TSTP Solution File: GRP528-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP528-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 00:26:19 EDT 2023
% Result : Unsatisfiable 0.22s 0.69s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP528-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.37 % Computer : n027.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Aug 29 01:24:23 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.iP5pHAQA2y/cvc5---1.0.5_10360.p...
% 0.22/0.53 ------- get file name : TPTP file name is GRP528-1
% 0.22/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10360.smt2...
% 0.22/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.69 % SZS status Unsatisfiable for GRP528-1
% 0.22/0.69 % SZS output start Proof for GRP528-1
% 0.22/0.69 (
% 0.22/0.69 (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.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 (tptp.divide A B) (tptp.divide C B))) C)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.divide A (tptp.divide (tptp.divide A B) (tptp.divide C B))))))) (let ((_let_9 (tptp.divide tptp.b tptp.b))) (let ((_let_10 (tptp.divide _let_9 _let_9))) (let ((_let_11 (tptp.divide tptp.a tptp.a))) (let ((_let_12 (tptp.divide _let_11 _let_11))) (let ((_let_13 (tptp.divide _let_12 (tptp.divide tptp.a _let_11)))) (let ((_let_14 (tptp.divide tptp.b _let_10))) (let ((_let_15 (tptp.divide _let_14 (tptp.divide _let_13 _let_10)))) (let ((_let_16 (= _let_15 (tptp.divide tptp.a (tptp.divide _let_11 (tptp.divide _let_15 tptp.a)))))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (tptp.divide tptp.b _let_15))) (let ((_let_19 (tptp.divide _let_15 _let_15))) (let ((_let_20 (= tptp.b (tptp.divide _let_15 (tptp.divide _let_19 _let_18))))) (let ((_let_21 (tptp.divide _let_19 tptp.a))) (let ((_let_22 (= _let_19 (tptp.divide tptp.a (tptp.divide _let_11 _let_21))))) (let ((_let_23 (tptp.inverse tptp.a))) (let ((_let_24 (= _let_23 _let_21))) (let ((_let_25 (= _let_13 _let_18))) (let ((_let_26 (tptp.divide _let_13 _let_13))) (let ((_let_27 (= _let_13 (tptp.divide _let_13 (tptp.divide _let_26 _let_26))))) (let ((_let_28 (tptp.divide _let_26 tptp.a))) (let ((_let_29 (= _let_26 (tptp.divide tptp.a (tptp.divide _let_11 _let_28))))) (let ((_let_30 (= _let_23 _let_28))) (let ((_let_31 (= tptp.b _let_14))) (let ((_let_32 (tptp.divide _let_11 _let_13))) (let ((_let_33 (= _let_11 (tptp.divide _let_11 (tptp.divide _let_32 _let_32))))) (let ((_let_34 (= tptp.a _let_32))) (let ((_let_35 (tptp.divide tptp.a _let_12))) (let ((_let_36 (tptp.divide _let_35 _let_35))) (let ((_let_37 (tptp.divide tptp.a _let_36))) (let ((_let_38 (= _let_9 (tptp.divide tptp.a (tptp.divide _let_37 (tptp.divide _let_9 _let_36)))))) (let ((_let_39 (tptp.inverse _let_11))) (let ((_let_40 (= _let_39 (tptp.divide _let_9 _let_11)))) (let ((_let_41 (= _let_23 (tptp.divide _let_12 tptp.a)))) (let ((_let_42 (= _let_2 (tptp.divide tptp.a (tptp.divide _let_12 tptp.b))))) (let ((_let_43 (tptp.divide _let_11 tptp.a))) (let ((_let_44 (= _let_1 (tptp.divide tptp.b _let_43)))) (let ((_let_45 (= _let_12 _let_39))) (let ((_let_46 (= tptp.a _let_37))) (let ((_let_47 (= _let_23 _let_43))) (let ((_let_48 (= tptp.a _let_35))) (let ((_let_49 (not _let_16))) (let ((_let_50 (_let_8))) (let ((_let_51 ((tptp.divide (tptp.divide A B) (tptp.divide C B))))) (let ((_let_52 (_let_5))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (tptp.divide B B))) (let ((_let_55 ((tptp.inverse A) _let_54))) (let ((_let_56 (_let_6))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 ((tptp.multiply A B) (tptp.divide C C)))) (let ((_let_59 (ASSUME :args (_let_4)))) (let ((_let_60 (and _let_4 _let_48 _let_47 _let_46 _let_45 _let_44 _let_42 _let_41 _let_40 _let_38 _let_34 _let_33 _let_31 _let_30 _let_29 _let_27 _let_25 _let_24 _let_22 _let_20))) (let ((_let_61 (ASSUME :args (_let_44)))) (let ((_let_62 (APPLY_UF tptp.divide))) (let ((_let_63 (ASSUME :args (_let_47)))) (let ((_let_64 (ASSUME :args (_let_41)))) (let ((_let_65 (SYMM _let_64))) (let ((_let_66 (ASSUME :args (_let_46)))) (let ((_let_67 (SYMM _let_66))) (let ((_let_68 (ASSUME :args (_let_48)))) (let ((_let_69 (SYMM _let_68))) (let ((_let_70 (SYMM _let_69))) (let ((_let_71 (CONG _let_70 _let_70 :args _let_62))) (let ((_let_72 (REFL :args (tptp.a)))) (let ((_let_73 (CONG (REFL :args (_let_12)) (TRANS (CONG _let_72 _let_71 :args _let_62) _let_67) :args _let_62))) (let ((_let_74 (ASSUME :args (_let_27)))) (let ((_let_75 (ASSUME :args (_let_29)))) (let ((_let_76 (ASSUME :args (_let_30)))) (let ((_let_77 (REFL :args (_let_11)))) (let ((_let_78 (ASSUME :args (_let_34)))) (let ((_let_79 (TRANS (CONG _let_72 (TRANS _let_78 (CONG _let_77 (TRANS _let_73 _let_65 (SYMM (SYMM _let_76))) :args _let_62)) :args _let_62) (SYMM _let_75)))) (let ((_let_80 (ASSUME :args (_let_45)))) (let ((_let_81 (ASSUME :args (_let_40)))) (let ((_let_82 (ASSUME :args (_let_38)))) (let ((_let_83 (TRANS (SYMM (SYMM _let_82)) (CONG _let_72 (TRANS (CONG _let_67 (TRANS (CONG (REFL :args (_let_9)) (SYMM _let_71) :args _let_62) (SYMM _let_81) (SYMM _let_80)) :args _let_62) _let_69) :args _let_62)))) (let ((_let_84 (ASSUME :args (_let_31)))) (let ((_let_85 (ASSUME :args (_let_42)))) (let ((_let_86 (SYMM _let_78))) (let ((_let_87 (ASSUME :args (_let_33)))) (let ((_let_88 (ASSUME :args (_let_20)))) (let ((_let_89 (ASSUME :args (_let_25)))) (let ((_let_90 (ASSUME :args (_let_22)))) (let ((_let_91 (ASSUME :args (_let_24)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.a tptp.a _let_15 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_60)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_85 _let_78 _let_87 _let_88 _let_90 _let_91 _let_64 _let_66 _let_68 _let_89 _let_59 _let_61 _let_84 _let_63 _let_74 _let_75 _let_76 _let_80 _let_81 _let_82) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG _let_72 (TRANS (CONG _let_77 (TRANS (CONG (REFL :args (_let_15)) (TRANS _let_78 (CONG (TRANS (CONG _let_72 (TRANS _let_78 (CONG _let_77 (TRANS _let_73 _let_65 (SYMM (SYMM _let_91))) :args _let_62)) :args _let_62) (SYMM _let_90)) (SYMM (SYMM _let_89)) :args _let_62)) :args _let_62) (SYMM _let_88)) :args _let_62) (CONG (TRANS (SYMM (SYMM _let_87)) (CONG _let_77 (CONG _let_86 _let_86 :args _let_62) :args _let_62)) (REFL :args (tptp.b)) :args _let_62)) :args _let_62) (SYMM _let_85)) (TRANS (CONG (SYMM _let_84) (TRANS (CONG (REFL :args (_let_13)) (TRANS (CONG _let_83 _let_83 :args _let_62) (CONG _let_79 _let_79 :args _let_62)) :args _let_62) (SYMM _let_74) _let_73 _let_65 (SYMM (SYMM _let_63))) :args _let_62) (SYMM _let_61)) :args (=)) (FALSE_INTRO _let_59)) :args ((= _let_16 false)))) :args (_let_42 _let_34 _let_33 _let_20 _let_22 _let_24 _let_41 _let_46 _let_48 _let_25 _let_4 _let_44 _let_31 _let_47 _let_27 _let_29 _let_30 _let_45 _let_40 _let_38))) :args (_let_4 _let_48 _let_47 _let_46 _let_45 _let_44 _let_42 _let_41 _let_40 _let_38 _let_34 _let_33 _let_31 _let_30 _let_29 _let_27 _let_25 _let_24 _let_22 _let_20))) :args (true _let_60)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) (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_42))) (REFL :args ((not _let_41))) (REFL :args ((not _let_40))) (REFL :args ((not _let_38))) (REFL :args ((not _let_34))) (REFL :args ((not _let_33))) (REFL :args ((not _let_31))) (REFL :args ((not _let_30))) (REFL :args ((not _let_29))) (REFL :args ((not _let_27))) (REFL :args ((not _let_25))) (REFL :args ((not _let_24))) (REFL :args ((not _let_22))) (REFL :args ((not _let_20))) (REFL :args (_let_49)) :args (or))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.a tptp.a tptp.a QUANTIFIERS_INST_ENUM)) :args _let_50)) _let_17 :args (_let_48 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.a tptp.a QUANTIFIERS_INST_ENUM)) :args _let_52)) _let_53 :args (_let_47 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.a _let_12 tptp.a QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_17 :args (_let_46 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_11 tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.divide _let_54 A)))) :args _let_52))) _let_53 :args (_let_45 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.b tptp.a tptp.a QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_56)) _let_57 :args (_let_44 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.a tptp.b _let_11 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_56)) _let_57 :args (_let_42 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.a _let_11 QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_52)) _let_53 :args (_let_41 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_11 tptp.b QUANTIFIERS_INST_E_MATCHING _let_55)) :args _let_52)) _let_53 :args (_let_40 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.a _let_36 _let_9 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_17 :args (_let_38 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_11 _let_11 tptp.a QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_17 :args (_let_34 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_11 _let_13 _let_11 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_17 :args (_let_33 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.b tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_17 :args (_let_31 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.a _let_13 QUANTIFIERS_INST_ENUM)) :args _let_52)) _let_53 :args (_let_30 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.a tptp.a _let_26 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_17 :args (_let_29 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_13 _let_13 _let_13 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_17 :args (_let_27 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.b _let_10 _let_13 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_17 :args (_let_25 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.a _let_15 QUANTIFIERS_INST_ENUM)) :args _let_52)) _let_53 :args (_let_24 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (tptp.a tptp.a _let_19 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_17 :args (_let_22 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (_let_15 _let_15 tptp.b QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_17 :args (_let_20 false _let_8)) :args (_let_49 true _let_3 false _let_48 false _let_47 false _let_46 false _let_45 false _let_44 false _let_42 false _let_41 false _let_40 false _let_38 false _let_34 false _let_33 false _let_31 false _let_30 false _let_29 false _let_27 false _let_25 false _let_24 false _let_22 false _let_20)) _let_17 :args (false true _let_16 false _let_8)) :args (_let_7 _let_6 _let_5 _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.69 )
% 0.22/0.69 % SZS output end Proof for GRP528-1
% 0.22/0.70 % cvc5---1.0.5 exiting
% 0.22/0.70 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------