TSTP Solution File: SWW609_2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWW609_2 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 : Fri Sep 1 00:21:41 EDT 2023
% Result : Theorem 0.60s 1.00s
% Output : Proof 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW609_2 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.36 % Computer : n026.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sun Aug 27 20:02:04 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_ARI
% 0.60/1.00 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.phAFGqs5C9/cvc5---1.0.5_20486.p...
% 0.60/1.00 ------- get file name : TPTP file name is SWW609_2
% 0.60/1.00 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_20486.smt2...
% 0.60/1.00 --- Run --finite-model-find --decision=internal at 15...
% 0.60/1.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.60/1.00 % SZS status Theorem for SWW609_2
% 0.60/1.00 % SZS output start Proof for SWW609_2
% 0.60/1.00 (
% 0.60/1.00 (let ((_let_1 (not (forall ((X Int)) (=> (<= 0 X) (=> (not (= X 0)) (=> (not (<= X 3)) (forall ((Z Int) (Y Int)) (let ((_let_1 (+ Y 1))) (let ((_let_2 (< X (* _let_1 _let_1)))) (let ((_let_3 (+ Z 1))) (=> (and (< 0 Z) (< 0 Y) (= Z (tptp.div1 (+ (tptp.div1 X Y) Y) 2)) _let_2 (< X (* _let_3 _let_3))) (=> (not (< Z Y)) (and (<= (* Y Y) X) _let_2)))))))))))))) (let ((_let_2 (forall ((X Int) (Y Int)) (=> (not (= Y 0)) (<= (tptp.abs1 (* (tptp.div1 X Y) Y)) (tptp.abs1 X)))))) (let ((_let_3 (forall ((X Int) (Y Int)) (=> (and (<= 0 X) (not (= Y 0))) (<= 0 (tptp.mod1 X Y)))))) (let ((_let_4 (forall ((X Int) (Y Int)) (=> (and (<= X 0) (< 0 Y)) (<= (tptp.div1 X Y) 0))))) (let ((_let_5 (forall ((X Int) (Y Int)) (=> (and (<= 0 X) (< 0 Y)) (<= 0 (tptp.div1 X Y)))))) (let ((_let_6 (forall ((X Int) (Y Int)) (=> (not (= Y 0)) (= X (+ (* Y (tptp.div1 X Y)) (tptp.mod1 X Y))))))) (let ((_let_7 (forall ((X Int)) (<= 0 (tptp.abs1 X))))) (let ((_let_8 (forall ((X Int)) (let ((_let_1 (tptp.abs1 X))) (let ((_let_2 (<= 0 X))) (and (=> _let_2 (= _let_1 X)) (=> (not _let_2) (= _let_1 (- X))))))))) (let ((_let_9 (tptp.div1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (>= _let_9 1))) (let ((_let_11 (= _let_9 0))) (let ((_let_12 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_9))) (let ((_let_13 (tptp.div1 _let_12 2))) (let ((_let_14 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (* (- 1) _let_13)))) (let ((_let_15 (>= _let_14 1))) (let ((_let_16 (tptp.mod1 _let_12 2))) (let ((_let_17 (* 2 _let_13))) (let ((_let_18 (* (- 1) _let_9))) (let ((_let_19 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (+ _let_18 _let_17 _let_16)))) (let ((_let_20 (>= _let_16 0))) (let ((_let_21 (>= _let_12 2))) (let ((_let_22 (* SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_23 (* (- 1) _let_22))) (let ((_let_24 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (* (- 2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_23) 1))) (let ((_let_25 (not _let_24))) (let ((_let_26 (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23))) (let ((_let_27 (>= _let_26 0))) (let ((_let_28 (and _let_27 _let_25))) (let ((_let_29 (* (- 2) _let_13))) (let ((_let_30 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 1))) (let ((_let_31 (not _let_30))) (let ((_let_32 (>= _let_13 1))) (let ((_let_33 (not _let_32))) (let ((_let_34 (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 0))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 0) (not (>= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 4)) _let_33 _let_31 _let_24 (>= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_29 (* (- 1) (* _let_13 _let_13))) 1) _let_15 _let_28))) (let ((_let_37 (not _let_15))) (let ((_let_38 (forall ((X Int) (BOUND_VARIABLE_1334 Int)) (let ((_let_1 (* (- 1) (* BOUND_VARIABLE_1334 BOUND_VARIABLE_1334)))) (let ((_let_2 (>= (+ X (* (- 2) BOUND_VARIABLE_1334) _let_1) 1))) (let ((_let_3 (tptp.div1 (+ BOUND_VARIABLE_1334 (tptp.div1 X BOUND_VARIABLE_1334)) 2))) (or (not (>= X 0)) (= X 0) (not (>= X 4)) (not (>= _let_3 1)) (not (>= BOUND_VARIABLE_1334 1)) _let_2 (>= (+ X (* (- 2) _let_3) (* (- 1) (* _let_3 _let_3))) 1) (>= (+ BOUND_VARIABLE_1334 (* (- 1) _let_3)) 1) (and (>= (+ X _let_1) 0) (not _let_2))))))))) (let ((_let_39 (not _let_36))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (or))) (let ((_let_42 (not _let_38))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_40) :args (_let_42))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_38))) (REFL :args (_let_39)) :args _let_41)) _let_40 :args (_let_39 true _let_38)))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_36 7)) _let_43 :args (_let_37 true _let_36)))) (let ((_let_45 (forall ((X Int) (Y Int)) (or (= Y 0) (= X (+ (tptp.mod1 X Y) (* Y (tptp.div1 X Y)))))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (_let_45))) (let ((_let_48 ((tptp.div1 X Y)))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_12 2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_47))) _let_46 :args (_let_19 false _let_45)))) (let ((_let_50 (>= _let_12 0))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_20))) (let ((_let_53 (forall ((X Int) (Y Int)) (or (not (>= X 0)) (= Y 0) (>= (tptp.mod1 X Y) 0))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_53))) (let ((_let_56 ((tptp.mod1 X Y)))) (let ((_let_57 (>= _let_12 1))) (let ((_let_58 (or _let_57 _let_33))) (let ((_let_59 (forall ((X Int) (Y Int)) (or (>= X 1) (not (>= Y 1)) (not (>= (tptp.div1 X Y) 1)))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (REFL :args (_let_36)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 3)) (CONG _let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_41)) :args ((or _let_32 _let_36))) _let_43 :args (_let_32 true _let_36)))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_33 _let_57 (not _let_58)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_12 2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.div1 X Y)))) :args (_let_59)))) _let_60 :args (_let_58 false _let_59)) :args (_let_57 false _let_32 false _let_58)))) (let ((_let_64 (not _let_57))) (let ((_let_65 (_let_57))) (let ((_let_66 ((< _let_12 0)))) (let ((_let_67 (false))) (let ((_let_68 (1.0 (- 1.0)))) (let ((_let_69 (ASSUME :args _let_65))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_69 (SCOPE (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_66) _let_69 :args _let_68) :args _let_67) :args _let_66) :args (_let_50)) :args _let_65)) :args _let_65)) :args ((or _let_50 _let_64))) _let_63 :args (_let_50 false _let_57)))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_20 (not _let_52)))) _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_12 2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_56)) :args _let_55))) _let_54 :args (_let_52 false _let_53)) :args (_let_20 false _let_50 false _let_52)))) (let ((_let_72 (not _let_20))) (let ((_let_73 (not _let_19))) (let ((_let_74 (not _let_21))) (let ((_let_75 (_let_20))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 (ASSUME :args (_let_19)))) (let ((_let_78 (MACRO_SR_PRED_TRANSFORM _let_77 :args ((= (+ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_9 _let_29 (* (- 1) _let_16)) 0))))) (let ((_let_79 (_let_74))) (let ((_let_80 (_let_72))) (let ((_let_81 (not _let_10))) (let ((_let_82 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_15))))) (let ((_let_83 (ASSUME :args (_let_37)))) (let ((_let_84 (MACRO_SR_PRED_TRANSFORM _let_83 :args ((< _let_14 1))))) (let ((_let_85 (ASSUME :args (_let_21)))) (let ((_let_86 (ASSUME :args (_let_81)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_83 _let_77 _let_85 _let_86 _let_76) :args (_let_37 _let_19 _let_81 _let_21 _let_20)) (SCOPE (CONTRA _let_76 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_76 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_86 :args ((< _let_9 1)))) _let_85 _let_78 _let_84 :args ((- 1.0) 2.0 (- 1.0) (- 1.0) 2.0)) :args _let_67) :args _let_75) :args ((< _let_16 0))) :args _let_80)) :args (_let_37 _let_19 _let_21 _let_81 _let_20)) :args ((not (and _let_37 _let_19 _let_81 _let_21 _let_20)) SB_LITERAL))) (CONG _let_82 (REFL :args (_let_73)) (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_10))) (REFL :args _let_79) (REFL :args _let_80) :args _let_41)) :args ((or _let_15 _let_10 _let_73 _let_74 _let_72))) (MACRO_RESOLUTION_TRUST (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_79) :args ((< _let_12 2))) _let_78 _let_76 (ASSUME :args (_let_32)) :args (1.0 (- 1.0) (- 1.0) (- 2.0))) :args _let_67) :args (_let_19 _let_20 _let_32 _let_74))) :args ((or _let_73 _let_72 _let_33 _let_21))) :args ((or _let_33 _let_21 _let_73 _let_72))) _let_62 _let_49 _let_71 :args (_let_21 false _let_32 false _let_19 false _let_20)) _let_71 _let_49 _let_44 :args (_let_10 false _let_21 false _let_20 false _let_19 true _let_15)))) (let ((_let_88 (>= _let_22 0))) (let ((_let_89 (* SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_9))) (let ((_let_90 (* (- 1) _let_89))) (let ((_let_91 (+ _let_22 _let_90))) (let ((_let_92 (>= _let_91 1))) (let ((_let_93 (+ _let_22 _let_89))) (let ((_let_94 (>= _let_93 0))) (let ((_let_95 (not _let_94))) (let ((_let_96 (ite _let_88 _let_95 _let_92))) (let ((_let_97 (= _let_22 _let_90))) (let ((_let_98 (not _let_27))) (let ((_let_99 (_let_98))) (let ((_let_100 (_let_28))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_100) (CONG (REFL :args _let_100) (REFL :args _let_99) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_41)) :args ((or _let_24 _let_28 _let_98))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_36 5)) :args ((or _let_25 _let_36))) _let_43 :args (_let_25 true _let_36)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_36 8)) _let_43 :args ((not _let_28) true _let_36)) :args (_let_98 true _let_24 true _let_28)))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG _let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_41)) :args ((or _let_34 _let_36))) _let_43 :args (_let_34 true _let_36)))) (let ((_let_103 (not _let_88))) (let ((_let_104 (MACRO_SR_PRED_INTRO :args ((= (not _let_98) _let_27))))) (let ((_let_105 (REFL :args (_let_35)))) (let ((_let_106 (< _let_22 0))) (let ((_let_107 (_let_106))) (let ((_let_108 (ASSUME :args _let_99))) (let ((_let_109 (MACRO_SR_PRED_TRANSFORM _let_108 :args ((< _let_26 0))))) (let ((_let_110 (ASSUME :args (_let_34)))) (let ((_let_111 (ASSUME :args (_let_103)))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_108 _let_110 _let_111) :args (_let_34 _let_98 _let_103)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_111 :args _let_107) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_107) _let_110 _let_109 :args (1.0 (- 1.0) 