TSTP Solution File: GRP185-3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP185-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 3.57s 3.79s
% Output : Proof 3.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP185-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n029.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 : Mon Aug 28 20:18:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.a2ofyvlkQb/cvc5---1.0.5_5142.p...
% 0.19/0.49 ------- get file name : TPTP file name is GRP185-3
% 0.19/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5142.smt2...
% 0.19/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 3.57/3.79 % SZS status Unsatisfiable for GRP185-3
% 3.57/3.79 % SZS output start Proof for GRP185-3
% 3.57/3.79 (
% 3.57/3.79 (let ((_let_1 (tptp.multiply tptp.a tptp.b))) (let ((_let_2 (tptp.least_upper_bound _let_1 tptp.identity))) (let ((_let_3 (tptp.least_upper_bound tptp.b tptp.identity))) (let ((_let_4 (tptp.multiply (tptp.least_upper_bound tptp.a tptp.identity) _let_3))) (let ((_let_5 (tptp.greatest_lower_bound _let_2 _let_4))) (let ((_let_6 (not (= _let_5 _let_2)))) (let ((_let_7 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.least_upper_bound Y Z) X) (tptp.least_upper_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_8 (forall ((X $$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)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_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 $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_14 (tptp.multiply tptp.a tptp.identity))) (let ((_let_15 (tptp.least_upper_bound _let_14 tptp.b))) (let ((_let_16 (tptp.least_upper_bound tptp.identity _let_1))) (let ((_let_17 (tptp.least_upper_bound _let_16 _let_15))) (let ((_let_18 (= _let_16 (tptp.greatest_lower_bound _let_16 _let_17)))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (tptp.least_upper_bound _let_15 _let_16))) (let ((_let_21 (= _let_20 _let_17))) (let ((_let_22 (tptp.least_upper_bound tptp.b _let_16))) (let ((_let_23 (= (tptp.least_upper_bound _let_14 _let_22) _let_20))) (let ((_let_24 (= _let_22 (tptp.least_upper_bound _let_3 _let_1)))) (let ((_let_25 (tptp.multiply tptp.identity _let_3))) (let ((_let_26 (tptp.least_upper_bound _let_25 _let_1))) (let ((_let_27 (tptp.least_upper_bound _let_26 _let_14))) (let ((_let_28 (= _let_27 (tptp.least_upper_bound _let_14 _let_26)))) (let ((_let_29 (tptp.least_upper_bound _let_1 _let_14))) (let ((_let_30 (= (tptp.least_upper_bound _let_25 _let_29) _let_27))) (let ((_let_31 (tptp.multiply tptp.a _let_3))) (let ((_let_32 (= _let_31 _let_29))) (let ((_let_33 (tptp.least_upper_bound _let_31 _let_25))) (let ((_let_34 (= _let_33 (tptp.least_upper_bound _let_25 _let_31)))) (let ((_let_35 (= _let_3 _let_25))) (let ((_let_36 (= _let_4 _let_33))) (let ((_let_37 (= _let_2 _let_16))) (let ((_let_38 (= _let_2 _let_5))) (let ((_let_39 (not _let_18))) (let ((_let_40 (_let_11))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 ((tptp.least_upper_bound X Y)))) (let ((_let_43 (_let_10))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 ((tptp.least_upper_bound X (tptp.least_upper_bound Y Z))))) (let ((_let_46 (_let_8))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (_let_7))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (SYMM (ASSUME :args (_let_6))))) (let ((_let_53 (not _let_38))) (let ((_let_54 (and _let_53 _let_37 _let_36 _let_35 _let_34 _let_32 _let_30 _let_28 _let_24 _let_23 _let_21))) (let ((_let_55 (ASSUME :args (_let_36)))) (let ((_let_56 (ASSUME :args (_let_34)))) (let ((_let_57 (APPLY_UF tptp.least_upper_bound))) (let ((_let_58 (ASSUME :args (_let_32)))) (let ((_let_59 (ASSUME :args (_let_30)))) (let ((_let_60 (ASSUME :args (_let_28)))) (let ((_let_61 (ASSUME :args (_let_35)))) (let ((_let_62 (ASSUME :args (_let_24)))) (let ((_let_63 (ASSUME :args (_let_23)))) (let ((_let_64 (ASSUME :args (_let_21)))) (let ((_let_65 (ASSUME :args (_let_37)))) (let ((_let_66 (SYMM _let_65))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_16 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.least_upper_bound X Y)))) :args (_let_13))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_54)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_65 _let_52 _let_55 _let_56 _let_58 _let_59 _let_60 _let_61 _let_62 _let_63 _let_64) (SCOPE (FALSE_ELIM (TRANS (CONG _let_66 (CONG _let_66 (TRANS (SYMM _let_64) (SYMM _let_63) (CONG (REFL :args (_let_14)) (TRANS (SYMM (SYMM _let_62)) (CONG (SYMM (SYMM _let_61)) (REFL :args (_let_1)) :args _let_57)) :args _let_57) (SYMM _let_60) (SYMM _let_59) (CONG (REFL :args (_let_25)) (SYMM _let_58) :args _let_57) (SYMM _let_56) (SYMM _let_55)) :args (APPLY_UF tptp.greatest_lower_bound)) :args (=)) (FALSE_INTRO _let_52))) :args (_let_37 _let_53 _let_36 _let_34 _let_32 _let_30 _let_28 _let_35 _let_24 _let_23 _let_21))) :args (_let_53 _let_37 _let_36 _let_35 _let_34 _let_32 _let_30 _let_28 _let_24 _let_23 _let_21))) :args (true _let_54)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_38))) (REFL :args ((not _let_37))) (REFL :args ((not _let_36))) (REFL :args ((not _let_35))) (REFL :args ((not _let_34))) (REFL :args ((not _let_32))) (REFL :args ((not _let_30))) (REFL :args ((not _let_28))) (REFL :args ((not _let_24))) (REFL :args ((not _let_23))) (REFL :args ((not _let_21))) (REFL :args (_let_39)) :args (or))) _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_1 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_37 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.a tptp.identity _let_3 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.least_upper_bound Y Z) X)))) :args _let_50)) _let_51 :args (_let_36 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply tptp.identity X)))) :args (_let_48))) _let_49 :args (_let_35 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_31 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_34 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.a tptp.b tptp.identity QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.least_upper_bound Y Z))))) :args _let_46)) _let_47 :args (_let_32 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_25 _let_1 _let_14 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_43)) _let_44 :args (_let_30 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_26 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_28 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.b tptp.identity _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.least_upper_bound (tptp.least_upper_bound X Y) Z)))) :args _let_43)) _let_44 :args (_let_24 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_14 tptp.b _let_16 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_43)) _let_44 :args (_let_23 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_15 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_40)) _let_41 :args (_let_21 false _let_11)) :args (_let_39 true _let_38 false _let_37 false _let_36 false _let_35 false _let_34 false _let_32 false _let_30 false _let_28 false _let_24 false _let_23 false _let_21)) _let_19 :args (false true _let_18 false _let_13)) :args (_let_12 (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 $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))) _let_11 (forall ((X $$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_10 (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)) (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)) _let_9 _let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z)))) _let_7 (forall ((Y $$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_6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 3.57/3.79 )
% 3.57/3.81 % SZS output end Proof for GRP185-3
% 3.57/3.81 % cvc5---1.0.5 exiting
% 3.57/3.81 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------