TSTP Solution File: SYN364^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN364^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 : Fri Sep 1 02:02:46 EDT 2023
% Result : Theorem 0.22s 0.53s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN364^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n006.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 19:38:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.48 %----Proving TH0
% 0.22/0.53 %------------------------------------------------------------------------------
% 0.22/0.53 % File : SYN364^5 : TPTP v8.1.2. Released v4.0.0.
% 0.22/0.53 % Domain : Syntactic
% 0.22/0.53 % Problem : TPS problem X2115
% 0.22/0.53 % Version : Especial.
% 0.22/0.53 % English :
% 0.22/0.53
% 0.22/0.53 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.22/0.53 % Source : [Bro09]
% 0.22/0.53 % Names : tps_0397 [Bro09]
% 0.22/0.53 % : THM69 [TPS]
% 0.22/0.53 % : X2115 [TPS]
% 0.22/0.53
% 0.22/0.53 % Status : Theorem
% 0.22/0.53 % Rating : 0.18 v8.1.0, 0.25 v7.5.0, 0.17 v7.4.0, 0.22 v7.3.0, 0.20 v7.2.0, 0.25 v7.1.0, 0.29 v7.0.0, 0.25 v6.4.0, 0.29 v6.3.0, 0.33 v6.0.0, 0.17 v5.5.0, 0.00 v5.3.0, 0.25 v5.2.0, 0.00 v4.0.0
% 0.22/0.53 % Syntax : Number of formulae : 6 ( 0 unt; 5 typ; 0 def)
% 0.22/0.53 % Number of atoms : 9 ( 0 equ; 0 cnn)
% 0.22/0.53 % Maximal formula atoms : 9 ( 9 avg)
% 0.22/0.53 % Number of connectives : 27 ( 1 ~; 1 |; 4 &; 18 @)
% 0.22/0.53 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.22/0.53 % Maximal formula depth : 11 ( 11 avg)
% 0.22/0.53 % Number of types : 2 ( 0 usr)
% 0.22/0.53 % Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% 0.22/0.53 % Number of symbols : 5 ( 5 usr; 0 con; 1-2 aty)
% 0.22/0.53 % Number of variables : 8 ( 0 ^; 5 !; 3 ?; 8 :)
% 0.22/0.53 % SPC : TH0_THM_NEQ_NAR
% 0.22/0.53
% 0.22/0.53 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.22/0.53 % project in the Department of Mathematical Sciences at Carnegie
% 0.22/0.53 % Mellon University. Distributed under the Creative Commons copyleft
% 0.22/0.53 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.22/0.53 % :
% 0.22/0.53 %------------------------------------------------------------------------------
% 0.22/0.53 thf(cP,type,
% 0.22/0.53 cP: $i > $i > $o ).
% 0.22/0.53
% 0.22/0.53 thf(g,type,
% 0.22/0.53 g: $i > $i ).
% 0.22/0.53
% 0.22/0.53 thf(cM,type,
% 0.22/0.53 cM: $i > $o ).
% 0.22/0.53
% 0.22/0.53 thf(cQ,type,
% 0.22/0.53 cQ: $i > $o ).
% 0.22/0.53
% 0.22/0.53 thf(f,type,
% 0.22/0.53 f: $i > $i > $i ).
% 0.22/0.53
% 0.22/0.53 thf(cX2115,conjecture,
% 0.22/0.53 ( ( ! [Xx: $i] :
% 0.22/0.53 ( ? [Xy: $i] : ( cP @ Xx @ Xy )
% 0.22/0.53 => ! [Xz: $i] : ( cP @ Xz @ Xz ) )
% 0.22/0.53 & ! [Xu: $i] :
% 0.22/0.53 ? [Xv: $i] :
% 0.22/0.53 ( ( cP @ Xu @ Xv )
% 0.22/0.53 | ( ( cM @ Xu )
% 0.22/0.53 & ( cQ @ ( f @ Xu @ Xv ) ) ) )
% 0.22/0.53 & ! [Xw: $i] :
% 0.22/0.53 ( ( cQ @ Xw )
% 0.22/0.53 => ~ ( cM @ ( g @ Xw ) ) ) )
% 0.22/0.53 => ! [Xu: $i] :
% 0.22/0.53 ? [Xv: $i] :
% 0.22/0.53 ( ( cP @ ( g @ Xu ) @ Xv )
% 0.22/0.53 & ( cP @ Xu @ Xu ) ) ) ).
