TSTP Solution File: LCL899+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL899+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 0.55s 0.78s
% Output : Proof 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL899+1 : TPTP v8.1.2. Released v5.5.0.
% 0.08/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 00:33:08 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.55/0.78 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.SJmUw0Gs2T/cvc5---1.0.5_8536.p...
% 0.55/0.78 ------- get file name : TPTP file name is LCL899+1
% 0.55/0.78 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8536.smt2...
% 0.55/0.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.55/0.78 % SZS status Theorem for LCL899+1
% 0.55/0.78 % SZS output start Proof for LCL899+1
% 0.55/0.78 (
% 0.55/0.78 (let ((_let_1 (not (forall ((X17 $$unsorted)) (= (|tptp.'==>'| (|tptp.'==>'| X17 |tptp.'1'|) |tptp.'1'|) X17))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (|tptp.'==>'| (|tptp.'==>'| A B) B) (|tptp.'==>'| (|tptp.'==>'| B A) A))))) (let ((_let_3 (forall ((A $$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 $$unsorted)) (= (|tptp.'+'| A B) (|tptp.'+'| B A))))) (let ((_let_13 (|tptp.'==>'| |tptp.'1'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (|tptp.'==>'| _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (|tptp.'+'| _let_13 _let_14))) (let ((_let_16 (|tptp.'>='| _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15))) (let ((_let_18 (|tptp.'>='| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15))) (let ((_let_19 (not _let_18))) (let ((_let_20 (not _let_16))) (let ((_let_21 (or _let_20 _let_19 _let_17))) (let ((_let_22 (|tptp.'>='| _let_14 _let_14))) (let ((_let_23 (= _let_22 _let_16))) (let ((_let_24 (_let_8))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 ((|tptp.'>='| X6 (|tptp.'==>'| X5 X7))))) (let ((_let_27 (|tptp.'>='| _let_13 _let_13))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_22))) (let ((_let_30 (forall ((X11 $$unsorted) (X12 $$unsorted) (X13 $$unsorted)) (or (not (|tptp.'>='| X11 X12)) (|tptp.'>='| (|tptp.'==>'| X12 X13) (|tptp.'==>'| X11 X13)))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 ((|tptp.'==>'| X12 X13) (|tptp.'==>'| X11 X13)))) (let ((_let_34 (|tptp.'>='| |tptp.'1'| |tptp.'1'|))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_27))) (let ((_let_37 (|tptp.'+'| |tptp.'0'| |tptp.'1'|))) (let ((_let_38 (|tptp.'>='| _let_37 _let_37))) (let ((_let_39 (= |tptp.'1'| _let_37))) (let ((_let_40 (|tptp.'>='| |tptp.'0'| |tptp.'0'|))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_38))) (let ((_let_43 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted)) (or (not (|tptp.'>='| X8 X9)) (|tptp.'>='| (|tptp.'+'| X8 X10) (|tptp.'+'| X9 X10)))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_10))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (|tptp.'0'| QUANTIFIERS_INST_ENUM))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args _let_47) :args _let_45)) _let_46 :args (_let_40 false _let_10)))) (let ((_let_49 (forall ((A $$unsorted)) (= |tptp.'1'| (|tptp.'+'| A |tptp.'1'|))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_49))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args _let_47) :args _let_51)) _let_50 :args (_let_39 false _let_49)))) (let ((_let_53 (not _let_39))) (let ((_let_54 (and _let_39 _let_38))) (let ((_let_55 (ASSUME :args (_let_38)))) (let ((_let_56 (APPLY_UF |tptp.'>='|))) (let ((_let_57 (ASSUME :args (_let_39)))) (let ((_let_58 (SYMM _let_57))) (let ((_let_59 (SYMM _let_58))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_54)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_55 _let_57) (SCOPE (TRUE_ELIM (TRANS (CONG _let_59 _let_59 :args _let_56) (TRUE_INTRO _let_55))) :args (_let_38 _let_39))) :args (_let_39 _let_38))) :args (true _let_54)) :args ((or _let_34 _let_53 (not _let_38)))) _let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_38 (not _let_42)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (|tptp.'0'| |tptp.'0'| |tptp.'1'| QUANTIFIERS_INST_E_MATCHING ((|tptp.'