TSTP Solution File: GRP322-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP322-1 : 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 00:25:38 EDT 2023
% Result : Unsatisfiable 0.64s 0.80s
% Output : Proof 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP322-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 22:15:02 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.LIjuG0fyOi/cvc5---1.0.5_8940.p...
% 0.21/0.50 ------- get file name : TPTP file name is GRP322-1
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8940.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.64/0.80 % SZS status Unsatisfiable for GRP322-1
% 0.64/0.80 % SZS output start Proof for GRP322-1
% 0.64/0.81 (
% 0.64/0.81 (let ((_let_1 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c8 tptp.sk_c9) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c8) tptp.sk_c9)) (not (= (tptp.inverse X4) tptp.sk_c8)) (not (= (tptp.multiply tptp.sk_c9 X5) tptp.sk_c8)) (not (= (tptp.multiply X6 tptp.sk_c9) X5)) (not (= (tptp.inverse X6) tptp.sk_c9)) (not (= (tptp.multiply tptp.sk_c9 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c9) tptp.sk_c8)) (not (= (tptp.inverse X1) tptp.sk_c9)) (not (= (tptp.multiply tptp.sk_c9 X2) tptp.sk_c8)) (not (= (tptp.multiply X3 tptp.sk_c9) X2)) (not (= (tptp.inverse X3) tptp.sk_c9)))))) (let ((_let_2 (tptp.inverse tptp.sk_c5))) (let ((_let_3 (= _let_2 tptp.sk_c9))) (let ((_let_4 (tptp.inverse tptp.sk_c2))) (let ((_let_5 (= _let_4 tptp.sk_c9))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (tptp.multiply tptp.sk_c5 tptp.sk_c9))) (let ((_let_8 (= _let_7 tptp.sk_c6))) (let ((_let_9 (or _let_5 _let_8))) (let ((_let_10 (tptp.multiply tptp.sk_c9 tptp.sk_c6))) (let ((_let_11 (= _let_10 tptp.sk_c8))) (let ((_let_12 (or _let_5 _let_11))) (let ((_let_13 (tptp.inverse tptp.sk_c4))) (let ((_let_14 (= _let_13 tptp.sk_c9))) (let ((_let_15 (or _let_5 _let_14))) (let ((_let_16 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (let ((_let_17 (= _let_16 tptp.sk_c8))) (let ((_let_18 (or _let_5 _let_17))) (let ((_let_19 (tptp.multiply tptp.sk_c9 tptp.sk_c8))) (let ((_let_20 (= _let_19 tptp.sk_c7))) (let ((_let_21 (or _let_5 _let_20))) (let ((_let_22 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (let ((_let_23 (= _let_22 tptp.sk_c3))) (let ((_let_24 (or _let_23 _let_3))) (let ((_let_25 (or _let_23 _let_8))) (let ((_let_26 (or _let_23 _let_11))) (let ((_let_27 (or _let_23 _let_14))) (let ((_let_28 (or _let_23 _let_17))) (let ((_let_29 (or _let_23 _let_20))) (let ((_let_30 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (let ((_let_31 (= _let_30 tptp.sk_c8))) (let ((_let_32 (or _let_31 _let_3))) (let ((_let_33 (or _let_31 _let_8))) (let ((_let_34 (or _let_31 _let_11))) (let ((_let_35 (or _let_31 _let_14))) (let ((_let_36 (or _let_31 _let_17))) (let ((_let_37 (or _let_31 _let_20))) (let ((_let_38 (tptp.inverse tptp.sk_c1))) (let ((_let_39 (= _let_38 tptp.sk_c8))) (let ((_let_40 (or _let_39 _let_14))) (let ((_let_41 (or _let_39 _let_17))) (let ((_let_42 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (let ((_let_43 (= _let_42 tptp.sk_c9))) (let ((_let_44 (or _let_43 _let_14))) (let ((_let_45 (or _let_43 _let_17))) (let ((_let_46 (tptp.multiply tptp.sk_c8 tptp.sk_c9))) (let ((_let_47 (= _let_46 tptp.sk_c7))) (let ((_let_48 (or _let_47 _let_3))) (let ((_let_49 (or _let_47 _let_8))) (let ((_let_50 (or _let_47 _let_11))) (let ((_let_51 (or _let_47 _let_20))) (let ((_let_52 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_53 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_54 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_55 (tptp.multiply _let_4 tptp.sk_c2))) (let ((_let_56 (= tptp.identity _let_55))) (let ((_let_57 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (let ((_let_58 (= tptp.sk_c7 _let_46))) (let ((_let_59 (= (tptp.multiply _let_55 