TSTP Solution File: GRP521-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP521-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 00:26:17 EDT 2023
% Result : Unsatisfiable 0.21s 0.62s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP521-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n018.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 : Mon Aug 28 20:44:47 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/sandbox2/tmp/tmp.ocUZc2bsLC/cvc5---1.0.5_6988.p...
% 0.21/0.51 ------- get file name : TPTP file name is GRP521-1
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6988.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.62 % SZS status Unsatisfiable for GRP521-1
% 0.21/0.62 % SZS output start Proof for GRP521-1
% 0.21/0.62 (
% 0.21/0.62 (let ((_let_1 (tptp.inverse tptp.b1))) (let ((_let_2 (tptp.multiply _let_1 tptp.b1))) (let ((_let_3 (tptp.inverse tptp.a1))) (let ((_let_4 (= (tptp.multiply _let_3 tptp.a1) _let_2))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.inverse A) (tptp.divide (tptp.divide B B) A))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiply A B) (tptp.divide A (tptp.divide (tptp.divide C C) B)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.divide A (tptp.divide B (tptp.divide C (tptp.divide A B)))) C)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.divide A (tptp.divide B (tptp.divide C (tptp.divide A B)))))))) (let ((_let_10 (tptp.divide tptp.a1 tptp.a1))) (let ((_let_11 (tptp.divide _let_10 tptp.b1))) (let ((_let_12 (tptp.divide _let_1 _let_11))) (let ((_let_13 (tptp.divide tptp.b1 _let_12))) (let ((_let_14 (tptp.divide _let_1 _let_1))) (let ((_let_15 (= _let_14 (tptp.divide tptp.b1 (tptp.divide _let_12 (tptp.divide _let_14 _let_13)))))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (tptp.divide _let_10 _let_13))) (let ((_let_18 (= _let_10 (tptp.divide tptp.b1 (tptp.divide _let_12 _let_17))))) (let ((_let_19 (tptp.divide _let_1 (tptp.divide _let_14 tptp.b1)))) (let ((_let_20 (= _let_1 (tptp.divide _let_14 (tptp.divide tptp.b1 _let_19))))) (let ((_let_21 (= _let_2 _let_19))) (let ((_let_22 (= _let_1 _let_17))) (let ((_let_23 (= _let_1 _let_11))) (let ((_let_24 (= _let_2 _let_12))) (let ((_let_25 (tptp.divide tptp.a1 (tptp.divide tptp.a1 _let_10)))) (let ((_let_26 (tptp.divide _let_10 tptp.a1))) (let ((_let_27 (tptp.divide tptp.a1 (tptp.divide tptp.a1 _let_26)))) (let ((_let_28 (= (tptp.multiply _let_27 tptp.a1) (tptp.divide _let_27 (tptp.divide (tptp.divide _let_25 _let_25) tptp.a1))))) (let ((_let_29 (= _let_27 (tptp.divide _let_10 (tptp.divide tptp.a1 (tptp.divide _let_27 _let_26)))))) (let ((_let_30 (tptp.divide _let_10 _let_27))) (let ((_let_31 (tptp.divide tptp.a1 _let_30))) (let ((_let_32 (tptp.divide _let_10 (tptp.divide _let_27 _let_31)))) (let ((_let_33 (= _let_10 (tptp.divide _let_27 (tptp.divide _let_31 _let_32))))) (let ((_let_34 (= _let_25 (tptp.divide _let_10 (tptp.divide tptp.a1 (tptp.divide _let_25 _let_26)))))) (let ((_let_35 (tptp.divide tptp.a1 _let_25))) (let ((_let_36 (tptp.divide tptp.a1 _let_35))) (let ((_let_37 (tptp.divide tptp.a1 (tptp.divide _let_25 _let_36)))) (let ((_let_38 (= tptp.a1 (tptp.divide _let_25 (tptp.divide _let_36 _let_37))))) (let ((_let_39 (tptp.divide _let_25 (tptp.divide _let_10 _let_35)))) (let ((_let_40 (tptp.divide tptp.a1 _let_39))) (let ((_let_41 (= _let_25 (tptp.divide tptp.a1 (tptp.divide _let_39 (tptp.divide _let_25 _let_40)))))) (let ((_let_42 (= tptp.a1 _let_32))) (let ((_let_43 (= tptp.a1 _let_30))) (let ((_let_44 (= _let_10 _let_40))) (let ((_let_45 (= tptp.a1 _let_37))) (let ((_let_46 (= _let_3 _let_26))) (let ((_let_47 (= tptp.a1 _let_35))) (let ((_let_48 (not _let_15))) (let ((_let_49 (_let_9))) (let ((_let_50 ((tptp.divide C (tptp.divide A B))))) (let ((_let_51 (_let_7))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (tptp.divide C C))) (let ((_let_54 ((tptp.multiply A B) _let_53))) (let ((_let_55 (_let_6))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (ASSUME :args (_let_5)))) (let ((_let_58 (and _let_5 _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_24 _let_23 _let_22 _let_21 _let_20 _let_18))) (let ((_let_59 (ASSUME :args (_let_24)))) (let ((_let_60 (SYMM _let_59))) (let ((_let_61 (APPLY_UF tptp.divide))) (let ((_let_62 (ASSUME :args (_let_23)))) (let ((_let_63 (REFL :args (tptp.a1)))) (let ((_let_64 (ASSUME :args (_let_46)))) (let ((_let_65 (ASSUME :args (_let_47)))) (let ((_let_66 (SYMM _let_65))) (let ((_let_67 (ASSUME :args (_let_41)))) (let ((_let_68 (SYMM _let_67))) (let ((_let_69 (ASSUME :args (_let_44)))) (let ((_let_70 (SYMM _let_69))) (let ((_let_71 (CONG _let_63 _let_66 :args _let_61))) (let ((_let_72 (REFL :args (_let_25)))) (let ((_let_73 (REFL :args (_let_10)))) (let ((_let_74 (CONG _let_73 _let_65 :args _let_61))) (let ((_let_75 (ASSUME :args (_let_45)))) (let ((_let_76 (ASSUME :args (_let_38)))) (let ((_let_77 (CONG _let_63 (TRANS _let_75 (CONG (TRANS (SYMM (SYMM _let_76)) (CONG _let_72 (TRANS (CONG _let_71 (SYMM _let_75) :args _let_61) _let_74) :args _let_61)) (CONG _let_72 (TRANS _let_71 (SYMM _let_70)) :args _let_61) :args _let_61)) :args _let_61))) (let ((_let_78 (TRANS _let_77 _let_68))) (let ((_let_79 (ASSUME :args (_let_33)))) (let ((_let_80 (ASSUME :args (_let_42)))) (let ((_let_81 (ASSUME :args (_let_43)))) (let ((_let_82 (SYMM _let_81))) (let ((_let_83 (CONG _let_73 _let_82 :args _let_61))) (let ((_let_84 (REFL :args (_let_27)))) (let ((_let_85 (CONG _let_84 (TRANS _let_83 (CONG (CONG _let_63 (SYMM _let_82) :args _let_61) (SYMM (SYMM _let_80)) :args _let_61)) :args _let_61))) (let ((_let_86 (ASSUME :args (_let_29)))) (let ((_let_87 (ASSUME :args (_let_28)))) (let ((_let_88 (ASSUME :args (_let_34)))) (let ((_let_89 (ASSUME :args (_let_18)))) (let ((_let_90 (ASSUME :args (_let_22)))) (let ((_let_91 (ASSUME :args (_let_20)))) (let ((_let_92 (ASSUME :args (_let_21)))) (let ((_let_93 (REFL :args (tptp.b1)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.b1 _let_12 _let_14 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_58)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_64 _let_65 _let_67 _let_75 _let_76 _let_69 _let_79 _let_81 _let_80 _let_86 _let_87 _let_88 _let_89 _let_62 _let_90 _let_91 _let_92 _let_59 _let_57) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG _let_93 (CONG (REFL :args (_let_12)) (TRANS (CONG (REFL :args (_let_14)) (CONG _let_93 (TRANS _let_60 (SYMM (SYMM _let_92))) :args _let_61) :args _let_61) (SYMM _let_91) (SYMM (SYMM _let_90))) :args _let_61) :args _let_61) (SYMM _let_89) _let_79 (SYMM _let_85) (CONG _let_84 (TRANS _let_83 (CONG (TRANS _let_77 _let_68 (SYMM (SYMM _let_88)) (CONG _let_78 (TRANS (CONG _let_63 (CONG _let_72 _let_74 :args _let_61) :args _let_61) _let_70 _let_77 _let_68) :args _let_61)) _let_63 :args _let_61)) :args _let_61) (SYMM _let_87) (CONG (TRANS (SYMM (SYMM _let_86)) (CONG _let_73 (TRANS (CONG _let_63 (TRANS (CONG _let_84 (SYMM _let_83) :args _let_61) _let_85 (SYMM _let_79)) :args _let_61) (CONG _let_63 _let_78 :args _let_61) _let_66) :args _let_61) (SYMM _let_64)) _let_63 :args (APPLY_UF tptp.multiply))) (TRANS (CONG (REFL :args (_let_1)) (SYMM (SYMM _let_62)) :args _let_61) _let_60) :args (=)) (FALSE_INTRO _let_57)) :args ((= _let_15 false)))) :args (_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_18 _let_23 _let_22 _let_20 _let_21 _let_24 _let_5))) :args (_let_5 _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_24 _let_23 _let_22 _let_21 _let_20 _let_18))) :args (true _let_58)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (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_24))) (REFL :args ((not _let_23))) (REFL :args ((not _let_22))) (REFL :args ((not _let_21))) (REFL :args ((not _let_20))) (REFL :args ((not _let_18))) (REFL :args (_let_48)) :args (or))) _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.a1 tptp.a1 tptp.a1 QUANTIFIERS_INST_ENUM)) :args _let_49)) _let_16 :args (_let_47 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.a1 tptp.a1 QUANTIFIERS_INST_ENUM)) :args _let_55)) _let_56 :args (_let_46 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.a1 _let_25 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49)) _let_16 :args (_let_45 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.a1 _let_25 _let_10 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49)) _let_16 :args (_let_44 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_10 tptp.a1 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49)) _let_16 :args (_let_43 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_10 _let_27 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49)) _let_16 :args (_let_42 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.a1 _let_39 _let_25 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49)) _let_16 :args (_let_41 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_25 _let_36 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49)) _let_16 :args (_let_38 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_10 tptp.a1 _let_25 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49)) _let_16 :args (_let_34 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_27 _let_31 _let_10 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49)) _let_16 :args (_let_33 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_10 tptp.a1 _let_27 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49)) _let_16 :args (_let_29 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_27 tptp.a1 _let_25 QUANTIFIERS_INST_E_MATCHING ((tptp.divide A (tptp.divide _let_53 B))))) :args _let_51)) _let_52 :args (_let_28 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_1 tptp.b1 tptp.a1 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_51)) _let_52 :args (_let_24 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.b1 tptp.a1 QUANTIFIERS_INST_E_MATCHING ((tptp.inverse A) (tptp.divide B B)))) :args _let_55)) _let_56 :args (_let_23 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_10 tptp.b1 _let_1 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49)) _let_16 :args (_let_22 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_1 tptp.b1 _let_1 QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_51)) _let_52 :args (_let_21 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_14 tptp.b1 _let_1 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49)) _let_16 :args (_let_20 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (tptp.b1 _let_12 _let_10 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49)) _let_16 :args (_let_18 false _let_9)) :args (_let_48 true _let_4 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_24 false _let_23 false _let_22 false _let_21 false _let_20 false _let_18)) _let_16 :args (false true _let_15 false _let_9)) :args (_let_8 _let_7 _let_6 _let_5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.62 )
% 0.21/0.63 % SZS output end Proof for GRP521-1
% 0.21/0.63 % cvc5---1.0.5 exiting
% 0.21/0.63 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------