0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : do_cvc5 %s %d 0.11/0.33 % Computer : n021.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Tue Aug 9 03:38:20 EDT 2022 0.11/0.33 % CPUTime : 0.17/0.45 %----Proving TF0_NAR, FOF, or CNF 0.17/0.54 ------- cvc5-fof casc J11 : /export/starexec/sandbox2/benchmark/theBenchmark.p at /export/starexec/sandbox2/benchmark/theBenchmark.p... 0.17/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10... 0.17/0.54 % SZS status Theorem for theBenchmark 0.17/0.54 % SZS output start Proof for theBenchmark 0.17/0.54 (let ((_let_1 (forall ((Vd78 $$unsorted) (Vd79 $$unsorted)) (= (vplus Vd78 Vd79) (vplus Vd79 Vd78))))) (let ((_let_2 (forall ((Vd337 $$unsorted) (Vd338 $$unsorted) (Vd340 $$unsorted) (Vd341 $$unsorted)) (=> (and (greater Vd337 Vd338) (greater Vd340 Vd341)) (greater (vplus Vd337 Vd340) (vplus Vd338 Vd341)))))) (let ((_let_3 (forall ((Vd226 $$unsorted) (Vd227 $$unsorted)) (=> (less Vd226 Vd227) (greater Vd227 Vd226))))) (let ((_let_4 (forall ((Vd244 $$unsorted) (Vd245 $$unsorted)) (= (geq Vd245 Vd244) (or (greater Vd245 Vd244) (= Vd245 Vd244)))))) (let ((_let_5 (vplus vd354 vd356))) (let ((_let_6 (vplus vd353 vd355))) (let ((_let_7 (greater _let_6 _let_5))) (let ((_let_8 (not _let_7))) (let ((_let_9 (greater vd353 vd354))) (let ((_let_10 (geq vd355 vd356))) (let ((_let_11 (and _let_10 _let_9))) (let ((_let_12 (geq vd353 vd354))) (let ((_let_13 (greater vd355 vd356))) (let ((_let_14 (and _let_13 _let_12))) (let ((_let_15 (or _let_14 _let_11))) (let ((_let_16 (forall ((Vd208 $$unsorted) (Vd209 $$unsorted)) (=> (greater Vd208 Vd209) (less Vd209 Vd208))))) (let ((_let_17 (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd303 $$unsorted)) (=> (less Vd301 Vd302) (less (vplus Vd301 Vd303) (vplus Vd302 Vd303)))))) (let ((_let_18 (= _let_6 (vplus vd355 vd353)))) (let ((_let_19 (vplus vd356 vd354))) (let ((_let_20 (= _let_5 _let_19))) (let ((_let_21 (less _let_5 _let_6))) (let ((_let_22 (= vd353 vd354))) (let ((_let_23 (less _let_19 (vplus vd355 vd354)))) (let ((_let_24 (forall ((Vd78 $$unsorted) (Vd79 $$unsorted)) (= (vplus Vd79 Vd78) (vplus Vd78 Vd79))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (_let_24))) (let ((_let_27 ((vplus Vd79 Vd78)))) (let ((_let_28 (not _let_21))) (let ((_let_29 (or _let_28 _let_7))) (let ((_let_30 (forall ((Vd226 $$unsorted) (Vd227 $$unsorted)) (or (not (less Vd226 Vd227)) (greater Vd227 Vd226))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (ASSUME :args (_let_8)))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_7 _let_28 (not _let_29)))) _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_5 _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (greater Vd227 Vd226) true))))) :args (_let_30))) _let_31 :args (_let_29 false _let_30)) :args (_let_28 true _let_7 false _let_29)))) (let ((_let_34 (or _let_9 _let_22))) (let ((_let_35 (= _let_12 _let_34))) (let ((_let_36 (forall ((Vd244 $$unsorted) (Vd245 $$unsorted)) (= (geq Vd245 Vd244) (or (greater Vd245 Vd244) (= Vd244 Vd245)))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (_let_36))) (let ((_let_39 ((geq Vd245 Vd244)))) (let ((_let_40 (not _let_11))) (let ((_let_41 (not _let_13))) (let ((_let_42 (not _let_9))) (let ((_let_43 (or _let_42 _let_41 _let_7))) (let ((_let_44 (forall ((Vd337 $$unsorted) (Vd338 $$unsorted) (Vd340 $$unsorted) (Vd341 $$unsorted)) (or (not (greater Vd337 Vd338)) (not (greater Vd340 Vd341)) (greater (vplus