% 0.22/0.53
% 0.22/0.53 %------------------------------------------------------------------------------
% 0.22/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.eAtYx1gMWK/cvc5---1.0.5_1062.p...
% 0.22/0.53 (declare-sort $$unsorted 0)
% 0.22/0.53 (declare-fun tptp.cP ($$unsorted $$unsorted) Bool)
% 0.22/0.53 (declare-fun tptp.g ($$unsorted) $$unsorted)
% 0.22/0.53 (declare-fun tptp.cM ($$unsorted) Bool)
% 0.22/0.53 (declare-fun tptp.cQ ($$unsorted) Bool)
% 0.22/0.53 (declare-fun tptp.f ($$unsorted $$unsorted) $$unsorted)
% 0.22/0.53 (assert (not (=> (and (forall ((Xx $$unsorted)) (=> (exists ((Xy $$unsorted)) (@ (@ tptp.cP Xx) Xy)) (forall ((Xz $$unsorted)) (@ (@ tptp.cP Xz) Xz)))) (forall ((Xu $$unsorted)) (exists ((Xv $$unsorted)) (or (@ (@ tptp.cP Xu) Xv) (and (@ tptp.cM Xu) (@ tptp.cQ (@ (@ tptp.f Xu) Xv)))))) (forall ((Xw $$unsorted)) (=> (@ tptp.cQ Xw) (not (@ tptp.cM (@ tptp.g Xw)))))) (forall ((Xu $$unsorted)) (exists ((Xv $$unsorted)) (and (@ (@ tptp.cP (@ tptp.g Xu)) Xv) (@ (@ tptp.cP Xu) Xu)))))))
% 0.22/0.53 (set-info :filename cvc5---1.0.5_1062)
% 0.22/0.53 (check-sat-assuming ( true ))
% 0.22/0.53 ------- get file name : TPTP file name is SYN364^5
% 0.22/0.53 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1062.smt2...
% 0.22/0.53 --- Run --ho-elim --full-saturate-quant at 10...
% 0.22/0.53 % SZS status Theorem for SYN364^5
% 0.22/0.53 % SZS output start Proof for SYN364^5
% 0.22/0.53 (
% 0.22/0.53 (let ((_let_1 (not (=> (and (forall ((Xx $$unsorted)) (=> (exists ((Xy $$unsorted)) (@ (@ tptp.cP Xx) Xy)) (forall ((Xz $$unsorted)) (@ (@ tptp.cP Xz) Xz)))) (forall ((Xu $$unsorted)) (exists ((Xv $$unsorted)) (or (@ (@ tptp.cP Xu) Xv) (and (@ tptp.cM Xu) (@ tptp.cQ (@ (@ tptp.f Xu) Xv)))))) (forall ((Xw $$unsorted)) (=> (@ tptp.cQ Xw) (not (@ tptp.cM (@ tptp.g Xw)))))) (forall ((Xu $$unsorted)) (exists ((Xv $$unsorted)) (and (@ (@ tptp.cP (@ tptp.g Xu)) Xv) (@ (@ tptp.cP Xu) Xu)))))))) (let ((_let_2 (forall ((Xx $$unsorted) (Xy $$unsorted)) (not (ho_6 (ho_5 k_4 Xx) Xy))))) (let ((_let_3 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_4 (ho_3 (ho_10 k_9 _let_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_5 (ho_3 k_2 _let_4))) (let ((_let_6 (ho_6 (ho_5 k_4 _let_5) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_7 (forall ((Xz $$unsorted)) (ho_6 (ho_5 k_4 Xz) Xz)))) (let ((_let_8 (forall ((BOUND_VARIABLE_699 $$unsorted)) (ho_6 (ho_5 k_4 BOUND_VARIABLE_699) BOUND_VARIABLE_699)))) (let ((_let_9 (ho_5 k_4 _let_3))) (let ((_let_10 (forall ((BOUND_VARIABLE_705 $$unsorted)) (not (forall ((Xv $$unsorted)) (not (ho_6 (ho_5 k_4 (ho_3 k_2 BOUND_VARIABLE_705)) Xv))))))) (let ((_let_11 (forall ((Xv $$unsorted)) (not (ho_6 (ho_5 k_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) Xv))))) (let ((_let_12 (_let_7))) (let ((_let_13 (0))) (let ((_let_14 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_15 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_16 (forall ((u |u_(-> $$unsorted $$unsorted)|) (e $$unsorted) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_17 (forall ((x |u_(-> $$unsorted $$unsorted)|) (y |u_(-> $$unsorted $$unsorted)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_18 (forall ((u |u_(-> $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_5 v ii) (ite (= i ii) e (ho_5 u ii)))))))))) (let ((_let_19 (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_5 x z) (ho_5 y