0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : do_cvc5 %s %d 0.13/0.33 % Computer : n015.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Tue Aug 9 05:19:56 EDT 2022 0.13/0.33 % CPUTime : 0.19/0.47 %----Proving TF0_ARI 30.35/30.56 ------- cvc5-tfa casc j11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p... 30.35/30.56 --- Run --finite-model-find --decision=internal at 15... 30.35/30.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... 30.35/30.56 --- Run --no-e-matching --full-saturate-quant at 15... 30.35/30.56 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 15... 30.35/30.56 % SZS status Theorem for theBenchmark 30.35/30.56 % SZS output start Proof for theBenchmark 30.35/30.56 (let ((_let_1 (not (=> (forall ((Z Int)) (=> (and (<= a Z) (<= Z (+ a 2))) (p Z))) (exists ((X Int)) (p (* 3 X))))))) (let ((_let_2 (forall ((Z Int)) (let ((_let_1 (+ a (* (- 1) Z)))) (or (>= _let_1 1) (not (>= _let_1 (- 2))) (p Z)))))) (let ((_let_3 (* 3 intDiv_4))) (let ((_let_4 (p _let_3))) (let ((_let_5 (+ a (* (- 3) intDiv_4)))) (let ((_let_6 (>= _let_5 (- 2)))) (let ((_let_7 (not _let_6))) (let ((_let_8 (>= _let_5 1))) (let ((_let_9 (or _let_8 _let_7 _let_4))) (let ((_let_10 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_11 (not _let_9))) (let ((_let_12 (+ 2 a))) (let ((_let_13 ((and (<= _let_3 _let_12) (< _let_12 (* 3 (+ intDiv_4 1))))))) (let ((_let_14 (EQ_RESOLVE (THEORY_PREPROCESS_LEMMA :args _let_13) (REWRITE :args _let_13)))) (let ((_let_15 (forall ((X Int)) (not (p (* 3 X)))))) (let ((_let_16 (div _let_12 3))) (let ((_let_17 (_let_15))) (let ((_let_18 (_let_2))) (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_18) :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (p Z) true))))) :args _let_18))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_9)) :args ((or _let_4 _let_8 _let_7 _let_11))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE (ASSUME :args _let_17) :args (_let_16 QUANTIFIERS_INST_E_MATCHING_VAR_GEN ((not (= (p (* 3 X)) false))))) :args _let_17) (CONG (REFL :args _let_17) (CONG (CONG (CONG (REFL :args (3)) (THEORY_PREPROCESS :args ((= _let_16 intDiv_4))) :args (MULT)) :args (APPLY_UF p)) :args (NOT)) :args (IMPLIES)))) (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_10)) :args ((not _let_4) false _let_15)) (AND_ELIM _let_14 :args (1)) (AND_ELIM _let_14 :args (0)) :args (_let_11 true _let_4 true _let_8 false _let_6)) (NOT_IMPLIES_ELIM1 _let_10) :args (false true _let_9 false _let_2)) :args (_let_1 true)))))))))))))))))))) 30.35/30.56 % SZS output end Proof for theBenchmark 30.35/30.56 EOF