TSTP Solution File: SET582^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET582^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 14:39:11 EDT 2023
% Result : Theorem 0.20s 0.75s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET582^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n010.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 10:33:05 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TH0
% 0.20/0.75 %------------------------------------------------------------------------------
% 0.20/0.75 % File : SET582^5 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.75 % Domain : Set Theory
% 0.20/0.75 % Problem : TPS problem BOOL-PROP-25
% 0.20/0.75 % Version : Especial.
% 0.20/0.75 % English : Trybulec's 25th Boolean property of sets
% 0.20/0.75
% 0.20/0.75 % Refs : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of
% 0.20/0.75 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.75 % Source : [Bro09]
% 0.20/0.75 % Names : tps_0255 [Bro09]
% 0.20/0.75 % : BOOL-PROP-25 [TPS]
% 0.20/0.75
% 0.20/0.75 % Status : Theorem
% 0.20/0.75 % Rating : 0.15 v8.1.0, 0.09 v7.5.0, 0.14 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 0.25 v7.0.0, 0.29 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.14 v6.1.0, 0.29 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.2.0, 0.20 v4.1.0, 0.00 v4.0.1, 0.33 v4.0.0
% 0.20/0.75 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.20/0.75 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 0.20/0.75 % Maximal formula atoms : 1 ( 1 avg)
% 0.20/0.75 % Number of connectives : 16 ( 3 ~; 1 |; 2 &; 7 @)
% 0.20/0.75 % ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% 0.20/0.75 % Maximal formula depth : 10 ( 10 avg)
% 0.20/0.75 % Number of types : 2 ( 1 usr)
% 0.20/0.75 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 0.20/0.75 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.20/0.75 % Number of variables : 5 ( 1 ^; 4 !; 0 ?; 5 :)
% 0.20/0.75 % SPC : TH0_THM_EQU_NAR
% 0.20/0.75
% 0.20/0.75 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.75 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.75 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.75 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.75 % : Polymorphic definitions expanded.
% 0.20/0.75 % :
% 0.20/0.75 %------------------------------------------------------------------------------
% 0.20/0.75 thf(a_type,type,
% 0.20/0.75 a: $tType ).
% 0.20/0.75
% 0.20/0.75 thf(cBOOL_PROP_25_pme,conjecture,
% 0.20/0.75 ! [X: a > $o,Y: a > $o,Z: a > $o] :
% 0.20/0.75 ( ! [Xx: a] :
% 0.20/0.75 ( ( ~ ( X @ Xx )
% 0.20/0.75 <=> ( Y @ Xx ) )
% 0.20/0.75 <=> ( Z @ Xx ) )
% 0.20/0.75 => ( X
% 0.20/0.75 = ( ^ [Xz: a] :
% 0.20/0.75 ( ( ( Y @ Xz )
% 0.20/0.75 & ~ ( Z @ Xz ) )
% 0.20/0.75 | ( ( Z @ Xz )
% 0.20/0.75 & ~ ( Y @ Xz ) ) ) ) ) ) ).
% 0.20/0.75
% 0.20/0.75 %------------------------------------------------------------------------------
% 0.20/0.75 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.b1RdBuXitI/cvc5---1.0.5_3032.p...
% 0.20/0.75 (declare-sort $$unsorted 0)
% 0.20/0.75 (declare-sort tptp.a 0)
% 0.20/0.75 (assert (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool))) (=> (forall ((Xx tptp.a)) (= (= (not (@ X Xx)) (@ Y Xx)) (@ Z Xx))) (= X (lambda ((Xz tptp.a)) (let ((_let_1 (@ Y Xz))) (let ((_let_2 (@ Z Xz))) (or (and _let_1 (not _let_2)) (and _let_2 (not _let_1)))))))))))
% 0.20/0.75 (set-info :filename cvc5---1.0.5_3032)
% 0.20/0.75 (check-sat-assuming ( true ))
% 0.20/0.75 ------- get file name : TPTP file name is SET582^5
% 0.20/0.75 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_3032.smt2...
% 0.20/0.75 --- Run --ho-elim --full-saturate-quant at 10...
