TSTP Solution File: GRP247-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP247-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 00:25:20 EDT 2023

% Result   : Unsatisfiable 10.68s 10.99s
% Output   : Proof 10.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : GRP247-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 29 01:40:05 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.21/0.54  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.54  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.jpHowLGcJx/cvc5---1.0.5_5066.p...
% 0.21/0.55  ------- get file name : TPTP file name is GRP247-1
% 0.21/0.55  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5066.smt2...
% 0.21/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.65/10.86  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.68/10.99  % SZS status Unsatisfiable for GRP247-1
% 10.68/10.99  % SZS output start Proof for GRP247-1
% 10.68/11.01  (
% 10.68/11.01  (let ((_let_1 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (= (tptp.multiply X4 tptp.sk_c9) tptp.sk_c8)) (not (= (tptp.inverse X4) tptp.sk_c9)) (not (= (tptp.multiply X5 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X5) tptp.sk_c8)) (not (= (tptp.inverse X6) tptp.sk_c9)) (not (= (tptp.multiply X6 tptp.sk_c7) tptp.sk_c9)) (not (= (tptp.multiply X1 tptp.sk_c9) tptp.sk_c8)) (not (= (tptp.inverse X1) tptp.sk_c9)) (not (= (tptp.multiply X2 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c8)) (not (= (tptp.inverse X3) tptp.sk_c9)) (not (= (tptp.multiply X3 tptp.sk_c8) tptp.sk_c9)))))) (let ((_let_2 (tptp.multiply tptp.sk_c6 tptp.sk_c8))) (let ((_let_3 (= _let_2 tptp.sk_c9))) (let ((_let_4 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (let ((_let_5 (= _let_4 tptp.sk_c9))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (tptp.inverse tptp.sk_c6))) (let ((_let_8 (= _let_7 tptp.sk_c9))) (let ((_let_9 (or _let_5 _let_8))) (let ((_let_10 (tptp.inverse tptp.sk_c5))) (let ((_let_11 (= _let_10 tptp.sk_c8))) (let ((_let_12 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (let ((_let_13 (= _let_12 tptp.sk_c7))) (let ((_let_14 (tptp.inverse tptp.sk_c4))) (let ((_let_15 (= _let_14 tptp.sk_c9))) (let ((_let_16 (tptp.multiply tptp.sk_c4 tptp.sk_c9))) (let ((_let_17 (= _let_16 tptp.sk_c8))) (let ((_let_18 (tptp.inverse tptp.sk_c3))) (let ((_let_19 (= _let_18 tptp.sk_c9))) (let ((_let_20 (or _let_19 _let_3))) (let ((_let_21 (or _let_19 _let_8))) (let ((_let_22 (tptp.inverse tptp.sk_c2))) (let ((_let_23 (= _let_22 tptp.sk_c8))) (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_13))) (let ((_let_28 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (let ((_let_29 (= _let_28 tptp.sk_c7))) (let ((_let_30 (or _let_29 _let_3))) (let ((_let_31 (or _let_29 _let_8))) (let ((_let_32 (or _let_29 _let_11))) (let ((_let_33 (or _let_29 _let_13))) (let ((_let_34 (tptp.inverse tptp.sk_c1))) (let ((_let_35 (= _let_34 tptp.sk_c9))) (let ((_let_36 (or _let_35 _let_3))) (let ((_let_37 (or _let_35 _let_8))) (let ((_let_38 (or _let_35 _let_11))) (let ((_let_39 (or _let_35 _let_13))) (let ((_let_40 (or _let_35 _let_15))) (let ((_let_41 (or _let_35 _let_17))) (let ((_let_42 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (let ((_let_43 (= _let_42 tptp.sk_c8))) (let ((_let_44 (or _let_43 _let_3))) (let ((_let_45 (or _let_43 _let_8))) (let ((_let_46 (or _let_43 _let_11))) (let ((_let_47 (or _let_43 _let_13))) (let ((_let_48 (or _let_43 _let_15))) (let ((_let_49 (or _let_43 _let_17))) (let ((_let_50 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_51 