TSTP Solution File: LCL901+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL901+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.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 0.68s 0.85s
% Output : Proof 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL901+1 : TPTP v8.1.2. Released v5.5.0.
% 0.10/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n017.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 00:59:24 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.68/0.85 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.8Qm1BzSaSN/cvc5---1.0.5_31671.p...
% 0.68/0.85 ------- get file name : TPTP file name is LCL901+1
% 0.68/0.85 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31671.smt2...
% 0.68/0.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.68/0.85 % SZS status Theorem for LCL901+1
% 0.68/0.85 % SZS output start Proof for LCL901+1
% 0.68/0.85 (
% 0.68/0.85 (let ((_let_1 (not (forall ((X17 $$unsorted)) (= (|tptp.'==>'| (|tptp.'==>'| (|tptp.'==>'| X17 |tptp.'1'|) X17) X17) |tptp.'0'|))))) (let ((_let_2 (forall ((A $$unsorted)) (= (|tptp.'+'| A A) A)))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (|tptp.'==>'| (|tptp.'==>'| A B) B) (|tptp.'==>'| (|tptp.'==>'| B A) A))))) (let ((_let_4 (forall ((A $$unsorted)) (= (|tptp.'+'| A |tptp.'1'|) |tptp.'1'|)))) (let ((_let_5 (forall ((X14 $$unsorted) (X15 $$unsorted) (X16 $$unsorted)) (=> (|tptp.'>='| X14 X15) (|tptp.'>='| (|tptp.'==>'| X16 X14) (|tptp.'==>'| X16 X15)))))) (let ((_let_6 (forall ((X11 $$unsorted) (X12 $$unsorted) (X13 $$unsorted)) (=> (|tptp.'>='| X11 X12) (|tptp.'>='| (|tptp.'==>'| X12 X13) (|tptp.'==>'| X11 X13)))))) (let ((_let_7 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted)) (=> (|tptp.'>='| X8 X9) (|tptp.'>='| (|tptp.'+'| X8 X10) (|tptp.'+'| X9 X10)))))) (let ((_let_8 (forall ((A $$unsorted)) (|tptp.'>='| A |tptp.'0'|)))) (let ((_let_9 (forall ((X5 $$unsorted) (X6 $$unsorted) (X7 $$unsorted)) (= (|tptp.'>='| (|tptp.'+'| X5 X6) X7) (|tptp.'>='| X6 (|tptp.'==>'| X5 X7)))))) (let ((_let_10 (forall ((X3 $$unsorted) (X4 $$unsorted)) (=> (and (|tptp.'>='| X3 X4) (|tptp.'>='| X4 X3)) (= X3 X4))))) (let ((_let_11 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (=> (and (|tptp.'>='| X0 X1) (|tptp.'>='| X1 X2)) (|tptp.'>='| X0 X2))))) (let ((_let_12 (forall ((A $$unsorted)) (|tptp.'>='| A A)))) (let ((_let_13 (forall ((A $$unsorted)) (= (|tptp.'+'| A |tptp.'0'|) A)))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (= (|tptp.'+'| A B) (|tptp.'+'| B A))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (|tptp.'+'| (|tptp.'+'| A B) C) (|tptp.'+'| A (|tptp.'+'| B C)))))) (let ((_let_16 (|tptp.'==>'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 |tptp.'1'|))) (let ((_let_17 (|tptp.'==>'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_18 (= _let_16 _let_17))) (let ((_let_19 (|tptp.'==>'| |tptp.'1'| _let_16))) (let ((_let_20 (= |tptp.'0'| _let_19))) (let ((_let_21 (|tptp.'==>'| _let_16 _let_16))) (let ((_let_22 (|tptp.'>='| |tptp.'0'| _let_21))) (let ((_let_23 (|tptp.'>='| _let_19 _let_21))) (let ((_let_24 (|tptp.'>='| _let_16 _let_17))) (let ((_let_25 (not _let_24))) (let ((_let_26 (|tptp.'>='| _let_17 _let_16))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_25 _let_18))) (let ((_let_29 (forall ((X3 $$unsorted) (X4 $$unsorted)) (or (not (|tptp.'>='| X3 X4)) (not (|tptp.'>='| X4 X3)) (= X3 X4))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (_let_29))) (let ((_let_32 ((not (= (|tptp.'>='| X3 X4) false))))) (let ((_let_33 (|tptp.'>='| |tptp.'1'| _let_16))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_24))) (let ((_let_36 (forall ((X14 $$unsorted) (X15 $$unsorted) (X16 $$unsorted)) (or (not (|tptp.'>='| X14 X15)) (|tptp.'>='| (|tptp.'==>'| X16 X14) (|tptp.'==>'| X16 X15)))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (_let_36))) (let ((_let_39 ((|tptp.'==>'| X16 X15) (|tptp.'==>'| X16 X14)))) (let ((_let_40 (|tptp.'==>'| |tptp.'0'| |tptp.'1'|))) (let ((_let_41 (|tptp.'