TSTP Solution File: SWV024+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV024+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 21:49:00 EDT 2023
% Result : Theorem 0.16s 0.60s
% Output : Proof 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV024+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.12 % Command : do_cvc5 %s %d
% 0.10/0.33 % Computer : n003.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue Aug 29 03:42:55 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.16/0.45 %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.60 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.DvPbw63dd2/cvc5---1.0.5_31089.p...
% 0.16/0.60 ------- get file name : TPTP file name is SWV024+1
% 0.16/0.60 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31089.smt2...
% 0.16/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.16/0.60 % SZS status Theorem for SWV024+1
% 0.16/0.60 % SZS output start Proof for SWV024+1
% 0.16/0.60 (
% 0.16/0.60 (let ((_let_1 (tptp.succ tptp.n0))) (let ((_let_2 (tptp.succ _let_1))) (let ((_let_3 (tptp.succ _let_2))) (let ((_let_4 (= _let_3 tptp.n3))) (let ((_let_5 (= _let_2 tptp.n2))) (let ((_let_6 (= _let_1 tptp.n1))) (let ((_let_7 (tptp.succ _let_3))) (let ((_let_8 (tptp.gt tptp.n3 tptp.n2))) (let ((_let_9 (tptp.gt tptp.n2 tptp.n1))) (let ((_let_10 (tptp.gt tptp.n2 tptp.n0))) (let ((_let_11 (tptp.gt tptp.n1 tptp.n0))) (let ((_let_12 (tptp.gt tptp.loopcounter tptp.n1))) (let ((_let_13 (=> _let_12 (and (= tptp.pvar1400_init tptp.init) (= tptp.pvar1401_init tptp.init) (= tptp.pvar1402_init tptp.init))))) (let ((_let_14 (tptp.minus tptp.n330 tptp.n1))) (let ((_let_15 (tptp.leq tptp.pv20 _let_14))) (let ((_let_16 (tptp.minus tptp.n410 tptp.n1))) (let ((_let_17 (tptp.leq tptp.pv19 _let_16))) (let ((_let_18 (tptp.leq tptp.pv7 _let_16))) (let ((_let_19 (tptp.leq tptp.s_worst7 tptp.n3))) (let ((_let_20 (tptp.leq tptp.s_sworst7 tptp.n3))) (let ((_let_21 (tptp.leq tptp.s_best7 tptp.n3))) (let ((_let_22 (tptp.leq tptp.n0 tptp.pv20))) (let ((_let_23 (tptp.leq tptp.n0 tptp.pv19))) (let ((_let_24 (tptp.leq tptp.n0 tptp.pv7))) (let ((_let_25 (tptp.leq tptp.n0 tptp.s_worst7))) (let ((_let_26 (tptp.leq tptp.n0 tptp.s_sworst7))) (let ((_let_27 (tptp.leq tptp.n0 tptp.s_best7))) (let ((_let_28 (tptp.a_select2 tptp.s_try7_init tptp.n2))) (let ((_let_29 (tptp.a_select2 tptp.s_try7_init tptp.n1))) (let ((_let_30 (tptp.a_select2 tptp.s_try7_init tptp.n0))) (let ((_let_31 (= tptp.s_worst7_init tptp.init))) (let ((_let_32 (= tptp.s_sworst7_init tptp.init))) (let ((_let_33 (= tptp.s_best7_init tptp.init))) (let ((_let_34 (= tptp.init tptp.init))) (let ((_let_35 (not (=> (and _let_34 _let_33 _let_32 _let_31 _let_27 _let_26 _let_25 _let_24 (tptp.leq tptp.n0 tptp.pv8) _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 (tptp.leq tptp.pv8 _let_14) _let_17 _let_15 (forall ((A $$unsorted)) (=> (and (tptp.leq tptp.n0 A) (tptp.leq A tptp.n2)) (forall ((B $$unsorted)) (=> (and (tptp.leq tptp.n0 B) (tptp.leq B tptp.n3)) (= (tptp.a_select3 tptp.simplex7_init B A) tptp.init))))) (forall ((C $$unsorted)) (=> (and (tptp.leq tptp.n0 C) (tptp.leq C tptp.n3)) (= (tptp.a_select2 tptp.s_values7_init C) tptp.init))) (forall ((D $$unsorted)) (=> (and (tptp.leq tptp.n0 D) (tptp.leq D tptp.n2)) (= (tptp.a_select2 tptp.s_center7_init