%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM428+3 : 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 10:43:49 EDT 2023

% Result   : Theorem 83.37s 83.56s
% Output   : Proof 83.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : NUM428+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n008.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri Aug 25 17:51:47 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 83.37/83.56  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.9RgynebJIn/cvc5---1.0.5_7584.p...
% 83.37/83.56  ------- get file name : TPTP file name is NUM428+3
% 83.37/83.56  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7584.smt2...
% 83.37/83.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 83.37/83.56  --- Run --no-e-matching --full-saturate-quant at 5...
% 83.37/83.56  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 83.37/83.56  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 83.37/83.56  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 83.37/83.56  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 83.37/83.56  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 83.37/83.56  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 83.37/83.56  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 83.37/83.56  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 83.37/83.56  --- Run --relevant-triggers --full-saturate-quant at 5...
% 83.37/83.56  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 83.37/83.56  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 83.37/83.56  --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 83.37/83.56  % SZS status Theorem for NUM428+3
% 83.37/83.56  % SZS output start Proof for NUM428+3
% 83.37/83.56  (
% 83.37/83.56  (let ((_let_1 (tptp.smndt0 tptp.xc))) (let ((_let_2 (tptp.sdtpldt0 tptp.xa _let_1))) (let ((_let_3 (tptp.sdtpldt0 tptp.xb _let_1))) (let ((_let_4 (tptp.smndt0 tptp.xb))) (let ((_let_5 (tptp.sdtpldt0 tptp.xa _let_4))) (let ((_let_6 (not (=> (and (exists ((W0 $$unsorted)) (and (tptp.aInteger0 W0) (= (tptp.sdtasdt0 tptp.xq W0) (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb))))) (tptp.aDivisorOf0 tptp.xq _let_5) (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xq) (exists ((W0 $$unsorted)) (and (tptp.aInteger0 W0) (= (tptp.sdtasdt0 tptp.xq W0) (tptp.sdtpldt0 tptp.xb (tptp.smndt0 tptp.xc))))) (tptp.aDivisorOf0 tptp.xq _let_3) (tptp.sdteqdtlpzmzozddtrp0 tptp.xb tptp.xc tptp.xq)) (or (exists ((W0 $$unsorted)) (and (tptp.aInteger0 W0) (= (tptp.sdtasdt0 tptp.xq W0) (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xc))))) (tptp.aDivisorOf0 tptp.xq _let_2) (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xc tptp.xq)))))) (let ((_let_7 (tptp.aInteger0 tptp.xc))) (let ((_let_8 (tptp.aInteger0 tptp.xq))) (let ((_let_9 (tptp.aInteger0 tptp.xb))) (let ((_let_10 (tptp.aInteger0 tptp.xa))) (let ((_let_11 (and _let_10 _let_9 _let_8 (not (= tptp.xq tptp.sz00)) _let_7))) (let ((_let_12 (forall ((W0 $$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_13 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_14 (forall ((W0 $$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_15 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_16 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (= (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2)) (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))))) (let ((_let_17 (forall ((W0 $$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_18 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_19 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))))) (let ((_let_20 (forall ((W0 $$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_21 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_22 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_23 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_24 (tptp.aInteger0 tptp.sz10))) (let ((_let_25 (tptp.aInteger0 tptp.sz00))) (let ((_let_26 (tptp.sdtasdt0 tptp.xq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (= _let_5 _let_26))) (let ((_let_28 (tptp.sdtasdt0 tptp.xq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_29 (= _let_3 _let_28))) (let ((_let_30 (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xq))) (let ((_let_31 (= _let_26 _let_30))) (let ((_let_32 (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.xq))) (let ((_let_33 (= _let_28 _let_32))) (let ((_let_34 (= tptp.xc (tptp.sdtpldt0 tptp.xc tptp.sz00)))) (let ((_let_35 (tptp.smndt0 tptp.sz00))) (let ((_let_36 (tptp.sdtpldt0 _let_35 tptp.sz00))) (let ((_let_37 (= tptp.sz00 _let_36))) (let ((_let_38 (tptp.sdtpldt0 tptp.xc _let_1))) (let ((_let_39 (= tptp.sz00 _let_38))) (let ((_let_40 (tptp.sdtpldt0 _let_1 tptp.xc))) (let ((_let_41 (= tptp.sz00 _let_40))) (let ((_let_42 (tptp.smndt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_43 (tptp.sdtpldt0 _let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_44 (= tptp.sz00 _let_43))) (let ((_let_45 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xq)))) (let ((_let_46 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xc)))) (let ((_let_47 (tptp.smndt0 tptp.sz10))) (let ((_let_48 (= _let_35 (tptp.sdtasdt0 _let_47 tptp.sz00)))) (let ((_let_49 (tptp.sdtasdt0 tptp.sz00 _let_47))) (let ((_let_50 (= _let_35 _let_49))) (let ((_let_51 (tptp.sdtasdt0 _let_47 tptp.xb))) (let ((_let_52 (= _let_4 _let_51))) (let ((_let_53 (= _let_4 (tptp.sdtasdt0 tptp.xb _let_47)))) (let ((_let_54 (= _let_1 (tptp.sdtasdt0 _let_47 tptp.xc)))) (let ((_let_55 (tptp.sdtasdt0 tptp.xc _let_47))) (let ((_let_56 (= _let_1 _let_55))) (let ((_let_57 (tptp.sdtasdt0 _let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_58 (= _let_42 _let_57))) (let ((_let_59 (= _let_1 (tptp.sdtpldt0 tptp.sz00 _let_1)))) (let ((_let_60 (= _let_4 (tptp.sdtpldt0 tptp.sz00 _let_4)))) (let ((_let_61 (= _let_2 (tptp.sdtpldt0 _let_2 tptp.sz00)))) (let ((_let_62 (tptp.smndt0 _let_1))) (let ((_let_63 (tptp.sdtpldt0 _let_1 _let_62))) (let ((_let_64 (= tptp.sz00 _let_63))) (let ((_let_65 (tptp.sdtasdt0 _let_47 _let_1))) (let ((_let_66 (= _let_62 _let_65))) (let ((_let_67 (= _let_62 (tptp.sdtasdt0 _let_1 _let_47)))) (let ((_let_68 (tptp.sdtasdt0 _let_47 _let_3))) (let ((_let_69 (tptp.smndt0 _let_3))) (let ((_let_70 (= _let_69 _let_68))) (let ((_let_71 (= _let_35 _let_36))) (let ((_let_72 (tptp.sdtasdt0 _let_42 tptp.xq))) (let ((_let_73 (tptp.sdtpldt0 _let_72 _let_32))) (let ((_let_74 (= (tptp.sdtasdt0 _let_43 tptp.xq) _let_73))) (let ((_let_75 (= (tptp.sdtasdt0 _let_47 _let_32) (tptp.sdtasdt0 _let_57 tptp.xq)))) (let ((_let_76 (tptp.sdtpldt0 tptp.xc _let_4))) (let ((_let_77 (= _let_76 (tptp.sdtpldt0 _let_4 tptp.xc)))) (let ((_let_78 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_79 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_80 (= _let_79 _let_78))) (let ((_let_81 (= _let_68 (tptp.sdtpldt0 _let_51 _let_65)))) (let ((_let_82 (tptp.sdtasdt0 _let_47 _let_55))) (let ((_let_83 (= (tptp.sdtasdt0 _let_47 (tptp.sdtpldt0 _let_49 _let_55)) (tptp.sdtpldt0 (tptp.sdtasdt0 _let_47 _let_49) _let_82)))) (let ((_let_84 (tptp.sdtasdt0 tptp.xq _let_79))) (let ((_let_85 (= _let_84 (tptp.sdtasdt0 _let_79 tptp.xq)))) (let ((_let_86 (= (tptp.sdtpldt0 tptp.xc _let_63) (tptp.sdtpldt0 _let_38 _let_62)))) (let ((_let_87 (= _let_2 _let_84))) (let ((_let_88 (= (tptp.sdtpldt0 _let_1 _let_76) (tptp.sdtpldt0 _let_40 _let_4)))) (let ((_let_89 (= (tptp.sdtpldt0 tptp.xa (tptp.sdtpldt0 _let_1 _let_69)) (tptp.sdtpldt0 _let_2 _let_69)))) (let ((_let_90 (= (tptp.sdtasdt0 _let_78 tptp.xq) (tptp.sdtpldt0 _let_30 _let_32)))) (let ((_let_91 (= (tptp.sdtpldt0 _let_2 _let_73) (tptp.sdtpldt0 (tptp.sdtpldt0 _let_2 _let_72) _let_32)))) (let ((_let_92 (not _let_27))) (let ((_let_93 (tptp.aInteger0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_94 (not _let_93))) (let ((_let_95 (or _let_94 _let_92))) (let ((_let_96 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (= (tptp.sdtasdt0 tptp.xq W0) (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb)))))))) (let ((_let_97 (not _let_95))) (let ((_let_98 (0))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (NOT_IMPLIES_ELIM1 _let_99))) (let ((_let_101 (or))) (let ((_let_102 (not _let_96))) (let ((_let_103 (_let_102))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_103)) :args _let_103) (REWRITE :args ((=> _let_102 (not (or _let_94 (not (= _let_26 _let_5))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_102) _let_96))) (REFL :args (_let_97)) :args _let_101)) (AND_ELIM _let_100 :args _let_98) :args (_let_97 true _let_96)))) (let ((_let_105 (REFL :args (_let_95)))) (let ((_let_106 (not _let_29))) (let ((_let_107 (tptp.aInteger0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_108 _let_106))) (let ((_let_110 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (= (tptp.sdtasdt0 tptp.xq W0) (tptp.sdtpldt0 tptp.xb (tptp.smndt0 tptp.xc)))))))) (let ((_let_111 (not _let_109))) (let ((_let_112 (not _let_110))) (let ((_let_113 (_let_112))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_113)) :args _let_113) (REWRITE :args ((=> _let_112 (not (or _let_108 (not (= _let_28 _let_3))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_112) _let_110))) (REFL :args (_let_111)) :args _let_101)) (AND_ELIM _let_100 :args (3)) :args (_let_111 true _let_110)))) (let ((_let_115 (REFL :args (_let_109)))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_109 1)) (CONG _let_115 (MACRO_SR_PRED_INTRO :args ((= (not _let_106) _let_29))) :args _let_101)) :args ((or _let_29 _let_109))) _let_114 :args (_let_29 true _let_109)))) (let ((_let_117 (not _let_8))) (let ((_let_118 (or _let_117 _let_94 _let_31))) (let ((_let_119 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_120 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_121 (_let_119))) (let ((_let_122 ((tptp.sdtasdt0 W0 W1)))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_95 0)) (CONG _let_105 (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_93))) :args _let_101)) :args ((or _let_93 _let_95))) _let_104 :args (_let_93 true _let_95)))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (AND_ELIM _let_124 :args (2)))) (let ((_let_126 (or _let_117 _let_108 _let_33))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_109 0)) (CONG _let_115 (MACRO_SR_PRED_INTRO :args ((= (not _let_108) _let_107))) :args _let_101)) :args ((or _let_107 _let_109))) _let_114 :args (_let_107 true _let_109)))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_117 _let_108 _let_33 (not _let_126)))) _let_125 _let_127 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (tptp.xq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)) _let_120 :args (_let_126 false _let_119)) :args (_let_33 false _let_8 false _let_107 false _let_126)))) (let ((_let_129 (and _let_34 (= tptp.xc (tptp.sdtpldt0 tptp.sz00 tptp.xc))))) (let ((_let_130 (not _let_7))) (let ((_let_131 (or _let_130 _let_129))) (let ((_let_132 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz00)) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_133 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (_let_132))) (let ((_let_135 ((not (= (tptp.aInteger0 W0) false))))) (let ((_let_136 (AND_ELIM _let_124 :args (4)))) (let ((_let_137 (tptp.sdtpldt0 tptp.sz00 _let_35))) (let ((_let_138 (and (= tptp.sz00 _let_137) _let_37))) (let ((_let_139 (not _let_25))) (let ((_let_140 (or _let_139 _let_138))) (let ((_let_141 (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_142 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_143 (_let_141))) (let ((_let_144 ((not (= (tptp.aInteger0 W0) false))))) (let ((_let_145 (ASSUME :args (_let_25)))) (let ((_let_146 (and _let_39 _let_41))) (let ((_let_147 (or _let_130 _let_146))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_147)) :args ((or _let_130 _let_146 (not _let_147)))) _let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_142 :args (tptp.xc QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_143)) _let_142 :args (_let_147 false _let_141)) :args (_let_146 false _let_7 false _let_147)))) (let ((_let_149 (not _let_146))) (let ((_let_150 (and (= tptp.sz00 (tptp.sdtpldt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_42)) _let_44))) (let ((_let_151 (or _let_108 _let_150))) (let ((_let_152 (and (= tptp.sz00 (tptp.sdtasdt0 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((or _let_183 _let_209 (not _let_210)))) _let_190 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_142 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_143)) _let_142 :args (_let_210 false _let_141)) :args (_let_209 false _let_182 false _let_210)) :args (_let_64 false _let_209)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_197 0)) :args ((or _let_61 (not _let_197)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_200)) :args ((or _let_199 _let_197 (not _let_200)))) _let_208 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_135)) :args _let_134)) _let_133 :args (_let_200 false _let_132)) :args (_let_197 false _let_198 false _let_200)) :args (_let_61 false _let_197)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_191 1)) :args ((or _let_60 (not _let_191)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_194)) :args ((or _let_193 _let_191 (not _let_194)))) _let_196 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_135)) :args _let_134)) _let_133 :args (_let_194 false _let_132)) :args (_let_191 false _let_192 false _let_194)) :args (_let_60 false _let_191)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_181 1)) :args ((or _let_59 (not _let_181)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_184)) :args ((or _let_183 _let_181 (not _let_184)))) _let_190 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_135)) :args _let_134)) _let_133 :args (_let_184 false _let_132)) :args (_let_181 false _let_182 false _let_184)) :args (_let_59 false _let_181)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_179 0)) :args ((or _let_58 (not _let_179)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_180)) :args ((or _let_108 _let_179 (not _let_180)))) _let_127 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_165)) :args _let_164)) _let_163 :args (_let_180 false _let_162)) :args (_let_179 false _let_107 false _let_180)) :args (_let_58 false _let_179)) _let_178 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_174 0)) :args ((or _let_54 _let_177))) _let_176 :args (_let_54 false _let_174)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_168 1)) :args ((or _let_53 _let_173))) _let_172 :args (_let_53 false _let_168)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_168 0)) :args ((or _let_52 _let_173))) _let_172 :args (_let_52 false _let_168)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_160 1)) :args ((or _let_50 _let_167))) _let_166 :args (_let_50 false _let_160)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_160 0)) :args ((or _let_48 _let_167))) _let_166 :args (_let_48 false _let_160)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_158 1)) :args ((or _let_46 (not _let_158)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_159)) :args ((or _let_130 _let_158 (not _let_159)))) _let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (tptp.xc QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_157)) :args _let_156)) _let_155 :args (_let_159 false _let_154)) :args (_let_158 false _let_7 false _let_159)) :args (_let_46 false _let_158)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_152 1)) :args ((or _let_45 (not _let_152)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_153)) :args ((or _let_117 _let_152 (not _let_153)))) _let_125 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (tptp.xq QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_157)) :args _let_156)) _let_155 :args (_let_153 false _let_154)) :args (_let_152 false _let_8 false _let_153)) :args (_let_45 false _let_152)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_150 1)) :args ((or _let_44 (not _let_150)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_151)) :args ((or _let_108 _let_150 (not _let_151)))) _let_127 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_142 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_143)) _let_142 :args (_let_151 false _let_141)) :args (_let_150 false _let_107 false _let_151)) :args (_let_44 false _let_150)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_146 1)) :args ((or _let_41 _let_149))) _let_148 :args (_let_41 false _let_146)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_146 0)) :args ((or _let_39 _let_149))) _let_148 :args (_let_39 false _let_146)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_138 1)) :args ((or _let_37 (not _let_138)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_140)) :args ((or _let_139 _let_138 (not _let_140)))) _let_145 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_142 :args (tptp.sz00 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_143)) _let_142 :args (_let_140 false _let_141)) :args (_let_138 false _let_25 false _let_140)) :args (_let_37 false _let_138)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_129 0)) :args ((or _let_34 (not _let_129)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_130 _let_129 (not _let_131)))) _let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (tptp.xc QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_135)) :args _let_134)) _let_133 :args (_let_131 false _let_132)) :args (_let_129 false _let_7 false _let_131)) :args (_let_34 false _let_129)) _let_128 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_117 _let_94 _let_31 (not _let_118)))) _let_125 _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (tptp.xq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)) _let_120 :args (_let_118 false _let_119)) :args (_let_31 false _let_8 false _let_93 false _let_118)) _let_116 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_95 1)) (CONG _let_105 (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_27))) :args _let_101)) :args ((or _let_27 _let_95))) _let_104 :args (_let_27 true _let_95)) :args (false false _let_91 false _let_90 false _let_89 false _let_88 true _let_87 false _let_86 false _let_85 false _let_83 false _let_81 false _let_80 false _let_77 false _let_75 false _let_74 false _let_71 false _let_70 false _let_67 false _let_66 false _let_64 false _let_61 false _let_60 false _let_59 false _let_58 false _let_56 false _let_54 false _let_53 false _let_52 false _let_50 false _let_48 false _let_46 false _let_45 false _let_44 false _let_41 false _let_39 false _let_37 false _let_34 false _let_33 false _let_31 false _let_29 false _let_27)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) true)) _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) _let_14 _let_13 _let_12 (forall ((W0 $$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 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (not (= W1 tptp.sz00))) (tptp.sdteqdtlpzmzozddtrp0 W0 W0 W1))) (forall ((W0 $$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.sdteqdtlpzmzozddtrp0 W1 W0 W2)))) _let_11 _let_6 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 83.40/83.58  )
% 83.40/83.58  % SZS output end Proof for NUM428+3
% 83.40/83.58  % cvc5---1.0.5 exiting
% 83.40/83.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------