TSTP Solution File: ALG001^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ALG001^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 16:07:48 EDT 2023
% Result : Theorem 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ALG001^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n031.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 : Mon Aug 28 05:18:39 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TH0
% 0.20/0.53 %------------------------------------------------------------------------------
% 0.20/0.53 % File : ALG001^5 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.53 % Domain : General Algebra
% 0.20/0.53 % Problem : TPS problem THM133
% 0.20/0.53 % Version : Especial.
% 0.20/0.53 % English : The composition of homomorphisms of binary operators is a
% 0.20/0.53 % homomorphisms. Boyer et al JAR 2 page 284.
% 0.20/0.53
% 0.20/0.53 % Refs : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% 0.20/0.53 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.53 % Source : [Bro09]
% 0.20/0.53 % Names : tps_0365 [Bro09]
% 0.20/0.53 % : THM133 [TPS]
% 0.20/0.53 % : Problem 221-223 [BL+86]
% 0.20/0.53
% 0.20/0.53 % Status : Theorem
% 0.20/0.53 % Rating : 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.2.0, 0.00 v4.0.0
% 0.20/0.53 % Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% 0.20/0.53 % Number of atoms : 3 ( 3 equ; 0 cnn)
% 0.20/0.53 % Maximal formula atoms : 3 ( 3 avg)
% 0.20/0.53 % Number of connectives : 26 ( 0 ~; 0 |; 1 &; 24 @)
% 0.20/0.53 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.20/0.53 % Maximal formula depth : 10 ( 10 avg)
% 0.20/0.53 % Number of types : 3 ( 3 usr)
% 0.20/0.53 % Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% 0.20/0.53 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.20/0.53 % Number of variables : 11 ( 0 ^; 11 !; 0 ?; 11 :)
% 0.20/0.53 % SPC : TH0_THM_EQU_NAR
% 0.20/0.53
% 0.20/0.53 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.53 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.53 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.53 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.53 % : Polymorphic definitions expanded.
% 0.20/0.53 %------------------------------------------------------------------------------
% 0.20/0.53 thf(g_type,type,
% 0.20/0.53 g: $tType ).
% 0.20/0.53
% 0.20/0.53 thf(b_type,type,
% 0.20/0.53 b: $tType ).
% 0.20/0.53
% 0.20/0.53 thf(a_type,type,
% 0.20/0.53 a: $tType ).
% 0.20/0.53
% 0.20/0.53 thf(cTHM133_pme,conjecture,
% 0.20/0.53 ! [Xh1: g > b,Xh2: b > a,Xf1: g > g > g,Xf2: b > b > b,Xf3: a > a > a] :
% 0.20/0.53 ( ( ! [Xx: g,Xy: g] :
% 0.20/0.53 ( ( Xh1 @ ( Xf1 @ Xx @ Xy ) )
% 0.20/0.53 = ( Xf2 @ ( Xh1 @ Xx ) @ ( Xh1 @ Xy ) ) )
% 0.20/0.53 & ! [Xx: b,Xy: b] :
% 0.20/0.53 ( ( Xh2 @ ( Xf2 @ Xx @ Xy ) )
% 0.20/0.53 = ( Xf3 @ ( Xh2 @ Xx ) @ ( Xh2 @ Xy ) ) ) )
% 0.20/0.53 => ! [Xx: g,Xy: g] :
% 0.20/0.53 ( ( Xh2 @ ( Xh1 @ ( Xf1 @ Xx @ Xy ) ) )
% 0.20/0.53 = ( Xf3 @ ( Xh2 @ ( Xh1 @ Xx ) ) @ ( Xh2 @ ( Xh1 @ Xy ) ) ) ) ) ).
% 0.20/0.53
% 0.20/0.53 %------------------------------------------------------------------------------
% 0.20/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.xLwGbBy1ZX/cvc5---1.0.5_11227.p...