tptp.sk_c9) (tptp.multiply _let_4 _let_22)))) (let ((_let_60 (= tptp.sk_c7 _let_19))) (let ((_let_61 (= tptp.sk_c8 _let_30))) (let ((_let_62 (= tptp.sk_c3 _let_22))) (let ((_let_63 (= tptp.sk_c9 _let_4))) (let ((_let_64 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_53)) (MACRO_SR_EQ_INTRO :args (_let_53 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (_let_64))) (let ((_let_67 ((tptp.inverse X)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_65 :args (_let_56 false _let_64)))) (let ((_let_69 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_54)) (MACRO_SR_EQ_INTRO :args (_let_54 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (_let_69))) (let ((_let_72 ((tptp.multiply tptp.identity X)))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.sk_c9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_72)) :args _let_71)) _let_70 :args (_let_57 false _let_69)))) (let ((_let_74 (= tptp.sk_c8 _let_10))) (let ((_let_75 (= tptp.sk_c6 _let_7))) (let ((_let_76 (= tptp.sk_c9 _let_2))) (let ((_let_77 (= tptp.identity (tptp.multiply _let_2 tptp.sk_c5)))) (let ((_let_78 (tptp.multiply tptp.sk_c9 _let_7))) (let ((_let_79 (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.sk_c5) tptp.sk_c9) _let_78))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_65 :args (_let_77 false _let_64)))) (let ((_let_81 (_let_52))) (let ((_let_82 (ASSUME :args _let_81))) (let ((_let_83 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.sk_c9 tptp.sk_c5 tptp.sk_c9 QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_81)) _let_82 :args (_let_79 false _let_52)))) (let ((_let_85 (not _let_57))) (let ((_let_86 (not _let_76))) (let ((_let_87 (not _let_75))) (let ((_let_88 (not _let_74))) (let ((_let_89 (not _let_60))) (let ((_let_90 (and _let_60 _let_74 _let_75 _let_76 _let_77 _let_79 _let_57))) (let ((_let_91 (APPLY_UF tptp.multiply))) (let ((_let_92 (ASSUME :args (_let_57)))) (let ((_let_93 (SYMM _let_92))) (let ((_let_94 (REFL :args (tptp.sk_c9)))) (let ((_let_95 (ASSUME :args (_let_77)))) (let ((_let_96 (SYMM _let_95))) (let ((_let_97 (REFL :args (tptp.sk_c5)))) (let ((_let_98 (ASSUME :args (_let_76)))) (let ((_let_99 (SYMM _let_98))) (let ((_let_100 (SYMM _let_99))) (let ((_let_101 (ASSUME :args (_let_79)))) (let ((_let_102 (SYMM _let_101))) (let ((_let_103 (ASSUME :args (_let_75)))) (let ((_let_104 (SYMM (SYMM _let_103)))) (let ((_let_105 (CONG _let_94 _let_104 :args _let_91))) (let ((_let_106 (ASSUME :args (_let_74)))) (let ((_let_107 (SYMM (SYMM _let_106)))) (let ((_let_108 (TRANS _let_107 _let_105 _let_102 (CONG (TRANS (CONG _let_100 _let_97 :args _let_91) _let_96) _let_94 :args _let_91) _let_93))) (let ((_let_109 (REFL :args (tptp.sk_c8)))) (let ((_let_110 (ASSUME :args (_let_60)))) (let ((_let_111 (SYMM (SYMM _let_110)))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_90)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_92 _let_95 _let_98 _let_101 _let_103 _let_106 _let_110) (SCOPE (TRANS _let_111 (CONG (SYMM _let_108) _let_109 :args _let_91) (CONG _let_109 _let_108 :args _let_91)) :args (_let_57 _let_77 _let_76 _let_79 _let_75 _let_74 _let_60))) :args (_let_60 _let_74 _let_75 _let_76 _let_77 _let_79 _let_57))) :args (true _let_90)) :args ((or _let_58 _let_89 _let_88 _let_87 _let_86 (not _let_77) (not _let_79) _let_85))) _let_73 _let_84 _let_80 (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO :args (_let_48 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_49)) (MACRO_SR_EQ_INTRO :args (_let_49 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_50)) (MACRO_SR_EQ_INTRO :args (_let_50 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_51)) (MACRO_SR_EQ_INTRO :args (_let_51 SB_DEFAULT SBA_FIXPOINT))) :args (_let_58 false _let_57 false _let_79 false _let_77 false _let_76 false _let_75 false _let_74 false _let_60)))) (let ((_let_113 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_4 