Vd337 Vd340) (vplus Vd338 Vd341)))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (= vd355 vd356))) (let ((_let_47 (or _let_13 _let_46))) (let ((_let_48 (= _let_10 _let_47))) (let ((_let_49 (less vd354 vd353))) (let ((_let_50 (or _let_42 _let_49))) (let ((_let_51 (less _let_5 (vplus vd353 vd356)))) (let ((_let_52 (not _let_49))) (let ((_let_53 (or _let_52 _let_51))) (let ((_let_54 (not _let_14))) (let ((_let_55 (ASSUME :args (_let_15)))) (let ((_let_56 (REORDERING (CNF_AND_POS :args (_let_11 1)) :args ((or _let_9 _let_40))))) (let ((_let_57 (forall ((Vd208 $$unsorted) (Vd209 $$unsorted)) (or (not (greater Vd208 Vd209)) (less Vd209 Vd208))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (_let_57))) (let ((_let_60 (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd303 $$unsorted)) (or (not (less Vd301 Vd302)) (less (vplus Vd301 Vd303) (vplus Vd302 Vd303)))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (_let_60))) (let ((_let_63 ((not (= (less (vplus Vd301 Vd303) (vplus Vd302 Vd303)) true))))) (let ((_let_64 (not _let_51))) (let ((_let_65 (not _let_46))) (let ((_let_66 (OR))) (let ((_let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_21))))) (let ((_let_68 (and _let_46 _let_28))) (let ((_let_69 (ASSUME :args (_let_28)))) (let ((_let_70 (FALSE_INTRO _let_69))) (let ((_let_71 (APPLY_UF less))) (let ((_let_72 (APPLY_UF vplus))) (let ((_let_73 (ASSUME :args (_let_46)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_68)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_69 _let_73) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_5)) (CONG (REFL :args (vd353)) (SYMM _let_73) :args _let_72) :args _let_71) _let_70)) :args (_let_28 _let_46))) :args (_let_46 _let_28))) :args (true _let_68)) (CONG (REFL :args (_let_65)) _let_67 (REFL :args (_let_64)) :args _let_66)) :args ((or _let_21 _let_65 _let_64))) _let_33 (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_51 (not _let_53)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (vd354 vd353 vd356 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_62)) _let_61 :args (_let_53 false _let_60)) (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_13 _let_46 (not _let_47)))) (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_42 _let_49 (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (vd353 vd354 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (greater Vd208 Vd209) false))))) :args _let_59)) _let_58 :args (_let_50 false _let_57)) (REORDERING (CNF_EQUIV_POS1 :args (_let_48)) :args ((or (not _let_10) _let_47 (not _let_48)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_37 :args (vd356 vd355 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_38))) _let_37 :args (_let_48 false _let_36)) _let_56 (REORDERING (CNF_AND_POS :args (_let_11 0)) :args ((or _let_10 _let_40))) _let_55 (REORDERING (CNF_AND_POS :args (_let_14 0)) :args ((or _let_13 _let_54))) :args (_let_13 true _let_21 false _let_51 false _let_53 false _let_46 false _let_49 false _let_50 false _let_47 false _let_48 false _let_9 false _let_10 false _let_11 true _let_14)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_7 _let_41 _let_42 (not _let_43)))) _let_32 _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (vd353 vd354 vd355 vd356 QUANTIFIERS_INST_E_MATCHING ((not (= (greater (vplus Vd337 Vd340) (vplus Vd338 Vd341)) true))))) :args (_let_44))) _let_45 :args (_let_43 false _let_44)) :args (_let_42 true _let_7 false _let_13 