TSTP Solution File: SEV091^5 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEV091^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n012.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 19:21:31 EDT 2023

% Result   : Theorem 0.15s 0.48s
% Output   : Proof 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SEV091^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11  % Command    : do_cvc5 %s %d
% 0.11/0.31  % Computer : n012.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Thu Aug 24 01:48:27 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.15/0.42  %----Proving TH0
% 0.15/0.48  %------------------------------------------------------------------------------
% 0.15/0.48  % File     : SEV091^5 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.48  % Domain   : Set Theory (Relations)
% 0.15/0.48  % Problem  : TPS problem from RELN-THMS
% 0.15/0.48  % Version  : Especial.
% 0.15/0.48  % English  :
% 0.15/0.48  
% 0.15/0.48  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.15/0.48  % Source   : [Bro09]
% 0.15/0.48  % Names    : tps_1029 [Bro09]
% 0.15/0.48  
% 0.15/0.48  % Status   : Theorem
% 0.15/0.48  % Rating   : 0.27 v8.1.0, 0.25 v7.4.0, 0.33 v7.3.0, 0.30 v7.2.0, 0.38 v7.1.0, 0.43 v7.0.0, 0.38 v6.4.0, 0.43 v6.3.0, 0.50 v6.0.0, 0.33 v5.5.0, 0.20 v5.4.0, 0.25 v5.1.0, 0.50 v5.0.0, 0.25 v4.1.0, 0.33 v4.0.1, 0.67 v4.0.0
% 0.15/0.48  % Syntax   : Number of formulae    :    3 (   0 unt;   2 typ;   0 def)
% 0.15/0.48  %            Number of atoms       :   12 (   0 equ;   0 cnn)
% 0.15/0.48  %            Maximal formula atoms :   12 (  12 avg)
% 0.15/0.48  %            Number of connectives :   35 (   0   ~;   2   |;   5   &;  24   @)
% 0.15/0.48  %                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
% 0.15/0.48  %            Maximal formula depth :   11 (  11 avg)
% 0.15/0.48  %            Number of types       :    2 (   0 usr)
% 0.15/0.48  %            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
% 0.15/0.48  %            Number of symbols     :    2 (   2 usr;   0 con; 2-2 aty)
% 0.15/0.48  %            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)
% 0.15/0.48  % SPC      : TH0_THM_NEQ_NAR
% 0.15/0.48  
% 0.15/0.48  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.15/0.48  %            project in the Department of Mathematical Sciences at Carnegie
% 0.15/0.48  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.15/0.48  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.15/0.48  %------------------------------------------------------------------------------
% 0.15/0.48  thf(cQ,type,
% 0.15/0.48      cQ: $i > $i > $o ).
% 0.15/0.48  
% 0.15/0.48  thf(cP,type,
% 0.15/0.48      cP: $i > $i > $o ).
% 0.15/0.48  
% 0.15/0.48  thf(cCADE13_pme,conjecture,
% 0.15/0.48      ( ( ! [Xx: $i,Xy: $i,Xz: $i] :
% 0.15/0.48            ( ( ( cP @ Xx @ Xy )
% 0.15/0.48              & ( cP @ Xy @ Xz ) )
% 0.15/0.48           => ( cP @ Xx @ Xz ) )
% 0.15/0.48        & ! [Xx: $i,Xy: $i,Xz: $i] :
% 0.15/0.48            ( ( ( cQ @ Xx @ Xy )
% 0.15/0.48              & ( cQ @ Xy @ Xz ) )
% 0.15/0.48           => ( cQ @ Xx @ Xz ) )
% 0.15/0.48        & ! [Xx: $i,Xy: $i] :
% 0.15/0.48            ( ( cQ @ Xx @ Xy )
% 0.15/0.48           => ( cQ @ Xy @ Xx ) )
% 0.15/0.48        & ! [Xx: $i,Xy: $i] :
% 0.15/0.48            ( ( cP @ Xx @ Xy )
% 0.15/0.48            | ( cQ @ Xx @ Xy ) ) )
% 0.15/0.48     => ( ! [Xx: $i,Xy: $i] : ( cP @ Xx @ Xy )
% 0.15/0.48        | ! [Xx: $i,Xy: $i] : ( cQ @ Xx @ Xy ) ) ) ).
