TSTP Solution File: GRP185-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP185-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:25:04 EDT 2023
% Result : Unsatisfiable 0.21s 0.65s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP185-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.19/0.35 % Computer : n019.cluster.edu
% 0.19/0.35 % Model : x86_64 x86_64
% 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35 % Memory : 8042.1875MB
% 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35 % CPULimit : 300
% 0.19/0.35 % WCLimit : 300
% 0.19/0.35 % DateTime : Tue Aug 29 01:27:28 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.eKBvXG1TPk/cvc5---1.0.5_23324.p...
% 0.21/0.50 ------- get file name : TPTP file name is GRP185-1
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23324.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.65 % SZS status Unsatisfiable for GRP185-1
% 0.21/0.65 % SZS output start Proof for GRP185-1
% 0.21/0.65 (
% 0.21/0.65 (let ((_let_1 (tptp.least_upper_bound tptp.b tptp.identity))) (let ((_let_2 (tptp.least_upper_bound tptp.a tptp.identity))) (let ((_let_3 (tptp.multiply _let_2 _let_1))) (let ((_let_4 (tptp.multiply tptp.a tptp.b))) (let ((_let_5 (tptp.least_upper_bound _let_4 tptp.identity))) (let ((_let_6 (tptp.least_upper_bound _let_5 _let_3))) (let ((_let_7 (not (= _let_6 _let_3)))) (let ((_let_8 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.least_upper_bound Y Z) X) (tptp.least_upper_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.least_upper_bound X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.least_upper_bound X Y) Z))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_14 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_15 (tptp.least_upper_bound tptp.identity tptp.a))) (let ((_let_16 (tptp.greatest_lower_bound tptp.identity _let_15))) (let ((_let_17 (tptp.multiply tptp.a tptp.identity))) (let ((_let_18 (tptp.multiply _let_2 tptp.b))) (let ((_let_19 (tptp.least_upper_bound _let_18 _let_17))) (let ((_let_20 (tptp.least_upper_bound tptp.identity _let_16))) (let ((_let_21 (= (tptp.least_upper_bound _let_19 _let_20) (tptp.least_upper_bound (tptp.least_upper_bound _let_19 tptp.identity) _let_16)))) (let ((_let_22 (_let_12))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (= tptp.identity _let_20))) (let ((_let_25 (tptp.least_upper_bound tptp.identity _let_4))) (let ((_let_26 (tptp.least_upper_bound _let_4 _let_17))) (let ((_let_27 (= (tptp.least_upper_bound tptp.identity _let_26) (tptp.least_upper_bound _let_25 _let_17)))) (let ((_let_28 (= (tptp.least_upper_bound _let_5 _let_26) (tptp.least_upper_bound (tptp.least_upper_bound _let_5 _let_4) _let_17)))) (let ((_let_29 (tptp.multiply tptp.identity tptp.identity))) (let ((_let_30 (tptp.least_upper_bound _let_17 _let_29))) (let ((_let_31 (= (tptp.least_upper_bound _let_18 _let_30) (tptp.least_upper_bound _let_19 _let_29)))) (let ((_let_32 (tptp.greatest_lower_bound _let_4 _let_5))) (let ((_let_33 (tptp.least_upper_bound _let_4 _let_32))) (let ((_let_34 (= (tptp.least_upper_bound tptp.identity _let_33) (tptp.least_upper_bound _let_25 _let_32)))) (let ((_let_35 (tptp.multiply tptp.a _let_1))) (let ((_let_36 (tptp.least_upper_bound tptp.identity _let_35))) (let ((_let_37 (tptp.multiply tptp.identity _let_1))) (let ((_let_38 (tptp.least_upper_bound _let_36 _let_37))) (let ((_let_39 (= _let_38 (tptp.least_upper_bound _let_37 _let_36)))) (let ((_let_40 (tptp.least_upper_bound _let_5 _let_35))) (let ((_let_41 (tptp.least_upper_bound _let_40 _let_37))) (let ((_let_42 (= _let_41 (tptp.least_upper_bound _let_37 _let_40)))) (let ((_let_43 (= _let_36 (tptp.least_upper_bound _let_35 tptp.identity)))) (let ((_let_44 (= tptp.identity _let_29))) (let ((_let_45 (tptp.multiply _let_2 tptp.identity))) (let ((_let_46 (= _let_45 _let_30))) (let ((_let_47 (= _let_35 _let_26))) (let ((_let_48 (= tptp.identity _let_16))) (let ((_let_49 (= _let_4 _let_33))) (let ((_let_50 (tptp.least_upper_bound _let_35 _let_37))) (let ((_let_51 (= (tptp.least_upper_bound tptp.identity _let_50) _let_38))) (let ((_let_52 (= (tptp.least_upper_bound _let_5 _let_50) _let_41))) (let ((_let_53 (= (tptp.least_upper_bound tptp.identity _let_3) (tptp.least_upper_bound _let_3 tptp.identity)))) (let ((_let_54 (= _let_3 _let_50))) (let ((_let_55 (= _let_3 (tptp.least_upper_bound _let_18 _let_45)))) (let ((_let_56 (= _let_4 _let_32))) (let ((_let_57 (= _let_5 _let_25))) (let ((_let_58 (= _let_3 _let_6))) (let ((_let_59 (not _let_21))) (let ((_let_60 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (_let_60))) (let ((_let_63 ((tptp.greatest_lower_bound X Y)))) (let ((_let_64 ((tptp.least_upper_bound X (tptp.least_upper_bound Y Z))))) (let ((_let_65 (_let_13))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 ((tptp.least_upper_bound X Y)))) (let ((_let_68 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (_let_8))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 ((tptp.multiply (tptp.least_upper_bound Y Z) X)))) (let ((_let_73 (_let_9))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 ((tptp.multiply X (tptp.least_upper_bound Y Z))))) (let ((_let_76 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_76))) (let ((_let_79 ((tptp.least_upper_bound X Y)))) (let ((_let_80 (SYMM (ASSUME :args (_let_7))))) (let ((_let_81 (not _let_58))) (let ((_let_82 (and _let_81 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_49 _let_48 _let_47 _let_46 _let_44 _let_43 _let_42 _let_39 _let_34 _let_31 _let_28 _let_27 _let_24))) (let ((_let_83 (APPLY_UF tptp.least_upper_bound))) (let ((_let_84 (ASSUME :args (_let_54)))) (let ((_let_85 (REFL :args (_let_5)))) (let ((_let_86 (ASSUME :args (_let_52)))) (let ((_let_87 (ASSUME :args (_let_42)))) (let ((_let_88 (ASSUME :args (_let_47)))) (let ((_let_89 (ASSUME :args (_let_28)))) (let ((_let_90 (ASSUME :args (_let_56)))) (let ((_let_91 (ASSUME :args (_let_57)))) (let ((_let_92 (SYMM _let_91))) (let ((_let_93 (ASSUME :args (_let_34)))) (let ((_let_94 (ASSUME :args (_let_49)))) (let ((_let_95 (REFL :args (tptp.identity)))) (let ((_let_96 (ASSUME :args (_let_27)))) (let ((_let_97 (ASSUME :args (_let_43)))) (let ((_let_98 (REFL :args (_let_37)))) (let ((_let_99 (ASSUME :args (_let_39)))) (let ((_let_100 (ASSUME :args (_let_51)))) (let ((_let_101 (ASSUME :args (_let_53)))) (let ((_let_102 (ASSUME :args (_let_48)))) (let ((_let_103 (ASSUME :args (_let_55)))) (let ((_let_104 (SYMM _let_103))) (let ((_let_105 (ASSUME :args (_let_46)))) (let ((_let_106 (CONG (REFL :args (_let_18)) (SYMM _let_105) :args _let_83))) (let ((_let_107 (ASSUME :args (_let_31)))) (let ((_let_108 (SYMM _let_107))) (let ((_let_109 (ASSUME :args (_let_44)))) (let ((_let_110 (SYMM (SYMM _let_109)))) (let ((_let_111 (REFL :args (_let_19)))) (let ((_let_112 (ASSUME :args (_let_24)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_19 tptp.identity _let_16 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_22)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_82)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_103 _let_105 _let_107 _let_109 _let_112 _let_80 _let_84 _let_86 _let_87 _let_88 _let_89 _let_91 _let_90 _let_93 _let_94 _let_96 _let_97 _let_99 _let_100 _let_101 _let_102) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_111 (TRANS (SYMM _let_112) _let_110) :args _let_83) _let_108 _let_106 _let_104) (TRANS (CONG (TRANS (CONG _let_111 _let_110 :args _let_83) _let_108 _let_106 _let_104) (SYMM _let_102) :args _let_83) (SYMM _let_101) (CONG _let_95 _let_84 :args _let_83) (SYMM (SYMM _let_100)) (SYMM (SYMM _let_99)) (CONG _let_98 _let_97 :args _let_83) (CONG _let_98 (TRANS (SYMM _let_97) (CONG _let_95 _let_88 :args _let_83) (SYMM (SYMM _let_96)) (CONG (TRANS _let_92 (TRANS _let_91 (CONG _let_95 (SYMM (SYMM _let_94)) :args _let_83) (SYMM (SYMM _let_93)) (CONG _let_92 (SYMM _let_90) :args _let_83))) (REFL :args (_let_17)) :args _let_83) (SYMM _let_89) (CONG _let_85 (SYMM _let_88) :args _let_83)) :args _let_83) (SYMM _let_87) (SYMM _let_86) (CONG _let_85 (SYMM _let_84) :args _let_83)) :args (=)) (FALSE_INTRO _let_80))) :args (_let_55 _let_46 _let_31 _let_44 _let_24 _let_81 _let_54 _let_52 _let_42 _let_47 _let_28 _let_57 _let_56 _let_34 _let_49 _let_27 _let_43 _let_39 _let_51 _let_53 _let_48))) :args (_let_81 _let_57 _let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_49 _let_48 _let_47 _let_46 _let_44 _let_43 _let_42 _let_39 _let_34 _let_31 _let_28 _let_27 _let_24))) :args (true _let_82)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_58))) (REFL :args ((not _let_57))) (REFL :args ((not _let_56))) (REFL :args ((not _let_55))) (REFL :args ((not _let_54))) (REFL :args ((not _let_53))) (REFL :args ((not _let_52))) (REFL :args ((not _let_51))) (REFL :args ((not _let_49))) (REFL :args ((not _let_48))) (REFL :args ((not _let_47))) (REFL :args ((not _let_46))) (REFL :args ((not _let_44))) (REFL :args ((not _let_43))) (REFL :args ((not _let_42))) (REFL :args ((not _let_39))) (REFL :args ((not _let_34))) (REFL :args ((not _let_31))) (REFL :args ((not _let_28))) (REFL :args ((not _let_27))) (REFL :args ((not _let_24))) (REFL :args (_let_59)) :args (or))) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_4 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_65)) _let_66 :args (_let_57 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_4 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_78)) _let_77 :args (_let_56 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_2 tptp.b tptp.identity QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_73)) _let_74 :args (_let_55 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.a tptp.identity _let_1 QUANTIFIERS_INST_E_MATCHING _let_72)) :args _let_70)) _let_71 :args (_let_54 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.identity _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_65)) _let_66 :args (_let_53 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_5 _let_35 _let_37 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_22)) _let_23 :args (_let_52 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.identity _let_35 _let_37 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_22)) _let_23 :args (_let_51 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_4 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)) _let_61 :args (_let_49 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_79)) :args _let_78)) _let_77 :args (_let_48 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.a tptp.b tptp.identity QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_73)) _let_74 :args (_let_47 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.a tptp.identity tptp.identity QUANTIFIERS_INST_E_MATCHING _let_72)) :args _let_70)) _let_71 :args (_let_46 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply tptp.identity X)))) :args (_let_68))) _let_69 :args (_let_44 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.identity _let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_65)) _let_66 :args (_let_43 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_40 _let_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_65)) _let_66 :args (_let_42 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_36 _let_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_65)) _let_66 :args (_let_39 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.identity _let_4 _let_32 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_22)) _let_23 :args (_let_34 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_18 _let_17 _let_29 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_22)) _let_23 :args (_let_31 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_5 _let_4 _let_17 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_22)) _let_23 :args (_let_28 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.identity _let_4 _let_17 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_22)) _let_23 :args (_let_27 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.identity _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)) _let_61 :args (_let_24 false _let_60)) :args (_let_59 true _let_58 false _let_57 false _let_56 false _let_55 false _let_54 false _let_53 false _let_52 false _let_51 false _let_49 false _let_48 false _let_47 false _let_46 false _let_44 false _let_43 false _let_42 false _let_39 false _let_34 false _let_31 false _let_28 false _let_27 false _let_24)) _let_23 :args (false true _let_21 false _let_12)) :args (_let_14 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))) _let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z))) _let_12 (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)) (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)) _let_11 _let_10 _let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z)))) _let_8 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.greatest_lower_bound Y Z) X) (tptp.greatest_lower_bound (tptp.multiply Y X) (tptp.multiply Z X)))) _let_7)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.65 )
% 0.21/0.65 % SZS output end Proof for GRP185-1
% 0.21/0.66 % cvc5---1.0.5 exiting
% 0.21/0.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------