+'| X9 X10) (|tptp.'+'| X8 X10)))) :args (_let_43))) _let_44 :args (_let_42 false _let_43)) :args (_let_38 false _let_40 false _let_42)) :args (_let_34 false _let_39 false _let_38)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_27 (not _let_36)))) _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (|tptp.'1'| |tptp.'1'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_33)) :args _let_32)) _let_31 :args (_let_36 false _let_30)) :args (_let_27 false _let_34 false _let_36)))) (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 (= _let_14 (|tptp.'+'| _let_14 |tptp.'0'|)))) (let ((_let_67 (|tptp.'==>'| |tptp.'1'| |tptp.'0'|))) (let ((_let_68 (= _let_13 _let_67))) (let ((_let_69 (|tptp.'==>'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 |tptp.'1'|))) (let ((_let_70 (|tptp.'==>'| _let_69 |tptp.'1'|))) (let ((_let_71 (|tptp.'>='| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_70))) (let ((_let_72 (= _let_15 (|tptp.'+'| _let_14 _let_13)))) (let ((_let_73 (|tptp.'==>'| |tptp.'0'| |tptp.'0'|))) (let ((_let_74 (= _let_73 _let_67))) (let ((_let_75 (= |tptp.'0'| _let_73))) (let ((_let_76 (= _let_70 _let_14))) (let ((_let_77 (forall ((A $$unsorted)) (= A (|tptp.'+'| A |tptp.'0'|))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (_let_77))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((|tptp.'+'| A |tptp.'0'|)))) :args _let_79)) _let_78 :args (_let_66 false _let_77)))) (let ((_let_81 (|tptp.'>='| _let_67 _let_13))) (let ((_let_82 (not _let_81))) (let ((_let_83 (|tptp.'>='| _let_13 _let_67))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_84 _let_82 _let_68))) (let ((_let_86 (|tptp.'>='| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 |tptp.'0'|))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_83))) (let ((_let_89 (forall ((X14 $$unsorted) (X15 $$unsorted) (X16 $$unsorted)) (or (not (|tptp.'>='| X14 X15)) (|tptp.'>='| (|tptp.'==>'| X16 X14) (|tptp.'==>'| X16 X15)))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (_let_89))) (let ((_let_92 ((|tptp.'==>'| X16 X15) (|tptp.'==>'| X16 X14)))) (let ((_let_93 (_let_7))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 ((not (= (|tptp.'>='| A |tptp.'0'|) true))))) (let ((_let_96 (|tptp.'>='| (|tptp.'+'| |tptp.'1'| _let_67) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_97 (= _let_81 _let_96))) (let ((_let_98 (|tptp.'+'| _let_13 |tptp.'1'|))) (let ((_let_99 (= |tptp.'1'| _let_98))) (let ((_let_100 (|tptp.'+'| |tptp.'1'| _let_13))) (let ((_let_101 (= _let_100 _let_98))) (let ((_let_102 (|tptp.'>='| _let_100 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_103 (= _let_37 (|tptp.'+'| |tptp.'1'| |tptp.'0'|)))) (let ((_let_104 (_let_12))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 ((|tptp.'+'| A B)))) (let ((_let_107 (= _let_27 _let_102))) (let ((_let_108 (|tptp.'>='| _let_67 _let_73))) (let ((_let_109 (not _let_108))) (let ((_let_110 (|tptp.'>='| _let_73 _let_67))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_111 _let_109 _let_74))) (let ((_let_113 (|tptp.'>='| _let_67 |tptp.'0'|))) (let ((_let_114 (|tptp.'>='| _let_73 |tptp.'0'|))) (let ((_let_115 (not _let_114))) (let ((_let_116 (|tptp.'>='| |tptp.'0'| _let_73))) (let ((_let_117 (not _let_116))) (let ((_let_118 (or _let_117 _let_115 _let_75))) (let ((_let_119 (|tptp.'+'| |tptp.'0'| |tptp.'0'|))) (let ((_let_120 (|tptp.'