let_82 (= tptp.sk_c10 _let_81))) (let ((_let_83 (tptp.multiply _let_69 tptp.sk_c10))) (let ((_let_84 (= tptp.identity _let_83))) (let ((_let_85 (= tptp.sk_c11 (tptp.multiply tptp.identity tptp.sk_c11)))) (let ((_let_86 (= (tptp.multiply _let_26 tptp.sk_c10) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c11 tptp.sk_c10))))) (let ((_let_87 (tptp.multiply tptp.sk_c10 tptp.sk_c10))) (let ((_let_88 (= (tptp.multiply _let_83 tptp.sk_c10) (tptp.multiply _let_69 _let_87)))) (let ((_let_89 (= tptp.sk_c10 _let_26))) (let ((_let_90 (= tptp.sk_c11 _let_23))) (let ((_let_91 (= tptp.sk_c10 _let_17))) (let ((_let_92 (= (tptp.multiply (tptp.multiply tptp.sk_c11 tptp.sk_c4) tptp.sk_c11) (tptp.multiply tptp.sk_c11 _let_26)))) (let ((_let_93 (= tptp.identity (tptp.multiply _let_23 tptp.sk_c4)))) (let ((_let_94 (= tptp.sk_c10 (tptp.multiply tptp.sk_c5 _let_17)))) (let ((_let_95 (= tptp.identity (tptp.multiply _let_17 tptp.sk_c5)))) (let ((_let_96 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (let ((_let_97 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_80)) (MACRO_SR_EQ_INTRO :args (_let_80 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (_let_97))) (let ((_let_100 (tptp.sk_c10 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_101 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args _let_100) :args _let_99)))) (let ((_let_102 (MACRO_RESOLUTION_TRUST _let_101 _let_98 :args (_let_82 false _let_97)))) (let ((_let_103 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_79)) (MACRO_SR_EQ_INTRO :args (_let_79 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (_let_103))) (let ((_let_106 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args _let_100) :args _let_105)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST _let_106 _let_104 :args (_let_84 false _let_103)))) (let ((_let_108 (tptp.sk_c11 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_109 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args _let_108) :args _let_99)))) (let ((_let_110 (MACRO_RESOLUTION_TRUST _let_109 _let_98 :args (_let_85 false _let_97)))) (let ((_let_111 (_let_78))) (let ((_let_112 (ASSUME :args _let_111))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.sk_c4 tptp.sk_c11 tptp.sk_c10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_111)) _let_112 :args (_let_86 false _let_78)))) (let ((_let_114 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (_let_69 tptp.sk_c10 tptp.sk_c10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_111)))) (let ((_let_115 (MACRO_RESOLUTION_TRUST _let_114 _let_112 :args (_let_88 false _let_78)))) (let ((_let_116 (= tptp.sk_c9 _let_69))) (let ((_let_117 (= tptp.sk_c11 _let_47))) (let ((_let_118 (= tptp.sk_c11 _let_58))) (let ((_let_119 (= tptp.sk_c9 _let_20))) (let ((_let_120 (= tptp.sk_c11 _let_15))) (let ((_let_121 (= tptp.sk_c11 _let_13))) (let ((_let_122 (= tptp.sk_c10 _let_10))) (let ((_let_123 (= tptp.sk_c8 _let_7))) (let ((_let_124 (= tptp.sk_c10 _let_2))) (let ((_let_125 (not _let_90))) (let ((_let_126 (not _let_89))) (let ((_let_127 (or _let_126 _let_125))) (let ((_let_128 (not _let_91))) (let ((_let_129 (not _let_119))) (let ((_let_130 (or _let_129 _let_128))) (let ((_let_131 (not _let_121))) (let ((_let_132 (not _let_120))) (let ((_let_133 (or _let_132 _let_131))) (let ((_let_134 (= tptp.sk_c10 (tptp.multiply _let_7 tptp.sk_c9)))) (let ((_let_135 (not _let_134))) (let ((_let_136 (= tptp.sk_c10 (tptp.multiply tptp.sk_c7 _let_7)))) (let ((_let_137 (not _let_136))) (let ((_let_138 (or _let_137 _let_135))) (let ((_let_139 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c10 (tptp.multiply X1 tptp.sk_c11))) (not (= tptp.sk_c11 (tptp.inverse X1))))))) (let ((_let_140 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X2 tptp.sk_c10))) (not (= tptp.sk_c10 (tptp.inverse X2))))))) (let ((_let_141 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.inverse X4))) (not (= tptp.sk_c11 (tptp.multiply X4 tptp.sk_c10))))))) (let ((_let_142 (forall ((X5 $$unsorted)) (let ((_let_1 (tptp.inverse X5))) (or (not (= tptp.sk_c10 (tptp.multiply X5 _let_1))) (not (= tptp.sk_c10 (tptp.multiply _let_1 tptp.sk_c9)))))))) (let ((_let_143 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c11 (tptp.inverse X3))) (not (= tptp.sk_c11 (tptp.multiply X3 tptp.sk_c10))))))) (let ((_let_144 (forall ((X7 $$unsorted)) (let ((_let_1 (tptp.inverse X7))) (or (not (= tptp.sk_c10 (tptp.multiply X7 _let_1))) (not (= tptp.sk_c10 (tptp.multiply _let_1 tptp.sk_c9)))))))) (let ((_let_145 (not _let_116))) (let ((_let_146 (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_126 _let_125 (not _let_127)))))) (let ((_let_147 (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_129 _let_128 (not _let_130)))))) (let ((_let_148 (not _let_138))) (let ((_let_149 (and _let_123 _let_124))) (let ((_let_150 (_let_123 _let_124))) (let ((_let_151 (APPLY_UF tptp.multiply))) (let ((_let_152 (REFL :args (tptp.sk_c9)))) (let ((_let_153 (ASSUME :args (_let_123)))) (let ((_let_154 (SYMM (SYMM _let_153)))) (let ((_let_155 (ASSUME :args (_let_124)))) (let ((_let_156 (and _let_122 _let_123))) (let ((_let_157 (ASSUME :args (_let_122)))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_137 _let_135 _let_148))) (RESOLUTION (CNF_AND_NEG :args (_let_156)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_153 _let_157) (SCOPE (TRANS (SYMM (SYMM _let_157)) (CONG (REFL :args (tptp.sk_c7)) _let_154 :args _let_151)) :args (_let_123 _let_122))) :args (_let_122 _let_123))) :args (true _let_156)) (RESOLUTION (CNF_AND_NEG :args (_let_149)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_153 _let_155) (SCOPE (TRANS (SYMM (SYMM _let_155)) (CONG _let_154 _let_152 :args _let_151)) :args _let_150)) :args _let_150)) :args (true _let_149)) :args ((or (not _let_122) (not _let_123) (not _let_124) _let_148) false _let_136 false _let_134)))) (let ((_let_159 (_let_139))) (let ((_let_160 (ASSUME :args _let_159))) (let ((_let_161 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_160 :args (tptp.sk_c4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_159)))) (let ((_let_162 (_let_140))) (let ((_let_163 (tptp.sk_c5 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_164 (ASSUME :args _let_162))) (let ((_let_165 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args _let_163) :args _let_162)))) (let ((_let_166 (_let_142))) (let ((_let_167 (ASSUME :args _let_166))) (let ((_let_168 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (tptp.sk_c7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_166)))) (let ((_let_169 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_142 (= X5 X7)))))) (let ((_let_170 (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_132 _let_131 (not _let_133)))))) (let ((_let_171 (_let_141))) (let ((_let_172 (ASSUME :args _let_171))) (let ((_let_173 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args (tptp.sk_c6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_171)))) (let ((_let_174 