1.0)) :args _let_67) :args _let_107) :args (_let_88)) :args ((not _let_106)))) :args (_let_98 _let_34 _let_103)) :args ((not (and _let_34 _let_98 _let_103)) SB_LITERAL))) (CONG _let_105 _let_104 (MACRO_SR_PRED_INTRO :args ((= (not _let_103) _let_88))) :args _let_41)) _let_102 _let_101 :args (_let_88 false _let_34 true _let_27)))) (let ((_let_113 (not _let_96))) (let ((_let_114 (>= _let_93 1))) (let ((_let_115 (tptp.abs1 _let_89))) (let ((_let_116 (>= _let_115 0))) (let ((_let_117 (= _let_115 _let_89))) (let ((_let_118 (forall ((X Int)) (>= (tptp.abs1 X) 0)))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (>= _let_89 0))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_121 _let_117))) (let ((_let_123 (forall ((BOUND_VARIABLE_966 Int)) (or (not (>= BOUND_VARIABLE_966 0)) (= BOUND_VARIABLE_966 (tptp.abs1 BOUND_VARIABLE_966)))))) (let ((_let_124 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args (0)))) (let ((_let_125 (_let_123))) (let ((_let_126 ((tptp.abs1 BOUND_VARIABLE_966)))) (let ((_let_127 (ASSUME :args _let_125))) (let ((_let_128 (>= _let_89 1))) (let ((_let_129 (and _let_30 _let_10))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 4)) (CONG _let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_41)) :args ((or _let_30 _let_36))) _let_43 :args (_let_30 true _let_36)))) (let ((_let_131 (> _let_9 0))) (let ((_let_132 (> SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 0))) (let ((_let_133 (_let_128))) (let ((_let_134 ((< _let_89 0)))) (let ((_let_135 (ASSUME :args _let_133))) (let ((_let_136 (not _let_114))) (let ((_let_137 ((not _let_116)))) (let ((_let_138 (_let_116))) (let ((_let_139 (ASSUME :args (_let_117)))) (let ((_let_140 (ASSUME :args (_let_136)))) (let ((_let_141 (INT_TIGHT_UB _let_109))) (let ((_let_142 (ASSUME :args _let_138))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_139 _let_140 _let_108 _let_110 _let_142) :args (_let_34 _let_98 _let_117 _let_116 _let_136)) (SCOPE (CONTRA _let_142 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_142 _let_110 _let_141 (MACRO_SR_PRED_TRANSFORM _let_140 :args ((< _let_93 1))) (MACRO_SR_PRED_TRANSFORM _let_139 :args ((= (+ _let_115 _let_90) 0))) :args ((- 1.0) (- 1.0) 1.0 1.0 1.0)) :args _let_67) :args _let_138) :args ((< _let_115 0))) :args _let_137)) :args (_let_117 _let_136 _let_98 _let_34 _let_116)) :args ((not (and _let_34 _let_98 _let_117 _let_116 _let_136)) SB_LITERAL))) (CONG _let_105 _let_104 (REFL :args ((not _let_117))) (REFL :args _let_137) (MACRO_SR_PRED_INTRO :args ((= (not _let_136) _let_114))) :args _let_41)) _let_102 _let_101 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_121 _let_117 (not _let_122)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_135 (SCOPE (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_134) _let_135 :args _let_68) :args _let_67) :args _let_134) :args (_let_120)) :args _let_133)) :args _let_133)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ARITH_MULT_SIGN :args (_let_132 _let_131 _let_89)) (REWRITE :args ((=> (and _let_132 _let_131) (> _let_89 0)))))) :args ((or _let_128 (not _let_129)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_129)) :args ((or _let_31 _let_81 _let_129))) _let_130 _let_87 :args (_let_129 false _let_30 false _let_10)) :args (_let_128 false _let_129)) :args (_let_120 false _let_128)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_127 :args (_let_89 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_125))) _let_124 :args (_let_122 false _let_123)) :args (_let_117 false _let_120 false _let_122)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_89 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.abs1 X)))) :args (_let_118))) _let_119 :args (_let_116 false _let_118)) :args (_let_114 false _let_34 true _let_27 false _let_117 false _let_116)))) (let ((_let_144 (_let_114))) (let ((_let_145 ((< _let_93 0)))) (let ((_let_146 (ASSUME :args _let_144))) (let ((_let_147 (tptp.mod1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_148 (>= _let_147 0))) (let ((_let_149 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (+ _let_147 _let_89)))) (let ((_let_150 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 0))) (let ((_let_151 (or _let_35 _let_150 _let_148))) (let ((_let_152 (not _let_150))) (let ((_let_153 (_let_150))) (let ((_let_154 (ASSUME :args (_let_30)))) (let ((_let_155 (ASSUME :args _let_153))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_155 _let_154) :args (_let_30 _let_150)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_155 :args _let_153) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_155 _let_154 :args _let_68) :args 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(_let_94 false _let_114)) _let_112 :args (_let_113 false _let_94 false _let_88)) _let_112 :args (_let_11 true _let_97 false _let_92 true _let_96 false _let_88)) _let_87 :args (false false _let_11 false _let_10)) :args ((forall ((A tptp.ty)) (tptp.sort1 A (tptp.witness1 A))) (forall ((A tptp.ty) (X tptp.bool1) (X1 tptp.uni) (X2 tptp.uni)) (tptp.sort1 A (tptp.match_bool1 A X X1 X2))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort1 A Z) (= (tptp.match_bool1 A tptp.true1 Z Z1) Z))) (forall ((A tptp.ty) (Z tptp.uni) (Z1 tptp.uni)) (=> (tptp.sort1 A Z1) (= (tptp.match_bool1 A tptp.false1 Z Z1) Z1))) (not (= tptp.true1 tptp.false1)) (forall ((U tptp.bool1)) (or (= U tptp.true1) (= U tptp.false1))) (forall ((U tptp.tuple02)) (= U tptp.tuple03)) (forall ((X Int) (Y Int) (Z Int)) (=> (<= X Y) (=> (<= 0 Z) (<= (* X Z) (* Y Z))))) _let_8 (forall ((X Int) (Y Int)) (= (<= (tptp.abs1 X) Y) (and (<= (- Y) X) (<= X Y)))) _let_7 _let_6 (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.div1 X Y))) (=> (and (<= 0 X) (< 0 Y)) (and (<= 0 _let_1) (<= _let_1 X))))) (forall ((X Int) (Y Int)) (let ((_let_1 (tptp.abs1 Y))) (let ((_let_2 (tptp.mod1 X Y))) (=> (not (= Y 0)) (and (< (- _let_1) _let_2) (< _let_2 _let_1)))))) _let_5 _let_4 _let_3 (forall ((X Int) (Y Int)) (=> (and (<= X 0) (not (= Y 0))) (<= (tptp.mod1 X Y) 0))) _let_2 (forall ((X Int)) (= (tptp.div1 X 1) X)) (forall ((X Int)) (= (tptp.mod1 X 1) 0)) (forall ((X Int) (Y Int)) (=> (and (<= 0 X) (< X Y)) (= (tptp.div1 X Y) 0))) (forall ((X Int) (Y Int)) (=> (and (<= 0 X) (< X Y)) (= (tptp.mod1 X Y) X))) (forall ((X Int) (Y Int) (Z Int)) (=> (and (< 0 X) (<= 0 Y) (<= 0 Z)) (= (tptp.div1 (+ (* X Y) Z) X) (+ Y (tptp.div1 Z X))))) (forall ((X Int) (Y Int) (Z Int)) (=> (and (< 0 X) (<= 0 Y) (<= 0 Z)) (= (tptp.mod1 (+ (* X Y) Z) X) (tptp.mod1 Z X)))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 (tptp.ref A) (tptp.mk_ref A X))) (forall ((A tptp.ty) (X tptp.uni)) (tptp.sort1 A (tptp.contents A X))) (forall ((A tptp.ty) (U tptp.uni)) (=> (tptp.sort1 A U) (= (tptp.contents A (tptp.mk_ref A U)) U))) (forall ((A tptp.ty) (U tptp.uni)) (=> (tptp.sort1 (tptp.ref A) U) (= U (tptp.mk_ref A (tptp.contents A U))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.60/1.00 )
% 0.60/1.00 % SZS output end Proof for SWW609_2
% 0.60/1.00 % cvc5---1.0.5 exiting
% 0.60/1.01 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------