>='| _let_40 _let_16))) (let ((_let_42 (not _let_41))) (let ((_let_43 (|tptp.'>='| |tptp.'1'| _let_40))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_42 _let_33))) (let ((_let_46 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (|tptp.'>='| X0 X1)) (not (|tptp.'>='| X1 X2)) (|tptp.'>='| X0 X2))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (|tptp.'>='| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 |tptp.'0'|))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_41))) (let ((_let_51 (forall ((X11 $$unsorted) (X12 $$unsorted) (X13 $$unsorted)) (or (not (|tptp.'>='| X11 X12)) (|tptp.'>='| (|tptp.'==>'| X12 X13) (|tptp.'==>'| X11 X13)))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (_let_51))) (let ((_let_54 ((|tptp.'==>'| X12 X13) (|tptp.'==>'| X11 X13)))) (let ((_let_55 (_let_8))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 ((not (= (|tptp.'>='| A |tptp.'0'|) true))))) (let ((_let_58 (|tptp.'+'| |tptp.'0'| |tptp.'1'|))) (let ((_let_59 (|tptp.'>='| _let_58 |tptp.'1'|))) (let ((_let_60 (= _let_59 _let_43))) (let ((_let_61 (_let_9))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 (|tptp.'==>'| X5 X7))) (let ((_let_64 (|tptp.'+'| X5 X6))) (let ((_let_65 (_let_64 _let_63))) (let ((_let_66 (|tptp.'>='| _let_58 _let_58))) (let ((_let_67 (= |tptp.'1'| _let_58))) (let ((_let_68 (|tptp.'>='| |tptp.'0'| |tptp.'0'|))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_66))) (let ((_let_71 (forall ((X8 $$unsorted) (X9 $$unsorted) (X10 $$unsorted)) (or (not (|tptp.'>='| X8 X9)) (|tptp.'>='| (|tptp.'+'| X8 X10) (|tptp.'+'| X9 X10)))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (_let_12))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 (|tptp.'0'| QUANTIFIERS_INST_ENUM))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_69 _let_66 (not _let_70)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args _let_75) :args _let_73)) _let_74 :args (_let_68 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (|tptp.'0'| |tptp.'0'| |tptp.'1'| QUANTIFIERS_INST_E_MATCHING ((|tptp.'+'| X9 X10) (|tptp.'+'| X8 X10)))) :args (_let_71))) _let_72 :args (_let_70 false _let_71)) :args (_let_66 false _let_68 false _let_70)))) (let ((_let_77 (forall ((A $$unsorted)) (= |tptp.'1'| (|tptp.'+'| A |tptp.'1'|))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args _let_75) :args (_let_77))) _let_78 :args (_let_67 false _let_77)))) (let ((_let_80 (not _let_66))) (let ((_let_81 (not _let_67))) (let ((_let_82 (and _let_67 _let_66))) (let ((_let_83 (true _let_82))) (let ((_let_84 (_let_67 _let_66))) (let ((_let_85 (_let_66 _let_67))) (let ((_let_86 (ASSUME :args (_let_66)))) (let ((_let_87 (TRUE_INTRO _let_86))) (let ((_let_88 (APPLY_UF |tptp.'>='|))) (let ((_let_89 (ASSUME :args (_let_67)))) (let ((_let_90 (SYMM (SYMM _let_89)))) (let ((_let_91 (AND_INTRO _let_86 _let_89))) (let ((_let_92 (CNF_AND_NEG :args (_let_82)))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_33 _let_42 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_60)) :args ((or _let_43 (not _let_59) (not _let_60)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_92 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_91 (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_58)) _let_90 :args _let_88) _let_87)) :args _let_85)) :args _let_84)) :args _let_83) :args ((or _let_81 _let_59 _let_80))) _let_79 _let_76 :args (_let_59 false _let_67 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (|tptp.'0'| |tptp.'1'| |tptp.'1'| QUANTIFIERS_INST_E_MATCHING _let_65)) :args _let_61)) _let_62 :args (_let_60 false _let_9)) :args (_let_43 false _let_59 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_41 (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55)) _let_56 :args (_let_48 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 |tptp.'0'| |tptp.'1'| QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) _let_52 :args (_let_50 false _let_51)) :args (_let_41 false _let_48 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (|tptp.'1'| _let_40 _let_16 QUANTIFIERS_INST_E_MATCHING ((not (= (|tptp.'