TSTP Solution File: LCL902+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL902+1 : TPTP v8.1.2. Released v5.5.0.
% 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 07:04:11 EDT 2023
% Result : Theorem 0.51s 0.83s
% Output : Proof 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL902+1 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.14 % 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 : Thu Aug 24 17:56:32 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.54 %----Proving TF0_NAR, FOF, or CNF
% 0.51/0.83 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Pao1slv97T/cvc5---1.0.5_3214.p...
% 0.51/0.83 ------- get file name : TPTP file name is LCL902+1
% 0.51/0.83 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3214.smt2...
% 0.51/0.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.51/0.83 % SZS status Theorem for LCL902+1
% 0.51/0.83 % SZS output start Proof for LCL902+1
% 0.51/0.83 (
% 0.51/0.83 (let ((_let_1 (not (forall ((X17 $$unsorted)) (= (|tptp.'==>'| (|tptp.'==>'| X17 |tptp.'1'|) |tptp.'1'|) X17))))) (let ((_let_2 (forall ((A $$unsorted)) (= (|tptp.'==>'| (|tptp.'==>'| (|tptp.'==>'| A |tptp.'1'|) A) A) |tptp.'0'|)))) (let ((_let_3 (forall ((A $$unsorted)) (= (|tptp.'+'| A |tptp.'1'|) |tptp.'1'|)))) (let ((_let_4 (forall ((X14 $$unsorted) (X15 $$unsorted) (X16 $$unsorted)) (=> (|tptp.'>='| X14 X15) (|tptp.'>='| (|tptp.'==>'| X16 X14) (|tptp.'==>'| X16 X15)))))) (let ((_let_5 (forall ((X11 $$unsorted) (X12 $$unsorted) (X13 $$unsorted)) (=> (|tptp.'>='| X11 X12) (|tptp.'>='| (|tptp.'==>'| X12 X13) (|tptp.'==>'| X11 X13)))))) (let ((_let_6 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted)) (=> (|tptp.'>='| X8 X9) (|tptp.'>='| (|tptp.'+'| X8 X10) (|tptp.'+'| X9 X10)))))) (let ((_let_7 (forall ((A $$unsorted)) (|tptp.'>='| A |tptp.'0'|)))) (let ((_let_8 (forall ((X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (= (|tptp.'>='| (|tptp.'+'| X5 X6) X7) (|tptp.'>='| X6 (|tptp.'==>'| X5 X7)))))) (let ((_let_9 (forall ((X3 $$unsorted) (X4 $$unsorted)) (=> (and (|tptp.'>='| X3 X4) (|tptp.'>='| X4 X3)) (= X3 X4))))) (let ((_let_10 (forall ((A $$unsorted)) (|tptp.'>='| A A)))) (let ((_let_11 (forall ((A $$unsorted)) (= (|tptp.'+'| A |tptp.'0'|) A)))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (|tptp.'+'| A B) (|tptp.'+'| B A))))) (let ((_let_13 (|tptp.'==>'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 |tptp.'1'|))) (let ((_let_14 (|tptp.'==>'| _let_13 |tptp.'1'|))) (let ((_let_15 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14))) (let ((_let_16 (|tptp.'+'| |tptp.'0'| |tptp.'1'|))) (let ((_let_17 (= _let_16 (|tptp.'+'| |tptp.'1'| |tptp.'0'|)))) (let ((_let_18 (= |tptp.'1'| _let_16))) (let ((_let_19 (|tptp.'==>'| _let_14 _let_13))) (let ((_let_20 (|tptp.'+'| |tptp.'0'| _let_19))) (let ((_let_21 (|tptp.'+'| _let_19 |tptp.'0'|))) (let ((_let_22 (= _let_21 _let_20))) (let ((_let_23 (= _let_19 _let_21))) (let ((_let_24 (|tptp.'+'| _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (|tptp.'+'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_26 (= _let_25 _let_24))) (let ((_let_27 (= _let_13 (|tptp.'+'| _let_13 |tptp.'0'|)))) (let ((_let_28 (|tptp.'==>'| _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_29 (|tptp.'+'| _let_28 |tptp.'0'|))) (let ((_let_30 (= _let_28 _let_29))) (let ((_let_31 (= |tptp.'1'| _let_25))) (let ((_let_32 (|tptp.'