TSTP Solution File: ARI598_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ARI598_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 30.35s 30.57s
% Output : Proof 30.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI598_1 : TPTP v8.1.2. Released v5.1.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n013.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 : Tue Aug 29 18:33:31 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_ARI
% 30.35/30.57 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.DSeya4w10i/cvc5---1.0.5_28561.p...
% 30.35/30.57 ------- get file name : TPTP file name is ARI598_1
% 30.35/30.57 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_28561.smt2...
% 30.35/30.57 --- Run --finite-model-find --decision=internal at 15...
% 30.35/30.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 30.35/30.57 --- Run --no-e-matching --full-saturate-quant at 15...
% 30.35/30.57 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 15...
% 30.35/30.57 % SZS status Theorem for ARI598_1
% 30.35/30.57 % SZS output start Proof for ARI598_1
% 30.35/30.57 (
% 30.35/30.57 (let ((_let_1 (* 3 tptp.a))) (let ((_let_2 (tptp.p tptp.a))) (let ((_let_3 (not (=> (and _let_2 (tptp.p (+ _let_1 1))) (exists ((X Int)) (tptp.p (* 2 X))))))) (let ((_let_4 (+ tptp.a (* (- 2) intDiv_7)))) (let ((_let_5 (>= _let_4 2))) (let ((_let_6 (+ _let_1 (* (- 2) intDiv_8)))) (let ((_let_7 (>= _let_6 1))) (let ((_let_8 (>= _let_4 1))) (let ((_let_9 (>= _let_6 0))) (let ((_let_10 (1))) (let ((_let_11 (* 2 intDiv_7))) (let ((_let_12 ((and (<= _let_11 tptp.a) (< tptp.a (* 2 (+ intDiv_7 1))))))) (let ((_let_13 (EQ_RESOLVE (THEORY_PREPROCESS_LEMMA :args _let_12) (REWRITE :args _let_12)))) (let ((_let_14 (AND_ELIM _let_13 :args _let_10))) (let ((_let_15 (+ 1 _let_1))) (let ((_let_16 (* 2 intDiv_8))) (let ((_let_17 ((and (<= _let_16 _let_15) (< _let_15 (* 2 (+ intDiv_8 1))))))) (let ((_let_18 (EQ_RESOLVE (THEORY_PREPROCESS_LEMMA :args _let_17) (REWRITE :args _let_17)))) (let ((_let_19 (AND_ELIM _let_18 :args _let_10))) (let ((_let_20 (= tptp.a _let_11))) (let ((_let_21 (>= _let_4 0))) (let ((_let_22 (tptp.p _let_11))) (let ((_let_23 (not _let_20))) (let ((_let_24 (0))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (NOT_IMPLIES_ELIM1 _let_25))) (let ((_let_27 (forall ((X Int)) (not (tptp.p (* 2 X)))))) (let ((_let_28 (not _let_22))) (let ((_let_29 (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_25)))) (let ((_let_30 (=>))) (let ((_let_31 (not))) (let ((_let_32 (APPLY_UF tptp.p))) (let ((_let_33 (*))) (let ((_let_34 (div tptp.a 2))) (let ((_let_35 (REFL :args (2)))) (let ((_let_36 (_let_27))) (let ((_let_37 (REFL :args _let_36))) (let ((_let_38 ((not (= (tptp.p (* 2 X)) false))))) (let ((_let_39 (ASSUME :args _let_36))) (let ((_let_40 (or))) (let ((_let_41 (_let_23))) (let ((_let_42 (ASSUME :args (_let_2)))) (let ((_let_43 (ASSUME :args (_let_20)))) (let ((_let_44 (ASSUME :args (_let_28)))) (let ((_let_45 (AND_ELIM _let_13 :args _let_24))) (let ((_let_46 (_let_8))) (let ((_let_47 (and _let_21 _let_23))) (let ((_let_48 (_let_21 _let_23))) (let ((_let_49 (ASSUME :args _let_41))) (let ((_let_50 (= _let_16 _let_15))) (let ((_let_51 (>= _let_6 (- 1)))) (let ((_let_52 (tptp.p _let_15))) (let ((_let_53 (tptp.p _let_16))) (let ((_let_54 (not _let_50))) (let ((_let_55 (not _let_53))) (let ((_let_56 (div _let_15 2))) (let ((_let_57 (_let_54))) (let ((_let_58 (ASSUME :args (_let_55)))) (let ((_let_59 (ASSUME :args (_let_50)))) (let ((_let_60 (ASSUME :args (_let_52)))) (let ((_let_61 (AND_ELIM _let_18 :args _let_24))) (let ((_let_62 (_let_9))) (let ((_let_63 (and _let_51 _let_54))) (let ((_let_64 (_let_51 _let_54))) (let ((_let_65 (ASSUME :args _let_57))) (let ((_let_66 (not _let_7))) (let ((_let_67 (not _let_5))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_14 (ASSUME :args _let_46) _let_19 (ASSUME :args _let_62)) :args (_let_67 _let_66 _let_8 _let_9)) (THEORY_LEMMA :args ((not (and _let_67 _let_8 _let_66 _let_9)) THEORY_ARITH)) :args ((not (and _let_67 _let_66 _let_8 _let_9)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_5))) (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_7))) (REFL :args ((not _let_8))) (REFL :args ((not _let_9))) :args _let_40)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_63)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_61 _let_65) (SCOPE (INT_TIGHT_LB (ARITH_TRICHOTOMY _let_61 (MACRO_SR_PRED_TRANSFORM _let_65 :args ((not (= _let_6 (- 1))))) :args ((> _let_6 (- 1))))) :args _let_64)) :args _let_64)) :args (true _let_63)) (CONG (REFL :args ((not _let_51))) (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_50))) (REFL :args _let_62) :args _let_40)) _let_61 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_58 _let_59 _let_60) :args (_let_52 _let_55 _let_50)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_60)) (CONG (SYMM _let_59) :args _let_32) (FALSE_INTRO _let_58))) :args (_let_55 _let_50 _let_52)) :args ((not (and _let_52 _let_55 _let_50)) SB_LITERAL))) (CONG (REFL :args ((not _let_52))) (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_53))) (REFL :args _let_57) :args _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_39 :args (_let_56 QUANTIFIERS_INST_E_MATCHING_VAR_GEN _let_38)) :args _let_36) (CONG _let_37 (CONG (CONG (CONG _let_35 (THEORY_PREPROCESS :args ((= _let_56 intDiv_8))) :args _let_33) :args _let_32) :args _let_31) :args _let_30))) _let_29 :args (_let_55 false _let_27)) (AND_ELIM _let_26 :args _let_10) :args (_let_54 true _let_53 false _let_52)) :args (_let_9 false _let_51 true _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_4 0)))) :args ((> _let_4 0)))) :args _let_48)) :args _let_48)) :args (true _let_47)) (CONG (REFL :args ((not _let_21))) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_20))) (REFL :args _let_46) :args _let_40)) _let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_42 _let_43 _let_44) :args (_let_2 _let_28 _let_20)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_44)) (CONG (SYMM _let_43) :args _let_32) (TRUE_INTRO _let_42))) :args (_let_2 _let_20 _let_28)) :args ((not (and _let_2 _let_28 _let_20)) SB_LITERAL))) (CONG (REFL :args ((not _let_2))) (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_22))) (REFL :args _let_41) :args _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_39 :args (_let_34 QUANTIFIERS_INST_E_MATCHING_VAR_GEN _let_38)) :args _let_36) (CONG _let_37 (CONG (CONG (CONG _let_35 (THEORY_PREPROCESS :args ((= _let_34 intDiv_7))) :args _let_33) :args _let_32) :args _let_31) :args _let_30))) _let_29 :args (_let_28 false _let_27)) (AND_ELIM _let_26 :args _let_24) :args (_let_23 true _let_22 false _let_2)) :args (_let_8 false _let_21 true _let_20)) _let_19 _let_14 :args (false false _let_9 false _let_8 true _let_7 true _let_5)) :args (_let_3 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 30.35/30.57 )
% 30.35/30.57 % SZS output end Proof for ARI598_1
% 30.35/30.57 % cvc5---1.0.5 exiting
% 30.35/30.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------