%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : NUM860_1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n027.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 10:48:33 EDT 2023

% Result   : Theorem 45.56s 45.92s
% Output   : Proof 45.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NUM860_1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n027.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 09:48:33 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_ARI
% 45.56/45.92  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.UR5oK0tsfv/cvc5---1.0.5_2482.p...
% 45.56/45.92  ------- get file name : TPTP file name is NUM860_1
% 45.56/45.92  ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2482.smt2...
% 45.56/45.92  --- Run --finite-model-find --decision=internal at 15...
% 45.56/45.92  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 45.56/45.92  --- Run --no-e-matching --full-saturate-quant at 15...
% 45.56/45.92  --- Run --cegqi-all --purify-triggers --full-saturate-quant at 15...
% 45.56/45.92  --- Run --macros-quant --macros-quant-mode=all --nl-ext-tplanes --full-saturate-quant...
% 45.56/45.92  % SZS status Theorem for NUM860_1
% 45.56/45.92  % SZS output start Proof for NUM860_1
% 45.56/45.92  (
% 45.56/45.92  (let ((_let_1 (not (forall ((X Int) (Y Int) (Z Int)) (= (tptp.minsol_model_ub X Y Z) (tptp.minsol_model_max X Y Z)))))) (let ((_let_2 (forall ((X Int) (Y Int) (N Int)) (= (tptp.minsol_model_ub X Y N) (and (tptp.model_ub X Y N) (forall ((Z Int)) (=> (tptp.model_ub X Y Z) (<= N Z)))))))) (let ((_let_3 (forall ((X Int) (Y Int) (N Int)) (= (tptp.minsol_model_max X Y N) (and (tptp.model_max X Y N) (forall ((Z Int)) (=> (tptp.model_max X Y Z) (<= N Z)))))))) (let ((_let_4 (forall ((X Int) (Y Int) (N Int)) (= (tptp.model_ub X Y N) (exists ((Z Int)) (and (tptp.ub X Y Z) (<= (tptp.summation Z) N))))))) (let ((_let_5 (forall ((X Int) (Y Int) (N Int)) (= (tptp.model_max X Y N) (<= (tptp.summation (tptp.max X Y)) N))))) (let ((_let_6 (forall ((X Int) (Y Int) (Z Int)) (= (tptp.ub X Y Z) (and (<= X Z) (<= Y Z)))))) (let ((_let_7 (forall ((X Int) (Y Int)) (or (= (tptp.max X Y) Y) (not (<= X Y)))))) (let ((_let_8 (forall ((X Int) (Y Int)) (or (= (tptp.max X Y) X) (not (<= Y X)))))) (let ((_let_9 (forall ((X Int) (Y Int)) (= (<= X Y) (<= (tptp.summation X) (tptp.summation Y)))))) (let ((_let_10 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_11 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_10))) (let ((_let_12 (>= _let_11 1))) (let ((_let_13 (tptp.max SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (* (- 1) _let_13))) (let ((_let_15 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_14))) (let ((_let_16 (>= _let_15 0))) (let ((_let_17 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13))) (let ((_let_18 (tptp.summation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_19 (* (- 1) _let_18))) (let ((_let_20 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_19) 0))) (let ((_let_21 (not _let_20))) (let ((_let_22 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10))) (let ((_let_23 (>= _let_22 1))) (let ((_let_24 (or _let_23 _let_12 _let_21))) (let ((_let_25 (not _let_12))) (let ((_let_26 (forall ((Z Int)) (or (not (>= (+ Z (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) 0)) (not (>= (+ Z (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) 0)) (not (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (* (- 1) (tptp.summation Z))) 0)))))) (let ((_let_27 (not _let_24))) (let ((_let_28 (forall ((Z Int) (BOUND_VARIABLE_974 Int)) (or (>= (+ Z (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) 0) (not (>= (+ BOUND_VARIABLE_974 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) 0)) (not (>= (+ BOUND_VARIABLE_974 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) 