0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.14 % Command : do_cvc5 %s %d 0.15/0.35 % Computer : n011.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 : 960 0.15/0.35 % WCLimit : 120 0.15/0.35 % DateTime : Tue Aug 9 03:26:06 EDT 2022 0.15/0.35 % CPUTime : 0.22/0.49 %----Proving TF0_ARI 0.37/0.55 ------- cvc5-tfa casc j11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p... 0.37/0.55 --- Run --finite-model-find --decision=internal at 15... 0.37/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... 0.37/0.55 % SZS status Theorem for theBenchmark 0.37/0.55 % SZS output start Proof for theBenchmark 0.37/0.55 (let ((_let_1 (not (=> (forall ((X Int)) (let ((_let_1 (f X))) (let ((_let_2 (- X))) (and (<= _let_2 _let_1) (or (<= _let_1 X) (<= _let_1 _let_2)) (<= X _let_1))))) (forall ((X Int)) (let ((_let_1 (f X))) (= (f _let_1) _let_1))))))) (let ((_let_2 (f skv_2))) (let ((_let_3 (>= (+ skv_2 _let_2) 0))) (let ((_let_4 (+ skv_2 (* (- 1) _let_2)))) (let ((_let_5 (>= _let_4 1))) (let ((_let_6 (f _let_2))) (let ((_let_7 (+ _let_2 (* (- 1) _let_6)))) (let ((_let_8 (>= _let_7 0))) (let ((_let_9 (+ _let_2 _let_6))) (let ((_let_10 (>= _let_9 1))) (let ((_let_11 (forall ((BOUND_VARIABLE_359 Int)) (>= (+ BOUND_VARIABLE_359 (f BOUND_VARIABLE_359)) 0)))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (NOT_IMPLIES_ELIM1 _let_12))) (let ((_let_14 (_let_11))) (let ((_let_15 (forall ((BOUND_VARIABLE_378 Int)) (not (>= (+ BOUND_VARIABLE_378 (* (- 1) (f BOUND_VARIABLE_378))) 1))))) (let ((_let_16 (not _let_5))) (let ((_let_17 (AND_ELIM _let_13 :args (2)))) (let ((_let_18 (_let_15))) (let ((_let_19 ((f BOUND_VARIABLE_378)))) (let ((_let_20 (ASSUME :args _let_18))) (let ((_let_21 (>= _let_7 1))) (let ((_let_22 (= _let_2 _let_6))) (let ((_let_23 (not _let_8))) (let ((_let_24 (not _let_21))) (let ((_let_25 (forall ((X Int)) (let ((_let_1 (f X))) (= _let_1 (f _let_1)))))) (let ((_let_26 (not _let_22))) (let ((_let_27 (OR))) (let ((_let_28 (_let_26))) (let ((_let_29 (not _let_25))) (let ((_let_30 (_let_29))) (let ((_let_31 (_let_23))) (let ((_let_32 (and _let_26 _let_24))) (let ((_let_33 (not (= _let_6 _let_2)))) (let ((_let_34 ((< _let_7 0)))) (let ((_let_35 (ASSUME :args (_let_24)))) (let ((_let_36 (ASSUME :args _let_28))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_32)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO (MODUS_PONENS _let_36 (SCOPE (SYMM _let_36) :args _let_28)) _let_35) (SCOPE (MACRO_SR_PRED_TRANSFORM (ARITH_TRICHOTOMY (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_33)) :args ((not (= _let_7 0)))) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_35 :args ((< _let_7 1)))) :args _let_34) :args _let_31) :args (_let_33 _let_24))) :args (_let_26 _let_24))) :args (true _let_32)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_22))) (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_21))) (REFL :args _let_31) :args _let_27)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_30)) :args _let_30)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_25))) (REFL :args _let_28) :args _let_27)) (NOT_IMPLIES_ELIM2 _let_12) :args (_let_26 true _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_19)) :args _let_18)) _let_17 :args (_let_24 false _let_15)) :args (_let_23 true _let_22 true _let_21)))) (let ((_let_38 (not _let_10))) (let ((_let_39 (or _let_8 _let_38))) (let ((_let_40 (forall ((BOUND_VARIABLE_366 Int)) (let ((_let_1 (f BOUND_VARIABLE_366))) (or (>= (+ BOUND_VARIABLE_366 (* (- 1) _let_1)) 0) (not (>= (+ BOUND_VARIABLE_366 _let_1) 1))))))) (let ((_let_41 (_let_40))) (let ((_let_42 (not _let_3))) (let ((_let_43 (<= _let_4 0))) (let ((_let_44 (_let_43))) (let ((_let_45 (ASSUME :args (_let_3)))) (let ((_let_46 (ASSUME :args _let_31))) (let ((_let_47 (ASSUME :args (_let_38)))) (let ((_let_48 (ASSUME :args (_let_16)))) (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_45 _let_46 _let_47 _let_48) :args (_let_3 _let_38 _let_16 _let_23)) (SCOPE (CONTRA (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_48 :args ((< _let_4 1)))) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_44) (MACRO_SR_PRED_TRANSFORM _let_47 :args ((< _let_9 1))) (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_46 :args _let_34)) _let_45 :args (1.0 1.0 1.0 (- 1.0))) :args (false)) :args _let_44) :args ((> _let_4 0))) :args ((not _let_43)))) :args (_let_3 _let_23 _let_38 _let_16)) :args ((not (and _let_3 _let_38 _let_16 _let_23)) SB_LITERAL))) (CONG (REFL :args (_let_42)) (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_10))) (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_5))) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_8))) :args _let_27)) :args ((or _let_8 _let_10 _let_5 _let_42))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_8 _let_38 (not _let_39)))) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_41) :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((f BOUND_VARIABLE_366)))) :args _let_41)) (AND_ELIM _let_13 :args (1)) :args (_let_39 false _let_40)) :args (_let_38 true _let_8 false _let_39)) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (skv_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_19)) :args _let_18)) _let_17 :args (_let_16 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_14) :args (skv_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((f BOUND_VARIABLE_359)))) :args _let_14)) (AND_ELIM _let_13 :args (0)) :args (_let_3 false _let_11)) :args (false true _let_10 true _let_8 true _let_5 false _let_3)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))) 0.37/0.55 % SZS output end Proof for theBenchmark 0.37/0.55 EOF