TSTP Solution File: NUM453+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM453+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 0.52s 0.82s
% Output : Proof 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM453+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n029.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 15:29:24 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.52/0.82 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.aVT1AvKAcg/cvc5---1.0.5_12906.p...
% 0.52/0.82 ------- get file name : TPTP file name is NUM453+1
% 0.52/0.82 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12906.smt2...
% 0.52/0.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.52/0.82 % SZS status Theorem for NUM453+1
% 0.52/0.82 % SZS output start Proof for NUM453+1
% 0.52/0.82 (
% 0.52/0.82 (let ((_let_1 (tptp.smndt0 tptp.xp))) (let ((_let_2 (tptp.sdtpldt0 tptp.sz10 _let_1))) (let ((_let_3 (tptp.sdtpldt0 tptp.sz10 tptp.xp))) (let ((_let_4 (not (and (not (= _let_3 tptp.sz10)) (not (= _let_2 tptp.sz10)))))) (let ((_let_5 (tptp.szAzrzSzezqlpdtcmdtrp0 tptp.sz10 tptp.xp))) (let ((_let_6 (tptp.sbsmnsldt0 tptp.xS))) (let ((_let_7 (tptp.stldt0 _let_6))) (let ((_let_8 (tptp.aInteger0 tptp.xp))) (let ((_let_9 (and _let_8 (not (= tptp.xp tptp.sz00)) (tptp.aSubsetOf0 _let_5 _let_7)))) (let ((_let_10 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))))) (let ((_let_11 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 _let_1 W0) _let_2) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))))) (let ((_let_12 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_13 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W2))) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) _let_1)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 _let_1 (tptp.sdtasdt0 W1 W2))))))))) (let ((_let_14 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_15 (forall ((W0 $$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_16 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_17 (forall ((W0 $$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_18 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_19 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_20 (tptp.aInteger0 tptp.sz10))) (let ((_let_21 (tptp.aInteger0 tptp.sz00))) (let ((_let_22 (tptp.sdtpldt0 tptp.xp tptp.sz00))) (let ((_let_23 (= tptp.xp _let_22))) (let ((_let_24 (tptp.sdtpldt0 tptp.xp _let_1))) (let ((_let_25 (= tptp.sz00 _let_24))) (let ((_let_26 (tptp.sdtasdt0 tptp.xp tptp.sz00))) (let ((_let_27 (= tptp.sz00 _let_26))) (let ((_let_28 (tptp.sdtasdt0 tptp.sz00 tptp.xp))) (let ((_let_29 (= tptp.sz00 _let_28))) (let ((_let_30 (tptp.smndt0 tptp.sz10))) (let ((_let_31 (tptp.sdtasdt0 _let_30 tptp.sz10))) (let ((_let_32 (= _let_30 _let_31))) (let ((_let_33 (tptp.sdtasdt0 _let_30 tptp.xp))) (let ((_let_34 (= _let_1 _let_33))) (let ((_let_35 (= tptp.sz10 _let_3))) (let ((_let_36 (tptp.sdtpldt0 tptp.sz00 _let_1))) (let ((_let_37 (= _let_1 _let_36))) (let ((_let_38 (tptp.sdtasdt0 _let_1 tptp.xp))) (let ((_let_39 (tptp.sdtasdt0 tptp.xp tptp.xp))) (let ((_let_40 (= (tptp.sdtasdt0 _let_24 tptp.xp) (tptp.sdtpldt0 _let_39 _let_38)))) (let ((_let_41 (= (tptp.sdtasdt0 _let_36 tptp.xp) (tptp.sdtpldt0 _let_28 _let_38)))) (let ((_let_42 (= (tptp.sdtasdt0 tptp.xp _let_22) (tptp.sdtpldt0 _let_39 _let_26)))) (let ((_let_43 (tptp.sdtpldt0 _let_33 _let_38))) (let ((_let_44 (= (tptp.sdtasdt0 (tptp.sdtpldt0 _let_30 _let_1) tptp.xp) _let_43))) (let ((_let_45 (= (tptp.sdtasdt0 _let_30 _let_3) (tptp.sdtpldt0 _let_31 _let_33)))) (let ((_let_46 (tptp.sdtasdt0 tptp.xp _let_1))) (let ((_let_47 (= _let_38 _let_46))) (let ((_let_48 (= tptp.sz00 _let_39))) (let ((_let_49 (= (tptp.sdtpldt0 tptp.xp _let_43) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xp _let_33) _let_38)))) (let ((_let_50 (and _let_23 (= tptp.xp (tptp.sdtpldt0 tptp.sz00 tptp.xp))))) (let ((_let_51 (not _let_8))) (let ((_let_52 (or _let_51 _let_50))) (let ((_let_53 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz00)) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_53))) (let ((_let_56 ((not (= (tptp.aInteger0 W0) false))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (AND_ELIM _let_57 :args (0)))) (let ((_let_59 (tptp.sdtpldt0 _let_1 tptp.xp))) (let ((_let_60 (= tptp.sz00 _let_59))) (let ((_let_61 (and _let_25 _let_60))) (let ((_let_62 (or _let_51 _let_61))) (let ((_let_63 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (or (not (tptp.aInteger0 W0)) (and (= tptp.sz00 (tptp.sdtpldt0 W0 _let_1)) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_51 _let_61 (not _let_62)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aInteger0 W0) false))))) :args (_let_63))) _let_64 :args (_let_62 false _let_63)) :args (_let_61 false _let_8 false _let_62)))) (let ((_let_66 (not _let_61))) (let ((_let_67 (and _let_27 _let_29))) (let ((_let_68 (or _let_51 _let_67))) (let ((_let_69 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (and (= tptp.sz00 (tptp.sdtasdt0 W0 tptp.sz00)) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_51 _let_67 (not _let_68)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aInteger0 W0) false))))) :args (_let_69))) _let_70 :args (_let_68 false _let_69)) :args (_let_67 false _let_8 false _let_68)))) (let ((_let_72 (not _let_67))) (let ((_let_73 (and _let_32 (= _let_30 (tptp.sdtasdt0 tptp.sz10 _let_30))))) (let ((_let_74 (not _let_20))) (let ((_let_75 (or _let_74 _let_73))) (let ((_let_76 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (or (not (tptp.aInteger0 W0)) (and (= _let_2 (tptp.sdtasdt0 _let_1 W0)) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_76))) (let ((_let_79 ((not (= (tptp.aInteger0 W0) false))))) (let ((_let_80 (ASSUME :args (_let_20)))) (let ((_let_81 (and _let_34 (= _let_1 (tptp.sdtasdt0 tptp.xp _let_30))))) (let ((_let_82 (or _let_51 _let_81))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_81 0)) :args ((or _let_34 (not _let_81)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_51 _let_81 (not _let_82)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_78)) _let_77 :args (_let_82 false _let_76)) :args (_let_81 false _let_8 false _let_82)) :args (_let_34 false _let_81)))) (let ((_let_84 (= tptp.sz10 _let_2))) (let ((_let_85 (= (tptp.sdtpldt0 tptp.sz10 _let_59) (tptp.sdtpldt0 _let_2 tptp.xp)))) (let ((_let_86 (= tptp.sz10 (tptp.sdtpldt0 tptp.sz10 tptp.sz00)))) (let ((_let_87 (not _let_84))) (let ((_let_88 (not _let_35))) (let ((_let_89 (tptp.aInteger0 _let_1))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_74 _let_90 _let_51 _let_85))) (let ((_let_92 (forall ((W0 $$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_93 