%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL893+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 07:04:09 EDT 2023

% Result   : Theorem 0.21s 0.69s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL893+1 : TPTP v8.1.2. Released v5.5.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.19/0.35  % Computer : n016.cluster.edu
% 0.19/0.35  % Model    : x86_64 x86_64
% 0.19/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35  % Memory   : 8042.1875MB
% 0.19/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35  % CPULimit   : 300
% 0.19/0.35  % WCLimit    : 300
% 0.19/0.35  % DateTime   : Thu Aug 24 19:45:24 EDT 2023
% 0.19/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.69  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.VGSZV3dJ8h/cvc5---1.0.5_27962.p...
% 0.21/0.69  ------- get file name : TPTP file name is LCL893+1
% 0.21/0.69  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27962.smt2...
% 0.21/0.69  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.69  % SZS status Theorem for LCL893+1
% 0.21/0.69  % SZS output start Proof for LCL893+1
% 0.21/0.69  (
% 0.21/0.69  (let ((_let_1 (not (forall ((X17 $$unsorted)) (=> (= (tptp.h X17) X17) (= X17 |tptp.'0'|)))))) (let ((_let_2 (forall ((A $$unsorted)) (let ((_let_1 (tptp.h A))) (= _let_1 (|tptp.'==>'| _let_1 A)))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (|tptp.'+'| A (|tptp.'==>'| A B)) (|tptp.'+'| B (|tptp.'==>'| B A)))))) (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 ((A $$unsorted)) (|tptp.'>='| A |tptp.'0'|)))) (let ((_let_7 (forall ((X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (= (|tptp.'>='| (|tptp.'+'| X5 X6) X7) (|tptp.'>='| X6 (|tptp.'==>'| X5 X7)))))) (let ((_let_8 (forall ((X3 $$unsorted) (X4 $$unsorted)) (=> (and (|tptp.'>='| X3 X4) (|tptp.'>='| X4 X3)) (= X3 X4))))) (let ((_let_9 (forall ((A $$unsorted)) (|tptp.'>='| A A)))) (let ((_let_10 (forall ((A $$unsorted)) (= (|tptp.'+'| A |tptp.'0'|) A)))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (= (|tptp.'+'| A B) (|tptp.'+'| B A))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (|tptp.'+'| (|tptp.'+'| A B) C) (|tptp.'+'| A (|tptp.'+'| B C)))))) (let ((_let_13 (tptp.h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (|tptp.'==>'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_15 (|tptp.'+'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14))) (let ((_let_16 (|tptp.'==>'| _let_15 _let_15))) (let ((_let_17 (|tptp.'>='| |tptp.'0'| _let_16))) (let ((_let_18 (|tptp.'>='| (|tptp.'+'| _let_15 |tptp.'0'|) _let_15))) (let ((_let_19 (= _let_18 _let_17))) (let ((_let_20 (_let_7))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (|tptp.'==>'| X5 X7))) (let ((_let_23 ((|tptp.'>='| X6 _let_22)))) (let ((_let_24 (|tptp.'>='| |tptp.'0'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (|tptp.'==>'| _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (= _let_25 _let_16))) (let ((_let_27 (|tptp.'==>'| _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_28 (= _let_27 _let_25))) (let ((_let_29 (= _let_13 _let_27))) (let ((_let_30 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_31 (not _let_17))) (let ((_let_32 (= |tptp.'0'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (not _let_24))) (let ((_let_34 (|tptp.'>='| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 |tptp.'0'|))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_32))) (let ((_let_37 (forall ((X3 $$unsorted) (X4 $$unsorted)) (or (not (|tptp.'>='| X3 X4)) (not (|tptp.'