TSTP Solution File: GRP496-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP496-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 00:26:13 EDT 2023
% Result : Unsatisfiable 0.36s 0.60s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP496-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 23:41:00 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.XOu3vPqwqe/cvc5---1.0.5_4937.p...
% 0.20/0.50 ------- get file name : TPTP file name is GRP496-1
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4937.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.36/0.60 % SZS status Unsatisfiable for GRP496-1
% 0.36/0.60 % SZS output start Proof for GRP496-1
% 0.36/0.60 (
% 0.36/0.60 (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 tptp.identity (tptp.double_divide A (tptp.double_divide B tptp.identity))) (tptp.double_divide (tptp.double_divide B (tptp.double_divide C A)) tptp.identity)) C)))) (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.multiply tptp.identity _let_9) (tptp.double_divide _let_10 tptp.identity)))) (let ((_let_16 (tptp.inverse _let_9))) (let ((_let_17 (= _let_10 _let_16))) (let ((_let_18 (tptp.double_divide tptp.identity _let_12))) (let ((_let_19 (tptp.double_divide tptp.identity tptp.identity))) (let ((_let_20 (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity _let_19)))) (let ((_let_21 (tptp.double_divide _let_20 (tptp.double_divide _let_18 tptp.identity)))) (let ((_let_22 (= tptp.a1 _let_21))) (let ((_let_23 (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_12 _let_19)) (tptp.double_divide (tptp.double_divide tptp.identity _let_18) tptp.identity))))) (let ((_let_24 (tptp.double_divide tptp.a1 _let_9))) (let ((_let_25 (tptp.double_divide _let_24 _let_9))) (let ((_let_26 (tptp.double_divide _let_24 tptp.identity))) (let ((_let_27 (tptp.double_divide _let_1 _let_26))) (let ((_let_28 (tptp.double_divide tptp.identity _let_27))) (let ((_let_29 (tptp.double_divide _let_28 (tptp.double_divide _let_25 tptp.identity)))) (let ((_let_30 (= tptp.a1 _let_29))) (let ((_let_31 (tptp.inverse _let_24))) (let ((_let_32 (= _let_26 _let_31))) (let ((_let_33 (tptp.double_divide _let_9 _let_9))) (let ((_let_34 (tptp.inverse _let_33))) (let ((_let_35 (= (tptp.double_divide _let_33 tptp.identity) _let_34))) (let ((_let_36 (= tptp.identity (tptp.double_divide _let_9 _let_16)))) (let ((_let_37 (tptp.double_divide _let_21 tptp.identity))) (let ((_let_38 (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity (tptp.double_divide _let_20 tptp.identity))))) (let ((_let_39 (tptp.double_divide _let_38 _let_37))) (let ((_let_40 (= _let_18 _let_39))) (let ((_let_41 (tptp.double_divide _let_10 _let_19))) (let ((_let_42 (tptp.double_divide (tptp.double_divide tptp.identity _let_41) tptp.identity))) (let ((_let_43 (= _let_10 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_19 _let_19)) _let_42)))) (let ((_let_44 (tptp.double_divide _let_28 tptp.identity))) (let ((_let_45 (= _let_25 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity _let_44)) (tptp.double_divide _let_29 tptp.identity))))) (let ((_let_46 (= _let_42 (tptp.multiply _let_41 tptp.identity)))) (let ((_let_47 (= _let_44 (tptp.multiply _let_27 tptp.identity)))) (let ((_let_48 (= tptp.identity (tptp.double_divide _let_24 _let_31)))) (let ((_let_49 (= tptp.identity (tptp.double_divide _let_33 _let_34)))) (let ((_let_50 (= _let_38 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_37 _let_19)) (tptp.double_divide (tptp.double_divide tptp.identity _let_39) tptp.identity))))) (let ((_let_51 (= _let_38 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_37 (tptp.double_divide _let_1 tptp.identity))) (tptp.double_divide (tptp.double_divide _let_1 _let_39) tptp.identity))))) (let ((_let_52 (_let_6))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (_let_5))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (_let_4))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 ((tptp.inverse A)))) (let ((_let_59 ((tptp.double_divide B A)))) (let ((_let_60 ((tptp.double_divide A tptp.identity)))) (let ((_let_61 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide A (tptp.double_divide B tptp.identity))) (tptp.double_divide (tptp.double_divide B (tptp.double_divide C A)) tptp.identity)))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (_let_61))) (let ((_let_64 ((tptp.double_divide B (tptp.double_divide C A))))) (let ((_let_65 (and _let_11 _let_13 _let_14 _let_15 _let_17 _let_22 _let_23 _let_30 _let_32 _let_35 _let_36 _let_40 _let_43 _let_45 _let_46 _let_47 _let_48 _let_49 _let_50 _let_51))) (let ((_let_66 (ASSUME :args (_let_11)))) (let ((_let_67 (ASSUME :args (_let_43)))) (let ((_let_68 (APPLY_UF tptp.double_divide))) (let ((_let_69 (ASSUME :args (_let_46)))) (let ((_let_70 (APPLY_UF tptp.multiply))) (let ((_let_71 (ASSUME :args (_let_14)))) (let ((_let_72 (SYMM _let_71))) (let ((_let_73 (REFL :args (tptp.identity)))) (let ((_let_74 (ASSUME :args (_let_13)))) (let ((_let_75 (SYMM _let_74))) (let ((_let_76 (REFL :args (tptp.a1)))) (let ((_let_77 (CONG _let_76 _let_75 :args _let_68))) (let ((_let_78 (TRANS _let_77 _let_72))) (let ((_let_79 (CONG _let_78 _let_73 :args _let_68))) (let ((_let_80 (SYMM _let_77))) (let ((_let_81 (ASSUME :args (_let_48)))) (let ((_let_82 (SYMM _let_81))) (let ((_let_83 (ASSUME :args (_let_32)))) (let ((_let_84 (TRANS _let_74 (CONG _let_76 _let_71 :args _let_68)))) (let ((_let_85 (CONG _let_84 (SYMM (SYMM _let_83)) :args _let_68))) (let ((_let_86 (CONG (REFL :args (_let_24)) _let_72 :args _let_68))) (let ((_let_87 (ASSUME :args (_let_45)))) (let ((_let_88 (SYMM _let_87))) (let ((_let_89 (ASSUME :args (_let_30)))) (let ((_let_90 (ASSUME :args (_let_22)))) (let ((_let_91 (CONG (SYMM _let_90) _let_73 :args _let_68))) (let ((_let_92 (ASSUME :args (_let_47)))) (let ((_let_93 (ASSUME :args (_let_15)))) (let ((_let_94 (SYMM _let_93))) (let ((_let_95 (CONG _let_77 _let_73 :args _let_68))) (let ((_let_96 (CONG _let_80 _let_72 :args _let_68))) (let ((_let_97 (TRANS _let_96 _let_95))) (let ((_let_98 (SYMM _let_96))) (let ((_let_99 (ASSUME :args (_let_36)))) (let ((_let_100 (ASSUME :args (_let_17)))) (let ((_let_101 (SYMM _let_78))) (let ((_let_102 (CONG (CONG _let_73 (CONG _let_73 (TRANS (CONG (TRANS (TRANS (CONG _let_101 (TRANS (CONG _let_71 (TRANS (SYMM _let_79) _let_95 (SYMM (SYMM _let_100))) :args _let_68) (SYMM _let_99)) :args _let_68) _let_98) _let_97) _let_73 :args _let_68) _let_94 (CONG (TRANS _let_81 (SYMM _let_85)) _let_72 :args _let_70) (SYMM _let_92)) :args _let_68) :args _let_68) (TRANS _let_91 (CONG (SYMM (SYMM _let_89)) _let_73 :args _let_68)) :args _let_68))) (let ((_let_103 (CONG _let_84 _let_73 :args _let_68))) (let ((_let_104 (TRANS _let_91 _let_75))) (let ((_let_105 (CONG (TRANS (TRANS (CONG _let_101 (TRANS (CONG _let_104 _let_103 :args _let_68) _let_85 _let_82) :args _let_68) _let_98) _let_97) (TRANS (CONG (TRANS (TRANS (CONG (REFL :args (_let_1)) (TRANS _let_102 _let_88 _let_86) :args _let_68) _let_85 _let_82 _let_71) _let_80) _let_73 :args _let_68) _let_79) :args _let_68))) (let ((_let_106 (ASSUME :args (_let_51)))) (let ((_let_107 (SYMM (SYMM _let_106)))) (let ((_let_108 (ASSUME :args (_let_50)))) (let ((_let_109 (SYMM _let_108))) (let ((_let_110 (ASSUME :args (_let_40)))) (let ((_let_111 (TRANS (SYMM _let_95) _let_79))) (let ((_let_112 (SYMM _let_111))) (let ((_let_113 (CONG (TRANS (CONG _let_73 (CONG _let_75 _let_112 :args _let_68) :args _let_68) (CONG _let_73 (CONG (SYMM _let_104) _let_111 :args _let_68) :args _let_68)) (CONG (TRANS (CONG _let_73 (TRANS (SYMM (SYMM _let_110)) _let_102 _let_88 _let_86 (SYMM _let_103)) :args _let_68) (CONG _let_73 (TRANS _let_103 (SYMM _let_86) _let_87 (SYMM _let_102)) :args _let_68)) _let_73 :args _let_68) :args _let_68))) (let ((_let_114 (ASSUME :args (_let_23)))) (let ((_let_115 (SYMM (SYMM _let_114)))) (let ((_let_116 (CONG _let_112 _let_111 :args _let_68))) (let ((_let_117 (TRANS _let_96 _let_79))) (let ((_let_118 (ASSUME :args (_let_35)))) (let ((_let_119 (ASSUME :args (_let_49)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_65)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_66 _let_67 _let_71 _let_74 _let_81 _let_83 _let_90 _let_87 _let_92 _let_93 _let_99 _let_100 _let_89 _let_106 _let_108 _let_110 _let_114 _let_69 _let_118 _let_119) (SCOPE (TRANS (SYMM (SYMM _let_119)) (CONG _let_117 (SYMM _let_118) :args _let_68) (CONG (TRANS (SYMM _let_117) (TRANS _let_96 (CONG _let_78 (TRANS _let_115 _let_113 _let_109 _let_107 _let_105 (SYMM _let_116)) :args _let_68)) (CONG _let_73 _let_116 :args _let_68) (CONG _let_73 (CONG _let_111 (REFL :args (_let_19)) :args _let_68) :args _let_68)) (TRANS (CONG _let_97 _let_73 :args _let_68) _let_94 (CONG (TRANS _let_115 _let_113 _let_109 _let_107 _let_105) _let_72 :args _let_70) (SYMM _let_69)) :args _let_68) (SYMM _let_67) (SYMM _let_66)) :args (_let_11 _let_43 _let_14 _let_13 _let_48 _let_32 _let_22 _let_45 _let_47 _let_15 _let_36 _let_17 _let_30 _let_51 _let_50 _let_40 _let_23 _let_46 _let_35 _let_49))) :args (_let_11 _let_13 _let_14 _let_15 _let_17 _let_22 _let_23 _let_30 _let_32 _let_35 _let_36 _let_40 _let_43 _let_45 _let_46 _let_47 _let_48 _let_49 _let_50 _let_51))) :args (true _let_65)) :args ((or _let_8 (not _let_11) (not _let_13) (not _let_14) (not _let_15) (not _let_17) (not _let_22) (not _let_23) (not _let_30) (not _let_32) (not _let_35) (not _let_36) (not _let_40) (not _let_43) (not _let_45) (not _let_46) (not _let_47) (not _let_48) (not _let_49) (not _let_50) (not _let_51)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_37 _let_1 _let_38 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_63)) _let_62 :args (_let_51 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_37 tptp.identity _let_38 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_63)) _let_62 :args (_let_50 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_49 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_48 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_27 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_52))) _let_53 :args (_let_47 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_41 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_52))) _let_53 :args (_let_46 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.identity _let_28 _let_25 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_63)) _let_62 :args (_let_45 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_19 tptp.identity _let_10 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_63)) _let_62 :args (_let_43 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.identity _let_20 _let_18 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_63)) _let_62 :args (_let_40 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_36 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_54))) _let_55 :args (_let_35 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_54))) _let_55 :args (_let_32 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_1 _let_24 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_63)) _let_62 :args (_let_30 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (_let_12 tptp.identity tptp.identity QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_63)) _let_62 :args (_let_23 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.identity tptp.identity tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_64)) :args _let_63)) _let_62 :args (_let_22 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_54))) _let_55 :args (_let_17 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.identity _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59)) :args _let_52)) _let_53 :args (_let_15 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_14 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse A)))) :args _let_54)) _let_55 :args (_let_13 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_1 tptp.a1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply A B)))) :args _let_52)) _let_53 :args (_let_11 false _let_6)) (SYMM (ASSUME :args (_let_3))) :args (false false _let_51 false _let_50 false _let_49 false _let_48 false _let_47 false _let_46 false _let_45 false _let_43 false _let_40 false _let_36 false _let_35 false _let_32 false _let_30 false _let_23 false _let_22 false _let_17 false _let_15 false _let_14 false _let_13 false _let_11 true _let_8)) :args (_let_7 _let_6 _let_5 _let_4 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.36/0.60 )
% 0.36/0.60 % SZS output end Proof for GRP496-1
% 0.36/0.60 % cvc5---1.0.5 exiting
% 0.36/0.61 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------