0)) (not (>= (+ Z (* (- 1) (tptp.summation BOUND_VARIABLE_974))) 0)))))) (let ((_let_29 (not _let_26))) (let ((_let_30 (and _let_29 _let_28))) (let ((_let_31 (forall ((Z Int)) (or (not (>= (+ Z (* (- 1) (tptp.summation (tptp.max SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) 0)) (>= (+ Z (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) 0))))) (let ((_let_32 (tptp.summation _let_13))) (let ((_let_33 (* (- 1) _let_32))) (let ((_let_34 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_33))) (let ((_let_35 (>= _let_34 0))) (let ((_let_36 (and _let_35 _let_31))) (let ((_let_37 (= _let_36 _let_30))) (let ((_let_38 (forall ((X Int) (Y Int) (Z Int)) (= (and (>= (+ Z (* (- 1) (tptp.summation (tptp.max X Y)))) 0) (forall ((Z Int)) (or (not (>= (+ Z (* (- 1) (tptp.summation (tptp.max X Y)))) 0)) (>= (+ Z (* (- 1) Z)) 0)))) (and (not (forall ((Z Int)) (or (not (>= (+ Z (* (- 1) X)) 0)) (not (>= (+ Z (* (- 1) Y)) 0)) (not (>= (+ Z (* (- 1) (tptp.summation Z))) 0))))) (forall ((Z Int) (BOUND_VARIABLE_974 Int)) (let ((_let_1 (* (- 1) BOUND_VARIABLE_974))) (or (>= (+ Z (* (- 1) Z)) 0) (>= (+ X _let_1) 1) (>= (+ Y _let_1) 1) (not (>= (+ Z (* (- 1) (tptp.summation BOUND_VARIABLE_974))) 0)))))))))) (let ((_let_39 (not _let_37))) (let ((_let_40 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.ub (lambda ((BOUND_VARIABLE_775 Int) (BOUND_VARIABLE_776 Int) (BOUND_VARIABLE_777 Int)) (let ((_let_1 (* (- 1) BOUND_VARIABLE_777))) (and (not (>= (+ BOUND_VARIABLE_775 _let_1) 1)) (not (>= (+ BOUND_VARIABLE_776 _let_1) 1)))))))))) (let ((_let_41 (TRUST_SUBS_EQ (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.model_max (lambda ((BOUND_VARIABLE_791 Int) (BOUND_VARIABLE_792 Int) (BOUND_VARIABLE_793 Int)) (>= (+ BOUND_VARIABLE_793 (* (- 1) (tptp.summation (tptp.max BOUND_VARIABLE_791 BOUND_VARIABLE_792)))) 0))))))) (let ((_let_42 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_41 _let_40) :args ((forall ((X Int) (Y Int) (N Int)) (= (tptp.model_ub X Y N) (not (forall ((Z Int)) (or (not (tptp.ub X Y Z)) (not (>= (+ N (* (- 1) (tptp.summation Z))) 0))))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.model_ub (lambda ((BOUND_VARIABLE_832 Int) (BOUND_VARIABLE_833 Int) (BOUND_VARIABLE_834 Int)) (not (forall ((Z Int)) (let ((_let_1 (* (- 1) Z))) (or (>= (+ BOUND_VARIABLE_832 _let_1) 1) (>= (+ BOUND_VARIABLE_833 _let_1) 1) (not (>= (+ BOUND_VARIABLE_834 (* (- 1) (tptp.summation Z))) 0)))))))))))) (let ((_let_43 (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_42 _let_41 _let_40) :args ((forall ((X Int) (Y Int) (N Int)) (= (tptp.minsol_model_max X Y N) (and (tptp.model_max X Y N) (forall ((Z Int)) (or (not (tptp.model_max X Y Z)) (not (>= (+ N (* (- 1) Z)) 1))))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.minsol_model_max (lambda ((BOUND_VARIABLE_890 Int) (BOUND_VARIABLE_891 Int) (BOUND_VARIABLE_892 Int)) (and (>= (+ BOUND_VARIABLE_892 (* (- 1) (tptp.summation (tptp.max BOUND_VARIABLE_890 BOUND_VARIABLE_891)))) 0) (forall ((Z Int)) (or (not (>= (+ Z (* (- 1) (tptp.summation (tptp.max BOUND_VARIABLE_890 BOUND_VARIABLE_891)))) 0)) (not (>= (+ BOUND_VARIABLE_892 (* (- 1) Z)) 1))))))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO (AND_INTRO (TRUST_SUBS_EQ (EQ_RESOLVE (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_43 _let_42 _let_41 _let_40) :args ((forall ((X Int) (Y Int) (N Int)) (= (tptp.minsol_model_ub X Y N) (and (tptp.model_ub X Y N) (forall ((Z Int)) (or (not (tptp.model_ub X Y Z)) (not (>= (+ N (* (- 1) Z)) 1))))))) SB_DEFAULT SBA_FIXPOINT))) :args ((= tptp.minsol_model_ub (lambda ((BOUND_VARIABLE_1011 Int) (BOUND_VARIABLE_1012 Int) (BOUND_VARIABLE_1013 Int)) (and (not (forall ((Z Int)) (or (not (>= (+ Z (* (- 1) BOUND_VARIABLE_1011)) 0)) (not (>= (+ Z (* (- 1) BOUND_VARIABLE_1012)) 