>='| X0 X1) false)) (not (= (|tptp.'>='| X1 X2) false))))) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_33 false _let_43 false _let_41 false _let_45)))) (let ((_let_94 (|tptp.'+'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17))) (let ((_let_95 (|tptp.'>='| _let_94 |tptp.'1'|))) (let ((_let_96 (= _let_26 _let_95))) (let ((_let_97 ((|tptp.'>='| X6 _let_63)))) (let ((_let_98 (|tptp.'+'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_99 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_98))) (let ((_let_100 (|tptp.'+'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_94))) (let ((_let_101 (= _let_100 (|tptp.'+'| _let_98 _let_17)))) (let ((_let_102 (|tptp.'>='| _let_100 |tptp.'1'|))) (let ((_let_103 (forall ((A $$unsorted)) (= A (|tptp.'+'| A A))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (_let_103))) (let ((_let_106 ((|tptp.'+'| A A)))) (let ((_let_107 (_let_15))) (let ((_let_108 (ASSUME :args _let_107))) (let ((_let_109 (|tptp.'>='| _let_94 _let_16))) (let ((_let_110 (= _let_109 _let_102))) (let ((_let_111 (|tptp.'>='| _let_17 _let_17))) (let ((_let_112 (= _let_111 _let_109))) (let ((_let_113 (|tptp.'>='| _let_16 _let_16))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_114 _let_111))) (let ((_let_116 (|tptp.'>='| |tptp.'1'| |tptp.'1'|))) (let ((_let_117 (not _let_116))) (let ((_let_118 (or _let_117 _let_113))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_117 _let_113 (not _let_118)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_92 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_91 (SCOPE (TRUE_ELIM (TRANS (CONG _let_90 _let_90 :args _let_88) _let_87)) :args _let_85)) :args _let_84)) :args _let_83) :args ((or _let_81 _let_116 _let_80))) _let_79 _let_76 :args (_let_116 false _let_67 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (|tptp.'1'| |tptp.'1'| SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_38)) _let_37 :args (_let_118 false _let_36)) :args (_let_113 false _let_116 false _let_118)))) (let ((_let_120 (and _let_102 _let_101 _let_99))) (let ((_let_121 (_let_102 _let_101 _let_99))) (let ((_let_122 (ASSUME :args (_let_102)))) (let ((_let_123 (ASSUME :args (_let_101)))) (let ((_let_124 (ASSUME :args (_let_99)))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_25 _let_18 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_96)) :args ((or _let_26 (not _let_95) (not _let_96)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_120)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_122 _let_123 _let_124) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (CONG (SYMM (SYMM _let_124)) (REFL :args (_let_17)) :args (APPLY_UF |tptp.'+'|)) (SYMM _let_123)) (REFL :args (|tptp.'1'|)) :args _let_88) (TRUE_INTRO _let_122))) :args _let_121)) :args _let_121)) :args (true _let_120)) :args ((or _let_95 (not _let_102) (not _let_101) (not _let_99)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_110)) :args ((or (not _let_109) _let_102 (not _let_110)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_112)) :args ((or (not _let_111) _let_109 (not _let_112)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_114 _let_111 (not _let_115)))) _let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_16 _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_38)) _let_37 :args (_let_115 false _let_36)) :args (_let_111 false _let_113 false _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17 _let_16 QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_61))) _let_62 :args (_let_112 false _let_9)) :args (_let_109 false _let_111 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_94 |tptp.'1'| QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_61))) _let_62 :args (_let_110 false _let_9)) :args (_let_102 false _let_109 false _let_110)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_108 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17 QUANTIFIERS_INST_E_MATCHING ((|tptp.'