TSTP Solution File: NUM483+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM483+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 10:44:20 EDT 2023
% Result : Theorem 1.59s 1.83s
% Output : Proof 1.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM483+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 08:48:36 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 %----Proving TF0_NAR, FOF, or CNF
% 1.59/1.83 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.k2CPsPlOEz/cvc5---1.0.5_6479.p...
% 1.59/1.83 ------- get file name : TPTP file name is NUM483+1
% 1.59/1.83 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6479.smt2...
% 1.59/1.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.59/1.83 % SZS status Theorem for NUM483+1
% 1.59/1.83 % SZS output start Proof for NUM483+1
% 1.59/1.83 (
% 1.59/1.83 (let ((_let_1 (not (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (tptp.doDivides0 W0 tptp.xk) (tptp.isPrime0 W0)))))) (let ((_let_2 (tptp.isPrime0 tptp.xk))) (let ((_let_3 (not _let_2))) (let ((_let_4 (and (not (= tptp.xk tptp.sz00)) (not (= tptp.xk tptp.sz10))))) (let ((_let_5 (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (not (= W0 tptp.sz00)) (not (= W0 tptp.sz10))) (=> (tptp.iLess0 W0 tptp.xk) (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (tptp.doDivides0 W1 W0) (tptp.isPrime0 W1)))))))) (let ((_let_6 (tptp.aNaturalNumber0 tptp.xk))) (let ((_let_7 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.isPrime0 W0) (and (not (= W0 tptp.sz00)) (not (= W0 tptp.sz10)) (forall ((W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (tptp.doDivides0 W1 W0)) (or (= W1 tptp.sz10) (= W1 W0)))))))))) (let ((_let_8 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (tptp.doDivides0 W0 W1) (not (= W1 tptp.sz00))) (tptp.sdtlseqdt0 W0 W1)))))) (let ((_let_9 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.doDivides0 W0 W1) (tptp.doDivides0 W1 W2)) (tptp.doDivides0 W0 W2)))))) (let ((_let_10 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.doDivides0 W0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W1 (tptp.sdtasdt0 W0 W2))))))))) (let ((_let_11 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 W1)) (tptp.sdtlseqdt0 W0 W1)) (tptp.iLess0 W0 W1)))))) (let ((_let_12 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (=> (not (= W0 tptp.sz00)) (forall ((W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (or (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2)) (= (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))) (= W1 W2))))))))) (let ((_let_13 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_14 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_15 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_16 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_17 (tptp.aNaturalNumber0 tptp.sz10))) (let ((_let_18 (and _let_17 (not (= tptp.sz10 tptp.sz00))))) (let ((_let_19 (tptp.aNaturalNumber0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_20 (tptp.doDivides0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 tptp.xk))) (let ((_let_21 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sz00))) (let ((_let_22 (tptp.doDivides0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_21))) (let ((_let_23 (tptp.doDivides0 _let_21 tptp.xk))) (let ((_let_24 (not _let_23))) (let ((_let_25 (not _let_22))) (let ((_let_26 (not _let_6))) (let ((_let_27 (tptp.aNaturalNumber0 _let_21))) (let ((_let_28 (not _let_27))) (let ((_let_29 (not _let_19))) (let ((_let_30 (or _let_29 _let_28 _let_26 _let_25 _let_24 _let_20))) (let ((_let_31 (ASSUME :args (_let_6)))) (let ((_let_32 (tptp.isPrime0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.doDivides0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_29 _let_35 _let_33))) (let ((_let_37 (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (not (tptp.isPrime0 W1)))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (not _let_37))) (let ((_let_40 (tptp.iLess0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.xk))) (let ((_let_41 (not _let_40))) (let ((_let_42 (= tptp.sz10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_43 (= tptp.sz00 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_44 (tptp.aNaturalNumber0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_43 _let_42 _let_41 _let_39))) (let ((_let_47 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= tptp.sz00 W0) (= tptp.sz10 W0) (not (tptp.iLess0 W0 tptp.xk)) (not (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (not (tptp.isPrime0 W1))))))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (tptp.sdtlseqdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.xk))) (let ((_let_50 (not _let_49))) (let ((_let_51 (= tptp.xk SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_52 (or _let_45 _let_26 _let_51 _let_50 _let_40))) (let ((_let_53 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= W0 W1) (not (tptp.sdtlseqdt0 W0 W1)) (tptp.iLess0 W0 W1))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (= tptp.sz00 tptp.xk))) (let ((_let_56 (tptp.doDivides0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.xk))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_45 _let_26 _let_57 _let_55 _let_49))) (let ((_let_59 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W0 W1)) (= tptp.sz00 W1) (tptp.sdtlseqdt0 W0 W1))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (or _let_45 _let_57 _let_42 _let_51))) (let ((_let_62 (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 tptp.xk)) (= tptp.sz10 W1) (= W1 tptp.xk))))) (let ((_let_63 (not _let_61))) (let ((_let_64 (= tptp.sz10 tptp.xk))) (let ((_let_65 (not _let_64))) (let ((_let_66 (not _let_55))) (let ((_let_67 (and _let_66 _let_65 _let_62))) (let ((_let_68 (not _let_62))) (let ((_let_69 (= _let_2 _let_67))) (let ((_let_70 (not _let_67))) (let ((_let_71 (or _let_26 _let_69))) (let ((_let_72 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= (tptp.isPrime0 W0) (and (not (= tptp.sz00 W0)) (not (= tptp.sz10 W0)) (forall ((W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W1)) (not (tptp.doDivides0 W1 W0)) (= tptp.sz10 W1) (= W0 W1))))))))) (let ((_let_73 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (0))) (let ((_let_76 (AND_ELIM _let_74 :args _let_75))) (let ((_let_77 (or))) (let ((_let_78 (_let_68))) (let ((_let_79 (_let_67))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_78)) :args _let_78) (REWRITE :args ((=> _let_68 (not (or _let_45 _let_57 _let_42 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.xk)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_62))) (REFL :args (_let_63)) :args _let_77)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_79) (CONG (REFL :args _let_79) (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_55))) (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))) (REFL :args _let_78) :args _let_77)) :args ((or _let_55 _let_64 _let_67 _let_68))) _let_76 (AND_ELIM _let_74 :args (1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_69)) :args ((or _let_2 _let_70 (not _let_69)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_26 _let_69 (not _let_71)))) _let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.xk QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aNaturalNumber0 W0) false))))) :args (_let_72)))) _let_73 :args (_let_71 false _let_72)) :args (_let_69 false _let_6 false _let_71)) :args (_let_70 true _let_2 false _let_69)) :args (_let_68 true _let_55 true _let_64 true _let_67)) :args (_let_63 true _let_62)))) (let ((_let_81 (REFL :args (_let_61)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 1)) (CONG _let_81 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_77)) :args ((or _let_56 _let_61))) _let_80 :args (_let_56 true _let_61)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 0)) (CONG _let_81 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_77)) :args ((or _let_44 _let_61))) _let_80 :args (_let_44 true _let_61)))) (let ((_let_84 (= tptp.sz00 (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.sz00)))) (let ((_let_85 (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_86 (= _let_85 (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_87 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 tptp.sz00)))) (let ((_let_88 (tptp.sdtasdt0 tptp.xk tptp.sz10))) (let ((_let_89 (= _let_88 (tptp.sdtasdt0 tptp.xk SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_90 (= tptp.xk _let_85))) (let ((_let_91 (= tptp.sz00 (tptp.sdtasdt0 tptp.xk tptp.sz00)))) (let ((_let_92 (= tptp.xk _let_88))) (let ((_let_93 (not _let_43))) (let ((_let_94 (and _let_84 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))))) (let ((_let_95 (tptp.aNaturalNumber0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_96 _let_94))) (let ((_let_98 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= tptp.sz00 (tptp.sdtasdt0 W0 tptp.sz00)) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (_let_98))) (let ((_let_101 ((not (= (tptp.aNaturalNumber0 W0) false))))) (let ((_let_102 (not _let_90))) (let ((_let_103 (or _let_96 _let_102))) (let ((_let_104 (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= tptp.xk (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 W2))))))) (let ((_let_105 (not _let_103))) (let ((_let_106 (not _let_104))) (let ((_let_107 (= _let_56 _let_106))) (let ((_let_108 (or _let_45 _let_26 _let_107))) (let ((_let_109 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= (tptp.doDivides0 W0 W1) (not (forall ((W2 $$unsorted)) (or (not (tptp.aNaturalNumber0 W2)) (not (= W1 (tptp.sdtasdt0 W0 W2))))))))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_111 (_let_106))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_111)) :args _let_111)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_106) _let_104))) (REFL :args (_let_105)) :args _let_77)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_107)) :args ((or _let_57 _let_106 (not _let_107)))) _let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_26 _let_45 _let_107 (not _let_108)))) _let_31 _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.xk QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.doDivides0 W0 W1)))) :args (_let_109))) _let_110 :args (_let_108 false _let_109)) :args (_let_107 false _let_6 false _let_44 false _let_108)) :args (_let_106 false _let_56 false _let_107)) :args (_let_105 true _let_104)))) (let ((_let_113 (REFL :args (_let_103)))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_103 0)) (CONG _let_113 (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_95))) :args _let_77)) :args ((or _let_95 _let_103))) _let_112 :args (_let_95 true _let_103)))) (let ((_let_115 (or _let_96 _let_45 _let_86))) (let ((_let_116 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (and _let_87 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 (tptp.sdtpldt0 tptp.sz00 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))))) (let ((_let_119 (or _let_96 _let_118))) (let ((_let_120 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz00)) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (_let_120))) (let ((_let_123 ((not (= (tptp.aNaturalNumber0 W0) false))))) (let ((_let_124 (tptp.sdtasdt0 tptp.sz10 tptp.xk))) (let ((_let_125 (not _let_89))) (let ((_let_126 (and _let_125 (not (= _let_124 (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.xk)))))) (let ((_let_127 (not _let_17))) (let ((_let_128 (or _let_26 _let_55 _let_127 _let_45 _let_126 _let_42))) (let ((_let_129 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1283 $$unsorted) (BOUND_VARIABLE_1281 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= tptp.sz00 W0) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1281)) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1283)) (and (not (= (tptp.sdtasdt0 W0 BOUND_VARIABLE_1281) (tptp.sdtasdt0 W0 BOUND_VARIABLE_1283))) (not (= (tptp.sdtasdt0 BOUND_VARIABLE_1281 W0) (tptp.sdtasdt0 BOUND_VARIABLE_1283 W0)))) (= BOUND_VARIABLE_1281 BOUND_VARIABLE_1283))))) (let ((_let_130 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_61 2)) _let_80 :args ((not _let_42) true _let_61)))) (let ((_let_132 (and _let_91 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xk))))) (let ((_let_133 (or _let_26 _let_132))) (let ((_let_134 (and _let_92 (= tptp.xk _let_124)))) (let ((_let_135 (or _let_26 _let_134))) (let ((_let_136 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_137 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (and _let_92 _let_91 _let_43 _let_90 _let_87 _let_86 _let_84))) (let ((_let_139 (APPLY_UF tptp.sdtasdt0))) (let ((_let_140 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_141 (ASSUME :args (_let_90)))) (let ((_let_142 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(tptp.sdtpldt0 W0 W2)) (= (tptp.sdtpldt0 W1 W0) (tptp.sdtpldt0 W2 W0))) (= W1 W2)))) _let_12 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.sdtpldt0 W0 W1) tptp.sz00) (and (= W0 tptp.sz00) (= W1 tptp.sz00))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtlseqdt0 W0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= (tptp.sdtpldt0 W0 W2) W1)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtmndt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= (tptp.sdtpldt0 W0 W2) W1))))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (tptp.sdtlseqdt0 W0 W0))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (or (tptp.sdtlseqdt0 W0 W1) (and (not (= W1 W0)) (tptp.sdtlseqdt0 W1 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 W1)) (tptp.sdtlseqdt0 W0 W1)) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (let ((_let_2 (tptp.sdtpldt0 W0 W2))) (let ((_let_3 (tptp.sdtpldt0 W2 W1))) (let ((_let_4 (tptp.sdtpldt0 W2 W0))) (=> (tptp.aNaturalNumber0 W2) (and (not (= _let_4 _let_3)) (tptp.sdtlseqdt0 _let_4 _let_3) (not (= _let_2 _let_1)) (tptp.sdtlseqdt0 _let_2 _let_1))))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W2 W0))) (let ((_let_2 (tptp.sdtasdt0 W1 W0))) (let ((_let_3 (tptp.sdtasdt0 W0 W2))) (let ((_let_4 (tptp.sdtasdt0 W0 W1))) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (not (= W0 tptp.sz00)) (not (= W1 W2)) (tptp.sdtlseqdt0 W1 W2)) (and (not (= _let_4 _let_3)) (tptp.sdtlseqdt0 _let_4 _let_3) (not (= _let_2 _let_1)) (tptp.sdtlseqdt0 _let_2 _let_1))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (or (= W0 tptp.sz00) (= W0 tptp.sz10) (and (not (= tptp.sz10 W0)) (tptp.sdtlseqdt0 tptp.sz10 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (not (= W0 tptp.sz00)) (tptp.sdtlseqdt0 W1 (tptp.sdtasdt0 W1 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.iLess0 W0 W1) true))) _let_11 _let_10 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 tptp.sz00)) (tptp.doDivides0 W0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtsldt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= W1 (tptp.sdtasdt0 W0 W2)))))))) _let_9 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.doDivides0 W0 W1) (tptp.doDivides0 W0 W2)) (tptp.doDivides0 W0 (tptp.sdtpldt0 W1 W2))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.doDivides0 W0 W1) (tptp.doDivides0 W0 (tptp.sdtpldt0 W1 W2))) (tptp.doDivides0 W0 W2)))) _let_8 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 tptp.sz00)) (tptp.doDivides0 W0 W1)) (forall ((W2 $$unsorted)) (=> (tptp.aNaturalNumber0 W2) (= (tptp.sdtasdt0 W2 (tptp.sdtsldt0 W1 W0)) (tptp.sdtsldt0 (tptp.sdtasdt0 W2 W1) W0))))))) _let_7 _let_6 _let_5 _let_4 _let_3 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.59/1.84 )
% 1.59/1.84 % SZS output end Proof for NUM483+1
% 1.59/1.84 % cvc5---1.0.5 exiting
% 1.59/1.84 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------