TSTP Solution File: NUM471+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM471+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 10:44:14 EDT 2023
% Result : Theorem 217.94s 218.33s
% Output : Proof 218.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM471+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 08:22:02 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 217.94/218.33 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.4Lp05Nvcth/cvc5---1.0.5_3566.p...
% 217.94/218.33 ------- get file name : TPTP file name is NUM471+2
% 217.94/218.33 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3566.smt2...
% 217.94/218.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 217.94/218.33 --- Run --no-e-matching --full-saturate-quant at 5...
% 217.94/218.33 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 217.94/218.33 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 217.94/218.33 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 217.94/218.33 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 217.94/218.33 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 217.94/218.33 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 217.94/218.33 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 217.94/218.33 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 217.94/218.33 --- Run --relevant-triggers --full-saturate-quant at 5...
% 217.94/218.33 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 217.94/218.33 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 217.94/218.33 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 217.94/218.33 --- Run --no-cbqi --full-saturate-quant at 10...
% 217.94/218.33 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 217.94/218.33 % SZS status Theorem for NUM471+2
% 217.94/218.33 % SZS output start Proof for NUM471+2
% 217.94/218.33 (
% 217.94/218.33 (let ((_let_1 (tptp.sdtlseqdt0 tptp.xp tptp.xq))) (let ((_let_2 (not (or (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (= (tptp.sdtpldt0 tptp.xp W0) tptp.xq))) _let_1)))) (let ((_let_3 (tptp.sdtpldt0 tptp.xm tptp.xn))) (let ((_let_4 (= tptp.xq (tptp.sdtsldt0 _let_3 tptp.xl)))) (let ((_let_5 (and (tptp.aNaturalNumber0 tptp.xq) (= _let_3 (tptp.sdtasdt0 tptp.xl tptp.xq)) _let_4))) (let ((_let_6 (tptp.sdtasdt0 tptp.xl tptp.xp))) (let ((_let_7 (tptp.aNaturalNumber0 tptp.xp))) (let ((_let_8 (and _let_7 (= tptp.xm _let_6) (= tptp.xp (tptp.sdtsldt0 tptp.xm tptp.xl))))) (let ((_let_9 (not (= tptp.xl tptp.sz00)))) (let ((_let_10 (tptp.doDivides0 tptp.xl _let_3))) (let ((_let_11 (tptp.doDivides0 tptp.xl tptp.xm))) (let ((_let_12 (and (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (= tptp.xm (tptp.sdtasdt0 tptp.xl W0)))) _let_11 (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (= (tptp.sdtpldt0 tptp.xm tptp.xn) (tptp.sdtasdt0 tptp.xl W0)))) _let_10))) (let ((_let_13 (tptp.aNaturalNumber0 tptp.xn))) (let ((_let_14 (tptp.aNaturalNumber0 tptp.xl))) (let ((_let_15 (and _let_14 (tptp.aNaturalNumber0 tptp.xm) _let_13))) (let ((_let_16 (forall ((W0 $$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))))))))))) (let ((_let_17 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 W1)) (tptp.sdtlseqdt0 W0 W1)) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (let ((_let_2 (tptp.sdtpldt0 W0 W2))) (let ((_let_3 (tptp.sdtpldt0 W2 W1))) (let ((_let_4 (tptp.sdtpldt0 W2 W0))) (=> (tptp.aNaturalNumber0 W2) (and (not (= _let_4 _let_3)) (tptp.sdtlseqdt0 _let_4 _let_3) (not (= _let_2 _let_1)) (tptp.sdtlseqdt0 _let_2 _let_1))))))))))))) (let ((_let_18 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (or (tptp.sdtlseqdt0 W0 W1) (and (not (= W1 W0)) (tptp.sdtlseqdt0 W1 W0))))))) (let ((_let_19 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))))) (let ((_let_20 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (tptp.sdtlseqdt0 W0 W0))))) (let ((_let_21 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtlseqdt0 W0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= (tptp.sdtpldt0 W0 W2) W1)))))))) (let ((_let_22 (forall ((W0 $$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_23 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_24 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_25 