>='| X4 X3)) (= X3 X4))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_37))) (let ((_let_40 (_let_6))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_43 (not _let_30))) (let ((_let_44 (or _let_43 _let_32))) (let ((_let_45 (forall ((X17 $$unsorted)) (or (not (= X17 (tptp.h X17))) (= |tptp.'0'| X17))))) (let ((_let_46 (not _let_44))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (or))) (let ((_let_49 (not _let_45))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_47) :args (_let_49))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_45))) (REFL :args (_let_46)) :args _let_48)) _let_47 :args (_let_46 true _let_45)))) (let ((_let_51 (|tptp.'>='| _let_16 _let_25))) (let ((_let_52 (not _let_51))) (let ((_let_53 (|tptp.'>='| _let_25 _let_16))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_52 _let_26))) (let ((_let_56 ((not (= (|tptp.'>='| X3 X4) false))))) (let ((_let_57 (|tptp.'>='| _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_51))) (let ((_let_60 (forall ((X14 $$unsorted) (X15 $$unsorted) (X16 $$unsorted)) (or (not (|tptp.'>='| X14 X15)) (|tptp.'>='| (|tptp.'==>'| X16 X14) (|tptp.'==>'| X16 X15)))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (_let_60))) (let ((_let_63 ((|tptp.'==>'| X16 X15) (|tptp.'==>'| X16 X14)))) (let ((_let_64 (|tptp.'>='| _let_14 (|tptp.'==>'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_65 (= _let_57 _let_64))) (let ((_let_66 (|tptp.'+'| X5 X6))) (let ((_let_67 (_let_66 _let_22))) (let ((_let_68 (|tptp.'>='| _let_27 _let_27))) (let ((_let_69 (_let_9))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 ((not (= (|tptp.'>='| A A) true))))) (let ((_let_72 (_let_2))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.h A)))) :args _let_72)) _let_73 :args (_let_29 false _let_2)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_44 0)) (CONG (REFL :args (_let_44)) (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_30))) :args _let_48)) :args ((or _let_30 _let_44))) _let_50 :args (_let_30 true _let_44)))) (let ((_let_76 (not _let_29))) (let ((_let_77 (and _let_30 _let_29 _let_68))) (let ((_let_78 (ASSUME :args (_let_68)))) (let ((_let_79 (APPLY_UF |tptp.'>='|))) (let ((_let_80 (ASSUME :args (_let_29)))) (let ((_let_81 (SYMM _let_80))) (let ((_let_82 (SYMM _let_81))) (let ((_let_83 (APPLY_UF |tptp.'==>'|))) (let ((_let_84 (ASSUME :args (_let_30)))) (let ((_let_85 (SYMM _let_84))) (let ((_let_86 (SYMM _let_85))) (let ((_let_87 (SYMM _let_86))) (let ((_let_88 (CONG _let_86 _let_87 :args _let_83))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_65)) :args ((or _let_57 (not _let_64) (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_77)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_78 _let_80 _let_84) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_88 _let_81) (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_86 :args _let_83) _let_88 _let_81) :args _let_79) (CONG _let_82 _let_82 :args _let_79) (TRUE_INTRO _let_78))) :args (_let_68 _let_29 _let_30))) :args (_let_30 _let_29 _let_68))) :args (true _let_77)) :args ((or _let_43 _let_76 _let_64 (not _let_68)))) _let_75 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_68 false _let_9)) :args (_let_64 false _let_30 false _let_29 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_20)) _let_21 :args (_let_65 false _let_7)) :args (_let_57 false _let_64 false _let_65)))) (let ((_let_90 (|tptp.'+'| _let_15 _let_25))) (let ((_let_91 (|tptp.'>='| _let_90 _let_15))) (let ((_let_92 (= _let_91 _let_53))) (let ((_let_93 ((|tptp.'>='| _let_66 X7)))) (let ((_let_94 (|tptp.'==>'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15))) (let ((_let_95 (= (|tptp.'+'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_94) _let_90))) (let ((_let_96 (= _let_14 _let_94))) (let ((_let_97 (|tptp.'>='| _let_15 _let_15))) (let ((_let_98 (_let_3))) (let ((_let_99 (ASSUME :args _let_98))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((|tptp.'==>'| A B)))) :args _let_98)) _let_99 :args (_let_95 false _let_3)))) (let ((_let_101 (|tptp.'