TSTP Solution File: GRP522-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP522-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 00:26:18 EDT 2023
% Result : Unsatisfiable 0.19s 0.66s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP522-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 01:18:00 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ntUtkfd4zS/cvc5---1.0.5_24451.p...
% 0.19/0.49 ------- get file name : TPTP file name is GRP522-1
% 0.19/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24451.smt2...
% 0.19/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.66 % SZS status Unsatisfiable for GRP522-1
% 0.19/0.66 % SZS output start Proof for GRP522-1
% 0.19/0.66 (
% 0.19/0.66 (let ((_let_1 (tptp.inverse tptp.b2))) (let ((_let_2 (tptp.multiply _let_1 tptp.b2))) (let ((_let_3 (tptp.multiply _let_2 tptp.a2))) (let ((_let_4 (not (= _let_3 tptp.a2)))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.inverse A) (tptp.divide (tptp.divide B B) A))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply A B) (tptp.divide A (tptp.divide (tptp.divide C C) B)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.divide A (tptp.divide B (tptp.divide C (tptp.divide A B)))) C)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.divide A (tptp.divide B (tptp.divide C (tptp.divide A B)))))))) (let ((_let_9 (tptp.divide tptp.b2 tptp.b2))) (let ((_let_10 (tptp.divide tptp.b2 (tptp.divide tptp.b2 _let_9)))) (let ((_let_11 (tptp.divide _let_10 _let_10))) (let ((_let_12 (tptp.divide _let_2 (tptp.divide _let_11 tptp.a2)))) (let ((_let_13 (tptp.divide _let_11 (tptp.divide tptp.a2 _let_12)))) (let ((_let_14 (tptp.divide _let_12 _let_13))) (let ((_let_15 (tptp.divide tptp.a2 _let_14))) (let ((_let_16 (tptp.divide _let_10 _let_15))) (let ((_let_17 (tptp.divide tptp.a2 (tptp.divide _let_14 _let_16)))) (let ((_let_18 (= tptp.a2 (tptp.divide _let_14 (tptp.divide _let_16 _let_17))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (= tptp.a2 (tptp.divide _let_12 (tptp.divide _let_13 _let_15))))) (let ((_let_21 (= _let_12 (tptp.divide tptp.a2 (tptp.divide _let_14 (tptp.divide _let_12 _let_15)))))) (let ((_let_22 (= _let_10 _let_17))) (let ((_let_23 (= _let_11 _let_15))) (let ((_let_24 (= _let_2 _let_13))) (let ((_let_25 (= _let_3 _let_12))) (let ((_let_26 (tptp.divide _let_9 tptp.b2))) (let ((_let_27 (tptp.divide tptp.b2 (tptp.divide tptp.b2 _let_26)))) (let ((_let_28 (= (tptp.multiply _let_27 tptp.b2) (tptp.divide _let_27 (tptp.divide _let_11 tptp.b2))))) (let ((_let_29 (= _let_27 (tptp.divide _let_9 (tptp.divide tptp.b2 (tptp.divide _let_27 _let_26)))))) (let ((_let_30 (tptp.divide _let_9 _let_27))) (let ((_let_31 (tptp.divide tptp.b2 _let_30))) (let ((_let_32 (tptp.divide _let_9 (tptp.divide _let_27 _let_31)))) (let ((_let_33 (= _let_9 (tptp.divide _let_27 (tptp.divide _let_31 _let_32))))) (let ((_let_34 (= _let_10 (tptp.divide _let_9 (tptp.divide tptp.b2 (tptp.divide _let_10 _let_26)))))) (let ((_let_35 (tptp.divide tptp.b2 _let_10))) (let ((_let_36 (tptp.divide tptp.b2 _let_35))) (let ((_let_37 (tptp.divide tptp.b2 (tptp.divide _let_10 _let_36)))) (let ((_let_38 (= tptp.b2 (tptp.divide _let_10 (tptp.divide _let_36 _let_37))))) (let ((_let_39 (tptp.divide _let_10 (tptp.divide _let_9 _let_35)))) (let ((_let_40 (tptp.divide tptp.b2 _let_39))) (let ((_let_41 (= _let_10 (tptp.divide tptp.b2 (tptp.divide _let_39 (tptp.divide _let_10 _let_40)))))) (let ((_let_42 (= tptp.b2 _let_32))) (let ((_let_43 (= tptp.b2 _let_30))) (let ((_let_44 (= _let_9 _let_40))) (let ((_let_45 (= tptp.b2 _let_37))) (let ((_let_46 (= _let_1 _let_26))) (let ((_let_47 (= tptp.b2 _let_35))) (let ((_let_48 (= tptp.a2 _let_3))) (let ((_let_49 (not _let_18))) (let ((_let_50 (_let_8))) (let ((_let_51 ((tptp.divide C (tptp.divide A B))))) (let ((_let_52 (_let_6))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (tptp.divide C C))) (let ((_let_55 (_let_5))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (SYMM (ASSUME :args (_let_4))))) (let ((_let_58 (not _let_48))) (let ((_let_59 (and _let_58 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41 _let_38 _let_34 _let_33 _let_29 _let_28 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20))) (let ((_let_60 (ASSUME :args (_let_25)))) (let ((_let_61 (ASSUME :args (_let_21)))) (let ((_let_62 (APPLY_UF tptp.divide))) (let ((_let_63 (ASSUME :args (_let_23)))) (let ((_let_64 (SYMM _let_63))) (let ((_let_65 (SYMM _let_64))) (let ((_let_66 (ASSUME :args (_let_41)))) (let ((_let_67 (SYMM _let_66))) (let ((_let_68 (ASSUME :args (_let_44)))) (let ((_let_69 (SYMM _let_68))) (let ((_let_70 (SYMM _let_69))) (let ((_let_71 (ASSUME :args (_let_47)))) (let ((_let_72 (REFL :args (tptp.b2)))) (let ((_let_73 (CONG _let_72 (SYMM _let_71) :args _let_62))) (let ((_let_74 (REFL :args (_let_10)))) (let ((_let_75 (REFL :args (_let_9)))) (let ((_let_76 (CONG _let_75 _let_71 :args _let_62))) (let ((_let_77 (ASSUME :args (_let_45)))) (let ((_let_78 (ASSUME :args (_let_38)))) (let ((_let_79 (CONG _let_72 (TRANS _let_77 (CONG (TRANS (SYMM (SYMM _let_78)) (CONG _let_74 (TRANS (CONG _let_73 (SYMM _let_77) :args _let_62) _let_76) :args _let_62)) (CONG _let_74 (TRANS _let_73 _let_70) :args _let_62) :args _let_62)) :args _let_62))) (let ((_let_80 (CONG _let_72 (CONG _let_74 _let_76 :args _let_62) :args _let_62))) (let ((_let_81 (TRANS _let_79 _let_67))) (let ((_let_82 (CONG _let_81 (TRANS _let_80 _let_69 _let_79 _let_67) :args _let_62))) (let ((_let_83 (ASSUME :args (_let_34)))) (let ((_let_84 (SYMM _let_83))) (let ((_let_85 (ASSUME :args (_let_33)))) (let ((_let_86 (SYMM _let_85))) (let ((_let_87 (ASSUME :args (_let_42)))) (let ((_let_88 (ASSUME :args (_let_43)))) (let ((_let_89 (SYMM _let_88))) (let ((_let_90 (CONG _let_75 _let_89 :args _let_62))) (let ((_let_91 (REFL :args (_let_27)))) (let ((_let_92 (CONG _let_91 (TRANS _let_90 (CONG (CONG _let_72 (SYMM _let_89) :args _let_62) (SYMM (SYMM _let_87)) :args _let_62)) :args _let_62))) (let ((_let_93 (SYMM _let_79))) (let ((_let_94 (SYMM _let_82))) (let ((_let_95 (CONG _let_91 (TRANS (CONG (TRANS _let_94 _let_84 _let_66 _let_93) _let_72 :args _let_62) (SYMM _let_90)) :args _let_62))) (let ((_let_96 (ASSUME :args (_let_28)))) (let ((_let_97 (SYMM _let_96))) (let ((_let_98 (SYMM _let_97))) (let ((_let_99 (ASSUME :args (_let_29)))) (let ((_let_100 (SYMM _let_92))) (let ((_let_101 (SYMM _let_81))) (let ((_let_102 (ASSUME :args (_let_46)))) (let ((_let_103 (CONG (TRANS (SYMM (SYMM _let_102)) (CONG _let_75 (TRANS _let_71 (CONG _let_72 _let_101 :args _let_62) (CONG _let_72 (TRANS _let_85 _let_100 (CONG _let_91 _let_90 :args _let_62)) :args _let_62)) :args _let_62) (SYMM _let_99)) _let_72 :args (APPLY_UF tptp.multiply)))) (let ((_let_104 (ASSUME :args (_let_24)))) (let ((_let_105 (SYMM _let_104))) (let ((_let_106 (REFL :args (_let_12)))) (let ((_let_107 (SYMM _let_80))) (let ((_let_108 (TRANS _let_64 _let_94 _let_84 _let_66 _let_93 _let_70 _let_107))) (let ((_let_109 (ASSUME :args (_let_20)))) (let ((_let_110 (TRANS (SYMM (SYMM _let_109)) (CONG _let_106 (TRANS (CONG (TRANS _let_105 _let_103 _let_98 _let_95 _let_92 _let_86) _let_108 :args _let_62) _let_84 _let_66 _let_93 _let_85 _let_100 (SYMM _let_95) _let_97 (SYMM _let_103) _let_104) :args _let_62)))) (let ((_let_111 (CONG _let_101 _let_108 :args _let_62))) (let ((_let_112 (ASSUME :args (_let_22)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_14 _let_16 tptp.a2 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_59)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_57 _let_60 _let_61 _let_109 _let_104 _let_102 _let_71 _let_66 _let_77 _let_78 _let_68 _let_85 _let_88 _let_87 _let_99 _let_96 _let_83 _let_63 _let_112) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.a2)) (TRANS (CONG (REFL :args (_let_14)) (TRANS (CONG (TRANS _let_111 _let_84 _let_66 _let_93) (TRANS (SYMM _let_112) _let_66 _let_93 _let_70 _let_107) :args _let_62) (SYMM _let_111)) :args _let_62) (CONG (SYMM _let_110) (TRANS _let_111 _let_82 _let_65 (CONG _let_110 (CONG _let_106 (TRANS _let_105 _let_103 _let_98 _let_95 _let_92 _let_86 _let_79 _let_67 (SYMM _let_84) _let_82 _let_65) :args _let_62) :args _let_62)) :args _let_62) (SYMM _let_61) (SYMM _let_60)) :args (=)) (FALSE_INTRO _let_57))) :args (_let_58 _let_25 _let_21 _let_20 _let_24 _let_46 _let_47 _let_41 _let_45 _let_38 _let_44 _let_33 _let_43 _let_42 _let_29 _let_28 _let_34 _let_23 _let_22))) :args (_let_58 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41 _let_38 _let_34 _let_33 _let_29 _let_28 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20))) :args (true _let_59)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _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_41))) (REFL :args ((not _let_38))) (REFL :args ((not _let_34))) (REFL :args ((not _let_33))) (REFL :args ((not _let_29))) (REFL :args ((not _let_28))) (REFL :args ((not _let_25))) (REFL :args ((not _let_24))) (REFL :args ((not _let_23))) (REFL :args ((not _let_22))) (REFL :args ((not _let_21))) (REFL :args ((not _let_20))) (REFL :args (_let_49)) :args (or))) _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.b2 tptp.b2 tptp.b2 QUANTIFIERS_INST_ENUM)) :args _let_50)) _let_19 :args (_let_47 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.b2 tptp.b2 QUANTIFIERS_INST_ENUM)) :args _let_55)) _let_56 :args (_let_46 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.b2 _let_10 tptp.b2 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_19 :args (_let_45 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.b2 _let_10 _let_9 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_19 :args (_let_44 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_9 tptp.b2 tptp.b2 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_19 :args (_let_43 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_9 _let_27 tptp.b2 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_19 :args (_let_42 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.b2 _let_39 _let_10 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_19 :args (_let_41 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_10 _let_36 tptp.b2 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_19 :args (_let_38 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_9 tptp.b2 _let_10 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_19 :args (_let_34 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_27 _let_31 _let_9 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_19 :args (_let_33 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_9 tptp.b2 _let_27 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_19 :args (_let_29 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_27 tptp.b2 _let_10 QUANTIFIERS_INST_E_MATCHING ((tptp.divide A (tptp.divide _let_54 B))))) :args _let_52)) _let_53 :args (_let_28 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_2 tptp.a2 _let_10 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply A B) _let_54))) :args _let_52)) _let_53 :args (_let_25 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_11 tptp.a2 _let_2 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_19 :args (_let_24 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.a2 _let_12 _let_11 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_19 :args (_let_23 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.a2 _let_14 _let_10 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_19 :args (_let_22 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.a2 _let_14 _let_12 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_19 :args (_let_21 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_12 _let_13 tptp.a2 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_19 :args (_let_20 false _let_8)) :args (_let_49 true _let_48 false _let_47 false _let_46 false _let_45 false _let_44 false _let_43 false _let_42 false _let_41 false _let_38 false _let_34 false _let_33 false _let_29 false _let_28 false _let_25 false _let_24 false _let_23 false _let_22 false _let_21 false _let_20)) _let_19 :args (false true _let_18 false _let_8)) :args (_let_7 _let_6 _let_5 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.66 )
% 0.19/0.66 % SZS output end Proof for GRP522-1
% 0.19/0.67 % cvc5---1.0.5 exiting
% 0.19/0.67 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------