TSTP Solution File: SYN986+1.003 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN986+1.003 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 02:05:46 EDT 2023
% Result : Theorem 0.24s 0.77s
% Output : Proof 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : SYN986+1.003 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.16 % Command : do_cvc5 %s %d
% 0.16/0.38 % Computer : n013.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sat Aug 26 17:43:32 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.24/0.54 %----Proving TF0_NAR, FOF, or CNF
% 0.24/0.77 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.OI2hO4ftlb/cvc5---1.0.5_27365.p...
% 0.24/0.77 ------- get file name : TPTP file name is SYN986+1.003
% 0.24/0.77 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27365.smt2...
% 0.24/0.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.24/0.77 % SZS status Theorem for SYN986+1.003
% 0.24/0.77 % SZS output start Proof for SYN986+1.003
% 0.24/0.77 (
% 0.24/0.77 (let ((_let_1 (not (exists ((Z3 $$unsorted) (Z2 $$unsorted) (Z1 $$unsorted) (Z0 $$unsorted)) (and (tptp.r tptp.zero tptp.zero Z3) (tptp.r tptp.zero Z3 Z2) (tptp.r tptp.zero Z2 Z1) (tptp.r tptp.zero Z1 Z0)))))) (let ((_let_2 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted) (Z1 $$unsorted)) (=> (tptp.r Y X Z) (=> (tptp.r Z X Z1) (tptp.r Y (tptp.succ X) Z1)))))) (let ((_let_3 (forall ((Y $$unsorted)) (tptp.r Y tptp.zero (tptp.succ Y))))) (let ((_let_4 (forall ((Z3 $$unsorted) (Z2 $$unsorted) (Z1 $$unsorted) (Z0 $$unsorted)) (or (not (tptp.r tptp.zero tptp.zero Z3)) (not (tptp.r tptp.zero Z3 Z2)) (not (tptp.r tptp.zero Z2 Z1)) (not (tptp.r tptp.zero Z1 Z0)))))) (let ((_let_5 (tptp.succ tptp.zero))) (let ((_let_6 (tptp.succ _let_5))) (let ((_let_7 (tptp.succ _let_6))) (let ((_let_8 (tptp.succ _let_7))) (let ((_let_9 (tptp.succ _let_8))) (let ((_let_10 (tptp.succ _let_9))) (let ((_let_11 (tptp.succ _let_10))) (let ((_let_12 (tptp.succ _let_11))) (let ((_let_13 (tptp.succ _let_12))) (let ((_let_14 (tptp.succ _let_13))) (let ((_let_15 (tptp.succ _let_14))) (let ((_let_16 (tptp.succ _let_15))) (let ((_let_17 (tptp.succ _let_16))) (let ((_let_18 (tptp.succ _let_17))) (let ((_let_19 (tptp.succ _let_18))) (let ((_let_20 (tptp.succ _let_19))) (let ((_let_21 (tptp.r tptp.zero _let_8 _let_20))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.r tptp.zero _let_6 _let_8))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.r tptp.zero _let_5 _let_6))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.r tptp.zero tptp.zero _let_5))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26 _let_24 _let_22))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (tptp.r _let_12 _let_7 _let_20))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.r tptp.zero _let_7 _let_12))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_21))) (let ((_let_37 (forall ((Y $$unsorted) (X $$unsorted) (Z $$unsorted) (Z1 $$unsorted)) (or (not (tptp.r Y X Z)) (not (tptp.r Z X Z1)) (tptp.r Y (tptp.succ X) Z1))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_37))) (let ((_let_40 ((not (= (tptp.r Y X Z) false)) (not (= (tptp.r Z X Z1) false))))) (let ((_let_41 (tptp.r _let_8 _let_6 _let_12))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_24 _let_42 _let_34))) (let ((_let_44 (tptp.r _let_10 _let_5 _let_12))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.r _let_8 _let_5 _let_10))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45 _let_41))) (let ((_let_49 (tptp.r _let_11 tptp.zero _let_12))) (let ((_let_50 (not _let_49))) (let ((_let_51 (tptp.r _let_10 tptp.zero _let_11))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_50 _let_44))) (let ((_let_54 (_let_3))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (tptp.r _let_9 tptp.zero _let_10))) (let ((_let_57 (not _let_56))) (let ((_let_58 (tptp.r _let_8 tptp.zero _let_9))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_57 _let_46))) (let ((_let_61 (tptp.r _let_6 _let_5 _let_8))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_26 _let_62 _let_23))) (let ((_let_64 (tptp.r _let_7 tptp.zero _let_8))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.r _let_6 tptp.zero _let_7))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_65 _let_61))) (let ((_let_69 (tptp.r _let_5 tptp.zero _let_6))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_28 _let_70 _let_25))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.zero QUANTIFIERS_INST_ENUM)) :args _let_54)) _let_55 :args (_let_27 false _let_3)))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_28 _let_70 _let_25 (not _let_71)))) _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_5 QUANTIFIERS_INST_ENUM)) :args _let_54)) _let_55 :args (_let_69 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.zero tptp.zero _let_5 _let_6 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_71 false _let_37)) :args (_let_25 false _let_27 false _let_69 false _let_71)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_26 _let_62 _let_23 (not _let_63)))) _let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_67 _let_65 _let_61 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_6 QUANTIFIERS_INST_ENUM)) :args _let_54)) _let_55 :args (_let_66 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_7 QUANTIFIERS_INST_ENUM)) :args _let_54)) _let_55 :args (_let_64 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_6 tptp.zero _let_7 _let_8 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_68 false _let_37)) :args (_let_61 false _let_66 false _let_64 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.zero _let_5 _let_6 _let_8 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_63 false _let_37)) :args (_let_23 false _let_25 false _let_61 false _let_63)))) (let ((_let_75 (tptp.r _let_16 _let_6 _let_20))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.r _let_12 _let_6 _let_16))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_76 _let_32))) (let ((_let_80 (tptp.r _let_14 _let_5 _let_16))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.r _let_12 _let_5 _let_14))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_81 _let_77))) (let ((_let_85 (tptp.r _let_15 tptp.zero _let_16))) (let ((_let_86 (not _let_85))) (let ((_let_87 (tptp.r _let_14 tptp.zero _let_15))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_86 _let_80))) (let ((_let_90 (tptp.r _let_13 tptp.zero _let_14))) (let ((_let_91 (not _let_90))) (let ((_let_92 (tptp.r _let_12 tptp.zero _let_13))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_91 _let_82))) (let ((_let_95 (tptp.r _let_18 _let_5 _let_20))) (let ((_let_96 (not _let_95))) (let ((_let_97 (tptp.r _let_16 _let_5 _let_18))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_96 _let_75))) (let ((_let_100 (tptp.r _let_19 tptp.zero _let_20))) (let ((_let_101 (not _let_100))) (let ((_let_102 (tptp.r _let_18 tptp.zero _let_19))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_101 _let_95))) (let ((_let_105 (tptp.r _let_17 tptp.zero _let_18))) (let ((_let_106 (not _let_105))) (let ((_let_107 (tptp.r _let_16 tptp.zero _let_17))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_108 _let_106 _let_97))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_5 _let_6 _let_8 _let_20 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.r tptp.zero Z3 Z2) false)) (not (= (tptp.r tptp.zero Z1 Z0) false))))) :args (_let_4))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_26 _let_24 _let_22 _let_31))) _let_72 _let_73 _let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_33 _let_35 _let_21 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_76 _let_78 _let_32 (not _let_79)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_98 _let_96 _let_75 (not _let_99)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_108 _let_106 _let_97 (not _let_109)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_16 QUANTIFIERS_INST_ENUM)) :args _let_54)) _let_55 :args (_let_107 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_17 QUANTIFIERS_INST_ENUM)) :args _let_54)) _let_55 :args (_let_105 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_16 tptp.zero _let_17 _let_18 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_109 false _let_37)) :args (_let_97 false _let_107 false _let_105 false _let_109)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_103 _let_101 _let_95 (not _let_104)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_18 QUANTIFIERS_INST_ENUM)) :args _let_54)) _let_55 :args (_let_102 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_19 QUANTIFIERS_INST_ENUM)) :args _let_54)) _let_55 :args (_let_100 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_18 tptp.zero _let_19 _let_20 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_104 false _let_37)) :args (_let_95 false _let_102 false _let_100 false _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_16 _let_5 _let_18 _let_20 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_99 false _let_37)) :args (_let_75 false _let_97 false _let_95 false _let_99)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_83 _let_81 _let_77 (not _let_84)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_93 _let_91 _let_82 (not _let_94)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_12 QUANTIFIERS_INST_ENUM)) :args _let_54)) _let_55 :args (_let_92 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_13 QUANTIFIERS_INST_ENUM)) :args _let_54)) _let_55 :args (_let_90 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_12 tptp.zero _let_13 _let_14 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_94 false _let_37)) :args (_let_82 false _let_92 false _let_90 false _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_88 _let_86 _let_80 (not _let_89)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_14 QUANTIFIERS_INST_ENUM)) :args _let_54)) _let_55 :args (_let_87 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_15 QUANTIFIERS_INST_ENUM)) :args _let_54)) _let_55 :args (_let_85 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_14 tptp.zero _let_15 _let_16 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_89 false _let_37)) :args (_let_80 false _let_87 false _let_85 false _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_12 _let_5 _let_14 _let_16 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_84 false _let_37)) :args (_let_77 false _let_82 false _let_80 false _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_12 _let_6 _let_16 _let_20 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_79 false _let_37)) :args (_let_32 false _let_75 false _let_77 false _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_24 _let_42 _let_34 (not _let_43)))) _let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_45 _let_41 (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_59 _let_57 _let_46 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_8 QUANTIFIERS_INST_ENUM)) :args _let_54)) _let_55 :args (_let_58 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_9 QUANTIFIERS_INST_ENUM)) :args _let_54)) _let_55 :args (_let_56 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_8 tptp.zero _let_9 _let_10 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_60 false _let_37)) :args (_let_46 false _let_58 false _let_56 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_50 _let_44 (not _let_53)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_10 QUANTIFIERS_INST_ENUM)) :args _let_54)) _let_55 :args (_let_51 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_11 QUANTIFIERS_INST_ENUM)) :args _let_54)) _let_55 :args (_let_49 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_10 tptp.zero _let_11 _let_12 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_53 false _let_37)) :args (_let_44 false _let_51 false _let_49 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_8 _let_5 _let_10 _let_12 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_48 false _let_37)) :args (_let_41 false _let_46 false _let_44 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.zero _let_6 _let_8 _let_12 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_43 false _let_37)) :args (_let_34 false _let_23 false _let_41 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.zero _let_7 _let_12 _let_20 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_36 false _let_37)) :args (_let_21 false _let_32 false _let_34 false _let_36)) :args (_let_31 false _let_27 false _let_25 false _let_23 false _let_21)) _let_30 :args (false true _let_29 false _let_4)) :args (_let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.24/0.78 )
% 0.24/0.78 % SZS output end Proof for SYN986+1.003
% 0.24/0.78 % cvc5---1.0.5 exiting
% 0.24/0.78 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------