TSTP Solution File: LCL896+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL896+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 07:04:10 EDT 2023
% Result : Theorem 5.54s 5.85s
% Output : Proof 5.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL896+1 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n013.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 : Fri Aug 25 04:18:17 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 5.54/5.85 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.5dtEdTisj6/cvc5---1.0.5_15228.p...
% 5.54/5.85 ------- get file name : TPTP file name is LCL896+1
% 5.54/5.85 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15228.smt2...
% 5.54/5.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 5.54/5.85 % SZS status Theorem for LCL896+1
% 5.54/5.85 % SZS output start Proof for LCL896+1
% 5.54/5.85 (
% 5.54/5.85 (let ((_let_1 (forall ((X17 $$unsorted) (X18 $$unsorted)) (= (|tptp.'+'| X17 (|tptp.'==>'| X17 X18)) (|tptp.'+'| X18 (|tptp.'==>'| X18 X17)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (|tptp.'+'| A (|tptp.'==>'| A B)))) (= (|tptp.'+'| _let_1 (|tptp.'==>'| _let_1 C)) (|tptp.'+'| A (|tptp.'==>'| A (|tptp.'+'| B (|tptp.'==>'| B C))))))))) (let ((_let_4 (forall ((X14 $$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 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (|tptp.'+'| (|tptp.'+'| A B) C) (|tptp.'+'| A (|tptp.'+'| B C)))))) (let ((_let_14 (|tptp.'==>'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (|tptp.'+'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))) (let ((_let_16 (|tptp.'==>'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_17 (|tptp.'+'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_18 (= _let_17 _let_15))) (let ((_let_19 (|tptp.'+'| _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (= _let_17 _let_19))) (let ((_let_21 (|tptp.'+'| |tptp.'0'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_22 (|tptp.'+'| _let_21 _let_14))) (let ((_let_23 (|tptp.'+'| |tptp.'0'| _let_15))) (let ((_let_24 (= _let_23 _let_22))) (let ((_let_25 (|tptp.'+'| _let_15 |tptp.'0'|))) (let ((_let_26 (= _let_23 _let_25))) (let ((_let_27 (= _let_15 _let_25))) (let ((_let_28 (|tptp.'==>'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15))) (let ((_let_29 (|tptp.'+'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28))) (let ((_let_30 (|tptp.'==>'| _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_31 (|tptp.'+'| _let_17 _let_30))) (let ((_let_32 (= _let_31 _let_29))) (let ((_let_33 (= _let_19 _let_31))) (let ((_let_34 (= _let_15 _let_29))) (let ((_let_35 (not _let_18))) (let ((_let_36 (_let_2))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (or))) (let ((_let_39 (_let_35))) (let ((_let_40 (_let_12))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 ((|tptp.'+'| A B)))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_20 false _let_12)))) (let ((_let_44 (_let_13))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 ((|tptp.'+'| A (|tptp.'+'| B C))))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_45 :args (|tptp.'0'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_44))) _let_45 :args (_let_24 false _let_13)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (|tptp.'0'| _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_26 false _let_12)))) (let ((_let_49 (forall ((A $$unsorted)) (= A (|tptp.'+'| A |tptp.'0'|))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_49))) (let ((_let_52 ((|tptp.'+'| A |tptp.'0'|)))) (let ((_let_53 (_let_3))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 ((|tptp.'==>'| A (|tptp.'+'| B (|tptp.'==>'| B C)))))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_53)) _let_54 :args (_let_32 false _let_3)))) (let ((_let_57 (|tptp.'>='| _let_31 _let_19))) (let ((_let_58 (not _let_57))) (let ((_let_59 (|tptp.'>='| _let_19 _let_31))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_58 _let_33))) (let ((_let_62 (forall ((X3 $$unsorted) (X4 $$unsorted)) (or (not (|tptp.'>='| X3 X4)) (not (|tptp.'>='| X4 X3)) (= X3 X4))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (_let_62))) (let ((_let_65 ((not (= (|tptp.'