false _let_43)))) (let ((_let_76 (less vd356 vd355))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_23))) (let ((_let_79 (or _let_41 _let_76))) (let ((_let_80 (not _let_23))) (let ((_let_81 (not _let_20))) (let ((_let_82 (not _let_18))) (let ((_let_83 (not _let_22))) (let ((_let_84 (ASSUME :args (_let_23)))) (let ((_let_85 (ASSUME :args (_let_22)))) (let ((_let_86 (ASSUME :args (_let_18)))) (let ((_let_87 (ASSUME :args (_let_20)))) (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_84 _let_87 _let_85 _let_86 _let_69) :args (_let_22 _let_28 _let_18 _let_20 _let_23)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_70) (CONG (SYMM (SYMM _let_87)) (TRANS (SYMM (SYMM _let_86)) (CONG (REFL :args (vd355)) (SYMM (SYMM _let_85)) :args _let_72)) :args _let_71) (TRUE_INTRO _let_84))) :args (_let_23 _let_20 _let_22 _let_18 _let_28)) :args ((not (and _let_22 _let_28 _let_18 _let_20 _let_23)) SB_LITERAL))) (CONG (REFL :args (_let_83)) _let_67 (REFL :args (_let_82)) (REFL :args (_let_81)) (REFL :args (_let_80)) :args _let_66)) :args ((or _let_21 _let_83 _let_82 _let_81 _let_80))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_77 _let_23 (not _let_78)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_41 _let_76 (not _let_79)))) _let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (vd355 vd356 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (less Vd209 Vd208) true))))) :args _let_59)) _let_58 :args (_let_79 false _let_57)) :args (_let_76 false _let_13 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (vd356 vd355 vd354 QUANTIFIERS_INST_E_MATCHING _let_63)) :args _let_62)) _let_61 :args (_let_78 false _let_60)) :args (_let_23 false _let_76 false _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_9 _let_22 (not _let_34)))) _let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_35)) :args ((or (not _let_12) _let_34 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_14 1)) :args ((or _let_12 _let_54))) (MACRO_RESOLUTION_TRUST _let_55 (MACRO_RESOLUTION_TRUST _let_56 _let_75 :args (_let_40 true _let_9)) :args (_let_14 true _let_11)) :args (_let_12 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_37 :args (vd354 vd353 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_38))) _let_37 :args (_let_35 false _let_36)) :args (_let_34 false _let_12 false _let_35)) :args (_let_22 true _let_9 false _let_34)) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (vd356 vd354 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_26)) _let_25 :args (_let_20 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (vd355 vd353 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_26)) _let_25 :args (_let_18 false _let_24)) :args (false false _let_23 false _let_22 true _let_21 false _let_20 false _let_18)) :args ((forall ((Vd120 $$unsorted) (Vd121 $$unsorted)) (or (not (= Vd121 Vd120)) (not (exists ((Vd125 $$unsorted)) (= (vplus Vd120 Vd125) Vd121))))) (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (not (= Vd203 Vd204)) (not (less Vd203 Vd204)))) (forall ((Vd68 $$unsorted) (Vd69 $$unsorted)) (= (vplus (vsucc Vd68) Vd69) (vsucc (vplus Vd68 Vd69)))) (forall ((Vd193 $$unsorted) (Vd194 $$unsorted)) (= (exists ((Vd196 $$unsorted)) (= Vd194 (vplus Vd193 Vd196))) (greater Vd194 Vd193))) (forall ((Vd254 $$unsorted) (Vd255 $$unsorted)) (=> (geq Vd254 Vd255) (leq Vd255 Vd254))) (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd303 $$unsorted)) (=> (= Vd302 Vd301) (= (vplus