TSTP Solution File: GRP540-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP540-1 : 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 00:26:22 EDT 2023
% Result : Unsatisfiable 0.68s 0.90s
% Output : Proof 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP540-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n006.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 02:16:36 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.CUfInKZFxH/cvc5---1.0.5_2664.p...
% 0.21/0.51 ------- get file name : TPTP file name is GRP540-1
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2664.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.68/0.90 % SZS status Unsatisfiable for GRP540-1
% 0.68/0.90 % SZS output start Proof for GRP540-1
% 0.68/0.90 (
% 0.68/0.90 (let ((_let_1 (tptp.multiply tptp.a tptp.b))) (let ((_let_2 (= _let_1 (tptp.multiply tptp.b tptp.a)))) (let ((_let_3 (not _let_2))) (let ((_let_4 (forall ((A $$unsorted)) (= tptp.identity (tptp.divide A A))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply A B) (tptp.divide A (tptp.divide (tptp.divide C C) B)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.divide (tptp.divide A B) (tptp.divide (tptp.divide A C) B)) C)))) (let ((_let_7 (tptp.divide tptp.a tptp.a))) (let ((_let_8 (tptp.divide _let_7 tptp.a))) (let ((_let_9 (tptp.divide _let_7 _let_8))) (let ((_let_10 (= tptp.a _let_9))) (let ((_let_11 (= tptp.identity _let_7))) (let ((_let_12 (tptp.divide _let_9 tptp.a))) (let ((_let_13 (tptp.divide _let_8 _let_12))) (let ((_let_14 (= _let_8 _let_13))) (let ((_let_15 (tptp.divide tptp.a _let_8))) (let ((_let_16 (tptp.divide _let_15 _let_9))) (let ((_let_17 (= tptp.a _let_16))) (let ((_let_18 (tptp.divide _let_9 _let_8))) (let ((_let_19 (= _let_8 (tptp.divide _let_9 _let_18)))) (let ((_let_20 (tptp.divide _let_16 _let_8))) (let ((_let_21 (tptp.divide _let_15 _let_8))) (let ((_let_22 (tptp.divide _let_21 _let_20))) (let ((_let_23 (= _let_9 _let_22))) (let ((_let_24 (tptp.divide _let_13 _let_12))) (let ((_let_25 (= _let_12 (tptp.divide _let_13 _let_24)))) (let ((_let_26 (tptp.divide _let_15 _let_21))) (let ((_let_27 (= _let_8 _let_26))) (let ((_let_28 (= _let_8 (tptp.divide (tptp.divide _let_15 _let_20) _let_22)))) (let ((_let_29 (tptp.divide (tptp.divide _let_15 _let_15) tptp.b))) (let ((_let_30 (= _let_1 (tptp.divide tptp.a _let_29)))) (let ((_let_31 (= tptp.identity (tptp.divide _let_18 _let_18)))) (let ((_let_32 (= _let_21 (tptp.divide (tptp.divide _let_15 _let_24) (tptp.divide _let_26 _let_24))))) (let ((_let_33 (tptp.divide _let_22 _let_29))) (let ((_let_34 (tptp.divide _let_21 _let_29))) (let ((_let_35 (tptp.divide _let_34 _let_33))) (let ((_let_36 (= _let_20 _let_35))) (let ((_let_37 (tptp.divide _let_34 _let_21))) (let ((_let_38 (= _let_33 (tptp.divide _let_37 (tptp.divide _let_35 _let_21))))) (let ((_let_39 (tptp.divide _let_16 tptp.a))) (let ((_let_40 (tptp.divide _let_21 _let_39))) (let ((_let_41 (= _let_39 (tptp.divide _let_40 (tptp.divide _let_40 _let_39))))) (let ((_let_42 (= _let_39 (tptp.divide _let_34 (tptp.divide _let_40 _let_29))))) (let ((_let_43 (= _let_29 (tptp.divide (tptp.divide _let_21 _let_21) _let_37)))) (let ((_let_44 (tptp.divide _let_22 tptp.a))) (let ((_let_45 (tptp.divide _let_35 _let_44))) (let ((_let_46 (tptp.divide (tptp.divide _let_34 _let_44) _let_45))) (let ((_let_47 (tptp.divide _let_34 _let_45))) (let ((_let_48 (tptp.divide _let_47 _let_46))) (let ((_let_49 (= _let_44 _let_48))) (let ((_let_50 (= (tptp.multiply _let_37 tptp.a) (tptp.divide _let_37 (tptp.divide (tptp.divide _let_34 _let_34) tptp.a))))) (let ((_let_51 (tptp.divide _let_48 tptp.b))) (let ((_let_52 (tptp.divide (tptp.divide _let_47 tptp.b) _let_51))) (let ((_let_53 (= _let_46 _let_52))) (let ((_let_54 (tptp.divide _let_48 _let_37))) (let ((_let_55 (tptp.divide (tptp.divide _let_47 _let_37) _let_54))) (let ((_let_56 (= _let_46 _let_55))) (let ((_let_57 (= tptp.b (tptp.divide (tptp.divide _let_47 _let_51) _let_52)))) (let ((_let_58 (= _let_37 (tptp.divide (tptp.divide _let_47 _let_54) _let_55)))) (let ((_let_59 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.divide (tptp.divide A B) (tptp.divide (tptp.divide A C) B)))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (_let_59))) (let ((_let_62 (_let_4))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 ((tptp.divide (tptp.divide A C) B)))) (let ((_let_65 (_let_5))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (tptp.divide C C))) (let ((_let_68 (and _let_10 _let_11 _let_14 _let_17 _let_19 _let_23 _let_25 _let_27 _let_28 _let_30 _let_31 _let_32 _let_36 _let_38 _let_41 _let_42 _let_43 _let_49 _let_50 _let_53 _let_56 _let_57 _let_58))) (let ((_let_69 (REFL :args (tptp.a)))) (let ((_let_70 (ASSUME :args (_let_57)))) (let ((_let_71 (APPLY_UF tptp.divide))) (let ((_let_72 (ASSUME :args (_let_53)))) (let ((_let_73 (ASSUME :args (_let_56)))) (let ((_let_74 (ASSUME :args (_let_49)))) (let ((_let_75 (ASSUME :args (_let_23)))) (let ((_let_76 (ASSUME :args (_let_10)))) (let ((_let_77 (SYMM _let_76))) (let ((_let_78 (SYMM _let_77))) (let ((_let_79 (TRANS _let_78 (SYMM (SYMM _let_75))))) (let ((_let_80 (TRANS (CONG _let_79 _let_69 :args _let_71) (SYMM (SYMM _let_74))))) (let ((_let_81 (ASSUME :args (_let_11)))) (let ((_let_82 (ASSUME :args (_let_31)))) (let ((_let_83 (REFL :args (_let_18)))) (let ((_let_84 (REFL :args (_let_8)))) (let ((_let_85 (CONG _let_78 _let_84 :args _let_71))) (let ((_let_86 (ASSUME :args (_let_17)))) (let ((_let_87 (SYMM _let_86))) (let ((_let_88 (CONG _let_87 _let_84 :args _let_71))) (let ((_let_89 (REFL :args (_let_15)))) (let ((_let_90 (CONG _let_89 (TRANS _let_88 _let_85) :args _let_71))) (let ((_let_91 (TRANS _let_90 (CONG _let_85 _let_83 :args _let_71) (SYMM _let_82) (SYMM (SYMM _let_81))))) (let ((_let_92 (SYMM _let_90))) (let ((_let_93 (REFL :args (_let_47)))) (let ((_let_94 (ASSUME :args (_let_43)))) (let ((_let_95 (REFL :args (_let_37)))) (let ((_let_96 (REFL :args (_let_21)))) (let ((_let_97 (ASSUME :args (_let_19)))) (let ((_let_98 (SYMM _let_97))) (let ((_let_99 (SYMM _let_98))) (let ((_let_100 (CONG _let_89 (TRANS _let_99 (CONG (TRANS _let_77 _let_86) _let_83 :args _let_71)) :args _let_71))) (let ((_let_101 (ASSUME :args (_let_32)))) (let ((_let_102 (SYMM _let_101))) (let ((_let_103 (ASSUME :args (_let_27)))) (let ((_let_104 (SYMM _let_103))) (let ((_let_105 (ASSUME :args (_let_14)))) (let ((_let_106 (ASSUME :args (_let_25)))) (let ((_let_107 (CONG _let_87 _let_69 :args _let_71))) (let ((_let_108 (REFL :args (_let_12)))) (let ((_let_109 (CONG (CONG _let_89 (TRANS _let_105 (CONG _let_99 _let_108 :args _let_71) (CONG (TRANS _let_98 _let_105) _let_108 :args _let_71)) :args _let_71) (TRANS _let_107 (CONG _let_78 _let_69 :args _let_71) (SYMM (SYMM _let_106)) (CONG (TRANS (SYMM _let_105) (SYMM _let_104)) (REFL :args (_let_24)) :args _let_71)) :args _let_71))) (let ((_let_110 (TRANS _let_109 _let_102))) (let ((_let_111 (ASSUME :args (_let_41)))) (let ((_let_112 (SYMM _let_107))) (let ((_let_113 (ASSUME :args (_let_58)))) (let ((_let_114 (ASSUME :args (_let_36)))) (let ((_let_115 (SYMM (TRANS (SYMM _let_88) (SYMM (SYMM _let_114)))))) (let ((_let_116 (REFL :args (_let_34)))) (let ((_let_117 (CONG _let_116 (CONG _let_115 _let_84 :args _let_71) :args _let_71))) (let ((_let_118 (ASSUME :args (_let_50)))) (let ((_let_119 (REFL :args (_let_29)))) (let ((_let_120 (ASSUME :args (_let_42)))) (let ((_let_121 (ASSUME :args (_let_28)))) (let ((_let_122 (ASSUME :args (_let_38)))) (let ((_let_123 (ASSUME :args (_let_30)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_68)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_113 _let_70 _let_72 _let_118 _let_74 _let_94 _let_120 _let_76 _let_82 _let_73 _let_81 _let_114 _let_86 _let_75 _let_97 _let_103 _let_123 _let_122 _let_105 _let_121 _let_111 _let_106 _let_101) (SCOPE (TRANS (SYMM (SYMM _let_123)) (CONG _let_79 _let_119 :args _let_71) (SYMM (SYMM _let_122)) (CONG _let_95 (TRANS (CONG _let_115 _let_96 :args _let_71) _let_104 (SYMM (SYMM _let_121)) (CONG _let_90 (SYMM _let_79) :args _let_71) (CONG (TRANS _let_92 _let_91 (TRANS _let_112 (SYMM (SYMM _let_120)) (CONG _let_116 (CONG _let_110 _let_119 :args _let_71) :args _let_71))) _let_69 :args _let_71)) :args _let_71) (SYMM _let_118) (CONG (TRANS (SYMM _let_117) (TRANS _let_117 (SYMM (SYMM _let_113)) (CONG (TRANS (CONG _let_93 (TRANS (CONG (TRANS (SYMM _let_80) (TRANS _let_112 (SYMM (SYMM _let_111)) (CONG (TRANS _let_110 _let_100) (TRANS (CONG _let_110 (REFL :args (_let_39)) :args _let_71) _let_109 _let_102) :args _let_71) (CONG (SYMM _let_100) _let_96 :args _let_71))) _let_95 :args _let_71) (SYMM _let_94)) :args _let_71) (CONG _let_93 (CONG (TRANS (CONG _let_89 _let_85 :args _let_71) _let_92 _let_91 _let_80) (REFL :args (tptp.b)) :args _let_71) :args _let_71)) (TRANS (SYMM _let_73) (SYMM (SYMM _let_72))) :args _let_71) (SYMM _let_70))) _let_69 :args (APPLY_UF tptp.multiply))) :args (_let_58 _let_57 _let_53 _let_50 _let_49 _let_43 _let_42 _let_10 _let_31 _let_56 _let_11 _let_36 _let_17 _let_23 _let_19 _let_27 _let_30 _let_38 _let_14 _let_28 _let_41 _let_25 _let_32))) :args (_let_10 _let_11 _let_14 _let_17 _let_19 _let_23 _let_25 _let_27 _let_28 _let_30 _let_31 _let_32 _let_36 _let_38 _let_41 _let_42 _let_43 _let_49 _let_50 _let_53 _let_56 _let_57 _let_58))) :args (true _let_68)) :args ((or _let_2 (not _let_10) (not _let_11) (not _let_14) (not _let_17) (not _let_19) (not _let_23) (not _let_25) (not _let_27) (not _let_28) (not _let_30) (not _let_31) (not _let_32) (not _let_36) (not _let_38) (not _let_41) (not _let_42) (not _let_43) (not _let_49) (not _let_50) (not _let_53) (not _let_56) (not _let_57) (not _let_58)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_47 _let_54 _let_37 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_60 :args (_let_58 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_47 _let_51 tptp.b QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_60 :args (_let_57 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_47 _let_37 _let_46 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_60 :args (_let_56 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_47 tptp.b _let_46 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_60 :args (_let_53 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_37 