D) tptp.init))) (forall ((E $$unsorted)) (=> (and (tptp.leq tptp.n0 E) (tptp.leq E (tptp.minus tptp.n3 tptp.n1))) (= (tptp.a_select2 tptp.s_try7_init E) tptp.init))) _let_13) (and _let_34 _let_33 _let_32 _let_31 (= _let_30 tptp.init) (= _let_29 tptp.init) (= _let_28 tptp.init) _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_15 (forall ((F $$unsorted)) (=> (and (tptp.leq tptp.n0 F) (tptp.leq F tptp.n2)) (forall ((G $$unsorted)) (=> (and (tptp.leq tptp.n0 G) (tptp.leq G tptp.n3)) (= (tptp.a_select3 tptp.simplex7_init G F) tptp.init))))) (forall ((H $$unsorted)) (=> (and (tptp.leq tptp.n0 H) (tptp.leq H tptp.n3)) (= (tptp.a_select2 tptp.s_values7_init H) tptp.init))) (forall ((I $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I tptp.n2)) (= (tptp.a_select2 tptp.s_center7_init I) tptp.init))) (forall ((J $$unsorted)) (=> (and (tptp.leq tptp.n0 J) (tptp.leq J (tptp.minus tptp.n3 tptp.n1))) (= (tptp.a_select2 tptp.s_try7_init J) tptp.init))) _let_13))))) (let ((_let_36 (forall ((X $$unsorted)) (= (tptp.pred (tptp.succ X)) X)))) (let ((_let_37 (forall ((X $$unsorted)) (= (tptp.minus X tptp.n1) (tptp.pred X))))) (let ((_let_38 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq X (tptp.pred Y)) (tptp.gt Y X))))) (let ((_let_39 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.gt Y X) (tptp.leq X Y))))) (let ((_let_40 (and (= tptp.init tptp.pvar1400_init) (= tptp.init tptp.pvar1401_init) (= tptp.init tptp.pvar1402_init)))) (let ((_let_41 (=> _let_12 _let_40))) (let ((_let_42 (forall ((J $$unsorted)) (or (not (tptp.leq tptp.n0 J)) (not (tptp.leq J (tptp.minus tptp.n3 tptp.n1))) (= tptp.init (tptp.a_select2 tptp.s_try7_init J)))))) (let ((_let_43 (forall ((I $$unsorted)) (or (not (tptp.leq tptp.n0 I)) (not (tptp.leq I tptp.n2)) (= tptp.init (tptp.a_select2 tptp.s_center7_init I)))))) (let ((_let_44 (forall ((H $$unsorted)) (or (not (tptp.leq tptp.n0 H)) (not (tptp.leq H tptp.n3)) (= tptp.init (tptp.a_select2 tptp.s_values7_init H)))))) (let ((_let_45 (forall ((F $$unsorted) (BOUND_VARIABLE_2263 $$unsorted)) (or (not (tptp.leq tptp.n0 F)) (not (tptp.leq F tptp.n2)) (not (tptp.leq tptp.n0 BOUND_VARIABLE_2263)) (not (tptp.leq BOUND_VARIABLE_2263 tptp.n3)) (= tptp.init (tptp.a_select3 tptp.simplex7_init BOUND_VARIABLE_2263 F)))))) (let ((_let_46 (= tptp.init _let_28))) (let ((_let_47 (= tptp.init _let_29))) (let ((_let_48 (= tptp.init _let_30))) (let ((_let_49 (= tptp.init tptp.s_worst7_init))) (let ((_let_50 (= tptp.init tptp.s_sworst7_init))) (let ((_let_51 (= tptp.init tptp.s_best7_init))) (let ((_let_52 (not _let_41))) (let ((_let_53 (forall ((E $$unsorted)) (or (not (tptp.leq tptp.n0 E)) (not (tptp.leq E (tptp.minus tptp.n3 tptp.n1))) (= tptp.init (tptp.a_select2 tptp.s_try7_init E)))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (NOT_IMPLIES_ELIM1 _let_54))) (let ((_let_56 (AND_ELIM _let_55 :args (20)))) (let ((_let_57 (forall ((D $$unsorted)) (or (not (tptp.leq tptp.n0 D)) (not (tptp.leq D tptp.n2)) (= tptp.init (tptp.a_select2 tptp.s_center7_init D)))))) (let ((_let_58 (forall ((C $$unsorted)) (or (not (tptp.leq tptp.n0 C)) (not (tptp.leq C tptp.n3)) (= tptp.init (tptp.a_select2 tptp.s_values7_init C)))))) (let ((_let_59 (forall ((A $$unsorted) (BOUND_VARIABLE_2195 $$unsorted)) (or (not (tptp.leq tptp.n0 