% 0.20/0.53 (declare-sort $$unsorted 0)
% 0.20/0.53 (declare-sort tptp.g 0)
% 0.20/0.53 (declare-sort tptp.b 0)
% 0.20/0.53 (declare-sort tptp.a 0)
% 0.20/0.53 (assert (not (forall ((Xh1 (-> tptp.g tptp.b)) (Xh2 (-> tptp.b tptp.a)) (Xf1 (-> tptp.g tptp.g tptp.g)) (Xf2 (-> tptp.b tptp.b tptp.b)) (Xf3 (-> tptp.a tptp.a tptp.a))) (=> (and (forall ((Xx tptp.g) (Xy tptp.g)) (= (@ Xh1 (@ (@ Xf1 Xx) Xy)) (@ (@ Xf2 (@ Xh1 Xx)) (@ Xh1 Xy)))) (forall ((Xx tptp.b) (Xy tptp.b)) (= (@ Xh2 (@ (@ Xf2 Xx) Xy)) (@ (@ Xf3 (@ Xh2 Xx)) (@ Xh2 Xy))))) (forall ((Xx tptp.g) (Xy tptp.g)) (= (@ Xh2 (@ Xh1 (@ (@ Xf1 Xx) Xy))) (@ (@ Xf3 (@ Xh2 (@ Xh1 Xx))) (@ Xh2 (@ Xh1 Xy)))))))))
% 0.20/0.53 (set-info :filename cvc5---1.0.5_11227)
% 0.20/0.53 (check-sat-assuming ( true ))
% 0.20/0.53 ------- get file name : TPTP file name is ALG001^5
% 0.20/0.53 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11227.smt2...
% 0.20/0.53 --- Run --ho-elim --full-saturate-quant at 10...
% 0.20/0.53 % SZS status Theorem for ALG001^5
% 0.20/0.53 % SZS output start Proof for ALG001^5
% 0.20/0.53 (
% 0.20/0.53 (let ((_let_1 (not (forall ((Xh1 (-> tptp.g tptp.b)) (Xh2 (-> tptp.b tptp.a)) (Xf1 (-> tptp.g tptp.g tptp.g)) (Xf2 (-> tptp.b tptp.b tptp.b)) (Xf3 (-> tptp.a tptp.a tptp.a))) (=> (and (forall ((Xx tptp.g) (Xy tptp.g)) (= (@ Xh1 (@ (@ Xf1 Xx) Xy)) (@ (@ Xf2 (@ Xh1 Xx)) (@ Xh1 Xy)))) (forall ((Xx tptp.b) (Xy tptp.b)) (= (@ Xh2 (@ (@ Xf2 Xx) Xy)) (@ (@ Xf3 (@ Xh2 Xx)) (@ Xh2 Xy))))) (forall ((Xx tptp.g) (Xy tptp.g)) (= (@ Xh2 (@ Xh1 (@ (@ Xf1 Xx) Xy))) (@ (@ Xf3 (@ Xh2 (@ Xh1 Xx))) (@ Xh2 (@ Xh1 Xy)))))))))) (let ((_let_2 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 (ho_7 (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)))) (let ((_let_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_4 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_5 (ho_5 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_4)) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_3)))) (let ((_let_6 (= _let_5 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_2)))) (let ((_let_7 (ho_9 (ho_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 _let_4) _let_3))) (let ((_let_8 (= _let_2 _let_7))) (let ((_let_9 (= _let_5 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_7)))) (let ((_let_10 (forall ((Xx tptp.b) (Xy tptp.b)) (= (ho_5 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 Xx)) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 Xy)) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 (ho_9 (ho_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 Xx) Xy)))))) (let ((_let_11 (not _let_10))) (let ((_let_12 (forall ((Xx tptp.g) (Xy tptp.g)) (= (ho_9 (ho_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Xx)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Xy)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 (ho_7 (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 Xx) Xy)))))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11 _let_6))) (let ((_let_15 (not _let_6))) (let ((_let_16 (forall ((BOUND_VARIABLE_659 |u_(-> tptp.g tptp.b)|) (BOUND_VARIABLE_664 |u_(-> tptp.b tptp.a)|) (BOUND_VARIABLE_680 |u_(-> tptp.g tptp.g tptp.g)|) (BOUND_VARIABLE_696 |u_(-> tptp.b tptp.b tptp.b)|) (BOUND_VARIABLE_671 |u_(-> tptp.a tptp.a tptp.a)|) (BOUND_VARIABLE_641 