>='| _let_119 |tptp.'0'|))) (let ((_let_121 (= _let_120 _let_116))) (let ((_let_122 (= |tptp.'0'| _let_119))) (let ((_let_123 (and _let_122 _let_40))) (let ((_let_124 (ASSUME :args (_let_40)))) (let ((_let_125 (ASSUME :args (_let_122)))) (let ((_let_126 (SYMM _let_125))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_117 _let_115 _let_75 (not _let_118)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_121)) :args ((or _let_116 (not _let_120) (not _let_121)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_123)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_124 _let_125) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_119)) _let_125 :args _let_56) (CONG _let_126 _let_126 :args _let_56) (TRUE_INTRO _let_124))) :args (_let_40 _let_122))) :args (_let_122 _let_40))) :args (true _let_123)) :args ((or _let_41 _let_120 (not _let_122)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args _let_47) :args _let_79)) _let_78 :args (_let_122 false _let_77)) :args (_let_120 false _let_40 false _let_122)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (|tptp.'0'| |tptp.'0'| |tptp.'0'| QUANTIFIERS_INST_ENUM)) :args _let_24)) _let_25 :args (_let_121 false _let_8)) :args (_let_116 false _let_120 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_73 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_114 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (|tptp.'0'| _let_73 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_118 false _let_62)) :args (_let_75 false _let_116 false _let_114 false _let_118)))) (let ((_let_128 (not _let_75))) (let ((_let_129 (and _let_75 _let_113))) (let ((_let_130 (ASSUME :args (_let_113)))) (let ((_let_131 (ASSUME :args (_let_75)))) (let ((_let_132 (SYMM _let_131))) (let ((_let_133 (REFL :args (_let_67)))) (let ((_let_134 (|tptp.'>='| |tptp.'1'| |tptp.'0'|))) (let ((_let_135 (not _let_134))) (let ((_let_136 (or _let_135 _let_110))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_111 _let_109 _let_74 (not _let_112)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_136)) :args ((or _let_135 _let_110 (not _let_136)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (|tptp.'1'| QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_134 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (|tptp.'1'| |tptp.'0'| |tptp.'0'| QUANTIFIERS_INST_E_MATCHING _let_33)) :args _let_32)) _let_31 :args (_let_136 false _let_30)) :args (_let_110 false _let_134 false _let_136)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_129)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_130 _let_131) (SCOPE (TRUE_ELIM (TRANS (CONG _let_133 _let_132 :args _let_56) (TRUE_INTRO _let_130))) :args (_let_113 _let_75))) :args (_let_75 _let_113))) :args (true _let_129)) :args ((or _let_128 _let_108 (not _let_113)))) _let_127 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_67 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_113 false _let_7)) :args (_let_108 false _let_75 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_73 _let_67 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_112 false _let_62)) :args (_let_74 false _let_110 false _let_108 false _let_112)))) (let ((_let_138 (not _let_74))) (let ((_let_139 (and _let_103 _let_39 _let_75 _let_74 _let_102 _let_101 _let_99))) (let ((_let_140 (ASSUME :args (_let_102)))) (let ((_let_141 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_142 (ASSUME :args (_let_101)))) (let ((_let_143 (ASSUME :args (_let_99)))) (let ((_let_144 (ASSUME :args (_let_103)))) (let ((_let_145 (SYMM _let_144))) (let ((_let_146 (APPLY_UF |tptp.'