TSTP Solution File: SET597^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET597^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 14:39:19 EDT 2023
% Result : Theorem 0.84s 1.11s
% Output : Proof 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET597^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 11:50:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TH0
% 0.84/1.11 %------------------------------------------------------------------------------
% 0.84/1.11 % File : SET597^5 : TPTP v8.1.2. Released v4.0.0.
% 0.84/1.11 % Domain : Set Theory
% 0.84/1.11 % Problem : TPS problem BOOL-PROP-56
% 0.84/1.11 % Version : Especial.
% 0.84/1.11 % English : Trybulec's 56th Boolean property of sets
% 0.84/1.11
% 0.84/1.11 % Refs : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of
% 0.84/1.11 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.84/1.11 % Source : [Bro09]
% 0.84/1.11 % Names : tps_0564 [Bro09]
% 0.84/1.11 % : BOOL-PROP-56 [TPS]
% 0.84/1.11
% 0.84/1.11 % Status : Theorem
% 0.84/1.11 % Rating : 0.46 v8.1.0, 0.45 v7.5.0, 0.43 v7.4.0, 0.56 v7.2.0, 0.50 v7.0.0, 0.43 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.43 v5.5.0, 0.67 v5.4.0, 0.60 v5.3.0, 0.80 v5.2.0, 0.60 v4.1.0, 0.67 v4.0.0
% 0.84/1.11 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.84/1.11 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 0.84/1.11 % Maximal formula atoms : 1 ( 1 avg)
% 0.84/1.11 % Number of connectives : 23 ( 0 ~; 1 |; 3 &; 12 @)
% 0.84/1.11 % ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% 0.84/1.11 % Maximal formula depth : 13 ( 13 avg)
% 0.84/1.11 % Number of types : 2 ( 1 usr)
% 0.84/1.11 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.84/1.11 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.84/1.11 % Number of variables : 10 ( 1 ^; 9 !; 0 ?; 10 :)
% 0.84/1.11 % SPC : TH0_THM_EQU_NAR
% 0.84/1.11
% 0.84/1.11 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.84/1.11 % project in the Department of Mathematical Sciences at Carnegie
% 0.84/1.11 % Mellon University. Distributed under the Creative Commons copyleft
% 0.84/1.11 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.84/1.11 % : Polymorphic definitions expanded.
% 0.84/1.11 %------------------------------------------------------------------------------
% 0.84/1.11 thf(a_type,type,
% 0.84/1.11 a: $tType ).
% 0.84/1.11
% 0.84/1.11 thf(cBOOL_PROP_56_pme,conjecture,
% 0.84/1.11 ! [X: a > $o,Y: a > $o,Z: a > $o] :
% 0.84/1.11 ( ( X
% 0.84/1.11 = ( ^ [Xz: a] :
% 0.84/1.11 ( ( Y @ Xz )
% 0.84/1.11 | ( Z @ Xz ) ) ) )
% 0.84/1.11 <=> ( ! [Xx: a] :
% 0.84/1.11 ( ( Y @ Xx )
% 0.84/1.11 => ( X @ Xx ) )
% 0.84/1.11 & ! [Xx: a] :
% 0.84/1.11 ( ( Z @ Xx )
% 0.84/1.11 => ( X @ Xx ) )
% 0.84/1.11 & ! [V: a > $o] :
% 0.84/1.11 ( ( ! [Xx: a] :
% 0.84/1.11 ( ( Y @ Xx )
% 0.84/1.11 => ( V @ Xx ) )
% 0.84/1.11 & ! [Xx: a] :
% 0.84/1.11 ( ( Z @ Xx )
% 0.84/1.11 => ( V @ Xx ) ) )
% 0.84/1.11 => ! [Xx: a] :
% 0.84/1.11 ( ( X @ Xx )
% 0.84/1.11 => ( V @ Xx ) ) ) ) ) ).
% 0.84/1.11
% 0.84/1.11 %------------------------------------------------------------------------------
% 0.84/1.11 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.PxlOhzigvw/cvc5---1.0.5_8316.p...