tptp.g) (BOUND_VARIABLE_639 tptp.g)) (or (not (forall ((Xx tptp.g) (Xy tptp.g)) (= (ho_9 (ho_8 BOUND_VARIABLE_696 (ho_2 BOUND_VARIABLE_659 Xx)) (ho_2 BOUND_VARIABLE_659 Xy)) (ho_2 BOUND_VARIABLE_659 (ho_7 (ho_6 BOUND_VARIABLE_680 Xx) Xy))))) (not (forall ((Xx tptp.b) (Xy tptp.b)) (= (ho_5 (ho_4 BOUND_VARIABLE_671 (ho_3 BOUND_VARIABLE_664 Xx)) (ho_3 BOUND_VARIABLE_664 Xy)) (ho_3 BOUND_VARIABLE_664 (ho_9 (ho_8 BOUND_VARIABLE_696 Xx) Xy))))) (= (ho_5 (ho_4 BOUND_VARIABLE_671 (ho_3 BOUND_VARIABLE_664 (ho_2 BOUND_VARIABLE_659 BOUND_VARIABLE_639))) (ho_3 BOUND_VARIABLE_664 (ho_2 BOUND_VARIABLE_659 BOUND_VARIABLE_641))) (ho_3 BOUND_VARIABLE_664 (ho_2 BOUND_VARIABLE_659 (ho_7 (ho_6 BOUND_VARIABLE_680 BOUND_VARIABLE_639) BOUND_VARIABLE_641)))))))) (let ((_let_17 (not _let_14))) (let ((_let_18 (forall ((u |u_(-> tptp.g tptp.b)|) (e tptp.b) (i tptp.g)) (not (forall ((v |u_(-> tptp.g tptp.b)|)) (not (forall ((ii tptp.g)) (= (ho_2 v ii) (ite (= i ii) e (ho_2 u ii)))))))))) (let ((_let_19 (forall ((x |u_(-> tptp.g tptp.b)|) (y |u_(-> tptp.g tptp.b)|)) (or (not (forall ((z tptp.g)) (= (ho_2 x z) (ho_2 y z)))) (= x y))))) (let ((_let_20 (forall ((u |u_(-> tptp.b tptp.a)|) (e tptp.a) (i tptp.b)) (not (forall ((v |u_(-> tptp.b tptp.a)|)) (not (forall ((ii tptp.b)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_21 (forall ((x |u_(-> tptp.b tptp.a)|) (y |u_(-> tptp.b tptp.a)|)) (or (not (forall ((z tptp.b)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_22 (forall ((u |u_(-> tptp.a tptp.a)|) (e tptp.a) (i tptp.a)) (not (forall ((v |u_(-> tptp.a tptp.a)|)) (not (forall ((ii tptp.a)) (= (ho_5 v ii) (ite (= i ii) e (ho_5 u ii)))))))))) (let ((_let_23 (forall ((x |u_(-> tptp.a tptp.a)|) (y |u_(-> tptp.a tptp.a)|)) (or (not (forall ((z tptp.a)) (= (ho_5 x z) (ho_5 y z)))) (= x y))))) (let ((_let_24 (forall ((u |u_(-> tptp.b tptp.b)|) (e tptp.b) (i tptp.b)) (not (forall ((v |u_(-> tptp.b tptp.b)|)) (not (forall ((ii tptp.b)) (= (ho_9 v ii) (ite (= i ii) e (ho_9 u ii)))))))))) (let ((_let_25 (forall ((x |u_(-> tptp.b tptp.b)|) (y |u_(-> tptp.b tptp.b)|)) (or (not (forall ((z tptp.b)) (= (ho_9 x z) (ho_9 y z)))) (= x y))))) (let ((_let_26 (forall ((u |u_(-> tptp.a tptp.a tptp.a)|) (e |u_(-> tptp.a tptp.a)|) (i tptp.a)) (not (forall ((v |u_(-> tptp.a tptp.a tptp.a)|)) (not (forall ((ii tptp.a)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_27 (forall ((x |u_(-> tptp.a tptp.a tptp.a)|) (y |u_(-> tptp.a tptp.a tptp.a)|)) (or (not (forall ((z tptp.a)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_28 (forall ((u |u_(-> tptp.g tptp.g)|) (e tptp.g) (i tptp.g)) (not (forall ((v |u_(-> tptp.g tptp.g)|)) (not (forall ((ii tptp.g)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii)))))))))) (let ((_let_29 (forall ((x |u_(-> tptp.g tptp.g)|) (y |u_(-> tptp.g tptp.g)|)) (or (not (forall ((z tptp.g)) (= (ho_7 x z) (ho_7 y z)))) (= x y))))) (let ((_let_30 (forall ((u |u_(-> tptp.b tptp.b tptp.b)|) (e |u_(-> tptp.b tptp.b)|) (i tptp.b)) (not (forall ((v |u_(-> tptp.b tptp.b tptp.b)|)) (not (forall ((ii tptp.b)) (= (ho_8 v ii) (ite (= i ii) e (ho_8 u ii)))))))))) (let ((_let_31 (forall ((x |u_(-> tptp.b tptp.b tptp.b)|) (y |u_(-> tptp.b tptp.b tptp.b)|)) (or (not (forall ((z tptp.b)) (= (ho_8 x z) (ho_8 y z)))) (= x y))))) (let ((_let_32 (forall ((u |u_(-> tptp.g tptp.g