TSTP Solution File: NUM862+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM862+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 10:48:36 EDT 2023
% Result : Theorem 1.16s 1.44s
% Output : Proof 1.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM862+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 17:03:07 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 1.16/1.44 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.xZ0R8Rfhod/cvc5---1.0.5_4163.p...
% 1.16/1.44 ------- get file name : TPTP file name is NUM862+1
% 1.16/1.44 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4163.smt2...
% 1.16/1.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.16/1.44 % SZS status Theorem for NUM862+1
% 1.16/1.44 % SZS output start Proof for NUM862+1
% 1.16/1.44 (
% 1.16/1.44 (let ((_let_1 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.minsol_model_ub X Y Z) (tptp.minsol_model_max X Y Z))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (= (tptp.minsol_model_ub X Y N) (and (tptp.model_ub X Y N) (forall ((Z $$unsorted)) (=> (tptp.model_ub X Y Z) (tptp.lesseq N Z)))))))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (= (tptp.minsol_model_max X Y N) (and (tptp.model_max X Y N) (forall ((Z $$unsorted)) (=> (tptp.model_max X Y Z) (tptp.lesseq N Z)))))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (= (tptp.model_ub X Y N) (exists ((Z $$unsorted)) (and (tptp.ub X Y Z) (tptp.lesseq (tptp.sum tptp.c (tptp.summation Z)) N))))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (= (tptp.model_max X Y N) (tptp.lesseq (tptp.sum tptp.c (tptp.summation (tptp.max X Y))) N))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.ub X Y Z) (and (tptp.lesseq X Z) (tptp.lesseq Y Z)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (= (tptp.max X Y) Y) (not (tptp.lesseq X Y)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (or (= (tptp.max X Y) X) (not (tptp.lesseq Y X)))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.lesseq X Y) (tptp.lesseq (tptp.summation X) (tptp.summation Y)))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.lesseq X Y) (tptp.lesseq (tptp.sum Z X) (tptp.sum Z Y)))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.lesseq X Y) (tptp.lesseq Y X))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.lesseq X Y) (tptp.lesseq Y X)) (= X Y))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.lesseq X Y) (tptp.lesseq Y Z)) (tptp.lesseq X Z))))) (let ((_let_15 (forall ((X $$unsorted)) (tptp.lesseq X X)))) (let ((_let_16 (tptp.summation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_17 (tptp.sum tptp.c _let_16))) (let ((_let_18 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.max SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_17)))) (let ((_let_19 (tptp.max SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_20 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_19))) (let ((_let_21 (tptp.max SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_22 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_23 (tptp.summation _let_21))) (let ((_let_24 (tptp.sum tptp.c _let_23))) (let ((_let_25 (tptp.max SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_24))) (let ((_let_26 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_25))) (let ((_let_27 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_28 (tptp.lesseq _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_18 _let_29))) (let ((_let_31 (forall ((X $$unsorted) (Y $$unsorted)) (or (= X (tptp.max X Y)) (not (tptp.lesseq Y X)))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (_let_31))) (let ((_let_34 ((not (= (tptp.lesseq Y X) false))))) (let ((_let_35 (tptp.ub SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_29))) (let ((_let_38 (forall ((Z $$unsorted)) (or (not (tptp.ub SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Z)) (not (tptp.lesseq (tptp.sum tptp.c (tptp.summation Z)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_39 (not _let_37))) (let ((_let_40 (not _let_38))) (let ((_let_41 (tptp.model_ub SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_42 (= _let_41 _let_40))) (let ((_let_43 (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (= (tptp.model_ub X Y N) (not (forall ((Z $$unsorted)) (or (not (tptp.ub X Y Z)) (not (tptp.lesseq (tptp.sum tptp.c (tptp.summation Z)) N))))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_43))) (let ((_let_46 ((tptp.model_ub X Y N)))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_42 false _let_43)))) (let ((_let_48 (forall ((Z $$unsorted)) (or (not (tptp.model_ub SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Z)) (tptp.lesseq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Z))))) (let ((_let_49 (and _let_41 _let_48))) (let ((_let_50 (tptp.minsol_model_ub SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_51 (= _let_50 _let_49))) (let ((_let_52 (tptp.lesseq _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_53 (not _let_52))) (let ((_let_54 (tptp.ub SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_21))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_53))) (let ((_let_57 (tptp.minsol_model_max SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_58 (= _let_50 _let_57))) (let ((_let_59 (forall ((Z $$unsorted)) (or (not (tptp.model_max SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Z)) (tptp.lesseq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Z))))) (let ((_let_60 (tptp.model_max SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_61 (and _let_60 _let_59))) (let ((_let_62 (= _let_57 _let_61))) (let ((_let_63 (= _let_60 _let_52))) (let ((_let_64 (not _let_49))) (let ((_let_65 (not _let_42))) (let ((_let_66 (or))) (let ((_let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_38))))) (let ((_let_68 (_let_41))) (let ((_let_69 (_let_42))) (let ((_let_70 (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (= (tptp.minsol_model_ub X Y N) (and (tptp.model_ub X Y N) (forall ((Z $$unsorted)) (or (not (tptp.model_ub X Y Z)) (tptp.lesseq N Z)))))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (_let_70))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.minsol_model_ub X Y N)))) :args _let_72)) _let_71 :args (_let_51 false _let_70)))) (let ((_let_74 (not _let_50))) (let ((_let_75 (REORDERING (CNF_EQUIV_POS1 :args (_let_51)) :args ((or _let_74 _let_49 (not _let_51)))))) (let ((_let_76 (_let_38))) (let ((_let_77 (not _let_58))) (let ((_let_78 (_let_2))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_79) :args _let_78)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_77)) :args _let_66)) _let_79 :args (_let_77 true _let_1)))) (let ((_let_81 (_let_58))) (let ((_let_82 (REORDERING (CNF_EQUIV_NEG1 :args _let_81) :args ((or _let_50 _let_57 _let_58))))) (let ((_let_83 (tptp.lesseq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_21))) (let ((_let_84 (tptp.lesseq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_85 (and _let_84 _let_83))) (let ((_let_86 (= _let_54 _let_85))) (let ((_let_87 (tptp.lesseq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_22 _let_88))) (let ((_let_90 (tptp.lesseq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_91 (or _let_90 _let_87))) (let ((_let_92 (not _let_90))) (let ((_let_93 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_21))) (let ((_let_94 (or _let_93 _let_92))) (let ((_let_95 (tptp.lesseq _let_21 _let_21))) (let ((_let_96 (_let_7))) (let ((_let_97 (ASSUME :args _let_96))) (let ((_let_98 ((tptp.ub X Y Z)))) (let ((_let_99 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_98)) :args _let_96)))) (let ((_let_100 (REORDERING (CNF_EQUIV_POS2 :args (_let_86)) :args ((or _let_54 (not _let_85) (not _let_86)))))) (let ((_let_101 (and _let_95 _let_84))) (let ((_let_102 (tptp.ub _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_103 (= _let_102 _let_101))) (let ((_let_104 (not _let_22))) (let ((_let_105 (_let_15))) (let ((_let_106 (ASSUME :args _let_105))) (let ((_let_107 ((not (= (tptp.lesseq X X) true))))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_107)) :args _let_105)) _let_106 :args (_let_95 false _let_15)))) (let ((_let_109 (and _let_22 _let_95))) (let ((_let_110 (ASSUME :args (_let_95)))) (let ((_let_111 (TRUE_INTRO _let_110))) (let ((_let_112 (APPLY_UF tptp.lesseq))) (let ((_let_113 (REFL :args (_let_21)))) (let ((_let_114 (ASSUME :args (_let_22)))) (let ((_let_115 (SYMM _let_114))) (let ((_let_116 (SYMM _let_115))) (let ((_let_117 (not _let_84))) (let ((_let_118 (REORDERING (CNF_AND_NEG :args (_let_85)) :args ((or _let_117 _let_85 (not _let_83)))))) (let ((_let_119 (and _let_22 _let_87))) (let ((_let_120 (ASSUME :args (_let_87)))) (let ((_let_121 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_122 (_let_12))) (let ((_let_123 (ASSUME :args _let_122))) (let ((_let_124 ((not (= (tptp.lesseq X Y) true))))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_124)) :args _let_122)) _let_123 :args (_let_91 false _let_12)))) (let ((_let_126 (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_87 _let_90 (not _let_91)))))) (let ((_let_127 (forall ((X $$unsorted) (Y $$unsorted)) (or (= Y (tptp.max