% 0.15/0.48  
% 0.15/0.48  %------------------------------------------------------------------------------
% 0.15/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.VDdnXljjln/cvc5---1.0.5_12801.p...
% 0.15/0.48  (declare-sort $$unsorted 0)
% 0.15/0.48  (declare-fun tptp.cQ ($$unsorted $$unsorted) Bool)
% 0.15/0.48  (declare-fun tptp.cP ($$unsorted $$unsorted) Bool)
% 0.15/0.48  (assert (not (=> (and (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (let ((_let_1 (@ tptp.cP Xx))) (=> (and (@ _let_1 Xy) (@ (@ tptp.cP Xy) Xz)) (@ _let_1 Xz)))) (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (let ((_let_1 (@ tptp.cQ Xx))) (=> (and (@ _let_1 Xy) (@ (@ tptp.cQ Xy) Xz)) (@ _let_1 Xz)))) (forall ((Xx $$unsorted) (Xy $$unsorted)) (=> (@ (@ tptp.cQ Xx) Xy) (@ (@ tptp.cQ Xy) Xx))) (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (@ (@ tptp.cP Xx) Xy) (@ (@ tptp.cQ Xx) Xy)))) (or (forall ((Xx $$unsorted) (Xy $$unsorted)) (@ (@ tptp.cP Xx) Xy)) (forall ((Xx $$unsorted) (Xy $$unsorted)) (@ (@ tptp.cQ Xx) Xy))))))
% 0.15/0.48  (set-info :filename cvc5---1.0.5_12801)
% 0.15/0.48  (check-sat-assuming ( true ))
% 0.15/0.48  ------- get file name : TPTP file name is SEV091^5
% 0.15/0.48  ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12801.smt2...
% 0.15/0.48  --- Run --ho-elim --full-saturate-quant at 10...
% 0.15/0.48  % SZS status Theorem for SEV091^5
% 0.15/0.48  % SZS output start Proof for SEV091^5
% 0.15/0.48  (
% 0.15/0.48  (let ((_let_1 (or (forall ((Xx $$unsorted) (Xy $$unsorted)) (@ (@ tptp.cP Xx) Xy)) (forall ((Xx $$unsorted) (Xy $$unsorted)) (@ (@ tptp.cQ Xx) Xy))))) (let ((_let_2 (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (@ (@ tptp.cP Xx) Xy) (@ (@ tptp.cQ Xx) Xy))))) (let ((_let_3 (not (=> (and (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (let ((_let_1 (@ tptp.cP Xx))) (=> (and (@ _let_1 Xy) (@ (@ tptp.cP Xy) Xz)) (@ _let_1 Xz)))) (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (let ((_let_1 (@ tptp.cQ Xx))) (=> (and (@ _let_1 Xy) (@ (@ tptp.cQ Xy) Xz)) (@ _let_1 Xz)))) (forall ((Xx $$unsorted) (Xy $$unsorted)) (=> (@ (@ tptp.cQ Xx) Xy) (@ (@ tptp.cQ Xy) Xx))) _let_2) _let_1)))) (let ((_let_4 (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (let ((_let_1 (ho_3 k_5 Xx))) (or (not (ho_4 _let_1 Xy)) (not (ho_4 (ho_3 k_5 Xy) Xz)) (ho_4 _let_1 Xz)))))) (let ((_let_5 (ho_3 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_6 (ho_4 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_7 (ho_4 (ho_3 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_8 (not _let_7))) (let ((_let_9 (ho_4 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8 _let_6))) (let ((_let_12 (0))) (let ((_let_13 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_14 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_15 (forall ((u |u_(-> $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_16 (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_17 (forall ((Xx $$unsorted) (Xy $$unsorted)) (ho_4 (ho_3 k_2 Xx) Xy)))) (let ((_let_18 (forall ((Xx $$unsorted) (Xy $$unsorted)) (ho_4 (ho_3 k_5 Xx) Xy)))) (let ((_let_19 (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (ho_4 (ho_3 k_5 Xx) Xy) (ho_4 (ho_3 k_2 Xx) Xy))))) (let ((_let_20 (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (ho_4 (ho_3 k_2 Xx) Xy)) (ho_4 (ho_3 k_2 Xy) Xx))))) (let ((_let_21 (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (let ((_let_1 (ho_3 k_2 Xx))) (or (not (ho_4 _let_1 Xy)) (not (ho_4 (ho_3 k_2 Xy) Xz)) (ho_4 _let_1 Xz)))))) (let ((_let_22 (not (=> (and _let_4 _let_21 _let_20 _let_19) (or _let_18 _let_17))))) (let ((_let_23 (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_3)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (=> (and (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (let ((_let_1 (@ tptp.cP Xx))) (or (not (@ _let_1 Xy)) (not (@ (@ tptp.cP Xy) Xz)) (@ _let_1 Xz)))) (forall ((Xx $$unsorted) (Xy $$unsorted) (Xz $$unsorted)) (let ((_let_1 (@ tptp.cQ Xx))) (or (not (@ _let_1 Xy)) (not (@ (@ tptp.cQ Xy) Xz)) (@ _let_1 Xz)))) (forall ((Xx $$unsorted) (Xy $$unsorted)) (or (not (@ (@ tptp.cQ Xx) Xy)) (@ (@ tptp.cQ Xy) Xx))) _let_2) _let_1)) _let_22))))) (PREPROCESS :args ((and _let_16 _let_15 _let_14 _let_13)))) :args ((and _let_22 _let_16 _let_15 _let_14 _let_13))) :args _let_12))) (let ((_let_24 (NOT_IMPLIES_ELIM1 _let_23))) (let ((_let_25 (AND_ELIM _let_24 :args _let_12))) (let ((_let_26 (not _let_11))) (let ((_let_27 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_28 (ho_4 _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_29 (or _let_7 _let_28))) (let ((_let_30 (AND_ELIM _let_24 :args (3)))) (let ((_let_31 (_let_19))) (let ((_let_32 ((not (= (ho_4 (ho_3 k_2 Xx) Xy) true))))) (let ((_let_33 (ASSUME :args _let_31))) (let ((_let_34 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_35 (ho_4 _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_36 (not _let_28))) (let ((_let_37 (or _let_36 _let_35))) (let ((_let_38 (AND_ELIM _let_24 :args (2)))) (let ((_let_39 (_let_20))) (let ((_let_40 ((not (= (ho_4 (ho_3 k_2 Xy) Xx) true))))) (let ((_let_41 (ASSUME :args _let_39))) (let ((_let_42 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_43 (ho_4 _let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_44 (not _let_35))) (let ((_let_45 (ho_4 _let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_44 _let_43))) (let ((_let_48 (1))) (let ((_let_49 (AND_ELIM _let_24 :args _let_48))) (let ((_let_50 (_let_21))) (let ((_let_51 ((not (= (ho_4 (ho_3 k_2 Xx) Xz) true)) (ho_3 k_2 Xy)))) (let ((_let_52 (ASSUME :args _let_50))) (let ((_let_53 (ho_4 (ho_3 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_54 (or _let_53 _let_45))) (let ((_let_55 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_56 (ho_4 _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_57 (not _let_56))) (let ((_let_58 (ho_4 _let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_57 _let_45))) (let ((_let_61 (not _let_53))) (let ((_let_62 (ho_4 _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_61 _let_6))) (let ((_let_65 (ho_4 _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_58))) (let ((_let_68 (or _let_62 _let_65))) (let ((_let_69 (or _let_6 _let_56))) (let ((_let_70 (not _let_6))) (let ((_let_71 (NOT_IMPLIES_ELIM2 _let_23))) (let ((_let_72 (or))) (let ((_let_73 (not _let_18))) (let ((_let_74 (_let_73))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_74)) :args _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_18))) (REFL :args (_let_70)) :args _let_72)) (NOT_OR_ELIM _let_71 :args _let_12) :args (_let_70 true _let_18)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_6 _let_56 (not _let_69)))) _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((not (= (ho_4 (ho_3 k_5 Xx) Xy) true))))) :args _let_31)) _let_30 :args (_let_69 false _let_19)) :args (_let_56 true _let_6 false _let_69)))) (let ((_let_77 (_let_4))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 ((not (= (ho_4 (ho_3 k_2 Xx) Xy) false))))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_65 _let_62 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING _let_32)) :args _let_31)) _let_30 :args (_let_68 false _let_19)) (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_58 (not _let_67)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_39)) _let_38 :args (_let_67 false _let_20)) (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_6 _let_63 _let_61 (not _let_64)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_77)) _let_25 :args (_let_64 false _let_4)) _let_75 (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_57 _let_45 _let_59 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_50)) _let_49 :args (_let_60 false _let_21)) _let_76 (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_45 _let_53 (not _let_54)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_32)) :args _let_31)) _let_30 :args (_let_54 false _let_19)) :args (_let_45 false _let_68 true _let_65 false _let_67 true _let_62 false _let_64 true _let_6 true _let_58 false _let_60 false _let_56 false _let_53 false _let_54)))) (let ((_let_81 (ho_4 _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_82 (not _let_43))) (let ((_let_83 (or _let_82 _let_81))) (let ((_let_84 (not _let_81))) (let ((_let_85 (not _let_17))) (let ((_let_86 (_let_85))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_81 _let_82 (not _let_83)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_86)) :args _let_86)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_17))) (REFL :args (_let_84)) :args _let_72)) (NOT_OR_ELIM _let_71 :args _let_48) :args (_let_84 true _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_83 false _let_20)) :args (_let_82 true _let_81 false _let_83)))) (let ((_let_88 (ho_4 _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_89 (or _let_9 _let_88))) (let ((_let_90 (not _let_88))) (let ((_let_91 (or _let_59 _let_90 _let_43))) (let ((_let_92 (ho_4 _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_46 _let_93 _let_58))) (let ((_let_95 (or _let_57 _let_92))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_77)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_6 _let_10 _let_8 _let_26))) _let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_88 _let_9 (not _let_89)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_43 _let_59 _let_90 (not _let_91)))) _let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_93 _let_46 _let_58 (not _let_94)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_57 _let_92 (not _let_95)))) _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_39)) _let_38 :args (_let_95 false _let_20)) :args (_let_92 false _let_56 false _let_95)) _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_50)) _let_49 :args (_let_94 false _let_21)) :args (_let_58 false _let_92 false _let_45 false _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_49 :args (_let_91 false _let_21)) :args (_let_90 true _let_43 false _let_58 false _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_32)) :args _let_31)) _let_30 :args (_let_89 false _let_19)) :args (_let_9 true _let_88 false _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_7 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_35 _let_36 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_43 _let_46 _let_44 (not _let_47)))) _let_87 _let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_49 :args (_let_47 false _let_21)) :args (_let_44 true _let_43 false _let_45 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_39)) _let_38 :args (_let_37 false _let_20)) :args (_let_36 true _let_35 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING _let_32)) :args _let_31)) _let_30 :args (_let_29 false _let_19)) :args (_let_7 true _let_28 false _let_29)) :args (_let_26 true _let_6 false _let_9 false _let_7)) _let_25 :args (false true _let_11 false _let_4)) :args (_let_3 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.15/0.48  )
% 0.15/0.48  % SZS output end Proof for SEV091^5
% 0.15/0.48  % cvc5---1.0.5 exiting
% 0.15/0.48  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------