>='| _let_94 _let_14))) (let ((_let_102 (not _let_101))) (let ((_let_103 (|tptp.'>='| _let_14 _let_94))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_104 _let_102 _let_96))) (let ((_let_106 (|tptp.'>='| (|tptp.'==>'| _let_13 _let_15) _let_27))) (let ((_let_107 (or _let_58 _let_106))) (let ((_let_108 (and _let_30 _let_106))) (let ((_let_109 (ASSUME :args (_let_106)))) (let ((_let_110 (REFL :args (_let_15)))) (let ((_let_111 (= _let_97 _let_103))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_97 false _let_9)))) (let ((_let_113 (not _let_97))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_104 _let_102 _let_96 (not _let_105)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_111)) :args ((or _let_113 _let_103 (not _let_111)))) _let_112 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 _let_15 QUANTIFIERS_INST_E_MATCHING _let_93)) :args _let_20)) _let_21 :args (_let_111 false _let_7)) :args (_let_103 false _let_97 false _let_111)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_108)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_109 _let_84) (SCOPE (TRUE_ELIM (TRANS (CONG (CONG _let_86 _let_110 :args _let_83) _let_88 :args _let_79) (TRUE_INTRO _let_109))) :args (_let_106 _let_30))) :args (_let_30 _let_106))) :args (true _let_108)) :args ((or _let_43 _let_101 (not _let_106)))) _let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_58 _let_106 (not _let_107)))) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_62)) _let_61 :args (_let_107 false _let_60)) :args (_let_106 false _let_57 false _let_107)) :args (_let_101 false _let_30 false _let_106)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_14 _let_94 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_39)) _let_38 :args (_let_105 false _let_37)) :args (_let_96 false _let_103 false _let_101 false _let_105)))) (let ((_let_115 (and _let_30 _let_97 _let_96 _let_95))) (let ((_let_116 (ASSUME :args (_let_97)))) (let ((_let_117 (TRUE_INTRO _let_116))) (let ((_let_118 (APPLY_UF |tptp.'+'|))) (let ((_let_119 (CONG _let_85 _let_86 :args _let_83))) (let ((_let_120 (CONG _let_85 _let_119 :args _let_118))) (let ((_let_121 (SYMM _let_119))) (let ((_let_122 (ASSUME :args (_let_96)))) (let ((_let_123 (SYMM _let_122))) (let ((_let_124 (CONG _let_86 (TRANS _let_123 _let_121) :args _let_118))) (let ((_let_125 (ASSUME :args (_let_95)))) (let ((_let_126 (SYMM _let_125))) (let ((_let_127 (|tptp.'>='| _let_25 _let_27))) (let ((_let_128 (not _let_127))) (let ((_let_129 (|tptp.'>='| _let_27 _let_25))) (let ((_let_130 (not _let_129))) (let ((_let_131 (or _let_130 _let_128 _let_28))) (let ((_let_132 (|tptp.'>='| (|tptp.'+'| _let_13 _let_25) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_133 (= _let_127 _let_132))) (let ((_let_134 (|tptp.'+'| _let_14 _let_25))) (let ((_let_135 (|tptp.'>='| _let_134 _let_94))) (let ((_let_136 (|tptp.'+'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_134))) (let ((_let_137 (|tptp.'>='| _let_136 _let_15))) (let ((_let_138 (= _let_137 _let_135))) (let ((_let_139 (= _let_90 _let_136))) (let ((_let_140 (_let_12))) (let ((_let_141 (ASSUME :args _let_140))) (let ((_let_142 (and _let_30 _let_97 _let_96 _let_95 _let_139))) (let ((_let_143 (ASSUME :args (_let_139)))) (let ((_let_144 (not _let_96))) (let ((_let_145 (and _let_30 _let_29 _let_96 _let_135))) (let ((_let_146 (ASSUME :args (_let_135)))) (let ((_let_147 (REFL :args (_let_25)))) (let ((_let_148 (TRANS _let_86 _let_82 _let_119))) (let ((_let_149 (|tptp.'>='| _let_15 _let_13))) (let ((_let_150 (not _let_149))) (let ((_let_151 (or _let_150 _let_129))) (let ((_let_152 (forall ((X11 $$unsorted) (X12 $$unsorted) (X13 $$unsorted)) (or (not (|tptp.'>='| X11 X12)) (|tptp.'>='| (|tptp.'==>'| X12 X13) (|tptp.'