0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : do_cvc5 %s %d 0.14/0.34 % Computer : n025.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % WCLimit : 120 0.14/0.34 % DateTime : Tue Aug 9 02:05:56 EDT 2022 0.14/0.35 % CPUTime : 0.21/0.48 %----Proving TF0_ARI 0.21/0.53 ------- cvc5-tfa casc j11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p... 0.21/0.53 --- Run --finite-model-find --decision=internal at 15... 0.21/0.53 % SZS status Theorem for theBenchmark 0.21/0.53 % SZS output start Proof for theBenchmark 0.21/0.53 (let ((_let_1 (> x 0.0))) (let ((_let_2 (> y 0.0))) (let ((_let_3 (< y 1.0))) (let ((_let_4 (> (* x y) (+ x y)))) (let ((_let_5 (* (- 1) x))) (let ((_let_6 (>= _let_5 0))) (let ((_let_7 (>= x 0))) (let ((_let_8 (_let_1))) (let ((_let_9 (ASSUME :args _let_8))) (let ((_let_10 (EQ_RESOLVE _let_9 (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_11 (* x y))) (let ((_let_12 (* (- 1) _let_11))) (let ((_let_13 (+ x _let_12))) (let ((_let_14 (>= _let_11 0))) (let ((_let_15 (>= (+ _let_5 _let_11) 0))) (let ((_let_16 (not _let_15))) (let ((_let_17 (ite _let_14 _let_16 (not (>= (+ _let_5 _let_12) 0))))) (let ((_let_18 (ite _let_7 _let_17 (ite _let_14 (not (>= (+ x _let_11) 0)) (not (>= _let_13 0)))))) (let ((_let_19 (not _let_7))) (let ((_let_20 (= x 0.0))) (let ((_let_21 (not _let_20))) (let ((_let_22 (* (- 1) y))) (let ((_let_23 (>= y 1))) (let ((_let_24 (not _let_23))) (let ((_let_25 (>= y 0))) (let ((_let_26 (ite _let_25 _let_24 (not (>= _let_22 1))))) (let ((_let_27 (and _let_26 _let_21))) (let ((_let_28 (>= _let_22 0))) (let ((_let_29 (_let_2))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args _let_29) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (OR))) (let ((_let_32 (not _let_25))) (let ((_let_33 (not _let_28))) (let ((_let_34 (>= y 0.0))) (let ((_let_35 ((< y 0.0)))) (let ((_let_36 (_let_32))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (_let_34))) (let ((_let_39 (false))) (let ((_let_40 (1.0 (- 1.0)))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_37 _let_30) :args (_let_33 _let_32)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_35) (MACRO_SR_PRED_TRANSFORM _let_30 :args _let_29) :args _let_40) :args _let_39) :args _let_35) :args _let_38) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM _let_37 :args _let_35) :args ((not _let_34)))) :args (_let_32 _let_33)) :args ((not (and _let_33 _let_32)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_28))) (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_25))) :args _let_31)) _let_30 :args (_let_25 true _let_28)))) (let ((_let_42 (REFL :args _let_36))) (let ((_let_43 (_let_26))) (let ((_let_44 (_let_21))) (let ((_let_45 (not _let_6))) (let ((_let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_6))))) (let ((_let_47 (= 0.0 x))) (let ((_let_48 (_let_20))) (let ((_let_49 (MACRO_SR_PRED_TRANSFORM _let_10 :args _let_8))) (let ((_let_50 (ASSUME :args _let_48))) (let ((_let_51 (not _let_26))) (let ((_let_52 (_let_27))) (let ((_let_53 (- _let_11))) (let ((_let_54 (- x))) (let ((_let_55 (>= _let_11 0.0))) (let ((_let_56 (>= x 0.0))) (let ((_let_57 (- y))) (let ((_let_58 (- 1.0))) (let ((_let_59 (=> (and (ite (>= 1.0 0.0) (ite _let_34 (> 1.0 y) (> 1.0 _let_57)) (ite _let_34 (> _let_58 y) (> _let_58 _let_57))) _let_21) (ite _let_56 (ite _let_55 (> x _let_11) (> x _let_53)) (ite _let_55 (> _let_54 _let_11) (> _let_54 _let_53)))))) (let ((_let_60 (not _let_17))) (let ((_let_61 (+ x y _let_12))) (let ((_let_62 (>= _let_61 0))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (not _let_14))) (let ((_let_65 (not _let_62))) (let ((_let_66 (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_62))))) (let ((_let_67 (MACRO_SR_PRED_TRANSFORM _let_63 :args ((< _let_61 0.0))))) (let ((_let_68 (ASSUME :args (_let_25)))) (let ((_let_69 (MACRO_SR_PRED_TRANSFORM _let_68 :args _let_38))) (let ((_let_70 (ASSUME :args (_let_64)))) (let ((_let_71 (> _let_13 0.0))) (let ((_let_72 (_let_71))) (let ((_let_73 (ASSUME :args (_let_16)))) (let ((_let_74 ((< x 0.0)))) (let ((_let_75 (ASSUME :args (_let_19)))) (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_75 _let_10) :args (_let_45 _let_19)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_74) _let_49 :args _let_40) :args _let_39) :args _let_74) :args (_let_56)) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM _let_75 :args _let_74) :args ((not _let_56)))) :args (_let_19 _let_45)) :args ((not (and _let_45 _let_19)) SB_LITERAL))) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_7))) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_POS1 :args (_let_18)) :args ((or _let_17 _let_19 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_ITE_POS1 :args (_let_17)) :args ((or _let_16 _let_64 _let_60))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_68 _let_63 _let_73) :args (_let_65 _let_25 _let_16)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_73 :args _let_72) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_72) _let_67 _let_69 :args ((- 1.0) 1.0 (- 1.0))) :args _let_39) :args _let_72) :args ((<= _let_13 0.0))) :args ((not _let_71)))) :args (_let_25 _let_65 _let_16)) :args ((not (and _let_65 _let_25 _let_16)) SB_LITERAL))) (CONG _let_66 _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_31)) :args ((or _let_62 _let_15 _let_32))) _let_63 _let_41 :args (_let_15 true _let_62 false _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_63 _let_68 _let_70 _let_10) :args (_let_65 _let_45 _let_25 _let_64)) (SCOPE (CONTRA _let_49 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_9 (MACRO_SR_PRED_TRANSFORM _let_70 :args ((< _let_11 0.0))) _let_69 _let_67 :args ((- 1.0) 1.0 (- 1.0) 1.0)) :args _let_39) :args _let_8) :args ((<= x 0.0))) :args ((not _let_1)))) :args (_let_65 _let_25 _let_64 _let_45)) :args ((not (and _let_65 _let_45 _let_25 _let_64)) SB_LITERAL))) (CONG _let_66 _let_46 _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_14))) :args _let_31)) :args ((or _let_62 _let_6 _let_14 _let_32))) _let_63 _let_10 _let_41 :args (_let_14 true _let_62 true _let_6 false _let_25)) :args (_let_60 false _let_15 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (THEORY_LEMMA :args (_let_59 THEORY_ARITH)) (REWRITE :args (_let_59)))) :args ((or _let_18 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_52) (CONG (REFL :args _let_52) (REFL :args (_let_51)) (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_31)) :args ((or _let_20 _let_27 _let_51))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS _let_50 (SCOPE (SYMM _let_50) :args _let_48)) _let_10) :args (_let_45 _let_20)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_47)) :args _let_48) :args _let_48) (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_50 _let_49 :args _let_40) :args _let_39) :args _let_48) :args _let_44)) :args (_let_47 _let_45)) :args ((not (and _let_45 _let_20)) SB_LITERAL))) (CONG _let_46 (REFL :args _let_44) :args _let_31)) _let_10 :args (_let_21 true _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_ITE_NEG1 :args _let_43) (CONG (REFL :args _let_43) _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_31)) :args ((or _let_23 _let_26 _let_32))) (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) _let_41 :args (_let_26 true _let_23 false _let_25)) :args (_let_27 true _let_20 false _let_26)) :args (_let_18 false _let_27)) :args (_let_19 true _let_17 false _let_18)) _let_10 :args (false true _let_7 true _let_6)) :args (_let_4 (not false) _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0.21/0.53 % SZS output end Proof for theBenchmark 0.21/0.53 EOF