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_141 (= X4 X3)))))) (let ((_let_175 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_145 _let_141 _let_139 _let_140 _let_143 _let_142 _let_144))))) (let ((_let_176 (not _let_117))) (let ((_let_177 (not _let_118))) (let ((_let_178 (or _let_177 _let_176))) (let ((_let_179 (= tptp.sk_c10 _let_4))) (let ((_let_180 (= tptp.sk_c3 _let_29))) (let ((_let_181 (= tptp.sk_c10 _let_38))) (let ((_let_182 (REORDERING (CNF_OR_POS :args (_let_178)) :args ((or _let_177 _let_176 (not _let_178)))))) (let ((_let_183 (tptp.sk_c1 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_184 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args _let_183) :args _let_171)))) (let ((_let_185 (= tptp.sk_c10 tptp.sk_c9))) (let ((_let_186 (tptp.inverse tptp.sk_c11))) (let ((_let_187 (tptp.multiply _let_186 tptp.sk_c11))) (let ((_let_188 (= tptp.identity _let_187))) (let ((_let_189 (tptp.multiply tptp.identity tptp.sk_c1))) (let ((_let_190 (= tptp.sk_c1 _let_189))) (let ((_let_191 (tptp.multiply tptp.sk_c11 tptp.sk_c1))) (let ((_let_192 (tptp.multiply _let_47 tptp.sk_c11))) (let ((_let_193 (= (tptp.multiply (tptp.multiply _let_192 tptp.sk_c11) tptp.sk_c1) (tptp.multiply _let_192 _let_191)))) (let ((_let_194 (tptp.multiply tptp.sk_c1 tptp.sk_c11))) (let ((_let_195 (tptp.multiply tptp.sk_c11 _let_194))) (let ((_let_196 (= (tptp.multiply _let_191 tptp.sk_c11) _let_195))) (let ((_let_197 (tptp.multiply tptp.sk_c11 tptp.sk_c11))) (let ((_let_198 (= (tptp.multiply _let_197 tptp.sk_c11) (tptp.multiply tptp.sk_c11 _let_197)))) (let ((_let_199 (= (tptp.multiply _let_197 tptp.sk_c1) (tptp.multiply tptp.sk_c11 _let_191)))) (let ((_let_200 (= (tptp.multiply (tptp.multiply tptp.sk_c11 _let_192) tptp.sk_c1) (tptp.multiply tptp.sk_c11 (tptp.multiply _let_192 tptp.sk_c1))))) (let ((_let_201 (tptp.multiply _let_58 tptp.sk_c1))) (let ((_let_202 (= tptp.identity _let_201))) (let ((_let_203 (= (tptp.multiply _let_189 tptp.sk_c11) (tptp.multiply tptp.identity _let_194)))) (let ((_let_204 (tptp.multiply tptp.sk_c2 tptp.sk_c10))) (let ((_let_205 (tptp.multiply tptp.sk_c10 _let_204))) (let ((_let_206 (= (tptp.multiply (tptp.multiply tptp.sk_c10 tptp.sk_c2) tptp.sk_c10) _let_205))) (let ((_let_207 (= tptp.identity (tptp.multiply _let_29 tptp.sk_c2)))) (let ((_let_208 (= (tptp.multiply _let_38 tptp.sk_c2) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c3 tptp.sk_c2))))) (let ((_let_209 (= (tptp.multiply (tptp.multiply tptp.sk_c2 tptp.identity) tptp.sk_c10) (tptp.multiply tptp.sk_c2 _let_81)))) (let ((_let_210 (= (tptp.multiply _let_201 tptp.sk_c10) (tptp.multiply _let_58 _let_47)))) (let ((_let_211 (= (tptp.multiply _let_38 _let_191) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c3 _let_191))))) (let ((_let_212 (= (tptp.multiply _let_38 tptp.sk_c9) (tptp.multiply tptp.sk_c2 _let_4)))) (let ((_let_213 (tptp.multiply _let_204 tptp.sk_c10))) (let ((_let_214 (= (tptp.multiply _let_205 tptp.sk_c10) (tptp.multiply tptp.sk_c10 _let_213)))) (let ((_let_215 (= _let_213 (tptp.multiply tptp.sk_c2 _let_87)))) (let ((_let_216 (= (tptp.multiply _let_187 _let_194) (tptp.multiply _let_186 _let_195)))) (let ((_let_217 (= (tptp.multiply _let_4 tptp.sk_c10) (tptp.multiply tptp.sk_c3 (tptp.multiply tptp.sk_c9 tptp.sk_c10))))) (let ((_let_218 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (let ((_let_219 (not _let_179))) (let ((_let_220 (not _let_180))) (let ((_let_221 (not _let_181))) (let ((_let_222 (= tptp.sk_c10 _let_194))) (let ((_let_223 (not _let_222))) (let ((_let_224 (or _let_223 _let_177))) (let ((_let_225 (= tptp.sk_c10 (tptp.multiply _let_29 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_let_281) :args _let_151) _let_289 _let_410 _let_300) :args _let_151))) (let ((_let_412 (CONG _let_331 (SYMM _let_409) :args _let_151))) (let ((_let_413 (CONG _let_338 _let_409 :args _let_151))) (let ((_let_414 (CONG _let_342 (TRANS _let_310 _let_305 _let_294 (SYMM _let_408)) :args _let_151))) (let ((_let_415 (CONG _let_349 (TRANS _let_348 _let_344 _let_414) :args _let_151))) (let ((_let_416 (SYMM _let_371))) (let ((_let_417 (SYMM _let_369))) (let ((_let_418 (SYMM _let_359))) (let ((_let_419 (SYMM _let_415))) (let ((_let_420 (SYMM _let_413))) (let ((_let_421 (SYMM _let_412))) (let ((_let_422 (SYMM _let_411))) (let ((_let_423 (SYMM _let_310))) (let ((_let_424 (MODUS_PONENS (AND_INTRO _let_311 _let_304 _let_375 _let_307 _let_345 _let_294 _let_314 _let_291 _let_316 _let_299 _let_288 _let_280 _let_282 _let_284 _let_286 _let_319 _let_328 _let_332 _let_334 _let_337 _let_340 _let_343 _let_351 _let_370 _let_368 _let_364 _let_360 _let_358 _let_355) (SCOPE (TRANS _let_304 _let_423 (CONG _let_309 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_let_118 false _let_117)))) (let ((_let_447 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_77)) (MACRO_SR_EQ_INTRO :args (_let_77 SB_DEFAULT SBA_FIXPOINT))) _let_446 :args (_let_89 true _let_116)))) (let ((_let_448 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_76)) (MACRO_SR_EQ_INTRO :args (_let_76 SB_DEFAULT SBA_FIXPOINT))) _let_446 :args (_let_90 true _let_116)))) (let ((_let_449 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_74)) (MACRO_SR_EQ_INTRO :args (_let_74 SB_DEFAULT SBA_FIXPOINT))) _let_446 :args (_let_91 true _let_116)))) (let ((_let_450 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.sk_c11 tptp.sk_c4 tptp.sk_c11 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_111)) _let_112 :args (_let_92 false _let_78)))) (let ((_let_451 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.sk_c4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_105)) _let_104 :args (_let_93 false _let_103)))) (let ((_let_452 (not _let_94))) (let ((_let_453 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_454 (= tptp.identity (tptp.multiply _let_453 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_455 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_456 (tptp.multiply _let_453 tptp.sk_c10))) (let ((_let_457 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_456))) (let ((_let_458 (= (tptp.multiply _let_457 _let_453) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.multiply _let_456 _let_453))))) (let ((_let_459 (= _let_453 (tptp.multiply tptp.identity _let_453)))) (let ((_let_460 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_453))) (let ((_let_461 (= (tptp.multiply _let_460 tptp.sk_c10) _let_457))) (let ((_let_462 (= tptp.sk_c10 (tptp.multiply _let_453 tptp.sk_c9)))) (let ((_let_463 (= tptp.sk_c10 _let_460))) (let ((_let_464 (not _let_462))) (let ((_let_465 (not _let_463))) (let ((_let_466 (or _let_465 _let_464))) (let ((_let_467 (not _let_466))) (let ((_let_468 (not _let_142))) (let ((_let_469 (_let_468))) (let ((_let_470 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_469)) :args _let_469)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_468) _let_142))) (REFL :args (_let_467)) :args _let_429)) (MACRO_RESOLUTION_TRUST _let_168 (MACRO_RESOLUTION_TRUST _let_158 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_72)) (MACRO_SR_EQ_INTRO :args (_let_72 SB_DEFAULT SBA_FIXPOINT))) _let_446 :args (_let_123 true _let_116)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_73)) (MACRO_SR_EQ_INTRO :args (_let_73 SB_DEFAULT SBA_FIXPOINT))) _let_446 :args (_let_122 true _let_116)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_71)) (MACRO_SR_EQ_INTRO :args (_let_71 SB_DEFAULT SBA_FIXPOINT))) _let_446 :args (_let_124 true _let_116)) :args (_let_148 false _let_123 false _let_122 false _let_124)) :args (_let_468 true _let_138)) :args (_let_467 true _let_142)))) (let ((_let_471 (REFL :args (_let_466)))) (let ((_let_472 (not _let_454))) (let ((_let_473 (not _let_93))) (let ((_let_474 (not _let_455))) (let ((_let_475 (not _let_92))) (let ((_let_476 (not _let_458))) (let ((_let_477 (not _let_459))) (let ((_let_478 (not _let_461))) (let ((_let_479 (not _let_86))) (let ((_let_480 (= tptp.sk_c10 (tptp.inverse tptp.identity)))) (let ((_let_481 (not _let_480))) (let ((_let_482 (ASSUME :args (_let_89)))) (let ((_let_483 (SYMM _let_482))) (let ((_let_484 (ASSUME :args (_let_93)))) (let ((_let_485 (SYMM _let_484))) (let ((_let_486 (SYMM _let_485))) (let ((_let_487 (REFL :args (tptp.sk_c4)))) (let ((_let_488 (ASSUME :args (_let_90)))) (let ((_let_489 (SYMM _let_488))) (let ((_let_490 (CONG (SYMM _let_489) _let_487 :args _let_151))) (let ((_let_491 (ASSUME :args (_let_92)))) (let ((_let_492 (SYMM _let_491))) (let ((_let_493 (SYMM _let_492))) (let ((_let_494 (CONG _let_279 _let_482 :args _let_151))) (let ((_let_495 (CONG _let_487 (TRANS _let_494 (SYMM _let_493) (CONG (TRANS _let_490 (SYMM _let_486)) _let_279 :args _let_151) (SYMM _let_301)) :args _let_151))) (let ((_let_496 (ASSUME :args (_let_86)))) (let ((_let_497 (SYMM _let_496))) (let ((_let_498 (SYMM _let_497))) (let ((_let_499 (CONG _let_482 _let_306 :args _let_151))) (let ((_let_500 (REFL :args (_let_69)))) (let ((_let_501 (CONG _let_500 (TRANS _let_499 _let_498 _let_495 _let_483) :args _let_151))) (let ((_let_502 (TRANS _let_436 _let_378 _let_377 _let_501 _let_305))) (let ((_let_503 (ASSUME :args (_let_454)))) (let ((_let_504 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_505 (ASSUME :args (_let_459)))) (let ((_let_506 (SYMM _let_505))) (let ((_let_507 (REFL :args (_let_453)))) (let ((_let_508 (ASSUME :args (_let_463)))) (let ((_let_509 (ASSUME :args (_let_461)))) (let ((_let_510 (CONG (TRANS (TRANS (SYMM _let_509) (CONG (SYMM _let_508) _let_306 :args _let_151) _let_499 _let_498 _let_495 _let_483) _let_502) _let_507 :args _let_151))) (let ((_let_511 (ASSUME :args (_let_458)))) (let ((_let_512 (SYMM _let_511))) (let ((_let_513 (ASSUME :args (_let_462)))) (let ((_let_514 (SYMM _let_502))) (let ((_let_515 (CONG _let_504 (TRANS _let_505 (CONG (TRANS _let_514 (TRANS (SYMM (SYMM _let_513)) (CONG _let_507 (SYMM _let_428) :args _let_151))) _let_507 :args _let_151)) :args _let_151))) (let ((_let_516 (ASSUME :args (_let_455)))) (let ((_let_517 (ASSUME :args _let_435))) (let ((_let_518 (=))) (let ((_let_519 (and _let_119 _let_91 _let_235))) (let ((_let_520 (ASSUME :args (_let_119)))) (let ((_let_521 (ASSUME :args (_let_91)))) (let ((_let_522 (SYMM _let_521))) (let ((_let_523 (SYMM _let_522))) (let ((_let_524 (REFL :args (tptp.sk_c5)))) (let ((_let_525 (and _let_89 _let_90 _let_91 _let_82 _let_84 _let_85 _let_86 _let_88 _let_92 _let_93 _let_95 _let_96))) (let ((_let_526 (ASSUME :args (_let_96)))) (let ((_let_527 (CONG _let_500 (TRANS _let_499 _let_498 (CONG _let_487 (TRANS _let_494 _let_492 (CONG (TRANS _let_490 _let_485) _let_279 :args _let_151) _let_300) :args _let_151) _let_483) :args _let_151))) (let ((_let_528 (TRANS _let_436 _let_378 _let_377 _let_527 _let_305))) (let ((_let_529 (ASSUME :args (_let_95)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_525)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_526 _let_304 _let_482 _let_299 _let_484 _let_488 _let_491 _let_496 _let_375 _let_311 _let_521 _let_529) (SCOPE (TRANS _let_436 (CONG (TRANS (SYMM _let_528) (TRANS _let_436 _let_378 _let_377 _let_527 _let_305 (SYMM (SYMM _let_529)) (CONG (TRANS _let_522 _let_528) _let_524 :args _let_151) (SYMM _let_526))) _let_523 :args _let_151)) :args (_let_96 _let_84 _let_89 _let_85 _let_93 _let_90 _let_92 _let_86 _let_88 _let_82 _let_91 _let_95))) :args (_let_89 _let_90 _let_91 _let_82 _let_84 _let_85 _let_86 _let_88 _let_92 _let_93 _let_95 _let_96))) :args (true _let_525)) :args ((or _let_126 _let_125 _let_128 _let_277 _let_276 _let_275 _let_479 _let_262 _let_94 _let_475 _let_473 (not _let_95) (not _let_96)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args _let_163) :args _let_99)) _let_98 :args (_let_96 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.sk_c5 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_105)) _let_104 :args (_let_95 false _let_103)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_519)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_438 _let_520 _let_521) (SCOPE (FALSE_ELIM (TRANS (CONG _let_306 (TRANS (CONG _let_524 (SYMM _let_523) :args _let_151) (SYMM _let_520)) :args _let_518) _let_439)) :args (_let_235 _let_119 _let_91))) :args (_let_119 _let_91 _let_235))) :args (true _let_519)) (CONG (REFL :args (_let_129)) (REFL :args (_let_128)) _let_434 (REFL :args (_let_452)) :args _let_429)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_75)) (MACRO_SR_EQ_INTRO :args (_let_75 SB_DEFAULT SBA_FIXPOINT))) _let_446 :args (_let_119 true _let_116)) _let_449 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_517 _let_405 _let_311 _let_304 _let_375 _let_482 _let_496 _let_491 _let_488 _let_484 _let_299) (SCOPE (FALSE_ELIM (TRANS (CONG _let_428 (CONG (TRANS _let_304 (CONG _let_500 (TRANS _let_482 (CONG _let_487 (TRANS _let_301 (CONG (TRANS _let_486 (CONG _let_489 _let_487 :args _let_151)) _let_279 :args _let_151) _let_493 (CONG _let_279 _let_483 :args _let_151)) :args _let_151) _let_497 (CONG _let_483 _let_306 :args _let_151)) :args _let_151) _let_376 _let_407 _let_312) :args _let_427) :args _let_518) (FALSE_INTRO _let_517))) :args (_let_145 _let_185 _let_82 _let_84 _let_88 _let_89 _let_86 _let_92 _let_90 _let_93 _let_85))) (MODUS_PONENS (AND_INTRO _let_304 _let_482 _let_299 _let_484 _let_488 _let_491 _let_496 _let_375 _let_311 _let_503 _let_505 _let_508 _let_509 _let_511 _let_405 _let_513 _let_516) (SCOPE (TRANS _let_508 _let_515 _let_512 _let_510 _let_506 (CONG (TRANS (SYMM (SYMM _let_516)) (CONG (TRANS _let_514 (TRANS _let_508 _let_515 _let_512 _let_510 _let_506)) _let_504 :args _let_151) (SYMM _let_503) _let_304 (SYMM _let_501) _let_376 _let_444 _let_312) :args _let_427) (CONG _let_502 :args _let_427)) :args (_let_84 _let_89 _let_85 _let_93 _let_90 _let_92 _let_86 _let_88 _let_82 _let_454 _let_459 _let_463 _let_461 _let_458 _let_185 _let_462 _let_455)))) :args (_let_89 _let_90 _let_145 _let_185 _let_463 _let_462 _let_82 _let_84 _let_85 _let_86 _let_461 _let_88 _let_459 _let_458 _let_92 _let_455 _let_93 _let_454)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_481)))) (TRUE_INTRO (ASSUME :args (_let_480))))) :args (_let_481 _let_480)) :args ((not (and _let_89 _let_90 _let_145 _let_185 _let_463 _let_462 _let_82 _let_84 _let_85 _let_86 _let_461 _let_88 _let_459 _let_458 _let_92 _let_455 _let_93 _let_454)) SB_LITERAL))) (CONG (REFL :args (_let_126)) (REFL :args (_let_125)) (MACRO_SR_PRED_INTRO :args ((= (not _let_145) _let_116))) (REFL :args _let_437) (REFL :args (_let_465)) (REFL :args (_let_464)) _let_433 _let_432 _let_431 (REFL :args (_let_479)) (REFL :args (_let_478)) _let_430 (REFL :args (_let_477)) (REFL :args (_let_476)) (REFL :args (_let_475)) (REFL :args (_let_474)) (REFL :args (_let_473)) (REFL :args (_let_472)) :args _let_429)) :args ((or _let_116 _let_126 _let_125 _let_235 _let_465 _let_464 _let_277 _let_276 _let_275 _let_479 _let_478 _let_262 _let_477 _let_476 _let_475 _let_474 _let_473 _let_472))) _let_446 _let_447 _let_448 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_466 0)) (CONG _let_471 (MACRO_SR_PRED_INTRO :args ((= (not _let_465) _let_463))) :args _let_429)) :args ((or _let_463 _let_466))) _let_470 :args (_let_463 true _let_466)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_466 1)) (CONG _let_471 (MACRO_SR_PRED_INTRO :args ((= (not _let_464) _let_462))) :args _let_429)) :args ((or _let_462 _let_466))) _let_470 :args (_let_462 true _let_466)) _let_102 _let_107 _let_110 _let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_453 tptp.sk_c10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_111)) _let_112 :args (_let_461 false _let_78)) _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_453 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_99)) _let_98 :args (_let_459 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_456 _let_453 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_111)) _let_112 :args (_let_458 false _let_78)) _let_450 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_98 :args (_let_455 false _let_97)) _let_451 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_105)) _let_104 :args (_let_454 false _let_103)) :args (_let_235 true _let_116 false _let_89 false _let_90 false _let_463 false _let_462 false _let_82 false _let_84 false _let_85 false _let_86 false _let_461 false _let_88 false _let_459 false _let_458 false _let_92 false _let_455 false _let_93 false _let_454)) :args (_let_452 false _let_119 false _let_91 true _let_185)) _let_451 _let_450 _let_449 _let_448 _let_447 _let_115 _let_113 _let_110 _let_107 _let_102 :args (false false _let_96 false _let_95 true _let_94 false _let_93 false _let_92 false _let_91 false _let_90 false _let_89 false _let_88 false _let_86 false _let_85 false _let_84 false _let_82)) :args (_let_80 _let_79 _let_78 _let_77 _let_76 _let_75 _let_74 (or _let_70 _let_16) (or _let_70 _let_14) _let_73 _let_72 _let_71 _let_68 _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_46 _let_45 _let_44 _let_43 (or _let_39 _let_16) (or _let_39 _let_14) _let_42 _let_41 _let_40 _let_37 _let_36 _let_35 _let_34 (or _let_30 _let_16) (or _let_30 _let_14) _let_33 _let_32 _let_31 _let_28 _let_25 _let_22 _let_19 (or _let_5 _let_16) (or _let_5 _let_14) _let_12 _let_9 _let_6 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 21.49/21.78  )
% 21.49/21.79  % SZS output end Proof for GRP389-1
% 21.49/21.79  % cvc5---1.0.5 exiting
% 21.49/21.79  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------