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_52 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_53 (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X5 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X5))))))) (let ((_let_54 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.inverse X3))) (not (= tptp.sk_c9 (tptp.multiply X3 tptp.sk_c8))))))) (let ((_let_55 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X1 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X1))))))) (let ((_let_56 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X4 tptp.sk_c9))) (not (= tptp.sk_c9 (tptp.inverse X4))))))) (let ((_let_57 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X2 tptp.sk_c8))) (not (= tptp.sk_c8 (tptp.inverse X2))))))) (let ((_let_58 (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.inverse X6))) (not (= tptp.sk_c9 (tptp.multiply X6 tptp.sk_c7))))))) (let ((_let_59 (= tptp.sk_c8 _let_10))) (let ((_let_60 (not _let_59))) (let ((_let_61 (= tptp.sk_c7 _let_12))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_60))) (let ((_let_64 (not _let_63))) (let ((_let_65 (= tptp.sk_c8 _let_42))) (let ((_let_66 (= tptp.sk_c9 _let_34))) (let ((_let_67 (not _let_65))) (let ((_let_68 (= tptp.sk_c8 _let_16))) (let ((_let_69 (= tptp.sk_c9 _let_14))) (let ((_let_70 (= tptp.sk_c9 _let_7))) (let ((_let_71 (= tptp.sk_c9 _let_2))) (let ((_let_72 (not _let_69))) (let ((_let_73 (not _let_68))) (let ((_let_74 (or _let_73 _let_72))) (let ((_let_75 (not _let_71))) (let ((_let_76 (not _let_70))) (let ((_let_77 (or _let_76 _let_75))) (let ((_let_78 (= tptp.sk_c9 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_76 _let_79))) (let ((_let_81 (tptp.multiply tptp.identity tptp.identity))) (let ((_let_82 (= tptp.identity _let_81))) (let ((_let_83 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (let ((_let_84 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (let ((_let_85 (tptp.inverse tptp.sk_c9))) (let ((_let_86 (tptp.multiply _let_85 tptp.sk_c9))) (let ((_let_87 (= tptp.identity _let_86))) (let ((_let_88 (= (tptp.multiply _let_86 tptp.sk_c8) (tptp.multiply _let_85 (tptp.multiply tptp.sk_c9 tptp.sk_c8))))) (let ((_let_89 (tptp.multiply _let_14 tptp.sk_c4))) (let ((_let_90 (= tptp.identity _let_89))) (let ((_let_91 (tptp.multiply tptp.identity tptp.sk_c5))) (let ((_let_92 (= (tptp.multiply _let_81 tptp.sk_c5) (tptp.multiply tptp.identity _let_91)))) (let ((_let_93 (= tptp.sk_c5 _let_91))) (let ((_let_94 (= tptp.identity (tptp.multiply _let_10 tptp.sk_c5)))) (let ((_let_95 (= (tptp.multiply _let_89 tptp.sk_c9) (tptp.multiply _let_14 _let_16)))) (let ((_let_96 (not _let_74))) (let ((_let_97 (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_73 _let_72 _let_96))))) (let ((_let_98 (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_62 _let_60 _let_64))))) (let ((_let_99 (not _let_77))) (let ((_let_100 (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_76 _let_75 _let_99))))) (let ((_let_101 (_let_56))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.sk_c4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_101)))) (let ((_let_104 (_let_53))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.sk_c5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_104)))) (let ((_let_107 (_let_54))) (let ((_let_108 (ASSUME :args _let_107))) (let ((_let_109 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (tptp.sk_c6 QUANTIFIERS_INST_ENUM)) :args _let_107)))) (let ((_let_110 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_56 (= X4 X1)))))) (let ((_let_111 