TSTP Solution File: GRP193-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP193-2 : 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 00:25:07 EDT 2023
% Result : Unsatisfiable 10.69s 11.20s
% Output : Proof 10.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP193-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 01:33:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.uBWAMeKmg1/cvc5---1.0.5_28298.p...
% 0.20/0.49 ------- get file name : TPTP file name is GRP193-2
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_28298.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.69/10.86 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.69/11.20 % SZS status Unsatisfiable for GRP193-2
% 10.69/11.20 % SZS output start Proof for GRP193-2
% 10.69/11.21 (
% 10.69/11.21 (let ((_let_1 (tptp.greatest_lower_bound tptp.a tptp.c))) (let ((_let_2 (tptp.multiply tptp.b tptp.c))) (let ((_let_3 (tptp.greatest_lower_bound tptp.a _let_2))) (let ((_let_4 (= _let_3 _let_1))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.greatest_lower_bound tptp.a tptp.b))) (let ((_let_7 (tptp.multiply _let_6 _let_1))) (let ((_let_8 (tptp.greatest_lower_bound _let_3 _let_7))) (let ((_let_9 (= _let_8 _let_3))) (let ((_let_10 (= _let_6 tptp.identity))) (let ((_let_11 (tptp.greatest_lower_bound tptp.identity tptp.b))) (let ((_let_12 (= _let_11 tptp.identity))) (let ((_let_13 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.greatest_lower_bound Y Z) X) (tptp.greatest_lower_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_14 (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z))))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))))) (let ((_let_17 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_18 (= _let_6 (tptp.greatest_lower_bound _let_6 tptp.b)))) (let ((_let_19 (= _let_3 _let_8))) (let ((_let_20 (= _let_1 _let_7))) (let ((_let_21 (tptp.greatest_lower_bound tptp.b tptp.a))) (let ((_let_22 (= _let_6 _let_21))) (let ((_let_23 (tptp.greatest_lower_bound tptp.a tptp.a))) (let ((_let_24 (= tptp.a _let_23))) (let ((_let_25 (= _let_1 (tptp.greatest_lower_bound tptp.c tptp.a)))) (let ((_let_26 (tptp.multiply _let_6 tptp.c))) (let ((_let_27 (= tptp.c _let_26))) (let ((_let_28 (tptp.greatest_lower_bound tptp.b _let_6))) (let ((_let_29 (= _let_28 (tptp.greatest_lower_bound _let_21 tptp.b)))) (let ((_let_30 (tptp.greatest_lower_bound _let_2 tptp.a))) (let ((_let_31 (= _let_3 _let_30))) (let ((_let_32 (tptp.greatest_lower_bound tptp.c _let_2))) (let ((_let_33 (= _let_32 (tptp.greatest_lower_bound _let_2 tptp.c)))) (let ((_let_34 (= (tptp.multiply _let_28 tptp.c) (tptp.greatest_lower_bound _let_2 _let_26)))) (let ((_let_35 (= (tptp.greatest_lower_bound _let_2 _let_23) (tptp.greatest_lower_bound _let_30 tptp.a)))) (let ((_let_36 (= (tptp.greatest_lower_bound tptp.c _let_3) (tptp.greatest_lower_bound _let_3 tptp.c)))) (let ((_let_37 (= (tptp.greatest_lower_bound _let_3 _let_1) (tptp.greatest_lower_bound (tptp.greatest_lower_bound _let_3 tptp.a) tptp.c)))) (let ((_let_38 (= (tptp.greatest_lower_bound tptp.c _let_30) (tptp.greatest_lower_bound _let_32 tptp.a)))) (let ((_let_39 (SYMM (ASSUME :args (_let_10))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_12)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_39 :args ((= tptp.identity _let_11) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_41 (SYMM (ASSUME :args (_let_9))))) (let ((_let_42 (ASSUME :args (_let_5)))) (let ((_let_43 (forall ((X $$unsorted)) (= X (tptp.multiply (tptp.greatest_lower_bound tptp.a tptp.b) X))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_17)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_39 :args ((forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_45 (_let_43))) (let ((_let_46 (_let_16))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (forall ((X $$unsorted)) (= X (tptp.greatest_lower_bound X X))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (_let_15))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (_let_13))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (not _let_38))) (let ((_let_55 (not _let_37))) (let ((_let_56 (not _let_36))) (let ((_let_57 (not _let_35))) (let ((_let_58 (not _let_34))) (let ((_let_59 (not _let_33))) (let ((_let_60 (not _let_31))) (let ((_let_61 (not _let_29))) (let ((_let_62 (not _let_27))) (let ((_let_63 (not _let_25))) (let ((_let_64 (not _let_24))) (let ((_let_65 (not _let_22))) (let ((_let_66 (not _let_20))) (let ((_let_67 (not _let_19))) (let ((_let_68 (not _let_18))) (let ((_let_69 (and _let_5 _let_19 _let_18 _let_20 _let_22 _let_24 _let_25 _let_27 _let_29 _let_31 _let_33 _let_34 _let_35 _let_36 _let_37))) (let ((_let_70 (ASSUME :args (_let_25)))) (let ((_let_71 (APPLY_UF tptp.greatest_lower_bound))) (let ((_let_72 (REFL :args (tptp.a)))) (let ((_let_73 (ASSUME :args (_let_27)))) (let ((_let_74 (REFL :args (tptp.c)))) (let ((_let_75 (ASSUME :args (_let_22)))) (let ((_let_76 (ASSUME :args (_let_29)))) (let ((_let_77 (ASSUME :args (_let_34)))) (let ((_let_78 (REFL :args (_let_2)))) (let ((_let_79 (ASSUME :args (_let_33)))) (let ((_let_80 (ASSUME :args (_let_20)))) (let ((_let_81 (ASSUME :args (_let_37)))) (let ((_let_82 (ASSUME :args (_let_31)))) (let ((_let_83 (SYMM _let_82))) (let ((_let_84 (ASSUME :args (_let_35)))) (let ((_let_85 (ASSUME :args (_let_24)))) (let ((_let_86 (ASSUME :args (_let_36)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_69)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_42 _let_41 _let_80 _let_81 _let_82 _let_84 _let_85 _let_86 _let_70 _let_73 _let_40 _let_75 _let_76 _let_77 _let_79) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_74 _let_83 :args _let_71) (SYMM (SYMM _let_86)) (CONG (TRANS _let_82 (CONG _let_78 (SYMM (SYMM _let_85)) :args _let_71) (SYMM (SYMM _let_84)) (CONG _let_83 _let_72 :args _let_71)) _let_74 :args _let_71) (SYMM _let_81) (CONG (REFL :args (_let_3)) (SYMM (SYMM _let_80)) :args _let_71) (SYMM _let_41)) (TRANS (CONG (TRANS (SYMM (SYMM _let_79)) (CONG _let_78 _let_73 :args _let_71) (SYMM _let_77) (CONG (TRANS (SYMM (SYMM _let_76)) (CONG (SYMM _let_75) (REFL :args (tptp.b)) :args _let_71) (SYMM _let_40)) _let_74 :args (APPLY_UF tptp.multiply)) (SYMM _let_73)) _let_72 :args _let_71) (SYMM _let_70)) :args (=)) (FALSE_INTRO _let_42))) :args (_let_5 _let_19 _let_20 _let_37 _let_31 _let_35 _let_24 _let_36 _let_25 _let_27 _let_18 _let_22 _let_29 _let_34 _let_33))) :args (_let_5 _let_19 _let_18 _let_20 _let_22 _let_24 _let_25 _let_27 _let_29 _let_31 _let_33 _let_34 _let_35 _let_36 _let_37))) :args (true _let_69)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args (_let_67)) (REFL :args (_let_68)) (REFL :args (_let_66)) (REFL :args (_let_65)) (REFL :args (_let_64)) (REFL :args (_let_63)) (REFL :args (_let_62)) (REFL :args (_let_61)) (REFL :args (_let_60)) (REFL :args (_let_59)) (REFL :args (_let_58)) (REFL :args (_let_57)) (REFL :args (_let_56)) (REFL :args (_let_55)) (REFL :args (_let_54)) :args (or))) :args ((or _let_4 _let_68 _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_57 _let_56 _let_55 _let_54))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.c _let_2 tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_50)) _let_51 :args (_let_38 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_3 tptp.a tptp.c QUANTIFIERS_INST_CBQI_PROP)) :args _let_50)) _let_51 :args (_let_37 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.c _let_3 QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_47 :args (_let_36 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_2 tptp.a tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_50)) _let_51 :args (_let_35 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.b _let_6 tptp.c QUANTIFIERS_INST_CBQI_PROP)) :args _let_52)) _let_53 :args (_let_34 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.c _let_2 QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_47 :args (_let_33 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.a _let_2 QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_47 :args (_let_31 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.b tptp.a tptp.b QUANTIFIERS_INST_ENUM)) :args _let_50)) _let_51 :args (_let_29 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.c QUANTIFIERS_INST_ENUM)) :args _let_45)) _let_44 :args (_let_27 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.a tptp.c QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_47 :args (_let_25 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args (_let_48))) _let_49 :args (_let_24 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.a tptp.b QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_47 :args (_let_22 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_45)) _let_44 :args (_let_20 false _let_43)) _let_42 _let_41 _let_40 :args (false false _let_38 false _let_37 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_24 false _let_22 false _let_20 true _let_4 false _let_19 false _let_18)) :args (_let_17 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) _let_16 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))) _let_15 (forall ((X $$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))) (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)) _let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)) (forall ((X $$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)))) _let_13 (= (tptp.greatest_lower_bound tptp.identity tptp.a) tptp.identity) _let_12 (= (tptp.greatest_lower_bound tptp.identity tptp.c) tptp.identity) _let_10 _let_9 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.69/11.21 )
% 10.69/11.21 % SZS output end Proof for GRP193-2
% 10.69/11.21 % cvc5---1.0.5 exiting
% 10.69/11.21 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------