%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM424+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n022.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 10:43:46 EDT 2023

% Result   : Theorem 33.09s 33.45s
% Output   : Proof 33.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM424+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.11/0.33  % Computer : n022.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri Aug 25 09:21:10 EDT 2023
% 0.11/0.33  % CPUTime    : 
% 0.17/0.45  %----Proving TF0_NAR, FOF, or CNF
% 33.09/33.45  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.XRywsxapo6/cvc5---1.0.5_26924.p...
% 33.09/33.45  ------- get file name : TPTP file name is NUM424+3
% 33.09/33.45  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26924.smt2...
% 33.09/33.45  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 33.09/33.45  --- Run --no-e-matching --full-saturate-quant at 5...
% 33.09/33.45  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 33.09/33.45  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 33.09/33.45  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 33.09/33.45  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 33.09/33.45  % SZS status Theorem for NUM424+3
% 33.09/33.45  % SZS output start Proof for NUM424+3
% 33.09/33.45  (
% 33.09/33.45  (let ((_let_1 (tptp.smndt0 tptp.xa))) (let ((_let_2 (tptp.sdtpldt0 tptp.xb _let_1))) (let ((_let_3 (tptp.smndt0 tptp.xb))) (let ((_let_4 (tptp.sdtpldt0 tptp.xa _let_3))) (let ((_let_5 (not (=> (and (exists ((W0 $$unsorted)) (and (tptp.aInteger0 W0) (= (tptp.sdtasdt0 tptp.xq W0) (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb))))) (tptp.aDivisorOf0 tptp.xq _let_4) (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xq)) (or (exists ((W0 $$unsorted)) (and (tptp.aInteger0 W0) (= (tptp.sdtasdt0 tptp.xq W0) (tptp.sdtpldt0 tptp.xb (tptp.smndt0 tptp.xa))))) (tptp.aDivisorOf0 tptp.xq _let_2) (tptp.sdteqdtlpzmzozddtrp0 tptp.xb tptp.xa tptp.xq)))))) (let ((_let_6 (tptp.aInteger0 tptp.xq))) (let ((_let_7 (tptp.aInteger0 tptp.xb))) (let ((_let_8 (tptp.aInteger0 tptp.xa))) (let ((_let_9 (and _let_8 _let_7 _let_6 (not (= tptp.xq tptp.sz00))))) (let ((_let_10 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 _let_1 W0) _let_2) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))))) (let ((_let_11 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_12 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W2))) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) _let_1)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 _let_1 (tptp.sdtasdt0 W1 W2))))))))) (let ((_let_13 (forall ((W0 $$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 ((_let_14 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 _let_1) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_15 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_16 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 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 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_19 (forall ((W0 $$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.sdtasdt0 tptp.xq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (= _let_4 _let_22))) (let ((_let_24 (= tptp.xb (tptp.sdtpldt0 tptp.xb tptp.sz00)))) (let ((_let_25 (tptp.smndt0 tptp.sz00))) (let ((_let_26 (tptp.sdtpldt0 _let_25 tptp.sz00))) (let ((_let_27 (= tptp.sz00 _let_26))) (let ((_let_28 (tptp.sdtpldt0 tptp.xb _let_3))) (let ((_let_29 (= tptp.sz00 _let_28))) (let ((_let_30 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xb)))) (let ((_let_31 (tptp.smndt0 tptp.sz10))) (let ((_let_32 (tptp.sdtasdt0 _let_31 tptp.sz00))) (let ((_let_33 (= _let_25 _let_32))) (let ((_let_34 (tptp.sdtasdt0 _let_31 tptp.xa))) (let ((_let_35 (= _let_1 _let_34))) (let ((_let_36 (= _let_1 (tptp.sdtasdt0 tptp.xa _let_31)))) (let ((_let_37 (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_31))) (let ((_let_38 (tptp.smndt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_39 (= _let_38 _let_37))) (let ((_let_40 (= _let_2 (tptp.sdtpldt0 _let_1 tptp.xb)))) (let ((_let_41 (tptp.sdtpldt0 tptp.sz00 _let_3))) (let ((_let_42 (= _let_3 _let_41))) (let ((_let_43 (tptp.smndt0 _let_3))) (let ((_let_44 (tptp.sdtpldt0 _let_3 _let_43))) (let ((_let_45 (= tptp.sz00 _let_44))) (let ((_let_46 (tptp.sdtasdt0 _let_31 _let_3))) (let ((_let_47 (= _let_43 _let_46))) (let ((_let_48 (= _let_43 (tptp.sdtasdt0 _let_3 _let_31)))) (let ((_let_49 (tptp.sdtasdt0 _let_31 _let_4))) (let ((_let_50 (tptp.smndt0 _let_4))) (let ((_let_51 (= _let_50 _let_49))) (let ((_let_52 (= _let_50 (tptp.sdtasdt0 _let_4 _let_31)))) (let ((_let_53 (= _let_25 _let_26))) (let ((_let_54 (= _let_2 (tptp.sdtasdt0 tptp.xq _let_38)))) (let ((_let_55 (= (tptp.sdtasdt0 tptp.xq _let_37) (tptp.sdtasdt0 _let_22 _let_31)))) (let ((_let_56 (= _let_49 (tptp.sdtpldt0 _let_34 _let_46)))) (let ((_let_57 (= (tptp.sdtasdt0 _let_31 _let_41) (tptp.sdtpldt0 _let_32 _let_46)))) (let ((_let_58 (= (tptp.sdtpldt0 tptp.xb _let_44) (tptp.sdtpldt0 _let_28 _let_43)))) (let ((_let_59 (not _let_23))) (let ((_let_60 (tptp.aInteger0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_59))) (let ((_let_63 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (= (tptp.sdtasdt0 tptp.xq W0) (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb)))))))) (let ((_let_64 (not _let_62))) (let ((_let_65 (0))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (or))) (let ((_let_68 (not _let_63))) (let ((_let_69 (_let_68))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_69)) :args _let_69) (REWRITE :args ((=> _let_68 (not (or _let_61 (not (= _let_22 _let_4))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_63))) (REFL :args (_let_64)) :args _let_67)) (AND_ELIM (NOT_IMPLIES_ELIM1 _let_66) :args _let_65) :args (_let_64 true _let_63)))) (let ((_let_71 (REFL :args (_let_62)))) (let ((_let_72 (and _let_24 (= tptp.xb (tptp.sdtpldt0 tptp.sz00 tptp.xb))))) (let ((_let_73 (not _let_7))) (let ((_let_74 (or _let_73 _let_72))) (let ((_let_75 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz00)) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (_let_75))) (let ((_let_78 ((not (= (tptp.aInteger0 W0) false))))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (AND_ELIM _let_79 :args (1)))) (let ((_let_81 (tptp.sdtpldt0 tptp.sz00 _let_25))) (let ((_let_82 (and (= tptp.sz00 _let_81) _let_27))) (let ((_let_83 (not _let_21))) (let ((_let_84 (or _let_83 _let_82))) (let ((_let_85 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (or (not (tptp.aInteger0 W0)) (and (= tptp.sz00 (tptp.sdtpldt0 W0 _let_1)) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (_let_85))) (let ((_let_88 ((not (= (tptp.aInteger0 W0) false))))) (let ((_let_89 (ASSUME :args (_let_21)))) (let ((_let_90 (and _let_29 (= tptp.sz00 (tptp.sdtpldt0 _let_3 tptp.xb))))) (let ((_let_91 (or _let_73 _let_90))) (let ((_let_92 (and (= tptp.sz00 (tptp.sdtasdt0 tptp.xb tptp.sz00)) _let_30))) (let ((_let_93 (or _let_73 _let_92))) (let ((_let_94 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (and (= tptp.sz00 (tptp.sdtasdt0 W0 tptp.sz00)) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (and _let_33 (= _let_25 (tptp.sdtasdt0 tptp.sz00 _let_31))))) (let ((_let_97 (or _let_83 _let_96))) (let ((_let_98 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (or (not (tptp.aInteger0 W0)) (and (= _let_2 (tptp.sdtasdt0 _let_1 W0)) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (_let_98))) (let ((_let_101 ((not (= (tptp.aInteger0 W0) false))))) (let ((_let_102 (and _let_35 _let_36))) (let ((_let_103 (not _let_8))) (let ((_let_104 (or _let_103 _let_102))) (let ((_let_105 (AND_ELIM _let_79 :args _let_65))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_103 _let_102 (not _let_104)))) _let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.xa QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_104 false _let_98)) :args (_let_102 false _let_8 false _let_104)))) (let ((_let_107 (not _let_102))) (let ((_let_108 (and (= _let_38 (tptp.sdtasdt0 _let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_39))) (let ((_let_109 (or _let_61 _let_108))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 0)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_67)) :args ((or _let_60 _let_62))) _let_70 :args (_let_60 true _let_62)))) (let ((_let_111 (tptp.aInteger0 _let_1))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_73 _let_112 _let_40))) (let ((_let_114 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_115 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_116 (or _let_103 _let_111))) (let ((_let_117 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (_let_117))) (let ((_let_120 (and (= _let_3 (tptp.sdtpldt0 _let_3 tptp.sz00)) _let_42))) (let ((_let_121 (tptp.aInteger0 _let_3))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_122 _let_120))) (let ((_let_124 (or _let_73 _let_121))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_73 _let_121 (not _let_124)))) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.xb QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_119)) _let_118 :args (_let_124 false _let_117)) :args (_let_121 false _let_7 false _let_124)))) (let ((_let_126 (and _let_45 (= tptp.sz00 (tptp.sdtpldt0 _let_43 _let_3))))) (let ((_let_127 (or _let_122 _let_126))) (let ((_let_128 (and _let_47 _let_48))) (let ((_let_129 (or _let_122 _let_128))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_122 _let_128 (not _let_129)))) _let_125 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_129 false _let_98)) :args (_let_128 false _let_121 false _let_129)))) (let ((_let_131 (not _let_128))) (let ((_let_132 (and _let_51 _let_52))) (let ((_let_133 (tptp.aInteger0 _let_4))) (let ((_let_134 (not _let_133))) (let ((_let_135 (or _let_134 _let_132))) (let ((_let_136 (or _let_103 _let_122 _let_133))) (let ((_let_137 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_138 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_134 _let_132 (not _let_135)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_136)) :args ((or _let_103 _let_122 _let_133 (not _let_136)))) _let_105 _let_125 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (tptp.xa _let_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_137))) _let_138 :args (_let_136 false _let_137)) :args (_let_133 false _let_8 false _let_121 false _let_136)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_135 false _let_98)) :args (_let_132 false _let_133 false _let_135)))) (let ((_let_140 (not _let_132))) (let ((_let_141 (and _let_53 (= _let_25 _let_81)))) (let ((_let_142 (tptp.aInteger0 _let_25))) (let ((_let_143 (not _let_142))) (let ((_let_144 (or _let_143 _let_141))) (let ((_let_145 (or _let_83 _let_142))) (let ((_let_146 (not _let_54))) (let ((_let_147 (tptp.aInteger0 _let_38))) (let ((_let_148 (not _let_147))) (let ((_let_149 (or _let_148 _let_146))) (let ((_let_150 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (= (tptp.sdtasdt0 tptp.xq W0) (tptp.sdtpldt0 tptp.xb (tptp.smndt0 tptp.xa)))))))) (let ((_let_151 (_let_150))) (let ((_let_152 (or _let_61 _let_147))) (let ((_let_153 (tptp.aInteger0 _let_31))) (let ((_let_154 (not _let_153))) (let ((_let_155 (not _let_6))) (let ((_let_156 (or _let_155 _let_61 _let_154 _let_55))) (let ((_let_157 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (tptp.aInteger0 W2)) (= (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2)) (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))))) (let ((_let_158 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_159 (not _let_20))) (let ((_let_160 (or _let_159 _let_153))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_160)) :args ((or _let_159 _let_153 (not _let_160)))) (ASSUME :args (_let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.sz10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_119)) _let_118 :args (_let_160 false _let_117)) :args (_let_153 false _let_20 false _let_160)))) (let ((_let_162 (and _let_56 (= (tptp.sdtasdt0 (tptp.sdtpldt0 _let_31 tptp.xa) _let_3) (tptp.sdtpldt0 _let_46 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_let_75)) :args (_let_120 false _let_121 false _let_123)) :args (_let_42 false _let_120)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_73 _let_112 _let_40 (not _let_113)))) _let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_103 _let_111 (not _let_116)))) _let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.xa QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_119)) _let_118 :args (_let_116 false _let_117)) :args (_let_111 false _let_8 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (tptp.xb _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtpldt0 W0 W1)))) :args (_let_114))) _let_115 :args (_let_113 false _let_114)) :args (_let_40 false _let_7 false _let_111 false _let_113)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_108 