TSTP Solution File: GRP022-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP022-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 00:24:01 EDT 2023
% Result : Unsatisfiable 0.22s 0.53s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP022-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n015.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 : Tue Aug 29 02:59:41 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.bIaleZ4Upq/cvc5---1.0.5_26193.p...
% 0.22/0.49 ------- get file name : TPTP file name is GRP022-2
% 0.22/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26193.smt2...
% 0.22/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.53 % SZS status Unsatisfiable for GRP022-2
% 0.22/0.53 % SZS output start Proof for GRP022-2
% 0.22/0.53 (
% 0.22/0.53 (let ((_let_1 (tptp.inverse tptp.a))) (let ((_let_2 (tptp.inverse _let_1))) (let ((_let_3 (not (= _let_2 tptp.a)))) (let ((_let_4 (forall ((X $$unsorted)) (= (tptp.multiply X (tptp.inverse X)) tptp.identity)))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.multiply X tptp.identity) X)))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_9 (= tptp.a _let_2))) (let ((_let_10 (= tptp.identity (tptp.multiply _let_1 tptp.a)))) (let ((_let_11 (= tptp.identity (tptp.multiply _let_2 _let_1)))) (let ((_let_12 (tptp.multiply tptp.a _let_1))) (let ((_let_13 (= tptp.identity _let_12))) (let ((_let_14 (tptp.multiply _let_1 _let_2))) (let ((_let_15 (= tptp.identity _let_14))) (let ((_let_16 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (let ((_let_17 (tptp.multiply tptp.identity _let_1))) (let ((_let_18 (tptp.multiply _let_17 _let_2))) (let ((_let_19 (= _let_18 (tptp.multiply tptp.identity _let_14)))) (let ((_let_20 (= _let_1 _let_17))) (let ((_let_21 (= (tptp.multiply (tptp.multiply _let_2 _let_17) _let_2) (tptp.multiply _let_2 _let_18)))) (let ((_let_22 (= _let_2 (tptp.multiply _let_2 tptp.identity)))) (let ((_let_23 (tptp.multiply tptp.identity tptp.a))) (let ((_let_24 (tptp.multiply _let_23 _let_1))) (let ((_let_25 (= _let_24 (tptp.multiply tptp.identity _let_12)))) (let ((_let_26 (= tptp.a _let_23))) (let ((_let_27 (= (tptp.multiply _let_24 _let_2) (tptp.multiply _let_23 _let_14)))) (let ((_let_28 (= tptp.a (tptp.multiply tptp.a tptp.identity)))) (let ((_let_29 (SYMM (ASSUME :args (_let_3))))) (let ((_let_30 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 ((tptp.inverse X)))) (let ((_let_34 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply X (tptp.inverse X)))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (_let_34))) (let ((_let_37 ((tptp.inverse X)))) (let ((_let_38 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (_let_38))) (let ((_let_41 (_let_6))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_44 ((tptp.multiply tptp.identity X)))) (let ((_let_45 (forall ((X $$unsorted)) (= X (tptp.multiply X tptp.identity))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (_let_45))) (let ((_let_48 ((tptp.multiply X tptp.identity)))) (let ((_let_49 (not _let_9))) (let ((_let_50 (and _let_49 _let_10 _let_11 _let_13 _let_15 _let_16 _let_19 _let_20 _let_21 _let_22 _let_25 _let_26 _let_27))) (let ((_let_51 (APPLY_UF tptp.multiply))) (let ((_let_52 (ASSUME :args (_let_10)))) (let ((_let_53 (ASSUME :args (_let_26)))) (let ((_let_54 (ASSUME :args (_let_22)))) (let ((_let_55 (ASSUME :args (_let_16)))) (let ((_let_56 (SYMM _let_55))) (let ((_let_57 (ASSUME :args (_let_15)))) (let ((_let_58 (REFL :args (tptp.identity)))) (let ((_let_59 (ASSUME :args (_let_19)))) (let ((_let_60 (REFL :args (_let_2)))) (let ((_let_61 (ASSUME :args (_let_21)))) (let ((_let_62 (ASSUME :args (_let_20)))) (let ((_let_63 (ASSUME :args (_let_11)))) (let ((_let_64 (ASSUME :args (_let_25)))) (let ((_let_65 (ASSUME :args (_let_13)))) (let ((_let_66 (ASSUME :args (_let_27)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_50)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_29 _let_53 _let_63 _let_55 _let_65 _let_64 _let_54 _let_57 _let_59 _let_61 _let_62 _let_66 _let_52) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.a)) (SYMM (TRANS (SYMM (TRANS (CONG (REFL :args (_let_23)) (TRANS (SYMM _let_52) _let_57) :args _let_51) (SYMM _let_66) (CONG (TRANS (SYMM (TRANS (SYMM _let_56) (CONG _let_58 (SYMM (SYMM _let_65)) :args _let_51) (SYMM _let_64))) (TRANS _let_63 (CONG _let_60 (SYMM (SYMM _let_62)) :args _let_51))) _let_60 :args _let_51) (SYMM (SYMM _let_61)) (CONG _let_60 (TRANS (SYMM (SYMM _let_59)) (CONG _let_58 (SYMM _let_57) :args _let_51) _let_56) :args _let_51) (SYMM _let_54))) (SYMM (CONG (SYMM (SYMM _let_53)) _let_52 :args _let_51)))) :args (=)) (FALSE_INTRO _let_29))) :args (_let_49 _let_26 _let_11 _let_16 _let_13 _let_25 _let_22 _let_15 _let_19 _let_21 _let_20 _let_27 _let_10))) :args (_let_49 _let_10 _let_11 _let_13 _let_15 _let_16 _let_19 _let_20 _let_21 _let_22 _let_25 _let_26 _let_27))) :args (true _let_50)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_9))) (REFL :args ((not _let_10))) (REFL :args ((not _let_11))) (REFL :args ((not _let_13))) (REFL :args ((not _let_15))) (REFL :args ((not _let_16))) (REFL :args ((not _let_19))) (REFL :args ((not _let_20))) (REFL :args ((not _let_21))) (REFL :args ((not _let_22))) (REFL :args ((not _let_25))) (REFL :args ((not _let_26))) (REFL :args ((not _let_27))) (REFL :args ((not _let_28))) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_47)) _let_46 :args (_let_28 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_23 _let_1 _let_2 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.multiply X Y) Z)))) :args _let_41)) _let_42 :args (_let_27 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_40)) _let_39 :args (_let_26 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.identity tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_25 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_48)) :args _let_47)) _let_46 :args (_let_22 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_2 _let_17 _let_2 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_21 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_40)) _let_39 :args (_let_20 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.identity _let_1 _let_2 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_19 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_40)) _let_39 :args (_let_16 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_36)) _let_35 :args (_let_15 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_36)) _let_35 :args (_let_13 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32)) _let_31 :args (_let_11 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32)) _let_31 :args (_let_10 false _let_30)) _let_29 :args (false false _let_28 false _let_27 false _let_26 false _let_25 false _let_22 false _let_21 false _let_20 false _let_19 false _let_16 false _let_15 false _let_13 false _let_11 false _let_10 true _let_9)) :args (_let_8 _let_7 _let_6 _let_5 _let_4 _let_3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.53 )
% 0.22/0.54 % SZS output end Proof for GRP022-2
% 0.22/0.54 % cvc5---1.0.5 exiting
% 0.22/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------