TSTP Solution File: SEV001^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV001^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 19:21:16 EDT 2023
% Result : Theorem 4.62s 4.87s
% Output : Proof 4.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV001^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 02:54:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TH0
% 0.20/0.50 %------------------------------------------------------------------------------
% 0.20/0.50 % File : SEV001^5 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.50 % Domain : Set Theory (Relations)
% 0.20/0.50 % Problem : TPS problem DISTRIB-THM
% 0.20/0.50 % Version : Especial.
% 0.20/0.50 % English : In a lattice, join distributes over meet iff meet distributes
% 0.20/0.50 % over join.
% 0.20/0.50
% 0.20/0.50 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.50 % Source : [Bro09]
% 0.20/0.50 % Names : tps_0563 [Bro09]
% 0.20/0.50 % : DISTRIB-THM [TPS]
% 0.20/0.50
% 0.20/0.50 % Status : Theorem
% 0.20/0.50 % Rating : 0.23 v8.1.0, 0.18 v7.5.0, 0.29 v7.4.0, 0.44 v7.3.0, 0.33 v7.2.0, 0.25 v7.1.0, 0.38 v7.0.0, 0.43 v6.4.0, 0.50 v6.3.0, 0.60 v6.2.0, 0.71 v6.1.0, 0.43 v5.5.0, 0.67 v5.4.0, 0.80 v5.0.0, 1.00 v4.0.0
% 0.20/0.50 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.20/0.50 % Number of atoms : 10 ( 10 equ; 0 cnn)
% 0.20/0.50 % Maximal formula atoms : 10 ( 10 avg)
% 0.20/0.50 % Number of connectives : 65 ( 0 ~; 0 |; 7 &; 56 @)
% 0.20/0.50 % ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% 0.20/0.50 % Maximal formula depth : 13 ( 13 avg)
% 0.20/0.50 % Number of types : 1 ( 1 usr)
% 0.20/0.50 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.20/0.50 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.20/0.50 % Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% 0.20/0.50 % SPC : TH0_THM_EQU_NAR
% 0.20/0.50
% 0.20/0.50 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.50 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.50 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.50 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.50 % : Polymorphic definitions expanded.
% 0.20/0.50 %------------------------------------------------------------------------------
% 0.20/0.50 thf(a_type,type,
% 0.20/0.50 a: $tType ).
% 0.20/0.50
% 0.20/0.50 thf(cDISTRIB_THM_pme,conjecture,
% 0.20/0.50 ! [JOIN: a > a > a,MEET: a > a > a] :
% 0.20/0.50 ( ( ! [Xx: a] :
% 0.20/0.50 ( ( JOIN @ Xx @ Xx )
% 0.20/0.50 = Xx )
% 0.20/0.50 & ! [Xx: a] :
% 0.20/0.50 ( ( MEET @ Xx @ Xx )
% 0.20/0.50 = Xx )
% 0.20/0.50 & ! [Xx: a,Xy: a,Xz: a] :
% 0.20/0.50 ( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
% 0.20/0.50 = ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
% 0.20/0.50 & ! [Xx: a,Xy: a,Xz: a] :
% 0.20/0.50 ( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
% 0.20/0.50 = ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
% 0.20/0.50 & ! [Xx: a,Xy: a] :
% 0.20/0.50 ( ( JOIN @ Xx @ Xy )
% 0.20/0.50 = ( JOIN @ Xy @ Xx ) )
% 0.20/0.50 & ! [Xx: a,Xy: a] :
% 0.20/0.50 ( ( MEET @ Xx @ Xy )
% 0.20/0.50 = ( MEET @ Xy @ Xx ) )
% 0.20/0.50 & ! [Xx: a,Xy: a] :
% 0.20/0.50 ( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
% 0.20/0.50 = Xy )
% 0.20/0.50 & ! [Xx: a,Xy: a] :
% 0.20/0.50 ( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
% 0.20/0.50 = Xy ) )
% 0.20/0.50 => ( ! [Xx: a,Xy: a,Xz: a] :
% 0.20/0.50 ( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
% 0.20/0.50 = ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) )
% 0.20/0.50 <=> ! [Xx: a,Xy: a,Xz: a] :
% 0.20/0.50 ( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
% 0.20/0.50 = ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) ) ) ) ).