+'| A (|tptp.'+'| B C))))) :args _let_107))) _let_108 :args (_let_101 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_105)) _let_104 :args (_let_99 false _let_103)) :args (_let_95 false _let_102 false _let_101 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17 |tptp.'1'| QUANTIFIERS_INST_E_MATCHING _let_97)) :args _let_61))) _let_62 :args (_let_96 false _let_9)) :args (_let_26 false _let_95 false _let_96)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_24 (not _let_35)))) _let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (|tptp.'1'| _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_38)) _let_37 :args (_let_35 false _let_36)) :args (_let_24 false _let_33 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_17 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31))) _let_30 :args (_let_28 false _let_29)) :args (_let_18 false _let_26 false _let_24 false _let_28)))) (let ((_let_126 (|tptp.'>='| _let_19 |tptp.'0'|))) (let ((_let_127 (not _let_126))) (let ((_let_128 (|tptp.'>='| |tptp.'0'| _let_19))) (let ((_let_129 (not _let_128))) (let ((_let_130 (or _let_129 _let_127 _let_20))) (let ((_let_131 (|tptp.'+'| |tptp.'1'| |tptp.'0'|))) (let ((_let_132 (|tptp.'>='| _let_131 _let_16))) (let ((_let_133 (= _let_132 _let_128))) (let ((_let_134 (= _let_58 _let_131))) (let ((_let_135 (_let_14))) (let ((_let_136 (ASSUME :args _let_135))) (let ((_let_137 (and _let_134 _let_67 _let_33))) (let ((_let_138 (ASSUME :args (_let_33)))) (let ((_let_139 (REFL :args (_let_16)))) (let ((_let_140 (ASSUME :args (_let_134)))) (let ((_let_141 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_129 _let_127 _let_20 (not _let_130)))) 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false _let_133)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_55)) _let_56 :args (_let_126 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (|tptp.'0'| _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31)) _let_30 :args (_let_130 false _let_29)) :args (_let_20 false _let_128 false _let_126 false _let_130)))) (let ((_let_142 (|tptp.'+'| _let_16 |tptp.'0'|))) (let ((_let_143 (|tptp.'>='| _let_142 _let_16))) (let ((_let_144 (= _let_143 _let_22))) (let ((_let_145 (= _let_16 _let_142))) (let ((_let_146 (= _let_16 (|tptp.'+'| _let_16 _let_16)))) (let ((_let_147 (= (|tptp.'+'| |tptp.'0'| _let_16) _let_142))) (let ((_let_148 (forall ((A $$unsorted)) (= A (|tptp.'+'| A |tptp.'0'|))))) (let ((_let_149 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_150 (and _let_113 _let_147 _let_146 _let_145))) (let ((_let_151 (ASSUME :args (_let_113)))) (let ((_let_152 (ASSUME :args (_let_146)))) (let ((_let_153 (ASSUME :args (_let_145)))) (let ((_let_154 (ASSUME :args (_let_147)))) (let ((_let_155 (SYMM _let_154))) (let ((_let_156 (= _let_19 _let_21))) (let ((_let_157 (not _let_23))) (let ((_let_158 (|tptp.'>='| _let_21 _let_19))) (let ((_let_159 (not _let_158))) (let ((_let_160 (or _let_159 _let_157 _let_156))) (let ((_let_161 (|tptp.'==>'| (|tptp.'==>'| _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_162 (= _let_161 (|tptp.'==>'| _let_17 _let_16)))) (let ((_let_163 (= |tptp.'0'| _let_161))) (let ((_let_164 (not _let_156))) (let ((_let_165 (_let_3))) (let ((_let_166 (ASSUME :args _let_165))) (let ((_let_167 (forall ((X17 $$unsorted)) (= |tptp.'0'| (|tptp.'==>'| (|tptp.'==>'| (|tptp.'==>'| X17 |tptp.'1'|) X17) X17))))) (let ((_let_168 (not _let_163))) (let ((_let_169 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_170 (or))) (let ((_let_171 (_let_168))) (let ((_let_172 (not _let_167))) (let ((_let_173 (not _let_20))) (let ((_let_174 (not _let_18))) (let ((_let_175 (and _let_168 _let_162 _let_18 _let_20))) (let ((_let_176 (ASSUME :args _let_171))) (let ((_let_177 (ASSUME :args (_let_162)))) (let ((_let_178 (APPLY_UF |tptp.'