Vd301 Vd303) (vplus Vd302 Vd303)))) _let_17 (forall ((Vd120 $$unsorted) (Vd121 $$unsorted)) (or (exists ((Vd123 $$unsorted)) (= Vd120 (vplus Vd121 Vd123))) (exists ((Vd125 $$unsorted)) (= (vplus Vd120 Vd125) Vd121)) (= Vd121 Vd120))) (forall ((Vd1 $$unsorted)) (not (= (vsucc Vd1) v1))) (forall ((Vd59 $$unsorted)) (= (vplus v1 Vd59) (vsucc Vd59))) _let_16 (forall ((Vd24 $$unsorted)) (=> (not (= v1 Vd24)) (= Vd24 (vsucc (vskolem2 Vd24))))) _let_15 _let_8 (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (not (greater Vd203 Vd204)) (not (less Vd203 Vd204)))) (forall ((Vd249 $$unsorted) (Vd250 $$unsorted)) (= (leq Vd250 Vd249) (or (= Vd249 Vd250) (less Vd250 Vd249)))) (forall ((Vd262 $$unsorted) (Vd263 $$unsorted) (Vd265 $$unsorted)) (=> (and (less Vd263 Vd265) (less Vd262 Vd263)) (less Vd262 Vd265))) (forall ((Vd198 $$unsorted) (Vd199 $$unsorted)) (= (exists ((Vd201 $$unsorted)) (= Vd198 (vplus Vd199 Vd201))) (less Vd199 Vd198))) (forall ((Vd295 $$unsorted) (Vd296 $$unsorted)) (greater (vplus Vd295 Vd296) Vd295)) (forall ((Vd301 $$unsorted) (Vd302 $$unsorted) (Vd303 $$unsorted)) (=> (greater Vd301 Vd302) (greater (vplus Vd301 Vd303) (vplus Vd302 Vd303)))) (forall ((Vd258 $$unsorted) (Vd259 $$unsorted)) (=> (leq Vd258 Vd259) (geq Vd259 Vd258))) (forall ((Vd289 $$unsorted) (Vd290 $$unsorted) (Vd292 $$unsorted)) (=> (and (leq Vd289 Vd290) (leq Vd290 Vd292)) (leq Vd289 Vd292))) (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (not (= Vd203 Vd204)) (not (greater Vd203 Vd204)))) (forall ((Vd16 $$unsorted)) (not (= (vsucc Vd16) Vd16))) (forall ((Vd328 $$unsorted) (Vd329 $$unsorted) (Vd330 $$unsorted)) (=> (= (vplus Vd329 Vd330) (vplus Vd328 Vd330)) (= Vd328 Vd329))) (forall ((Vd203 $$unsorted) (Vd204 $$unsorted)) (or (= Vd204 Vd203) (less Vd203 Vd204) (greater Vd203 Vd204))) (forall ((Vd281 $$unsorted) (Vd282 $$unsorted) (Vd283 $$unsorted)) (=> (or (and (leq Vd281 Vd282) (less Vd282 Vd283)) (and (leq Vd282 Vd283) (less Vd281 Vd282))) (less Vd281 Vd283))) (forall ((Vd328 $$unsorted) (Vd329 $$unsorted) (Vd330 $$unsorted)) (=> (greater (vplus Vd328 Vd330) (vplus Vd329 Vd330)) (greater Vd328 Vd329))) (forall ((Vd3 $$unsorted) (Vd4 $$unsorted)) (=> (= (vsucc Vd3) (vsucc Vd4)) (= Vd4 Vd3))) (forall ((Vd328 $$unsorted) (Vd329 $$unsorted) (Vd330 $$unsorted)) (=> (less (vplus Vd328 Vd330) (vplus Vd329 Vd330)) (less Vd328 Vd329))) (forall ((Vd7 $$unsorted) (Vd8 $$unsorted)) (=> (not (= Vd8 Vd7)) (not (= (vsucc Vd7) (vsucc Vd8))))) _let_4 (forall ((Vd104 $$unsorted) (Vd105 $$unsorted)) (=> (not (= Vd105 Vd104)) (forall ((Vd107 $$unsorted)) (not (= (vplus Vd107 Vd105) (vplus Vd107 Vd104)))))) (forall ((Vd42 $$unsorted) (Vd43 $$unsorted)) (and (= (vplus Vd42 (vsucc Vd43)) (vsucc (vplus Vd42 Vd43))) (= (vsucc Vd42) (vplus Vd42 v1)))) _let_3 (forall ((Vd92 $$unsorted) (Vd93 $$unsorted)) (not (= (vplus Vd92 Vd93) Vd93))) _let_2 _let_1 (forall ((Vd120 $$unsorted) (Vd121 $$unsorted)) (or (not (exists ((Vd123 $$unsorted)) (= (vplus Vd121 Vd123) Vd120))) (not (exists ((Vd125 $$unsorted)) (= Vd121 (vplus Vd120 Vd125)))))) (forall ((Vd46 $$unsorted) (Vd47 $$unsorted) (Vd48 $$unsorted)) (= (vplus (vplus Vd46 Vd47) Vd48) (vplus Vd46 (vplus Vd47 Vd48)))) (forall ((Vd120 $$unsorted) (Vd121 $$unsorted)) (or (not (= Vd120 Vd121)) (not (exists ((Vd123 $$unsorted)) (= (vplus Vd121 Vd123) Vd120))))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 0.17/0.54 % SZS output end Proof for theBenchmark 0.17/0.54 EOF