TSTP Solution File: COL006-4 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COL006-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL006-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n022.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 : Sun Aug 27 05:18:54 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Ul6GWX5IVQ/cvc5---1.0.5_3842.p...
% 0.20/0.48 ------- get file name : TPTP file name is COL006-4
% 0.20/0.48 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3842.smt2...
% 0.20/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52 % SZS status Unsatisfiable for COL006-4
% 0.20/0.52 % SZS output start Proof for COL006-4
% 0.20/0.53 (
% 0.20/0.53 (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.s tptp.s))) (let ((_let_5 (tptp.apply _let_4 _let_3))) (let ((_let_6 (tptp.apply _let_3 tptp.k))) (let ((_let_7 (tptp.apply (tptp.apply _let_4 _let_6) _let_5))) (let ((_let_8 (tptp.apply tptp.k _let_7))) (let ((_let_9 (tptp.apply (tptp.apply tptp.s _let_8) _let_2))) (let ((_let_10 (tptp.fixed_point _let_9))) (let ((_let_11 (not _let_10))) (let ((_let_12 (forall ((Strong_fixed_point $$unsorted)) (let ((_let_1 (tptp.apply Strong_fixed_point tptp.fixed_pt))) (or (not (= _let_1 (tptp.apply tptp.fixed_pt _let_1))) (tptp.fixed_point Strong_fixed_point)))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.apply (tptp.apply tptp.k X) Y) X)))) (let ((_let_14 (forall ((X $$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_15 (tptp.apply _let_6 _let_5))) (let ((_let_16 (tptp.apply (tptp.apply tptp.s _let_5) _let_15))) (let ((_let_17 (= _let_7 _let_16))) (let ((_let_18 (tptp.apply _let_9 tptp.fixed_pt))) (let ((_let_19 (= _let_18 (tptp.apply tptp.fixed_pt _let_18)))) (let ((_let_20 (tptp.apply tptp.k _let_5))) (let ((_let_21 (tptp.apply _let_20 _let_20))) (let ((_let_22 (= _let_15 _let_21))) (let ((_let_23 (tptp.apply _let_2 tptp.fixed_pt))) (let ((_let_24 (tptp.apply _let_8 tptp.fixed_pt))) (let ((_let_25 (= _let_18 (tptp.apply _let_24 _let_23)))) (let ((_let_26 (tptp.apply tptp.k tptp.fixed_pt))) (let ((_let_27 (tptp.apply _let_1 tptp.fixed_pt))) (let ((_let_28 (= _let_23 (tptp.apply _let_27 _let_26)))) (let ((_let_29 (= _let_5 _let_21))) (let ((_let_30 (= _let_7 _let_24))) (let ((_let_31 (tptp.apply _let_15 _let_23))) (let ((_let_32 (tptp.apply _let_5 _let_23))) (let ((_let_33 (= (tptp.apply _let_16 _let_23) (tptp.apply _let_32 _let_31)))) (let ((_let_34 (= tptp.s _let_27))) (let ((_let_35 (tptp.apply _let_3 _let_23))) (let ((_let_36 (tptp.apply (tptp.apply tptp.s _let_23) _let_35))) (let ((_let_37 (= _let_32 _let_36))) (let ((_let_38 (tptp.apply _let_35 _let_31))) (let ((_let_39 (tptp.apply _let_23 _let_31))) (let ((_let_40 (= (tptp.apply _let_36 _let_31) (tptp.apply _let_39 _let_38)))) (let ((_let_41 (tptp.apply (tptp.apply tptp.k _let_31) _let_39))) (let ((_let_42 (= _let_38 _let_41))) (let ((_let_43 (tptp.apply _let_26 _let_38))) (let ((_let_44 (= (tptp.apply (tptp.apply (tptp.apply tptp.s _let_26) _let_31) _let_38) (tptp.apply _let_43 (tptp.apply _let_31 _let_38))))) (let ((_let_45 (= tptp.fixed_pt _let_43))) (let ((_let_46 (= _let_31 _let_41))) (let ((_let_47 (_let_14))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 ((tptp.apply (tptp.apply (tptp.apply tptp.s X) Y) Z)))) (let ((_let_50 (not _let_19))) (let ((_let_51 (or _let_50 _let_10))) (let ((_let_52 (_let_12))) (let ((_let_53 (ASSUME :args _let_52))) (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_13)) (MACRO_SR_EQ_INTRO :args (_let_13 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_17 _let_22 _let_25 _let_28 _let_29 _let_30 _let_33 _let_34 _let_37 _let_40 _let_42 _let_44 _let_45 _let_46))) (let ((_let_59 (APPLY_UF tptp.apply))) (let ((_let_60 (ASSUME :args (_let_25)))) (let ((_let_61 (REFL :args (_let_23)))) (let ((_let_62 (ASSUME :args (_let_30)))) (let ((_let_63 (ASSUME :args (_let_17)))) (let ((_let_64 (CONG (TRANS (SYMM _let_63) (SYMM (SYMM _let_62))) _let_61 :args _let_59))) (let ((_let_65 (ASSUME :args (_let_33)))) (let ((_let_66 (REFL :args (_let_31)))) (let ((_let_67 (ASSUME :args (_let_37)))) (let ((_let_68 (CONG (SYMM _let_67) _let_66 :args _let_59))) (let ((_let_69 (ASSUME :args (_let_46)))) (let ((_let_70 (ASSUME :args (_let_42)))) (let ((_let_71 (REFL :args (_let_38)))) (let ((_let_72 (ASSUME :args (_let_29)))) (let ((_let_73 (ASSUME :args (_let_22)))) (let ((_let_74 (ASSUME :args (_let_45)))) (let ((_let_75 (ASSUME :args (_let_44)))) (let ((_let_76 (ASSUME :args (_let_34)))) (let ((_let_77 (ASSUME :args (_let_28)))) (let ((_let_78 (ASSUME :args (_let_40)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_58)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_74 _let_60 _let_62 _let_63 _let_65 _let_67 _let_69 _let_70 _let_72 _let_73 _let_75 _let_76 _let_77 _let_78) (SCOPE (TRANS _let_60 (SYMM _let_64) _let_65 (SYMM _let_68) (SYMM (SYMM _let_78)) (CONG (CONG (TRANS (SYMM (SYMM _let_77)) (CONG (SYMM _let_76) (REFL :args (_let_26)) :args _let_59)) _let_66 :args _let_59) _let_71 :args _let_59) (SYMM (SYMM _let_75)) (CONG (SYMM _let_74) (TRANS (CONG (TRANS (CONG (TRANS (SYMM (SYMM _let_73)) (SYMM _let_72)) _let_61 :args _let_59) _let_67) _let_71 :args _let_59) (CONG (REFL :args (_let_36)) (TRANS (SYMM (SYMM _let_70)) (SYMM _let_69)) :args _let_59) _let_68 (SYMM _let_65) _let_64 (SYMM _let_60)) :args _let_59)) :args (_let_45 _let_25 _let_30 _let_17 _let_33 _let_37 _let_46 _let_42 _let_29 _let_22 _let_44 _let_34 _let_28 _let_40))) :args (_let_17 _let_22 _let_25 _let_28 _let_29 _let_30 _let_33 _let_34 _let_37 _let_40 _let_42 _let_44 _let_45 _let_46))) :args (true _let_58)) :args ((or _let_19 (not _let_17) (not _let_22) (not _let_25) (not _let_28) (not _let_29) (not _let_30) (not _let_33) (not _let_34) (not _let_37) (not _let_40) (not _let_42) (not _let_44) (not _let_45) (not _let_46)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_31 _let_39 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_38 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_48 :args (_let_26 _let_31 _let_38 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_44 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.k _let_23 _let_31 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_42 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_23 _let_35 _let_31 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_40 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.s _let_3 _let_23 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_37 false _let_14)) (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_34 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_5 _let_15 _let_23 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_33 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_7 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_55 :args (_let_5 _let_20 QUANTIFIERS_INST_E_MATCHING _let_57)) :args _let_56)) _let_55 :args (_let_29 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_1 tptp.k tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_28 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_8 _let_2 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_25 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.k tptp.k _let_5 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_22 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_10 _let_50 (not _let_51)))) (ASSUME :args (_let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.fixed_point Strong_fixed_point) true))))) :args _let_52)) _let_53 :args (_let_51 false _let_12)) :args (_let_50 true _let_10 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.s _let_6 _let_5 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_17 false _let_14)) :args (false false _let_46 false _let_45 false _let_44 false _let_42 false _let_40 false _let_37 false _let_34 false _let_33 false _let_30 false _let_29 false _let_28 false _let_25 false _let_22 true _let_19 false _let_17)) :args (_let_14 _let_13 _let_12 _let_11)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53 )
% 0.20/0.53 % SZS output end Proof for COL006-4
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------