A)) (not (tptp.leq A tptp.n2)) (not (tptp.leq tptp.n0 BOUND_VARIABLE_2195)) (not (tptp.leq BOUND_VARIABLE_2195 tptp.n3)) (= tptp.init (tptp.a_select3 tptp.simplex7_init BOUND_VARIABLE_2195 A)))))) (let ((_let_60 (tptp.minus tptp.n3 tptp.n1))) (let ((_let_61 (tptp.leq tptp.n2 _let_60))) (let ((_let_62 (not _let_61))) (let ((_let_63 (tptp.leq tptp.n0 tptp.n2))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_62 _let_46))) (let ((_let_66 (_let_53))) (let ((_let_67 ((not (= (tptp.a_select2 tptp.s_try7_init E) tptp.init))))) (let ((_let_68 (ASSUME :args _let_66))) (let ((_let_69 (tptp.pred tptp.n3))) (let ((_let_70 (= _let_60 _let_69))) (let ((_let_71 (= _let_2 (tptp.pred _let_3)))) (let ((_let_72 (tptp.leq tptp.n2 _let_69))) (let ((_let_73 (= tptp.n3 _let_3))) (let ((_let_74 (_let_37))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.n3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.minus X tptp.n1)))) :args _let_74)) _let_75 :args (_let_70 false _let_37)))) (let ((_let_77 (forall ((X $$unsorted)) (= X (tptp.pred (tptp.succ X)))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (_let_77))) (let ((_let_80 ((tptp.succ X)))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_71 false _let_77)))) (let ((_let_82 (= _let_8 _let_72))) (let ((_let_83 (_let_38))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 ((tptp.gt Y X)))) (let ((_let_86 (SYMM (ASSUME :args (_let_4))))) (let ((_let_87 (not _let_70))) (let ((_let_88 (not _let_71))) (let ((_let_89 (not _let_73))) (let ((_let_90 (and _let_73 _let_72 _let_71 _let_70))) (let ((_let_91 (ASSUME :args (_let_72)))) (let ((_let_92 (APPLY_UF tptp.leq))) (let ((_let_93 (APPLY_UF tptp.pred))) (let ((_let_94 (SYMM (SYMM _let_86)))) (let ((_let_95 (CONG (SYMM _let_94) :args _let_93))) (let ((_let_96 (ASSUME :args (_let_71)))) (let ((_let_97 (SYMM _let_96))) (let ((_let_98 (REFL :args (tptp.n2)))) (let ((_let_99 (ASSUME :args (_let_70)))) (let ((_let_100 (SYMM (SYMM _let_99)))) (let ((_let_101 (not _let_10))) (let ((_let_102 (or _let_101 _let_63))) (let ((_let_103 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.gt Y X)) (tptp.leq X Y))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (_let_103))) (let ((_let_106 ((not (= (tptp.gt Y X) false))))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_101 _let_63 (not _let_102)))) (ASSUME :args (_let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.n0 tptp.n2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_105)) _let_104 :args (_let_102 false _let_103)) :args (_let_63 false _let_10 false _let_102)))) (let ((_let_108 (tptp.leq tptp.n1 _let_60))) (let ((_let_109 (not _let_108))) (let ((_let_110 (tptp.leq tptp.n0 tptp.n1))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_111 _let_109 _let_47))) (let ((_let_113 (tptp.leq tptp.n1 tptp.n2))) (let ((_let_114 (= tptp.n2 _let_2))) (let ((_let_115 (not _let_9))) (let ((_let_116 (or _let_115 _let_113))) (let ((_let_117 (SYMM (ASSUME :args (_let_5))))) (let ((_let_118 (not _let_114))) (let ((_let_119 (and _let_114 _let_73 _let_113 _let_71 _let_70))) (let ((_let_120 (ASSUME :args (_let_113)))) (let ((_let_121 (SYMM _let_117))) (let ((_let_122 (REFL :args (tptp.n1)))) (let ((_let_123 (TRANS _let_100 (CONG _let_94 :args _let_93) _let_97))) (let ((_let_124 (not _let_11))) (let ((_let_125 (or _let_124 _let_110))) (let ((_let_126 (ASSUME :args (_let_11)))) (let ((_let_127 (tptp.leq tptp.n0 _let_60))) (let ((_let_128 (not _let_127))) (let ((_let_129 (tptp.leq tptp.n0 tptp.n0))) (let ((_let_130 (not _let_129))) (let ((_let_131 (or _let_130 _let_128 _let_48))) (let ((_let_132 (and _let_114 _let_73 _let_63 _let_71 _let_70))) (let ((_let_133 (ASSUME :args (_let_63)))) (let ((_let_134 (REFL :args (tptp.n0)))) (let ((_let_135 (= tptp.n0 (tptp.pred _let_1)))) (let ((_let_136 (tptp.leq tptp.n0 (tptp.pred tptp.n1)))) (let ((_let_137 (= tptp.n1 _let_1))) (let ((_let_138 (= _let_11 _let_136))) (let ((_let_139 (SYMM (ASSUME :args (_let_6))))) (let ((_let_140 (and _let_137 _let_136 _let_135))) (let ((_let_141 (ASSUME :args (_let_136)))) (let ((_let_142 (ASSUME :args (_let_135)))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (REORDERING (NOT_AND (NOT_IMPLIES_ELIM2 _let_54)) :args ((or (not _let_51) (not _let_50) (not _let_49) (not _let_27) (not _let_26) (not _let_25) (not _let_24) (not _let_23) (not _let_22) (not _let_21) (not _let_20) (not _let_19) (not _let_18) (not _let_17) (not _let_15) (not _let_48) (not _let_47) (not _let_46) (not _let_45) (not _let_44) (not _let_43) (not _let_42) _let_52))) (AND_ELIM _let_55 :args (0)) (AND_ELIM _let_55 :args (1)) (AND_ELIM _let_55 :args (2)) (AND_ELIM _let_55 :args (3)) (AND_ELIM _let_55 :args (4)) (AND_ELIM _let_55 :args (5)) (AND_ELIM _let_55 :args (6)) (AND_ELIM _let_55 :args (8)) (AND_ELIM _let_55 :args (9)) (AND_ELIM _let_55 :args (10)) (AND_ELIM _let_55 :args (11)) (AND_ELIM _let_55 :args (12)) (AND_ELIM _let_55 :args (13)) (AND_ELIM _let_55 :args (15)) (AND_ELIM _let_55 :args (16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_48 _let_130 _let_128 (not _let_131)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_140)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_141 _let_139 _let_142) (SCOPE (TRUE_ELIM (TRANS (CONG _let_134 (TRANS (SYMM (SYMM _let_142)) (CONG (SYMM _let_139) :args _let_93)) :args _let_92) (TRUE_INTRO _let_141))) :args (_let_136 _let_137 _let_135))) :args (_let_137 _let_136 _let_135))) :args (true _let_140)) :args ((or (not _let_137) _let_129 (not _let_136) (not _let_135)))) _let_139 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_138)) :args ((or _let_124 _let_136 (not _let_138)))) _let_126 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.n0 tptp.n1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83))) _let_84 :args (_let_138 false _let_38)) :args (_let_136 false _let_11 false _let_138)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_135 false _let_77)) :args (_let_129 false _let_137 false _let_136 false _let_135)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_132)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_133 _let_117 _let_96 _let_86 _let_99) (SCOPE (TRUE_ELIM (TRANS (CONG _let_134 _let_123 :args _let_92) (CONG _let_134 _let_121 :args _let_92) (TRUE_INTRO _let_133))) :args (_let_63 _let_114 _let_71 _let_73 _let_70))) :args (_let_114 _let_73 _let_63 _let_71 _let_70))) :args (true _let_132)) :args ((or _let_118 _let_89 _let_127 _let_64 _let_88 _let_87))) _let_117 _let_86 _let_107 _let_81 _let_76 :args (_let_127 false _let_114 false _let_73 false _let_63 false _let_71 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_56 :args (_let_131 false _let_53)) :args (_let_48 false _let_129 false _let_127 false _let_131)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_47 _let_111 _let_109 (not _let_112)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_125)) :args ((or _let_124 _let_110 (not _let_125)))) _let_126 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.n0 tptp.n1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_105)) _let_104 :args (_let_125 false _let_103)) :args (_let_110 false _let_11 false _let_125)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_119)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_120 _let_117 _let_96 _let_86 _let_99) (SCOPE (TRUE_ELIM (TRANS (CONG _let_122 _let_123 :args _let_92) (CONG _let_122 _let_121 :args _let_92) (TRUE_INTRO _let_120))) :args (_let_113 _let_114 _let_71 _let_73 _let_70))) :args (_let_114 _let_73 _let_113 _let_71 _let_70))) :args (true _let_119)) :args ((or _let_118 _let_89 _let_108 (not _let_113) _let_88 _let_87))) _let_117 _let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_115 _let_113 (not _let_116)))) (ASSUME :args (_let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.n1 tptp.n2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_105)) _let_104 :args (_let_116 false _let_103)) :args (_let_113 false _let_9 false _let_116)) _let_81 _let_76 :args (_let_108 false _let_114 false _let_73 false _let_113 false _let_71 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.n1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_56 :args (_let_112 false _let_53)) :args (_let_47 false _let_110 false _let_108 false _let_112)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_46 _let_64 _let_62 (not _let_65)))) _let_107 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_90)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_91 _let_86 _let_96 _let_99) (SCOPE (TRUE_ELIM (TRANS (CONG _let_98 (TRANS _let_100 (SYMM _let_95) _let_97) :args _let_92) (CONG _let_98 (TRANS (SYMM _let_97) _let_95) :args _let_92) (TRUE_INTRO _let_91))) :args (_let_72 _let_73 _let_71 _let_70))) :args (_let_73 _let_72 _let_71 _let_70))) :args (true _let_90)) :args ((or _let_89 _let_61 (not _let_72) _let_88 _let_87))) _let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_82)) :args ((or (not _let_8) _let_72 (not _let_82)))) (ASSUME :args (_let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.n2 tptp.n3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83))) _let_84 :args (_let_82 false _let_38)) :args (_let_72 false _let_8 false _let_82)) _let_81 _let_76 :args (_let_61 false _let_73 false _let_72 false _let_71 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.n2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_56 :args (_let_65 false _let_53)) :args (_let_46 false _let_63 false _let_61 false _let_65)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_59 (= BOUND_VARIABLE_2195 BOUND_VARIABLE_2263) (= A F)))) :args ((or _let_45 (not _let_59)))) (AND_ELIM _let_55 :args (17)) :args (_let_45 false _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_58 (= C H)))) :args ((or _let_44 (not _let_58)))) (AND_ELIM _let_55 :args (18)) :args (_let_44 false _let_58)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_57 (= D I)))) :args ((or _let_43 (not _let_57)))) (AND_ELIM _let_55 :args (19)) :args (_let_43 false _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_53 (= E J)))) :args ((or _let_42 (not _let_53)))) _let_56 :args (_let_42 false _let_53)) :args (_let_52 false _let_51 false _let_50 false _let_49 false _let_27 false _let_26 false _let_25 false _let_24 false _let_23 false _let_22 false _let_21 false _let_20 false _let_19 false _let_18 false _let_17 false _let_15 false _let_48 false _let_47 false _let_46 false _let_45 false _let_44 false _let_43 false _let_42)))) (let ((_let_144 (_let_41))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (AND_ELIM _let_55 :args (21))) :args ((or _let_40 (not _let_12)))) (MACRO_RESOLUTION_TRUST (CNF_IMPLIES_NEG2 :args _let_144) _let_143 :args ((not _let_40) true _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_IMPLIES_NEG1 :args _let_144) :args ((or _let_12 _let_41))) _let_143 :args (_let_12 true _let_41)) :args (false true _let_40 false _let_12)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.gt X Y) (tptp.gt Y X) (= X Y))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.gt X Y) (tptp.gt Y Z)) (tptp.gt X Z))) (forall ((X $$unsorted)) (not (tptp.gt X X))) (forall ((X $$unsorted)) (tptp.leq X X)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.leq X Y) (tptp.leq Y Z)) (tptp.leq X Z))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.lt X Y) (tptp.gt Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.geq X Y) (tptp.leq Y X))) _let_39 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.leq X Y) (not (= X Y))) (tptp.gt Y X))) _let_38 (forall ((X $$unsorted)) (tptp.gt (tptp.succ X) X)) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.leq X Y) (tptp.leq X (tptp.succ Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq X Y) (tptp.gt (tptp.succ Y) X))) (forall ((X $$unsorted) (C $$unsorted)) (=> (tptp.leq tptp.n0 X) (tptp.leq (tptp.uniform_int_rnd C X) X))) (forall ((X $$unsorted) (C $$unsorted)) (=> (tptp.leq tptp.n0 X) (tptp.leq tptp.n0 (tptp.uniform_int_rnd C X)))) (forall ((I $$unsorted) (L $$unsorted) (U $$unsorted) (Val $$unsorted)) (=> (and (tptp.leq L I) (tptp.leq I U)) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim L U) Val) I) Val))) (forall ((I $$unsorted) (L1 $$unsorted) (U1 $$unsorted) (J $$unsorted) (L2 $$unsorted) (U2 $$unsorted) (Val $$unsorted)) (=> (and (tptp.leq L1 I) (tptp.leq I U1) (tptp.leq L2 J) (tptp.leq J U2)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim L1 U1) (tptp.dim L2 U2) Val) I J) Val))) (forall ((A $$unsorted) (N $$unsorted)) (=> (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.trans A))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (N $$unsorted)) (=> (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.inv A))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (N $$unsorted)) (=> (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted) (K $$unsorted) (VAL $$unsorted)) (let ((_let_1 (tptp.tptp_update3 A K K VAL))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N) (tptp.leq tptp.n0 K) (tptp.leq K N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (B $$unsorted) (N $$unsorted)) (=> (and (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 B I J) (tptp.a_select3 B J I))))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_madd A