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_53 (= X5 X2)))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (_let_58))) (let ((_let_114 (ASSUME :args _let_113))) (let ((_let_115 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.sk_c6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_113)))) (let ((_let_116 (not _let_80))) (let ((_let_117 (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_76 _let_79 _let_116))))) (let ((_let_118 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_52)) (MACRO_SR_EQ_INTRO :args (_let_52 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (_let_118))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_120)) _let_119 :args (_let_82 false _let_118)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.sk_c8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_120)) _let_119 :args (_let_83 false _let_118)))) (let ((_let_123 (tptp.sk_c9 QUANTIFIERS_INST_ENUM))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args _let_123) :args _let_120)) _let_119 :args (_let_84 false _let_118)))) (let ((_let_125 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_126 (EQ_RESOLVE (ASSUME :args (_let_51)) (MACRO_SR_EQ_INTRO :args (_let_51 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_127 (_let_125))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args _let_123) :args _let_127)) _let_126 :args (_let_87 false _let_125)))) (let ((_let_129 (_let_50))) (let ((_let_130 (ASSUME :args _let_129))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_85 tptp.sk_c9 tptp.sk_c8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_129)) _let_130 :args (_let_88 false _let_50)))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.sk_c4 QUANTIFIERS_INST_ENUM)) :args _let_127)) _let_126 :args (_let_90 false _let_125)))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (tptp.identity tptp.identity tptp.sk_c5 QUANTIFIERS_INST_ENUM)) :args _let_129)) _let_130 :args (_let_92 false _let_50)))) (let ((_let_134 (tptp.sk_c5 QUANTIFIERS_INST_ENUM))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args _let_134) :args _let_120)) _let_119 :args (_let_93 false _let_118)))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args _let_134) :args _let_127)) _let_126 :args (_let_94 false _let_125)))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_14 tptp.sk_c4 tptp.sk_c9 QUANTIFIERS_INST_CBQI_PROP)) :args _let_129)) _let_130 :args (_let_95 false _let_50)))) (let ((_let_138 (not _let_88))) (let ((_let_139 (not _let_87))) (let ((_let_140 (not _let_84))) (let ((_let_141 (not _let_83))) (let ((_let_142 (not _let_82))) (let ((_let_143 (and _let_68 _let_69 _let_61 _let_59 _let_71 _let_82 _let_83 _let_84 _let_87 _let_88 _let_90 _let_92 _let_93 _let_94 _let_95))) (let ((_let_144 (APPLY_UF tptp.multiply))) (let ((_let_145 (ASSUME :args (_let_61)))) (let ((_let_146 (SYMM _let_145))) (let ((_let_147 (ASSUME :args (_let_83)))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (REFL :args (tptp.sk_c8)))) (let ((_let_150 (ASSUME :args (_let_87)))) (let ((_let_151 (SYMM _let_150))) (let ((_let_152 (CONG _let_151 _let_149 :args _let_144))) (let ((_let_153 (ASSUME :args (_let_88)))) (let ((_let_154 (SYMM _let_153))) (let ((_let_155 (ASSUME :args (_let_69)))) (let ((_let_156 (ASSUME :args (_let_68)))) (let ((_let_157 (ASSUME :args (_let_95)))) (let ((_let_158 (ASSUME :args (_let_84)))) (let ((_let_159 (SYMM _let_158))) (let ((_let_160 (ASSUME :args (_let_90)))) (let ((_let_161 (ASSUME :args (_let_82)))) (let ((_let_162 (SYMM _let_161))) (let ((_let_163 (CONG _let_162 _let_158 :args _let_144))) (let ((_let_164 (CONG _let_161 (REFL :args (tptp.sk_c9)) :args _let_144))) (let ((_let_165 (REFL :args (_let_85)))) (let ((_let_166 (CONG _let_165 (TRANS _let_158 _let_164 _let_163 (CONG (SYMM (SYMM _let_160)) _let_159 :args _let_144) (SYMM (SYMM _let_157)) (CONG (REFL :args (_let_14)) (SYMM _let_156) :args _let_144) (CONG (SYMM _let_155) _let_149 :args _let_144)) :args _let_144))) (let ((_let_167 (ASSUME :args (_let_93)))) (let ((_let_168 (SYMM _let_167))) (let ((_let_169 (CONG _let_162 (REFL :args (tptp.sk_c5)) :args _let_144))) (let ((_let_170 (ASSUME :args (_let_92)))) (let ((_let_171 (SYMM _let_170))) (let ((_let_172 (SYMM _let_166))) (let ((_let_173 (SYMM _let_152))) (let ((_let_174 (ASSUME :args (_let_59)))) (let ((_let_175 (SYMM _let_174))) (let ((_let_176 (ASSUME :args (_let_94)))) (let ((_let_177 (SYMM (SYMM _let_176)))) (let ((_let_178 (REFL :args (tptp.sk_c6)))) (let ((_let_179 (ASSUME :args (_let_71)))) (let ((_let_180 (SYMM (SYMM _let_179)))) (let ((_let_181 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_143)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_145 _let_167 _let_161 _let_170 _let_150 _let_158 _let_160 _let_157 _let_156 _let_155 _let_153 _let_147 _let_174 _let_176 _let_179) (SCOPE (TRANS _let_180 (CONG _let_178 (TRANS _let_147 _let_173 _let_153 _let_172 _let_151 _let_161 (CONG (TRANS _let_177 (CONG (TRANS _let_175 _let_147 _let_173 _let_153 _let_172 _let_151) _let_167 :args _let_144) _let_171 _let_169 _let_168) (TRANS _let_150 _let_166 _let_154 _let_152 _let_148) :args _let_144) _let_146) :args _let_144)) :args (_let_61 _let_93 _let_82 _let_92 _let_87 _let_84 _let_90 _let_95 _let_68 _let_69 _let_88 _let_83 _let_59 _let_94 _let_71))) :args (_let_68 _let_69 _let_61 _let_59 _let_71 _let_82 _let_83 _let_84 _let_87 _let_88 _let_90 _let_92 _let_93 _let_94 _let_95))) :args (true _let_143)) :args ((or _let_73 _let_72 _let_62 _let_60 _let_75 _let_142 _let_141 _let_140 _let_139 _let_138 (not _let_90) (not _let_92) (not _let_93) (not _let_94) _let_78 (not _let_95)))))) (let ((_let_182 (not _let_66))) (let ((_let_183 (or _let_67 _let_182))) (let ((_let_184 (= tptp.sk_c8 _let_22))) (let ((_let_185 (= tptp.sk_c7 _let_28))) (let ((_let_186 (tptp.multiply _let_34 tptp.sk_c1))) (let ((_let_187 (= tptp.identity _let_186))) (let ((_let_188 (= (tptp.multiply _let_186 tptp.sk_c9) (tptp.multiply _let_34 _let_42)))) (let ((_let_189 (REORDERING (CNF_OR_POS :args (_let_183)) :args ((or _let_67 _let_182 (not _let_183)))))) (let ((_let_190 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.sk_c1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_101)))) (let ((_let_191 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.sk_c1 QUANTIFIERS_INST_ENUM)) :args _let_127)) _let_126 :args (_let_187 false _let_125)))) (let ((_let_192 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_34 tptp.sk_c1 tptp.sk_c9 QUANTIFIERS_INST_CBQI_PROP)) :args _let_129)) _let_130 :args (_let_188 false _let_50)))) (let ((_let_193 (and _let_65 _let_61 _let_59 _let_71 _let_66 _let_82 _let_83 _let_187 _let_84 _let_87 _let_188 _let_88 _let_92 _let_93 _let_94))) (let ((_let_194 (ASSUME :args (_let_65)))) (let ((_let_195 (ASSUME :args (_let_66)))) (let ((_let_196 (ASSUME :args (_let_188)))) (let ((_let_197 (ASSUME :args (_let_187)))) (let ((_let_198 (CONG _let_165 (TRANS _let_158 _let_164 _let_163 (CONG (SYMM (SYMM _let_197)) _let_159 :args _let_144) (SYMM (SYMM _let_196)) (CONG (SYMM _let_195) (SYMM _let_194) :args _let_144)) :args _let_144))) (let ((_let_199 (SYMM _let_198))) (let ((_let_200 (RESOLUTION (CNF_AND_NEG :args (_let_193)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_145 _let_167 _let_161 _let_170 _let_150 _let_158 _let_197 _let_196 _let_195 _let_194 _let_153 _let_147 _let_174 _let_176 _let_179) (SCOPE (TRANS _let_180 (CONG _let_178 (TRANS _let_147 _let_173 _let_153 _let_199 _let_151 _let_161 (CONG (TRANS _let_177 (CONG (TRANS _let_175 _let_147 _let_173 _let_153 _let_199 _let_151) _let_167 :args _let_144) _let_171 _let_169 _let_168) (TRANS _let_150 _let_198 _let_154 _let_152 _let_148) :args _let_144) _let_146) :args _let_144)) :args (_let_61 _let_93 _let_82 _let_92 _let_87 _let_84 _let_187 _let_188 _let_66 _let_65 _let_88 _let_83 _let_59 _let_94 _let_71))) :args (_let_65 _let_61 _let_59 _let_71 _let_66 _let_82 _let_83 _let_187 _let_84 _let_87 _let_188 _let_88 _let_92 _let_93 _let_94))) :args (true _let_193)))) (let ((_let_201 (not _let_184))) (let ((_let_202 (not _let_185))) (let ((_let_203 (or _let_202 _let_201))) (let ((_let_204 (= tptp.sk_c9 _let_4))) (let ((_let_205 (= tptp.sk_c9 _let_18))) (let ((_let_206 (tptp.multiply tptp.identity tptp.sk_c2))) (let ((_let_207 (= (tptp.multiply _let_81 tptp.sk_c2) (tptp.multiply tptp.identity _let_206)))) (let ((_let_208 (= tptp.sk_c2 _let_206))) (let ((_let_209 (= tptp.identity (tptp.multiply _let_22 tptp.sk_c2)))) (let ((_let_210 (REORDERING (CNF_OR_POS :args (_let_203)) :args ((or _let_202 _let_201 (not _let_203)))))) (let ((_let_211 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.sk_c2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_104)))) (let ((_let_212 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (tptp.identity tptp.identity tptp.sk_c2 QUANTIFIERS_INST_ENUM)) :args _let_129)) _let_130 :args (_let_207 false _let_50)))) (let ((_let_213 (tptp.sk_c2 QUANTIFIERS_INST_ENUM))) (let ((_let_214 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args _let_213) :args _let_120)) _let_119 :args (_let_208 false _let_118)))) (let ((_let_215 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args _let_213) :args _let_127)) _let_126 :args (_let_209 false _let_125)))) (let ((_let_216 (and _let_65 _let_71 _let_66 _let_185 _let_184 _let_82 _let_83 _let_187 _let_84 _let_87 _let_188 _let_88 _let_207 _let_208 _let_209))) (let ((_let_217 (ASSUME :args (_let_185)))) (let ((_let_218 (SYMM _let_217))) (let ((_let_219 (TRANS _let_147 _let_173 _let_153 _let_199 _let_151))) (let ((_let_220 (CONG _let_219 _let_219 :args _let_144))) (let ((_let_221 (REFL :args (tptp.sk_c2)))) (let ((_let_222 (SYMM _let_220))) (let ((_let_223 (ASSUME :args (_let_208)))) (let ((_let_224 (SYMM _let_223))) (let ((_let_225 (ASSUME :args (_let_207)))) (let ((_let_226 (SYMM _let_225))) (let ((_let_227 (ASSUME :args (_let_184)))) (let ((_let_228 (SYMM _let_227))) (let ((_let_229 (ASSUME :args (_let_209)))) (let ((_let_230 (SYMM _let_229))) (let ((_let_231 (RESOLUTION (CNF_AND_NEG :args (_let_216)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_217 _let_147 _let_150 _let_153 _let_195 _let_194 _let_196 _let_197 _let_158 _let_161 _let_223 _let_225 _let_227 _let_229 _let_179) (SCOPE (TRANS _let_180 (CONG _let_178 (TRANS _let_147 _let_173 _let_153 _let_199 _let_151 _let_161 (CONG (TRANS (SYMM _let_230) (CONG (TRANS _let_228 _let_147 _let_173 _let_153 _let_199 _let_151) _let_223 :args _let_144) _let_226 (CONG _let_162 _let_221 :args _let_144) _let_224) (TRANS _let_161 _let_222) :args _let_144) (CONG _let_221 (TRANS _let_220 _let_162 _let_150 _let_198 _let_154 _let_152 _let_148) :args _let_144) _let_218) :args _let_144)) :args (_let_185 _let_83 _let_87 _let_88 _let_66 _let_65 _let_188 _let_187 _let_84 _let_82 _let_208 _let_207 _let_184 _let_209 _let_71))) :args (_let_65 _let_71 _let_66 _let_185 _let_184 _let_82 _let_83 _let_187 _let_84 _let_87 _let_188 _let_88 _let_207 _let_208 _let_209))) :args (true _let_216)))) (let ((_let_232 (not _let_204))) (let ((_let_233 (not _let_205))) (let ((_let_234 (or _let_233 _let_232))) (let ((_let_235 (= tptp.sk_c9 (tptp.multiply tptp.sk_c3 tptp.sk_c8)))) (let ((_let_236 (not _let_235))) (let ((_let_237 (or _let_233 _let_236))) (let ((_let_238 (tptp.sk_c3 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_239 (ASSUME :args (_let_236)))) (let ((_let_240 (ASSUME :args (_let_204)))) (let ((_let_241 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_112 _let_115 _let_111 _let_117 _let_109 _let_106 _let_200 _let_136 _let_135 _let_133 _let_131 _let_192 _let_128 _let_124 _let_191 _let_122 _let_121 _let_100 _let_98 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_185))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_70 _let_185))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_59 _let_185))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_61 _let_185))) (MACRO_RESOLUTION_TRUST _let_115 _let_112 _let_117 _let_109 _let_231 _let_215 _let_214 _let_212 _let_131 _let_192 _let_128 _let_124 _let_191 _let_122 _let_121 _let_100 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_205))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_70 _let_205))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_147 _let_150 _let_153 _let_195 _let_194 _let_196 _let_197 _let_158 _let_161 _let_229 _let_227 _let_223 _let_225 _let_217 _let_240) (SCOPE (TRANS (SYMM (SYMM _let_240)) (CONG (REFL :args (tptp.sk_c3)) (TRANS (SYMM _let_218) (CONG _let_221 (TRANS _let_147 _let_173 _let_153 _let_199 _let_151 _let_161 _let_222) :args _let_144) (CONG (TRANS _let_223 (CONG _let_161 _let_221 :args _let_144) (SYMM _let_226) (CONG (TRANS _let_150 _let_198 _let_154 _let_152 _let_148 (SYMM _let_228)) _let_224 :args _let_144) _let_230) (TRANS _let_220 _let_162) :args _let_144) _let_162 _let_150 _let_198 _let_154 _let_152 _let_148) :args _let_144)) :args (_let_83 _let_87 _let_88 _let_66 _let_65 _let_188 _let_187 _let_84 _let_82 _let_209 _let_184 _let_208 _let_207 _let_185 _let_204))) _let_239) :args (_let_65 _let_66 _let_185 _let_184 _let_204 _let_82 _let_83 _let_187 _let_84 _let_87 _let_188 _let_88 _let_207 _let_208 _let_209 _let_236)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (SYMM (SYMM (ASSUME :args (_let_235)))))) (FALSE_INTRO _let_239))) :args (_let_235 _let_236)) :args ((not (and _let_65 _let_66 _let_185 _let_184 _let_204 _let_82 _let_83 _let_187 _let_84 _let_87 _let_188 _let_88 _let_207 _let_208 _let_209 _let_236)) SB_LITERAL))) (CONG (REFL :args (_let_67)) (REFL :args (_let_182)) (REFL :args (_let_202)) (REFL :args (_let_201)) (REFL :args (_let_232)) (REFL :args (_let_142)) (REFL :args (_let_141)) (REFL :args ((not _let_187))) (REFL :args (_let_140)) (REFL :args (_let_139)) (REFL :args ((not _let_188))) (REFL :args (_let_138)) (REFL :args ((not _let_207))) (REFL :args ((not _let_208))) (REFL :args ((not _let_209))) (MACRO_SR_PRED_INTRO :args ((= (not _let_236) _let_235))) :args (or))) _let_215 _let_214 _let_212 _let_131 _let_192 _let_128 _let_124 _let_191 _let_122 _let_121 (REORDERING (CNF_OR_POS :args (_let_237)) :args ((or _let_233 _let_236 (not _let_237)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args _let_238) :args _let_107)) _let_112 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args _let_238) :args _let_113)) (REORDERING (CNF_OR_POS :args (_let_234)) :args ((or _let_233 _let_232 (not _let_234)))) _let_111 _let_211 _let_210 _let_110 _let_190 _let_189 :args ((or _let_67 _let_182 _let_202 _let_201 _let_233 _let_232) false _let_209 false _let_208 false _let_207 false _let_88 false _let_188 false _let_87 false _let_84 false _let_187 false _let_83 false _let_82 true _let_235 false _let_237 false _let_54 true _let_58 true _let_234 true _let_57 true _let_53 true _let_203 true _let_55 true _let_56 true _let_183)) (MACRO_RESOLUTION_TRUST _let_115 _let_117 _let_231 _let_215 _let_214 _let_212 _let_131 _let_192 _let_128 _let_124 _let_191 _let_122 _let_121 _let_112 _let_109 _let_100 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_204))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_70 _let_204))) _let_111 _let_211 _let_210 _let_110 _let_190 _let_189 :args ((or _let_204 _let_67 _let_182 _let_202 _let_201) true _let_80 false _let_78 false _let_209 false _let_208 false _let_207 false _let_88 false _let_188 false _let_87 false _let_84 false _let_187 false _let_83 false _let_82 false _let_58 true _let_54 true _let_77 false _let_71 false _let_70 true _let_57 true _let_53 true _let_203 true _let_55 true _let_56 true _let_183)) _let_111 _let_211 _let_210 _let_110 _let_190 _let_189 :args ((or _let_67 _let_182 _let_202 _let_201) false _let_58 true _let_80 true _let_54 false _let_78 false _let_209 false _let_208 false _let_207 false _let_88 false _let_188 false _let_87 false _let_84 false _let_187 false _let_83 false _let_82 true _let_77 false _let_71 false _let_70 true _let_205 false _let_204 true _let_57 true _let_53 true _let_203 true _let_55 true _let_56 true _let_183)) (MACRO_RESOLUTION_TRUST _let_112 _let_111 _let_106 _let_98 _let_115 _let_117 _let_200 _let_136 _let_135 _let_133 _let_131 _let_192 _let_128 _let_124 _let_191 _let_122 _let_121 _let_109 _let_100 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_184))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_70 _let_184))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_59 _let_184))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_61 _let_184))) _let_110 _let_190 _let_189 :args ((or _let_184 _let_67 _let_182) true _let_57 true _let_53 true _let_63 true _let_58 true _let_80 false _let_78 false _let_94 false _let_93 false _let_92 false _let_88 false _let_188 false _let_87 false _let_84 false _let_187 false _let_83 false _let_82 true _let_54 true _let_77 false _let_71 false _let_70 false _let_59 false _let_61 true _let_55 true _let_56 true _let_183)) _let_110 _let_190 _let_189 :args (_let_183 true _let_58 true _let_57 true _let_80 true _let_54 true _let_53 false _let_78 false _let_94 false _let_93 false _let_92 false _let_88 false _let_188 false _let_87 false _let_84 false _let_187 false _let_83 false _let_82 true _let_77 true _let_63 false _let_71 false _let_70 false _let_59 false _let_61 true _let_185 false _let_184 true _let_55 true _let_56 true _let_183)) (MACRO_RESOLUTION_TRUST _let_181 _let_137 _let_136 _let_135 _let_133 _let_132 _let_131 _let_128 _let_124 _let_122 _let_121 _let_117 _let_115 _let_112 _let_111 _let_110 _let_109 _let_106 _let_103 _let_100 _let_98 _let_97 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_71 _let_66))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_70 _let_66))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_38)) (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_59 _let_66))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_61 _let_66))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_69 _let_66))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_68 _let_66))) :args (_let_66 false _let_95 false _let_94 false _let_93 false _let_92 false _let_90 false _let_88 false _let_87 false _let_84 false _let_83 false _let_82 true _let_78 false _let_80 false _let_58 true _let_57 true _let_55 true _let_54 true _let_53 true _let_56 true _let_77 true _let_63 true _let_74 false _let_71 false _let_70 false _let_59 false _let_61 false _let_69 false _let_68)) :args (_let_67 false _let_66)))) (let ((_let_242 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_46)) (MACRO_SR_EQ_INTRO :args (_let_46 SB_DEFAULT SBA_FIXPOINT))) _let_241 :args (_let_59 true _let_65)))) (let ((_let_243 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_47)) (MACRO_SR_EQ_INTRO :args (_let_47 SB_DEFAULT SBA_FIXPOINT))) _let_241 :args (_let_61 true _let_65)))) (let ((_let_244 (MACRO_RESOLUTION_TRUST _let_106 (MACRO_RESOLUTION_TRUST _let_98 _let_243 _let_242 :args (_let_64 false _let_61 false _let_59)) :args ((not _let_53) true _let_63)))) (let ((_let_245 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))) _let_241 :args (_let_71 true _let_65)))) (let ((_let_246 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_45)) (MACRO_SR_EQ_INTRO :args (_let_45 SB_DEFAULT SBA_FIXPOINT))) _let_241 :args (_let_70 true _let_65)))) (let ((_let_247 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO :args (_let_48 SB_DEFAULT SBA_FIXPOINT))) _let_241 :args (_let_69 true _let_65)))) (let ((_let_248 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_49)) (MACRO_SR_EQ_INTRO :args (_let_49 SB_DEFAULT SBA_FIXPOINT))) _let_241 :args (_let_68 true _let_65)))) (let ((_let_249 (MACRO_RESOLUTION_TRUST _let_103 (MACRO_RESOLUTION_TRUST _let_97 _let_248 _let_247 :args (_let_96 false _let_68 false _let_69)) :args ((not _let_56) true _let_74)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_112 (MACRO_RESOLUTION_TRUST _let_115 (MACRO_RESOLUTION_TRUST _let_117 _let_246 (MACRO_RESOLUTION_TRUST _let_181 _let_248 _let_247 _let_243 _let_242 _let_245 _let_121 _let_122 _let_124 _let_128 _let_131 _let_132 _let_133 _let_135 _let_136 _let_137 :args (_let_78 false _let_68 false _let_69 false _let_61 false _let_59 false _let_71 false _let_82 false _let_83 false _let_84 false _let_87 false _let_88 false _let_90 false _let_92 false _let_93 false _let_94 false _let_95)) :args (_let_116 false _let_70 false _let_78)) :args ((not _let_58) true _let_80)) (MACRO_RESOLUTION_TRUST _let_111 _let_244 :args ((not _let_57) true _let_53)) _let_249 (MACRO_RESOLUTION_TRUST _let_110 _let_249 :args ((not _let_55) true _let_56)) (MACRO_RESOLUTION_TRUST _let_109 (MACRO_RESOLUTION_TRUST _let_100 _let_246 _let_245 :args (_let_99 false _let_70 false _let_71)) :args ((not _let_54) true _let_77)) _let_244 :args (false true _let_58 true _let_57 true _let_56 true _let_55 true _let_54 true _let_53)) :args (_let_52 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_41 _let_40 _let_39 _let_38 _let_37 _let_36 (or _let_29 _let_17) (or _let_29 _let_15) _let_33 _let_32 _let_31 _let_30 (or _let_23 _let_17) (or _let_23 _let_15) _let_27 _let_26 _let_25 _let_24 (or _let_19 _let_17) (or _let_19 _let_15) (or _let_19 _let_13) (or _let_19 _let_11) _let_21 _let_20 (or _let_5 _let_17) (or _let_5 _let_15) (or _let_5 _let_13) (or _let_5 _let_11) _let_9 _let_6 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.68/11.01  )
% 10.68/11.01  % SZS output end Proof for GRP247-1
% 10.68/11.01  % cvc5---1.0.5 exiting
% 10.85/11.01  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------