+'|))) (let ((_let_147 (ASSUME :args (_let_74)))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (CONG _let_58 (TRANS _let_148 _let_132) :args _let_146))) (let ((_let_150 (CONG _let_57 _let_133 :args _let_146))) (let ((_let_151 (TRANS _let_144 (SYMM _let_149) (SYMM _let_150)))) (let ((_let_152 (TRANS _let_145 _let_58))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_82 _let_84 _let_68 (not _let_85)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_97)) :args ((or _let_81 (not _let_96) (not _let_97)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_139)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_140 _let_142 _let_143 _let_57 _let_144 _let_131 _let_147) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (SYMM _let_151) _let_58 (SYMM _let_152)) _let_141 :args _let_56) (CONG (TRANS _let_152 _let_57 _let_151 (TRANS _let_150 _let_149 _let_145 _let_58 (SYMM (SYMM _let_143)))) _let_141 :args _let_56) (CONG (SYMM _let_142) _let_141 :args _let_56) (TRUE_INTRO _let_140))) :args (_let_102 _let_101 _let_99 _let_39 _let_103 _let_75 _let_74))) :args (_let_103 _let_39 _let_75 _let_74 _let_102 _let_101 _let_99))) :args (true _let_139)) :args ((or (not _let_103) _let_53 _let_128 _let_138 (not _let_102) _let_96 (not _let_101) (not _let_99)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (|tptp.'0'| |tptp.'1'| QUANTIFIERS_INST_ENUM)) :args _let_104)) _let_105 :args (_let_103 false _let_12)) _let_52 _let_127 _let_137 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_107)) :args ((or _let_28 _let_102 (not _let_107)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (|tptp.'1'| _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_24))) _let_25 :args (_let_107 false _let_8)) :args (_let_102 false _let_27 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (|tptp.'1'| _let_13 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_let_93)) _let_94 :args (_let_86 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 |tptp.'0'| |tptp.'1'| QUANTIFIERS_INST_E_MATCHING _let_92)) :args _let_91)) _let_90 :args (_let_88 false _let_89)) :args (_let_83 false _let_86 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_13 _let_67 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_85 false _let_62)) :args (_let_68 false _let_81 false _let_83 false _let_85)))) (let ((_let_154 (|tptp.'+'| _let_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_155 (|tptp.'>='| _let_154 |tptp.'1'|))) (let ((_let_156 (= _let_155 _let_71))) (let ((_let_157 (|tptp.'+'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_69))) (let ((_let_158 (= _let_157 _let_154))) (let ((_let_159 (|tptp.'>='| _let_157 |tptp.'1'|))) (let ((_let_160 (|tptp.'>='| _let_69 _let_69))) (let ((_let_161 (= _let_160 _let_159))) (let ((_let_162 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(ASSUME :args (_let_76)))) (let ((_let_178 (SYMM _let_177))) (let ((_let_179 (ASSUME :args (_let_66)))) (let ((_let_180 (ASSUME :args (_let_68)))) (let ((_let_181 (ASSUME :args (_let_72)))) (let ((_let_182 (TRANS (SYMM (SYMM _let_181)) (CONG _let_178 (TRANS (SYMM (SYMM _let_180)) _let_148 _let_132) :args _let_146) (CONG _let_177 (REFL :args (|tptp.'0'|)) :args _let_146) (SYMM _let_179) _let_178))) (let ((_let_183 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_70))) (let ((_let_184 (not _let_17))) (let ((_let_185 (forall ((X17 $$unsorted)) (= X17 (|tptp.'==>'| (|tptp.'==>'| X17 |tptp.'1'|) |tptp.'1'|))))) (let ((_let_186 (not _let_183))) (let ((_let_187 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_188 (or))) (let ((_let_189 (_let_186))) (let ((_let_190 (not _let_185))) (let ((_let_191 (and _let_186 _let_76 _let_75 _let_74 _let_72 _let_68 _let_66))) (let ((_let_192 (ASSUME :args _let_189))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_19 _let_17 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_191)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_192 _let_177 _let_179 _let_131 _let_147 _let_180 _let_181) (SCOPE (FALSE_ELIM (TRANS (CONG _let_141 _let_182 :args (=)) (FALSE_INTRO _let_192))) :args (_let_186 _let_76 _let_66 _let_75 _let_74 _let_68 _let_72))) :args (_let_186 _let_76 _let_75 _let_74 _let_72 _let_68 _let_66))) :args (true _let_191)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_186) _let_183))) (REFL :args (_let_174)) (REFL :args (_let_128)) (REFL :args (_let_138)) (REFL :args (_let_173)) (REFL :args (_let_172)) (REFL :args (_let_171)) (REFL :args (_let_184)) :args _let_188)) :args ((or _let_183 _let_174 _let_128 _let_138 _let_173 _let_184 _let_172 _let_171))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_187) :args (_let_190))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_190) _let_185))) (REFL :args _let_189) :args _let_188)) _let_187 :args (_let_186 true _let_185)) _let_170 _let_127 _let_137 _let_167 _let_153 _let_80 :args (_let_184 true _let_183 false _let_76 false _let_75 false _let_74 false _let_72 false _let_68 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_175)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_176 _let_177 _let_179 _let_131 _let_147 _let_180 _let_181) (SCOPE (TRUE_ELIM (TRANS (CONG _let_141 _let_182 :args _let_56) (TRUE_INTRO _let_176))) :args (_let_71 _let_76 _let_66 _let_75 _let_74 _let_68 _let_72))) :args (_let_76 _let_75 _let_74 _let_72 _let_71 _let_68 _let_66))) :args (true _let_175)) :args ((or _let_174 _let_128 _let_138 _let_18 _let_173 (not _let_71) _let_172 _let_171))) _let_170 _let_127 _let_137 _let_167 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_156)) :args ((or _let_71 (not _let_155) (not _let_156)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_163)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_165 _let_166) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_166) (REFL :args (|tptp.'1'|)) :args _let_56) (TRUE_INTRO _let_165))) :args _let_164)) :args _let_164)) :args (true _let_163)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_161)) :args ((or (not _let_160) _let_159 (not _let_161)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_162)) :args ((or _let_35 _let_160 (not _let_162)))) _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (|tptp.'1'| |tptp.'1'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_92)) :args _let_91)) _let_90 :args (_let_162 false _let_89)) :args (_let_160 false _let_34 false _let_162)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_69 |tptp.'1'| QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_24))) _let_25 :args (_let_161 false _let_8)) :args (_let_159 false _let_160 false _let_161)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_69 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_104)) _let_105 :args (_let_158 false _let_12)) :args (_let_155 false _let_159 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 |tptp.'1'| QUANTIFIERS_INST_E_MATCHING ((|tptp.'>='| (|tptp.'+'| X5 X6) X7)))) :args _let_24)) _let_25 :args (_let_156 false _let_8)) :args (_let_71 false _let_155 false _let_156)) _let_153 _let_80 :args (_let_18 false _let_76 false _let_75 false _let_74 false _let_72 false _let_71 false _let_68 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64))) _let_63 :args (_let_21 false _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_23)) :args ((or (not _let_22) _let_16 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_22 (not _let_29)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_13 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_33)) :args _let_32)) _let_31 :args (_let_29 false _let_30)) :args (_let_22 false _let_27 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_13 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_24))) _let_25 :args (_let_23 false _let_8)) :args (_let_16 false _let_22 false _let_23)) :args (false true _let_17 false _let_18 false _let_21 false _let_16)) :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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.55/0.79 )
% 0.55/0.79 % SZS output end Proof for LCL899+1
% 0.55/0.79 % cvc5---1.0.5 exiting
% 0.55/0.79 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------