TSTP Solution File: GRP548-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP548-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 00:26:24 EDT 2023
% Result : Unsatisfiable 0.20s 0.57s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP548-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n001.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 02:15:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.IF4cjtIYXC/cvc5---1.0.5_11848.p...
% 0.20/0.48 ------- get file name : TPTP file name is GRP548-1
% 0.20/0.48 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11848.smt2...
% 0.20/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.57 % SZS status Unsatisfiable for GRP548-1
% 0.20/0.57 % SZS output start Proof for GRP548-1
% 0.20/0.58 (
% 0.20/0.58 (let ((_let_1 (tptp.multiply tptp.b tptp.a))) (let ((_let_2 (tptp.multiply tptp.a tptp.b))) (let ((_let_3 (= _let_2 _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (forall ((A $$unsorted)) (= tptp.identity (tptp.divide A A))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.divide A (tptp.divide tptp.identity B)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.divide (tptp.divide tptp.identity (tptp.divide A B)) (tptp.divide (tptp.divide B C) A)) C)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.divide (tptp.divide tptp.identity (tptp.divide A B)) (tptp.divide (tptp.divide B C) A)))))) (let ((_let_9 (tptp.divide tptp.identity tptp.a))) (let ((_let_10 (tptp.divide tptp.identity tptp.identity))) (let ((_let_11 (tptp.divide (tptp.divide _let_10 tptp.identity) tptp.b))) (let ((_let_12 (tptp.divide _let_11 tptp.identity))) (let ((_let_13 (tptp.divide tptp.identity _let_12))) (let ((_let_14 (tptp.divide _let_13 _let_9))) (let ((_let_15 (tptp.divide _let_9 tptp.identity))) (let ((_let_16 (tptp.divide tptp.identity _let_15))) (let ((_let_17 (tptp.divide _let_16 _let_14))) (let ((_let_18 (= _let_14 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity _let_16)) (tptp.divide _let_17 tptp.identity))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (= _let_12 _let_17))) (let ((_let_21 (tptp.divide _let_10 tptp.a))) (let ((_let_22 (tptp.divide tptp.a tptp.identity))) (let ((_let_23 (tptp.divide tptp.identity _let_22))) (let ((_let_24 (tptp.divide _let_23 _let_21))) (let ((_let_25 (tptp.divide _let_21 tptp.identity))) (let ((_let_26 (tptp.divide (tptp.divide tptp.identity _let_25) _let_24))) (let ((_let_27 (tptp.divide _let_24 tptp.identity))) (let ((_let_28 (= _let_25 (tptp.divide (tptp.divide tptp.identity _let_27) _let_26)))) (let ((_let_29 (tptp.divide tptp.identity _let_10))) (let ((_let_30 (= tptp.a (tptp.divide _let_29 _let_15)))) (let ((_let_31 (tptp.divide tptp.b _let_10))) (let ((_let_32 (tptp.divide tptp.identity _let_31))) (let ((_let_33 (tptp.divide _let_32 _let_11))) (let ((_let_34 (tptp.divide _let_13 _let_33))) (let ((_let_35 (tptp.divide _let_33 tptp.identity))) (let ((_let_36 (= _let_12 (tptp.divide (tptp.divide tptp.identity _let_35) _let_34)))) (let ((_let_37 (tptp.divide tptp.identity tptp.b))) (let ((_let_38 (= tptp.b (tptp.divide _let_29 (tptp.divide _let_37 tptp.identity))))) (let ((_let_39 (tptp.divide tptp.identity _let_23))) (let ((_let_40 (tptp.divide tptp.identity _let_39))) (let ((_let_41 (tptp.divide _let_40 _let_27))) (let ((_let_42 (= _let_39 (tptp.divide (tptp.divide tptp.identity (tptp.divide _let_27 tptp.identity)) _let_41)))) (let ((_let_43 (= _let_11 (tptp.divide (tptp.divide tptp.identity (tptp.divide tptp.identity _let_32)) _let_35)))) (let ((_let_44 (= _let_22 _let_26))) (let ((_let_45 (= _let_31 _let_34))) (let ((_let_46 (= _let_21 _let_41))) (let ((_let_47 (= tptp.identity _let_24))) (let ((_let_48 (= tptp.identity _let_33))) (let ((_let_49 (= tptp.identity _let_10))) (let ((_let_50 (= _let_1 (tptp.divide tptp.b _let_9)))) (let ((_let_51 (= _let_2 (tptp.divide tptp.a _let_37)))) (let ((_let_52 (not _let_18))) (let ((_let_53 (_let_8))) (let ((_let_54 ((tptp.divide (tptp.divide B C) A)))) (let ((_let_55 (_let_5))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (_let_6))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 ((tptp.multiply A B)))) (let ((_let_60 (ASSUME :args (_let_4)))) (let ((_let_61 (and _let_4 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_38 _let_36 _let_30 _let_28 _let_20))) (let ((_let_62 (ASSUME :args (_let_50)))) (let ((_let_63 (APPLY_UF tptp.divide))) (let ((_let_64 (ASSUME :args (_let_38)))) (let ((_let_65 (SYMM _let_64))) (let ((_let_66 (REFL :args (tptp.identity)))) (let ((_let_67 (REFL :args (tptp.b)))) (let ((_let_68 (ASSUME :args (_let_49)))) (let ((_let_69 (SYMM _let_68))) (let ((_let_70 (CONG (TRANS (CONG _let_69 _let_66 :args _let_63) _let_69) _let_67 :args _let_63))) (let ((_let_71 (ASSUME :args (_let_47)))) (let ((_let_72 (SYMM _let_71))) (let ((_let_73 (CONG _let_72 _let_67 :args _let_63))) (let ((_let_74 (TRANS _let_73 (SYMM _let_70)))) (let ((_let_75 (CONG _let_74 _let_66 :args _let_63))) (let ((_let_76 (TRANS (CONG _let_66 _let_69 :args _let_63) _let_69))) (let ((_let_77 (CONG _let_76 (TRANS (CONG (SYMM _let_73) _let_66 :args _let_63) _let_75) :args _let_63))) (let ((_let_78 (ASSUME :args (_let_51)))) (let ((_let_79 (ASSUME :args (_let_43)))) (let ((_let_80 (SYMM _let_79))) (let ((_let_81 (ASSUME :args (_let_48)))) (let ((_let_82 (SYMM _let_81))) (let ((_let_83 (SYMM _let_82))) (let ((_let_84 (TRANS _let_68 (CONG _let_83 _let_66 :args _let_63)))) (let ((_let_85 (ASSUME :args (_let_45)))) (let ((_let_86 (ASSUME :args (_let_36)))) (let ((_let_87 (CONG (TRANS _let_74 (TRANS _let_70 (CONG _let_83 _let_67 :args _let_63) (CONG _let_82 (TRANS (SYMM _let_65) _let_77 (CONG _let_71 (REFL :args (_let_12)) :args _let_63) (CONG _let_72 (TRANS (SYMM (SYMM _let_86)) (CONG (TRANS (CONG _let_66 (SYMM _let_84) :args _let_63) _let_69) (SYMM _let_85) :args _let_63)) :args _let_63)) :args _let_63))) _let_84 :args _let_63))) (let ((_let_88 (ASSUME :args (_let_20)))) (let ((_let_89 (ASSUME :args (_let_30)))) (let ((_let_90 (SYMM _let_89))) (let ((_let_91 (REFL :args (tptp.a)))) (let ((_let_92 (CONG _let_72 _let_91 :args _let_63))) (let ((_let_93 (CONG _let_92 _let_66 :args _let_63))) (let ((_let_94 (CONG _let_69 _let_91 :args _let_63))) (let ((_let_95 (SYMM _let_94))) (let ((_let_96 (TRANS _let_92 _let_95))) (let ((_let_97 (CONG (SYMM _let_76) (TRANS (CONG (SYMM _let_96) _let_66 :args _let_63) _let_93) :args _let_63))) (let ((_let_98 (CONG _let_72 (REFL :args (_let_25)) :args _let_63))) (let ((_let_99 (ASSUME :args (_let_28)))) (let ((_let_100 (ASSUME :args (_let_44)))) (let ((_let_101 (CONG _let_71 _let_66 :args _let_63))) (let ((_let_102 (TRANS _let_68 _let_101))) (let ((_let_103 (CONG _let_71 (TRANS (CONG _let_71 (REFL :args (_let_22)) :args _let_63) (CONG (TRANS _let_72 (TRANS _let_68 (CONG _let_66 _let_102 :args _let_63))) (SYMM (SYMM _let_100)) :args _let_63) (SYMM _let_99)) :args _let_63))) (let ((_let_104 (ASSUME :args (_let_42)))) (let ((_let_105 (SYMM _let_104))) (let ((_let_106 (ASSUME :args (_let_46)))) (let ((_let_107 (CONG _let_82 _let_91 :args _let_63))) (let ((_let_108 (TRANS _let_68 (CONG _let_66 (TRANS _let_68 (CONG _let_102 _let_66 :args _let_63)) :args _let_63)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.identity _let_16 _let_14 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_61)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_78 _let_89 _let_68 _let_71 _let_99 _let_100 _let_104 _let_106 _let_81 _let_79 _let_85 _let_86 _let_64 _let_88 _let_60 _let_62) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (TRANS (TRANS (CONG _let_108 (TRANS (CONG _let_83 (TRANS (CONG _let_108 (TRANS (SYMM _let_93) (CONG (TRANS _let_96 (TRANS _let_94 (SYMM _let_107) (CONG (TRANS _let_82 _let_71) (TRANS _let_89 (SYMM _let_97) (SYMM _let_98) (SYMM _let_103)) :args _let_63) (CONG _let_72 (REFL :args (_let_39)) :args _let_63))) _let_68 :args _let_63) (CONG (REFL :args (_let_40)) _let_101 :args _let_63)) :args _let_63) _let_105 _let_103 _let_98 _let_97 _let_90) :args _let_63) _let_107 _let_95 (SYMM (SYMM _let_106))) :args _let_63) _let_105 _let_103 _let_98) (TRANS _let_97 _let_90)) (TRANS (CONG (TRANS (TRANS (SYMM _let_88) (SYMM _let_75) _let_87 _let_80) (SYMM _let_74)) _let_66 :args _let_63) _let_87 _let_80 _let_70) :args _let_63) (SYMM _let_78)) (TRANS (CONG (TRANS (SYMM _let_77) _let_65) (REFL :args (_let_9)) :args _let_63) (SYMM _let_62)) :args (=)) (FALSE_INTRO _let_60)) :args ((= _let_18 false)))) :args (_let_51 _let_30 _let_49 _let_47 _let_28 _let_44 _let_42 _let_46 _let_48 _let_43 _let_45 _let_36 _let_38 _let_20 _let_4 _let_50))) :args (_let_4 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_38 _let_36 _let_30 _let_28 _let_20))) :args (true _let_61)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) (REFL :args ((not _let_51))) (REFL :args ((not _let_50))) (REFL :args ((not _let_49))) (REFL :args ((not _let_48))) (REFL :args ((not _let_47))) (REFL :args ((not _let_46))) (REFL :args ((not _let_45))) (REFL :args ((not _let_44))) (REFL :args ((not _let_43))) (REFL :args ((not _let_42))) (REFL :args ((not _let_38))) (REFL :args ((not _let_36))) (REFL :args ((not _let_30))) (REFL :args ((not _let_28))) (REFL :args ((not _let_20))) (REFL :args (_let_52)) :args (or))) _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_57)) _let_58 :args (_let_51 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_57)) _let_58 :args (_let_50 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_55)) _let_56 :args (_let_49 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.b _let_10 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) _let_19 :args (_let_48 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.a tptp.identity tptp.identity QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) _let_19 :args (_let_47 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.identity _let_23 _let_21 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) _let_19 :args (_let_46 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_11 tptp.identity _let_31 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) _let_19 :args (_let_45 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_21 tptp.identity _let_22 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) _let_19 :args (_let_44 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.identity _let_32 _let_11 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) _let_19 :args (_let_43 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_27 tptp.identity _let_39 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) _let_19 :args (_let_42 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.identity tptp.identity tptp.b QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) _let_19 :args (_let_38 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_33 tptp.identity _let_12 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) _let_19 :args (_let_36 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.identity tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) _let_19 :args (_let_30 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_24 tptp.identity _let_25 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) _let_19 :args (_let_28 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_9 tptp.identity _let_12 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_53)) _let_19 :args (_let_20 false _let_8)) :args (_let_52 true _let_3 false _let_51 false _let_50 false _let_49 false _let_48 false _let_47 false _let_46 false _let_45 false _let_44 false _let_43 false _let_42 false _let_38 false _let_36 false _let_30 false _let_28 false _let_20)) _let_19 :args (false true _let_18 false _let_8)) :args (_let_7 _let_6 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.divide tptp.identity A))) _let_5 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.58 )
% 0.20/0.58 % SZS output end Proof for GRP548-1
% 0.20/0.58 % cvc5---1.0.5 exiting
% 0.20/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------