TSTP Solution File: GRP174-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP174-1 : 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 00:24:58 EDT 2023
% Result : Unsatisfiable 0.18s 0.50s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP174-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.11 % Command : do_cvc5 %s %d
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 01:48:53 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.18/0.46 %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.46 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ZsVSQHLLdJ/cvc5---1.0.5_20036.p...
% 0.18/0.47 ------- get file name : TPTP file name is GRP174-1
% 0.18/0.47 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20036.smt2...
% 0.18/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.50 % SZS status Unsatisfiable for GRP174-1
% 0.18/0.50 % SZS output start Proof for GRP174-1
% 0.18/0.51 (
% 0.18/0.51 (let ((_let_1 (= tptp.identity tptp.a))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.inverse tptp.a))) (let ((_let_4 (tptp.greatest_lower_bound tptp.identity _let_3))) (let ((_let_5 (= _let_4 _let_3))) (let ((_let_6 (tptp.greatest_lower_bound tptp.identity tptp.a))) (let ((_let_7 (= _let_6 tptp.a))) (let ((_let_8 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.greatest_lower_bound Y Z) X) (tptp.greatest_lower_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_14 (= tptp.a _let_6))) (let ((_let_15 (= _let_3 _let_4))) (let ((_let_16 (tptp.multiply _let_3 tptp.a))) (let ((_let_17 (= tptp.identity _let_16))) (let ((_let_18 (= _let_6 (tptp.greatest_lower_bound tptp.a tptp.identity)))) (let ((_let_19 (tptp.greatest_lower_bound tptp.identity tptp.identity))) (let ((_let_20 (tptp.greatest_lower_bound _let_19 _let_3))) (let ((_let_21 (= (tptp.greatest_lower_bound tptp.identity _let_4) _let_20))) (let ((_let_22 (= tptp.identity _let_19))) (let ((_let_23 (tptp.multiply _let_19 tptp.a))) (let ((_let_24 (= (tptp.multiply _let_20 tptp.a) (tptp.greatest_lower_bound _let_23 _let_16)))) (let ((_let_25 (= (tptp.greatest_lower_bound _let_16 _let_16) (tptp.multiply (tptp.greatest_lower_bound _let_3 _let_3) tptp.a)))) (let ((_let_26 (= tptp.a (tptp.multiply tptp.identity tptp.a)))) (let ((_let_27 (SYMM (ASSUME :args (_let_7))))) (let ((_let_28 (SYMM (ASSUME :args (_let_5))))) (let ((_let_29 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (_let_11))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (_let_10))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (forall ((X $$unsorted)) (= X (tptp.greatest_lower_bound X X))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (_let_8))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (and _let_14 _let_15 _let_17 _let_18 _let_21 _let_22 _let_24 _let_25 _let_26))) (let ((_let_42 (ASSUME :args (_let_18)))) (let ((_let_43 (APPLY_UF tptp.greatest_lower_bound))) (let ((_let_44 (ASSUME :args (_let_22)))) (let ((_let_45 (SYMM _let_44))) (let ((_let_46 (ASSUME :args (_let_17)))) (let ((_let_47 (SYMM _let_46))) (let ((_let_48 (CONG _let_47 _let_47 :args _let_43))) (let ((_let_49 (ASSUME :args (_let_25)))) (let ((_let_50 (ASSUME :args (_let_26)))) (let ((_let_51 (APPLY_UF tptp.multiply))) (let ((_let_52 (REFL :args (tptp.a)))) (let ((_let_53 (ASSUME :args (_let_24)))) (let ((_let_54 (ASSUME :args (_let_21)))) (let ((_let_55 (SYMM (SYMM _let_28)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_41)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_27 _let_42 _let_50 _let_44 _let_46 _let_49 _let_53 _let_54 _let_28) (SCOPE (TRANS _let_46 (CONG (TRANS _let_55 (CONG (REFL :args (tptp.identity)) _let_55 :args _let_43) (SYMM (SYMM _let_54))) _let_52 :args _let_51) (SYMM (SYMM _let_53)) (CONG (REFL :args (_let_23)) (TRANS _let_47 _let_44 (SYMM _let_48) _let_49) :args _let_43) (CONG (TRANS (CONG _let_45 _let_52 :args _let_51) (SYMM _let_50)) (TRANS (SYMM _let_49) _let_48 _let_45) :args _let_43) (SYMM _let_42) (SYMM _let_27)) :args (_let_14 _let_18 _let_26 _let_22 _let_17 _let_25 _let_24 _let_21 _let_15))) :args (_let_14 _let_15 _let_17 _let_18 _let_21 _let_22 _let_24 _let_25 _let_26))) :args (true _let_41)) :args ((or _let_1 (not _let_14) (not _let_15) (not _let_17) (not _let_18) (not _let_21) (not _let_22) (not _let_24) (not _let_25) (not _let_26)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply tptp.identity X)))) :args (_let_39))) _let_40 :args (_let_26 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_3 _let_3 tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.greatest_lower_bound (tptp.multiply Y X) (tptp.multiply Z X))))) :args _let_37))) _let_38 :args (_let_25 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_19 _let_3 tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.greatest_lower_bound Y Z) X)))) :args _let_37)) _let_38 :args (_let_24 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X X)))) :args (_let_35))) _let_36 :args (_let_22 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.identity tptp.identity _let_3 QUANTIFIERS_INST_E_MATCHING ((tptp.greatest_lower_bound X (tptp.greatest_lower_bound Y Z))))) :args _let_33)) _let_34 :args (_let_21 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X Y)))) :args _let_31)) _let_32 :args (_let_18 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X)))) :args (_let_29))) _let_30 :args (_let_17 false _let_29)) (ASSUME :args (_let_2)) _let_28 _let_27 :args (false false _let_26 false _let_25 false _let_24 false _let_22 false _let_21 false _let_18 false _let_17 true _let_1 false _let_15 false _let_14)) :args (_let_13 _let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) _let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))) _let_10 (forall ((X $$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))) (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)) _let_9 (forall ((X $$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_8 _let_7 _let_5 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.18/0.51 )
% 0.18/0.51 % SZS output end Proof for GRP174-1
% 0.18/0.51 % cvc5---1.0.5 exiting
% 0.18/0.51 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------