tptp.g)|) (e |u_(-> tptp.g tptp.g)|) (i tptp.g)) (not (forall ((v |u_(-> tptp.g tptp.g tptp.g)|)) (not (forall ((ii tptp.g)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_33 (forall ((x |u_(-> tptp.g tptp.g tptp.g)|) (y |u_(-> tptp.g tptp.g tptp.g)|)) (or (not (forall ((z tptp.g)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_34 (not _let_16))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((Xh1 (-> tptp.g tptp.b)) (Xh2 (-> tptp.b tptp.a)) (Xf1 (-> tptp.g tptp.g tptp.g)) (Xf2 (-> tptp.b tptp.b tptp.b)) (Xf3 (-> tptp.a tptp.a tptp.a)) (BOUND_VARIABLE_641 tptp.g) (BOUND_VARIABLE_639 tptp.g)) (or (not (forall ((Xx tptp.g) (Xy tptp.g)) (= (@ Xh1 (@ (@ Xf1 Xx) Xy)) (@ (@ Xf2 (@ Xh1 Xx)) (@ Xh1 Xy))))) (not (forall ((Xx tptp.b) (Xy tptp.b)) (= (@ Xh2 (@ (@ Xf2 Xx) Xy)) (@ (@ Xf3 (@ Xh2 Xx)) (@ Xh2 Xy))))) (= (@ Xh2 (@ Xh1 (@ (@ Xf1 BOUND_VARIABLE_639) BOUND_VARIABLE_641))) (@ (@ Xf3 (@ Xh2 (@ Xh1 BOUND_VARIABLE_639))) (@ Xh2 (@ Xh1 BOUND_VARIABLE_641))))))) _let_34))))))) (let ((_let_36 (or))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_35) :args (_let_34))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_16))) (REFL :args (_let_17)) :args _let_36)) (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO _let_35 (PREPROCESS :args ((and _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18)))) :args ((and _let_34 _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18))) :args (0)) :args (_let_17 true _let_16)))) (let ((_let_38 (REFL :args (_let_14)))) (let ((_let_39 (_let_12))) (let ((_let_40 (_let_10))) (let ((_let_41 (and _let_15 _let_8))) (let ((_let_42 (_let_15 _let_8))) (let ((_let_43 (ASSUME :args (_let_15)))) (let ((_let_44 (ASSUME :args (_let_8)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_41)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_43 _let_44) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_5)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (SYMM _let_44) :args (APPLY_UF ho_3)) :args (=)) (FALSE_INTRO _let_43))) :args _let_42)) :args _let_42)) :args (true _let_41)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_6))) (REFL :args ((not _let_8))) (REFL :args ((not _let_9))) :args _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_40) :args (_let_4 _let_3 QUANTIFIERS_INST_E_MATCHING ((ho_5 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 Xx)) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 Xy))))) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 1)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_36)) :args ((or _let_10 _let_14))) _let_37 :args (_let_10 true _let_14)) :args (_let_9 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_39) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING ((ho_7 (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 Xx) Xy)))) :args _let_39))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 0)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_36)) :args ((or _let_12 _let_14))) _let_37 :args (_let_12 true _let_14)) :args (_let_8 false _let_12)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_14 2)) _let_37 :args (_let_15 true _let_14)) :args (false false _let_9 false _let_8 true _let_6)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for ALG001^5
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------