B))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (B $$unsorted) (N $$unsorted)) (=> (and (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 B I J) (tptp.a_select3 B J I))))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_msub A B))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (B $$unsorted) (N $$unsorted)) (=> (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 B I J) (tptp.a_select3 B J I)))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_mmul A (tptp.tptp_mmul B (tptp.trans A))))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (B $$unsorted) (N $$unsorted) (M $$unsorted)) (=> (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I M) (tptp.leq tptp.n0 J) (tptp.leq J M)) (= (tptp.a_select3 B I J) (tptp.a_select3 B J I)))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_mmul A (tptp.tptp_mmul B (tptp.trans A))))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (E $$unsorted) (F $$unsorted) (N $$unsorted) (M $$unsorted)) (=> (and (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I M) (tptp.leq tptp.n0 J) (tptp.leq J M)) (= (tptp.a_select3 D I J) (tptp.a_select3 D J I)))) (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 A I J) (tptp.a_select3 A J I)))) (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 F I J) (tptp.a_select3 F J I))))) (forall ((I $$unsorted) (J $$unsorted)) (let ((_let_1 (tptp.tptp_madd A (tptp.tptp_mmul B (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul C (tptp.tptp_mmul D (tptp.trans C))) (tptp.tptp_mmul E (tptp.tptp_mmul F (tptp.trans E)))) (tptp.trans B)))))) (=> (and (tptp.leq tptp.n0 I) (tptp.leq I N) (tptp.leq tptp.n0 J) (tptp.leq J N)) (= (tptp.a_select3 _let_1 I J) (tptp.a_select3 _let_1 J I))))))) (forall ((Body $$unsorted)) (= (tptp.sum tptp.n0 tptp.tptp_minus_1 Body) tptp.n0)) (forall ((Body $$unsorted)) (= tptp.tptp_float_0_0 (tptp.sum tptp.n0 tptp.tptp_minus_1 Body))) (= (tptp.succ tptp.tptp_minus_1) tptp.n0) (forall ((X $$unsorted)) (= (tptp.plus X tptp.n1) (tptp.succ X))) (forall ((X $$unsorted)) (= (tptp.plus tptp.n1 X) (tptp.succ X))) (forall ((X $$unsorted)) (= (tptp.plus X tptp.n2) (tptp.succ (tptp.succ X)))) (forall ((X $$unsorted)) (= (tptp.plus tptp.n2 X) (tptp.succ (tptp.succ X)))) (forall ((X $$unsorted)) (= (tptp.plus X tptp.n3) (tptp.succ (tptp.succ (tptp.succ X))))) (forall ((X $$unsorted)) (= (tptp.plus tptp.n3 X) (tptp.succ (tptp.succ (tptp.succ X))))) (forall ((X $$unsorted)) (= (tptp.plus X tptp.n4) (tptp.succ (tptp.succ (tptp.succ (tptp.succ X)))))) (forall ((X $$unsorted)) (= (tptp.plus tptp.n4 X) (tptp.succ (tptp.succ (tptp.succ (tptp.succ X)))))) (forall ((X $$unsorted)) (= (tptp.plus X tptp.n5) (tptp.succ (tptp.succ (tptp.succ (tptp.succ (tptp.succ X))))))) (forall ((X $$unsorted)) (= (tptp.plus tptp.n5 X) (tptp.succ (tptp.succ (tptp.succ (tptp.succ (tptp.succ X))))))) _let_37 _let_36 (forall ((X $$unsorted)) (= (tptp.succ (tptp.pred X)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.leq (tptp.succ X) (tptp.succ Y)) (tptp.leq X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.leq (tptp.succ X) Y) (tptp.gt Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.leq (tptp.minus X Y) X) (tptp.leq tptp.n0 Y))) (forall ((X $$unsorted) (U $$unsorted) (V $$unsorted) (VAL $$unsorted)) (= (tptp.a_select3 (tptp.tptp_update3 X U V VAL) U