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_26 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_27 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_28 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_29 (tptp.aNaturalNumber0 tptp.sz10))) (let ((_let_30 (and _let_29 (not (= tptp.sz10 tptp.sz00))))) (let ((_let_31 (tptp.aNaturalNumber0 tptp.sz00))) (let ((_let_32 (tptp.aNaturalNumber0 _let_6))) (let ((_let_33 (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.xl))) (let ((_let_34 (tptp.aNaturalNumber0 _let_33))) (let ((_let_35 (= _let_6 _let_33))) (let ((_let_36 (tptp.sdtlseqdt0 _let_33 _let_6))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.sdtlseqdt0 _let_6 _let_33))) (let ((_let_39 (not _let_38))) (let ((_let_40 (not _let_34))) (let ((_let_41 (not _let_32))) (let ((_let_42 (or _let_41 _let_40 _let_39 _let_37 _let_35))) (let ((_let_43 (1))) (let ((_let_44 (ASSUME :args (_let_8)))) (let ((_let_45 (AND_ELIM _let_44 :args _let_43))) (let ((_let_46 (2))) (let ((_let_47 (ASSUME :args (_let_5)))) (let ((_let_48 (AND_INTRO (EQ_RESOLVE (AND_ELIM _let_47 :args _let_46) (MACRO_SR_EQ_INTRO _let_45 :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) _let_45))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO _let_48 :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (AND_ELIM _let_49 :args _let_43))) (let ((_let_51 (not _let_14))) (let ((_let_52 (tptp.aNaturalNumber0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51 _let_34))) (let ((_let_55 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (tptp.sdtasdt0 tptp.xl SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_58 (tptp.sdtpldt0 _let_6 tptp.xn))) (let ((_let_59 (= _let_58 _let_57))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_53 _let_60))) (let ((_let_62 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (= (tptp.sdtasdt0 tptp.xl W0) (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xl tptp.xp) tptp.xn))))))) (let ((_let_63 (not _let_61))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_12)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_48 :args ((and (not (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (= tptp.xm (tptp.sdtasdt0 tptp.xl W0)))))) _let_11 (not (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (= (tptp.sdtpldt0 tptp.xm tptp.xn) (tptp.sdtasdt0 tptp.xl W0)))))) _let_10) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_65 (or))) (let ((_let_66 (not _let_62))) (let ((_let_67 (_let_66))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_67)) :args _let_67) (REWRITE :args ((=> _let_66 (not (or _let_53 (not (= _let_57 _let_58))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_62))) (REFL :args (_let_63)) :args _let_65)) (AND_ELIM _let_64 :args _let_46) :args (_let_63 true _let_62)))) (let ((_let_69 (REFL :args (_let_61)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 0)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_52))) :args _let_65)) :args ((or _let_52 _let_61))) _let_68 :args (_let_52 true _let_61)))) (let ((_let_71 (0))) (let ((_let_72 (AND_ELIM _let_49 :args _let_71))) (let ((_let_73 (tptp.sdtsldt0 _let_58 tptp.xl))) (let ((_let_74 (tptp.sdtasdt0 _let_73 tptp.xl))) (let ((_let_75 (tptp.sdtasdt0 tptp.xl _let_73))) (let ((_let_76 (= _let_75 _let_74))) (let ((_let_77 (= _let_73 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_78 (= _let_6 _let_75))) (let ((_let_79 (not _let_35))) (let ((_let_80 (tptp.aNaturalNumber0 _let_73))) (let ((_let_81 (not _let_80))) (let ((_let_82 (or _let_51 _let_81 _let_76))) (let ((_let_83 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_84 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_85 (_let_83))) (let ((_let_86 (EQ_RESOLVE _let_47 (MACRO_SR_EQ_INTRO _let_48 :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (AND_ELIM _let_86 :args _let_71))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_51 _let_81 _let_76 (not _let_82)))) _let_72 _let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.xl _let_73 QUANTIFIERS_INST_CBQI_PROP)) :args _let_85)) _let_84 :args (_let_82 false _let_83)) :args (_let_76 false _let_14 false _let_80 false _let_82)))) (let ((_let_89 (= _let_75 _let_57))) (let ((_let_90 (not _let_89))) (let ((_let_91 (and _let_90 (not (= _let_74 _let_33))))) (let ((_let_92 (= tptp.sz00 tptp.xl))) (let ((_let_93 (or _let_51 _let_92 _let_81 _let_53 _let_91 _let_77))) (let ((_let_94 (forall ((W0 $$unsorted) (BOUND_VARIABLE_1222 $$unsorted) (BOUND_VARIABLE_1220 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (= tptp.sz00 W0) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1220)) (not (tptp.aNaturalNumber0 BOUND_VARIABLE_1222)) (and (not (= (tptp.sdtasdt0 W0 BOUND_VARIABLE_1220) (tptp.sdtasdt0 W0 BOUND_VARIABLE_1222))) (not (= (tptp.sdtasdt0 BOUND_VARIABLE_1220 W0) (tptp.sdtasdt0 BOUND_VARIABLE_1222 W0)))) (= BOUND_VARIABLE_1220 BOUND_VARIABLE_1222))))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (_let_94))) (let ((_let_97 (not _let_91))) (let ((_let_98 (= _let_58 _let_75))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_61 1)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_59))) :args _let_65)) :args ((or _let_59 _let_61))) _let_68 :args (_let_59 true _let_61)))) (let ((_let_100 (AND_ELIM _let_86 :args _let_43))) (let ((_let_101 (and _let_98 _let_59))) (let ((_let_102 (ASSUME :args (_let_59)))) (let ((_let_103 (SYMM _let_102))) (let ((_let_104 (SYMM _let_103))) (let ((_let_105 (ASSUME :args (_let_98)))) (let ((_let_106 (SYMM _let_105))) (let ((_let_107 (SYMM (ASSUME :args (_let_9))))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_92 _let_51 _let_81 _let_53 _let_91 _let_77 (not _let_93)))) _let_107 _let_72 _let_87 _let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_91 0)) :args ((or _let_90 _let_97))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_101)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_102 _let_105) (SCOPE (TRANS _let_106 _let_104) :args (_let_59 _let_98))) :args (_let_98 _let_59))) :args (true _let_101)) _let_100 _let_99 :args (_let_89 false _let_98 false _let_59)) :args (_let_97 false _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.xl SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_73 QUANTIFIERS_INST_CBQI_PROP)) :args _let_96)) _let_95 :args (_let_93 false _let_94)) :args (_let_77 true _let_92 false _let_14 false _let_80 false _let_52 true _let_91 false _let_93)))) (let ((_let_109 (= tptp.xp (tptp.sdtsldt0 _let_6 tptp.xl)))) (let ((_let_110 (tptp.sdtlseqdt0 tptp.xp _let_73))) (let ((_let_111 (tptp.sdtlseqdt0 tptp.xp tptp.xp))) (let ((_let_112 (not _let_78))) (let ((_let_113 (EQ_RESOLVE _let_44 (MACRO_SR_EQ_INTRO _let_48 :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_48 :args ((not (or (not (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (= tptp.xq (tptp.sdtpldt0 tptp.xp W0)))))) _let_1)) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_115 (NOT_OR_ELIM _let_114 :args _let_43))) (let ((_let_116 (not _let_7))) (let ((_let_117 (or _let_116 _let_111))) (let ((_let_118 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (tptp.sdtlseqdt0 W0 W0))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (AND_ELIM _let_113 :args _let_71))) (let ((_let_121 (not _let_111))) (let ((_let_122 (not _let_98))) (let ((_let_123 (not _let_109))) (let ((_let_124 (_let_112))) (let ((_let_125 (REFL :args (_let_122)))) (let ((_let_126 (not _let_110))) (let ((_let_127 (ASSUME :args (_let_111)))) (let ((_let_128 (APPLY_UF tptp.sdtlseqdt0))) (let ((_let_129 (ASSUME :args (_let_109)))) (let ((_let_130 (REFL :args (tptp.xl)))) (let ((_let_131 (ASSUME :args (_let_78)))) (let ((_let_132 (SYMM _let_106))) (let ((_let_133 (ASSUME :args (_let_126)))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_127 _let_129 _let_131 _let_105 _let_133) :args (_let_109 _let_126 _let_98 _let_78 _let_111)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_133)) (CONG (REFL :args (tptp.xp)) (TRANS (CONG (TRANS _let_132 (SYMM _let_131)) _let_130 :args (APPLY_UF tptp.sdtsldt0)) (SYMM _let_129)) :args _let_128) (TRUE_INTRO _let_127))) :args (_let_111 _let_109 _let_78 _let_98 _let_126)) :args ((not (and _let_109 _let_126 _let_98 _let_78 _let_111)) SB_LITERAL))) (CONG (REFL :args (_let_123)) (MACRO_SR_PRED_INTRO :args ((= (not _let_126) _let_110))) _let_125 (REFL :args _let_124) (REFL :args (_let_121)) :args _let_65)) :args ((or _let_110 _let_123 _let_122 _let_112 _let_121))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_116 _let_111 (not _let_117)))) _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.xp QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_118))) _let_119 :args (_let_117 false _let_118)) :args (_let_111 false _let_7 false _let_117)) 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(REORDERING (CNF_OR_POS :args (_let_199)) :args ((or _let_116 _let_198 (not _let_199)))) _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_201 :args (tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_203)) :args _let_202)) _let_201 :args (_let_199 false _let_200)) :args (_let_198 false _let_7 false _let_199)) :args (_let_195 false _let_198)) :args (_let_197 false _let_155 true _let_196 false _let_195)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_189)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_190 _let_191) (SCOPE (TRUE_ELIM (TRANS (CONG _let_193 _let_192 :args _let_128) (TRUE_INTRO _let_190))) :args (_let_169 _let_155))) :args (_let_155 _let_169))) :args (true _let_189)) _let_188 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_171)) :args ((or _let_116 _let_81 _let_169 _let_170 (not _let_171)))) _let_120 _let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_170 1)) :args ((or _let_110 _let_174))) _let_115 :args (_let_174 true _let_110)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_173 :args (_let_73 tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtlseqdt0 W1 W0)))) :args (_let_172)))) _let_173 :args (_let_171 false _let_172)) :args (_let_169 false _let_7 false _let_80 true _let_170 false _let_171)) :args (_let_159 false _let_155 false _let_169)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.xl _let_73 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_168)) :args _let_167))) _let_166 :args (_let_164 false _let_165)) :args (_let_158 true _let_92 false _let_14 false _let_80 false _let_162 true _let_161 false _let_159 false _let_164)) :args (_let_152 false _let_158)) :args (_let_36 false _let_156 false _let_155 false _let_77 false _let_154 false _let_76 false _let_152)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 :args (_let_6 _let_33 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:args (_let_54 false _let_55)) :args (_let_34 false _let_14 false _let_52 false _let_54)) _let_50 :args (false false _let_38 false _let_36 false _let_42 true _let_35 false _let_34 false _let_32)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)) _let_31 _let_30 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))) _let_28 _let_27 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))) _let_26 _let_25 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))) _let_24 _let_23 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (and (= (tptp.sdtasdt0 W0 _let_1) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 _let_1 W0) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (or (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W0 W2)) (= (tptp.sdtpldt0 W1 W0) (tptp.sdtpldt0 W2 W0))) (= W1 W2)))) _let_22 (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))))) _let_21 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtmndt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= (tptp.sdtpldt0 W0 W2) W1))))))) _let_20 _let_19 (forall ((W0 $$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)))) _let_18 _let_17 _let_16 (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 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.iLess0 W0 W1) true))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 W1)) (tptp.sdtlseqdt0 W0 W1)) (tptp.iLess0 W0 W1)))) (forall ((W0 $$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))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 tptp.sz00)) (tptp.doDivides0 W0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtsldt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= W1 (tptp.sdtasdt0 W0 W2)))))))) (forall ((W0 $$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)))) (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))))) _let_15 _let_12 _let_9 _let_8 _let_5 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 218.02/218.35 )
% 218.02/218.35 % SZS output end Proof for NUM471+2
% 218.02/218.35 % cvc5---1.0.5 exiting
% 218.02/218.35 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------