TSTP Solution File: NUM452+6 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM452+6 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 10:44:02 EDT 2023
% Result : Theorem 0.22s 0.75s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM452+6 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 25 11:34:48 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.75 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.SP7agDwOli/cvc5---1.0.5_11675.p...
% 0.22/0.75 ------- get file name : TPTP file name is NUM452+6
% 0.22/0.75 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11675.smt2...
% 0.22/0.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.75 % SZS status Theorem for NUM452+6
% 0.22/0.75 % SZS output start Proof for NUM452+6
% 0.22/0.75 (
% 0.22/0.75 (let ((_let_1 (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz10 tptp.xp))) (let ((_let_2 (tptp.smndt0 tptp.xp))) (let ((_let_3 (tptp.sdtpldt0 tptp.sz10 _let_2))) (let ((_let_4 (tptp.aElementOf0 _let_3 _let_1))) (let ((_let_5 (tptp.sdteqdtlpzmzozddtrp0 _let_3 tptp.sz10 tptp.xp))) (let ((_let_6 (tptp.smndt0 tptp.sz10))) (let ((_let_7 (tptp.sdtpldt0 _let_3 _let_6))) (let ((_let_8 (tptp.aDivisorOf0 tptp.xp _let_7))) (let ((_let_9 (tptp.sdtpldt0 tptp.sz10 tptp.xp))) (let ((_let_10 (tptp.aElementOf0 _let_9 _let_1))) (let ((_let_11 (tptp.sdteqdtlpzmzozddtrp0 _let_9 tptp.sz10 tptp.xp))) (let ((_let_12 (tptp.sdtpldt0 _let_9 _let_6))) (let ((_let_13 (tptp.aDivisorOf0 tptp.xp _let_12))) (let ((_let_14 (not (and (or (exists ((W0 $$unsorted)) (and (tptp.aInteger0 W0) (= (tptp.sdtasdt0 tptp.xp W0) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.sz10 tptp.xp) (tptp.smndt0 tptp.sz10))))) _let_13 _let_11 _let_10) (or (exists ((W0 $$unsorted)) (and (tptp.aInteger0 W0) (= (tptp.sdtasdt0 tptp.xp W0) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.sz10 (tptp.smndt0 tptp.xp)) (tptp.smndt0 tptp.sz10))))) _let_8 _let_5 _let_4))))) (let ((_let_15 (tptp.sbsmnsldt0 tptp.xS))) (let ((_let_16 (tptp.stldt0 _let_15))) (let ((_let_17 (tptp.aSet0 _let_15))) (let ((_let_18 (tptp.aInteger0 tptp.xp))) (let ((_let_19 (and _let_18 (not (= tptp.xp tptp.sz00)) (tptp.aSet0 _let_1) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.aElementOf0 W0 (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz10 tptp.xp)))) (let ((_let_2 (tptp.sdteqdtlpzmzozddtrp0 W0 tptp.sz10 tptp.xp))) (let ((_let_3 (tptp.aDivisorOf0 tptp.xp (tptp.sdtpldt0 W0 (tptp.smndt0 tptp.sz10))))) (let ((_let_4 (tptp.aInteger0 W0))) (and (=> _let_1 (and _let_4 (exists ((W1 $$unsorted)) (and (tptp.aInteger0 W1) (= (tptp.sdtasdt0 tptp.xp W1) (tptp.sdtpldt0 W0 (tptp.smndt0 tptp.sz10))))) _let_3 _let_2)) (=> (and _let_4 (or (exists ((W1 $$unsorted)) (and (tptp.aInteger0 W1) (= (tptp.sdtasdt0 tptp.xp W1) (tptp.sdtpldt0 W0 (tptp.smndt0 tptp.sz10))))) _let_3 _let_2)) _let_1))))))) _let_17 (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sbsmnsldt0 tptp.xS)) (and (tptp.aInteger0 W0) (exists ((W1 $$unsorted)) (and (tptp.aElementOf0 W1 tptp.xS) (tptp.aElementOf0 W0 W1)))))) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sbsmnsldt0 tptp.xS))) (= (tptp.aElementOf0 W0 (tptp.stldt0 _let_1)) (and (tptp.aInteger0 W0) (not (tptp.aElementOf0 W0 _let_1)))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz10 tptp.xp)) (tptp.aElementOf0 W0 (tptp.stldt0 (tptp.sbsmnsldt0 tptp.xS))))) (tptp.aSubsetOf0 _let_1 _let_16)))) (let ((_let_20 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 _let_1 W0) _let_2) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))))) (let ((_let_21 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_22 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_23 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 _let_1) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_24 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_25 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_26 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (= (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))))) (let ((_let_27 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_28 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_29 (tptp.aInteger0 tptp.sz10))) (let ((_let_30 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (= (tptp.sdtasdt0 tptp.xp W0) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.sz10 (tptp.smndt0 tptp.xp)) (tptp.smndt0 tptp.sz10)))))))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_8 _let_5 _let_4))) (let ((_let_33 (or (not (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (= (tptp.sdtasdt0 tptp.xp W0) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.sz10 tptp.xp) (tptp.smndt0 tptp.sz10))))))) _let_13 _let_11 _let_10))) (let ((_let_34 (tptp.sdtasdt0 tptp.xp _let_6))) (let ((_let_35 (= _let_7 _let_34))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.aInteger0 _let_6))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36))) (let ((_let_40 (not _let_39))) (let ((_let_41 (= _let_2 (tptp.sdtpldt0 _let_2 tptp.sz00)))) (let ((_let_42 (tptp.sdtpldt0 _let_2 tptp.sz10))) (let ((_let_43 (tptp.sdtpldt0 tptp.sz10 _let_6))) (let ((_let_44 (= (tptp.sdtpldt0 _let_2 _let_43) (tptp.sdtpldt0 _let_42 _let_6)))) (let ((_let_45 (= _let_2 _let_34))) (let ((_let_46 (= _let_2 (tptp.sdtasdt0 _let_6 tptp.xp)))) (let ((_let_47 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xp)))) (let ((_let_48 (= tptp.sz00 _let_43))) (let ((_let_49 (= _let_3 _let_42))) (let ((_let_50 (and _let_41 (= _let_2 (tptp.sdtpldt0 tptp.sz00 _let_2))))) (let ((_let_51 (tptp.aInteger0 _let_2))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_50))) (let ((_let_54 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz00)) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_54))) (let ((_let_57 ((not (= (tptp.aInteger0 W0) false))))) (let ((_let_58 (not _let_18))) (let ((_let_59 (or _let_58 _let_51))) (let ((_let_60 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (_let_60))) (let ((_let_63 ((tptp.smndt0 W0)))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (AND_ELIM _let_64 :args (0)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_51 (not _let_59)))) _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)) _let_61 :args (_let_59 false _let_60)) :args (_let_51 false _let_18 false _let_59)))) (let ((_let_67 (not _let_29))) (let ((_let_68 (or _let_52 _let_67 _let_38 _let_44))) (let ((_let_69 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (tptp.aInteger0 W2)) (= (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (_let_69))) (let ((_let_72 (or _let_67 _let_37))) (let ((_let_73 (ASSUME :args (_let_29)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_67 _let_37 (not _let_72)))) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.sz10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)) _let_61 :args (_let_72 false _let_60)) :args (_let_37 false _let_29 false _let_72)))) (let ((_let_75 (and _let_46 _let_45))) (let ((_let_76 (or _let_58 _let_75))) (let ((_let_77 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (or (not (tptp.aInteger0 W0)) (and (= _let_2 (tptp.sdtasdt0 _let_1 W0)) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_58 _let_75 (not _let_76)))) _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aInteger0 W0) false))))) :args (_let_77))) _let_78 :args (_let_76 false _let_77)) :args (_let_75 false _let_18 false _let_76)))) (let ((_let_80 (not _let_75))) (let ((_let_81 (and (= tptp.sz00 (tptp.sdtasdt0 tptp.xp tptp.sz00)) _let_47))) (let ((_let_82 (or _let_58 _let_81))) (let ((_let_83 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (and (= tptp.sz00 (tptp.sdtasdt0 W0 tptp.sz00)) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_84 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_85 (tptp.sdtpldt0 _let_6 tptp.sz10))) (let ((_let_86 (= tptp.sz00 _let_85))) (let ((_let_87 (and _let_48 _let_86))) (let ((_let_88 (or _let_67 _let_87))) (let ((_let_89 (forall ((W0 $$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_90 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_67 _let_87 (not _let_88)))) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.sz10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aInteger0 W0) false))))) :args (_let_89))) _let_90 :args (_let_88 false _let_89)) :args (_let_87 false _let_29 false _let_88)))) (let ((_let_92 (not _let_87))) (let ((_let_93 (or _let_67 _let_52 _let_49))) (let ((_let_94 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (_let_94))) (let ((_let_97 ((tptp.sdtpldt0 W0 W1)))) (let ((_let_98 (and _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_41))) (let ((_let_99 (ASSUME :args (_let_45)))) (let ((_let_100 (ASSUME :args (_let_41)))) (let ((_let_101 (APPLY_UF tptp.sdtpldt0))) (let ((_let_102 (ASSUME :args (_let_47)))) (let ((_let_103 (ASSUME :args (_let_46)))) (let ((_let_104 (ASSUME :args (_let_48)))) (let ((_let_105 (ASSUME :args (_let_44)))) (let ((_let_106 (ASSUME :args (_let_49)))) (let ((_let_107 (_let_30))) (let ((_let_108 (tptp.sdtasdt0 tptp.xp tptp.sz10))) (let ((_let_109 (= _let_12 _let_108))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_67 _let_110))) (let ((_let_112 (and _let_111 (not _let_13) (not _let_11)))) (let ((_let_113 (tptp.aInteger0 _let_9))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_114 _let_112 _let_10))) (let ((_let_116 (forall ((BOUND_VARIABLE_2859 $$unsorted) (BOUND_VARIABLE_2893 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 BOUND_VARIABLE_2859 (tptp.smndt0 tptp.sz10)))) (or (not (tptp.aInteger0 BOUND_VARIABLE_2859)) (and (or (not (tptp.aInteger0 BOUND_VARIABLE_2893)) (not (= _let_1 (tptp.sdtasdt0 tptp.xp BOUND_VARIABLE_2893)))) (not (tptp.aDivisorOf0 tptp.xp _let_1)) (not (tptp.sdteqdtlpzmzozddtrp0 BOUND_VARIABLE_2859 tptp.sz10 