>='| X3 X4) false))))) (let ((_let_66 (|tptp.'+'| _let_30 _let_17))) (let ((_let_67 (|tptp.'+'| |tptp.'0'| _let_17))) (let ((_let_68 (|tptp.'>='| _let_67 _let_66))) (let ((_let_69 (= _let_31 _let_66))) (let ((_let_70 (|tptp.'+'| |tptp.'0'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_71 (= (|tptp.'+'| _let_70 _let_16) _let_67))) (let ((_let_72 (|tptp.'+'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 |tptp.'0'|))) (let ((_let_73 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_72))) (let ((_let_74 (= _let_70 _let_72))) (let ((_let_75 (|tptp.'>='| |tptp.'0'| _let_30))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_68))) (let ((_let_78 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted)) (or (not (|tptp.'>='| X8 X9)) (|tptp.'>='| (|tptp.'+'| X8 X10) (|tptp.'+'| X9 X10)))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (_let_78))) (let ((_let_81 ((|tptp.'+'| X9 X10) (|tptp.'+'| X8 X10)))) (let ((_let_82 (|tptp.'==>'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_83 (|tptp.'>='| _let_82 _let_30))) (let ((_let_84 (|tptp.'==>'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_70))) (let ((_let_85 (= |tptp.'0'| _let_84))) (let ((_let_86 (|tptp.'==>'| |tptp.'0'| |tptp.'0'|))) (let ((_let_87 (|tptp.'+'| |tptp.'0'| _let_86))) (let ((_let_88 (|tptp.'==>'| |tptp.'0'| _let_87))) (let ((_let_89 (|tptp.'+'| _let_88 |tptp.'0'|))) (let ((_let_90 (= _let_88 _let_89))) (let ((_let_91 (|tptp.'+'| _let_86 |tptp.'0'|))) (let ((_let_92 (= _let_86 _let_91))) (let ((_let_93 (= |tptp.'0'| _let_86))) (let ((_let_94 (|tptp.'+'| |tptp.'0'| _let_88))) (let ((_let_95 (= _let_94 _let_89))) (let ((_let_96 (= _let_87 _let_91))) (let ((_let_97 (|tptp.'+'| |tptp.'0'| |tptp.'0'|))) (let ((_let_98 (= (|tptp.'+'| _let_97 _let_88) (|tptp.'+'| |tptp.'0'| _let_94)))) (let ((_let_99 (= |tptp.'0'| _let_97))) (let ((_let_100 (|tptp.'>='| _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_101 (not _let_100))) (let ((_let_102 (or _let_101 _let_83))) (let ((_let_103 (forall ((X11 $$unsorted) (X12 $$unsorted) (X13 $$unsorted)) (or (not (|tptp.'>='| X11 X12)) (|tptp.'>='| (|tptp.'==>'| X12 X13) (|tptp.'==>'| X11 X13)))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (_let_103))) (let ((_let_106 ((|tptp.'==>'| X12 X13) (|tptp.'==>'| X11 X13)))) (let ((_let_107 (|tptp.'>='| _let_19 _let_70))) (let ((_let_108 (|tptp.'>='| _let_16 |tptp.'0'|))) (let ((_let_109 (not _let_108))) (let ((_let_110 (or _let_109 _let_107))) (let ((_let_111 (|tptp.'+'| _let_16 |tptp.'0'|))) (let ((_let_112 (|tptp.'>='| _let_111 |tptp.'0'|))) (let ((_let_113 (= _let_16 _let_111))) (let ((_let_114 (_let_7))) (let ((_let_115 (ASSUME :args _let_114))) (let ((_let_116 ((not (= (|tptp.'>='| A |tptp.'0'|) true))))) (let ((_let_117 (and _let_113 _let_112))) (let ((_let_118 (ASSUME :args (_let_112)))) (let ((_let_119 (APPLY_UF |tptp.'>='|))) (let ((_let_120 (REFL :args (|tptp.'0'|)))) (let ((_let_121 (ASSUME :args (_let_113)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_73 false _let_49)))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (|tptp.'0'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_40)) _let_41 :args (_let_74 false _let_12)))) (let ((_let_124 (and _let_20 _let_74 _let_73 _let_107))) (let ((_let_125 (ASSUME :args (_let_107)))) (let ((_let_126 (ASSUME :args (_let_74)))) (let ((_let_127 (SYMM _let_126))) (let ((_let_128 (ASSUME :args (_let_73)))) (let ((_let_129 (SYMM (SYMM _let_128)))) (let ((_let_130 (TRANS _let_129 _let_127))) (let ((_let_131 (ASSUME :args (_let_20)))) (let ((_let_132 (SYMM _let_131))) (let ((_let_133 (SYMM _let_132))) (let ((_let_134 (|tptp.'>='| _let_84 |tptp.'0'|))) (let ((_let_135 (not _let_134))) (let ((_let_136 (|tptp.'>='| |tptp.'0'| _let_84))) (let ((_let_137 (not _let_136))) (let ((_let_138 (or _let_137 _let_135 _let_85))) (let ((_let_139 (|tptp.'==>'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 |tptp.'0'|))) (let ((_let_140 (|tptp.'>='| _let_82 _let_139))) (let ((_let_141 (= |tptp.'0'| _let_139))) (let ((_let_142 (|tptp.'