==>'| X11 X13)))))) (let ((_let_153 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_154 (and _let_30 _let_57))) (let ((_let_155 (ASSUME :args (_let_57)))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_130 _let_128 _let_28 (not _let_131)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_151)) :args ((or _let_150 _let_129 (not _let_151)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_154)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_155 _let_84) (SCOPE (TRUE_ELIM (TRANS (CONG _let_110 _let_87 :args _let_79) (TRUE_INTRO _let_155))) :args (_let_57 _let_30))) :args (_let_30 _let_57))) :args (true _let_154)) _let_75 _let_89 :args (_let_149 false _let_30 false _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_153 :args (_let_15 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((|tptp.'==>'| X12 X13) (|tptp.'==>'| X11 X13)))) :args (_let_152))) _let_153 :args (_let_151 false _let_152)) :args (_let_129 false _let_149 false _let_151)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_133)) :args ((or _let_127 (not _let_132) (not _let_133)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_145)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_146 _let_122 _let_84 _let_80) (SCOPE (TRUE_ELIM (TRANS (CONG (CONG (TRANS _let_85 _let_148) _let_147 :args _let_118) (TRANS _let_86 _let_82 _let_119 (SYMM _let_123)) :args _let_79) (TRUE_INTRO _let_146))) :args (_let_135 _let_96 _let_30 _let_29))) :args (_let_30 _let_29 _let_96 _let_135))) :args (true _let_145)) :args ((or _let_43 _let_76 _let_144 _let_132 (not _let_135)))) _let_75 _let_74 _let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_138)) :args ((or _let_135 (not _let_137) (not _let_138)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_142)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_116 _let_84 _let_122 _let_125 _let_143) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (SYMM _let_143) _let_126 _let_124 _let_120) _let_110 :args _let_79) _let_117)) :args (_let_97 _let_30 _let_96 _let_95 _let_139))) :args (_let_30 _let_97 _let_96 _let_95 _let_139))) :args (true _let_142)) _let_75 _let_112 _let_114 _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 _let_25 QUANTIFIERS_INST_E_MATCHING ((|tptp.'+'| (|tptp.'+'| A B) C)))) :args _let_140)) _let_141 :args (_let_139 false _let_12)) :args (_let_137 false _let_30 false _let_97 false _let_96 false _let_95 false _let_139)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_134 _let_15 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_20)) _let_21 :args (_let_138 false _let_7)) :args (_let_135 false _let_137 false _let_138)) :args (_let_132 false _let_30 false _let_29 false _let_96 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_13 _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_23)) :args _let_20))) _let_21 :args (_let_133 false _let_7)) :args (_let_127 false _let_132 false _let_133)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_27 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_39)) _let_38 :args (_let_131 false _let_37)) :args (_let_28 false _let_129 false _let_127 false _let_131)))) (let ((_let_157 (not _let_28))) (let ((_let_158 (and _let_30 _let_29 _let_28 _let_26 _let_33))) (let ((_let_159 (ASSUME :args (_let_33)))) (let ((_let_160 (ASSUME :args (_let_28)))) (let ((_let_161 (SYMM (SYMM _let_160)))) (let ((_let_162 (ASSUME :args (_let_26)))) (let ((_let_163 (REFL :args (|tptp.'0'|)))) (let ((_let_164 (|tptp.'+'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 |tptp.'0'|))) (let ((_let_165 (= (|tptp.'+'| (|tptp.'+'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) |tptp.'0'|) (|tptp.'+'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_164)))) (let ((_let_166 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_164))) (let ((_let_167 (= _let_134 (|tptp.'