TSTP Solution File: NUM421+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM421+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 10:43:45 EDT 2023
% Result : Theorem 0.34s 0.62s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM421+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 17:26:35 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.34/0.62 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.fUcf0au4G8/cvc5---1.0.5_4591.p...
% 0.34/0.62 ------- get file name : TPTP file name is NUM421+1
% 0.34/0.62 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4591.smt2...
% 0.34/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.34/0.62 % SZS status Theorem for NUM421+1
% 0.34/0.62 % SZS output start Proof for NUM421+1
% 0.34/0.62 (
% 0.34/0.62 (let ((_let_1 (tptp.sdtasdt0 tptp.sz00 tptp.xa))) (let ((_let_2 (= tptp.sz00 _let_1))) (let ((_let_3 (tptp.sdtasdt0 tptp.xa tptp.sz00))) (let ((_let_4 (not (and (= _let_3 tptp.sz00) _let_2)))) (let ((_let_5 (tptp.aInteger0 tptp.xa))) (let ((_let_6 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W2))) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) _let_1)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 _let_1 (tptp.sdtasdt0 W1 W2))))))))) (let ((_let_7 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_8 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_9 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 _let_1) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_10 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_11 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (= (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))))) (let ((_let_12 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_13 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_14 (tptp.aInteger0 tptp.sz10))) (let ((_let_15 (tptp.aInteger0 tptp.sz00))) (let ((_let_16 (= tptp.sz00 _let_3))) (let ((_let_17 (tptp.sdtasdt0 tptp.xa tptp.sz10))) (let ((_let_18 (tptp.smndt0 tptp.xa))) (let ((_let_19 (tptp.sdtasdt0 _let_18 tptp.sz10))) (let ((_let_20 (tptp.sdtpldt0 _let_19 _let_17))) (let ((_let_21 (= (tptp.sdtpldt0 _let_19 (tptp.sdtpldt0 _let_17 _let_1)) (tptp.sdtpldt0 _let_20 _let_1)))) (let ((_let_22 (tptp.sdtpldt0 _let_18 tptp.xa))) (let ((_let_23 (= (tptp.sdtasdt0 _let_22 tptp.sz10) _let_20))) (let ((_let_24 (tptp.sdtasdt0 tptp.sz10 tptp.xa))) (let ((_let_25 (tptp.sdtpldt0 tptp.sz10 tptp.sz00))) (let ((_let_26 (= (tptp.sdtasdt0 _let_25 tptp.xa) (tptp.sdtpldt0 _let_24 _let_1)))) (let ((_let_27 (= _let_3 (tptp.sdtpldt0 tptp.sz00 _let_3)))) (let ((_let_28 (= tptp.xa _let_24))) (let ((_let_29 (= tptp.xa _let_17))) (let ((_let_30 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.sz10)))) (let ((_let_31 (= _let_3 _let_1))) (let ((_let_32 (= tptp.sz00 _let_22))) (let ((_let_33 (= tptp.sz10 _let_25))) (let ((_let_34 (tptp.aInteger0 _let_1))) (let ((_let_35 (not _let_34))) (let ((_let_36 (tptp.aInteger0 _let_17))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.aInteger0 _let_19))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37 _let_35 _let_21))) (let ((_let_41 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (tptp.aInteger0 W2)) (= (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (and _let_29 _let_28))) (let ((_let_44 (not _let_5))) (let ((_let_45 (or _let_44 _let_43))) (let ((_let_46 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (_let_46))) (let ((_let_49 ((not (= (tptp.aInteger0 W0) false))))) (let ((_let_50 (ASSUME :args (_let_5)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_43 (not _let_45)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.xa QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) _let_47 :args (_let_45 false _let_46)) :args (_let_43 false _let_5 false _let_45)))) (let ((_let_52 (not _let_43))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_43 0)) :args ((or _let_29 _let_52))) _let_51 :args (_let_29 false _let_43)))) (let ((_let_54 (and _let_5 _let_29))) (let ((_let_55 (_let_5 _let_29))) (let ((_let_56 (ASSUME :args (_let_29)))) (let ((_let_57 (SYMM _let_56))) (let ((_let_58 (SYMM _let_57))) (let ((_let_59 (not _let_14))) (let ((_let_60 (tptp.aInteger0 _let_18))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_59 _let_38))) (let ((_let_63 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (_let_63))) (let ((_let_66 ((tptp.sdtasdt0 W0 W1)))) (let ((_let_67 (or _let_44 _let_60))) (let ((_let_68 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_44 _let_60 (not _let_67)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.xa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.smndt0 W0)))) :args (_let_68))) _let_69 :args (_let_67 false _let_68)) :args (_let_60 false _let_5 false _let_67)))) (let ((_let_71 (ASSUME :args (_let_14)))) (let ((_let_72 (not _let_15))) (let ((_let_73 (or _let_72 _let_44 _let_34))) (let ((_let_74 (ASSUME :args (_let_15)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_35 _let_39 _let_37 _let_21 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_72 _let_44 _let_34 (not _let_73)))) _let_74 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.sz00 tptp.xa QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_73 false _let_63)) :args (_let_34 false _let_15 false _let_5 false _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_59 _let_61 _let_38 (not _let_62)))) _let_71 _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_18 tptp.sz10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_62 false _let_63)) :args (_let_38 false _let_14 false _let_60 false _let_62)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_54)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_50 _let_56) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_58) :args (APPLY_UF tptp.aInteger0)) (TRUE_INTRO _let_50))) :args _let_55)) :args _let_55)) :args (true _let_54)) _let_50 _let_53 :args (_let_36 false _let_5 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_19 _let_17 _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))) :args (_let_41))) _let_42 :args (_let_40 false _let_41)) :args (_let_21 false _let_34 false _let_38 false _let_36 false _let_40)))) (let ((_let_76 (and (= (tptp.sdtasdt0 _let_18 (tptp.sdtpldt0 tptp.xa tptp.sz10)) (tptp.sdtpldt0 (tptp.sdtasdt0 _let_18 tptp.xa) _let_19)) _let_23))) (let ((_let_77 (or _let_61 _let_44 _let_59 _let_76))) (let ((_let_78 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W2))) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (tptp.aInteger0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) _let_1)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 _let_1 (tptp.sdtasdt0 W1 W2))))))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (_let_78))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_76 1)) :args ((or _let_23 (not _let_76)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_59 _let_44 _let_61 _let_76 (not _let_77)))) _let_71 _let_50 _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_18 tptp.xa tptp.sz10 QUANTIFIERS_INST_E_MATCHING ((tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2)))) :args _let_80)) _let_79 :args (_let_77 false _let_78)) :args (_let_76 false _let_14 false _let_5 false _let_60 false _let_77)) :args (_let_23 false _let_76)))) (let ((_let_82 (tptp.sdtasdt0 tptp.sz10 tptp.sz00))) (let ((_let_83 (and (= (tptp.sdtasdt0 tptp.sz10 (tptp.sdtpldt0 tptp.sz00 tptp.xa)) (tptp.sdtpldt0 _let_82 _let_24)) _let_26))) (let ((_let_84 (or _let_59 _let_72 _let_44 _let_83))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_83 1)) :args ((or _let_26 (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_72 _let_59 _let_44 _let_83 (not _let_84)))) _let_74 _let_71 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (tptp.sz10 tptp.sz00 tptp.xa QUANTIFIERS_INST_E_MATCHING ((tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2))))) :args _let_80)) _let_79 :args (_let_84 false _let_78)) :args (_let_83 false _let_15 false _let_14 false _let_5 false _let_84)) :args (_let_26 false _let_83)))) (let ((_let_86 (and (= _let_3 (tptp.sdtpldt0 _let_3 tptp.sz00)) _let_27))) (let ((_let_87 (tptp.aInteger0 _let_3))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_86))) (let ((_let_90 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz00)) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (_let_90))) (let ((_let_93 ((not (= (tptp.aInteger0 W0) false))))) (let ((_let_94 (or _let_44 _let_72 _let_87))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_86 1)) :args ((or _let_27 (not _let_86)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_88 _let_86 (not _let_89)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_72 _let_44 _let_87 (not _let_94)))) _let_74 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.xa tptp.sz00 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) _let_64 :args (_let_94 false _let_63)) :args (_let_87 false _let_15 false _let_5 false _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_92)) _let_91 :args (_let_89 false _let_90)) :args (_let_86 false _let_87 false _let_89)) :args (_let_27 false _let_86)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_43 1)) :args ((or _let_28 _let_52))) _let_51 :args (_let_28 false _let_43)))) (let ((_let_97 (and _let_30 (= tptp.sz00 _let_82)))) (let ((_let_98 (or _let_72 _let_97))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_97 0)) :args ((or _let_30 (not _let_97)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_72 _let_97 (not _let_98)))) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.sz00 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) _let_47 :args (_let_98 false _let_46)) :args (_let_97 false _let_15 false _let_98)) :args (_let_30 false _let_97)))) (let ((_let_100 (or _let_72 _let_44 _let_31))) (let ((_let_101 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_72 _let_44 _let_31 (not _let_100)))) _let_74 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.sz00 tptp.xa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtasdt0 W0 W1)))) :args (_let_101)))) _let_102 :args (_let_100 false _let_101)) :args (_let_31 false _let_15 false _let_5 false _let_100)))) (let ((_let_104 (and (= tptp.sz00 (tptp.sdtpldt0 tptp.xa _let_18)) _let_32))) (let ((_let_105 (or _let_44 _let_104))) (let ((_let_106 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (or (not (tptp.aInteger0 W0)) (and (= tptp.sz00 (tptp.sdtpldt0 W0 _let_1)) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_107 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_104 1)) :args ((or _let_32 (not _let_104)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_44 _let_104 (not _let_105)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (tptp.xa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aInteger0 W0) false))))) :args (_let_106))) _let_107 :args (_let_105 false _let_106)) :args (_let_104 false _let_5 false _let_105)) :args (_let_32 false _let_104)))) (let ((_let_109 (and _let_33 (= tptp.sz10 (tptp.sdtpldt0 tptp.sz00 tptp.sz10))))) (let ((_let_110 (or _let_59 _let_109))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_109 0)) :args ((or _let_33 (not _let_109)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_59 _let_109 (not _let_110)))) _let_71 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.sz10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_92)) _let_91 :args (_let_110 false _let_90)) :args (_let_109 false _let_14 false _let_110)) :args (_let_33 false _let_109)))) (let ((_let_112 (not _let_21))) (let ((_let_113 (not _let_23))) (let ((_let_114 (not _let_26))) (let ((_let_115 (not _let_27))) (let ((_let_116 (not _let_28))) (let ((_let_117 (not _let_29))) (let ((_let_118 (not _let_30))) (let ((_let_119 (not _let_31))) (let ((_let_120 (not _let_32))) (let ((_let_121 (not _let_33))) (let ((_let_122 (and _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_23 _let_21))) (let ((_let_123 (true _let_122))) (let ((_let_124 (_let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_23 _let_21))) (let ((_let_125 (ASSUME :args (_let_27)))) (let ((_let_126 (APPLY_UF tptp.sdtpldt0))) (let ((_let_127 (ASSUME :args (_let_31)))) (let ((_let_128 (SYMM _let_127))) (let ((_let_129 (ASSUME :args (_let_30)))) (let ((_let_130 (SYMM _let_129))) (let ((_let_131 (REFL :args (_let_1)))) (let ((_let_132 (APPLY_UF tptp.sdtasdt0))) (let ((_let_133 (ASSUME :args (_let_32)))) (let ((_let_134 (CONG (SYMM _let_133) (REFL :args (tptp.sz10)) :args _let_132))) (let ((_let_135 (ASSUME :args (_let_23)))) (let ((_let_136 (ASSUME :args (_let_21)))) (let ((_let_137 (ASSUME :args (_let_28)))) (let ((_let_138 (ASSUME :args (_let_26)))) (let ((_let_139 (ASSUME :args (_let_33)))) (let ((_let_140 (MODUS_PONENS (AND_INTRO _let_125 _let_129 _let_127 _let_133 _let_135 _let_136 _let_56 _let_137 _let_138 _let_139) (SCOPE (TRANS _let_129 (SYMM _let_134) _let_135 (CONG (REFL :args (_let_19)) (TRANS _let_57 _let_137 (CONG (SYMM (SYMM _let_139)) (REFL :args (tptp.xa)) :args _let_132) (SYMM (SYMM _let_138)) (CONG (TRANS (SYMM _let_137) _let_58) _let_131 :args _let_126)) :args _let_126) (SYMM (SYMM _let_136)) (CONG (TRANS (TRANS (SYMM _let_135) _let_134 _let_130) _let_129) _let_131 :args _let_126) (CONG _let_130 _let_128 :args _let_126) (SYMM _let_125)) :args (_let_27 _let_30 _let_31 _let_32 _let_23 _let_21 _let_29 _let_28 _let_26 _let_33))))) (let ((_let_141 (CNF_AND_NEG :args (_let_122)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_141 (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_127 _let_140) (SCOPE (TRANS (SYMM (SYMM (ASSUME :args (_let_16)))) (SYMM _let_128)) :args (_let_31 _let_16))) :args _let_124)) :args _let_123) :args ((or _let_2 _let_121 _let_120 _let_119 _let_118 _let_117 _let_116 _let_115 _let_114 _let_113 _let_112))) _let_111 _let_108 _let_103 _let_99 _let_53 _let_96 _let_95 _let_85 _let_81 _let_75 :args (_let_2 false _let_33 false _let_32 false _let_31 false _let_30 false _let_29 false _let_28 false _let_27 false _let_26 false _let_23 false _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_141 (IMPLIES_ELIM (SCOPE _let_140 :args _let_124)) :args _let_123) :args ((or _let_16 _let_121 _let_120 _let_119 _let_118 _let_117 _let_116 _let_115 _let_114 _let_113 _let_112))) _let_111 _let_108 _let_103 _let_99 _let_53 _let_96 _let_95 _let_85 _let_81 _let_75 :args (_let_16 false _let_33 false _let_32 false _let_31 false _let_30 false _let_29 false _let_28 false _let_27 false _let_26 false _let_23 false _let_21)) :args (false false _let_2 false _let_16)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) true)) _let_15 _let_14 _let_13 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtpldt0 W0 W1)))) _let_12 _let_11 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))) _let_10 _let_9 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (= (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2)) (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))) _let_8 _let_7 _let_6 _let_5 _let_4 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.34/0.63 )
% 0.34/0.63 % SZS output end Proof for NUM421+1
% 0.34/0.63 % cvc5---1.0.5 exiting
% 0.34/0.63 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------