% 0.20/0.75 % SZS status Theorem for SET582^5
% 0.20/0.75 % SZS output start Proof for SET582^5
% 0.20/0.75 (
% 0.20/0.75 (let ((_let_1 (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool))) (=> (forall ((Xx tptp.a)) (= (= (not (@ X Xx)) (@ Y Xx)) (@ Z Xx))) (= X (lambda ((Xz tptp.a)) (let ((_let_1 (@ Y Xz))) (let ((_let_2 (@ Z Xz))) (or (and _let_1 (not _let_2)) (and _let_2 (not _let_1)))))))))))) (let ((_let_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_283))) (let ((_let_3 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_283))) (let ((_let_4 (not _let_3))) (let ((_let_5 (= _let_4 _let_2))) (let ((_let_6 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_283))) (let ((_let_7 (= _let_6 _let_5))) (let ((_let_8 (forall ((Xx tptp.a)) (= (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xx) (= (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xx) (not (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Xx))))))) (let ((_let_9 (ho_6 (ho_5 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_9))) (let ((_let_11 (not _let_8))) (let ((_let_12 (or _let_11 _let_10))) (let ((_let_13 (forall ((BOUND_VARIABLE_677 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_673 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_674 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xx tptp.a)) (= (ho_3 BOUND_VARIABLE_674 Xx) (= (ho_3 BOUND_VARIABLE_673 Xx) (not (ho_3 BOUND_VARIABLE_677 Xx)))))) (= (ho_6 (ho_5 k_4 BOUND_VARIABLE_674) BOUND_VARIABLE_673) BOUND_VARIABLE_677))))) (let ((_let_14 (not _let_12))) (let ((_let_15 (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_16 (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_17 (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_18 (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_19 (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_20 (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_21 (forall ((BOUND_VARIABLE_651 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_648 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_629 tptp.a)) (let ((_let_1 (ho_3 BOUND_VARIABLE_648 BOUND_VARIABLE_629))) (let ((_let_2 (ho_3 BOUND_VARIABLE_651 BOUND_VARIABLE_629))) (= (ho_3 (ho_6 (ho_5 k_4 BOUND_VARIABLE_651) BOUND_VARIABLE_648) BOUND_VARIABLE_629) (or (and _let_1 (not _let_2)) (and _let_2 (not _let_1))))))))) (let ((_let_22 (not _let_13))) (let ((_let_23 (forall ((BOUND_VARIABLE_627 (-> tptp.a Bool)) (BOUND_VARIABLE_628 (-> tptp.a Bool)) (BOUND_VARIABLE_629 tptp.a)) (let ((_let_1 (@ BOUND_VARIABLE_628 BOUND_VARIABLE_629))) (let ((_let_2 (@ BOUND_VARIABLE_627 BOUND_VARIABLE_629))) (= (or (and _let_1 (not _let_2)) (and _let_2 (not _let_1))) (ll_2 BOUND_VARIABLE_627 BOUND_VARIABLE_628 BOUND_VARIABLE_629))))))) (let ((_let_24 (not (forall ((X (-> tptp.a Bool)) (Y (-> tptp.a Bool)) (Z (-> tptp.a Bool))) (or (not (forall ((Xx tptp.a)) (= (= (not (@ X Xx)) (@ Y Xx)) (@ Z Xx)))) (= X (@ (@ ll_2 Z) Y))))))) (let ((_let_25 (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))) (or (not (forall ((Xx tptp.a)) (= (= (not (@ X Xx)) (@ Y Xx)) (@ Z Xx)))) (= X (lambda ((Xz tptp.a)) (let ((_let_1 (@ Y Xz))) (let ((_let_2 (@ Z Xz))) (or (and _let_1 (not _let_2)) (and _let_2 (not _let_1)))))))))) _let_24))))) (PREPROCESS :args (_let_23))) (PREPROCESS :args ((= (and _let_24 _let_23) (and _let_22 _let_21))))) (PREPROCESS :args ((and _let_20 _let_19 _let_18 _let_17 _let_16 _let_15)))) :args ((and _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15))))) (let ((_let_26 (or))) (let ((_let_27 (_let_22))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_27)) :args _let_27) (REWRITE :args ((=> _let_22 (not (or _let_11 (= _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_13))) (REFL :args (_let_14)) :args _let_26)) (AND_ELIM _let_25 :args (0)) :args (_let_14 true _let_13)))) (let ((_let_29 (_let_8))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_29) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_283 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Xx)))) :args _let_29))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_12 0)) (CONG (REFL :args (_let_12)) (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_8))) :args _let_26)) :args ((or _let_8 _let_12))) _let_28 :args (_let_8 true _let_12)) :args (_let_7 false _let_8)))) (let ((_let_31 (not _let_2))) (let ((_let_32 (and _let_6 _let_31))) (let ((_let_33 (not _let_6))) (let ((_let_34 (and _let_2 _let_33))) (let ((_let_35 (or _let_34 _let_32))) (let ((_let_36 (not _let_32))) (let ((_let_37 (ho_3 _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_283))) (let ((_let_38 (= _let_37 _let_35))) (let ((_let_39 (not _let_35))) (let ((_let_40 (_let_21))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_40) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_283 QUANTIFIERS_INST_E_MATCHING ((ho_3 (ho_6 (ho_5 k_4 BOUND_VARIABLE_651) BOUND_VARIABLE_648) BOUND_VARIABLE_629)))) :args _let_40)) (AND_ELIM _let_25 :args (1)) :args (_let_38 false _let_21)))) (let ((_let_42 (= _let_37 _let_3))) (let ((_let_43 (not _let_37))) (let ((_let_44 (forall ((z tptp.a)) (= (ho_3 (ho_6 (ho_5 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) z) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 z))))) (let ((_let_45 (not _let_42))) (let ((_let_46 (not _let_44))) (let ((_let_47 (or _let_46 _let_10))) (let ((_let_48 (_let_16))) (let ((_let_49 (_let_46))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_49)) :args _let_49)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_44))) (REFL :args (_let_45)) :args _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_10 _let_46 (not _let_47)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_12 1)) _let_28 :args ((not _let_10) true _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_48) :args (_let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_ENUM)) :args _let_48))) (AND_ELIM _let_25 :args (6)) :args (_let_47 false _let_16)) :args (_let_46 true _let_10 false _let_47)) :args (_let_45 true _let_44)))) (let ((_let_51 (_let_42))) (let ((_let_52 (not _let_38))) (let ((_let_53 (_let_38))) (let ((_let_54 (not _let_34))) (let ((_let_55 (not _let_5))) (let ((_let_56 (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))))) (let ((_let_57 (_let_5))) (let ((_let_58 (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_32 _let_39))))) (let ((_let_59 (not _let_7))) (let ((_let_60 (_let_7))) (let ((_let_61 (REORDERING (CNF_EQUIV_POS1 :args _let_60) :args ((or _let_33 _let_5 _let_59))))) (let ((_let_62 (REFL :args (_let_31)))) (let ((_let_63 (REORDERING (CNF_EQUIV_POS2 :args _let_60) :args ((or _let_6 _let_55 _let_59))))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_34 1)) :args ((or _let_33 _let_54))) _let_63 _let_30 _let_58 (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_57) (CONG (REFL :args _let_57) _let_56 _let_62 :args _let_26)) :args ((or _let_3 _let_31 _let_5))) (REORDERING (CNF_AND_POS :args (_let_32 1)) :args ((or _let_31 _let_36))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_32 0)) :args ((or _let_6 _let_36))) _let_61 _let_30 _let_58 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS1 :args _let_57) (CONG (REFL :args (_let_55)) _let_56 (REFL :args (_let_2)) :args _let_26)) :args ((or _let_3 _let_2 _let_55))) (REORDERING (CNF_AND_POS :args (_let_34 0)) :args ((or _let_2 _let_54))) :args ((or _let_3 _let_2 _let_39) true _let_6 false _let_7 false _let_32 true _let_5 true _let_34)) (REORDERING (CNF_EQUIV_POS1 :args _let_53) :args ((or _let_43 _let_35 _let_52))) _let_41 (CNF_EQUIV_NEG2 :args _let_51) _let_50 :args (_let_43 false _let_6 false _let_7 false _let_34 false _let_5 true _let_32 false _let_2 false _let_35 false _let_38 true _let_3 true _let_42)))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_53) :args ((or _let_37 _let_39 _let_52))) _let_64 _let_41 :args (_let_39 true _let_37 false _let_38)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_51) :args ((or _let_37 _let_3 _let_42))) _let_64 _let_50 :args (_let_3 true _let_37 true _let_42)))) (let ((_let_67 (_let_34))) (let ((_let_68 (MACRO_RESOLUTION_TRUST _let_61 _let_30 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_67) (CONG (REFL :args _let_67) _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_6))) :args _let_26)) :args ((or _let_6 _let_34 _let_31))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_35 0)) _let_65 :args (_let_54 true _let_35)) (REORDERING (CNF_EQUIV_POS2 :args _let_57) :args ((or _let_4 _let_31 _let_55))) _let_66 :args (_let_31 false _let_7 false _let_6 true _let_34 true _let_5 false _let_3)))) (let ((_let_69 (_let_32))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_57) :args ((or _let_4 _let_2 _let_5))) _let_66 _let_68 :args (_let_5 false _let_3 true _let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_69) (CONG (REFL :args _let_69) (REFL :args (_let_33)) (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_2))) :args _let_26)) :args ((or _let_2 _let_33 _let_32))) _let_68 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_35 1)) _let_65 :args (_let_36 true _let_35)) :args (_let_33 true _let_2 true _let_32)) _let_30 :args (false false _let_5 true _let_6 false _let_7)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.75 )
% 0.20/0.75 % SZS output end Proof for SET582^5
% 0.20/0.75 % cvc5---1.0.5 exiting
% 0.20/0.75 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------