TSTP Solution File: SYO657-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYO657-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 : Fri Sep 1 04:16:52 EDT 2023
% Result : Unsatisfiable 0.21s 0.66s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO657-1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n021.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 07:48:41 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.PthEyWCdAt/cvc5---1.0.5_2684.p...
% 0.21/0.50 ------- get file name : TPTP file name is SYO657-1
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2684.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.66 % SZS status Unsatisfiable for SYO657-1
% 0.21/0.66 % SZS output start Proof for SYO657-1
% 0.21/0.66 (
% 0.21/0.66 (let ((_let_1 (forall ((A_1 $$unsorted) (B_3 $$unsorted)) (let ((_let_1 (tptp.suc A_1))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f A_1))) (let ((_let_4 (tptp.suc B_3))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f B_3))) (let ((_let_7 (tptp.s |tptp.'0'|))) (or (not (tptp.iLEQ _let_1 _let_4)) (not (|tptp.'E'| _let_7 (tptp.f (tptp.suc _let_1)))) (not (|tptp.'E'| _let_7 _let_3)) (not (|tptp.'E'| _let_7 (tptp.f (tptp.suc _let_4)))) (not (|tptp.'E'| _let_7 _let_2)) (not (|tptp.'E'| _let_7 _let_5)) (not (|tptp.'E'| _let_7 _let_6)) (not (|tptp.'E'| _let_6 _let_5)) (not (|tptp.'E'| _let_3 _let_2))))))))))))) (let ((_let_2 (forall ((A_1 $$unsorted)) (let ((_let_1 (tptp.suc A_1))) (let ((_let_2 (tptp.f A_1))) (let ((_let_3 (tptp.s |tptp.'0'|))) (let ((_let_4 (tptp.f _let_1))) (or (not (|tptp.'E'| _let_3 (tptp.f (tptp.suc _let_1)))) (not (|tptp.'E'| _let_3 _let_4)) (not (|tptp.'E'| _let_2 _let_4)) (not (|tptp.'E'| _let_3 _let_2)) (tptp.iLEQ _let_1 _let_1))))))))) (let ((_let_3 (forall ((A_1 $$unsorted) (B_3 $$unsorted)) (let ((_let_1 (tptp.suc B_3))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_3))) (let ((_let_4 (tptp.suc A_1))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f A_1))) (let ((_let_7 (tptp.s |tptp.'0'|))) (or (not (tptp.iLEQ _let_4 _let_1)) (not (|tptp.'E'| _let_7 _let_6)) (not (|tptp.'E'| _let_7 _let_5)) (not (|tptp.'E'| _let_7 _let_2)) (not (|tptp.'E'| _let_7 _let_3)) (|tptp.'E'| _let_6 _let_5) (|tptp.'E'| _let_3 _let_2)))))))))))) (let ((_let_4 (forall ((B_2 $$unsorted)) (let ((_let_1 (tptp.s |tptp.'0'|))) (let ((_let_2 (tptp.f (tptp.suc B_2)))) (or (not (|tptp.'LE'| _let_2 (tptp.s _let_1))) (|tptp.'E'| _let_1 _let_2) (|tptp.'LE'| (tptp.f B_2) _let_1))))))) (let ((_let_5 (tptp.f tptp.z))) (let ((_let_6 (|tptp.'LE'| _let_5 |tptp.'0'|))) (let ((_let_7 (not _let_6))) (let ((_let_8 (forall ((B_5 $$unsorted)) (let ((_let_1 (tptp.f (tptp.suc (tptp.suc B_5))))) (or (not (|tptp.'LE'| _let_1 (tptp.s |tptp.'0'|))) (|tptp.'E'| |tptp.'0'| _let_1) (|tptp.'LE'| (tptp.f B_5) |tptp.'0'|)))))) (let ((_let_9 (forall ((B_5 $$unsorted)) (let ((_let_1 (tptp.f (tptp.suc B_5)))) (or (not (|tptp.'LE'| _let_1 (tptp.s |tptp.'0'|))) (|tptp.'E'| |tptp.'0'| _let_1) (|tptp.'LE'| (tptp.f B_5) |tptp.'0'|)))))) (let ((_let_10 (forall ((A_2 $$unsorted) (B_6 $$unsorted)) (let ((_let_1 (tptp.suc B_6))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_6))) (let ((_let_4 (tptp.suc A_2))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f A_2))) (or (not (|tptp.'E'| |tptp.'0'| _let_5)) (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc _let_1)))) (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc _let_4)))) (not (|tptp.'E'| |tptp.'0'| _let_6)) (not (tptp.iLEQ _let_4 _let_1)) (not (|tptp.'E'| |tptp.'0'| _let_3)) (not (|tptp.'E'| _let_6 _let_5)) (not (|tptp.'E'| _let_3 _let_2)) (not (|tptp.'E'| |tptp.'0'| _let_2)))))))))))) (let ((_let_11 (forall ((A_2 $$unsorted)) (let ((_let_1 (tptp.suc A_2))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f A_2))) (or (not (|tptp.'E'| |tptp.'0'| _let_3)) (not (|tptp.'E'| |tptp.'0'| _let_2)) (|tptp.'E'| _let_3 _let_2) (tptp.iLEQ _let_1 _let_1)))))))) (let ((_let_12 (forall ((A_2 $$unsorted)) (let ((_let_1 (tptp.suc A_2))) (let ((_let_2 (tptp.f A_2))) (let ((_let_3 (tptp.f _let_1))) (or (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc _let_1)))) (not (|tptp.'E'| |tptp.'0'| _let_3)) (not (|tptp.'E'| _let_2 _let_3)) (not (|tptp.'E'| |tptp.'0'| _let_2)) (tptp.iLEQ _let_1 _let_1)))))))) (let ((_let_13 (forall ((B_5 $$unsorted)) (let ((_let_1 (tptp.f B_5))) (or (not (|tptp.'LE'| _let_1 (tptp.s |tptp.'0'|))) (|tptp.'E'| |tptp.'0'| _let_1) (|tptp.'LE'| _let_1 |tptp.'0'|)))))) (let ((_let_14 (forall ((B_2 $$unsorted)) (let ((_let_1 (tptp.s |tptp.'0'|))) (let ((_let_2 (tptp.f B_2))) (or (not (|tptp.'LE'| _let_2 (tptp.s _let_1))) (|tptp.'E'| _let_1 _let_2) (|tptp.'LE'| _let_2 _let_1))))))) (let ((_let_15 (forall ((A_1 $$unsorted)) (let ((_let_1 (tptp.suc A_1))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f A_1))) (let ((_let_4 (tptp.s |tptp.'0'|))) (or (not (|tptp.'E'| _let_4 _let_3)) (not (|tptp.'E'| _let_4 _let_2)) (|tptp.'E'| _let_3 _let_2) (tptp.iLEQ _let_1 _let_1))))))))) (let ((_let_16 (forall ((A $$unsorted)) (|tptp.'LE'| (tptp.f A) (tptp.s (tptp.s |tptp.'0'|)))))) (let ((_let_17 (forall ((B_2 $$unsorted)) (let ((_let_1 (tptp.s |tptp.'0'|))) (let ((_let_2 (tptp.f (tptp.suc (tptp.suc B_2))))) (or (not (|tptp.'LE'| _let_2 (tptp.s _let_1))) (|tptp.'E'| _let_1 _let_2) (|tptp.'LE'| (tptp.f B_2) _let_1))))))) (let ((_let_18 (forall ((A_2 $$unsorted) (B_6 $$unsorted)) (let ((_let_1 (tptp.suc B_6))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_6))) (let ((_let_4 (tptp.suc A_2))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f A_2))) (or (not (|tptp.'E'| |tptp.'0'| _let_5)) (not (|tptp.'E'| |tptp.'0'| _let_6)) (not (tptp.iLEQ _let_4 _let_1)) (not (|tptp.'E'| |tptp.'0'| _let_3)) (not (|tptp.'E'| |tptp.'0'| _let_2)) (|tptp.'E'| _let_6 _let_5) (|tptp.'E'| _let_3 _let_2))))))))))) (let ((_let_19 (tptp.suc tptp.z))) (let ((_let_20 (tptp.f _let_19))) (let ((_let_21 (|tptp.'E'| |tptp.'0'| _let_20))) (let ((_let_22 (|tptp.'E'| |tptp.'0'| _let_5))) (let ((_let_23 (tptp.iLEQ _let_19 _let_19))) (let ((_let_24 (|tptp.'E'| _let_5 _let_20))) (let ((_let_25 (not _let_21))) (let ((_let_26 (not _let_22))) (let ((_let_27 (or _let_26 _let_25 _let_24 _let_23))) (let ((_let_28 (tptp.s |tptp.'0'|))) (let ((_let_29 (|tptp.'LE'| _let_20 _let_28))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_21 _let_6))) (let ((_let_32 (_let_9))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.z QUANTIFIERS_INST_E_MATCHING ((not (= (|tptp.'LE'| (tptp.f B_5) |tptp.'0'|) true))))) :args _let_32)))) (let ((_let_35 (MACRO_RESOLUTION_TRUST _let_34 _let_33 :args (_let_31 false _let_9)))) (let ((_let_36 (|tptp.'E'| _let_28 _let_20))) (let ((_let_37 (tptp.s _let_28))) (let ((_let_38 (|tptp.'LE'| _let_20 _let_37))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_36 _let_29))) (let ((_let_41 (_let_14))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 ((tptp.f B_2)))) (let ((_let_44 (_let_16))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 ((tptp.f A)))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_44)) _let_45 :args (_let_38 false _let_16)))) (let ((_let_48 (tptp.suc _let_19))) (let ((_let_49 (tptp.f _let_48))) (let ((_let_50 (|tptp.'E'| _let_28 _let_49))) (let ((_let_51 (not _let_36))) (let ((_let_52 (|tptp.'LE'| _let_49 _let_37))) (let ((_let_53 (|tptp.'LE'| _let_49 _let_28))) (let ((_let_54 (not _let_52))) (let ((_let_55 (or _let_54 _let_50 _let_53))) (let ((_let_56 (or _let_54 _let_50 _let_29))) (let ((_let_57 (|tptp.'E'| |tptp.'0'| _let_49))) (let ((_let_58 (not _let_53))) (let ((_let_59 (or _let_58 _let_57 _let_6))) (let ((_let_60 (not _let_23))) (let ((_let_61 (or _let_25 _let_26 _let_60 _let_26 _let_25 _let_24 _let_24))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_48 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_44)) _let_45 :args (_let_52 false _let_16)))) (let ((_let_63 (_let_4))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 ((tptp.suc B_2)))) (let ((_let_66 (ASSUME :args (_let_7)))) (let ((_let_67 (_let_8))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.z QUANTIFIERS_INST_E_MATCHING ((not (= (|tptp.'LE'| (tptp.f B_5) |tptp.'0'|) true))))) :args _let_67)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST _let_69 _let_68 :args (_let_59 false _let_8)))) (let ((_let_71 (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_6 _let_58 _let_57 (not _let_59)))))) (let ((_let_72 (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_6 _let_30 _let_21 (not _let_31)))))) (let ((_let_73 (|tptp.'LE'| _let_5 _let_28))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_22 _let_6))) (let ((_let_76 (_let_13))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.z QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.f B_5)))) :args _let_76)) _let_77 :args (_let_75 false _let_13)))) (let ((_let_79 (or _let_54 _let_50 _let_73))) (let ((_let_80 (or _let_39 _let_36 _let_73))) (let ((_let_81 (tptp.suc _let_48))) (let ((_let_82 (tptp.f _let_81))) (let ((_let_83 (|tptp.'E'| _let_28 _let_82))) (let ((_let_84 (tptp.iLEQ _let_48 _let_48))) (let ((_let_85 (|tptp.'E'| _let_20 _let_49))) (let ((_let_86 (not _let_50))) (let ((_let_87 (not _let_84))) (let ((_let_88 (or _let_87 _let_51 _let_86 _let_86 _let_51 _let_85 _let_85))) (let ((_let_89 (not _let_85))) (let ((_let_90 (not _let_83))) (let ((_let_91 (or _let_87 _let_90 _let_51 _let_90 _let_86 _let_86 _let_51 _let_89 _let_89))) (let ((_let_92 (_let_17))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.z QUANTIFIERS_INST_E_MATCHING ((tptp.suc (tptp.suc B_2))))) :args _let_92)) _let_93 :args (_let_79 false _let_17)))) (let ((_let_95 (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_73 _let_50 _let_54 (not _let_79)))))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.z QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_80 false _let_4)))) (let ((_let_97 (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_73 _let_36 _let_39 (not _let_80)))))) (let ((_let_98 (|tptp.'LE'| _let_82 _let_37))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_83 _let_29))) (let ((_let_101 (or _let_99 _let_83 _let_53))) (let ((_let_102 (not _let_24))) (let ((_let_103 (not _let_57))) (let ((_let_104 (or _let_25 _let_103 _let_103 _let_26 _let_60 _let_26 _let_102 _let_102 _let_25))) (let ((_let_105 ((not (= (|tptp.'LE'| (tptp.f B_2) _let_28) true))))) (let ((_let_106 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_19 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_92)))) (let ((_let_107 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_81 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_44)))) (let ((_let_108 (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_29 _let_99 _let_83 (not _let_100)))))) (let ((_let_109 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_48 QUANTIFIERS_INST_E_MATCHING ((not (= (|tptp.'LE'| (tptp.f B_2) _let_28) true))))) :args _let_63)))) (let ((_let_110 (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_53 _let_99 _let_83 (not _let_101)))))) (let ((_let_111 (or _let_103 _let_25 _let_102 _let_26 _let_23))) (let ((_let_112 (MACRO_RESOLUTION_TRUST _let_107 _let_45 :args (_let_98 false _let_16)))) (let ((_let_113 (_let_11))) (let ((_let_114 (ASSUME :args _let_113))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.z QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.suc A_2)))) :args _let_113)) _let_114 :args (_let_27 false _let_11)))) (let ((_let_116 (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_25 _let_23 _let_24 (not _let_27)))))) (let ((_let_117 (_let_12))) (let ((_let_118 (ASSUME :args _let_117))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.z QUANTIFIERS_INST_E_MATCHING ((tptp.suc (tptp.suc A_2))))) :args _let_117)) _let_118 :args (_let_111 false _let_12)))) (let ((_let_120 (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_26 _let_25 _let_103 _let_23 _let_102 (not _let_111)))))) (let ((_let_121 (MACRO_RESOLUTION_TRUST _let_120 _let_119 _let_116 _let_115 _let_71 _let_70 _let_66 _let_72 _let_35 _let_66 _let_110 (MACRO_RESOLUTION_TRUST _let_109 _let_64 :args (_let_101 false _let_4)) _let_112 _let_108 (MACRO_RESOLUTION_TRUST _let_106 _let_93 :args (_let_100 false _let_17)) _let_112 :args ((or _let_26 _let_83 _let_23) false _let_111 false _let_24 false _let_27 false _let_57 false _let_59 true _let_6 false _let_21 false _let_31 true _let_6 false _let_53 false _let_101 false _let_98 false _let_29 false _let_100 false _let_98)))) (let ((_let_122 (_let_10))) (let ((_let_123 (ASSUME :args _let_122))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (tptp.z tptp.z QUANTIFIERS_INST_E_MATCHING ((tptp.suc (tptp.suc A_2)) (tptp.suc (tptp.suc B_6))))) :args _let_122)) _let_123 :args (_let_104 false _let_10)))) (let ((_let_125 (REORDERING (FACTORING (CNF_OR_POS :args (_let_104))) :args ((or _let_26 _let_25 _let_103 _let_60 _let_102 (not _let_104)))))) (let ((_let_126 (_let_18))) (let ((_let_127 (ASSUME :args _let_126))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (tptp.z tptp.z QUANTIFIERS_INST_E_MATCHING ((tptp.suc A_2) (tptp.suc B_6)))) :args _let_126)) _let_127 :args (_let_61 false _let_18)))) (let ((_let_129 (REORDERING (FACTORING (CNF_OR_POS :args (_let_61))) :args ((or _let_26 _let_25 _let_60 _let_24 (not _let_61)))))) (let ((_let_130 (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_6 _let_74 _let_22 (not _let_75)))))) (let ((_let_131 (|tptp.'E'| _let_28 _let_5))) (let ((_let_132 (not _let_131))) (let ((_let_133 (or _let_60 _let_86 _let_132 _let_86 _let_51 _let_51 _let_132 _let_102 _let_102))) (let ((_let_134 (|tptp.'LE'| _let_5 _let_37))) (let ((_let_135 (not _let_134))) (let ((_let_136 (or _let_135 _let_131 _let_73))) (let ((_let_137 (or _let_132 _let_51 _let_24 _let_23))) (let ((_let_138 (or _let_86 _let_51 _let_102 _let_132 _let_23))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.z QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41)) _let_42 :args (_let_136 false _let_14)))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.z QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_44)) _let_45 :args (_let_134 false _let_16)))) (let ((_let_141 (REORDERING (CNF_OR_POS :args (_let_136)) :args ((or _let_135 _let_131 _let_73 (not _let_136)))))) (let ((_let_142 (_let_15))) (let ((_let_143 (ASSUME :args _let_142))) (let ((_let_144 ((tptp.suc A_1)))) (let ((_let_145 (_let_2))) (let ((_let_146 (ASSUME :args _let_145))) (let ((_let_147 ((tptp.suc (tptp.suc A_1))))) (let ((_let_148 (or _let_60 _let_132 _let_51 _let_51 _let_132 _let_24 _let_24))) (let ((_let_149 (_let_3))) (let ((_let_150 (ASSUME :args _let_149))) (let ((_let_151 (tptp.suc B_3))) (let ((_let_152 (tptp.suc A_1))) (let ((_let_153 ((not (= (tptp.iLEQ _let_152 _let_151) false))))) (let ((_let_154 (MACRO_RESOLUTION_TRUST _let_120 _let_119 _let_125 _let_124 :args ((or _let_26 _let_25 _let_103 _let_102) false _let_111 true _let_23 false _let_104)))) (let ((_let_155 (_let_1))) (let ((_let_156 (ASSUME :args _let_155))) (let ((_let_157 ((not (= (tptp.iLEQ (tptp.suc A_1) (tptp.suc B_3)) false))))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_141 _let_140 _let_139 _let_130 _let_78 _let_66 (REORDERING (FACTORING (CNF_OR_POS :args (_let_133))) :args ((or _let_132 _let_51 _let_86 _let_60 _let_102 (not _let_133)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args (tptp.z tptp.z QUANTIFIERS_INST_E_MATCHING _let_157)) :args _let_155)) _let_156 :args (_let_133 false _let_1)) _let_154 (MACRO_RESOLUTION_TRUST _let_141 _let_140 _let_139 _let_130 _let_78 _let_66 (REORDERING (FACTORING (CNF_OR_POS :args (_let_148))) :args ((or _let_132 _let_51 _let_60 _let_24 (not _let_148)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 :args (tptp.z tptp.z QUANTIFIERS_INST_E_MATCHING _let_153)) :args _let_149)) _let_150 :args (_let_148 false _let_3)) _let_129 _let_128 :args ((or _let_25 _let_51 _let_60 _let_24) false _let_134 false _let_136 true _let_73 false _let_75 true _let_6 true _let_131 false _let_148 true _let_22 false _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_132 _let_51 _let_86 _let_23 _let_102 (not _let_138)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (tptp.z QUANTIFIERS_INST_E_MATCHING _let_147)) :args _let_145)) _let_146 :args (_let_138 false _let_2)) (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_132 _let_51 _let_23 _let_24 (not _let_137)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (tptp.z QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_142)) _let_143 :args (_let_137 false _let_15)) _let_141 _let_140 _let_139 _let_130 _let_78 _let_66 _let_121 :args ((or _let_83 _let_51 _let_86 _let_23) false _let_138 false _let_24 false _let_137 false _let_131 false _let_134 false _let_136 true _let_73 false _let_75 true _let_6 true _let_22)) _let_71 _let_69 _let_68 _let_110 _let_109 _let_64 _let_72 _let_66 _let_34 _let_33 _let_108 _let_107 _let_45 _let_106 _let_93 :args ((or _let_83 _let_51 _let_86) false _let_134 false _let_136 true _let_73 false _let_75 true _let_6 true _let_131 false _let_133 true _let_22 false _let_24 false _let_23 false _let_57 false _let_59 false _let_8 false _let_53 false _let_101 false _let_4 false _let_21 true _let_6 false _let_31 false _let_9 false _let_29 false _let_98 false _let_16 false _let_100 false _let_17)) _let_97 _let_96 _let_47 _let_95 _let_94 _let_62 _let_130 _let_78 _let_66 (MACRO_RESOLUTION_TRUST _let_129 _let_128 _let_125 _let_124 _let_121 _let_71 _let_69 _let_68 _let_110 _let_109 _let_64 _let_72 _let_66 _let_34 _let_33 _let_108 _let_107 _let_45 _let_106 _let_93 :args ((or _let_26 _let_83) false _let_61 true _let_24 false _let_104 false _let_23 false _let_57 false _let_59 false _let_8 false _let_53 false _let_101 false _let_4 false _let_21 true _let_6 false _let_31 false _let_9 false _let_29 false _let_98 false _let_16 false _let_100 false _let_17)) :args (_let_83 false _let_36 false _let_80 false _let_38 false _let_50 false _let_79 false _let_52 true _let_73 false _let_75 true _let_6 true _let_22)))) (let ((_let_159 (or _let_90 _let_86 _let_89 _let_51 _let_84))) (let ((_let_160 (or _let_51 _let_86 _let_85 _let_84))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_160)) :args ((or _let_51 _let_86 _let_85 _let_84 (not _let_160)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_142)) _let_143 :args (_let_160 false _let_15)) (REORDERING (CNF_OR_POS :args (_let_159)) :args ((or _let_51 _let_86 _let_84 _let_90 _let_89 (not _let_159)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (_let_19 QUANTIFIERS_INST_E_MATCHING _let_147)) :args _let_145)) _let_146 :args (_let_159 false _let_2)) :args ((or _let_51 _let_86 _let_84 _let_90) false _let_160 true _let_85 false _let_159)))) (let ((_let_162 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 :args (_let_19 _let_19 QUANTIFIERS_INST_E_MATCHING _let_153)) :args _let_149)) _let_150 :args (_let_88 false _let_3)))) (let ((_let_163 (REORDERING (FACTORING (CNF_OR_POS :args (_let_88))) :args ((or _let_51 _let_86 _let_85 _let_87 (not _let_88)))))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args (_let_19 _let_19 QUANTIFIERS_INST_E_MATCHING _let_157)) :args _let_155)) _let_156 :args (_let_91 false _let_1)))) (let ((_let_165 (REORDERING (FACTORING (CNF_OR_POS :args (_let_91))) :args ((or _let_51 _let_86 _let_90 _let_89 _let_87 (not _let_91)))))) (let ((_let_166 (MACRO_RESOLUTION_TRUST _let_130 _let_66 (MACRO_RESOLUTION_TRUST _let_165 _let_164 _let_158 _let_163 _let_162 _let_161 _let_158 _let_97 _let_96 _let_47 _let_95 _let_94 _let_62 :args (_let_73 false _let_91 false _let_83 false _let_85 false _let_88 false _let_84 false _let_83 false _let_36 false _let_80 false _let_38 false _let_50 false _let_79 false _let_52)) _let_78 :args (_let_22 true _let_6 false _let_73 false _let_75)))) (let ((_let_167 (MACRO_RESOLUTION_TRUST _let_116 _let_115 _let_166 _let_129 _let_128 _let_166 _let_154 _let_166 _let_72 _let_35 _let_66 _let_71 _let_70 _let_66 (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_29 _let_50 _let_54 (not _let_56)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_56 false _let_4)) _let_62 (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_53 _let_50 _let_54 (not _let_55)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_48 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41)) _let_42 :args (_let_55 false _let_14)) _let_62 :args (_let_50 false _let_27 false _let_22 true _let_23 false _let_61 false _let_22 true _let_24 false _let_22 false _let_21 false _let_31 true _let_6 false _let_57 false _let_59 true _let_6 false _let_29 false _let_56 false _let_52 false _let_53 false _let_55 false _let_52)))) (let ((_let_168 (MACRO_RESOLUTION_TRUST _let_72 _let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_29 _let_36 _let_39 (not _let_40)))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_165 _let_164 _let_158 _let_163 _let_162 _let_161 _let_158 :args ((or _let_51 _let_86) false _let_91 false _let_83 false _let_85 false _let_88 false _let_84 false _let_83)) _let_167 :args (_let_51 false _let_50)) _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41)) _let_42 :args (_let_40 false _let_14)) :args (_let_29 true _let_36 false _let_38 false _let_40)) _let_35 :args (_let_21 true _let_6 false _let_29 false _let_31)))) (let ((_let_169 (tptp.suc _let_81))) (let ((_let_170 (tptp.f _let_169))) (let ((_let_171 (|tptp.'E'| _let_28 _let_170))) (let ((_let_172 (|tptp.'LE'| _let_170 _let_37))) (let ((_let_173 (not _let_172))) (let ((_let_174 (or _let_173 _let_171 _let_53))) (let ((_let_175 (tptp.iLEQ _let_81 _let_81))) (let ((_let_176 (|tptp.'E'| _let_49 _let_82))) (let ((_let_177 (not _let_175))) (let ((_let_178 (or _let_177 _let_86 _let_90 _let_90 _let_86 _let_176 _let_176))) (let ((_let_179 (not _let_176))) (let ((_let_180 (not _let_171))) (let ((_let_181 (or _let_177 _let_180 _let_86 _let_180 _let_90 _let_90 _let_86 _let_179 _let_179))) (let ((_let_182 (or _let_86 _let_90 _let_176 _let_175))) (let ((_let_183 (or _let_180 _let_90 _let_179 _let_86 _let_175))) (let ((_let_184 (MACRO_RESOLUTION_TRUST _let_154 _let_166 _let_168 (MACRO_RESOLUTION_TRUST _let_71 _let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_174)) :args ((or _let_53 _let_173 _let_171 (not _let_174)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_169 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_44)) _let_45 :args (_let_172 false _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_181))) :args ((or _let_86 _let_90 _let_180 _let_177 _let_179 (not _let_181)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_156 :args (_let_48 _let_48 QUANTIFIERS_INST_E_MATCHING _let_157)) :args _let_155)) _let_156 :args (_let_181 false _let_1)) _let_167 _let_158 (REORDERING (FACTORING (CNF_OR_POS :args (_let_178))) :args ((or _let_86 _let_90 _let_176 _let_177 (not _let_178)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 :args (_let_48 _let_48 QUANTIFIERS_INST_E_MATCHING (_let_152 _let_151))) :args _let_149)) _let_150 :args (_let_178 false _let_3)) _let_158 _let_167 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_183)) :args ((or _let_86 _let_90 _let_180 _let_175 _let_179 (not _let_183)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (_let_48 QUANTIFIERS_INST_E_MATCHING _let_147)) :args _let_145)) _let_146 :args (_let_183 false _let_2)) _let_158 _let_167 (REORDERING (CNF_OR_POS :args (_let_182)) :args ((or _let_86 _let_90 _let_176 _let_175 (not _let_182)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_48 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_142)) _let_143 :args (_let_182 false _let_15)) _let_158 _let_167 :args ((or _let_180 _let_175) false _let_183 false _let_83 false _let_50 false _let_176 false _let_182 false _let_83 false _let_50)) :args (_let_180 false _let_181 false _let_50 false _let_83 false _let_176 false _let_178 false _let_83 false _let_50 false _let_175)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_48 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_92)) _let_93 :args (_let_174 false _let_17)) :args (_let_53 false _let_172 true _let_171 false _let_174)) _let_70 :args (_let_57 true _let_6 false _let_53 false _let_59)) :args (_let_102 false _let_22 false _let_21 false _let_57)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_116 (MACRO_RESOLUTION_TRUST _let_129 _let_166 _let_168 _let_184 _let_128 :args (_let_60 false _let_22 false _let_21 true _let_24 false _let_61)) _let_184 _let_115 _let_166 _let_168 :args (false true _let_23 true _let_24 false _let_27 false _let_22 false _let_21)) :args (_let_18 _let_17 _let_16 _let_15 (forall ((A_1 $$unsorted) (B_3 $$unsorted)) (let ((_let_1 (tptp.suc B_3))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_3))) (let ((_let_4 (tptp.suc A_1))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f A_1))) (let ((_let_7 (tptp.s |tptp.'0'|))) (or (not (tptp.iLEQ _let_4 _let_1)) (not (|tptp.'E'| _let_7 (tptp.f (tptp.suc _let_4)))) (not (|tptp.'E'| _let_7 _let_6)) (not (|tptp.'E'| _let_7 _let_5)) (not (|tptp.'E'| _let_7 _let_2)) (not (|tptp.'E'| _let_7 _let_3)) (not (|tptp.'E'| _let_6 _let_5)) (|tptp.'E'| _let_3 _let_2)))))))))) (forall ((A_2 $$unsorted) (B_6 $$unsorted)) (let ((_let_1 (tptp.suc A_2))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f A_2))) (let ((_let_4 (tptp.suc B_6))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f B_6))) (or (not (|tptp.'E'| |tptp.'0'| _let_2)) (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc _let_4)))) (not (|tptp.'E'| |tptp.'0'| _let_3)) (not (tptp.iLEQ _let_1 _let_4)) (not (|tptp.'E'| |tptp.'0'| _let_6)) (not (|tptp.'E'| _let_6 _let_5)) (not (|tptp.'E'| |tptp.'0'| _let_5)) (|tptp.'E'| _let_3 _let_2))))))))) _let_14 _let_13 _let_12 (forall ((A_2 $$unsorted) (B_6 $$unsorted)) (let ((_let_1 (tptp.suc B_6))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f B_6))) (let ((_let_4 (tptp.suc A_2))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f A_2))) (or (not (|tptp.'E'| |tptp.'0'| _let_5)) (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc _let_4)))) (not (|tptp.'E'| |tptp.'0'| _let_6)) (not (tptp.iLEQ _let_4 _let_1)) (not (|tptp.'E'| |tptp.'0'| _let_3)) (not (|tptp.'E'| _let_6 _let_5)) (not (|tptp.'E'| |tptp.'0'| _let_2)) (|tptp.'E'| _let_3 _let_2))))))))) _let_11 _let_10 _let_9 _let_8 _let_7 _let_4 _let_3 _let_2 (forall ((A_1 $$unsorted) (B_3 $$unsorted)) (let ((_let_1 (tptp.suc A_1))) (let ((_let_2 (tptp.f _let_1))) (let ((_let_3 (tptp.f A_1))) (let ((_let_4 (tptp.suc B_3))) (let ((_let_5 (tptp.f _let_4))) (let ((_let_6 (tptp.f B_3))) (let ((_let_7 (tptp.s |tptp.'0'|))) (or (not (tptp.iLEQ _let_1 _let_4)) (not (|tptp.'E'| _let_7 _let_3)) (not (|tptp.'E'| _let_7 (tptp.f (tptp.suc _let_4)))) (not (|tptp.'E'| _let_7 _let_2)) (not (|tptp.'E'| _let_7 _let_5)) (not (|tptp.'E'| _let_7 _let_6)) (not (|tptp.'E'| _let_6 _let_5)) (|tptp.'E'| _let_3 _let_2)))))))))) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.66 )
% 0.21/0.67 % SZS output end Proof for SYO657-1
% 0.21/0.67 % cvc5---1.0.5 exiting
% 0.21/0.67 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------