0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.10 % Command : do_cvc5 %s %d 0.09/0.30 % Computer : n017.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Tue Aug 9 04:31:30 EDT 2022 0.09/0.30 % CPUTime : 0.15/0.41 %----Proving TF0_ARI 30.28/30.55 ------- cvc5-tfa casc j11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p... 30.28/30.55 --- Run --finite-model-find --decision=internal at 15... 30.28/30.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... 30.28/30.55 --- Run --no-e-matching --full-saturate-quant at 15... 30.28/30.55 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 15... 30.28/30.55 % SZS status Theorem for theBenchmark 30.28/30.55 % SZS output start Proof for theBenchmark 30.28/30.55 (let ((_let_1 (p a))) (let ((_let_2 (* 3 a))) (let ((_let_3 (not (=> (and (p (+ _let_2 1)) _let_1) (exists ((X Int)) (p (* 2 X))))))) (let ((_let_4 (+ _let_2 (* (- 2) intDiv_3)))) (let ((_let_5 (>= _let_4 1))) (let ((_let_6 (+ a (* (- 2) intDiv_4)))) (let ((_let_7 (>= _let_6 2))) (let ((_let_8 (>= _let_6 1))) (let ((_let_9 (>= _let_4 0))) (let ((_let_10 (1))) (let ((_let_11 (+ 1 _let_2))) (let ((_let_12 (* 2 intDiv_3))) (let ((_let_13 ((and (<= _let_12 _let_11) (< _let_11 (* 2 (+ intDiv_3 1))))))) (let ((_let_14 (EQ_RESOLVE (THEORY_PREPROCESS_LEMMA :args _let_13) (REWRITE :args _let_13)))) (let ((_let_15 (AND_ELIM _let_14 :args _let_10))) (let ((_let_16 (* 2 intDiv_4))) (let ((_let_17 ((and (<= _let_16 a) (< a (* 2 (+ intDiv_4 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 (= a _let_16))) (let ((_let_21 (>= _let_6 0))) (let ((_let_22 (p _let_16))) (let ((_let_23 (not _let_20))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (NOT_IMPLIES_ELIM1 _let_24))) (let ((_let_26 (forall ((X Int)) (not (p (* 2 X)))))) (let ((_let_27 (not _let_22))) (let ((_let_28 (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_24)))) (let ((_let_29 (IMPLIES))) (let ((_let_30 (NOT))) (let ((_let_31 (APPLY_UF p))) (let ((_let_32 (MULT))) (let ((_let_33 (div a 2))) (let ((_let_34 (REFL :args (2)))) (let ((_let_35 (_let_26))) (let ((_let_36 (REFL :args _let_35))) (let ((_let_37 ((not (= (p (* 2 X)) false))))) (let ((_let_38 (ASSUME :args _let_35))) (let ((_let_39 (OR))) (let ((_let_40 (_let_23))) (let ((_let_41 (ASSUME :args (_let_1)))) (let ((_let_42 (ASSUME :args (_let_20)))) (let ((_let_43 (ASSUME :args (_let_27)))) (let ((_let_44 (0))) (let ((_let_45 (AND_ELIM _let_18 :args _let_44))) (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_40))) (let ((_let_50 (= _let_12 _let_11))) (let ((_let_51 (>= _let_4 (- 1)))) (let ((_let_52 (p _let_11))) (let ((_let_53 (p _let_12))) (let ((_let_54 (not _let_50))) (let ((_let_55 (not _let_53))) (let ((_let_56 (div _let_11 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_14 :args _let_44))) (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 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_19 (ASSUME :args _let_46) _let_15 (ASSUME :args _let_62)) :args (_let_67 _let_66 _let_8 _let_9)) (THEORY_LEMMA :args ((not (and _let_66 _let_8 _let_67 _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_39)) (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_4 (- 1))))) :args ((> _let_4 (- 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_39)) _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_31) (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_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_38 :args (_let_56 QUANTIFIERS_INST_E_MATCHING_VAR_GEN _let_37)) :args _let_35) (CONG _let_36 (CONG (CONG (CONG _let_34 (THEORY_PREPROCESS :args ((= _let_56 intDiv_3))) :args _let_32) :args _let_31) :args _let_30) :args _let_29))) _let_28 :args (_let_55 false _let_26)) (AND_ELIM _let_25 :args _let_44) :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_6 0)))) :args ((> _let_6 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_39)) _let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_41 _let_42 _let_43) :args (_let_1 _let_27 _let_20)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_43)) (CONG (SYMM _let_42) :args _let_31) (TRUE_INTRO _let_41))) :args (_let_1 _let_20 _let_27)) :args ((not (and _let_1 _let_27 _let_20)) SB_LITERAL))) (CONG (REFL :args ((not _let_1))) (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_22))) (REFL :args _let_40) :args _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_38 :args (_let_33 QUANTIFIERS_INST_E_MATCHING_VAR_GEN _let_37)) :args _let_35) (CONG _let_36 (CONG (CONG (CONG _let_34 (THEORY_PREPROCESS :args ((= _let_33 intDiv_4))) :args _let_32) :args _let_31) :args _let_30) :args _let_29))) _let_28 :args (_let_27 false _let_26)) (AND_ELIM _let_25 :args _let_10) :args (_let_23 true _let_22 false _let_1)) :args (_let_8 false _let_21 true _let_20)) _let_19 _let_15 :args (false false _let_9 false _let_8 true _let_7 true _let_5)) :args (_let_3 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 30.28/30.55 % SZS output end Proof for theBenchmark 30.28/30.55 EOF