tptp.sk_c2 tptp.sk_c9 QUANTIFIERS_INST_E_MATCHING _let_113)) :args _let_81)) _let_82 :args (_let_59 false _let_52)))) (let ((_let_115 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c9))) (let ((_let_116 (= tptp.sk_c8 _let_115))) (let ((_let_117 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_118 (= tptp.sk_c9 _let_117))) (let ((_let_119 (not _let_118))) (let ((_let_120 (not _let_116))) (let ((_let_121 (or _let_120 _let_119))) (let ((_let_122 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))))) (let ((_let_123 (= tptp.sk_c9 _let_13))) (let ((_let_124 (not _let_123))) (let ((_let_125 (= tptp.sk_c8 _let_16))) (let ((_let_126 (not _let_125))) (let ((_let_127 (or _let_126 _let_124))) (let ((_let_128 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_129 (= tptp.sk_c9 _let_128))) (let ((_let_130 (not _let_129))) (let ((_let_131 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c9))) (let ((_let_132 (= tptp.sk_c8 _let_131))) (let ((_let_133 (not _let_132))) (let ((_let_134 (or _let_133 _let_130))) (let ((_let_135 (= tptp.sk_c9 _let_42))) (let ((_let_136 (= tptp.sk_c8 _let_38))) (let ((_let_137 (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 _let_22)))) (let ((_let_138 (not _let_63))) (let ((_let_139 (not _let_137))) (let ((_let_140 (or _let_139 _let_138))) (let ((_let_141 (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))))) (let ((_let_142 (tptp.multiply tptp.sk_c9 _let_131))) (let ((_let_143 (= tptp.sk_c8 _let_142))) (let ((_let_144 (not _let_143))) (let ((_let_145 (or _let_144 _let_130))) (let ((_let_146 (tptp.multiply _let_38 tptp.sk_c1))) (let ((_let_147 (= tptp.identity _let_146))) (let ((_let_148 (tptp.multiply tptp.sk_c9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_149 (= _let_142 (tptp.multiply _let_148 tptp.sk_c9)))) (let ((_let_150 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (let ((_let_151 (= (tptp.multiply _let_146 tptp.sk_c9) (tptp.multiply _let_38 _let_150)))) (let ((_let_152 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_153 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_152))) (let ((_let_154 (= (tptp.multiply (tptp.multiply tptp.sk_c8 _let_4) tptp.sk_c2) (tptp.multiply tptp.sk_c8 _let_55)))) (let ((_let_155 (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.identity) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiply tptp.sk_c9 _let_152)))) (let ((_let_156 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c8))) (let ((_let_157 (= tptp.sk_c9 _let_156))) (let ((_let_158 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_159 (= tptp.sk_c8 _let_158))) (let ((_let_160 (not _let_159))) (let ((_let_161 (not _let_157))) (let ((_let_162 (or _let_161 _let_160))) (let ((_let_163 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X4))))))) (let ((_let_164 (= tptp.sk_c8 _let_117))) (let ((_let_165 (not _let_164))) (let ((_let_166 (= tptp.sk_c9 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c8)))) (let ((_let_167 (not _let_166))) (let ((_let_168 (or _let_167 _let_165))) (let ((_let_169 (= tptp.identity (tptp.multiply _let_128 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_170 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X3 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X3))))))) (let ((_let_171 (tptp.multiply tptp.sk_c9 _let_115))) (let ((_let_172 (= tptp.sk_c8 _let_171))) (let ((_let_173 (not _let_172))) (let ((_let_174 (or _let_173 _let_119))) (let ((_let_175 (= tptp.identity (tptp.multiply _let_158 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_176 (= (tptp.multiply (tptp.multiply tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) tptp.sk_c8) (tptp.multiply tptp.sk_c8 _let_156)))) (let ((_let_177 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (let ((_let_178 (not _let_121))) (let ((_let_179 (_let_121))) (let ((_let_180 (_let_122))) (let ((_let_181 ((tptp.multiply X1 tptp.sk_c9)))) (let ((_let_182 (ASSUME :args _let_180))) (let ((_let_183 (not _let_162))) (let ((_let_184 (_let_162))) (let ((_let_185 (_let_163))) (let ((_let_186 ((tptp.multiply X4 tptp.sk_c8)))) (let ((_let_187 (ASSUME :args _let_185))) (let ((_let_188 (not _let_141))) (let ((_let_189 (ALPHA_EQUIV :args (_let_141 (= X6 X3))))) (let ((_let_190 (not _let_58))) (let ((_let_191 (_let_141))) (let ((_let_192 ((tptp.multiply X6 tptp.sk_c9)))) (let ((_let_193 (ASSUME :args _let_191))) (let ((_let_194 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_192)) :args _let_191)))) (let ((_let_195 (REORDERING (CNF_OR_POS :args (_let_174)) :args ((or _let_119 _let_173 (not _let_174)))))) (let ((_let_196 (and _let_58 _let_60 _let_116 _let_157 _let_159 _let_175 _let_176 _let_177))) (let ((_let_197 (ASSUME :args (_let_116)))) (let ((_let_198 (SYMM _let_197))) (let ((_let_199 (SYMM _let_198))) (let ((_let_200 (CONG _let_94 _let_199 :args _let_91))) (let ((_let_201 (ASSUME :args (_let_58)))) (let ((_let_202 (SYMM _let_201))) (let ((_let_203 (ASSUME :args (_let_157)))) (let ((_let_204 (SYMM _let_203))) (let ((_let_205 (ASSUME :args (_let_176)))) (let ((_let_206 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_207 (ASSUME :args (_let_159)))) (let ((_let_208 (ASSUME :args (_let_175)))) (let ((_let_209 (ASSUME :args (_let_177)))) (let ((_let_210 (or))) (let ((_let_211 (REFL :args _let_184))) (let ((_let_212 (not _let_163))) (let ((_let_213 (_let_212))) (let ((_let_214 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_213)) :args _let_213)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_212) _let_163))) (REFL :args (_let_183)) :args _let_210)))) (let ((_let_215 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_187 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_186)) :args _let_185)))) (let ((_let_216 (= tptp.identity (tptp.multiply _let_117 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_217 (= (tptp.multiply (tptp.multiply tptp.sk_c9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) tptp.sk_c9) _let_171))) (let ((_let_218 (= (tptp.multiply (tptp.multiply tptp.sk_c5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) tptp.sk_c8) (tptp.multiply tptp.sk_c5 _let_156)))) (let ((_let_219 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_115))) (let ((_let_220 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_221 (tptp.multiply _let_220 tptp.sk_c9))) (let ((_let_222 (= _let_221 _let_219))) (let ((_let_223 (= (tptp.multiply _let_219 tptp.sk_c5) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.multiply _let_115 tptp.sk_c5))))) (let ((_let_224 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (let ((_let_225 (= (tptp.multiply (tptp.multiply tptp.sk_c2 _let_220) tptp.sk_c9) (tptp.multiply tptp.sk_c2 _let_221)))) (let ((_let_226 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_193 :args (tptp.sk_c2 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_let_70 :args (tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_72)) :args _let_71)) _let_70 :args (_let_177 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_81)) _let_82 :args (_let_176 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_65 :args (_let_175 false _let_64)) _let_195 _let_194 (EQUIV_ELIM2 _let_189) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_190 _let_89 _let_163 _let_122 _let_141 _let_170))) _let_112 (REORDERING (EQUIV_ELIM1 _let_189) :args ((or _let_170 _let_188))) :args ((or _let_89 _let_163 _let_122 _let_170) false _let_58 true _let_141)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_187 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((or _let_89 _let_120 _let_119) false _let_59 false _let_57 false _let_56 true _let_164 false _let_166 false _let_153 false _let_57 false _let_149 false _let_169 false _let_147 false _let_129 false _let_143 true _let_145 true _let_141 true _let_140 false _let_137 false _let_63 false _let_62 false _let_61 true _let_76 false _let_168 false _let_163 false _let_162 true _let_157)))) (let ((_let_363 (REFL :args _let_179))) (let ((_let_364 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_121 1)) (CONG _let_363 (MACRO_SR_PRED_INTRO :args ((= (not _let_119) _let_118))) :args _let_210)) :args ((or _let_118 _let_121))))) (let ((_let_365 (not _let_122))) (let ((_let_366 (_let_365))) (let ((_let_367 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_366)) :args _let_366)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_365) _let_122))) (REFL :args (_let_178)) :args _let_210)))) (let ((_let_368 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_182 :args (tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_181)) :args _let_180)))) (let ((_let_369 (not _let_127))) (let ((_let_370 (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_126 _let_124 _let_369))))) (let ((_let_371 (MACRO_RESOLUTION_TRUST _let_370 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_123 _let_63))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_125 _let_63))) :args ((or _let_63 _let_369) false _let_123 false _let_125)))) (let ((_let_372 (MACRO_RESOLUTION_TRUST _let_370 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_123 _let_62))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_125 _let_62))) :args ((or _let_62 _let_369) false _let_123 false _let_125)))) (let ((_let_373 (tptp.multiply tptp.sk_c1 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:args ((or _let_123 _let_136))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_125 _let_136))) :args ((or _let_136 _let_369) false _let_123 false _let_125)))) (let ((_let_380 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_38 tptp.sk_c1 tptp.sk_c9 QUANTIFIERS_INST_E_MATCHING _let_113)) :args _let_81)) _let_82 :args (_let_151 false _let_52)))) (let ((_let_381 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.sk_c8 _let_4 tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_81)) _let_82 :args (_let_154 false _let_52)))) (let ((_let_382 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.sk_c9 tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_81)) _let_82 :args (_let_155 false _let_52)))) (let ((_let_383 (not _let_155))) (let ((_let_384 (not _let_154))) (let ((_let_385 (not _let_151))) (let ((_let_386 (not _let_136))) (let ((_let_387 (not _let_135))) (let ((_let_388 (and _let_58 _let_60 _let_135 _let_136 _let_61 _let_62 _let_63 _let_143 _let_116 _let_147 _let_56 _let_375 _let_149 _let_57 _let_59 _let_151 _let_153 _let_154 _let_376 _let_155))) (let ((_let_389 (TRANS _let_263 _let_361 _let_357 _let_355 _let_93))) (let ((_let_390 (TRANS (CONG _let_389 _let_260 :args _let_91) _let_361 _let_357 _let_355 _let_93))) (let ((_let_391 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_392 (ASSUME :args (_let_151)))) (let ((_let_393 (SYMM _let_392))) (let ((_let_394 (REFL :args (_let_150)))) (let ((_let_395 (ASSUME :args (_let_136)))) (let ((_let_396 (SYMM (SYMM _let_395)))) (let ((_let_397 (SYMM _let_389))) (let ((_let_398 (REFL :args (tptp.sk_c1)))) (let ((_let_399 (ASSUME :args (_let_135)))) (let ((_let_400 (SYMM _let_399))) (let ((_let_401 (SYMM _let_400))) (let ((_let_402 (CONG _let_359 _let_359 :args _let_91))) (let ((_let_403 (SYMM _let_402))) (let ((_let_404 (TRANS (CONG _let_109 _let_359 :args _let_91) _let_202 _let_111))) (let ((_let_405 (ASSUME :args (_let_154)))) (let ((_let_406 (SYMM _let_405))) (let ((_let_407 (ASSUME :args (_let_155)))) (let ((_let_408 (SYMM _let_407))) (let ((_let_409 (CONG _let_94 _let_315 :args _let_91))) (let ((_let_410 (ASSUME :args (_let_375)))) (let ((_let_411 (CONG (TRANS (SYMM (SYMM _let_410)) (CONG _let_398 _let_198 :args _let_91) _let_400) _let_391 :args _let_91))) (let ((_let_412 (ASSUME :args (_let_376)))) (let ((_let_413 (REORDERING (CNF_OR_POS :args (_let_134)) :args ((or _let_130 _let_133 (not _let_134)))))) (let ((_let_414 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_125 _let_61))))) (let ((_let_415 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_123 _let_61))))) (let ((_let_416 (and _let_58 _let_60 _let_135 _let_136 _let_61 _let_62 _let_63 _let_143 _let_147 _let_56 _let_149 _let_57 _let_59 _let_151 _let_153 _let_154 _let_155))) (let ((_let_417 (CONG _let_360 (REFL :args (_let_22)) :args _let_91))) (let ((_let_418 (TRANS _let_263 _let_344 _let_417 _let_357 _let_355 _let_93))) (let ((_let_419 (TRANS (CONG _let_418 _let_260 :args _let_91) _let_344 _let_417 _let_357 _let_355 _let_93))) (let ((_let_420 (SYMM _let_418))) (let ((_let_421 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_416)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_315 _let_353 _let_358 _let_92 _let_274 _let_392 _let_395 _let_261 _let_247 _let_356 _let_399 _let_110 _let_201 _let_405 _let_407 _let_321 _let_324) (SCOPE (TRANS _let_326 _let_323 (CONG _let_320 (SYMM _let_419) :args _let_91) (CONG (TRANS _let_409 _let_408 (CONG (TRANS (CONG _let_420 _let_353 :args _let_91) _let_406 (CONG (TRANS _let_404 (TRANS (CONG _let_94 _let_418 :args _let_91) _let_403) (TRANS _let_402 (CONG _let_94 (TRANS _let_401 (CONG _let_398 _let_418 :args _let_91)) :args _let_91) (CONG (TRANS _let_420 _let_396) _let_394 :args _let_91) _let_393 _let_276 _let_93) _let_360) _let_237 :args _let_91) _let_354) _let_391 :args _let_91) _let_316) _let_419 :args _let_91)) :args (_let_153 _let_56 _let_63 _let_57 _let_147 _let_151 _let_136 _let_61 _let_62 _let_59 _let_135 _let_60 _let_58 _let_154 _let_155 _let_149 _let_143))) :args (_let_58 _let_60 _let_135 _let_136 _let_61 _let_62 _let_63 _let_143 _let_147 _let_56 _let_149 _let_57 _let_59 _let_151 _let_153 _let_154 _let_155))) :args (true _let_416)) :args ((or _let_190 _let_89 _let_387 _let_386 _let_351 _let_350 _let_138 _let_144 _let_305 _let_349 _let_303 _let_85 _let_348 _let_132 _let_385 _let_302 _let_384 _let_383))) _let_382 _let_381 _let_301 _let_380 _let_114 _let_112 _let_73 _let_300 _let_68 _let_267 _let_413 _let_298 _let_297 _let_295 _let_226 _let_231 _let_345 (MACRO_RESOLUTION_TRUST _let_370 _let_415 _let_414 :args ((or _let_61 _let_369) false _let_123 false _let_125)) _let_372 _let_371 _let_379 _let_378 _let_377 _let_368 _let_367 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_121 0)) (CONG _let_363 (MACRO_SR_PRED_INTRO :args ((= (not _let_120) _let_116))) :args _let_210)) :args ((or _let_116 _let_121))) (MACRO_RESOLUTION_TRUST _let_370 _let_415 _let_414 (MACRO_RESOLUTION_TRUST _let_413 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_388)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_315 _let_353 _let_358 _let_92 _let_274 _let_392 _let_395 _let_261 _let_247 _let_356 _let_399 _let_110 _let_201 _let_405 _let_407 _let_197 _let_410 _let_412 _let_321 _let_324) (SCOPE (TRANS _let_326 _let_323 (CONG _let_320 (SYMM _let_390) :args _let_91) (CONG (TRANS (TRANS (SYMM _let_411) _let_412) (TRANS (SYMM _let_412) _let_411 _let_409 _let_408 (CONG (TRANS (CONG _let_397 _let_353 :args _let_91) _let_406 (CONG (TRANS _let_404 (TRANS (CONG _let_94 _let_389 :args _let_91) _let_403) (TRANS _let_402 (CONG _let_94 (TRANS _let_401 (CONG _let_398 _let_389 :args _let_91)) :args _let_91) (CONG (TRANS _let_397 _let_396) _let_394 :args _let_91) _let_393 _let_276 _let_93) _let_360) _let_237 :args _let_91) _let_354) _let_391 :args _let_91) _let_316)) _let_390 :args _let_91)) :args (_let_153 _let_56 _let_63 _let_57 _let_147 _let_151 _let_136 _let_61 _let_62 _let_59 _let_135 _let_60 _let_58 _let_154 _let_155 _let_116 _let_375 _let_376 _let_149 _let_143))) :args (_let_58 _let_60 _let_135 _let_136 _let_61 _let_62 _let_63 _let_143 _let_116 _let_147 _let_56 _let_375 _let_149 _let_57 _let_59 _let_151 _let_153 _let_154 _let_376 _let_155))) :args (true _let_388)) :args ((or _let_190 _let_89 _let_387 _let_386 _let_351 _let_350 _let_138 _let_144 _let_120 _let_305 _let_349 (not _let_375) _let_303 _let_85 _let_348 _let_132 _let_385 _let_302 _let_384 (not _let_376) _let_383))) _let_382 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_373 tptp.sk_c9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_81)) _let_82 :args (_let_376 false _let_52)) _let_381 _let_301 _let_380 _let_114 _let_112 _let_73 _let_300 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.sk_c1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c9 QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_81)) _let_82 :args (_let_375 false _let_52)) _let_68 _let_267 _let_298 _let_297 _let_295 _let_226 _let_231 _let_345 _let_379 _let_378 _let_368 _let_377 _let_367 _let_364 _let_362 :args ((or _let_89 _let_351 _let_350 _let_138 _let_120) false _let_132 false _let_155 false _let_376 false _let_154 false _let_153 false _let_151 false _let_59 false _let_58 false _let_57 false _let_149 false _let_375 false _let_56 false _let_147 false _let_129 false _let_143 true _let_145 true _let_141 true _let_140 false _let_137 false _let_136 false _let_135 false _let_127 false _let_134 false _let_122 false _let_121 true _let_118)) _let_372 _let_371 _let_368 _let_367 _let_364 _let_362 :args ((or _let_89 _let_120) false _let_123 false _let_125 true _let_61 false _let_62 false _let_63 false _let_127 false _let_122 false _let_121 true _let_118)) :args (_let_89 false _let_155 false _let_154 false _let_153 false _let_151 false _let_59 false _let_58 false _let_57 false _let_149 false _let_56 false _let_147 true _let_132 false _let_129 false _let_143 true _let_145 true _let_141 true _let_140 false _let_137 false _let_61 false _let_62 false _let_63 false _let_136 false _let_135 false _let_134 false _let_127 false _let_122 false _let_121 true _let_116)))) (let ((_let_422 (and _let_58 _let_61 _let_62 _let_63 _let_56 _let_57 _let_59))) (let ((_let_423 (TRANS (SYMM _let_93) (CONG (SYMM _let_354) _let_94 :args _let_91) (SYMM _let_357) (CONG _let_359 _let_248 :args _let_91) _let_262))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_422)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_261 _let_358 _let_247 _let_356 _let_353 _let_92 _let_201) (SCOPE (TRANS (SYMM _let_202) (CONG _let_109 _let_358 :args _let_91) (CONG (SYMM _let_423) _let_359 :args _let_91) (CONG _let_94 _let_423 :args _let_91)) :args (_let_61 _let_63 _let_62 _let_59 _let_56 _let_57 _let_58))) :args (_let_58 _let_61 _let_62 _let_63 _let_56 _let_57 _let_59))) :args (true _let_422)) :args ((or _let_60 _let_190 _let_351 _let_350 _let_138 _let_349 _let_85 _let_348))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_60 _let_63))) _let_421 :args (_let_63 true _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_60 _let_62))) _let_421 :args (_let_62 true _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_60 _let_61))) _let_421 :args (_let_61 true _let_60)) _let_421 _let_114 _let_112 _let_73 _let_68 :args (false false _let_63 false _let_62 false _let_61 true _let_60 false _let_59 false _let_58 false _let_57 false _let_56)) :args (_let_54 _let_53 _let_52 _let_51 (or _let_47 _let_17) (or _let_47 _let_14) _let_50 _let_49 _let_48 (or _let_43 _let_20) _let_45 _let_44 (or _let_43 _let_11) (or _let_43 _let_8) (or _let_43 _let_3) (or _let_39 _let_20) _let_41 _let_40 (or _let_39 _let_11) (or _let_39 _let_8) (or _let_39 _let_3) _let_37 _let_36 _let_35 _let_34 _let_33 _let_32 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_21 _let_18 _let_15 _let_12 _let_9 _let_6 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.64/0.81 )
% 0.64/0.82 % SZS output end Proof for GRP322-1
% 0.64/0.82 % cvc5---1.0.5 exiting
% 0.64/0.82 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------