>='| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 |tptp.'0'|))) (let ((_let_143 (not _let_142))) (let ((_let_144 (or _let_143 _let_140))) (let ((_let_145 (forall ((X14 $$unsorted) (X15 $$unsorted) (X16 $$unsorted)) (or (not (|tptp.'>='| X14 X15)) (|tptp.'>='| (|tptp.'==>'| X16 X14) (|tptp.'==>'| X16 X15)))))) (let ((_let_146 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_147 (_let_145))) (let ((_let_148 ((|tptp.'==>'| X16 X15) (|tptp.'==>'| X16 X14)))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_114)) _let_115 :args (_let_142 false _let_7)))) (let ((_let_150 (|tptp.'>='| _let_139 |tptp.'0'|))) (let ((_let_151 (not _let_150))) (let ((_let_152 (|tptp.'>='| |tptp.'0'| _let_139))) (let ((_let_153 (not _let_152))) (let ((_let_154 (or _let_153 _let_151 _let_141))) (let ((_let_155 (|tptp.'>='| _let_72 |tptp.'0'|))) (let ((_let_156 (= _let_155 _let_152))) (let ((_let_157 (_let_8))) (let ((_let_158 (ASSUME :args _let_157))) (let ((_let_159 (|tptp.'+'| X5 X6))) (let ((_let_160 ((|tptp.'>='| _let_159 X7)))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_86 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_92 false _let_49)))) (let ((_let_162 (|tptp.'>='| _let_86 |tptp.'0'|))) (let ((_let_163 (not _let_162))) (let ((_let_164 (|tptp.'>='| |tptp.'0'| _let_86))) (let ((_let_165 (not _let_164))) (let ((_let_166 (or _let_165 _let_163 _let_93))) (let ((_let_167 (|tptp.'>='| _let_97 |tptp.'0'|))) (let ((_let_168 (= _let_167 _let_164))) (let ((_let_169 (|tptp.'>='| |tptp.'0'| |tptp.'0'|))) (let ((_let_170 (|tptp.'0'| QUANTIFIERS_INST_ENUM))) (let ((_let_171 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args _let_170) :args _let_51)) _let_50 :args (_let_99 false _let_49)))) (let ((_let_172 (_let_10))) (let ((_let_173 (ASSUME :args _let_172))) (let ((_let_174 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args _let_170) :args _let_172)) _let_173 :args (_let_169 false _let_10)))) (let ((_let_175 (not _let_99))) (let ((_let_176 (not _let_169))) (let ((_let_177 (and _let_99 _let_169))) (let ((_let_178 (ASSUME :args (_let_169)))) (let ((_let_179 (ASSUME :args (_let_99)))) (let ((_let_180 (SYMM _let_179))) (let ((_let_181 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_166)) :args ((or _let_165 _let_163 _let_93 (not _let_166)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_168)) :args ((or _let_164 (not _let_167) (not _let_168)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_177)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_178 _let_179) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_97)) _let_179 :args _let_119) (CONG _let_180 _let_180 :args _let_119) (TRUE_INTRO _let_178))) :args (_let_169 _let_99))) :args (_let_99 _let_169))) :args (true _let_177)) :args ((or _let_176 _let_167 _let_175))) _let_174 _let_171 :args (_let_167 false _let_169 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (|tptp.'0'| |tptp.'0'| |tptp.'0'| QUANTIFIERS_INST_ENUM)) :args _let_157)) _let_158 :args (_let_168 false _let_8)) :args (_let_164 false _let_167 false _let_168)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_86 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_let_192))) (let ((_let_194 (APPLY_UF |tptp.'==>'|))) (let ((_let_195 (ASSUME :args (_let_92)))) (let ((_let_196 (ASSUME :args (_let_96)))) (let ((_let_197 (SYMM _let_196))) (let ((_let_198 (TRANS (SYMM _let_197) (SYMM _let_195) _let_193))) (let ((_let_199 (CONG _let_120 _let_198 :args _let_194))) (let ((_let_200 (TRANS (CONG _let_120 (TRANS _let_195 _let_197) :args _let_194) _let_199 _let_193))) (let ((_let_201 (and _let_74 _let_73 _let_141 _let_140))) (let ((_let_202 (ASSUME :args (_let_140)))) (let ((_let_203 (ASSUME :args (_let_141)))) (let ((_let_204 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_205 (CONG _let_204 _let_191 :args _let_194))) (let ((_let_206 (|tptp.'>='| _let_72 _let_70))) (let ((_let_207 (= _let_206 _let_136))) (let ((_let_208 (|tptp.'