TSTP Solution File: GRP175-4 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP175-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 00:24:59 EDT 2023
% Result : Unsatisfiable 0.20s 0.60s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP175-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 19:44:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.7riLYQoS8X/cvc5---1.0.5_5101.p...
% 0.20/0.50 ------- get file name : TPTP file name is GRP175-4
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5101.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.60 % SZS status Unsatisfiable for GRP175-4
% 0.20/0.60 % SZS output start Proof for GRP175-4
% 0.20/0.60 (
% 0.20/0.60 (let ((_let_1 (tptp.multiply tptp.b tptp.a))) (let ((_let_2 (tptp.inverse tptp.a))) (let ((_let_3 (tptp.multiply _let_2 _let_1))) (let ((_let_4 (tptp.least_upper_bound tptp.identity _let_3))) (let ((_let_5 (not (= _let_4 _let_3)))) (let ((_let_6 (tptp.greatest_lower_bound tptp.identity tptp.b))) (let ((_let_7 (= _let_6 tptp.identity))) (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 $$unsorted)) (= (tptp.greatest_lower_bound X X) X)))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))))) (let ((_let_16 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_17 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_18 (= tptp.identity _let_6))) (let ((_let_19 (= _let_3 _let_4))) (let ((_let_20 (tptp.multiply _let_2 tptp.a))) (let ((_let_21 (= tptp.identity _let_20))) (let ((_let_22 (tptp.greatest_lower_bound tptp.b tptp.identity))) (let ((_let_23 (= _let_6 _let_22))) (let ((_let_24 (= tptp.b (tptp.greatest_lower_bound tptp.b tptp.b)))) (let ((_let_25 (tptp.least_upper_bound tptp.b _let_22))) (let ((_let_26 (= tptp.b _let_25))) (let ((_let_27 (= (tptp.multiply _let_2 (tptp.least_upper_bound tptp.a _let_1)) (tptp.least_upper_bound _let_20 _let_3)))) (let ((_let_28 (tptp.least_upper_bound _let_22 tptp.b))) (let ((_let_29 (= _let_25 _let_28))) (let ((_let_30 (tptp.multiply _let_2 tptp.b))) (let ((_let_31 (tptp.least_upper_bound _let_2 _let_30))) (let ((_let_32 (= _let_31 (tptp.least_upper_bound _let_30 _let_2)))) (let ((_let_33 (= tptp.a (tptp.least_upper_bound tptp.a tptp.a)))) (let ((_let_34 (= _let_2 (tptp.least_upper_bound _let_2 _let_2)))) (let ((_let_35 (tptp.greatest_lower_bound _let_2 _let_31))) (let ((_let_36 (= _let_2 _let_35))) (let ((_let_37 (= _let_35 (tptp.greatest_lower_bound _let_31 _let_2)))) (let ((_let_38 (tptp.multiply _let_22 tptp.a))) (let ((_let_39 (= (tptp.multiply _let_28 tptp.a) (tptp.least_upper_bound _let_38 _let_1)))) (let ((_let_40 (= tptp.a (tptp.multiply tptp.identity tptp.a)))) (let ((_let_41 (SYMM (ASSUME :args (_let_7))))) (let ((_let_42 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (_let_15))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 ((tptp.greatest_lower_bound X Y)))) (let ((_let_47 (forall ((X $$unsorted)) (= X (tptp.greatest_lower_bound X X))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_9))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (_let_14))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 ((tptp.least_upper_bound X Y)))) (let ((_let_56 (forall ((X $$unsorted)) (= X (tptp.least_upper_bound X X))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (_let_56))) (let ((_let_59 ((tptp.least_upper_bound X X)))) (let ((_let_60 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (_let_8))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (and _let_18 _let_21 _let_23 _let_24 _let_26 _let_27 _let_29 _let_32 _let_33 _let_34 _let_36 _let_37 _let_39 _let_40))) (let ((_let_67 (APPLY_UF tptp.least_upper_bound))) (let ((_let_68 (ASSUME :args (_let_21)))) (let ((_let_69 (ASSUME :args (_let_27)))) (let ((_let_70 (APPLY_UF tptp.multiply))) (let ((_let_71 (REFL :args (_let_1)))) (let ((_let_72 (ASSUME :args (_let_33)))) (let ((_let_73 (REFL :args (tptp.a)))) (let ((_let_74 (ASSUME :args (_let_24)))) (let ((_let_75 (CONG (SYMM _let_74) _let_73 :args _let_70))) (let ((_let_76 (ASSUME :args (_let_26)))) (let ((_let_77 (ASSUME :args (_let_29)))) (let ((_let_78 (CONG (TRANS (TRANS (SYMM _let_77) (SYMM _let_76)) _let_74) _let_73 :args _let_70))) (let ((_let_79 (ASSUME :args (_let_39)))) (let ((_let_80 (TRANS (SYMM _let_79) _let_78 _let_75))) (let ((_let_81 (ASSUME :args (_let_40)))) (let ((_let_82 (ASSUME :args (_let_23)))) (let ((_let_83 (ASSUME :args (_let_36)))) (let ((_let_84 (ASSUME :args (_let_37)))) (let ((_let_85 (ASSUME :args (_let_34)))) (let ((_let_86 (ASSUME :args (_let_32)))) (let ((_let_87 (TRANS (CONG (SYMM _let_86) (SYMM _let_85) :args (APPLY_UF tptp.greatest_lower_bound)) (SYMM _let_84) (SYMM _let_83)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_66)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_68 _let_69 _let_83 _let_84 _let_86 _let_85 _let_72 _let_81 _let_41 _let_82 _let_74 _let_76 _let_77 _let_79) (SCOPE (TRANS (CONG (SYMM _let_87) _let_71 :args _let_70) (CONG _let_87 (TRANS (SYMM _let_75) (SYMM _let_78) _let_79 (CONG (REFL :args (_let_38)) (SYMM _let_80) :args _let_67) (CONG (TRANS (TRANS (CONG (TRANS (SYMM _let_82) (SYMM _let_41)) _let_73 :args _let_70) (SYMM _let_81)) _let_72) _let_80 :args _let_67) (CONG (SYMM _let_72) _let_71 :args _let_67)) :args _let_70) (SYMM (SYMM _let_69)) (CONG (SYMM _let_68) (REFL :args (_let_3)) :args _let_67)) :args (_let_21 _let_27 _let_36 _let_37 _let_32 _let_34 _let_33 _let_40 _let_18 _let_23 _let_24 _let_26 _let_29 _let_39))) :args (_let_18 _let_21 _let_23 _let_24 _let_26 _let_27 _let_29 _let_32 _let_33 _let_34 _let_36 _let_37 _let_39 _let_40))) :args (true _let_66)) :args ((or _let_19 (not _let_18) (not _let_21) (not _let_23) (not _let_24) (not _let_26) (not _let_27) (not _let_29) (not _let_32) (not _let_33) (not _let_34) (not _let_36) (not _let_37) (not _let_39) (not _let_40)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply tptp.identity X)))) :args (_let_64))) _let_65 :args (_let_40 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_22 tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.least_upper_bound Y Z) X)))) :args _let_62)) _let_63 :args (_let_39 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_2 _let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_44)) _let_45 :args (_let_37 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_2 _let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.least_upper_bound X Y)))) :args (_let_60))) _let_61 :args (_let_36 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _let_57 :args (_let_34 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_58)) _let_57 :args (_let_33 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_2 _let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_32 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.b _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_53)) _let_54 :args (_let_29 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_2 tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.least_upper_bound (tptp.multiply X Y) (tptp.multiply X Z))))) :args _let_51)) _let_52 :args (_let_27 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.b tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X Y)))) :args (_let_49))) _let_50 :args (_let_26 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X X)))) :args (_let_47))) _let_48 :args (_let_24 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.identity tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_44)) _let_45 :args (_let_23 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X)))) :args (_let_42))) _let_43 :args (_let_21 false _let_42)) (SYMM (ASSUME :args (_let_5))) _let_41 :args (false false _let_40 false _let_39 false _let_37 false _let_36 false _let_34 false _let_33 false _let_32 false _let_29 false _let_27 false _let_26 false _let_24 false _let_23 false _let_21 true _let_19 false _let_18)) :args (_let_17 _let_16 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) _let_15 _let_14 (forall ((X $$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))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.least_upper_bound X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.least_upper_bound X Y) Z))) _let_13 _let_12 _let_11 _let_10 _let_9 (forall ((X $$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 _let_5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.60 )
% 0.20/0.61 % SZS output end Proof for GRP175-4
% 0.20/0.61 % cvc5---1.0.5 exiting
% 0.20/0.61 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------