TSTP Solution File: ANA003-3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ANA003-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 : Wed Aug 30 17:14:25 EDT 2023
% Result : Unsatisfiable 138.44s 138.68s
% Output : Proof 138.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ANA003-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 18:15:45 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.32VZbnrsVc/cvc5---1.0.5_9968.p...
% 0.20/0.51 ------- get file name : TPTP file name is ANA003-3
% 0.20/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9968.smt2...
% 0.20/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.42/10.63 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.48/15.66 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.49/20.69 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.48/25.72 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.58/30.79 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.64/35.85 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.69/40.92 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.79/45.98 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.77/51.01 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.79/56.05 --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.85/61.09 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 65.97/66.19 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 75.98/76.24 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 86.09/86.34 --- Run --no-cbqi --full-saturate-quant at 10...
% 96.23/96.49 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 138.44/138.68 % SZS status Unsatisfiable for ANA003-3
% 138.44/138.68 % SZS output start Proof for ANA003-3
% 138.47/138.68 (
% 138.47/138.68 (let ((_let_1 (forall ((Delta $$unsorted)) (let ((_let_1 (tptp.xs Delta))) (or (tptp.less_or_equal Delta tptp.n0) (not (tptp.less_or_equal (tptp.add (tptp.absolute (tptp.add (tptp.f _let_1) (tptp.negate (tptp.f tptp.a_real_number)))) (tptp.absolute (tptp.add (tptp.g _let_1) (tptp.negate (tptp.g tptp.a_real_number))))) tptp.epsilon_0))))))) (let ((_let_2 (forall ((Delta $$unsorted)) (or (tptp.less_or_equal Delta tptp.n0) (tptp.less_or_equal (tptp.absolute (tptp.add (tptp.xs Delta) (tptp.negate tptp.a_real_number))) Delta))))) (let ((_let_3 (tptp.less_or_equal tptp.epsilon_0 tptp.n0))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((Epsilon $$unsorted) (Z $$unsorted)) (or (tptp.less_or_equal Epsilon tptp.n0) (not (tptp.less_or_equal (tptp.absolute (tptp.add Z (tptp.negate tptp.a_real_number))) (tptp.delta_2 Epsilon))) (tptp.less_or_equal (tptp.absolute (tptp.add (tptp.g Z) (tptp.negate (tptp.g tptp.a_real_number)))) Epsilon))))) (let ((_let_6 (forall ((Epsilon $$unsorted) (Z $$unsorted)) (or (tptp.less_or_equal Epsilon tptp.n0) (not (tptp.less_or_equal (tptp.absolute (tptp.add Z (tptp.negate tptp.a_real_number))) (tptp.delta_1 Epsilon))) (tptp.less_or_equal (tptp.absolute (tptp.add (tptp.f Z) (tptp.negate (tptp.f tptp.a_real_number)))) Epsilon))))) (let ((_let_7 (forall ((Epsilon $$unsorted)) (or (tptp.less_or_equal Epsilon tptp.n0) (not (tptp.less_or_equal (tptp.delta_2 Epsilon) tptp.n0)))))) (let ((_let_8 (forall ((Epsilon $$unsorted)) (or (tptp.less_or_equal Epsilon tptp.n0) (not (tptp.less_or_equal (tptp.delta_1 Epsilon) tptp.n0)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_or_equal X Y)) (not (tptp.less_or_equal Y Z)) (tptp.less_or_equal X Z))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.less_or_equal X Y) (tptp.less_or_equal Y X))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.less_or_equal X Y)) (not (tptp.less_or_equal Z W)) (tptp.less_or_equal (tptp.add X Z) (tptp.add Y W)))))) (let ((_let_12 (forall ((X $$unsorted)) (or (tptp.less_or_equal X tptp.n0) (not (tptp.less_or_equal (tptp.half X) tptp.n0)))))) (let ((_let_13 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.half Z))) (or (not (tptp.less_or_equal X _let_1)) (not (tptp.less_or_equal Y _let_1)) (tptp.less_or_equal (tptp.add X Y) Z)))))) (let ((_let_14 (forall ((X $$unsorted)) (let ((_let_1 (tptp.half X))) (= (tptp.add _let_1 _let_1) X))))) (let ((_let_15 (forall ((Y $$unsorted) (X $$unsorted)) (or (not (tptp.less_or_equal Y X)) (= (tptp.minimum X Y) Y))))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_or_equal X Y)) (= (tptp.minimum X Y) X))))) (let ((_let_17 (tptp.half tptp.epsilon_0))) (let ((_let_18 (tptp.delta_1 _let_17))) (let ((_let_19 (tptp.half _let_18))) (let ((_let_20 (tptp.add _let_19 _let_19))) (let ((_let_21 (= _let_18 _let_20))) (let ((_let_22 (tptp.delta_2 _let_17))) (let ((_let_23 (tptp.half _let_22))) (let ((_let_24 (tptp.add _let_23 _let_23))) (let ((_let_25 (= _let_22 _let_24))) (let ((_let_26 (tptp.negate tptp.a_real_number))) (let ((_let_27 (tptp.xs _let_18))) (let ((_let_28 (tptp.absolute (tptp.add _let_27 _let_26)))) (let ((_let_29 (tptp.minimum _let_18 _let_28))) (let ((_let_30 (= _let_28 _let_29))) (let ((_let_31 (tptp.less_or_equal _let_22 _let_28))) (let ((_let_32 (tptp.less_or_equal _let_24 _let_20))) (let ((_let_33 (= _let_18 _let_29))) (let ((_let_34 (forall ((X $$unsorted)) (let ((_let_1 (tptp.half X))) (= X (tptp.add _let_1 _let_1)))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (_let_34))) (let ((_let_37 ((tptp.half X)))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_36)) _let_35 :args (_let_21 false _let_34)))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_36)) _let_35 :args (_let_25 false _let_34)))) (let ((_let_40 (tptp.less_or_equal _let_28 _let_18))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_30))) (let ((_let_43 (forall ((Y $$unsorted) (X $$unsorted)) (or (not (tptp.less_or_equal Y X)) (= Y (tptp.minimum X Y)))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_43))) (let ((_let_46 ((not (= (tptp.less_or_equal Y X) false))))) (let ((_let_47 (tptp.less_or_equal _let_18 tptp.n0))) (let ((_let_48 (or _let_47 _let_40))) (let ((_let_49 (_let_2))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 ((not (= (tptp.less_or_equal Delta tptp.n0) true))))) (let ((_let_52 (not _let_47))) (let ((_let_53 (tptp.less_or_equal _let_17 tptp.n0))) (let ((_let_54 (or _let_53 _let_52))) (let ((_let_55 (_let_8))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (not _let_53))) (let ((_let_58 (or _let_3 _let_57))) (let ((_let_59 (_let_12))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_3 _let_57 (not _let_58)))) (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.epsilon_0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.half X)))) :args _let_59)) _let_60 :args (_let_58 false _let_12)) :args (_let_57 true _let_3 false _let_58)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_52 (not _let_54)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.delta_1 Epsilon)))) :args _let_55)) _let_56 :args (_let_54 false _let_8)) :args (_let_52 true _let_53 false _let_54)))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_40 (not _let_48)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_49)) _let_50 :args (_let_48 false _let_2)) :args (_let_40 true _let_47 false _let_48)))) (let ((_let_64 (tptp.less_or_equal _let_28 _let_22))) (let ((_let_65 (or _let_64 _let_31))) (let ((_let_66 (_let_10))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 ((not (= (tptp.less_or_equal X Y) true))))) (let ((_let_69 (tptp.negate (tptp.g tptp.a_real_number)))) (let ((_let_70 (tptp.absolute (tptp.add (tptp.g _let_27) _let_69)))) (let ((_let_71 (tptp.less_or_equal _let_70 _let_17))) (let ((_let_72 (not _let_64))) (let ((_let_73 (or _let_53 _let_72 _let_71))) (let ((_let_74 (_let_5))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (tptp.negate (tptp.f tptp.a_real_number)))) (let ((_let_77 (tptp.absolute (tptp.add (tptp.f _let_27) _let_76)))) (let ((_let_78 (tptp.less_or_equal (tptp.add _let_77 _let_70) tptp.epsilon_0))) (let ((_let_79 (not _let_71))) (let ((_let_80 (tptp.less_or_equal _let_77 _let_17))) (let ((_let_81 (not _let_80))) (let ((_let_82 (or _let_81 _let_79 _let_78))) (let ((_let_83 (_let_13))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 ((not (= (tptp.less_or_equal (tptp.add X