z)))) (= x y))))) (let ((_let_20 (forall ((u |u_(-> $$unsorted $$unsorted $$unsorted)|) (e |u_(-> $$unsorted $$unsorted)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted $$unsorted)|)) (not (forall ((ii $$unsorted)) (= (ho_10 v ii) (ite (= i ii) e (ho_10 u ii)))))))))) (let ((_let_21 (forall ((x |u_(-> $$unsorted $$unsorted $$unsorted)|) (y |u_(-> $$unsorted $$unsorted $$unsorted)|)) (or (not (forall ((z $$unsorted)) (= (ho_10 x z) (ho_10 y z)))) (= x y))))) (let ((_let_22 (forall ((Xw $$unsorted)) (or (not (ho_6 k_8 Xw)) (not (ho_6 k_7 (ho_3 k_2 Xw))))))) (let ((_let_23 (forall ((Xu $$unsorted)) (or (not (forall ((BOUND_VARIABLE_655 $$unsorted)) (not (ho_6 (ho_5 k_4 Xu) BOUND_VARIABLE_655)))) (and (ho_6 k_7 Xu) (not (forall ((BOUND_VARIABLE_661 $$unsorted)) (not (ho_6 k_8 (ho_3 (ho_10 k_9 Xu) BOUND_VARIABLE_661)))))))))) (let ((_let_24 (not (=> (and (or _let_7 _let_2) _let_23 _let_22) (and _let_8 _let_10))))) (let ((_let_25 (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (=> (and (or (forall ((Xz $$unsorted)) (@ (@ tptp.cP Xz) Xz)) (forall ((Xx $$unsorted) (Xy $$unsorted)) (not (@ (@ tptp.cP Xx) Xy)))) (forall ((Xu $$unsorted)) (or (not (forall ((BOUND_VARIABLE_655 $$unsorted)) (not (@ (@ tptp.cP Xu) BOUND_VARIABLE_655)))) (and (@ tptp.cM Xu) (not (forall ((BOUND_VARIABLE_661 $$unsorted)) (not (@ tptp.cQ (@ (@ tptp.f Xu) BOUND_VARIABLE_661)))))))) (forall ((Xw $$unsorted)) (or (not (@ tptp.cQ Xw)) (not (@ tptp.cM (@ tptp.g Xw)))))) (and (forall ((BOUND_VARIABLE_699 $$unsorted)) (@ (@ tptp.cP BOUND_VARIABLE_699) BOUND_VARIABLE_699)) (forall ((BOUND_VARIABLE_705 $$unsorted)) (not (forall ((Xv $$unsorted)) (not (@ (@ tptp.cP (@ tptp.g BOUND_VARIABLE_705)) Xv)))))))) _let_24))))) (PREPROCESS :args ((and _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14)))) :args ((and _let_24 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14))) :args _let_13))) (let ((_let_26 (or))) (let ((_let_27 (_let_11))) (let ((_let_28 (not _let_10))) (let ((_let_29 (not _let_11))) (let ((_let_30 (not _let_29))) (let ((_let_31 (_let_28))) (let ((_let_32 (NOT_IMPLIES_ELIM1 _let_25))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (REORDERING (AND_ELIM _let_32 :args _let_13) :args ((or _let_2 _let_7))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_27) :args (_let_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_27)) (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_31)) :args _let_31) (REWRITE :args ((=> _let_28 _let_30))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_10))) (REFL :args _let_27) :args _let_26)) (NOT_AND (NOT_IMPLIES_ELIM2 _let_25)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_12) :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_5 k_4 Xz)))) :args _let_12)) (EQUIV_ELIM2 (SYMM (ALPHA_EQUIV :args (_let_7 (= Xz BOUND_VARIABLE_699))))) :args ((not _let_7) false _let_11 true _let_10 false (ho_6 _let_9 _let_3) false _let_8)) :args (_let_2 true _let_7)))) (let ((_let_34 (forall ((BOUND_VARIABLE_655 $$unsorted)) (not (ho_6 (ho_5 k_4 (ho_3 k_2 (ho_3 (ho_10 k_9 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) BOUND_VARIABLE_655))))) (let ((_let_35 (ho_6 k_7 _let_5))) (let ((_let_36 (and _let_35 (not (forall ((BOUND_VARIABLE_661 $$unsorted)) (not (ho_6 k_8 (ho_3 (ho_10 k_9 (ho_3 k_2 (ho_3 (ho_10 k_9 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) BOUND_VARIABLE_661)))))))) (let ((_let_37 (not _let_34))) (let ((_let_38 (or _let_37 _let_36))) (let ((_let_39 (AND_ELIM _let_32 :args (1)))) (let ((_let_40 (_let_23))) (let ((_let_41 ((ho_6 k_7 Xu)))) (let ((_let_42 (ASSUME :args _let_40))) (let ((_let_43 (not _let_36))) (let ((_let_44 (not _let_35))) (let ((_let_45 (ho_6 k_8 _let_4))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_44))) (let ((_let_48 (_let_22))) (let ((_let_49 (forall ((BOUND_VARIABLE_661 $$unsorted)) (not (ho_6 k_8 (ho_3 (ho_10 k_9 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) BOUND_VARIABLE_661)))))) (let ((_let_50 (not _let_49))) (let ((_let_51 (and (ho_6 k_7 _let_3) _let_50))) (let ((_let_52 (forall ((BOUND_VARIABLE_655 $$unsorted)) (not (ho_6 (ho_5 k_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) BOUND_VARIABLE_655))))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51))) (let ((_let_55 (ho_6 _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_56 (not _let_55))) (let ((_let_57 (_let_2))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (_let_29))) (let ((_let_60 (_let_50))) (let ((_let_61 (_let_37))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (_let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_57)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_61)) :args _let_61) (REWRITE :args ((=> _let_37 (not (not _let_6))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_34))) (REFL :args (_let_6)) :args _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_36 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_36 0)) :args ((or _let_35 _let_43))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_44 (not _let_47)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_60)) :args _let_60) (REWRITE :args ((=> _let_50 (not _let_46)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_49))) (REFL :args (_let_45)) :args _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_51 1)) :args ((or _let_50 (not _let_51)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_51 (not _let_54)))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_11 (= Xv BOUND_VARIABLE_655)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_59)) :args _let_59) (REWRITE :args ((=> _let_29 (not _let_56)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= _let_30 _let_11))) (REFL :args (_let_55)) :args _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (_let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_57)) _let_33 :args (_let_56 false _let_2)) :args (_let_11 true _let_55)) :args (_let_52 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_40)) _let_39 :args (_let_54 false _let_23)) :args (_let_51 false _let_52 false _let_54)) :args (_let_50 false _let_51)) :args (_let_45 true _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_48) :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_6 k_8 Xw) false))))) :args _let_48)) (AND_ELIM _let_32 :args (2)) :args (_let_47 false _let_22)) :args (_let_44 false _let_45 false _let_47)) :args (_let_43 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_40)) _let_39 :args (_let_38 false _let_23)) :args (_let_37 true _let_36 false _let_38)) :args (_let_6 true _let_34)) _let_33 :args (false false _let_6 false _let_2)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.54 )
% 0.22/0.54 % SZS output end Proof for SYN364^5
% 0.22/0.54 % cvc5---1.0.5 exiting
% 0.22/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------