tptp.xp))) (tptp.aElementOf0 BOUND_VARIABLE_2859 (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz10 tptp.xp))))))) (let ((_let_117 (_let_116))) (let ((_let_118 (not _let_112))) (let ((_let_119 (not _let_111))) (let ((_let_120 (tptp.sdtpldt0 _let_6 _let_9))) (let ((_let_121 (= _let_120 (tptp.sdtpldt0 _let_85 tptp.xp)))) (let ((_let_122 (= tptp.xp _let_108))) (let ((_let_123 (= tptp.xp (tptp.sdtpldt0 tptp.sz00 tptp.xp)))) (let ((_let_124 (= _let_12 _let_120))) (let ((_let_125 (or _let_38 _let_67 _let_58 _let_121))) (let ((_let_126 (and _let_122 (= tptp.xp (tptp.sdtasdt0 tptp.sz10 tptp.xp))))) (let ((_let_127 (or _let_58 _let_126))) (let ((_let_128 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_129 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_130 (and (= tptp.xp (tptp.sdtpldt0 tptp.xp tptp.sz00)) _let_123))) (let ((_let_131 (or _let_58 _let_130))) (let ((_let_132 (or _let_114 _let_38 _let_124))) (let ((_let_133 (or _let_67 _let_58 _let_113))) (let ((_let_134 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_135 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_67 _let_58 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$$unsorted)) (let ((_let_1 (tptp.aElementOf0 W2 (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz00 W1)))) (let ((_let_2 (tptp.sdteqdtlpzmzozddtrp0 W2 tptp.sz00 W1))) (let ((_let_3 (tptp.aDivisorOf0 W1 (tptp.sdtpldt0 W2 (tptp.smndt0 tptp.sz00))))) (let ((_let_4 (tptp.aInteger0 W2))) (and (=> _let_1 (and _let_4 (exists ((W3 $$unsorted)) (and (tptp.aInteger0 W3) (= (tptp.sdtasdt0 W1 W3) (tptp.sdtpldt0 W2 (tptp.smndt0 tptp.sz00))))) _let_3 _let_2)) (=> (and _let_4 (or (exists ((W3 $$unsorted)) (and (tptp.aInteger0 W3) (= (tptp.sdtasdt0 W1 W3) (tptp.sdtpldt0 W2 (tptp.smndt0 tptp.sz00))))) _let_3 _let_2)) _let_1))))))) (= _let_1 W0))))) (=> (exists ((W1 $$unsorted)) (let ((_let_1 (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz00 W1))) (and (tptp.aInteger0 W1) (not (= W1 tptp.sz00)) (tptp.isPrime0 W1) (=> (and (tptp.aSet0 _let_1) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.aElementOf0 W2 (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz00 W1)))) (let ((_let_2 (tptp.sdteqdtlpzmzozddtrp0 W2 tptp.sz00 W1))) (let ((_let_3 (tptp.aDivisorOf0 W1 (tptp.sdtpldt0 W2 (tptp.smndt0 tptp.sz00))))) (let ((_let_4 (tptp.aInteger0 W2))) (and (=> _let_1 (and _let_4 (exists ((W3 $$unsorted)) (and (tptp.aInteger0 W3) (= (tptp.sdtasdt0 W1 W3) (tptp.sdtpldt0 W2 (tptp.smndt0 tptp.sz00))))) _let_3 _let_2)) (=> (and _let_4 (or (exists ((W3 $$unsorted)) (and (tptp.aInteger0 W3) (= (tptp.sdtasdt0 W1 W3) (tptp.sdtpldt0 W2 (tptp.smndt0 tptp.sz00))))) _let_3 _let_2)) _let_1)))))))) (= _let_1 W0))))) _let_1)))) (= tptp.xS tptp.cS2043)) (and _let_17 (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sbsmnsldt0 tptp.xS)) (and (tptp.aInteger0 W0) (exists ((W1 $$unsorted)) (and (tptp.aElementOf0 W1 tptp.xS) (tptp.aElementOf0 W0 W1)))))) (tptp.aSet0 _let_16) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sbsmnsldt0 tptp.xS))) (= (tptp.aElementOf0 W0 (tptp.stldt0 _let_1)) (and (tptp.aInteger0 W0) (not (tptp.aElementOf0 W0 _let_1)))))) (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.stldt0 (tptp.sbsmnsldt0 tptp.xS))) (or (= W0 tptp.sz10) (= W0 (tptp.smndt0 tptp.sz10))))) (= _let_16 tptp.cS2076)) (tptp.isFinite0 tptp.xS) (and _let_17 (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sbsmnsldt0 tptp.xS)) (and (tptp.aInteger0 W0) (exists ((W1 $$unsorted)) (and (tptp.aElementOf0 W1 tptp.xS) (tptp.aElementOf0 W0 W1)))))) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sbsmnsldt0 tptp.xS))) (= (tptp.aElementOf0 W0 (tptp.stldt0 _let_1)) (and (tptp.aInteger0 W0) (not (tptp.aElementOf0 W0 _let_1)))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.stldt0 (tptp.sbsmnsldt0 tptp.xS))) (exists ((W1 $$unsorted)) (let ((_let_1 (tptp.szAzrzSzezqlpdtcmdtrp0 W0 W1))) (and (tptp.aInteger0 W1) (not (= W1 tptp.sz00)) (tptp.aSet0 _let_1) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.aElementOf0 W2 (tptp.szAzrzSzezqlpdtcmdtrp0 W0 W1)))) (let ((_let_2 (tptp.sdteqdtlpzmzozddtrp0 W2 W0 W1))) (let ((_let_3 (tptp.aDivisorOf0 W1 (tptp.sdtpldt0 W2 (tptp.smndt0 W0))))) (let ((_let_4 (tptp.aInteger0 W2))) (and (=> _let_1 (and _let_4 (exists ((W3 $$unsorted)) (and (tptp.aInteger0 W3) (= (tptp.sdtasdt0 W1 W3) (tptp.sdtpldt0 W2 (tptp.smndt0 W0))))) _let_3 _let_2)) (=> (and _let_4 (or (exists ((W3 $$unsorted)) (and (tptp.aInteger0 W3) (= (tptp.sdtasdt0 W1 W3) (tptp.sdtpldt0 W2 (tptp.smndt0 W0))))) _let_3 _let_2)) _let_1))))))) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 (tptp.szAzrzSzezqlpdtcmdtrp0 W0 W1)) (tptp.aElementOf0 W2 (tptp.stldt0 (tptp.sbsmnsldt0 tptp.xS))))) (tptp.aSubsetOf0 _let_1 (tptp.stldt0 (tptp.sbsmnsldt0 tptp.xS)))))))) (tptp.isOpen0 _let_16) (tptp.isClosed0 _let_15) _let_17 (forall ((W0 $$unsorted)) (= (tptp.aElementOf0 W0 (tptp.sbsmnsldt0 tptp.xS)) (and (tptp.aInteger0 W0) (exists ((W1 $$unsorted)) (and (tptp.aElementOf0 W1 tptp.xS) (tptp.aElementOf0 W0 W1)))))) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.sbsmnsldt0 tptp.xS))) (= (tptp.aElementOf0 W0 (tptp.stldt0 _let_1)) (and (tptp.aInteger0 W0) (not (tptp.aElementOf0 W0 _let_1)))))) (forall ((W0 $$unsorted)) (=> (tptp.aElementOf0 W0 (tptp.stldt0 (tptp.sbsmnsldt0 tptp.xS))) (exists ((W1 $$unsorted)) (let ((_let_1 (tptp.szAzrzSzezqlpdtcmdtrp0 W0 W1))) (and (tptp.aInteger0 W1) (not (= W1 tptp.sz00)) (tptp.aSet0 _let_1) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.aElementOf0 W2 (tptp.szAzrzSzezqlpdtcmdtrp0 W0 W1)))) (let ((_let_2 (tptp.sdteqdtlpzmzozddtrp0 W2 W0 W1))) (let ((_let_3 (tptp.aDivisorOf0 W1 (tptp.sdtpldt0 W2 (tptp.smndt0 W0))))) (let ((_let_4 (tptp.aInteger0 W2))) (and (=> _let_1 (and _let_4 (exists ((W3 $$unsorted)) (and (tptp.aInteger0 W3) (= (tptp.sdtasdt0 W1 W3) (tptp.sdtpldt0 W2 (tptp.smndt0 W0))))) _let_3 _let_2)) (=> (and _let_4 (or (exists ((W3 $$unsorted)) (and (tptp.aInteger0 W3) (= (tptp.sdtasdt0 W1 W3) (tptp.sdtpldt0 W2 (tptp.smndt0 W0))))) _let_3 _let_2)) _let_1))))))) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 (tptp.szAzrzSzezqlpdtcmdtrp0 W0 W1)) (tptp.aElementOf0 W2 (tptp.stldt0 (tptp.sbsmnsldt0 tptp.xS))))) (tptp.aSubsetOf0 _let_1 (tptp.stldt0 (tptp.sbsmnsldt0 tptp.xS))))))))) _let_19 _let_14 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.76 )
% 0.22/0.76 % SZS output end Proof for NUM452+6
% 0.22/0.76 % cvc5---1.0.5 exiting
% 0.22/0.76 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------