Y) Z) true))))) (let ((_let_86 (or _let_53 _let_41 _let_80))) (let ((_let_87 (_let_6))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (not _let_78))) (let ((_let_90 (or _let_47 _let_89))) (let ((_let_91 (_let_1))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 ((not (= (tptp.less_or_equal Delta tptp.n0) true))))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_31 (not _let_65)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_53 _let_71 _let_72 (not _let_73)))) _let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_78 _let_81 _let_79 (not _let_82)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_47 _let_89 (not _let_90)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_91)) _let_92 :args (_let_90 false _let_1)) :args (_let_89 true _let_47 false _let_90)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_53 _let_41 _let_80 (not _let_86)))) _let_61 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_17 _let_27 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less_or_equal (tptp.absolute (tptp.add Z _let_26)) (tptp.delta_1 Epsilon)) false))))) :args _let_87)) _let_88 :args (_let_86 false _let_6)) :args (_let_80 true _let_53 false _let_40 false _let_86)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_77 tptp.epsilon_0 _let_70 QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_83)) _let_84 :args (_let_82 false _let_13)) :args (_let_79 true _let_78 false _let_80 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_17 _let_27 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less_or_equal Epsilon tptp.n0) true)) (tptp.g Z)))) :args _let_74)) _let_75 :args (_let_73 false _let_5)) :args (_let_72 true _let_53 true _let_71 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_28 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_66)) _let_67 :args (_let_65 false _let_10)) :args (_let_31 true _let_64 false _let_65)))) (let ((_let_95 (tptp.xs _let_22))) (let ((_let_96 (tptp.absolute (tptp.add _let_95 _let_26)))) (let ((_let_97 (tptp.less_or_equal _let_20 _let_96))) (let ((_let_98 (tptp.less_or_equal _let_24 _let_96))) (let ((_let_99 (not _let_97))) (let ((_let_100 (not _let_32))) (let ((_let_101 (or _let_100 _let_99 _let_98))) (let ((_let_102 (= _let_96 (tptp.minimum _let_96 _let_22)))) (let ((_let_103 (tptp.less_or_equal _let_22 _let_96))) (let ((_let_104 (tptp.minimum _let_22 _let_96))) (let ((_let_105 (= _let_22 _let_104))) (let ((_let_106 (not _let_103))) (let ((_let_107 (or _let_106 _let_105))) (let ((_let_108 (= _let_96 _let_104))) (let ((_let_109 (tptp.less_or_equal _let_96 _let_18))) (let ((_let_110 (tptp.less_or_equal _let_18 _let_96))) (let ((_let_111 (or _let_109 _let_110))) (let ((_let_112 (tptp.absolute (tptp.add (tptp.f _let_95) _let_76)))) (let ((_let_113 (tptp.less_or_equal _let_112 _let_17))) (let ((_let_114 (not _let_109))) (let ((_let_115 (or _let_53 _let_114 _let_113))) (let ((_let_116 (tptp.absolute (tptp.add (tptp.g _let_95) _let_69)))) (let ((_let_117 (tptp.less_or_equal (tptp.add _let_112 _let_116) tptp.epsilon_0))) (let ((_let_118 (tptp.less_or_equal _let_116 _let_17))) (let ((_let_119 (not _let_118))) (let ((_let_120 (not _let_113))) (let ((_let_121 (or _let_120 _let_119 _let_117))) (let ((_let_122 (tptp.less_or_equal _let_96 _let_22))) (let ((_let_123 (not _let_122))) (let ((_let_124 (or _let_53 _let_123 _let_118))) (let ((_let_125 (tptp.less_or_equal _let_22 tptp.n0))) (let ((_let_126 (or _let_125 _let_122))) (let ((_let_127 (not _let_125))) (let ((_let_128 (or _let_53 _let_127))) (let ((_let_129 (_let_7))) (let ((_let_130 (ASSUME :args _let_129))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_53 _let_127 (not _let_128)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.delta_2 Epsilon)))) :args _let_129)) _let_130 :args (_let_128 false _let_7)) :args (_let_127 true _let_53 false _let_128)))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_125 _let_122 (not _let_126)))) _let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_49)) _let_50 :args (_let_126 false _let_2)) :args (_let_122 true _let_125 