+'| _let_25 _let_14)))) (let ((_let_168 (|tptp.'+'| _let_25 _let_15))) (let ((_let_169 (= _let_168 (|tptp.'+'| (|tptp.'+'| _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_14)))) (let ((_let_170 (= _let_90 _let_168))) (let ((_let_171 (= (|tptp.'+'| _let_13 _let_15) (|tptp.'+'| (|tptp.'+'| _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_14)))) (let ((_let_172 ((|tptp.'+'| A (|tptp.'+'| B C))))) (let ((_let_173 (forall ((A $$unsorted)) (= A (|tptp.'+'| A |tptp.'0'|))))) (let ((_let_174 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_175 (_let_11))) (let ((_let_176 (ASSUME :args _let_175))) (let ((_let_177 ((|tptp.'+'| A B)))) (let ((_let_178 (and _let_30 _let_29 _let_97 _let_171 _let_96 _let_95 _let_170 _let_169 _let_167 _let_28 _let_166 _let_165))) (let ((_let_179 (ASSUME :args (_let_170)))) (let ((_let_180 (ASSUME :args (_let_169)))) (let ((_let_181 (TRANS _let_121 _let_81))) (let ((_let_182 (ASSUME :args (_let_167)))) (let ((_let_183 (CONG (SYMM _let_181) _let_147 :args _let_118))) (let ((_let_184 (TRANS (CONG (TRANS (SYMM _let_183) (TRANS _let_183 (SYMM (SYMM _let_182)) (CONG _let_147 _let_181 :args _let_118)) (CONG _let_147 _let_85 :args _let_118)) _let_148 :args _let_118) (SYMM _let_180) (SYMM _let_179) _let_126 _let_124 _let_120))) (let ((_let_185 (CONG _let_184 _let_147 :args _let_118))) (let ((_let_186 (SYMM _let_184))) (let ((_let_187 (CONG _let_186 (TRANS _let_82 _let_161) :args _let_118))) (let ((_let_188 (TRANS _let_86 _let_82))) (let ((_let_189 (CONG (TRANS (CONG (REFL :args (_let_13)) _let_188 :args _let_118) _let_120) _let_181 :args _let_118))) (let ((_let_190 (ASSUME :args (_let_171)))) (let ((_let_191 (SYMM _let_190))) (let ((_let_192 (SYMM _let_191))) (let ((_let_193 (TRANS _let_192 _let_189 _let_187 _let_185 _let_126 _let_124 _let_120))) (let ((_let_194 (SYMM _let_193))) (let ((_let_195 (ASSUME :args (_let_166)))) (let ((_let_196 (ASSUME :args (_let_165)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_19)) :args ((or _let_17 (not _let_18) (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_178)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_116 _let_84 _let_122 _let_125 _let_179 _let_180 _let_80 _let_182 _let_160 _let_190 _let_195 _let_196) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS (CONG (TRANS _let_194 (TRANS _let_192 _let_189 _let_187 _let_185 _let_126 _let_124 (CONG _let_85 (SYMM _let_188) :args _let_118))) _let_163 :args _let_118) (SYMM (SYMM _let_196)) (CONG _let_86 (TRANS (SYMM _let_195) _let_86 _let_82) :args _let_118) (SYMM _let_124) _let_125 (SYMM _let_185) (SYMM _let_187) (SYMM _let_189) _let_191) _let_193) _let_194 :args _let_79) (CONG _let_186 _let_193 :args _let_79) (CONG _let_184 _let_110 :args _let_79) _let_117)) :args (_let_97 _let_30 _let_96 _let_95 _let_170 _let_169 _let_29 _let_167 _let_28 _let_171 _let_166 _let_165))) :args (_let_30 _let_29 _let_97 _let_171 _let_96 _let_95 _let_170 _let_169 _let_167 _let_28 _let_166 _let_165))) :args (true _let_178)) :args ((or _let_43 _let_76 _let_113 (not _let_171) _let_144 (not _let_95) (not _let_170) (not _let_169) (not _let_167) _let_157 (not _let_166) _let_18 (not _let_165)))) _let_75 _let_74 _let_112 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_140))) _let_141 :args (_let_171 false _let_12)) _let_114 _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_176 :args (_let_15 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_177)) :args _let_175)) _let_176 :args (_let_170 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_140))) _let_141 :args (_let_169 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_176 :args (_let_14 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_177)) :args _let_175)) _let_176 :args (_let_167 false _let_11)) _let_156 