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (_let_92))) (let ((_let_95 (or _let_51 _let_89))) (let ((_let_96 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (_let_96))) (let ((_let_99 ((tptp.smndt0 W0)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_51 _let_89 (not _let_95)))) _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_98)) _let_97 :args (_let_95 false _let_96)) :args (_let_89 false _let_8 false _let_95)))) (let ((_let_101 (and _let_86 (= tptp.sz10 (tptp.sdtpldt0 tptp.sz00 tptp.sz10))))) (let ((_let_102 (or _let_74 _let_101))) (let ((_let_103 (and _let_84 _let_85 _let_86 _let_60))) (let ((_let_104 (APPLY_UF tptp.sdtpldt0))) (let ((_let_105 (REFL :args (tptp.xp)))) (let ((_let_106 (ASSUME :args (_let_84)))) (let ((_let_107 (ASSUME :args (_let_85)))) (let ((_let_108 (ASSUME :args (_let_60)))) (let ((_let_109 (ASSUME :args (_let_86)))) (let ((_let_110 (and (= _let_1 (tptp.sdtpldt0 _let_1 tptp.sz00)) _let_37))) (let ((_let_111 (or _let_90 _let_110))) (let ((_let_112 (and (= (tptp.sdtasdt0 tptp.xp _let_59) (tptp.sdtpldt0 _let_46 _let_39)) _let_40))) (let ((_let_113 (or _let_51 _let_90 _let_51 _let_112))) (let ((_let_114 (forall ((W0 $$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_115 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_116 (_let_114))) (let ((_let_117 ((tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2))))) (let ((_let_118 (and (= (tptp.sdtasdt0 tptp.sz00 _let_59) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.sz00 _let_1) _let_28)) _let_41))) (let ((_let_119 (not _let_21))) (let ((_let_120 (or _let_119 _let_90 _let_51 _let_118))) (let ((_let_121 (ASSUME :args (_let_21)))) (let ((_let_122 (and _let_42 (= (tptp.sdtasdt0 (tptp.sdtpldt0 tptp.xp tptp.xp) tptp.sz00) (tptp.sdtpldt0 _let_26 _let_26))))) (let ((_let_123 (or _let_51 _let_51 _let_119 _let_122))) (let ((_let_124 ((tptp.sdtpldt0 (tptp.sdtasdt0 W0 W2) (tptp.sdtasdt0 W1 W2))))) (let ((_let_125 (and (= (tptp.sdtasdt0 _let_30 _let_59) (tptp.sdtpldt0 (tptp.sdtasdt0 _let_30 _let_1) _let_33)) _let_44))) (let ((_let_126 (tptp.aInteger0 _let_30))) (let ((_let_127 (not _let_126))) (let ((_let_128 (or _let_127 _let_90 _let_51 _let_125))) (let ((_let_129 (or _let_74 _let_126))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_74 _let_126 (not _let_129)))) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.sz10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_98)) _let_97 :args (_let_129 false _let_96)) :args (_let_126 false _let_20 false _let_129)))) (let ((_let_131 (and _let_45 (= (tptp.sdtasdt0 (tptp.sdtpldt0 _let_30 tptp.sz10) tptp.xp) (tptp.sdtpldt0 _let_33 (tptp.sdtasdt0 tptp.sz10 tptp.xp)))))) (let ((_let_132 (or _let_127 _let_74 _let_51 _let_131))) (let ((_let_133 (or _let_51 _let_90 _let_47))) (let ((_let_134 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_135 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_136 (= tptp.sz00 tptp.xp))) (let ((_let_137 (not _let_48))) (let ((_let_138 (or _let_51 _let_51 _let_137 _let_136 _let_136))) (let ((_let_139 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (= tptp.sz00 (tptp.sdtasdt0 W0 W1))) (= tptp.sz00 W0) (= tptp.sz00 W1))))) (let ((_let_140 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_141 (tptp.aInteger0 _let_38))) (let ((_let_142 (not _let_141))) (let ((_let_143 (tptp.aInteger0 _let_33))) (let ((_let_144 (not _let_143))) (let ((_let_145 (or _let_51 _let_144 _let_142 _let_49))) (let ((_let_146 (and _let_89 _let_34))) (let ((_let_147 (_let_89 _let_34))) (let ((_let_148 (ASSUME :args (_let_89)))) (let ((_let_149 (ASSUME :args (_let_34)))) (let ((_let_150 (SYMM _let_149))) (let ((_let_151 (or _let_90 _let_51 _let_141))) (let ((_let_152 (forall 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tptp.cS1395) (tptp.aSubsetOf0 W1 tptp.cS1395)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtslmnbsdt0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aInteger0 W3) (tptp.aElementOf0 W3 W0) (tptp.aElementOf0 W3 W1))))))))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aSubsetOf0 W1 tptp.cS1395)))) (forall ((W1 $$unsorted)) (= (= W1 (tptp.sbsmnsldt0 W0)) (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (= (tptp.aElementOf0 W2 W1) (and (tptp.aInteger0 W2) (exists ((W3 $$unsorted)) (and (tptp.aElementOf0 W3 W0) (tptp.aElementOf0 W2 W3))))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aSubsetOf0 W0 tptp.cS1395) (forall ((W1 $$unsorted)) (= (= W1 (tptp.stldt0 W0)) (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (= (tptp.aElementOf0 W2 W1) (and (tptp.aInteger0 W2) (not (tptp.aElementOf0 W2 W0)))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (not (= W1 tptp.sz00))) (forall ((W2 $$unsorted)) (= (= W2 (tptp.szAzrzSzezqlpdtcmdtrp0 W0 W1)) (and (tptp.aSet0 W2) (forall ((W3 $$unsorted)) (= (tptp.aElementOf0 W3 W2) (and (tptp.aInteger0 W3) (tptp.sdteqdtlpzmzozddtrp0 W3 W0 W1))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aSubsetOf0 W0 tptp.cS1395) (= (tptp.isOpen0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (exists ((W2 $$unsorted)) (and (tptp.aInteger0 W2) (not (= W2 tptp.sz00)) (tptp.aSubsetOf0 (tptp.szAzrzSzezqlpdtcmdtrp0 W1 W2) W0)))))))) (forall ((W0 $$unsorted)) (=> (tptp.aSubsetOf0 W0 tptp.cS1395) (= (tptp.isClosed0 W0) (tptp.isOpen0 (tptp.stldt0 W0))))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (tptp.aSubsetOf0 W1 tptp.cS1395) (tptp.isOpen0 W1))))) (tptp.isOpen0 (tptp.sbsmnsldt0 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSubsetOf0 W0 tptp.cS1395) (tptp.aSubsetOf0 W1 tptp.cS1395) (tptp.isOpen0 W0) (tptp.isOpen0 W1)) (tptp.isOpen0 (tptp.sdtslmnbsdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSubsetOf0 W0 tptp.cS1395) (tptp.aSubsetOf0 W1 tptp.cS1395) (tptp.isClosed0 W0) (tptp.isClosed0 W1)) (tptp.isClosed0 (tptp.sdtbsmnsldt0 W0 W1)))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isFinite0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (and (tptp.aSubsetOf0 W1 tptp.cS1395) (tptp.isClosed0 W1))))) (tptp.isClosed0 (tptp.sbsmnsldt0 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (let ((_let_1 (tptp.szAzrzSzezqlpdtcmdtrp0 W0 W1))) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (not (= W1 tptp.sz00))) (and (tptp.aSubsetOf0 _let_1 tptp.cS1395) (tptp.isClosed0 _let_1))))) (= tptp.xS tptp.cS2043) (= _let_7 tptp.cS2076) (tptp.isFinite0 tptp.xS) (and (tptp.isClosed0 _let_6) (tptp.isOpen0 _let_7)) _let_9 (and (tptp.aElementOf0 _let_3 _let_5) (tptp.aElementOf0 _let_2 _let_5)) _let_4 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.52/0.83 )
% 0.52/0.83 % SZS output end Proof for NUM453+1
% 0.52/0.83 % cvc5---1.0.5 exiting
% 0.67/0.83 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------