false _let_126)))) (let ((_let_133 (not _let_117))) (let ((_let_134 (or _let_125 _let_133))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_53 _let_113 _let_114 (not _let_115)))) _let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_117 _let_120 _let_119 (not _let_121)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_134)) :args ((or _let_125 _let_133 (not _let_134)))) _let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_91)) _let_92 :args (_let_134 false _let_1)) :args (_let_133 true _let_125 false _let_134)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_53 _let_123 _let_118 (not _let_124)))) _let_61 _let_132 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_17 _let_95 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less_or_equal (tptp.absolute (tptp.add Z _let_26)) (tptp.delta_2 Epsilon)) false))))) :args _let_74)) _let_75 :args (_let_124 false _let_5)) :args (_let_118 true _let_53 false _let_122 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_112 tptp.epsilon_0 _let_116 QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_83)) _let_84 :args (_let_121 false _let_13)) :args (_let_120 true _let_117 false _let_118 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_17 _let_95 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.less_or_equal Epsilon tptp.n0) true)) (tptp.f Z)))) :args _let_87)) _let_88 :args (_let_115 false _let_6)) :args (_let_114 true _let_53 true _let_113 false _let_115)))) (let ((_let_136 (and _let_21 _let_110))) (let ((_let_137 (ASSUME :args (_let_110)))) (let ((_let_138 (APPLY_UF tptp.less_or_equal))) (let ((_let_139 (ASSUME :args (_let_21)))) (let ((_let_140 (SYMM _let_139))) (let ((_let_141 (_let_9))) (let ((_let_142 (ASSUME :args _let_141))) (let ((_let_143 (or _let_123 _let_102))) (let ((_let_144 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_or_equal X Y)) (= X (tptp.minimum X Y)))))) (let ((_let_145 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_146 (_let_144))) (let ((_let_147 ((not (= (tptp.less_or_equal X Y) false))))) (let ((_let_148 (not _let_25))) (let ((_let_149 (and _let_102 _let_25 _let_98))) (let ((_let_150 (ASSUME :args (_let_98)))) (let ((_let_151 (ASSUME :args (_let_102)))) (let ((_let_152 (ASSUME :args (_let_25)))) (let ((_let_153 (SYMM _let_152))) (let ((_let_154 (SYMM _let_153))) (let ((_let_155 ((tptp.minimum X Y)))) (let ((_let_156 (or _let_123 _let_108))) (let ((_let_157 (not _let_105))) (let ((_let_158 (not _let_21))) (let ((_let_159 (not _let_108))) (let ((_let_160 (or))) (let ((_let_161 (_let_100))) 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(MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_172)) :args ((or _let_171 _let_33 (not _let_172)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_194)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_195 _let_139 _let_196) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_18)) _let_196 :args _let_138) (CONG _let_165 (SYMM _let_196) :args _let_138) (TRUE_INTRO _let_195))) :args (_let_173 _let_21 _let_174))) :args (_let_174 _let_21 _let_173))) :args (true _let_194)) :args ((or (not _let_174) _let_158 _let_170 (not _let_173)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_193)) :args ((or _let_41 _let_174 (not _let_193)))) _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (_let_28 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_146)) _let_145 :args (_let_193 false _let_144)) :args (_let_174 false _let_40 false _let_193)) _let_38 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_179)) :args ((or _let_178 _let_176 _let_173 (not _let_179)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_185))) :args ((or _let_184 _let_177 (not _let_185)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_190)) :args ((or _let_183 _let_189 (not _let_190)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_192))) :args ((or _let_191 _let_32 (not _let_192)))) _let_169 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_187 :args (_let_23 _let_19 _let_23 _let_19 QUANTIFIERS_INST_E_MATCHING _let_188)) :args _let_186)) _let_187 :args (_let_192 false _let_11)) :args (_let_191 true _let_32 false _let_192)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_19 _let_23 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_66)) _let_67 :args (_let_190 false _let_10)) :args (_let_183 true _let_189 false _let_190)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_187 :args (_let_19 _let_23 _let_19 _let_23 QUANTIFIERS_INST_E_MATCHING _let_188)) :args _let_186)) _let_187 :args (_let_185 false _let_11)) :args (_let_177 false _let_183 false _let_185)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_180)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_181 _let_152) (SCOPE (TRUE_ELIM (TRANS (CONG _let_153 (REFL :args (_let_28)) :args _let_138) _let_182)) :args (_let_31 _let_25))) :args (_let_25 _let_31))) :args (true _let_180)) _let_39 _let_94 :args (_let_175 false _let_25 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_142 :args (_let_20 _let_24 _let_28 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_141)) _let_142 :args (_let_179 false _let_9)) :args (_let_173 false _let_177 false _let_175 false _let_179)) :args (_let_170 false _let_174 false _let_21 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (_let_18 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_155)) :args _let_146)) _let_145 :args (_let_172 false _let_144)) :args (_let_33 false _let_170 false _let_172)) _let_169 _let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_30 (not _let_42)))) _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_28 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_42 false _let_43)) :args (_let_30 false _let_40 false _let_42)) _let_39 _let_38 :args (false false _let_33 true _let_32 false _let_31 false _let_30 false _let_25 false _let_21)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_or_equal (tptp.absolute (tptp.add X Y)) (tptp.add (tptp.absolute X) (tptp.absolute Y)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_or_equal (tptp.add (tptp.absolute X) (tptp.absolute Y)) Z)) (tptp.less_or_equal (tptp.absolute (tptp.add X Y)) Z))) _let_16 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_or_equal (tptp.minimum X Y) X)) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_or_equal Z (tptp.minimum X Y))) (tptp.less_or_equal Z X))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_or_equal X Y)) (tptp.less_or_equal X (tptp.minimum X Y)))) _let_15 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_or_equal (tptp.minimum X Y) Y)) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_or_equal Z (tptp.minimum X Y))) (tptp.less_or_equal Z Y))) (forall ((Y $$unsorted) (X $$unsorted)) (or (not (tptp.less_or_equal Y X)) (tptp.less_or_equal Y (tptp.minimum X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.less_or_equal X tptp.n0) (tptp.less_or_equal Y tptp.n0) (not (tptp.less_or_equal (tptp.minimum X Y) tptp.n0)))) _let_14 (forall ((X $$unsorted)) (let ((_let_1 (tptp.half X))) (tptp.less_or_equal (tptp.add _let_1 _let_1) X))) (forall ((X $$unsorted)) (let ((_let_1 (tptp.half X))) (tptp.less_or_equal X (tptp.add _let_1 _let_1)))) _let_13 _let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_or_equal X Y)) (tptp.less_or_equal (tptp.add X Z) (tptp.add Y Z)))) _let_11 _let_10 _let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_or_equal (tptp.add X Y) (tptp.add Y X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add (tptp.add X Y) Z) (tptp.add X (tptp.add Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (tptp.less_or_equal (tptp.add (tptp.add X Y) Z) (tptp.add X (tptp.add Y Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (tptp.less_or_equal (tptp.add X (tptp.add Y Z)) (tptp.add (tptp.add X Y) Z))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.less_or_equal X Y))) _let_8 _let_7 _let_6 _let_5 _let_4 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 138.47/138.68 )
% 138.47/138.69 % SZS output end Proof for ANA003-3
% 138.47/138.70 % cvc5---1.0.5 exiting
% 138.47/138.70 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------