+'| _let_13 _let_14))) (let ((_let_33 (= |tptp.'1'| _let_32))) (let ((_let_34 (= _let_13 _let_21))) (let ((_let_35 (|tptp.'+'| _let_13 _let_28))) (let ((_let_36 (|tptp.'==>'| _let_13 _let_35))) (let ((_let_37 (= _let_28 _let_36))) (let ((_let_38 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_29))) (let ((_let_39 (forall ((X17 $$unsorted)) (= X17 (|tptp.'==>'| (|tptp.'==>'| X17 |tptp.'1'|) |tptp.'1'|))))) (let ((_let_40 (not _let_15))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (not _let_39))) (let ((_let_43 (_let_12))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (forall ((A $$unsorted)) (= |tptp.'1'| (|tptp.'+'| A |tptp.'1'|))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (_let_45))) (let ((_let_48 (|tptp.'0'| QUANTIFIERS_INST_ENUM))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args _let_48) :args _let_47)) _let_46 :args (_let_18 false _let_45)))) (let ((_let_50 ((|tptp.'+'| A B)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_19 |tptp.'0'| QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_43)) _let_44 :args (_let_22 false _let_12)))) (let ((_let_52 (forall ((A $$unsorted)) (= A (|tptp.'+'| A |tptp.'0'|))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (_let_52))) (let ((_let_55 ((|tptp.'+'| A |tptp.'0'|)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) _let_53 :args (_let_23 false _let_52)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_43)) _let_44 :args (_let_26 false _let_12)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) _let_53 :args (_let_30 false _let_52)))) (let ((_let_59 (|tptp.'>='| |tptp.'1'| _let_25))) (let ((_let_60 (not _let_59))) (let ((_let_61 (|tptp.'>='| _let_25 |tptp.'1'|))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_60 _let_31))) (let ((_let_64 (forall ((X3 $$unsorted) (X4 $$unsorted)) (or (not (|tptp.'>='| X3 X4)) (not (|tptp.'>='| X4 X3)) (= X3 X4))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (_let_64))) (let ((_let_67 ((not (= (|tptp.'>='| X3 X4) false))))) (let ((_let_68 (|tptp.'+'| _let_19 |tptp.'1'|))) (let ((_let_69 (|tptp.'+'| _let_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_70 (|tptp.'>='| _let_69 _let_24))) (let ((_let_71 (= |tptp.'1'| (|tptp.'+'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 |tptp.'1'|)))) (let ((_let_72 (= (|tptp.'+'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_68) _let_69))) (let ((_let_73 (= |tptp.'1'| _let_68))) (let ((_let_74 (|tptp.'==>'| |tptp.'0'| |tptp.'1'|))) (let ((_let_75 (|tptp.'==>'| _let_74 |tptp.'0'|))) (let ((_let_76 (= |tptp.'1'| (|tptp.'+'| _let_75 |tptp.'1'|)))) (let ((_let_77 (|tptp.'>='| _let_68 _let_21))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_70))) (let ((_let_80 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted)) (or (not (|tptp.'>='| X8 X9)) (|tptp.'>='| (|tptp.'+'| X8 X10) (|tptp.'+'| X9 X10)))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (_let_80))) (let ((_let_83 (|tptp.'+'| X9 X10))) (let ((_let_84 (|tptp.'+'| X8 X10))) (let ((_let_85 ((not (= (|tptp.'>='| _let_84 _let_83) true))))) (let ((_let_86 (|tptp.'+'| |tptp.'1'| _let_19))) (let ((_let_87 (|tptp.'>='| _let_86 _let_20))) (let ((_let_88 (= _let_68 _let_86))) (let ((_let_89 (|tptp.'>='| |tptp.'1'| |tptp.'0'|))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_87))) (let ((_let_92 (_let_83 _let_84))) (let ((_let_93 (_let_7))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (|tptp.'1'| QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (|tptp.'