% 0.20/0.50
% 0.20/0.50 %------------------------------------------------------------------------------
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.mSEWg4miXX/cvc5---1.0.5_14049.p...
% 0.20/0.50 (declare-sort $$unsorted 0)
% 0.20/0.50 (declare-sort tptp.a 0)
% 0.20/0.50 (assert (not (forall ((JOIN (-> tptp.a tptp.a tptp.a)) (MEET (-> tptp.a tptp.a tptp.a))) (=> (and (forall ((Xx tptp.a)) (= (@ (@ JOIN Xx) Xx) Xx)) (forall ((Xx tptp.a)) (= (@ (@ MEET Xx) Xx) Xx)) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ JOIN Xx))) (= (@ (@ JOIN (@ _let_1 Xy)) Xz) (@ _let_1 (@ (@ JOIN Xy) Xz))))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ MEET Xx))) (= (@ (@ MEET (@ _let_1 Xy)) Xz) (@ _let_1 (@ (@ MEET Xy) Xz))))) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ JOIN Xx) Xy) (@ (@ JOIN Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ MEET Xx) Xy) (@ (@ MEET Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ JOIN (@ (@ MEET Xx) Xy)) Xy) Xy)) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ MEET (@ (@ JOIN Xx) Xy)) Xy) Xy))) (= (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ JOIN Xx))) (= (@ _let_1 (@ (@ MEET Xy) Xz)) (@ (@ MEET (@ _let_1 Xy)) (@ _let_1 Xz))))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ MEET Xx))) (= (@ _let_1 (@ (@ JOIN Xy) Xz)) (@ (@ JOIN (@ _let_1 Xy)) (@ _let_1 Xz))))))))))
% 4.62/4.87 (set-info :filename cvc5---1.0.5_14049)
% 4.62/4.87 (check-sat-assuming ( true ))
% 4.62/4.87 ------- get file name : TPTP file name is SEV001^5
% 4.62/4.87 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14049.smt2...
% 4.62/4.87 --- Run --ho-elim --full-saturate-quant at 10...
% 4.62/4.87 % SZS status Theorem for SEV001^5
% 4.62/4.87 % SZS output start Proof for SEV001^5
% 4.62/4.87 (
% 4.62/4.87 (let ((_let_1 (not (forall ((JOIN (-> tptp.a tptp.a tptp.a)) (MEET (-> tptp.a tptp.a tptp.a))) (=> (and (forall ((Xx tptp.a)) (= (@ (@ JOIN Xx) Xx) Xx)) (forall ((Xx tptp.a)) (= (@ (@ MEET Xx) Xx) Xx)) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ JOIN Xx))) (= (@ (@ JOIN (@ _let_1 Xy)) Xz) (@ _let_1 (@ (@ JOIN Xy) Xz))))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ MEET Xx))) (= (@ (@ MEET (@ _let_1 Xy)) Xz) (@ _let_1 (@ (@ MEET Xy) Xz))))) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ JOIN Xx) Xy) (@ (@ JOIN Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ MEET Xx) Xy) (@ (@ MEET Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ JOIN (@ (@ MEET Xx) Xy)) Xy) Xy)) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ MEET (@ (@ JOIN Xx) Xy)) Xy) Xy))) (= (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ JOIN Xx))) (= (@ _let_1 (@ (@ MEET Xy) Xz)) (@ (@ MEET (@ _let_1 Xy)) (@ _let_1 Xz))))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ MEET Xx))) (= (@ _let_1 (@ (@ JOIN Xy) Xz)) (@ (@ JOIN (@ _let_1 Xy)) (@ _let_1 Xz))))))))))) (let ((_let_2 (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xx))) (= (ho_3 _let_1 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xy) Xz)) (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (ho_3 _let_1 Xy)) Xz)))))) (let ((_let_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_4 (ho_3 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_5 (ho_3 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_6 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_7 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_5) _let_4))) (let ((_let_8 (= (ho_3 _let_6 _let_7) (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (ho_3 _let_6 _let_5)) _let_4)))) (let ((_let_9 (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx))) (= (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (ho_3 _let_1 Xy)) (ho_3 _let_1 Xz)) (ho_3 _let_1 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xy) Xz))))))) (let ((_let_10 (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xx))) (= (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (ho_3 _let_1 Xy)) (ho_3 _let_1 Xz)) (ho_3 _let_1 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xy) Xz))))))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (forall ((Xx tptp.a) (Xy tptp.a)) (= Xy (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx) Xy)) Xy))))) (let ((_let_13 (not _let_12))) (let ((_let_14 (forall ((Xx tptp.a) (Xy tptp.a)) (= Xy (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xx) Xy)) Xy))))) (let ((_let_15 (not _let_14))) (let ((_let_16 (forall ((Xx tptp.a) (Xy tptp.a)) (= (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xy) Xx) (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xx) Xy))))) (let ((_let_17 (not _let_16))) (let ((_let_18 (forall ((Xx tptp.a) (Xy tptp.a)) (= (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xy) Xx) (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx) Xy))))) (let ((_let_19 (not _let_18))) (let ((_let_20 (not _let_2))) (let ((_let_21 (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx))) (= (ho_3 _let_1 (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xy) Xz)) (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (ho_3 _let_1 Xy)) Xz)))))) (let ((_let_22 (not _let_21))) (let ((_let_23 (forall ((Xx tptp.a)) (= Xx (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xx) Xx))))) (let ((_let_24 (not _let_23))) (let ((_let_25 (forall ((Xx tptp.a)) (= Xx (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xx) Xx))))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_22 _let_20 _let_19 _let_17 _let_15 _let_13 _let_11))) (let ((_let_28 (forall ((BOUND_VARIABLE_720 |u_(-> tptp.a tptp.a tptp.a)|) (BOUND_VARIABLE_711 |u_(-> tptp.a tptp.a tptp.a)|)) (or (not (forall ((Xx tptp.a)) (= Xx (ho_3 (ho_2 BOUND_VARIABLE_720 Xx) Xx)))) (not (forall ((Xx tptp.a)) (= Xx (ho_3 (ho_2 BOUND_VARIABLE_711 Xx) Xx)))) (not (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_2 BOUND_VARIABLE_720 Xx))) (= (ho_3 _let_1 (ho_3 (ho_2 BOUND_VARIABLE_720 Xy) Xz)) (ho_3 (ho_2 BOUND_VARIABLE_720 (ho_3 _let_1 Xy)) Xz))))) (not (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_2 BOUND_VARIABLE_711 Xx))) (= (ho_3 _let_1 (ho_3 (ho_2 BOUND_VARIABLE_711 Xy) Xz)) (ho_3 (ho_2 BOUND_VARIABLE_711 (ho_3 _let_1 Xy)) Xz))))) (not (forall ((Xx tptp.a) (Xy tptp.a)) (= (ho_3 (ho_2 BOUND_VARIABLE_720 Xy) Xx) (ho_3 (ho_2 BOUND_VARIABLE_720 Xx) Xy)))) (not (forall ((Xx tptp.a) (Xy tptp.a)) (= (ho_3 (ho_2 BOUND_VARIABLE_711 Xy) Xx) (ho_3 (ho_2 BOUND_VARIABLE_711 Xx) Xy)))) (not (forall ((Xx tptp.a) (Xy tptp.a)) (= Xy (ho_3 (ho_2 BOUND_VARIABLE_720 (ho_3 (ho_2 BOUND_VARIABLE_711 Xx) Xy)) Xy)))) (not (forall ((Xx tptp.a) (Xy tptp.a)) (= Xy (ho_3 (ho_2 BOUND_VARIABLE_711 (ho_3 (ho_2 BOUND_VARIABLE_720 Xx) Xy)) Xy)))) (= (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_2 BOUND_VARIABLE_711 Xx))) (= (ho_3 (ho_2 BOUND_VARIABLE_720 (ho_3 _let_1 Xy)) (ho_3 _let_1 Xz)) (ho_3 _let_1 (ho_3 (ho_2 BOUND_VARIABLE_720 Xy) Xz))))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_2 BOUND_VARIABLE_720 Xx))) (= (ho_3 (ho_2 BOUND_VARIABLE_711 (ho_3 _let_1 Xy)) (ho_3 _let_1 Xz)) (ho_3 _let_1 (ho_3 (ho_2 BOUND_VARIABLE_711 