TSTP Solution File: GRP556-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP556-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 00:26:25 EDT 2023
% Result : Unsatisfiable 18.06s 18.29s
% Output : Proof 18.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GRP556-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.15 % Command : do_cvc5 %s %d
% 0.16/0.36 % Computer : n006.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Aug 29 02:15:21 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.gbAMGQsRaI/cvc5---1.0.5_30335.p...
% 0.22/0.52 ------- get file name : TPTP file name is GRP556-1
% 0.22/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30335.smt2...
% 0.22/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.38/10.56 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.42/15.60 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 18.06/18.29 % SZS status Unsatisfiable for GRP556-1
% 18.06/18.29 % SZS output start Proof for GRP556-1
% 18.06/18.30 (
% 18.06/18.30 (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 $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.divide A (tptp.inverse B)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.divide (tptp.divide A (tptp.inverse (tptp.divide B (tptp.divide A C)))) C) B)))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.divide (tptp.divide A (tptp.inverse (tptp.divide B (tptp.divide A C)))) C))))) (let ((_let_8 (tptp.divide tptp.a tptp.a))) (let ((_let_9 (tptp.divide tptp.b _let_8))) (let ((_let_10 (tptp.divide tptp.a (tptp.inverse _let_9)))) (let ((_let_11 (tptp.divide tptp.b (tptp.inverse (tptp.divide _let_10 _let_9))))) (let ((_let_12 (tptp.divide _let_11 _let_8))) (let ((_let_13 (= _let_11 (tptp.divide (tptp.divide tptp.a (tptp.inverse _let_12)) tptp.a)))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (= _let_10 _let_12))) (let ((_let_16 (tptp.divide tptp.a _let_8))) (let ((_let_17 (tptp.divide tptp.a (tptp.inverse _let_16)))) (let ((_let_18 (tptp.divide _let_17 tptp.a))) (let ((_let_19 (tptp.inverse (tptp.divide tptp.b _let_18)))) (let ((_let_20 (tptp.divide _let_10 tptp.a))) (let ((_let_21 (tptp.divide tptp.a (tptp.inverse (tptp.divide tptp.a (tptp.divide tptp.a _let_20)))))) (let ((_let_22 (= _let_21 (tptp.divide (tptp.divide tptp.a (tptp.inverse (tptp.divide _let_21 (tptp.divide tptp.a _let_19)))) _let_19)))) (let ((_let_23 (tptp.divide tptp.a (tptp.inverse (tptp.divide tptp.b _let_16))))) (let ((_let_24 (tptp.divide _let_23 _let_8))) (let ((_let_25 (= _let_23 (tptp.divide (tptp.divide tptp.a (tptp.inverse _let_24)) tptp.a)))) (let ((_let_26 (= tptp.b _let_24))) (let ((_let_27 (tptp.inverse tptp.b))) (let ((_let_28 (tptp.divide tptp.a _let_27))) (let ((_let_29 (tptp.divide tptp.a (tptp.inverse (tptp.divide tptp.a _let_28))))) (let ((_let_30 (tptp.divide _let_29 _let_27))) (let ((_let_31 (tptp.divide _let_17 _let_19))) (let ((_let_32 (= _let_31 (tptp.divide (tptp.divide _let_29 (tptp.inverse (tptp.divide _let_31 _let_30))) _let_27)))) (let ((_let_33 (= tptp.b (tptp.divide _let_31 tptp.a)))) (let ((_let_34 (= tptp.a (tptp.divide _let_21 _let_20)))) (let ((_let_35 (= _let_10 (tptp.divide (tptp.divide tptp.a (tptp.inverse (tptp.divide _let_10 _let_16))) _let_8)))) (let ((_let_36 (= _let_10 (tptp.divide (tptp.divide tptp.a (tptp.inverse (tptp.divide _let_10 _let_8))) tptp.a)))) (let ((_let_37 (= _let_10 (tptp.divide (tptp.divide _let_29 (tptp.inverse (tptp.divide _let_10 _let_30))) _let_27)))) (let ((_let_38 (= tptp.a _let_30))) (let ((_let_39 (tptp.divide tptp.a (tptp.inverse (tptp.divide tptp.a _let_16))))) (let ((_let_40 (tptp.divide _let_39 _let_8))) (let ((_let_41 (= _let_39 (tptp.divide (tptp.divide tptp.a (tptp.inverse _let_40)) tptp.a)))) (let ((_let_42 (tptp.inverse tptp.a))) (let ((_let_43 (tptp.divide tptp.a (tptp.inverse (tptp.divide tptp.a (tptp.divide tptp.a _let_42)))))) (let ((_let_44 (tptp.divide _let_43 _let_42))) (let ((_let_45 (tptp.divide tptp.b (tptp.inverse (tptp.divide tptp.a (tptp.divide tptp.b tptp.a)))))) (let ((_let_46 (= _let_45 (tptp.divide (tptp.divide _let_43 (tptp.inverse (tptp.divide _let_45 _let_44))) _let_42)))) (let ((_let_47 (= _let_17 (tptp.divide (tptp.divide _let_43 (tptp.inverse (tptp.divide _let_17 _let_44))) _let_42)))) (let ((_let_48 (= tptp.a _let_44))) (let ((_let_49 (= tptp.a (tptp.divide _let_45 tptp.a)))) (let ((_let_50 (= _let_1 (tptp.divide tptp.b _let_42)))) (let ((_let_51 (= tptp.b _let_20))) (let ((_let_52 (= _let_2 _let_28))) (let ((_let_53 (= tptp.a _let_40))) (let ((_let_54 (= tptp.a _let_18))) (let ((_let_55 (not _let_13))) (let ((_let_56 (_let_7))) (let ((_let_57 (_let_5))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (ASSUME :args (_let_4)))) (let ((_let_60 (and _let_4 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_41 _let_38 _let_37 _let_36 _let_35 _let_34 _let_33 _let_32 _let_26 _let_25 _let_22 _let_15))) (let ((_let_61 (ASSUME :args (_let_50)))) (let ((_let_62 (APPLY_UF tptp.divide))) (let ((_let_63 (APPLY_UF tptp.inverse))) (let ((_let_64 (ASSUME :args (_let_34)))) (let ((_let_65 (REFL :args (tptp.a)))) (let ((_let_66 (ASSUME :args (_let_37)))) (let ((_let_67 (SYMM _let_66))) (let ((_let_68 (REFL :args (_let_27)))) (let ((_let_69 (ASSUME :args (_let_38)))) (let ((_let_70 (SYMM _let_69))) (let ((_let_71 (ASSUME :args (_let_51)))) (let ((_let_72 (SYMM _let_71))) (let ((_let_73 (REFL :args (_let_10)))) (let ((_let_74 (CONG (TRANS (CONG _let_73 _let_70 :args _let_62) _let_72) :args _let_63))) (let ((_let_75 (REFL :args (_let_29)))) (let ((_let_76 (CONG _let_75 _let_74 :args _let_62))) (let ((_let_77 (CONG (TRANS _let_76 _let_70) _let_68 :args _let_62))) (let ((_let_78 (SYMM _let_77))) (let ((_let_79 (ASSUME :args (_let_26)))) (let ((_let_80 (SYMM _let_79))) (let ((_let_81 (CONG (TRANS (CONG _let_65 (CONG _let_80 :args _let_63) :args _let_62) _let_78 _let_67) _let_65 :args _let_62))) (let ((_let_82 (ASSUME :args (_let_25)))) (let ((_let_83 (SYMM _let_82))) (let ((_let_84 (ASSUME :args (_let_53)))) (let ((_let_85 (REFL :args (_let_8)))) (let ((_let_86 (ASSUME :args (_let_41)))) (let ((_let_87 (ASSUME :args (_let_48)))) (let ((_let_88 (SYMM _let_87))) (let ((_let_89 (REFL :args (_let_42)))) (let ((_let_90 (ASSUME :args (_let_54)))) (let ((_let_91 (SYMM _let_90))) (let ((_let_92 (CONG (TRANS (CONG (REFL :args (_let_17)) _let_88 :args _let_62) _let_91) :args _let_63))) (let ((_let_93 (REFL :args (_let_43)))) (let ((_let_94 (CONG _let_93 _let_92 :args _let_62))) (let ((_let_95 (CONG (TRANS _let_94 _let_88) _let_89 :args _let_62))) (let ((_let_96 (ASSUME :args (_let_47)))) (let ((_let_97 (SYMM _let_96))) (let ((_let_98 (SYMM _let_97))) (let ((_let_99 (ASSUME :args (_let_49)))) (let ((_let_100 (CONG (REFL :args (_let_45)) _let_88 :args _let_62))) (let ((_let_101 (ASSUME :args (_let_46)))) (let ((_let_102 (TRANS (CONG (TRANS _let_99 (SYMM _let_100) (CONG (TRANS (TRANS (SYMM (SYMM _let_101)) (CONG (TRANS (CONG _let_93 (TRANS (CONG (TRANS _let_100 (SYMM _let_99)) :args _let_63) (SYMM _let_92)) :args _let_62) _let_94 _let_88) _let_89 :args _let_62) (SYMM _let_95) _let_97) (TRANS _let_98 _let_95 (CONG _let_65 (CONG _let_84 :args _let_63) :args _let_62))) _let_88 :args _let_62) (SYMM _let_86)) _let_85 :args _let_62) (SYMM _let_84)))) (let ((_let_103 (REFL :args (tptp.b)))) (let ((_let_104 (TRANS (CONG _let_65 (CONG (TRANS (CONG _let_103 _let_91 :args _let_62) (CONG _let_103 (SYMM _let_102) :args _let_62)) :args _let_63) :args _let_62) (SYMM _let_83) _let_81))) (let ((_let_105 (CONG (REFL :args (_let_21)) _let_104 :args _let_62))) (let ((_let_106 (ASSUME :args (_let_22)))) (let ((_let_107 (ASSUME :args (_let_32)))) (let ((_let_108 (ASSUME :args (_let_33)))) (let ((_let_109 (SYMM _let_67))) (let ((_let_110 (ASSUME :args (_let_52)))) (let ((_let_111 (ASSUME :args (_let_36)))) (let ((_let_112 (ASSUME :args (_let_35)))) (let ((_let_113 (ASSUME :args (_let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.a _let_11 tptp.a QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_56)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_60)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_110 _let_69 _let_71 _let_66 _let_111 _let_84 _let_86 _let_87 _let_90 _let_96 _let_99 _let_101 _let_112 _let_113 _let_59 _let_61 _let_64 _let_79 _let_82 _let_106 _let_107 _let_108) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (CONG _let_65 (CONG (TRANS (SYMM _let_113) (SYMM (SYMM _let_112)) (CONG (TRANS (CONG _let_65 (CONG (TRANS (CONG _let_73 _let_102 :args _let_62) _let_72) :args _let_63) :args _let_62) _let_78 _let_67) _let_85 :args _let_62)) :args _let_63) :args _let_62) _let_65 :args _let_62) (SYMM _let_111) _let_109 _let_77 (SYMM _let_110)) (TRANS (CONG _let_103 (CONG (TRANS (CONG _let_73 (TRANS (CONG (TRANS _let_71 (SYMM _let_81) _let_83) _let_85 :args _let_62) _let_80 _let_71) :args _let_62) (CONG (TRANS _let_109 _let_77 (CONG (TRANS _let_69 (SYMM _let_76) (CONG _let_75 (TRANS _let_74 (CONG (TRANS (SYMM (SYMM _let_108)) (CONG (REFL :args (_let_31)) _let_69 :args _let_62)) :args _let_63)) :args _let_62)) _let_68 :args _let_62) (SYMM _let_107) (CONG (TRANS _let_98 _let_95 (CONG _let_65 (CONG (TRANS _let_64 (SYMM _let_105)) :args _let_63) :args _let_62)) (REFL :args (_let_19)) :args _let_62) (SYMM _let_106)) (SYMM _let_104) :args _let_62) _let_105 (SYMM _let_64)) :args _let_63) :args _let_62) (SYMM _let_61)) :args (=)) (FALSE_INTRO _let_59)) :args ((= _let_13 false)))) :args (_let_52 _let_38 _let_51 _let_37 _let_36 _let_53 _let_41 _let_48 _let_54 _let_47 _let_49 _let_46 _let_35 _let_15 _let_4 _let_50 _let_34 _let_26 _let_25 _let_22 _let_32 _let_33))) :args (_let_4 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_41 _let_38 _let_37 _let_36 _let_35 _let_34 _let_33 _let_32 _let_26 _let_25 _let_22 _let_15))) :args (true _let_60)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) (REFL :args ((not _let_54))) (REFL :args ((not _let_53))) (REFL :args ((not _let_52))) (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_41))) (REFL :args ((not _let_38))) (REFL :args ((not _let_37))) (REFL :args ((not _let_36))) (REFL :args ((not _let_35))) (REFL :args ((not _let_34))) (REFL :args ((not _let_33))) (REFL :args ((not _let_32))) (REFL :args ((not _let_26))) (REFL :args ((not _let_25))) (REFL :args ((not _let_22))) (REFL :args ((not _let_15))) (REFL :args (_let_55)) :args (or))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.a tptp.a tptp.a