TSTP Solution File: ARI596_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI596_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 17:31:26 EDT 2023
% Result : Theorem 30.41s 30.60s
% Output : Proof 30.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI596_1 : TPTP v8.1.2. Released v5.1.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 18:41:51 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_ARI
% 30.41/30.60 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.JzJEh9ovZF/cvc5---1.0.5_6357.p...
% 30.41/30.60 ------- get file name : TPTP file name is ARI596_1
% 30.41/30.60 ------- cvc5-tfa : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6357.smt2...
% 30.41/30.60 --- Run --finite-model-find --decision=internal at 15...
% 30.41/30.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 30.41/30.60 --- Run --no-e-matching --full-saturate-quant at 15...
% 30.41/30.60 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 15...
% 30.41/30.60 % SZS status Theorem for ARI596_1
% 30.41/30.60 % SZS output start Proof for ARI596_1
% 30.41/30.60 (
% 30.41/30.60 (let ((_let_1 (tptp.p tptp.a))) (let ((_let_2 (not (=> (and _let_1 (tptp.p (+ tptp.a 1)) (tptp.p (- tptp.a 1))) (exists ((X Int)) (tptp.p (* 3 X))))))) (let ((_let_3 (+ tptp.a (* (- 3) intDiv_7)))) (let ((_let_4 (>= _let_3 3))) (let ((_let_5 (+ tptp.a (* (- 3) intDiv_8)))) (let ((_let_6 (>= _let_5 0))) (let ((_let_7 (+ intDiv_7 (* (- 1) intDiv_8)))) (let ((_let_8 (>= _let_7 0))) (let ((_let_9 (1))) (let ((_let_10 (* 3 intDiv_7))) (let ((_let_11 ((and (<= _let_10 tptp.a) (< tptp.a (* 3 (+ intDiv_7 1))))))) (let ((_let_12 (EQ_RESOLVE (THEORY_PREPROCESS_LEMMA :args _let_11) (REWRITE :args _let_11)))) (let ((_let_13 (AND_ELIM _let_12 :args _let_9))) (let ((_let_14 (* 3 intDiv_8))) (let ((_let_15 (= tptp.a (+ (- 1) _let_14)))) (let ((_let_16 (>= _let_5 (- 1)))) (let ((_let_17 (tptp.p _let_14))) (let ((_let_18 (+ 1 tptp.a))) (let ((_let_19 (tptp.p _let_18))) (let ((_let_20 (not _let_15))) (let ((_let_21 (forall ((X Int)) (not (tptp.p (* 3 X)))))) (let ((_let_22 (not _let_17))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_23)))) (let ((_let_25 (=>))) (let ((_let_26 (not))) (let ((_let_27 (APPLY_UF tptp.p))) (let ((_let_28 (*))) (let ((_let_29 (div _let_18 3))) (let ((_let_30 (REFL :args (3)))) (let ((_let_31 (_let_21))) (let ((_let_32 (REFL :args _let_31))) (let ((_let_33 ((not (= (tptp.p (* 3 X)) false))))) (let ((_let_34 (ASSUME :args _let_31))) (let ((_let_35 (NOT_IMPLIES_ELIM1 _let_23))) (let ((_let_36 (or))) (let ((_let_37 (_let_20))) (let ((_let_38 (= _let_18 _let_14))) (let ((_let_39 (ASSUME :args (_let_19)))) (let ((_let_40 (_let_38))) (let ((_let_41 (ASSUME :args (_let_22)))) (let ((_let_42 (0))) (let ((_let_43 ((and (<= _let_14 _let_18) (< _let_18 (* 3 (+ intDiv_8 1))))))) (let ((_let_44 (EQ_RESOLVE (THEORY_PREPROCESS_LEMMA :args _let_43) (REWRITE :args _let_43)))) (let ((_let_45 (AND_ELIM _let_44 :args _let_42))) (let ((_let_46 (_let_6))) (let ((_let_47 (and _let_16 _let_20))) (let ((_let_48 (_let_16 _let_20))) (let ((_let_49 (ASSUME :args _let_37))) (let ((_let_50 (>= _let_3 1))) (let ((_let_51 (= tptp.a (+ 1 _let_10)))) (let ((_let_52 (>= _let_5 2))) (let ((_let_53 (not _let_8))) (let ((_let_54 (= tptp.a _let_10))) (let ((_let_55 (>= _let_3 0))) (let ((_let_56 (tptp.p _let_10))) (let ((_let_57 (not _let_54))) (let ((_let_58 (not _let_56))) (let ((_let_59 (div tptp.a 3))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_34 :args (_let_59 QUANTIFIERS_INST_E_MATCHING_VAR_GEN _let_33)) :args _let_31) (CONG _let_32 (CONG (CONG (CONG _let_30 (THEORY_PREPROCESS :args ((= _let_59 intDiv_7))) :args _let_28) :args _let_27) :args _let_26) :args _let_25))) _let_24 :args (_let_58 false _let_21)))) (let ((_let_61 (_let_57))) (let ((_let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_56))))) (let ((_let_63 (ASSUME :args (_let_1)))) (let ((_let_64 (ASSUME :args (_let_54)))) (let ((_let_65 (ASSUME :args (_let_58)))) (let ((_let_66 (SYMM (FALSE_INTRO _let_65)))) (let ((_let_67 (AND_ELIM _let_12 :args _let_42))) (let ((_let_68 (not _let_55))) (let ((_let_69 (_let_50))) (let ((_let_70 (and _let_55 _let_57))) (let ((_let_71 (_let_55 _let_57))) (let ((_let_72 (ASSUME :args _let_61))) (let ((_let_73 (+ (- 1) tptp.a))) (let ((_let_74 (tptp.p _let_73))) (let ((_let_75 (not _let_51))) (let ((_let_76 (_let_75))) (let ((_let_77 (= _let_73 _let_10))) (let ((_let_78 (ASSUME :args (_let_74)))) (let ((_let_79 (_let_77))) (let ((_let_80 (AND_ELIM _let_44 :args _let_9))) (let ((_let_81 (not _let_50))) (let ((_let_82 (false))) (let ((_let_83 (_let_8))) (let ((_let_84 (not _let_4))) (let ((_let_85 (<= _let_7 (- 1)))) (let ((_let_86 (_let_85))) (let ((_let_87 (ASSUME :args _let_46))) (let ((_let_88 (ASSUME :args (_let_53)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_87 _let_13 _let_88) :args (_let_84 _let_53 _let_6)) (SCOPE (CONTRA (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_88 :args ((< _let_7 0)))) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_86) (MACRO_SR_PRED_TRANSFORM _let_13 :args ((< _let_3 3))) _let_87 :args (1.0 (/ 1 3) (/ (- 1) 3))) :args _let_82) :args _let_86) :args ((> _let_7 (- 1)))) :args ((not _let_85)))) :args (_let_6 _let_84 _let_53)) :args ((not (and _let_84 _let_53 _let_6)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_84) _let_4))) (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_8))) (REFL :args ((not _let_6))) :args _let_36)) (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_83) :args _let_83) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_80 :args ((< _let_5 2)))) (INT_TIGHT_LB (ARITH_TRICHOTOMY (ASSUME :args _let_69) (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_76) :args ((not (= _let_3 1)))) :args ((> _let_3 1)))) :args ((- 1.0) (/ 1 3) (/ (- 1) 3))) :args _let_82) :args ((not _let_52) _let_50 _let_75 _let_8))) :args ((or _let_52 _let_81 _let_51 _let_53))) :args ((or _let_52 _let_51 _let_53 _let_81))) _let_80 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_78 (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_51)) :args _let_79) _let_65) :args (_let_74 _let_58 _let_51)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_66 (CONG (SYMM (ASSUME :args _let_79)) :args _let_27) (TRUE_INTRO _let_78))) :args (_let_74 _let_77 _let_58)) :args ((not (and _let_74 _let_58 _let_51)) SB_LITERAL))) (CONG (REFL :args ((not _let_74))) _let_62 (REFL :args _let_76) :args _let_36)) (AND_ELIM _let_35 :args (2)) _let_60 :args (_let_75 false _let_74 true _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_70)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_67 _let_72) (SCOPE (INT_TIGHT_LB (ARITH_TRICHOTOMY _let_67 (MACRO_SR_PRED_TRANSFORM _let_72 :args ((not (= _let_3 0)))) :args ((> _let_3 0)))) :args _let_71)) :args _let_71)) :args (true _let_70)) (CONG (REFL :args (_let_68)) (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_54))) (REFL :args _let_69) :args _let_36)) :args ((or _let_68 _let_50 _let_54))) _let_67 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_63 _let_64 _let_65) :args (_let_1 _let_58 _let_54)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_66 (CONG (SYMM _let_64) :args _let_27) (TRUE_INTRO _let_63))) :args (_let_1 _let_54 _let_58)) :args ((not (and _let_1 _let_58 _let_54)) SB_LITERAL))) (CONG (REFL :args ((not _let_1))) _let_62 (REFL :args _let_61) :args _let_36)) _let_60 (AND_ELIM _let_35 :args _let_42) :args (_let_57 true _let_56 false _let_1)) :args (_let_50 false _let_55 true _let_54)) :args (_let_53 true _let_52 true _let_51 false _let_50)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_47)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_45 _let_49) (SCOPE (INT_TIGHT_LB (ARITH_TRICHOTOMY _let_45 (MACRO_SR_PRED_TRANSFORM _let_49 :args ((not (= _let_5 (- 1))))) :args ((> _let_5 (- 1))))) :args _let_48)) :args _let_48)) :args (true _let_47)) (CONG (REFL :args ((not _let_16))) (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_15))) (REFL :args _let_46) :args _let_36)) _let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_39 (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_15)) :args _let_40) _let_41) :args (_let_19 _let_22 _let_15)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_41)) (CONG (SYMM (ASSUME :args _let_40)) :args _let_27) (TRUE_INTRO _let_39))) :args (_let_19 _let_38 _let_22)) :args ((not (and _let_19 _let_22 _let_15)) SB_LITERAL))) (CONG (REFL :args ((not _let_19))) (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_17))) (REFL :args _let_37) :args _let_36)) (AND_ELIM _let_35 :args _let_9) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_34 :args (_let_29 QUANTIFIERS_INST_E_MATCHING_VAR_GEN _let_33)) :args _let_31) (CONG _let_32 (CONG (CONG (CONG _let_30 (THEORY_PREPROCESS :args ((= _let_29 intDiv_8))) :args _let_28) :args _let_27) :args _let_26) :args _let_25))) _let_24 :args (_let_22 false _let_21)) :args (_let_20 false _let_19 true _let_17)) :args (_let_6 false _let_16 true _let_15)) _let_13 :args (false true _let_8 false _let_6 true _let_4)) :args (_let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 30.41/30.60 )
% 30.41/30.60 % SZS output end Proof for ARI596_1
% 30.41/30.60 % cvc5---1.0.5 exiting
% 30.41/30.61 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------