==>'|))) (let ((_let_179 (ASSUME :args (_let_18)))) (let ((_let_180 (SYMM _let_179))) (let ((_let_181 (ASSUME :args (_let_20)))) (let ((_let_182 (SYMM _let_181))) (let ((_let_183 (or _let_34 _let_158))) (let ((_let_184 (and _let_18 _let_20 _let_22))) (let ((_let_185 (ASSUME :args (_let_22)))) (let ((_let_186 (CONG _let_180 _let_139 :args _let_178))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_184)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_185 _let_179 _let_181) (SCOPE (TRUE_ELIM (TRANS (CONG _let_182 (SYMM _let_186) :args _let_88) (CONG (REFL :args (|tptp.'0'|)) _let_186 :args _let_88) (TRUE_INTRO _let_185))) :args (_let_22 _let_18 _let_20))) :args (_let_18 _let_20 _let_22))) :args (true _let_184)) :args ((or _let_174 _let_173 _let_23 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_160)) :args ((or _let_159 _let_157 _let_156 (not _let_160)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_183)) :args ((or _let_34 _let_158 (not _let_183)))) _let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (|tptp.'1'| _let_16 _let_16 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) _let_52 :args (_let_183 false _let_51)) :args (_let_158 false _let_33 false _let_183)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_175)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_176 _let_181 _let_177 _let_179) (SCOPE (FALSE_ELIM (TRANS (CONG _let_182 (TRANS (CONG (SYMM _let_180) _let_139 :args _let_178) (SYMM _let_177)) :args (=)) (FALSE_INTRO _let_176))) :args (_let_168 _let_20 _let_162 _let_18))) :args (_let_168 _let_162 _let_18 _let_20))) :args (true _let_175)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_168) _let_163))) (REFL :args ((not _let_162))) (REFL :args (_let_174)) (REFL :args (_let_173)) (REFL :args (_let_164)) :args _let_170)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_169) :args (_let_172))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_172) _let_167))) (REFL :args _let_171) :args _let_170)) _let_169 :args (_let_168 true _let_167)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (_let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((|tptp.'==>'| (|tptp.'==>'| A B) B)))) :args _let_165)) _let_166 :args (_let_162 false _let_3)) _let_125 _let_141 :args (_let_164 true _let_163 false _let_162 false _let_18 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_21 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_32)) :args _let_31))) _let_30 :args (_let_160 false _let_29)) :args (_let_157 false _let_158 true _let_156 false _let_160)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_144)) :args ((or _let_22 (not _let_143) (not _let_144)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_150)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_151 _let_152 _let_153 _let_154) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_155 (TRANS (SYMM _let_155) (SYMM _let_153) _let_152)) _let_139 :args _let_88) (CONG (SYMM _let_152) _let_139 :args _let_88) (TRUE_INTRO _let_151))) :args (_let_113 _let_146 _let_145 _let_147))) :args (_let_113 _let_147 _let_146 _let_145))) :args (true _let_150)) _let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (|tptp.'0'| _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((|tptp.'+'| A B)))) :args _let_135)) _let_136 :args (_let_147 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_105)) _let_104 :args (_let_146 false _let_103)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((|tptp.'+'| A |tptp.'0'|)))) :args (_let_148))) _let_149 :args (_let_145 false _let_148)) :args (_let_143 false _let_113 false _let_147 false _let_146 false _let_145)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_16 |tptp.'0'| _let_16 QUANTIFIERS_INST_E_MATCHING _let_65)) :args _let_61)) _let_62 :args (_let_144 false _let_9)) :args (_let_22 false _let_143 false _let_144)) _let_141 _let_125 :args (false true _let_23 false _let_22 false _let_20 false _let_18)) :args (_let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.68/0.85 )
% 0.68/0.85 % SZS output end Proof for LCL901+1
% 0.68/0.86 % cvc5---1.0.5 exiting
% 0.68/0.86 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------