>='| A |tptp.'0'|) true))))) :args _let_93)) _let_94 :args (_let_89 false _let_7)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_19 |tptp.'1'| QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_43)) _let_44 :args (_let_88 false _let_12)))) (let ((_let_97 (and _let_22 _let_88 _let_87))) (let ((_let_98 (ASSUME :args (_let_87)))) (let ((_let_99 (APPLY_UF |tptp.'>='|))) (let ((_let_100 (ASSUME :args (_let_22)))) (let ((_let_101 (SYMM _let_100))) (let ((_let_102 (ASSUME :args (_let_88)))) (let ((_let_103 (SYMM _let_102))) (let ((_let_104 ((not (= (|tptp.'+'| A |tptp.'1'|) |tptp.'1'|))))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_47)) _let_46 :args (_let_71 false _let_45)))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_68 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_43)) _let_44 :args (_let_72 false _let_12)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_47)) _let_46 :args (_let_73 false _let_45)))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_75 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_47)) _let_46 :args (_let_76 false _let_45)))) (let ((_let_109 (not _let_71))) (let ((_let_110 (not _let_26))) (let ((_let_111 (not _let_72))) (let ((_let_112 (not _let_73))) (let ((_let_113 (not _let_76))) (let ((_let_114 (and _let_76 _let_73 _let_72 _let_26 _let_71 _let_70))) (let ((_let_115 (ASSUME :args (_let_70)))) (let ((_let_116 (ASSUME :args (_let_26)))) (let ((_let_117 (SYMM _let_116))) (let ((_let_118 (ASSUME :args (_let_72)))) (let ((_let_119 (APPLY_UF |tptp.'+'|))) (let ((_let_120 (ASSUME :args (_let_73)))) (let ((_let_121 (SYMM _let_120))) (let ((_let_122 (SYMM _let_121))) (let ((_let_123 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_124 (ASSUME :args (_let_71)))) (let ((_let_125 (ASSUME :args (_let_76)))) (let ((_let_126 (SYMM _let_125))) (let ((_let_127 (TRANS _let_125 (TRANS _let_126 (SYMM (SYMM _let_124)) (CONG _let_123 _let_122 :args _let_119) (SYMM (SYMM _let_118)))))) (let ((_let_128 (|tptp.'>='| _let_21 _let_13))) (let ((_let_129 (= _let_128 _let_61))) (let ((_let_130 (_let_8))) (let ((_let_131 (ASSUME :args _let_130))) (let ((_let_132 (|tptp.'==>'| X5 X7))) (let ((_let_133 ((|tptp.'>='| X6 _let_132)))) (let ((_let_134 (|tptp.'==>'| _let_19 _let_13))) (let ((_let_135 (|tptp.'>='| |tptp.'0'| _let_134))) (let ((_let_136 (= _let_128 _let_135))) (let ((_let_137 (|tptp.'>='| |tptp.'0'| |tptp.'0'|))) (let ((_let_138 (= |tptp.'0'| _let_134))) (let ((_let_139 (_let_10))) (let ((_let_140 (ASSUME :args _let_139))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args _let_48) :args _let_139)) _let_140 :args (_let_137 false _let_10)))) (let ((_let_142 (forall ((A $$unsorted)) (= |tptp.'0'| (|tptp.'==>'| (|tptp.'==>'| (|tptp.'==>'| A |tptp.'1'|) A) A))))) (let ((_let_143 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_144 (_let_142))) (let ((_let_145 ((|tptp.'==>'| A |tptp.'1'|)))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_145)) :args _let_144)) _let_143 :args (_let_138 false _let_142)))) (let ((_let_147 (and _let_138 _let_137))) (let ((_let_148 (ASSUME :args (_let_137)))) (let ((_let_149 (TRUE_INTRO _let_148))) (let ((_let_150 (ASSUME :args (_let_138)))) (let ((_let_151 (SYMM _let_150))) (let ((_let_152 (REFL :args (|tptp.'0'|)))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_136)) :args ((or _let_128 (not _let_135) (not _let_136)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_147)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_148 _let_150) (SCOPE (TRUE_ELIM (TRANS (CONG _let_152 _let_151 :args _let_99) _let_149)) :args (_let_137 _let_138))) :args (_let_138 _let_137))) :args (true _let_147)) _let_146 _let_141 :args (_let_135 false _let_138 false _let_137)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (_let_19 |tptp.'0'| _let_13 QUANTIFIERS_INST_E_MATCHING _let_133)) :args _let_130)) _let_131 :args (_let_136 false _let_8)) :args (_let_128 false _let_135 false _let_136)))) (let ((_let_154 (not _let_128))) (let ((_let_155 (|tptp.'>='| |tptp.'1'| _let_32))) (let ((_let_156 (not _let_155))) (let ((_let_157 (|tptp.'>='| _let_32 |tptp.'1'|))) (let ((_let_158 (not _let_157))) (let ((_let_159 (or _let_158 _let_156 _let_33))) (let ((_let_160 (|tptp.'+'| _let_14 _let_13))) (let ((_let_161 (|tptp.'+'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_162 (|tptp.'>='| _let_161 _let_160))) (let ((_let_163 (= |tptp.'1'| _let_161))) (let ((_let_164 (= _let_32 _let_160))) (let ((_let_165 (|tptp.'>='| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14))) (let ((_let_166 (not _let_165))) (let ((_let_167 (or _let_166 _let_162))) (let ((_let_168 (|tptp.'+'| _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_169 (|tptp.'>='| _let_168 |tptp.'1'|))) (let ((_let_170 (= _let_169 _let_165))) (let ((_let_171 (|tptp.'+'| X5 X6))) (let ((_let_172 ((|tptp.'>='| _let_171 X7)))) (let ((_let_173 (= _let_161 _let_168))) (let ((_let_174 (|tptp.'>='| _let_161 |tptp.'1'|))) (let ((_let_175 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_50)) :args _let_43)) _let_44 :args (_let_173 false _let_12)))) (let ((_let_176 (|tptp.'>='| _let_13 _let_13))) (let ((_let_177 (= _let_176 _let_174))) (let ((_let_178 (|tptp.'>='| |tptp.'1'| |tptp.'1'|))) (let ((_let_179 (not _let_178))) (let ((_let_180 (or _let_179 _let_176))) (let ((_let_181 (forall ((X14 $$unsorted) (X15 $$unsorted) (X16 $$unsorted)) (or (not (|tptp.'>='| X14 X15)) (|tptp.'>='| (|tptp.'==>'| X16 X14) (|tptp.'==>'| X16 X15)))))) (let ((_let_182 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_183 (_let_181))) (let ((_let_184 ((|tptp.'==>'| X16 X15) (|tptp.'==>'| X16 X14)))) (let ((_let_185 (|tptp.'>='| _let_16 _let_16))) (let ((_let_186 (not _let_137))) (let ((_let_187 (or _let_186 _let_185))) (let ((_let_188 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_187)) :args ((or _let_186 _let_185 (not _let_187)))) _let_141 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (|tptp.'0'| |tptp.'0'| |tptp.'1'| QUANTIFIERS_INST_E_MATCHING _let_92)) :args _let_82)) _let_81 :args (_let_187 false _let_80)) :args (_let_185 false _let_137 false _let_187)))) (let ((_let_189 (not _let_185))) (let ((_let_190 (not _let_18))) (let ((_let_191 (and _let_18 _let_185))) (let ((_let_192 (true _let_191))) (let ((_let_193 (_let_18 _let_185))) (let ((_let_194 (_let_185 _let_18))) (let ((_let_195 (ASSUME :args (_let_185)))) (let ((_let_196 (TRUE_INTRO _let_195))) (let ((_let_197 (ASSUME :args (_let_18)))) (let ((_let_198 (SYMM _let_197))) (let ((_let_199 (SYMM _let_198))) (let ((_let_200 (AND_INTRO _let_195 _let_197))) (let ((_let_201 (CNF_AND_NEG :args (_let_191)))) (let ((_let_202 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_201 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_200 (SCOPE (TRUE_ELIM (TRANS (CONG _let_199 _let_199 :args _let_99) _let_196)) :args _let_194)) :args _let_193)) :args _let_192) :args ((or _let_178 _let_190 _let_189))) _let_49 _let_188 :args (_let_178 false _let_18 false _let_185)))) (let ((_let_203 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_180)) :args ((or _let_179 _let_176 (not _let_180)))) _let_202 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_182 :args (|tptp.'1'| |tptp.'1'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_184)) :args _let_183)) _let_182 :args (_let_180 false _let_181)) :args (_let_176 false 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(_let_114)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_115 _let_118 _let_120 _let_124 _let_125 _let_116) (SCOPE (TRUE_ELIM (TRANS (CONG _let_127 (SYMM _let_117) :args _let_99) (TRUE_INTRO _let_115))) :args (_let_70 _let_72 _let_73 _let_71 _let_76 _let_26))) :args (_let_76 _let_73 _let_72 _let_26 _let_71 _let_70))) :args (true _let_114)) :args ((or _let_113 _let_112 _let_59 _let_111 _let_110 _let_109 (not _let_70)))) _let_108 _let_107 _let_106 _let_57 _let_105 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_78 _let_70 (not _let_79)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_97)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_98 _let_102 _let_100) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_103) (SYMM _let_101) :args _let_99) (TRUE_INTRO _let_98))) :args (_let_87 _let_88 _let_22))) :args (_let_22 _let_88 _let_87))) :args (true _let_97)) _let_51 _let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_90 _let_87 (not _let_91)))) _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (|tptp.'1'| |tptp.'0'| _let_19 QUANTIFIERS_INST_E_MATCHING _let_92)) :args _let_82)) _let_81 :args (_let_91 false _let_80)) :args (_let_87 false _let_89 false _let_91)) :args (_let_77 false _let_22 false _let_88 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_68 _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_82)) _let_81 :args (_let_79 false _let_80)) :args (_let_70 false _let_77 false _let_79)) :args (_let_59 false _let_76 false _let_73 false _let_72 false _let_26 false _let_71 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_25 |tptp.'1'| QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66))) _let_65 :args (_let_63 false _let_64)) :args (_let_31 false _let_61 false _let_59 false _let_63)) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) _let_53 :args (_let_27 false _let_52)) _let_57 _let_56 _let_51 _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (|tptp.'0'| |tptp.'1'| QUANTIFIERS_INST_ENUM)) :args _let_43)) _let_44 :args (_let_17 false _let_12)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_41) :args (_let_42))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_39))) (REFL :args (_let_40)) :args (or))) _let_41 :args (_let_40 true _let_39)) :args (false false _let_38 false _let_37 false _let_34 false _let_33 false _let_31 false _let_30 false _let_27 false _let_26 false _let_23 false _let_22 false _let_18 false _let_17 true _let_15)) :args ((forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (|tptp.'+'| (|tptp.'+'| A B) C) (|tptp.'+'| A (|tptp.'+'| B C)))) _let_12 _let_11 _let_10 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (=> (and (|tptp.'>='| X0 X1) (|tptp.'>='| X1 X2)) (|tptp.'>='| X0 X2))) _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.51/0.83 )
% 0.51/0.83 % SZS output end Proof for LCL902+1
% 0.51/0.83 % cvc5---1.0.5 exiting
% 0.51/0.83 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------