V) VAL)) (forall ((I $$unsorted) (J $$unsorted) (U $$unsorted) (V $$unsorted) (X $$unsorted) (VAL $$unsorted) (VAL2 $$unsorted)) (=> (and (not (= I U)) (= J V) (= (tptp.a_select3 X U V) VAL)) (= (tptp.a_select3 (tptp.tptp_update3 X I J VAL2) U V) VAL))) (forall ((I $$unsorted) (J $$unsorted) (U $$unsorted) (V $$unsorted) (X $$unsorted) (VAL $$unsorted)) (=> (and (forall ((I0 $$unsorted) (J0 $$unsorted)) (=> (and (tptp.leq tptp.n0 I0) (tptp.leq tptp.n0 J0) (tptp.leq I0 U) (tptp.leq J0 V)) (= (tptp.a_select3 X I0 J0) VAL))) (tptp.leq tptp.n0 I) (tptp.leq I U) (tptp.leq tptp.n0 J) (tptp.leq J V)) (= (tptp.a_select3 (tptp.tptp_update3 X U V VAL) I J) VAL))) (forall ((X $$unsorted) (U $$unsorted) (VAL $$unsorted)) (= (tptp.a_select2 (tptp.tptp_update2 X U VAL) U) VAL)) (forall ((I $$unsorted) (U $$unsorted) (X $$unsorted) (VAL $$unsorted) (VAL2 $$unsorted)) (=> (and (not (= I U)) (= (tptp.a_select2 X U) VAL)) (= (tptp.a_select2 (tptp.tptp_update2 X I VAL2) U) VAL))) (forall ((I $$unsorted) (U $$unsorted) (X $$unsorted) (VAL $$unsorted)) (=> (and (forall ((I0 $$unsorted)) (=> (and (tptp.leq tptp.n0 I0) (tptp.leq I0 U)) (= (tptp.a_select2 X I0) VAL))) (tptp.leq tptp.n0 I) (tptp.leq I U)) (= (tptp.a_select2 (tptp.tptp_update2 X U VAL) I) VAL))) tptp.true (not (= tptp.def tptp.use)) _let_35 (tptp.gt tptp.n5 tptp.n4) (tptp.gt tptp.n330 tptp.n4) (tptp.gt tptp.n410 tptp.n4) (tptp.gt tptp.n330 tptp.n5) (tptp.gt tptp.n410 tptp.n5) (tptp.gt tptp.n410 tptp.n330) (tptp.gt tptp.n4 tptp.tptp_minus_1) (tptp.gt tptp.n5 tptp.tptp_minus_1) (tptp.gt tptp.n330 tptp.tptp_minus_1) (tptp.gt tptp.n410 tptp.tptp_minus_1) (tptp.gt tptp.n0 tptp.tptp_minus_1) (tptp.gt tptp.n1 tptp.tptp_minus_1) (tptp.gt tptp.n2 tptp.tptp_minus_1) (tptp.gt tptp.n3 tptp.tptp_minus_1) (tptp.gt tptp.n4 tptp.n0) (tptp.gt tptp.n5 tptp.n0) (tptp.gt tptp.n330 tptp.n0) (tptp.gt tptp.n410 tptp.n0) _let_11 _let_10 (tptp.gt tptp.n3 tptp.n0) (tptp.gt tptp.n4 tptp.n1) (tptp.gt tptp.n5 tptp.n1) (tptp.gt tptp.n330 tptp.n1) (tptp.gt tptp.n410 tptp.n1) _let_9 (tptp.gt tptp.n3 tptp.n1) (tptp.gt tptp.n4 tptp.n2) (tptp.gt tptp.n5 tptp.n2) (tptp.gt tptp.n330 tptp.n2) (tptp.gt tptp.n410 tptp.n2) _let_8 (tptp.gt tptp.n4 tptp.n3) (tptp.gt tptp.n5 tptp.n3) (tptp.gt tptp.n330 tptp.n3) (tptp.gt tptp.n410 tptp.n3) (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n4)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2) (= X tptp.n3) (= X tptp.n4)))) (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n5)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2) (= X tptp.n3) (= X tptp.n4) (= X tptp.n5)))) (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n0)) (= X tptp.n0))) (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n1)) (or (= X tptp.n0) (= X tptp.n1)))) (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n2)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2)))) (forall ((X $$unsorted)) (=> (and (tptp.leq tptp.n0 X) (tptp.leq X tptp.n3)) (or (= X tptp.n0) (= X tptp.n1) (= X tptp.n2) (= X tptp.n3)))) (= _let_7 tptp.n4) (= (tptp.succ _let_7) tptp.n5) _let_6 _let_5 _let_4 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.16/0.61 )
% 0.16/0.61 % SZS output end Proof for SWV024+1
% 0.16/0.61 % cvc5---1.0.5 exiting
% 0.16/0.61 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------