1)) :args ((or _let_39 (not _let_108)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_61 _let_108 (not _let_109)))) _let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_109 false _let_98)) :args (_let_108 false _let_60 false _let_109)) :args (_let_39 false _let_108)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_102 1)) :args ((or _let_36 _let_107))) _let_106 :args (_let_36 false _let_102)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_102 0)) :args ((or _let_35 _let_107))) _let_106 :args (_let_35 false _let_102)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_96 0)) :args ((or _let_33 (not _let_96)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_83 _let_96 (not _let_97)))) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.sz00 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_100)) _let_99 :args (_let_97 false _let_98)) :args (_let_96 false _let_21 false _let_97)) :args (_let_33 false _let_96)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_92 1)) :args ((or _let_30 (not _let_92)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_73 _let_92 (not _let_93)))) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.xb QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aInteger0 W0) false))))) :args (_let_94))) _let_95 :args (_let_93 false _let_94)) :args (_let_92 false _let_7 false _let_93)) :args (_let_30 false _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_90 0)) :args ((or _let_29 (not _let_90)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_73 _let_90 (not _let_91)))) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.xb QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_87)) _let_86 :args (_let_91 false _let_85)) :args (_let_90 false _let_7 false _let_91)) :args (_let_29 false _let_90)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_82 1)) :args ((or _let_27 (not _let_82)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_83 _let_82 (not _let_84)))) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.sz00 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_87)) _let_86 :args (_let_84 false _let_85)) :args (_let_82 false _let_21 false _let_84)) :args (_let_27 false _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_72 0)) :args ((or _let_24 (not _let_72)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_73 _let_72 (not _let_74)))) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.xb QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_74 false _let_75)) :args (_let_72 false _let_7 false _let_74)) :args (_let_24 false _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 1)) (CONG _let_71 (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_23))) :args _let_67)) :args ((or _let_23 _let_62))) _let_70 :args (_let_23 true _let_62)) :args (false false _let_58 false _let_57 false _let_56 false _let_55 true _let_54 false _let_53 false _let_52 false _let_51 false _let_48 false _let_47 false _let_45 false _let_42 false _let_40 false _let_39 false _let_36 false _let_35 false _let_33 false _let_30 false _let_29 false _let_27 false _let_24 false _let_23)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) true)) _let_21 _let_20 _let_19 _let_18 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtasdt0 W0 W1)))) _let_17 _let_16 _let_15 _let_14 _let_13 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))) (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) _let_12 _let_11 _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))))) (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (forall ((W1 $$unsorted)) (= (tptp.aDivisorOf0 W1 W0) (and (tptp.aInteger0 W1) (not (= W1 tptp.sz00)) (exists ((W2 $$unsorted)) (and (tptp.aInteger0 W2) (= (tptp.sdtasdt0 W1 W2) W0)))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2) (not (= W2 tptp.sz00))) (= (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.aDivisorOf0 W2 (tptp.sdtpldt0 W0 (tptp.smndt0 W1)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (not (= W1 tptp.sz00))) (tptp.sdteqdtlpzmzozddtrp0 W0 W0 W1))) _let_9 _let_5 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 33.09/33.46  )
% 33.09/33.46  % SZS output end Proof for NUM424+3
% 33.09/33.46  % cvc5---1.0.5 exiting
% 33.09/33.46  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------