TSTP Solution File: ARI697_1 by cvc5---1.0.5

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ARI697_1 : TPTP v8.1.2. Released v6.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n024.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 17:31:48 EDT 2023

% Result   : Theorem 0.19s 0.55s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : ARI697_1 : TPTP v8.1.2. Released v6.3.0.
% 0.12/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n024.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   : Tue Aug 29 18:36:38 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.19/0.49  %----Proving TF0_ARI
% 0.19/0.55  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.cvw19as8HM/cvc5---1.0.5_27727.p...
% 0.19/0.55  ------- get file name : TPTP file name is ARI697_1
% 0.19/0.55  ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27727.smt2...
% 0.19/0.55  --- Run --finite-model-find --decision=internal at 15...
% 0.19/0.55  % SZS status Theorem for ARI697_1
% 0.19/0.55  % SZS output start Proof for ARI697_1
% 0.19/0.55  (
% 0.19/0.55  (let ((_let_1 (to_real 2))) (let ((_let_2 (to_real tptp.x5))) (let ((_let_3 (/ _let_2 _let_1))) (let ((_let_4 (not (= (to_int (- _let_2 (* (ite (>= _let_3 0.0) (to_int _let_3) (- (to_int (- _let_3)))) _let_1))) 0)))) (let ((_let_5 (* 67 tptp.x4))) (let ((_let_6 (* 11 tptp.x3))) (let ((_let_7 (* 56 tptp.x1))) (let ((_let_8 (= (+ (+ (+ (+ _let_7 (* (- 1) (* 34 tptp.x2))) (* (- 1) _let_6)) _let_5) (* (- 1) (* 98 tptp.x5))) 0))) (let ((_let_9 (* 101 tptp.x5))) (let ((_let_10 (* 3 tptp.x4))) (let ((_let_11 (* 62 tptp.x2))) (let ((_let_12 (* 9 tptp.x1))) (let ((_let_13 (= (+ (+ (+ (+ _let_12 _let_11) (* (- 1) (* 5 tptp.x3))) (* (- 1) _let_10)) _let_9) 0))) (let ((_let_14 (* 5 tptp.x1))) (let ((_let_15 (* 2 tptp.x2))) (let ((_let_16 (= (+ (- (+ (- (* (- 1) _let_15) _let_14) tptp.x3) tptp.x4) tptp.x5) 0))) (let ((_let_17 (+ tptp.x5 (* 2 toInt_3)))) (let ((_let_18 (>= _let_17 1))) (let ((_let_19 (+ tptp.x5 (* (- 2) termITE_2)))) (let ((_let_20 (>= _let_19 1))) (let ((_let_21 (* (- 1) toInt_3))) (let ((_let_22 (= termITE_2 _let_21))) (let ((_let_23 (0))) (let ((_let_24 (* (/ (- 1) 2) tptp.x5))) (let ((_let_25 (- _let_24 toInt_3))) (let ((_let_26 ((and (<= 0.0 _let_25) (< _let_25 1.0))))) (let ((_let_27 (EQ_RESOLVE (THEORY_PREPROCESS_LEMMA :args _let_26) (REWRITE :args _let_26)))) (let ((_let_28 (AND_ELIM _let_27 :args _let_23))) (let ((_let_29 (>= _let_19 0))) (let ((_let_30 (= tptp.x5 (* 2 termITE_2)))) (let ((_let_31 (* (- 1) tptp.x5))) (let ((_let_32 (= tptp.x3 (+ _let_14 _let_15 tptp.x4 _let_31)))) (let ((_let_33 (* (- 5) tptp.x3))) (let ((_let_34 (= _let_10 (+ _let_12 _let_11 _let_33 _let_9)))) (let ((_let_35 (* (- 98) tptp.x5))) (let ((_let_36 (* (- 34) tptp.x2))) (let ((_let_37 (= _let_6 (+ _let_7 _let_36 _let_5 _let_35)))) (let ((_let_38 (+ (* 1477 tptp.x2) (* (- 1554) tptp.x4) (* 2250 tptp.x5) _let_21))) (let ((_let_39 (>= _let_38 1))) (let ((_let_40 (>= tptp.x5 0))) (let ((_let_41 (= termITE_2 toInt_4))) (let ((_let_42 (+ tptp.x5 (* (- 2) toInt_4)))) (let ((_let_43 (>= _let_42 0))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (>= _let_17 (- 1)))) (let ((_let_48 (not _let_39))) (let ((_let_49 (1))) (let ((_let_50 (AND_ELIM _let_27 :args _let_49))) (let ((_let_51 (not _let_37))) (let ((_let_52 (not _let_34))) (let ((_let_53 (not _let_32))) (let ((_let_54 (not _let_47))) (let ((_let_55 (false))) (let ((_let_56 (ASSUME :args (_let_39)))) (let ((_let_57 (MACRO_SR_PRED_TRANSFORM _let_46 :args ((= (+ _let_7 _let_36 (* (- 11) tptp.x3) _let_5 _let_35) 0))))) (let ((_let_58 (MACRO_SR_PRED_TRANSFORM _let_45 :args ((= (+ _let_12 _let_11 _let_33 (* (- 3) tptp.x4) _let_9) 0))))) (let ((_let_59 (MACRO_SR_PRED_TRANSFORM _let_44 :args ((= (+ _let_14 _let_15 (* (- 1) tptp.x3) tptp.x4 _let_31) 0))))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_56 _let_46 _let_45 _let_44 _let_50) :args (_let_32 _let_34 _let_37 _let_47 _let_39)) (SCOPE (CONTRA _let_50 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_50 _let_59 _let_58 _let_57 _let_56 :args ((- 1.0) (/ 1267 2) (/ (- 7) 2) (- 56.0) (- 2.0))) :args _let_55) :args (_let_47)) :args ((< _let_17 (- 1)))) :args (_let_54))) :args (_let_39 _let_37 _let_34 _let_32 _let_47)) :args ((not (and _let_32 _let_34 _let_37 _let_47 _let_39)) SB_LITERAL))) :args ((or _let_54 _let_53 _let_52 _let_51 _let_48))) _let_50 _let_46 _let_45 _let_44 :args (_let_48 false _let_47 false _let_37 false _let_34 false _let_32)))) (let ((_let_61 (or))) (let ((_let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_39))))) (let ((_let_63 (not _let_29))) (let ((_let_64 (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_29))))) (let ((_let_65 (not _let_22))) (let ((_let_66 (_let_65))) (let ((_let_67 (REFL :args _let_66))) (let ((_let_68 (REFL :args (_let_51)))) (let ((_let_69 (REFL :args (_let_52)))) (let ((_let_70 (REFL :args (_let_53)))) (let ((_let_71 (< _let_19 0))) (let ((_let_72 (_let_29))) (let ((_let_73 (_let_71))) (let ((_let_74 (ASSUME :args (_let_48)))) (let ((_let_75 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_74 :args ((< _let_38 1)))))) (let ((_let_76 (+ termITE_2 toInt_3))) (let ((_let_77 (= _let_76 0))) (let ((_let_78 (ASSUME :args (_let_22)))) (let ((_let_79 (MACRO_SR_PRED_TRANSFORM _let_78 :args (_let_77)))) (let ((_let_80 (_let_63))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 (MACRO_SR_PRED_TRANSFORM _let_81 :args _let_73))) (let ((_let_83 (=))) (let ((_let_84 (*))) (let ((_let_85 (to_int _let_24))) (let ((_let_86 (REFL :args (termITE_2)))) (let ((_let_87 (* (/ 1 2) tptp.x5))) (let ((_let_88 (to_int _let_87))) (let ((_let_89 (* (- 1) _let_85))) (let ((_let_90 (ite _let_40 _let_88 _let_89))) (let ((_let_91 (MACRO_SR_PRED_INTRO :args ((= _let_90 termITE_2))))) (let ((_let_92 (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (REMOVE_TERM_FORMULA_AXIOM :args (_let_90)) _let_91 :args ((ite _let_40 (= termITE_2 _let_88) (= termITE_2 _let_89)))) (CONG (REFL :args (_let_40)) (CONG _let_86 (THEORY_PREPROCESS :args ((= _let_88 toInt_4))) :args _let_83) (CONG _let_86 (CONG (REFL :args ((- 1))) (THEORY_PREPROCESS :args ((= _let_85 toInt_3))) :args _let_84) :args _let_83) :args (ite))))) (let ((_let_93 (ITE_ELIM2 _let_92))) (let ((_let_94 (REORDERING (ITE_ELIM1 _let_92) :args ((or _let_41 (not _let_40)))))) (let ((_let_95 (- _let_87 toInt_4))) (let ((_let_96 ((and (<= 0.0 _let_95) (< _let_95 1.0))))) (let ((_let_97 (EQ_RESOLVE (THEORY_PREPROCESS_LEMMA :args _let_96) (REWRITE :args _let_96)))) (let ((_let_98 (AND_ELIM _let_97 :args _let_23))) (let ((_let_99 (not _let_43))) (let ((_let_100 (REFL :args (_let_99)))) (let ((_let_101 (not _let_41))) (let ((_let_102 (REFL :args (_let_101)))) (let ((_let_103 (= (+ termITE_2 (* (- 1) toInt_4)) 0))) (let ((_let_104 ((not _let_103)))) (let ((_let_105 (_let_103))) (let ((_let_106 (ASSUME :args (_let_41)))) (let ((_let_107 (MACRO_SR_PRED_TRANSFORM _let_106 :args _let_105))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_4)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT)) (CONG (CONG (REFL :args (tptp.x5)) (CONG (REFL :args (2)) _let_91 :args _let_84) :args _let_83) :args (not)))))) (let ((_let_109 (_let_20))) (let ((_let_110 (not _let_30))) (let ((_let_111 (and _let_110 _let_29))) (let ((_let_112 (_let_110 _let_29))) (let ((_let_113 (ASSUME :args _let_72))) (let ((_let_114 (>= _let_42 2))) (let ((_let_115 (>= _let_76 1))) (let ((_let_116 (AND_ELIM _let_97 :args _let_49))) (let ((_let_117 (not _let_115))) (let ((_let_118 (not _let_114))) (let ((_let_119 (< _let_42 2))) (let ((_let_120 (_let_119))) (let ((_let_121 (_let_117))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 (ASSUME :args _let_66))) (let ((_let_124 (MACRO_SR_PRED_TRANSFORM _let_116 :args _let_120))) (let ((_let_125 (not _let_18))) (let ((_let_126 (MACRO_SR_PRED_INTRO :args ((= (not _let_125) _let_18))))) (let ((_let_127 (< _let_17 1))) (let ((_let_128 ((not _let_127)))) (let ((_let_129 (_let_18))) (let ((_let_130 (_let_127))) (let ((_let_131 (ASSUME :args (_let_115)))) (let ((_let_132 (MACRO_SR_PRED_TRANSFORM _let_28 :args _let_130))) (let ((_let_133 (not _let_20))) (let ((_let_134 (ASSUME :args _let_109))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_134 _let_78 _let_28) :args (_let_22 _let_125 _let_20)) (SCOPE (CONTRA _let_132 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_132 _let_79 _let_134 :args (1.0 (- 2.0) (- 1.0))) :args _let_55) :args _let_130) :args _let_129) :args _let_128)) :args (_let_20 _let_22 _let_125)) :args ((not (and _let_22 _let_125 _let_20)) SB_LITERAL))) (CONG _let_67 _let_126 (REFL :args (_let_133)) :args _let_61)) :args ((or _let_18 _let_65 _let_133))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_106 _let_131 _let_98 _let_28) :args (_let_41 _let_125 _let_43 _let_115)) (SCOPE (CONTRA _let_132 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_132 _let_98 _let_131 _let_107 :args (1.0 (- 1.0) (- 2.0) 2.0)) :args _let_55) :args _let_130) :args _let_129) :args _let_128)) :args (_let_41 _let_115 _let_43 _let_125)) :args ((not (and _let_41 _let_125 _let_43 _let_115)) SB_LITERAL))) (CONG _let_102 _let_126 _let_100 (REFL :args _let_121) :args _let_61)) :args ((or _let_18 _let_101 _let_99 _let_117))) _let_98 _let_28 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_106 _let_123 _let_122 _let_74 _let_45 _let_44 _let_46 _let_116) :args (_let_32 _let_34 _let_37 _let_41 _let_118 _let_65 _let_48 _let_117)) (SCOPE (CONTRA _let_124 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_124 _let_57 _let_59 _let_58 _let_75 (INT_TIGHT_UB (ARITH_TRICHOTOMY (MACRO_SR_PRED_TRANSFORM _let_123 :args ((not _let_77))) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_122 :args ((< _let_76 1)))) :args ((< _let_76 0)))) _let_107 :args (1.0 56.0 (/ (- 1267) 2) (/ 7 2) 2.0 2.0 (- 2.0))) :args _let_55) :args _let_120) :args (_let_114)) :args ((not _let_119)))) :args (_let_41 _let_65 _let_117 _let_48 _let_34 _let_32 _let_37 _let_118)) :args ((not (and _let_32 _let_34 _let_37 _let_41 _let_118 _let_65 _let_48 _let_117)) SB_LITERAL))) (CONG _let_70 _let_69 _let_68 _let_102 (MACRO_SR_PRED_INTRO :args ((= (not _let_118) _let_114))) (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_22))) _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_117) _let_115))) :args _let_61)) :args ((or _let_22 _let_114 _let_53 _let_52 _let_51 _let_101 _let_39 _let_115))) _let_60 _let_116 _let_46 _let_45 _let_44 _let_94 _let_93 :args (_let_22 false _let_43 true _let_18 false _let_115 true _let_39 true _let_114 false _let_37 false _let_34 false _let_32 false _let_41 false _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_111)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_108 _let_113) (SCOPE (INT_TIGHT_LB (ARITH_TRICHOTOMY (MACRO_SR_PRED_TRANSFORM _let_108 :args ((not (= _let_19 0)))) _let_113 :args ((> _let_19 0)))) :args _let_112)) :args _let_112)) :args (true _let_111)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_30))) (REFL :args _let_80) (REFL :args _let_109) :args _let_61)) :args ((or _let_30 _let_20 _let_63))) _let_108 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_81 _let_98 _let_106) :args (_let_41 _let_43 _let_63)) (SCOPE (CONTRA _let_107 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_105) _let_98 _let_82 :args (1.0 (/ (- 1) 2) (/ 1 2))) :args _let_55) :args _let_105) :args _let_104) :args _let_104)) :args (_let_63 _let_43 _let_41)) :args ((not (and _let_41 _let_43 _let_63)) SB_LITERAL))) (CONG _let_102 _let_100 _let_64 :args _let_61)) _let_98 _let_94 _let_93 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_74 _let_78 _let_46 _let_44 _let_45 _let_81) :args (_let_32 _let_34 _let_37 _let_22 _let_63 _let_48)) (SCOPE (CONTRA _let_82 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_73) _let_58 _let_59 _let_57 _let_79 _let_75 :args (1.0 (/ 7 2) (/ (- 1267) 2) 56.0 2.0 2.0)) :args _let_55) :args _let_73) :args _let_72) :args ((not _let_71)))) :args (_let_48 _let_22 _let_37 _let_32 _let_34 _let_63)) :args ((not (and _let_32 _let_34 _let_37 _let_22 _let_63 _let_48)) SB_LITERAL))) (CONG _let_70 _let_69 _let_68 _let_67 _let_64 _let_62 :args _let_61)) _let_60 _let_46 _let_45 _let_44 :args (_let_29 false _let_43 false _let_41 false _let_40 true _let_22 true _let_39 false _let_37 false _let_34 false _let_32)) :args (_let_20 true _let_30 false _let_29)) _let_28 :args (false false _let_22 false _let_20 true _let_18)) :args (_let_16 _let_13 _let_8 _let_4 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.56  )
% 0.19/0.56  % SZS output end Proof for ARI697_1
% 0.19/0.56  % cvc5---1.0.5 exiting
% 0.19/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------