TSTP Solution File: GRP192-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP192-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 10.53s 10.79s
% Output : Proof 10.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP192-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n027.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 01:29:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.3vFaPLJkFX/cvc5---1.0.5_15500.p...
% 0.19/0.50 ------- get file name : TPTP file name is GRP192-1
% 0.19/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15500.smt2...
% 0.19/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.52/10.71 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.53/10.79 % SZS status Unsatisfiable for GRP192-1
% 10.53/10.79 % SZS output start Proof for GRP192-1
% 10.53/10.79 (
% 10.53/10.79 (let ((_let_1 (= (tptp.multiply tptp.a tptp.b) (tptp.multiply tptp.b tptp.a)))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.least_upper_bound tptp.identity X) X)))) (let ((_let_4 (forall ((Y $$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_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (let ((_let_9 (tptp.least_upper_bound tptp.identity tptp.a))) (let ((_let_10 (= _let_9 (tptp.least_upper_bound tptp.a tptp.identity)))) (let ((_let_11 (= tptp.a _let_9))) (let ((_let_12 (tptp.least_upper_bound tptp.identity tptp.b))) (let ((_let_13 (= tptp.b _let_12))) (let ((_let_14 (tptp.multiply tptp.identity tptp.b))) (let ((_let_15 (= tptp.b _let_14))) (let ((_let_16 (tptp.inverse tptp.b))) (let ((_let_17 (tptp.multiply _let_16 tptp.b))) (let ((_let_18 (= tptp.identity _let_17))) (let ((_let_19 (= _let_12 (tptp.least_upper_bound tptp.b tptp.identity)))) (let ((_let_20 (tptp.least_upper_bound tptp.identity _let_16))) (let ((_let_21 (= _let_16 _let_20))) (let ((_let_22 (tptp.multiply tptp.identity tptp.a))) (let ((_let_23 (= tptp.a _let_22))) (let ((_let_24 (tptp.inverse tptp.a))) (let ((_let_25 (tptp.multiply _let_24 tptp.a))) (let ((_let_26 (= tptp.identity _let_25))) (let ((_let_27 (= (tptp.multiply _let_20 tptp.b) (tptp.least_upper_bound _let_14 _let_17)))) (let ((_let_28 (tptp.least_upper_bound tptp.identity _let_24))) (let ((_let_29 (= _let_24 _let_28))) (let ((_let_30 (= (tptp.multiply _let_28 tptp.a) (tptp.least_upper_bound _let_22 _let_25)))) (let ((_let_31 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (_let_31))) (let ((_let_34 (_let_5))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (forall ((X $$unsorted)) (= X (tptp.least_upper_bound tptp.identity X))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (_let_36))) (let ((_let_39 (tptp.b QUANTIFIERS_INST_ENUM))) (let ((_let_40 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (_let_40))) (let ((_let_43 (tptp.a QUANTIFIERS_INST_ENUM))) (let ((_let_44 (_let_4))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 (and _let_8 _let_10 _let_11 _let_13 _let_15 _let_18 _let_19 _let_21 _let_23 _let_26 _let_27 _let_29 _let_30))) (let ((_let_47 (APPLY_UF tptp.multiply))) (let ((_let_48 (REFL :args (tptp.a)))) (let ((_let_49 (ASSUME :args (_let_13)))) (let ((_let_50 (ASSUME :args (_let_19)))) (let ((_let_51 (APPLY_UF tptp.least_upper_bound))) (let ((_let_52 (ASSUME :args (_let_18)))) (let ((_let_53 (ASSUME :args (_let_15)))) (let ((_let_54 (ASSUME :args (_let_27)))) (let ((_let_55 (ASSUME :args (_let_21)))) (let ((_let_56 (TRANS _let_52 (CONG (SYMM (SYMM _let_55)) (REFL :args (tptp.b)) :args _let_47) (SYMM (SYMM _let_54)) (CONG (SYMM _let_53) (SYMM _let_52) :args _let_51) (SYMM _let_50) (SYMM _let_49)))) (let ((_let_57 (ASSUME :args (_let_23)))) (let ((_let_58 (SYMM _let_57))) (let ((_let_59 (ASSUME :args (_let_11)))) (let ((_let_60 (ASSUME :args (_let_10)))) (let ((_let_61 (ASSUME :args (_let_26)))) (let ((_let_62 (SYMM _let_61))) (let ((_let_63 (CONG _let_58 _let_62 :args _let_51))) (let ((_let_64 (ASSUME :args (_let_30)))) (let ((_let_65 (SYMM _let_64))) (let ((_let_66 (ASSUME :args (_let_29)))) (let ((_let_67 (CONG (SYMM (SYMM _let_66)) _let_48 :args _let_47))) (let ((_let_68 (ASSUME :args (_let_8)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_46)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_49 _let_50 _let_53 _let_52 _let_54 _let_55 _let_57 _let_59 _let_60 _let_61 _let_64 _let_66 _let_68) (SCOPE (TRANS (CONG (TRANS _let_59 _let_60 (SYMM _let_63) _let_65 (SYMM _let_67) _let_62) (SYMM _let_56) :args _let_47) (SYMM _let_68) _let_61 _let_67 (SYMM _let_65) _let_63 (SYMM _let_60) (SYMM _let_59) (SYMM _let_58) (CONG _let_56 _let_48 :args _let_47)) :args (_let_13 _let_19 _let_15 _let_18 _let_27 _let_21 _let_23 _let_11 _let_10 _let_26 _let_30 _let_29 _let_8))) :args (_let_8 _let_10 _let_11 _let_13 _let_15 _let_18 _let_19 _let_21 _let_23 _let_26 _let_27 _let_29 _let_30))) :args (true _let_46)) :args ((or _let_1 (not _let_8) (not _let_10) (not _let_11) (not _let_13) (not _let_15) (not _let_18) (not _let_19) (not _let_21) (not _let_23) (not _let_26) (not _let_27) (not _let_29) (not _let_30)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.identity _let_24 tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_44)) _let_45 :args (_let_30 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_24 QUANTIFIERS_INST_ENUM)) :args _let_38)) _let_37 :args (_let_29 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.identity _let_16 tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_44)) _let_45 :args (_let_27 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args _let_43) :args _let_42)) _let_41 :args (_let_26 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args _let_43) :args _let_33)) _let_32 :args (_let_23 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_16 QUANTIFIERS_INST_ENUM)) :args _let_38)) _let_37 :args (_let_21 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.identity tptp.b QUANTIFIERS_INST_ENUM)) :args _let_34)) _let_35 :args (_let_19 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args _let_39) :args _let_42)) _let_41 :args (_let_18 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args _let_39) :args _let_33)) _let_32 :args (_let_15 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args _let_39) :args _let_38)) _let_37 :args (_let_13 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_38)) _let_37 :args (_let_11 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.identity tptp.a QUANTIFIERS_INST_ENUM)) :args _let_34)) _let_35 :args (_let_10 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_33)) _let_32 :args (_let_8 false _let_31)) (ASSUME :args (_let_2)) :args (false false _let_30 false _let_29 false _let_27 false _let_26 false _let_23 false _let_21 false _let_19 false _let_18 false _let_15 false _let_13 false _let_11 false _let_10 false _let_8 true _let_1)) :args (_let_7 _let_6 (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_5 (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))) (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)) (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)))) _let_4 (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_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.53/10.79 )
% 10.53/10.79 % SZS output end Proof for GRP192-1
% 10.53/10.79 % cvc5---1.0.5 exiting
% 10.53/10.79 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------