>='| _let_70 _let_70))) (let ((_let_209 (or _let_176 _let_208))) (let ((_let_210 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_209)) :args ((or _let_176 _let_208 (not _let_209)))) _let_174 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QUANTIFIERS_INST_E_MATCHING _let_148)) :args _let_147)) _let_146 :args (_let_446 false _let_145)) :args (_let_444 false _let_318 false _let_446)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_158 :args (|tptp.'0'| _let_282 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_313)) :args _let_157))) _let_158 :args (_let_445 false _let_8)) :args (_let_381 false _let_444 false _let_445)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_437)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_438 _let_360 _let_358 _let_429 _let_439 _let_442 _let_443) (SCOPE (TRUE_ELIM (TRANS (CONG _let_362 (SYMM (SYMM _let_443)) :args _let_119) (CONG (SYMM _let_441) (SYMM _let_442) :args _let_119) (CONG (TRANS (TRANS _let_441 _let_359) _let_406) (REFL :args (_let_282)) :args _let_119) (TRUE_INTRO _let_438))) :args (_let_387 _let_292 _let_306 _let_302 _let_288 _let_385 _let_386))) :args (_let_306 _let_302 _let_387 _let_386 _let_292 _let_288 _let_385))) :args (true _let_437)) :args ((or _let_397 _let_426 (not _let_387) (not _let_386) _let_396 _let_436 _let_379 (not _let_385)))) _let_324 _let_425 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_435)) :args ((or _let_387 (not _let_434) (not _let_435)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_410 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_409 (SCOPE (TRUE_ELIM (TRANS (CONG _let_405 _let_367 :args _let_119) _let_408 _let_407 _let_403)) :args _let_401)) :args _let_400)) :args _let_399) :args ((or _let_319 _let_434 _let_397 _let_396))) _let_321 _let_324 _let_322 :args (_let_434 false _let_318 false _let_306 false _let_292)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (|tptp.'0'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_239)) :args _let_157)) _let_158 :args (_let_435 false _let_8)) :args (_let_387 false _let_434 false _let_435)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (|tptp.'0'| _let_282 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_386 false _let_12)) _let_322 _let_433 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_282 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_385 false _let_49)) :args (_let_379 false _let_306 false _let_302 false _let_387 false _let_386 false _let_292 false _let_288 false _let_385)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_283 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64))) _let_63 :args (_let_383 false _let_62)) :args (_let_284 false _let_381 false _let_379 false _let_383)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23 QUANTIFIERS_INST_E_MATCHING _let_378)) :args _let_53)) _let_54 :args (_let_281 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 |tptp.'0'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_53)) _let_54 :args (_let_279 false _let_3)) _let_266 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_312)) :args ((or _let_275 (not _let_311) (not _let_312)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_352)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_360 _let_353 _let_372 _let_356 _let_358 _let_354 _let_370 _let_375 _let_366 _let_342) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_273)) (TRANS (CONG _let_367 (TRANS _let_377 _let_374 (SYMM _let_369) _let_371) :args _let_194) (CONG _let_367 (TRANS (SYMM _let_371) _let_369 (CONG _let_204 (CONG _let_204 _let_365 :args _let_194) :args _let_225)) :args _let_194)) :args _let_119) (TRUE_INTRO _let_353))) :args (_let_292 _let_314 _let_32 _let_293 _let_306 _let_24 _let_316 _let_33 _let_317 _let_310))) :args (_let_310 _let_317 _let_24 _let_306 _let_293 _let_292 _let_32 _let_316 _let_33 _let_314))) :args (true _let_352)) _let_339 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_329)) :args ((or _let_328 _let_326 _let_317 (not _let_329)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_346)) :args ((or _let_327 (not _let_345) (not _let_346)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_349)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_350 _let_342) (SCOPE (TRUE_ELIM (TRANS (CONG _let_351 _let_343 :args _let_119) (CONG _let_344 _let_344 :args _let_119) (TRUE_INTRO _let_350))) :args (_let_347 _let_310))) :args (_let_310 _let_347))) :args (true _let_349)) _let_339 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_348)) :args ((or _let_338 _let_347 (not _let_348)))) _let_337 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_14 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_81)) :args _let_80)) _let_79 :args (_let_348 false _let_78)) :args (_let_347 false _let_334 false _let_348)) :args (_let_345 false _let_310 false _let_347)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 _let_309 QUANTIFIERS_INST_E_MATCHING _let_160)) :args _let_157)) _let_158 :args (_let_346 false _let_8)) :args (_let_327 false _let_345 false _let_346)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_332)) :args ((or _let_331 _let_325 (not _let_332)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_340)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_341 _let_342) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_344) _let_204 :args _let_119) (TRUE_INTRO _let_341))) :args (_let_333 _let_310))) :args (_let_310 _let_333))) :args (true _let_340)) _let_339 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_335)) :args ((or _let_333 _let_338 (not _let_335)))) _let_337 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_239)) :args _let_157)) _let_158 :args (_let_335 false _let_8)) :args (_let_333 false _let_334 false _let_335)) :args (_let_330 false _let_310 false _let_333)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (_let_309 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_148)) :args _let_147)) _let_146 :args (_let_332 false _let_145)) :args (_let_325 false _let_330 false _let_332)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_14 _let_315 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_329 false _let_62)) :args (_let_317 false _let_327 false _let_325 false _let_329)) _let_47 _let_324 _let_323 _let_322 _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_309 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_53)) _let_54 :args (_let_316 false _let_3)) _let_266 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_320)) :args ((or _let_319 _let_314 (not _let_320)))) _let_321 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_272 QUANTIFIERS_INST_E_MATCHING _let_106)) :args _let_105)) _let_104 :args (_let_320 false _let_103)) :args (_let_314 false _let_318 false _let_320)) :args (_let_311 false _let_310 false _let_317 false _let_24 false _let_306 false _let_293 false _let_292 false _let_32 false _let_316 false _let_33 false _let_314)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_273 _let_19 QUANTIFIERS_INST_E_MATCHING _let_313)) :args _let_157)) _let_158 :args (_let_312 false _let_8)) :args (_let_275 false _let_311 false _let_312)) :args (_let_267 false _let_20 false _let_310 false _let_74 false _let_99 false _let_96 false _let_73 false _let_93 false _let_92 false _let_308 false _let_307 false _let_24 false _let_306 false _let_26 false _let_305 false _let_304 false _let_85 false _let_302 false _let_301 false _let_300 false _let_299 false _let_297 false _let_296 false _let_293 false _let_292 false _let_290 false _let_288 false _let_32 false _let_285 false _let_284 false _let_281 false _let_279 false _let_33 false _let_275)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_29 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64))) _let_63 :args (_let_271 false _let_62)) :args (_let_34 false _let_269 false _let_267 false _let_271)) _let_266 _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_27 false _let_49)) _let_48 _let_47 _let_43 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_37) :args _let_36)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args _let_39) :args _let_38)) _let_37 :args (_let_35 true _let_1)) :args (false false _let_34 false _let_33 false _let_32 false _let_27 false _let_26 false _let_24 false _let_20 true _let_18)) :args (_let_13 _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 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 5.70/5.86 )
% 5.70/5.86 % SZS output end Proof for LCL896+1
% 5.70/5.86 % cvc5---1.0.5 exiting
% 5.70/5.86 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------