X Y)) (not (tptp.lesseq X Y)))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (_let_127))) (let ((_let_130 ((tptp.max X Y)))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_130)) :args _let_129)) _let_128 :args (_let_94 false _let_127)))) (let ((_let_132 (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_93 _let_92 (not _let_94)))))) (let ((_let_133 (not _let_102))) (let ((_let_134 (not _let_93))) (let ((_let_135 (REFL :args (_let_134)))) (let ((_let_136 (REFL :args (_let_104)))) (let ((_let_137 (ASSUME :args (_let_55)))) (let ((_let_138 (ASSUME :args (_let_93)))) (let ((_let_139 (SYMM _let_138))) (let ((_let_140 (ASSUME :args (_let_102)))) (let ((_let_141 ((tptp.max X Y)))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_141)) :args _let_33)) _let_32 :args (_let_89 false _let_31)))) (let ((_let_143 (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_22 _let_88 (not _let_89)))))) (let ((_let_144 (and _let_93 _let_90))) (let ((_let_145 (ASSUME :args (_let_90)))) (let ((_let_146 (SYMM _let_139))) (let ((_let_147 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_148 (and _let_93 _let_95))) (let ((_let_149 (MACRO_RESOLUTION_TRUST _let_118 (RESOLUTION (CNF_AND_NEG :args (_let_148)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_110 _let_138) (SCOPE (TRUE_ELIM (TRANS (CONG _let_146 _let_139 :args _let_112) (CONG _let_113 _let_146 :args _let_112) _let_111)) :args (_let_95 _let_93))) :args (_let_93 _let_95))) :args (true _let_148)) _let_108 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_144)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_145 _let_138) (SCOPE (TRUE_ELIM (TRANS (CONG _let_147 (SYMM _let_146) :args _let_112) (TRUE_INTRO _let_145))) :args (_let_90 _let_93))) :args (_let_93 _let_90))) :args (true _let_144)) :args ((or _let_92 _let_134 _let_84))) _let_132 _let_131 _let_126 _let_125 _let_143 _let_142 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_137 _let_138 _let_114 _let_140) :args (_let_22 _let_93 _let_102 _let_55)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_140)) (CONG _let_115 (TRANS _let_116 _let_139) _let_113 :args (APPLY_UF tptp.ub)) (FALSE_INTRO _let_137))) :args (_let_55 _let_93 _let_22 _let_102)) :args ((not (and _let_22 _let_93 _let_102 _let_55)) SB_LITERAL))) (CONG _let_136 _let_135 (REFL :args (_let_133)) (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_54))) :args _let_66)) :args ((or _let_104 _let_134 _let_54 _let_133))) _let_132 _let_131 _let_126 _let_125 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_119)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_120 _let_114) (SCOPE (TRUE_ELIM (TRANS (CONG _let_121 _let_115 :args _let_112) (TRUE_INTRO _let_120))) :args (_let_87 _let_22))) :args (_let_22 _let_87))) :args (true _let_119)) :args ((or _let_88 _let_104 _let_83))) (REORDERING (CNF_EQUIV_POS2 :args (_let_103)) :args ((or _let_102 (not _let_101) (not _let_103)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21 QUANTIFIERS_INST_E_MATCHING ((tptp.lesseq X Z) (tptp.lesseq Y Z)))) :args _let_96)) _let_97 :args (_let_103 false _let_7)) _let_118 (REORDERING (CNF_AND_NEG :args (_let_101)) :args ((or (not _let_95) _let_101 _let_117))) _let_108 (RESOLUTION (CNF_AND_NEG :args (_let_109)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_110 _let_114) (SCOPE (TRUE_ELIM (TRANS (CONG _let_116 _let_113 :args _let_112) _let_111)) :args (_let_95 _let_22))) :args (_let_22 _let_95))) :args (true _let_109)) _let_108 _let_100 _let_99 _let_97 :args ((or _let_104 _let_54) false _let_93 false _let_94 false _let_90 false _let_91 true _let_87 false _let_102 false _let_103 true _let_83 false _let_101 false _let_95 false _let_84 false _let_95 true _let_85 false _let_86 false _let_7)) _let_100 (MACRO_RESOLUTION_TRUST _let_99 _let_97 :args (_let_86 false _let_7)) :args (_let_54 false _let_83 false _let_95 false _let_84 false _let_93 false _let_94 false _let_90 false _let_91 true _let_87 false _let_89 true _let_22 true _let_85 false _let_86)))) (let ((_let_150 (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (= (tptp.minsol_model_max X Y N) (and (tptp.model_max X Y N) 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true _let_201 false _let_202 true _let_199 false _let_198 false _let_41 false _let_196 false _let_197 false _let_192 false _let_194 false _let_28 false _let_188 false _let_189 false _let_184 false _let_185 false _let_191 false _let_187 false _let_59 false _let_61 false _let_62 false _let_57 true _let_58 false _let_182 false _let_183 true _let_50 false _let_52 false _let_63 false _let_60)) _let_131 :args (_let_92 true _let_93 false _let_94)) _let_125 :args (_let_87 true _let_90 false _let_91)) _let_142 :args (_let_22 false _let_87 false _let_89)))) (let ((_let_382 (= _let_24 _let_25))) (let ((_let_383 (not _let_26))) (let ((_let_384 (or _let_382 _let_195))) (let ((_let_385 (and _let_22 _let_218))) (let ((_let_386 (ASSUME :args (_let_218)))) (let ((_let_387 (MACRO_RESOLUTION_TRUST _let_242 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_385)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_386 _let_114) (SCOPE (TRUE_ELIM (TRANS (CONG _let_115 _let_374 :args _let_112) (TRUE_INTRO _let_386))) :args (_let_218 _let_22))) :args (_let_22 _let_218))) :args (true _let_385)) _let_381 _let_378 _let_377 _let_380 _let_379 (REORDERING (CNF_AND_POS :args (_let_219 0)) :args ((or _let_218 _let_365))) _let_376 _let_375 _let_364 _let_363 _let_362 _let_361 _let_359 _let_371 _let_357 _let_356 _let_355 _let_354 _let_353 _let_351 _let_349 _let_348 _let_342 _let_165 _let_347 _let_335 _let_334 _let_333 _let_332 _let_169 _let_331 _let_330 _let_325 _let_324 _let_310 _let_309 _let_306 _let_155 _let_152 _let_82 _let_80 _let_305 _let_304 _let_303 _let_163 _let_159 :args (_let_161 false _let_22 true _let_222 false _let_227 true _let_226 false _let_228 false _let_218 true _let_223 false _let_225 false _let_219 false _let_220 false _let_212 false _let_214 true _let_216 true _let_221 true _let_207 false _let_209 true _let_203 false _let_204 true _let_206 true _let_200 true _let_201 false _let_202 false _let_198 false _let_41 true _let_199 false _let_196 false _let_197 false _let_192 false _let_194 false _let_28 false _let_188 false _let_189 false _let_184 false _let_185 false _let_191 false _let_187 false _let_59 false _let_61 false _let_62 false _let_57 true _let_58 false _let_182 false _let_183 true _let_50 false _let_52 false _let_63)) _let_159 :args (_let_53 true _let_60 false _let_63)))) (let ((_let_388 (MACRO_RESOLUTION_TRUST _let_244 _let_387 _let_243 :args (_let_188 true _let_52 false _let_229)))) (let ((_let_389 (and _let_326 _let_382 _let_26))) (let ((_let_390 (_let_326 _let_382 _let_26))) (let ((_let_391 (ASSUME :args (_let_326)))) (let ((_let_392 (ASSUME :args (_let_382)))) (let ((_let_393 (ASSUME :args (_let_26)))) (let ((_let_394 (tptp.lesseq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_395 (not _let_394))) (let ((_let_396 (or _let_27 _let_395))) (let ((_let_397 (and _let_22 _let_234))) (let ((_let_398 (and _let_22 _let_18 _let_20 _let_27))) (let ((_let_399 (ASSUME :args (_let_27)))) (let ((_let_400 (ASSUME :args (_let_18)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_398)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_114 _let_399 _let_281 _let_400) (SCOPE (TRANS (SYMM (SYMM _let_400)) (CONG _let_278 (CONG _let_283 (CONG (TRANS _let_282 (SYMM _let_399) _let_116) :args _let_280) :args _let_279) :args (APPLY_UF tptp.max))) :args (_let_22 _let_27 _let_20 _let_18))) :args (_let_22 _let_18 _let_20 _let_27))) :args (true _let_398)) :args ((or _let_104 (not _let_18) (not _let_20) _let_26 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_396)) :args ((or _let_395 _let_27 (not _let_396)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_397)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_264 _let_114) (SCOPE (TRUE_ELIM (TRANS (CONG _let_266 _let_116 :args _let_112) _let_265)) :args (_let_234 _let_22))) :args (_let_22 _let_234))) :args (true _let_397)) :args ((or _let_104 _let_394 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(true _let_389)) :args ((or _let_52 _let_329 (not _let_382) _let_383))) _let_387 _let_328 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_384)) :args ((or _let_195 _let_382 (not _let_384)))) _let_388 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_173)) :args _let_129)) _let_128 :args (_let_384 false _let_127)) :args (_let_382 false _let_188 false _let_384)) :args (_let_383 true _let_52 false _let_326 false _let_382)) _let_381 _let_180 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_18 (not _let_30)))) _let_169 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_33)) _let_32 :args (_let_30 false _let_31)) :args (_let_18 false _let_28 false _let_30)) :args (false false _let_27 true _let_26 false _let_22 false _let_20 false _let_18)) :args (_let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.16/1.45 )
% 1.16/1.45 % SZS output end Proof for NUM862+1
% 1.16/1.45 % cvc5---1.0.5 exiting
% 1.16/1.45 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------