% 0.84/1.11 (declare-sort $$unsorted 0)
% 0.84/1.11 (declare-sort tptp.a 0)
% 0.84/1.11 (assert (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool))) (= (= X (lambda ((Xz tptp.a)) (or (@ Y Xz) (@ Z Xz)))) (and (forall ((Xx tptp.a)) (=> (@ Y Xx) (@ X Xx))) (forall ((Xx tptp.a)) (=> (@ Z Xx) (@ X Xx))) (forall ((V (-> tptp.a Bool))) (=> (and (forall ((Xx tptp.a)) (=> (@ Y Xx) (@ V Xx))) (forall ((Xx tptp.a)) (=> (@ Z Xx) (@ V Xx)))) (forall ((Xx tptp.a)) (=> (@ X Xx) (@ V Xx))))))))))
% 0.84/1.11 (set-info :filename cvc5---1.0.5_8316)
% 0.84/1.11 (check-sat-assuming ( true ))
% 0.84/1.11 ------- get file name : TPTP file name is SET597^5
% 0.84/1.11 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8316.smt2...
% 0.84/1.11 --- Run --ho-elim --full-saturate-quant at 10...
% 0.84/1.11 % SZS status Theorem for SET597^5
% 0.84/1.11 % SZS output start Proof for SET597^5
% 0.84/1.11 (
% 0.84/1.11 (let ((_let_1 (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool))) (= (= X (lambda ((Xz tptp.a)) (or (@ Y Xz) (@ Z Xz)))) (and (forall ((Xx tptp.a)) (=> (@ Y Xx) (@ X Xx))) (forall ((Xx tptp.a)) (=> (@ Z Xx) (@ X Xx))) (forall ((V (-> tptp.a Bool))) (=> (and (forall ((Xx tptp.a)) (=> (@ Y Xx) (@ V Xx))) (forall ((Xx tptp.a)) (=> (@ Z Xx) (@ V Xx)))) (forall ((Xx tptp.a)) (=> (@ X Xx) (@ V Xx))))))))))) (let ((_let_2 (ho_6 (ho_5 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_3 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_2))) (let ((_let_4 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_359))) (let ((_let_5 (ho_3 _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_359))) (let ((_let_6 (forall ((BOUND_VARIABLE_728 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_649 tptp.a)) (or (not (forall ((Xx tptp.a)) (or (not (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xx)) (ho_3 BOUND_VARIABLE_728 Xx)))) (not (forall ((Xx tptp.a)) (or (not (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xx)) (ho_3 BOUND_VARIABLE_728 Xx)))) (not (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 BOUND_VARIABLE_649)) (ho_3 BOUND_VARIABLE_728 BOUND_VARIABLE_649))))) (let ((_let_7 (forall ((Xx tptp.a)) (or (not (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xx)) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Xx))))) (let ((_let_8 (forall ((Xx tptp.a)) (or (not (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xx)) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Xx))))) (let ((_let_9 (and _let_8 _let_7 _let_6))) (let ((_let_10 (= _let_9 _let_3))) (let ((_let_11 (forall ((BOUND_VARIABLE_726 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_723 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_722 |u_(-> tptp.a Bool)|)) (= (and (forall ((Xx tptp.a)) (or (not (ho_3 BOUND_VARIABLE_723 Xx)) (ho_3 BOUND_VARIABLE_726 Xx))) (forall ((Xx tptp.a)) (or (not (ho_3 BOUND_VARIABLE_722 Xx)) (ho_3 BOUND_VARIABLE_726 Xx))) (forall ((BOUND_VARIABLE_728 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_649 tptp.a)) (or (not (forall ((Xx tptp.a)) (or (not (ho_3 BOUND_VARIABLE_723 Xx)) (ho_3 BOUND_VARIABLE_728 Xx)))) (not (forall ((Xx tptp.a)) (or (not (ho_3 BOUND_VARIABLE_722 Xx)) (ho_3 BOUND_VARIABLE_728 Xx)))) (not (ho_3 BOUND_VARIABLE_726 BOUND_VARIABLE_649)) (ho_3 BOUND_VARIABLE_728 BOUND_VARIABLE_649)))) (= (ho_6 (ho_5 k_4 BOUND_VARIABLE_723) BOUND_VARIABLE_722) BOUND_VARIABLE_726))))) (let ((_let_12 (not _let_10))) (let ((_let_13 (forall ((u |u_(-> tptp.a Bool)|) (e Bool) (i tptp.a)) (not (forall ((v |u_(-> tptp.a Bool)|)) (not (forall ((ii tptp.a)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_14 (forall ((x |u_(-> tptp.a Bool)|) (y |u_(-> tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_15 (forall ((u |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|) (e |u_(-> tptp.a Bool)|) (i |u_(-> tptp.a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (not (forall ((ii |u_(-> tptp.a Bool)|)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_16 (forall ((x |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|) (y |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (or (not (forall ((z |u_(-> tptp.a Bool)|)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_17 (forall ((u |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|) (e |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|) (i |u_(-> tptp.a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (not (forall ((ii |u_(-> tptp.a Bool)|)) (= (ho_5 v ii) (ite (= i ii) e (ho_5 u ii)))))))))) (let ((_let_18 (forall ((x |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|) (y |u_(-> _u_(-> tptp.a Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (or (not (forall ((z |u_(-> tptp.a Bool)|)) (= (ho_5 x z) (ho_5 y z)))) (= x y))))) (let ((_let_19 (forall ((BOUND_VARIABLE_704 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_701 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_686 tptp.a)) (= (ho_3 (ho_6 (ho_5 k_4 BOUND_VARIABLE_704) BOUND_VARIABLE_701) BOUND_VARIABLE_686) (or (ho_3 BOUND_VARIABLE_704 BOUND_VARIABLE_686) (ho_3 BOUND_VARIABLE_701 BOUND_VARIABLE_686)))))) (let ((_let_20 (not _let_11))) (let ((_let_21 (forall ((BOUND_VARIABLE_684 (-> tptp.a Bool)) (BOUND_VARIABLE_685 (-> tptp.a Bool)) (BOUND_VARIABLE_686 tptp.a)) (= (or (@ BOUND_VARIABLE_684 BOUND_VARIABLE_686) (@ BOUND_VARIABLE_685 BOUND_VARIABLE_686)) (ll_2 BOUND_VARIABLE_684 BOUND_VARIABLE_685 BOUND_VARIABLE_686))))) (let ((_let_22 (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool))) (= (and (forall ((Xx tptp.a)) (or (not (@ Y Xx)) (@ X Xx))) (forall ((Xx tptp.a)) (or (not (@ Z Xx)) (@ X Xx))) (forall ((V (-> tptp.a Bool)) (BOUND_VARIABLE_649 tptp.a)) (or (not (forall ((Xx tptp.a)) (or (not (@ Y Xx)) (@ V Xx)))) (not (forall ((Xx tptp.a)) (or (not (@ Z Xx)) (@ V Xx)))) (not (@ X BOUND_VARIABLE_649)) (@ V BOUND_VARIABLE_649)))) (= X (@ (@ ll_2 Y) Z))))))) (let ((_let_23 (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool))) (= (= X (lambda ((Xz tptp.a)) (or (@ Y Xz) (@ Z Xz)))) (and (forall ((Xx tptp.a)) (or (not (@ Y Xx)) (@ X Xx))) (forall ((Xx tptp.a)) (or (not (@ Z Xx)) (@ X Xx))) (forall ((V (-> tptp.a Bool)) (BOUND_VARIABLE_649 tptp.a)) (or (not (forall ((Xx tptp.a)) (or (not (@ Y Xx)) (@ V Xx)))) (not (forall ((Xx tptp.a)) (or (not (@ Z Xx)) (@ V Xx)))) (not (@ X BOUND_VARIABLE_649)) (@ V BOUND_VARIABLE_649))))))) _let_22))))) (PREPROCESS :args (_let_21))) (PREPROCESS :args ((= (and _let_22 _let_21) (and _let_20 _let_19))))) (PREPROCESS :args ((and _let_18 _let_17 _let_16 _let_15 _let_14 _let_13)))) :args ((and _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13))))) (let ((_let_24 (or))) (let ((_let_25 (_let_20))) (let ((_let_26 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_25)) :args _let_25) (REWRITE :args ((=> _let_20 (not (= _let_9 (= _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_11))) (REFL :args (_let_12)) :args _let_24)) (AND_ELIM _let_23 :args (0)) :args (_let_12 true _let_11)))) (let ((_let_27 (not _let_9))) (let ((_let_28 (not _let_8))) (let ((_let_29 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_354 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_355))) (let ((_let_30 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_355))) (let ((_let_31 (not _let_30))) (let ((_let_32 (forall ((Xx tptp.a)) (or (not (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xx)) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_354 Xx))))) (let ((_let_33 (not _let_32))) (let ((_let_34 (forall ((Xx tptp.a)) (or (not (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xx)) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_354 Xx))))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_31 _let_29))) (let ((_let_37 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_355))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_29))) (let ((_let_40 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_355))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_29))) (let ((_let_43 (or _let_37 _let_40))) (let ((_let_44 (ho_3 _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_355))) (let ((_let_45 (= _let_44 _let_43))) (let ((_let_46 (not _let_6))) (let ((_let_47 (_let_46))) (let ((_let_48 (_let_10))) (let ((_let_49 (REORDERING (CNF_EQUIV_NEG1 :args _let_48) :args ((or _let_9 _let_3 _let_10))))) (let ((_let_50 (REFL :args (_let_36)))) (let ((_let_51 (_let_34))) (let ((_let_52 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_355 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_53 (_let_32))) (let ((_let_54 (AND_ELIM _let_23 :args (1)))) (let ((_let_55 (_let_19))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (and _let_3 _let_30))) (let ((_let_58 (ASSUME :args (_let_30)))) (let ((_let_59 (APPLY_UF ho_3))) (let ((_let_60 (ASSUME :args (_let_3)))) (let ((_let_61 (SYMM _let_60))) (let ((_let_62 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_356))) (let ((_let_63 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_356))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_62))) (let ((_let_66 (or (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_356) _let_63))) (let ((_let_67 (ho_3 _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_356))) (let ((_let_68 (= _let_67 _let_66))) (let ((_let_69 (not _let_7))) (let ((_let_70 (_let_69))) (let ((_let_71 (not _let_62))) (let ((_let_72 (REFL :args ((not _let_3))))) (let ((_let_73 (and _let_3 _let_71))) (let ((_let_74 (ASSUME :args (_let_71)))) (let ((_let_75 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_328))) (let ((_let_76 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_328))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_75))) (let ((_let_79 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_328))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_80 _let_75))) (let ((_let_82 (ho_3 _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_328))) (let ((_let_83 (not _let_75))) (let ((_let_84 (forall ((Xx tptp.a)) (or (not (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xx)) (ho_3 (ho_6 (ho_5 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) Xx))))) (let ((_let_85 (not _let_84))) (let ((_let_86 (forall ((Xx tptp.a)) (or (not (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xx)) (ho_3 (ho_6 (ho_5 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) Xx))))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_85 _let_83 _let_82))) (let ((_let_89 (forall ((z tptp.a)) (= (ho_3 (ho_6 (ho_5 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) z) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 z))))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_3))) (let ((_let_92 (= _let_82 _let_75))) (let ((_let_93 (_let_8))) (let ((_let_94 (_let_7))) (let ((_let_95 (_let_6))) (let ((_let_96 (_let_14))) (let ((_let_97 (_let_90))) (let ((_let_98 (or _let_76 _let_79))) (let ((_let_99 (= _let_82 _let_98))) (let ((_let_100 (not _let_81))) (let ((_let_101 (not _let_78))) (let ((_let_102 (not _let_82))) (let ((_let_103 (_let_92))) (let ((_let_104 (ho_3 _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_353))) (let ((_let_105 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_353))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_104))) (let ((_let_108 (or (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_353) _let_105))) (let ((_let_109 (= _let_104 _let_108))) (let ((_let_110 (_let_85))) (let ((_let_111 (ho_3 _let_2 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(not _let_121))) (let ((_let_124 (_let_28))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_124)) :args _let_124)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_8))) (REFL :args (_let_123)) :args _let_24)) _let_118 :args (_let_123 true _let_8)))) (let ((_let_126 (or _let_119 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_359)))) (let ((_let_127 (= _let_5 _let_126))) (let ((_let_128 (ASSUME :args (_let_5)))) (let ((_let_129 (ASSUME :args (_let_122)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_128 _let_60 _let_129) :args (_let_3 _let_122 _let_5)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_129)) (CONG (SYMM _let_61) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_359)) :args _let_59) (TRUE_INTRO _let_128))) :args (_let_5 _let_3 _let_122)) :args ((not (and _let_3 _let_122 _let_5)) SB_LITERAL))) (CONG _let_72 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(_let_122 true _let_121)) (MACRO_RESOLUTION_TRUST _let_49 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 0)) :args ((or _let_8 _let_27))) _let_118 :args (_let_27 true _let_8)) _let_26 :args (_let_3 true _let_9 true _let_10)) :args (false false _let_5 true _let_4 false _let_3)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.84/1.11 )
% 0.84/1.11 % SZS output end Proof for SET597^5
% 0.84/1.11 % cvc5---1.0.5 exiting
% 0.84/1.12 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------