TSTP Solution File: COL006-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COL006-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 : Wed Aug 30 18:22:58 EDT 2023
% Result : Unsatisfiable 0.19s 0.54s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL006-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 : Sun Aug 27 05:22:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.e3ZGtb5z7Y/cvc5---1.0.5_19262.p...
% 0.19/0.49 ------- get file name : TPTP file name is COL006-2
% 0.19/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19262.smt2...
% 0.19/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.54 % SZS status Unsatisfiable for COL006-2
% 0.19/0.54 % SZS output start Proof for COL006-2
% 0.19/0.54 (
% 0.19/0.54 (let ((_let_1 (tptp.apply tptp.k tptp.s))) (let ((_let_2 (tptp.apply (tptp.apply tptp.s _let_1) tptp.k))) (let ((_let_3 (tptp.apply tptp.s tptp.k))) (let ((_let_4 (tptp.apply (tptp.apply tptp.s tptp.s) _let_3))) (let ((_let_5 (tptp.apply tptp.k _let_4))) (let ((_let_6 (tptp.apply (tptp.apply tptp.s _let_5) _let_2))) (let ((_let_7 (tptp.apply _let_3 tptp.k))) (let ((_let_8 (tptp.apply (tptp.apply tptp.s _let_7) _let_7))) (let ((_let_9 (tptp.apply tptp.k _let_8))) (let ((_let_10 (tptp.apply (tptp.apply tptp.s _let_9) _let_6))) (let ((_let_11 (tptp.fixed_point _let_10))) (let ((_let_12 (not _let_11))) (let ((_let_13 (forall ((Strong_fixed_point $$unsorted)) (let ((_let_1 (tptp.apply Strong_fixed_point tptp.fixed_pt))) (or (not (= _let_1 (tptp.apply tptp.fixed_pt _let_1))) (tptp.fixed_point Strong_fixed_point)))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.apply (tptp.apply tptp.k X) Y) X)))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.apply (tptp.apply (tptp.apply tptp.s X) Y) Z) (tptp.apply (tptp.apply X Z) (tptp.apply Y Z)))))) (let ((_let_16 (tptp.apply _let_10 tptp.fixed_pt))) (let ((_let_17 (= _let_16 (tptp.apply tptp.fixed_pt _let_16)))) (let ((_let_18 (tptp.apply _let_6 tptp.fixed_pt))) (let ((_let_19 (tptp.apply _let_9 tptp.fixed_pt))) (let ((_let_20 (= _let_16 (tptp.apply _let_19 _let_18)))) (let ((_let_21 (tptp.apply _let_2 tptp.fixed_pt))) (let ((_let_22 (tptp.apply _let_5 tptp.fixed_pt))) (let ((_let_23 (= _let_18 (tptp.apply _let_22 _let_21)))) (let ((_let_24 (= _let_8 _let_19))) (let ((_let_25 (tptp.apply _let_7 _let_18))) (let ((_let_26 (= (tptp.apply _let_8 _let_18) (tptp.apply _let_25 _let_25)))) (let ((_let_27 (tptp.apply tptp.k tptp.fixed_pt))) (let ((_let_28 (tptp.apply _let_1 tptp.fixed_pt))) (let ((_let_29 (= _let_21 (tptp.apply _let_28 _let_27)))) (let ((_let_30 (= _let_4 _let_22))) (let ((_let_31 (tptp.apply _let_3 _let_21))) (let ((_let_32 (tptp.apply (tptp.apply tptp.s _let_21) _let_31))) (let ((_let_33 (= (tptp.apply _let_4 _let_21) _let_32))) (let ((_let_34 (tptp.apply tptp.k _let_18))) (let ((_let_35 (tptp.apply _let_34 _let_34))) (let ((_let_36 (= _let_25 _let_35))) (let ((_let_37 (= tptp.s _let_28))) (let ((_let_38 (= _let_18 _let_35))) (let ((_let_39 (tptp.apply _let_31 _let_25))) (let ((_let_40 (tptp.apply _let_21 _let_25))) (let ((_let_41 (= (tptp.apply _let_32 _let_25) (tptp.apply _let_40 _let_39)))) (let ((_let_42 (= _let_39 (tptp.apply (tptp.apply tptp.k _let_25) _let_40)))) (let ((_let_43 (tptp.apply _let_27 _let_39))) (let ((_let_44 (= (tptp.apply (tptp.apply (tptp.apply tptp.s _let_27) _let_25) _let_39) (tptp.apply _let_43 (tptp.apply _let_25 _let_39))))) (let ((_let_45 (= tptp.fixed_pt _let_43))) (let ((_let_46 (= _let_18 (tptp.apply _let_34 _let_40)))) (let ((_let_47 (not _let_17))) (let ((_let_48 (or _let_47 _let_11))) (let ((_let_49 (_let_13))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (_let_15))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 ((tptp.apply (tptp.apply (tptp.apply tptp.s X) Y) Z)))) (let ((_let_54 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.apply (tptp.apply tptp.k X) Y))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (_let_54))) (let ((_let_57 ((tptp.apply (tptp.apply tptp.k X) Y)))) (let ((_let_58 (and _let_20 _let_23 _let_24 _let_26 _let_29 _let_30 _let_33 _let_36 _let_37 _let_38 _let_41 _let_42 _let_44 _let_45 _let_46))) (let ((_let_59 (APPLY_UF tptp.apply))) (let ((_let_60 (ASSUME :args (_let_20)))) (let ((_let_61 (ASSUME :args (_let_24)))) (let ((_let_62 (CONG (SYMM (SYMM _let_61)) (REFL :args (_let_18)) :args _let_59))) (let ((_let_63 (ASSUME :args (_let_26)))) (let ((_let_64 (ASSUME :args (_let_36)))) (let ((_let_65 (SYMM _let_64))) (let ((_let_66 (ASSUME :args (_let_38)))) (let ((_let_67 (SYMM _let_66))) (let ((_let_68 (SYMM _let_67))) (let ((_let_69 (ASSUME :args (_let_46)))) (let ((_let_70 (TRANS _let_64 _let_67))) (let ((_let_71 (ASSUME :args (_let_42)))) (let ((_let_72 (ASSUME :args (_let_23)))) (let ((_let_73 (REFL :args (_let_21)))) (let ((_let_74 (ASSUME :args (_let_30)))) (let ((_let_75 (ASSUME :args (_let_33)))) (let ((_let_76 (TRANS (SYMM _let_75) (CONG (SYMM (SYMM _let_74)) _let_73 :args _let_59) (SYMM _let_72) _let_68 _let_65))) (let ((_let_77 (REFL :args (_let_39)))) (let ((_let_78 (SYMM _let_76))) (let ((_let_79 (ASSUME :args (_let_45)))) (let ((_let_80 (ASSUME :args (_let_44)))) (let ((_let_81 (ASSUME :args (_let_37)))) (let ((_let_82 (ASSUME :args (_let_29)))) (let ((_let_83 (ASSUME :args (_let_41)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_58)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_79 _let_60 _let_61 _let_63 _let_64 _let_66 _let_72 _let_74 _let_75 _let_69 _let_71 _let_80 _let_81 _let_82 _let_83) (SCOPE (TRANS _let_60 (SYMM _let_62) _let_63 (CONG _let_78 (REFL :args (_let_25)) :args _let_59) (SYMM (SYMM _let_83)) (CONG (TRANS (CONG _let_73 _let_70 :args _let_59) (CONG (TRANS (SYMM (SYMM _let_82)) (CONG (SYMM _let_81) (REFL :args (_let_27)) :args _let_59)) (SYMM _let_70) :args _let_59)) _let_77 :args _let_59) (SYMM (SYMM _let_80)) (CONG (SYMM _let_79) (TRANS (CONG _let_78 _let_77 :args _let_59) (CONG _let_76 (TRANS (SYMM (SYMM _let_71)) (CONG (CONG (REFL :args (tptp.k)) _let_70 :args _let_59) (REFL :args (_let_40)) :args _let_59) (SYMM _let_69) _let_68 _let_65) :args _let_59) (SYMM _let_63) _let_62 (SYMM _let_60)) :args _let_59)) :args (_let_45 _let_20 _let_24 _let_26 _let_36 _let_38 _let_23 _let_30 _let_33 _let_46 _let_42 _let_44 _let_37 _let_29 _let_41))) :args (_let_20 _let_23 _let_24 _let_26 _let_29 _let_30 _let_33 _let_36 _let_37 _let_38 _let_41 _let_42 _let_44 _let_45 _let_46))) :args (true _let_58)) :args ((or _let_17 (not _let_20) (not _let_23) (not _let_24) (not _let_26) (not _let_29) (not _let_30) (not _let_33) (not _let_36) (not _let_37) (not _let_38) (not _let_41) (not _let_42) (not _let_44) (not _let_45) (not _let_46)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_18 _let_40 QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_56)) _let_55 :args (_let_46 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.fixed_pt _let_39 QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_56)) _let_55 :args (_let_45 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_27 _let_25 _let_39 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_51)) _let_52 :args (_let_44 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.k _let_21 _let_25 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_51)) _let_52 :args (_let_42 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_21 _let_31 _let_25 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_51)) _let_52 :args (_let_41 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_18 _let_34 QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_56)) _let_55 :args (_let_38 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.s tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_56)) _let_55 :args (_let_37 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.k tptp.k _let_18 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_51)) _let_52 :args (_let_36 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.s _let_3 _let_21 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_51)) _let_52 :args (_let_33 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_4 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_56)) _let_55 :args (_let_30 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_1 tptp.k tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_51)) _let_52 :args (_let_29 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_7 _let_7 _let_18 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_51)) _let_52 :args (_let_26 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_8 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_56)) _let_55 :args (_let_24 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_5 _let_2 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_51)) _let_52 :args (_let_23 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_9 _let_6 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_51)) _let_52 :args (_let_20 false _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_11 _let_47 (not _let_48)))) (ASSUME :args (_let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.fixed_point Strong_fixed_point) true))))) :args _let_49)) _let_50 :args (_let_48 false _let_13)) :args (_let_47 true _let_11 false _let_48)) :args (false false _let_46 false _let_45 false _let_44 false _let_42 false _let_41 false _let_38 false _let_37 false _let_36 false _let_33 false _let_30 false _let_29 false _let_26 false _let_24 false _let_23 false _let_20 true _let_17)) :args (_let_15 _let_14 _let_13 _let_12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.54 )
% 0.19/0.54 % SZS output end Proof for COL006-2
% 0.19/0.55 % cvc5---1.0.5 exiting
% 0.19/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------