TSTP Solution File: GRP172-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP172-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 00:24:57 EDT 2023
% Result : Unsatisfiable 0.19s 0.60s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP172-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n023.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 02:56:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.47 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.0khEC8u0oc/cvc5---1.0.5_22198.p...
% 0.19/0.48 ------- get file name : TPTP file name is GRP172-1
% 0.19/0.48 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22198.smt2...
% 0.19/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.60 % SZS status Unsatisfiable for GRP172-1
% 0.19/0.60 % SZS output start Proof for GRP172-1
% 0.19/0.61 (
% 0.19/0.61 (let ((_let_1 (tptp.multiply tptp.a tptp.b))) (let ((_let_2 (tptp.greatest_lower_bound tptp.identity _let_1))) (let ((_let_3 (not (= _let_2 tptp.identity)))) (let ((_let_4 (tptp.greatest_lower_bound tptp.identity tptp.b))) (let ((_let_5 (= _let_4 tptp.identity))) (let ((_let_6 (tptp.greatest_lower_bound tptp.identity tptp.a))) (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 $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))))) (let ((_let_15 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_16 (= tptp.identity _let_6))) (let ((_let_17 (= tptp.identity _let_4))) (let ((_let_18 (= tptp.identity _let_2))) (let ((_let_19 (tptp.greatest_lower_bound tptp.a tptp.identity))) (let ((_let_20 (= _let_6 _let_19))) (let ((_let_21 (tptp.greatest_lower_bound tptp.b tptp.a))) (let ((_let_22 (tptp.greatest_lower_bound tptp.identity _let_21))) (let ((_let_23 (= _let_22 (tptp.greatest_lower_bound _let_4 tptp.a)))) (let ((_let_24 (tptp.greatest_lower_bound tptp.b _let_1))) (let ((_let_25 (= (tptp.greatest_lower_bound tptp.identity _let_24) (tptp.greatest_lower_bound _let_4 _let_1)))) (let ((_let_26 (= _let_22 (tptp.greatest_lower_bound _let_21 tptp.identity)))) (let ((_let_27 (= tptp.b (tptp.greatest_lower_bound tptp.b tptp.b)))) (let ((_let_28 (tptp.least_upper_bound tptp.a _let_19))) (let ((_let_29 (= tptp.a _let_28))) (let ((_let_30 (tptp.multiply _let_19 tptp.b))) (let ((_let_31 (tptp.least_upper_bound _let_1 _let_30))) (let ((_let_32 (= (tptp.multiply _let_28 tptp.b) _let_31))) (let ((_let_33 (= tptp.b (tptp.multiply tptp.identity tptp.b)))) (let ((_let_34 (tptp.least_upper_bound _let_30 _let_1))) (let ((_let_35 (= _let_31 _let_34))) (let ((_let_36 (= _let_30 (tptp.greatest_lower_bound _let_30 _let_34)))) (let ((_let_37 (SYMM (ASSUME :args (_let_7))))) (let ((_let_38 (SYMM (ASSUME :args (_let_5))))) (let ((_let_39 (_let_14))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 ((tptp.greatest_lower_bound X Y)))) (let ((_let_42 (_let_12))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 ((tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z)))) (let ((_let_45 (forall ((X $$unsorted)) (= X (tptp.greatest_lower_bound X X))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_8))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (_let_13))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (and _let_16 _let_17 _let_20 _let_23 _let_25 _let_26 _let_27 _let_29 _let_32 _let_33 _let_35 _let_36))) (let ((_let_58 (APPLY_UF tptp.greatest_lower_bound))) (let ((_let_59 (REFL :args (_let_1)))) (let ((_let_60 (SYMM _let_38))) (let ((_let_61 (ASSUME :args (_let_25)))) (let ((_let_62 (SYMM _let_37))) (let ((_let_63 (ASSUME :args (_let_23)))) (let ((_let_64 (ASSUME :args (_let_26)))) (let ((_let_65 (TRANS (SYMM _let_64) (SYMM (SYMM _let_63)) (CONG _let_60 (REFL :args (tptp.a)) :args _let_58) _let_62))) (let ((_let_66 (ASSUME :args (_let_27)))) (let ((_let_67 (APPLY_UF tptp.multiply))) (let ((_let_68 (REFL :args (tptp.b)))) (let ((_let_69 (ASSUME :args (_let_29)))) (let ((_let_70 (ASSUME :args (_let_32)))) (let ((_let_71 (ASSUME :args (_let_35)))) (let ((_let_72 (ASSUME :args (_let_33)))) (let ((_let_73 (ASSUME :args (_let_20)))) (let ((_let_74 (CONG (TRANS (SYMM _let_73) _let_62) _let_68 :args _let_67))) (let ((_let_75 (ASSUME :args (_let_36)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_57)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_38 _let_61 _let_37 _let_63 _let_64 _let_66 _let_72 _let_73 _let_69 _let_70 _let_71 _let_75) (SCOPE (TRANS _let_38 (CONG (SYMM _let_65) (TRANS _let_72 (SYMM _let_74) (SYMM (SYMM _let_75)) (CONG (TRANS (TRANS _let_74 (SYMM _let_72)) _let_66) (TRANS (SYMM _let_71) (SYMM _let_70) (CONG (SYMM _let_69) _let_68 :args _let_67)) :args _let_58) (CONG (SYMM _let_66) _let_59 :args _let_58)) :args _let_58) (CONG _let_65 (REFL :args (_let_24)) :args _let_58) (SYMM (SYMM _let_61)) (CONG _let_60 _let_59 :args _let_58)) :args (_let_17 _let_25 _let_16 _let_23 _let_26 _let_27 _let_33 _let_20 _let_29 _let_32 _let_35 _let_36))) :args (_let_16 _let_17 _let_20 _let_23 _let_25 _let_26 _let_27 _let_29 _let_32 _let_33 _let_35 _let_36))) :args (true _let_57)) :args ((or _let_18 (not _let_16) (not _let_17) (not _let_20) (not _let_23) (not _let_25) (not _let_26) (not _let_27) (not _let_29) (not _let_32) (not _let_33) (not _let_35) (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_30 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.least_upper_bound X Y)))) :args (_let_55))) _let_56 :args (_let_36 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (_let_1 _let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.least_upper_bound X Y)))) :args _let_53)) _let_54 :args (_let_35 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply tptp.identity X)))) :args (_let_51))) _let_52 :args (_let_33 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.a _let_19 tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.least_upper_bound Y Z) X)))) :args _let_49)) _let_50 :args (_let_32 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X Y)))) :args (_let_47))) _let_48 :args (_let_29 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X X)))) :args (_let_45))) _let_46 :args (_let_27 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.identity _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_26 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.identity tptp.b _let_1 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_42)) _let_43 :args (_let_25 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.identity tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_42)) _let_43 :args (_let_23 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_20 false _let_14)) (SYMM (ASSUME :args (_let_3))) _let_38 _let_37 :args (false false _let_36 false _let_35 false _let_33 false _let_32 false _let_29 false _let_27 false _let_26 false _let_25 false _let_23 false _let_20 true _let_18 false _let_17 false _let_16)) :args (_let_15 (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_14 _let_13 _let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.least_upper_bound X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.least_upper_bound X Y) Z))) (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)) _let_11 _let_10 _let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.multiply X Y) (tptp.multiply X Z)))) (forall ((X $$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 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.61 )
% 0.19/0.61 % SZS output end Proof for GRP172-1
% 0.42/0.61 % cvc5---1.0.5 exiting
% 0.42/0.61 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------