QUANTIFIERS_INST_ENUM)) :args _let_56)) _let_14 :args (_let_54 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.a tptp.a _let_8 QUANTIFIERS_INST_ENUM)) :args _let_56)) _let_14 :args (_let_53 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.a tptp.b QUANTIFIERS_INST_ENUM)) :args _let_57)) _let_58 :args (_let_52 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.a tptp.b tptp.a QUANTIFIERS_INST_ENUM)) :args _let_56)) _let_14 :args (_let_51 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.b tptp.a QUANTIFIERS_INST_ENUM)) :args _let_57)) _let_58 :args (_let_50 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.b tptp.a tptp.a QUANTIFIERS_INST_ENUM)) :args _let_56)) _let_14 :args (_let_49 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.a tptp.a _let_42 QUANTIFIERS_INST_ENUM)) :args _let_56)) _let_14 :args (_let_48 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (_let_43 _let_17 _let_42 QUANTIFIERS_INST_CBQI_PROP)) :args _let_56)) _let_14 :args (_let_47 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (_let_43 _let_45 _let_42 QUANTIFIERS_INST_CBQI_PROP)) :args _let_56)) _let_14 :args (_let_46 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.a _let_39 tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_56)) _let_14 :args (_let_41 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.a tptp.a _let_27 QUANTIFIERS_INST_ENUM)) :args _let_56)) _let_14 :args (_let_38 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (_let_29 _let_10 _let_27 QUANTIFIERS_INST_CBQI_PROP)) :args _let_56)) _let_14 :args (_let_37 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.a _let_10 tptp.a QUANTIFIERS_INST_ENUM)) :args _let_56)) _let_14 :args (_let_36 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.a _let_10 _let_8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_56)) _let_14 :args (_let_35 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.a tptp.a _let_20 QUANTIFIERS_INST_ENUM)) :args _let_56)) _let_14 :args (_let_34 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (_let_17 tptp.b tptp.a QUANTIFIERS_INST_ENUM)) :args _let_56)) _let_14 :args (_let_33 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (_let_29 _let_31 _let_27 QUANTIFIERS_INST_CBQI_PROP)) :args _let_56)) _let_14 :args (_let_32 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.a tptp.b _let_8 QUANTIFIERS_INST_ENUM)) :args _let_56)) _let_14 :args (_let_26 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.a _let_23 tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_56)) _let_14 :args (_let_25 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.a _let_21 _let_19 QUANTIFIERS_INST_CBQI_PROP)) :args _let_56)) _let_14 :args (_let_22 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.b _let_10 _let_8 QUANTIFIERS_INST_ENUM)) :args _let_56)) _let_14 :args (_let_15 false _let_7)) :args (_let_55 true _let_3 false _let_54 false _let_53 false _let_52 false _let_51 false _let_50 false _let_49 false _let_48 false _let_47 false _let_46 false _let_41 false _let_38 false _let_37 false _let_36 false _let_35 false _let_34 false _let_33 false _let_32 false _let_26 false _let_25 false _let_22 false _let_15)) _let_14 :args (false true _let_13 false _let_7)) :args (_let_6 _let_5 _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 18.06/18.30 )
% 18.06/18.30 % SZS output end Proof for GRP556-1
% 18.06/18.30 % cvc5---1.0.5 exiting
% 18.06/18.30 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------