0)) (not (>= (+ BOUND_VARIABLE_1013 (* (- 1) (tptp.summation Z))) 0))))) (forall ((Z Int) (BOUND_VARIABLE_974 Int)) (let ((_let_1 (* (- 1) BOUND_VARIABLE_974))) (or (not (>= (+ BOUND_VARIABLE_1013 (* (- 1) Z)) 1)) (>= (+ BOUND_VARIABLE_1011 _let_1) 1) (>= (+ BOUND_VARIABLE_1012 _let_1) 1) (not (>= (+ Z (* (- 1) (tptp.summation BOUND_VARIABLE_974))) 0)))))))))) _let_43 _let_42 _let_41 _let_40) :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (or))) (let ((_let_46 (not _let_38))) (let ((_let_47 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_44) :args (_let_46)) (REWRITE :args ((=> _let_46 (not (= _let_36 (and _let_29 (forall ((Z Int) (BOUND_VARIABLE_974 Int)) (let ((_let_1 (* (- 1) BOUND_VARIABLE_974))) (or (>= (+ Z (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) 0) (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1) 1) (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_1) 1) (not (>= (+ Z (* (- 1) (tptp.summation BOUND_VARIABLE_974))) 0))))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_38))) (REFL :args (_let_39)) :args _let_45)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST _let_47 _let_44 :args (_let_39 true _let_38)))) (let ((_let_49 (not _let_36))) (let ((_let_50 (not _let_35))) (let ((_let_51 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))) (let ((_let_52 (>= _let_51 1))) (let ((_let_53 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14))) (let ((_let_54 (>= _let_53 1))) (let ((_let_55 (or _let_54 _let_52 _let_50))) (let ((_let_56 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_57 (* (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_58 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_57))) (let ((_let_59 (>= _let_58 0))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_56 _let_60))) (let ((_let_62 (>= _let_58 1))) (let ((_let_63 (or _let_17 _let_62))) (let ((_let_64 (>= _let_53 0))) (let ((_let_65 (not _let_55))) (let ((_let_66 (>= _let_51 0))) (let ((_let_67 (not _let_56))) (let ((_let_68 (not _let_54))) (let ((_let_69 (< _let_53 1))) (let ((_let_70 (_let_54))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (false))) (let ((_let_73 ((- 1.0) 1.0))) (let ((_let_74 (ASSUME :args (_let_56)))) (let ((_let_75 (MACRO_SR_PRED_TRANSFORM _let_74 :args ((= _let_53 0))))) (let ((_let_76 (REORDERING (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_71 _let_74) :args (_let_56 _let_54)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_71 _let_75 :args _let_73) :args _let_72) :args _let_70) :args (_let_69)) (MACRO_SR_PRED_TRANSFORM _let_71 :args ((not _let_69)))) :args (_let_54 _let_56)) :args ((not (and _let_56 _let_54)) SB_LITERAL))) :args ((or _let_68 _let_67))))) (let ((_let_77 (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_50 _let_54 _let_52 _let_65))))) (let ((_let_78 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13))) (let ((_let_79 (<= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13))) (let ((_let_80 ((or _let_79 _let_78)))) (let ((_let_81 (not _let_78))) (let ((_let_82 (not _let_79))) (let ((_let_83 ((- 1) 1))) (let ((_let_84 (not _let_17))) (let ((_let_85 (not _let_52))) (let ((_let_86 (< _let_51 1))) (let ((_let_87 (_let_52))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (= _let_51 0))) (let ((_let_90 (_let_89))) (let ((_let_91 (ASSUME :args (_let_17)))) (let ((_let_92 (MACRO_SR_PRED_TRANSFORM _let_91 :args _let_90))) (let ((_let_93 (REORDERING (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_88 _let_91) :args (_let_17 _let_52)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_88 _let_92 :args _let_73) :args _let_72) :args _let_87) :args (_let_86)) (MACRO_SR_PRED_TRANSFORM _let_88 :args ((not _let_86)))) :args (_let_52 _let_17)) :args ((not (and _let_17 _let_52)) SB_LITERAL))) :args ((or _let_85 _let_84))))) (let ((_let_94 (not _let_62))) (let ((_let_95 ((- 1.0) 1.0 (- 1.0)))) (let ((_let_96 (_let_62))) (let ((_let_97 (ASSUME :args _let_96))) (let ((_let_98 (_let_66))) (let ((_let_99 (forall ((X Int) (Y Int)) (or (= Y (tptp.max X Y)) (>= (+ X (* (- 1) Y)) 1))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.max X Y)))) :args (_let_99))) _let_100 :args (_let_63 false _let_99)))) (let ((_let_102 (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_17 _let_62 (not _let_63)))))) (let ((_let_103 (forall ((X Int) (Y Int)) (or (= X (tptp.max X Y)) (not (>= (+ X (* (- 1) Y)) 0)))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.max X Y)))) :args (_let_103))) _let_104 :args (_let_61 false _let_103)))) (let ((_let_106 (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_56 _let_60 (not _let_61)))))) (let ((_let_107 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_108 (<= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_109 ((or _let_108 _let_107)))) (let ((_let_110 (not _let_107))) (let ((_let_111 (not _let_108))) (let ((_let_112 (REORDERING (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_111)) :args ((> SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_110)) :args ((< SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) :args _let_83) :args _let_72) :args (_let_111 _let_110))) :args _let_109) (REWRITE :args _let_109)) :args ((or _let_59 _let_94))))) (let ((_let_113 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_114 (<= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_115 ((or _let_114 _let_113)))) (let ((_let_116 (not _let_113))) (let ((_let_117 (not 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(INSTANTIATE (ASSUME :args _let_138) :args ((+ (- 1) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) QUANTIFIERS_INST_CEGQI)) :args _let_138))))) (let ((_let_140 (REORDERING (CNF_AND_POS :args (_let_36 1)) :args ((or _let_31 _let_49))))) (let ((_let_141 (_let_37))) (let ((_let_142 (REORDERING (CNF_EQUIV_NEG1 :args _let_141) :args ((or _let_36 _let_30 _let_37))))) (let ((_let_143 (not _let_30))) (let ((_let_144 (REORDERING (CNF_AND_POS :args (_let_30 1)) :args ((or _let_28 _let_143))))) (let ((_let_145 (_let_28))) (let ((_let_146 (ASSUME :args _let_145))) (let ((_let_147 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_146 :args (_let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_145))))) (let ((_let_148 (>= (+ _let_32 (* (- 1) (tptp.summation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) 0))) (let ((_let_149 (not _let_148))) (let ((_let_150 (or _let_135 _let_60 _let_149))) (let ((_let_151 (= _let_68 _let_148))) (let ((_let_152 (and _let_56 _let_17))) (let ((_let_153 (= 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:args (_let_21)))) (let ((_let_243 (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_35))))) (let ((_let_244 (= _let_32 _let_18))) (let ((_let_245 (= _let_229 0))) (let ((_let_246 ((not _let_245)))) (let ((_let_247 (_let_245))) (let ((_let_248 (ASSUME :args (_let_238)))) (let ((_let_249 (not _let_23))) (let ((_let_250 (>= _let_229 0))) (let ((_let_251 (not _let_239))) (let ((_let_252 (= _let_251 _let_250))) (let ((_let_253 (not _let_250))) (let ((_let_254 (< _let_229 0))) (let ((_let_255 (_let_254))) (let ((_let_256 (ASSUME :args (_let_253)))) (let ((_let_257 (<= _let_11 0))) (let ((_let_258 (_let_257))) (let ((_let_259 (ASSUME :args (_let_233)))) (let ((_let_260 (ASSUME :args (_let_25)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_91 _let_259 _let_260) :args (_let_17 _let_25 _let_233)) (SCOPE (CONTRA (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_260 :args ((< _let_11 1)))) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_258) (MACRO_SR_PRED_TRANSFORM _let_259 :args ((< _let_15 0))) _let_92 :args _let_120) :args _let_72) :args _let_258) :args ((> _let_11 0))) :args ((not _let_257)))) :args (_let_17 _let_233 _let_25)) :args ((not (and _let_17 _let_25 _let_233)) SB_LITERAL))) (CONG _let_118 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_12))) (MACRO_SR_PRED_INTRO :args ((= (not _let_233) _let_16))) :args _let_45)) (MACRO_RESOLUTION_TRUST _let_102 (MACRO_RESOLUTION_TRUST _let_112 (MACRO_RESOLUTION_TRUST _let_106 (MACRO_RESOLUTION_TRUST (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_251)) :args ((< _let_15 1))) _let_75 (INT_TIGHT_UB (ARITH_TRICHOTOMY (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_249)) :args ((< _let_22 1)))) (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_241) :args ((not (= _let_22 0)))) :args ((< _let_22 0)))) :args _let_220) :args _let_72) :args (_let_56 _let_249 _let_240 _let_251))) :args ((or _let_67 _let_23 _let_238 _let_239))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_252)) :args ((or _let_251 _let_253 (not _let_252)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_235 _let_236 _let_256) :args (_let_50 _let_20 _let_253)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_256 :args _let_255) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_255) _let_237 _let_235 :args _let_120) :args _let_72) :args _let_255) :args (_let_250)) :args ((not _let_254)))) :args (_let_20 _let_50 _let_253)) :args ((not (and _let_50 _let_20 _let_253)) SB_LITERAL))) (CONG _let_243 _let_242 (MACRO_SR_PRED_INTRO :args ((= (not _let_253) _let_250))) :args _let_45)) _let_226 _let_234 :args (_let_250 true _let_35 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_13 QUANTIFIERS_INST_E_MATCHING _let_175)) :args _let_172))) _let_171 :args (_let_252 false _let_170)) :args (_let_251 false _let_250 false _let_252)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_24 0)) :args ((or _let_249 _let_24))) _let_228 :args (_let_249 true _let_24)) (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_235 _let_236 (MODUS_PONENS (AND_INTRO _let_248 _let_74) (SCOPE (TRANS _let_167 (CONG (SYMM (SYMM _let_248)) :args _let_166)) :args (_let_238 _let_56)))) :args (_let_50 _let_56 _let_20 _let_238)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_244)) :args _let_247) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_247) _let_237 _let_235 :args _let_120) :args _let_72) :args _let_247) :args _let_246) :args _let_246)) :args (_let_20 _let_50 _let_244)) :args ((not (and _let_50 _let_56 _let_20 _let_238)) SB_LITERAL))) (CONG _let_243 _let_159 _let_242 (REFL :args _let_241) :args _let_45)) _let_234 _let_226 :args (_let_67 true _let_239 true _let_23 true _let_238 false _let_20 true _let_35)) _let_105 :args (_let_60 true _let_56 false _let_61)) :args (_let_94 true _let_59)) _let_101 :args (_let_17 true _let_62 false _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_232)) :args ((or _let_231 _let_233 (not _let_232)))) (MACRO_RESOLUTION_TRUST (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_231)) :args ((< _let_229 1))) (INT_TIGHT_UB _let_237) _let_235 :args _let_120) :args _let_72) :args (_let_50 _let_20 _let_231))) :args ((or _let_35 _let_21 _let_230))) _let_226 _let_234 :args (_let_230 true _let_35 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING _let_175)) :args _let_172))) _let_171 :args (_let_232 false _let_170)) :args (_let_233 false _let_230 false _let_232)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_24 1)) :args ((or _let_25 _let_24))) _let_228 :args (_let_25 true _let_24)) :args (false false _let_17 true _let_16 true _let_12)) :args (_let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 45.56/45.93  )
% 45.56/45.93  % SZS output end Proof for NUM860_1
% 45.56/45.93  % cvc5---1.0.5 exiting
% 45.56/45.93  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------