TSTP Solution File: GRP138-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP138-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 00:24:47 EDT 2023
% Result : Unsatisfiable 0.22s 0.60s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GRP138-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 22:51:52 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Mbx1bssSP4/cvc5---1.0.5_13542.p...
% 0.22/0.52 ------- get file name : TPTP file name is GRP138-1
% 0.22/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13542.smt2...
% 0.22/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.60 % SZS status Unsatisfiable for GRP138-1
% 0.22/0.60 % SZS output start Proof for GRP138-1
% 0.22/0.60 (
% 0.22/0.60 (let ((_let_1 (tptp.greatest_lower_bound tptp.a tptp.b))) (let ((_let_2 (tptp.least_upper_bound _let_1 tptp.c))) (let ((_let_3 (not (= _let_2 _let_1)))) (let ((_let_4 (tptp.least_upper_bound tptp.b tptp.c))) (let ((_let_5 (= _let_4 tptp.b))) (let ((_let_6 (tptp.least_upper_bound tptp.a tptp.c))) (let ((_let_7 (= _let_6 tptp.a))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.least_upper_bound X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.least_upper_bound X Y) Z))))) (let ((_let_11 (forall ((X $$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 ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_15 (tptp.least_upper_bound tptp.c tptp.b))) (let ((_let_16 (tptp.least_upper_bound tptp.c _let_1))) (let ((_let_17 (tptp.greatest_lower_bound _let_16 _let_15))) (let ((_let_18 (tptp.greatest_lower_bound _let_17 tptp.c))) (let ((_let_19 (= _let_17 (tptp.least_upper_bound _let_17 _let_18)))) (let ((_let_20 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_21 (tptp.least_upper_bound _let_2 tptp.a))) (let ((_let_22 (= _let_2 (tptp.greatest_lower_bound _let_2 _let_21)))) (let ((_let_23 (tptp.greatest_lower_bound _let_2 tptp.a))) (let ((_let_24 (tptp.greatest_lower_bound _let_23 tptp.b))) (let ((_let_25 (= _let_24 (tptp.greatest_lower_bound tptp.b _let_23)))) (let ((_let_26 (tptp.greatest_lower_bound tptp.c _let_17))) (let ((_let_27 (= _let_26 _let_18))) (let ((_let_28 (tptp.greatest_lower_bound tptp.c _let_16))) (let ((_let_29 (= _let_26 (tptp.greatest_lower_bound _let_28 _let_15)))) (let ((_let_30 (tptp.greatest_lower_bound _let_2 _let_1))) (let ((_let_31 (= _let_30 _let_24))) (let ((_let_32 (tptp.least_upper_bound tptp.a _let_2))) (let ((_let_33 (= _let_32 _let_21))) (let ((_let_34 (= (tptp.greatest_lower_bound tptp.b _let_2) (tptp.greatest_lower_bound _let_2 tptp.b)))) (let ((_let_35 (= tptp.c _let_28))) (let ((_let_36 (= tptp.c (tptp.greatest_lower_bound tptp.c _let_15)))) (let ((_let_37 (tptp.least_upper_bound tptp.a _let_1))) (let ((_let_38 (= _let_32 (tptp.least_upper_bound _let_37 tptp.c)))) (let ((_let_39 (tptp.greatest_lower_bound _let_1 _let_2))) (let ((_let_40 (= _let_39 _let_30))) (let ((_let_41 (= _let_1 _let_39))) (let ((_let_42 (= tptp.a _let_37))) (let ((_let_43 (= _let_2 _let_16))) (let ((_let_44 (= _let_4 _let_15))) (let ((_let_45 (= tptp.b _let_4))) (let ((_let_46 (= tptp.a _let_6))) (let ((_let_47 (= _let_1 _let_2))) (let ((_let_48 (not _let_19))) (let ((_let_49 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_49))) (let ((_let_52 ((tptp.least_upper_bound X Y)))) (let ((_let_53 (_let_13))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 ((tptp.greatest_lower_bound X Y)))) (let ((_let_56 (_let_11))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (_let_12))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 ((tptp.least_upper_bound X Y)))) (let ((_let_61 (_let_10))) (let ((_let_62 (ASSUME :args _let_61))) (let ((_let_63 (_let_14))) (let ((_let_64 ((tptp.greatest_lower_bound X Y)))) (let ((_let_65 (SYMM (ASSUME :args (_let_5))))) (let ((_let_66 (SYMM (ASSUME :args (_let_7))))) (let ((_let_67 (SYMM (ASSUME :args (_let_3))))) (let ((_let_68 (not _let_22))) (let ((_let_69 (not _let_25))) (let ((_let_70 (not _let_27))) (let ((_let_71 (not _let_29))) (let ((_let_72 (not _let_31))) (let ((_let_73 (not _let_33))) (let ((_let_74 (not _let_34))) (let ((_let_75 (not _let_35))) (let ((_let_76 (not _let_36))) (let ((_let_77 (not _let_38))) (let ((_let_78 (not _let_40))) (let ((_let_79 (not _let_41))) (let ((_let_80 (not _let_42))) (let ((_let_81 (not _let_43))) (let ((_let_82 (not _let_44))) (let ((_let_83 (not _let_45))) (let ((_let_84 (not _let_46))) (let ((_let_85 (not _let_47))) (let ((_let_86 (and _let_46 _let_45 _let_85 _let_44 _let_43 _let_42 _let_41 _let_40 _let_38 _let_36 _let_35 _let_34 _let_33 _let_31 _let_29 _let_27 _let_25 _let_22))) (let ((_let_87 (APPLY_UF tptp.least_upper_bound))) (let ((_let_88 (ASSUME :args (_let_36)))) (let ((_let_89 (APPLY_UF tptp.greatest_lower_bound))) (let ((_let_90 (ASSUME :args (_let_35)))) (let ((_let_91 (ASSUME :args (_let_29)))) (let ((_let_92 (ASSUME :args (_let_27)))) (let ((_let_93 (ASSUME :args (_let_41)))) (let ((_let_94 (ASSUME :args (_let_40)))) (let ((_let_95 (ASSUME :args (_let_31)))) (let ((_let_96 (ASSUME :args (_let_25)))) (let ((_let_97 (SYMM _let_66))) (let ((_let_98 (REFL :args (tptp.c)))) (let ((_let_99 (ASSUME :args (_let_42)))) (let ((_let_100 (ASSUME :args (_let_38)))) (let ((_let_101 (ASSUME :args (_let_33)))) (let ((_let_102 (ASSUME :args (_let_22)))) (let ((_let_103 (ASSUME :args (_let_34)))) (let ((_let_104 (ASSUME :args (_let_44)))) (let ((_let_105 (ASSUME :args (_let_43)))) (let ((_let_106 (TRANS (CONG (SYMM _let_105) (TRANS (SYMM _let_104) (SYMM _let_65)) :args _let_89) (SYMM _let_103) (CONG (REFL :args (tptp.b)) (TRANS (SYMM (SYMM _let_102)) (CONG (REFL :args (_let_2)) (TRANS (SYMM _let_101) (SYMM (SYMM _let_100)) (CONG (TRANS (SYMM _let_99) _let_66) _let_98 :args _let_87) (CONG _let_97 _let_98 :args _let_87) _let_97) :args _let_89)) :args _let_89) (SYMM _let_96) (SYMM _let_95) (SYMM _let_94) (SYMM _let_93)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (_let_17 tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_64)) :args _let_63)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_86)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_93 _let_94 _let_95 _let_96 _let_66 _let_99 _let_100 _let_101 _let_102 _let_103 _let_105 _let_65 _let_104 _let_67 _let_88 _let_90 _let_91 _let_92) (SCOPE (FALSE_ELIM (TRANS (CONG _let_106 (CONG _let_106 (TRANS (SYMM _let_92) (SYMM (SYMM _let_91)) (CONG (SYMM _let_90) (REFL :args (_let_15)) :args _let_89) (SYMM _let_88)) :args _let_87) :args (=)) (FALSE_INTRO _let_67))) :args (_let_41 _let_40 _let_31 _let_25 _let_46 _let_42 _let_38 _let_33 _let_22 _let_34 _let_43 _let_45 _let_44 _let_85 _let_36 _let_35 _let_29 _let_27))) :args (_let_46 _let_45 _let_85 _let_44 _let_43 _let_42 _let_41 _let_40 _let_38 _let_36 _let_35 _let_34 _let_33 _let_31 _let_29 _let_27 _let_25 _let_22))) :args (true _let_86)) (CONG (REFL :args (_let_84)) (REFL :args (_let_83)) (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_47))) (REFL :args (_let_82)) (REFL :args (_let_81)) (REFL :args (_let_80)) (REFL :args (_let_79)) (REFL :args (_let_78)) (REFL :args (_let_77)) (REFL :args (_let_76)) (REFL :args (_let_75)) (REFL :args (_let_74)) (REFL :args (_let_73)) (REFL :args (_let_72)) (REFL :args (_let_71)) (REFL :args (_let_70)) (REFL :args (_let_69)) (REFL :args (_let_68)) (REFL :args (_let_48)) :args (or))) :args ((or _let_47 _let_84 _let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_77 _let_76 _let_75 _let_74 _let_73 _let_72 _let_71 _let_70 _let_69 _let_68 _let_48))) _let_67 _let_66 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_58)) _let_59 :args (_let_44 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_1 tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_58)) _let_59 :args (_let_43 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_64)) :args _let_63)) _let_20 :args (_let_42 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_1 tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_41 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_40 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.a _let_1 tptp.c QUANTIFIERS_INST_E_MATCHING ((tptp.least_upper_bound (tptp.least_upper_bound X Y) Z)))) :args _let_61)) _let_62 :args (_let_38 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.c tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_36 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.c _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_35 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.b _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_34 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.a _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_58)) _let_59 :args (_let_33 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_2 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.greatest_lower_bound X (tptp.greatest_lower_bound Y Z))))) :args _let_56)) _let_57 :args (_let_31 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.c _let_16 _let_15 QUANTIFIERS_INST_E_MATCHING ((tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z)))) :args _let_56)) _let_57 :args (_let_29 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.c _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_27 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_23 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_25 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_2 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_51)) _let_50 :args (_let_22 false _let_49)) :args (_let_48 true _let_47 false _let_46 false _let_45 false _let_44 false _let_43 false _let_42 false _let_41 false _let_40 false _let_38 false _let_36 false _let_35 false _let_34 false _let_33 false _let_31 false _let_29 false _let_27 false _let_25 false _let_22)) _let_20 :args (false true _let_19 false _let_14)) :args ((forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) _let_13 _let_12 _let_11 _let_10 (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)) (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)) _let_9 _let_8 (forall ((X $$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)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z)))) (forall ((Y $$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)))) (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 _let_5 _let_3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.60 )
% 0.22/0.60 % SZS output end Proof for GRP138-1
% 0.22/0.61 % cvc5---1.0.5 exiting
% 0.22/0.61 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------