Xy) Xz)))))))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (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_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_31 (forall ((x |u_(-> tptp.a tptp.a)|) (y |u_(-> tptp.a tptp.a)|)) (or (not (forall ((z tptp.a)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_32 (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_2 v ii) (ite (= i ii) e (ho_2 u ii)))))))))) (let ((_let_33 (forall ((x |u_(-> tptp.a tptp.a tptp.a)|) (y |u_(-> tptp.a tptp.a tptp.a)|)) (or (not (forall ((z tptp.a)) (= (ho_2 x z) (ho_2 y z)))) (= x y))))) (let ((_let_34 (not _let_28))) (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 ((JOIN (-> tptp.a tptp.a tptp.a)) (MEET (-> tptp.a tptp.a tptp.a))) (or (not (forall ((Xx tptp.a)) (= Xx (@ (@ JOIN Xx) Xx)))) (not (forall ((Xx tptp.a)) (= Xx (@ (@ MEET Xx) Xx)))) (not (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ JOIN Xx))) (= (@ (@ JOIN (@ _let_1 Xy)) Xz) (@ _let_1 (@ (@ JOIN Xy) Xz)))))) (not (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ MEET Xx))) (= (@ (@ MEET (@ _let_1 Xy)) Xz) (@ _let_1 (@ (@ MEET Xy) Xz)))))) (not (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ JOIN Xx) Xy) (@ (@ JOIN Xy) Xx)))) (not (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ (@ MEET Xx) Xy) (@ (@ MEET Xy) Xx)))) (not (forall ((Xx tptp.a) (Xy tptp.a)) (= Xy (@ (@ JOIN (@ (@ MEET Xx) Xy)) Xy)))) (not (forall ((Xx tptp.a) (Xy tptp.a)) (= Xy (@ (@ MEET (@ (@ JOIN Xx) Xy)) Xy)))) (= (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ JOIN Xx))) (= (@ _let_1 (@ (@ MEET Xy) Xz)) (@ (@ MEET (@ _let_1 Xy)) (@ _let_1 Xz))))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ MEET Xx))) (= (@ _let_1 (@ (@ JOIN Xy) Xz)) (@ (@ JOIN (@ _let_1 Xy)) (@ _let_1 Xz))))))))) _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_28))) (REFL :args (_let_29)) :args _let_36)) (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO _let_35 (PREPROCESS :args ((and _let_33 _let_32 _let_31 _let_30)))) :args ((and _let_34 _let_33 _let_32 _let_31 _let_30))) :args (0)) :args (_let_29 true _let_28)))) (let ((_let_38 (REFL :args (_let_27)))) (let ((_let_39 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_40 (= _let_5 (ho_3 _let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)))) (let ((_let_41 (ho_3 _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_42 (ho_3 _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_43 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_42))) (let ((_let_44 (ho_3 _let_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_45 (= (ho_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_44) (ho_3 _let_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (ho_3 _let_43 _let_41)))) (let ((_let_46 (ho_3 _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_47 (ho_3 _let_3 _let_46))) (let ((_let_48 (= _let_47 _let_7))) (let ((_let_49 (ho_2 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_let_60 false _let_58 false _let_56 false _let_55 false _let_53 false _let_51 false _let_48 false _let_45 false _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 3)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_2))) :args _let_36)) :args ((or _let_2 _let_27))) _let_37 :args (_let_2 true _let_27)) :args (false true _let_8 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 4.62/4.88 )
% 4.62/4.88 % SZS output end Proof for SEV001^5
% 4.62/4.88 % cvc5---1.0.5 exiting
% 4.62/4.88 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------