tptp.a _let_34 QUANTIFIERS_INST_E_MATCHING ((tptp.divide A (tptp.divide _let_67 B))))) :args _let_65)) _let_66 :args (_let_50 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_34 _let_45 _let_44 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_60 :args (_let_49 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_21 _let_21 _let_29 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_60 :args (_let_43 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_21 _let_29 _let_39 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_60 :args (_let_42 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_21 _let_39 _let_39 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_60 :args (_let_41 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_34 _let_21 _let_33 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_60 :args (_let_38 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_21 _let_29 _let_20 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_60 :args (_let_36 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_15 _let_24 _let_21 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_60 :args (_let_32 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide A A) tptp.identity))))) :args _let_62)) _let_63 :args (_let_31 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.a tptp.b _let_15 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply A B) _let_67))) :args _let_65)) _let_66 :args (_let_30 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_15 _let_20 _let_8 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_60 :args (_let_28 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.a _let_8 _let_8 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_60 :args (_let_27 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_8 _let_12 _let_12 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_60 :args (_let_25 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_15 _let_8 _let_9 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_60 :args (_let_23 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_7 _let_8 _let_8 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_60 :args (_let_19 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.a _let_8 tptp.a QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_60 :args (_let_17 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (_let_7 tptp.a _let_8 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_61)) _let_60 :args (_let_14 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args _let_62)) _let_63 :args (_let_11 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.a tptp.a tptp.a QUANTIFIERS_INST_ENUM)) :args _let_61)) _let_60 :args (_let_10 false _let_59)) (ASSUME :args (_let_3)) :args (false false _let_58 false _let_57 false _let_56 false _let_53 false _let_50 false _let_49 false _let_43 false _let_42 false _let_41 false _let_38 false _let_36 false _let_32 false _let_31 false _let_30 false _let_28 false _let_27 false _let_25 false _let_23 false _let_19 false _let_17 false _let_14 false _let_11 false _let_10 true _let_2)) :args (_let_6 _let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.inverse A) (tptp.divide (tptp.divide B B) A))) _let_4 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.68/0.90 )
% 0.73/0.91 % SZS output end Proof for GRP540-1
% 0.73/0.91 % cvc5---1.0.5 exiting
% 0.73/0.91 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------