TSTP Solution File: GRP573-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP573-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 00:26:28 EDT 2023
% Result : Unsatisfiable 0.19s 0.53s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP573-1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n013.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 : Mon Aug 28 23:24:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.owm0xb7ezF/cvc5---1.0.5_4616.p...
% 0.19/0.48 ------- get file name : TPTP file name is GRP573-1
% 0.19/0.48 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4616.smt2...
% 0.19/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.53 % SZS status Unsatisfiable for GRP573-1
% 0.19/0.53 % SZS output start Proof for GRP573-1
% 0.19/0.54 (
% 0.19/0.54 (let ((_let_1 (tptp.inverse tptp.a1))) (let ((_let_2 (tptp.multiply _let_1 tptp.a1))) (let ((_let_3 (not (= _let_2 tptp.identity)))) (let ((_let_4 (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide B (tptp.double_divide C A)) (tptp.double_divide C tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) B)))) (let ((_let_8 (= tptp.identity _let_2))) (let ((_let_9 (tptp.double_divide tptp.a1 _let_1))) (let ((_let_10 (tptp.double_divide _let_9 tptp.identity))) (let ((_let_11 (= _let_2 _let_10))) (let ((_let_12 (tptp.double_divide tptp.a1 tptp.identity))) (let ((_let_13 (= _let_1 _let_12))) (let ((_let_14 (= tptp.identity _let_9))) (let ((_let_15 (tptp.double_divide tptp.identity tptp.identity))) (let ((_let_16 (tptp.double_divide tptp.a1 _let_12))) (let ((_let_17 (tptp.double_divide tptp.identity (tptp.double_divide _let_16 _let_12)))) (let ((_let_18 (= tptp.a1 (tptp.double_divide _let_17 _let_15)))) (let ((_let_19 (tptp.double_divide _let_1 (tptp.double_divide (tptp.double_divide _let_9 _let_9) _let_12)))) (let ((_let_20 (tptp.double_divide _let_19 _let_15))) (let ((_let_21 (= _let_9 _let_20))) (let ((_let_22 (tptp.inverse _let_9))) (let ((_let_23 (= _let_10 _let_22))) (let ((_let_24 (tptp.double_divide _let_19 tptp.identity))) (let ((_let_25 (tptp.double_divide _let_15 (tptp.double_divide (tptp.double_divide _let_9 _let_20) _let_24)))) (let ((_let_26 (= _let_9 (tptp.double_divide _let_25 _let_15)))) (let ((_let_27 (= tptp.a1 (tptp.double_divide (tptp.double_divide _let_15 (tptp.double_divide (tptp.double_divide tptp.a1 _let_20) _let_24)) _let_15)))) (let ((_let_28 (tptp.double_divide _let_12 (tptp.double_divide _let_17 (tptp.double_divide _let_16 tptp.identity))))) (let ((_let_29 (= tptp.identity (tptp.double_divide _let_28 _let_15)))) (let ((_let_30 (tptp.double_divide _let_19 _let_10))) (let ((_let_31 (tptp.double_divide _let_30 _let_10))) (let ((_let_32 (= _let_19 (tptp.double_divide (tptp.double_divide tptp.identity _let_31) _let_15)))) (let ((_let_33 (tptp.double_divide _let_15 (tptp.double_divide (tptp.double_divide _let_10 _let_20) _let_24)))) (let ((_let_34 (tptp.double_divide _let_33 _let_15))) (let ((_let_35 (= _let_10 _let_34))) (let ((_let_36 (= tptp.identity (tptp.double_divide _let_9 _let_22)))) (let ((_let_37 (tptp.double_divide _let_30 tptp.identity))) (let ((_let_38 (= _let_9 (tptp.double_divide (tptp.double_divide _let_10 (tptp.double_divide (tptp.double_divide _let_9 _let_31) _let_37)) _let_15)))) (let ((_let_39 (tptp.double_divide _let_33 tptp.identity))) (let ((_let_40 (= _let_19 (tptp.double_divide (tptp.double_divide _let_15 (tptp.double_divide (tptp.double_divide _let_19 _let_34) _let_39)) _let_15)))) (let ((_let_41 (= _let_10 (tptp.double_divide (tptp.double_divide _let_10 (tptp.double_divide (tptp.double_divide _let_10 _let_31) _let_37)) _let_15)))) (let ((_let_42 (= _let_25 (tptp.double_divide (tptp.double_divide _let_15 (tptp.double_divide (tptp.double_divide _let_25 _let_34) _let_39)) _let_15)))) (let ((_let_43 (= _let_28 (tptp.double_divide (tptp.double_divide _let_15 (tptp.double_divide (tptp.double_divide _let_28 _let_34) _let_39)) _let_15)))) (let ((_let_44 (= _let_30 (tptp.double_divide (tptp.double_divide _let_15 (tptp.double_divide (tptp.double_divide _let_30 _let_34) _let_39)) _let_15)))) (let ((_let_45 (_let_6))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (_let_5))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (_let_4))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 ((tptp.inverse A)))) (let ((_let_52 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide B (tptp.double_divide C A)) (tptp.double_divide C tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (_let_52))) (let ((_let_55 ((tptp.double_divide B (tptp.double_divide C A))))) (let ((_let_56 (and _let_11 _let_13 _let_14 _let_18 _let_21 _let_23 _let_26 _let_27 _let_29 _let_32 _let_35 _let_36 _let_38 _let_40 _let_41 _let_42 _let_43 _let_44))) (let ((_let_57 (ASSUME :args (_let_11)))) (let ((_let_58 (ASSUME :args (_let_41)))) (let ((_let_59 (APPLY_UF tptp.double_divide))) (let ((_let_60 (REFL :args (tptp.identity)))) (let ((_let_61 (ASSUME :args (_let_14)))) (let ((_let_62 (SYMM _let_61))) (let ((_let_63 (CONG _let_62 _let_60 :args _let_59))) (let ((_let_64 (SYMM _let_63))) (let ((_let_65 (REFL :args (_let_19)))) (let ((_let_66 (CONG _let_65 _let_64 :args _let_59))) (let ((_let_67 (ASSUME :args (_let_21)))) (let ((_let_68 (SYMM _let_67))) (let ((_let_69 (SYMM _let_68))) (let ((_let_70 (TRANS _let_69 _let_66))) (let ((_let_71 (CONG (TRANS _let_61 _let_70) _let_60 :args _let_59))) (let ((_let_72 (SYMM _let_66))) (let ((_let_73 (ASSUME :args (_let_44)))) (let ((_let_74 (SYMM _let_73))) (let ((_let_75 (REFL :args (_let_15)))) (let ((_let_76 (REFL :args (_let_39)))) (let ((_let_77 (ASSUME :args (_let_35)))) (let ((_let_78 (SYMM _let_77))) (let ((_let_79 (ASSUME :args (_let_23)))) (let ((_let_80 (CONG _let_70 (SYMM _let_79) :args _let_59))) (let ((_let_81 (ASSUME :args (_let_36)))) (let ((_let_82 (SYMM (SYMM _let_81)))) (let ((_let_83 (TRANS _let_78 _let_63))) (let ((_let_84 (TRANS (CONG _let_65 _let_83 :args _let_59) _let_68))) (let ((_let_85 (SYMM _let_84))) (let ((_let_86 (ASSUME :args (_let_26)))) (let ((_let_87 (CONG _let_75 (CONG (TRANS (TRANS (CONG (REFL :args (_let_25)) _let_83 :args _let_59) (SYMM _let_86)) _let_85) _let_76 :args _let_59) :args _let_59))) (let ((_let_88 (CONG (TRANS _let_87 (CONG _let_75 (CONG (TRANS _let_84 (TRANS _let_62 _let_82 _let_80 (CONG (REFL :args (_let_30)) (SYMM _let_78) :args _let_59))) _let_76 :args _let_59) :args _let_59)) _let_75 :args _let_59))) (let ((_let_89 (SYMM _let_87))) (let ((_let_90 (ASSUME :args (_let_29)))) (let ((_let_91 (CONG (TRANS (CONG _let_75 (CONG (TRANS (TRANS (CONG (REFL :args (_let_28)) _let_83 :args _let_59) (SYMM _let_90) _let_61) _let_85) _let_76 :args _let_59) :args _let_59) _let_89) _let_75 :args _let_59))) (let ((_let_92 (ASSUME :args (_let_43)))) (let ((_let_93 (SYMM _let_92))) (let ((_let_94 (ASSUME :args (_let_13)))) (let ((_let_95 (ASSUME :args (_let_18)))) (let ((_let_96 (ASSUME :args (_let_27)))) (let ((_let_97 (CONG (REFL :args (_let_12)) (TRANS (SYMM _let_96) (SYMM (SYMM _let_95)) (CONG (REFL :args (_let_17)) (CONG (TRANS _let_61 (CONG (REFL :args (tptp.a1)) (SYMM (SYMM _let_94)) :args _let_59)) _let_60 :args _let_59) :args _let_59)) :args _let_59))) (let ((_let_98 (CONG _let_89 _let_75 :args _let_59))) (let ((_let_99 (ASSUME :args (_let_40)))) (let ((_let_100 (SYMM (SYMM _let_99)))) (let ((_let_101 (CONG (TRANS (TRANS _let_100 _let_98 (SYMM _let_91) _let_93 (SYMM _let_97)) _let_97 (TRANS (SYMM _let_93) _let_91 _let_88 _let_74 _let_72 _let_68) _let_62) _let_60 :args _let_59))) (let ((_let_102 (TRANS _let_82 _let_80))) (let ((_let_103 (REFL :args (_let_10)))) (let ((_let_104 (TRANS _let_68 _let_62))) (let ((_let_105 (CONG _let_103 _let_104 :args _let_59))) (let ((_let_106 (TRANS _let_105 (CONG _let_103 _let_102 :args _let_59)))) (let ((_let_107 (CONG _let_106 (TRANS _let_101 _let_71) :args _let_59))) (let ((_let_108 (ASSUME :args (_let_32)))) (let ((_let_109 (SYMM _let_108))) (let ((_let_110 (CONG _let_62 _let_62 :args _let_59))) (let ((_let_111 (TRANS _let_110 (CONG _let_60 _let_102 :args _let_59)))) (let ((_let_112 (SYMM _let_110))) (let ((_let_113 (ASSUME :args (_let_38)))) (let ((_let_114 (ASSUME :args (_let_42)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_56)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_57 _let_58 _let_61 _let_67 _let_79 _let_81 _let_73 _let_77 _let_86 _let_90 _let_92 _let_94 _let_95 _let_96 _let_99 _let_108 _let_113 _let_114) (SCOPE (TRANS _let_82 _let_80 (CONG (TRANS (SYMM _let_70) (TRANS _let_69 _let_66 _let_73 (SYMM _let_88) (SYMM _let_114) (CONG _let_64 (TRANS (CONG (TRANS (TRANS (CONG _let_62 _let_104 :args _let_59) _let_112) _let_111) _let_101 :args _let_59) _let_109 _let_100 _let_98 _let_88 _let_74 _let_72 _let_68 _let_62) :args _let_59) (CONG _let_63 (TRANS _let_61 (SYMM (SYMM _let_113)) (CONG (TRANS (TRANS (CONG _let_103 (TRANS (CONG (TRANS (TRANS (CONG _let_62 (SYMM _let_102) :args _let_59) _let_112) _let_111) (SYMM _let_71) :args _let_59) _let_109 _let_100 _let_98 _let_88 _let_74 _let_72 _let_68 _let_62) :args _let_59) (SYMM _let_105)) _let_106) _let_71 :args _let_59) (SYMM _let_107)) :args _let_59) (CONG _let_64 _let_107 :args _let_59))) _let_63 :args _let_59) (SYMM _let_58) (SYMM _let_57)) :args (_let_11 _let_41 _let_14 _let_21 _let_23 _let_36 _let_44 _let_35 _let_26 _let_29 _let_43 _let_13 _let_18 _let_27 _let_40 _let_32 _let_38 _let_42))) :args (_let_11 _let_13 _let_14 _let_18 _let_21 _let_23 _let_26 _let_27 _let_29 _let_32 _let_35 _let_36 _let_38 _let_40 _let_41 _let_42 _let_43 _let_44))) :args (true _let_56)) :args ((or _let_8 (not _let_11) (not _let_13) (not _let_14) (not _let_18) (not _let_21) (not _let_23) (not _let_26) (not _let_27) (not _let_29) (not _let_32) (not _let_35) (not _let_36) (not _let_38) (not _let_40) (not _let_41) (not _let_42) (not _let_43) (not _let_44)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_15 _let_30 _let_33 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_54)) _let_53 :args (_let_44 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_15 _let_28 _let_33 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_54)) _let_53 :args (_let_43 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_15 _let_25 _let_33 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_54)) _let_53 :args (_let_42 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_10 _let_10 _let_30 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_54)) _let_53 :args (_let_41 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_15 _let_19 _let_33 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_54)) _let_53 :args (_let_40 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_10 _let_9 _let_30 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_54)) _let_53 :args (_let_38 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_49)) _let_50 :args (_let_36 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_15 _let_10 _let_19 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_54)) _let_53 :args (_let_35 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.identity _let_19 _let_9 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_54)) _let_53 :args (_let_32 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_12 tptp.identity _let_16 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_54)) _let_53 :args (_let_29 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_15 tptp.a1 _let_19 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_54)) _let_53 :args (_let_27 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_15 _let_9 _let_19 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_54)) _let_53 :args (_let_26 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.double_divide A tptp.identity)))) :args _let_47))) _let_48 :args (_let_23 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_1 _let_9 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_54)) _let_53 :args (_let_21 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.identity tptp.a1 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_54)) _let_53 :args (_let_18 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_49)) _let_50 :args (_let_14 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse A)))) :args _let_47)) _let_48 :args (_let_13 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_1 tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply A B)))) :args _let_45)) _let_46 :args (_let_11 false _let_6)) (SYMM (ASSUME :args (_let_3))) :args (false false _let_44 false _let_43 false _let_42 false _let_41 false _let_40 false _let_38 false _let_36 false _let_35 false _let_32 false _let_29 false _let_27 false _let_26 false _let_23 false _let_21 false _let_18 false _let_14 false _let_13 false _let_11 true _let_8)) :args (_let_7 _let_6 _let_5 _let_4 _let_3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.54 )
% 0.19/0.54 % SZS output end Proof for GRP573-1
% 0.19/0.54 % cvc5---1.0.5 exiting
% 0.19/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------