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args _let_42) :args (_let_173))) _let_174 :args (_let_166 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 |tptp.'0'| QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_140)) _let_141 :args (_let_165 false _let_12)) :args (_let_18 false _let_30 false _let_29 false _let_97 false _let_171 false _let_96 false _let_95 false _let_170 false _let_169 false _let_167 false _let_28 false _let_166 false _let_165)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_158)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_159 _let_84 _let_80 _let_160 _let_162) (SCOPE (FALSE_ELIM (TRANS (CONG _let_163 (TRANS (SYMM _let_162) (SYMM _let_161) (SYMM _let_82) _let_87) :args _let_79) (FALSE_INTRO _let_159))) :args (_let_33 _let_30 _let_29 _let_28 _let_26))) :args (_let_30 _let_29 _let_28 _let_26 _let_33))) :args (true _let_158)) (CONG (REFL :args (_let_43)) (REFL :args (_let_76)) (REFL :args (_let_157)) (REFL :args ((not _let_26))) (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_24))) (REFL :args (_let_31)) :args _let_48)) _let_75 _let_74 _let_156 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_54 _let_52 _let_26 (not _let_55)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_92)) :args ((or _let_53 (not _let_91) (not _let_92)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_115)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_116 _let_84 _let_122 _let_125) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_126 _let_124 _let_120) _let_110 :args _let_79) _let_117)) :args (_let_97 _let_30 _let_96 _let_95))) :args (_let_30 _let_97 _let_96 _let_95))) :args (true _let_115)) _let_75 _let_112 _let_114 _let_100 :args (_let_91 false _let_30 false _let_97 false _let_96 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_15 _let_25 _let_15 QUANTIFIERS_INST_E_MATCHING _let_93)) :args _let_20)) _let_21 :args (_let_92 false _let_7)) :args (_let_53 false _let_91 false _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_51 (not _let_59)))) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_62)) _let_61 :args (_let_59 false _let_60)) :args (_let_51 false _let_57 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_25 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_39)) _let_38 :args (_let_55 false _let_37)) :args (_let_26 false _let_53 false _let_51 false _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_32 _let_35 _let_33 (not _let_36)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_44 1)) _let_50 :args ((not _let_32) true _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args _let_42) :args _let_40)) _let_41 :args (_let_34 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 |tptp.'0'| QUANTIFIERS_INST_ENUM)) :args _let_39))) _let_38 :args (_let_36 false _let_37)) :args (_let_33 true _let_32 false _let_34 false _let_36)) :args (_let_31 false _let_30 false _let_29 false _let_28 false _let_26 true _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_15 |tptp.'0'| _let_15 QUANTIFIERS_INST_E_MATCHING _let_23)) :args _let_20)) _let_21 :args (_let_19 false _let_7)) :args (false false _let_18 true _let_17 false _let_19)) :args (_let_12 _let_11 _let_10 (forall ((A $$unsorted)) (= (|tptp.'+'| A |tptp.'1'|) |tptp.'1'|)) _let_9 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (=> (and (|tptp.'>='| X0 X1) (|tptp.'>='| X1 X2)) (|tptp.'>='| X0 X2))) _let_8 _let_7 _let_6 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted)) (=> (|tptp.'>='| X8 X9) (|tptp.'>='| (|tptp.'+'| X8 X10) (|tptp.'+'| X9 X10)))) _let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.69  )
% 0.21/0.69  % SZS output end Proof for LCL893+1
% 0.21/0.69  % cvc5---1.0.5 exiting
% 0.21/0.70  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------