TSTP Solution File: SEV040^5 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV040^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 19:21:24 EDT 2023
% Result : Theorem 10.43s 10.73s
% Output : Proof 10.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV040^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n021.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 02:04:09 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.21/0.48 %----Proving TH0
% 0.21/0.49 %------------------------------------------------------------------------------
% 0.21/0.49 % File : SEV040^5 : TPTP v8.1.2. Released v4.0.0.
% 0.21/0.49 % Domain : Set Theory (Relations)
% 0.21/0.49 % Problem : TPS problem from EQUIVALENCE-RELATIONS-THMS
% 0.21/0.49 % Version : Especial.
% 0.21/0.49 % English :
% 0.21/0.49
% 0.21/0.49 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.21/0.49 % Source : [Bro09]
% 0.21/0.49 % Names : tps_1214 [Bro09]
% 0.21/0.49
% 0.21/0.49 % Status : Theorem
% 0.21/0.49 % Rating : 0.08 v8.1.0, 0.18 v7.5.0, 0.00 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 0.25 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.29 v5.5.0, 0.33 v5.4.0, 0.40 v5.1.0, 0.60 v4.1.0, 0.33 v4.0.1, 1.00 v4.0.0
% 0.21/0.49 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.21/0.49 % Number of atoms : 8 ( 8 equ; 0 cnn)
% 0.21/0.49 % Maximal formula atoms : 6 ( 8 avg)
% 0.21/0.49 % Number of connectives : 110 ( 0 ~; 0 |; 24 &; 70 @)
% 0.21/0.49 % ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% 0.21/0.49 % Maximal formula depth : 19 ( 19 avg)
% 0.21/0.49 % Number of types : 2 ( 1 usr)
% 0.21/0.49 % Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% 0.21/0.49 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.21/0.49 % Number of variables : 44 ( 4 ^; 40 !; 0 ?; 44 :)
% 0.21/0.49 % SPC : TH0_THM_EQU_NAR
% 0.21/0.49
% 0.21/0.49 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.21/0.49 % project in the Department of Mathematical Sciences at Carnegie
% 0.21/0.49 % Mellon University. Distributed under the Creative Commons copyleft
% 0.21/0.49 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.21/0.49 % : May require description or choice.
% 0.21/0.49 %------------------------------------------------------------------------------
% 0.21/0.49 thf(a_type,type,
% 0.21/0.49 a: $tType ).
% 0.21/0.49
% 0.21/0.49 thf(cTHM515_pme,conjecture,
% 0.21/0.49 ( ! [Xx: a > a > $o,Xy: a > a > $o] :
% 0.21/0.49 ( ( ! [Xx0: a,Xy0: a] :
% 0.21/0.49 ( ( Xx @ Xx0 @ Xy0 )
% 0.21/0.49 => ( Xx @ Xy0 @ Xx0 ) )
% 0.21/0.49 & ! [Xx0: a,Xy0: a,Xz: a] :
% 0.21/0.49 ( ( ( Xx @ Xx0 @ Xy0 )
% 0.21/0.49 & ( Xx @ Xy0 @ Xz ) )
% 0.21/0.49 => ( Xx @ Xx0 @ Xz ) )
% 0.21/0.49 & ( Xx = Xy ) )
% 0.21/0.49 => ( ! [Xx0: a,Xy0: a] :
% 0.21/0.49 ( ( Xy @ Xx0 @ Xy0 )
% 0.21/0.49 => ( Xy @ Xy0 @ Xx0 ) )
% 0.21/0.49 & ! [Xx0: a,Xy0: a,Xz: a] :
% 0.21/0.49 ( ( ( Xy @ Xx0 @ Xy0 )
% 0.21/0.49 & ( Xy @ Xy0 @ Xz ) )
% 0.21/0.49 => ( Xy @ Xx0 @ Xz ) )
% 0.21/0.49 & ( Xy = Xx ) ) )
% 0.21/0.49 & ! [Xx: a > a > $o,Xy: a > a > $o,Xz: a > a > $o] :
% 0.21/0.49 ( ( ! [Xx0: a,Xy0: a] :
% 0.21/0.49 ( ( Xx @ Xx0 @ Xy0 )
% 0.21/0.49 => ( Xx @ Xy0 @ Xx0 ) )
% 0.21/0.49 & ! [Xx0: a,Xy0: a,Xz0: a] :
% 0.21/0.49 ( ( ( Xx @ Xx0 @ Xy0 )
% 0.21/0.49 & ( Xx @ Xy0 @ Xz0 ) )
% 0.21/0.49 => ( Xx @ Xx0 @ Xz0 ) )
% 0.21/0.49 & ( Xx = Xy )
% 0.21/0.49 & ! [Xx0: a,Xy0: a] :
% 0.21/0.49 ( ( Xy @ Xx0 @ Xy0 )
% 0.21/0.49 => ( Xy @ Xy0 @ Xx0 ) )
% 0.21/0.49 & ! [Xx0: a,Xy0: a,Xz0: a] :
% 0.21/0.49 ( ( ( Xy @ Xx0 @ Xy0 )
% 0.21/0.49 & ( Xy @ Xy0 @ Xz0 ) )
% 0.21/0.49 => ( Xy @ Xx0 @ Xz0 ) )
% 0.21/0.49 & ( Xy = Xz ) )
% 0.21/0.49 => ( ! [Xx0: a,Xy0: a] :
% 0.21/0.49 ( ( Xx @ Xx0 @ Xy0 )
% 0.21/0.49 => ( Xx @ Xy0 @ Xx0 ) )
% 0.21/0.49 & ! [Xx0: a,Xy0: a,Xz0: a] :
% 0.21/0.49 ( ( ( Xx @ Xx0 @ Xy0 )
% 0.21/0.49 & ( Xx @ Xy0 @ Xz0 ) )
% 0.21/0.49 => ( Xx @ Xx0 @ Xz0 ) )
% 0.21/0.49 & ( Xx = Xz ) ) )
% 0.21/0.49 & ( ( ^ [Xp: a > a > $o,Xq: a > a > $o] :
% 0.21/0.49 ( ! [Xx: a,Xy: a] :
% 0.21/0.49 ( ( Xp @ Xx @ Xy )
% 0.21/0.49 => ( Xp @ Xy @ Xx ) )
% 0.21/0.49 & ! [Xx: a,Xy: a,Xz: a] :
% 0.21/0.49 ( ( ( Xp @ Xx @ Xy )
% 0.21/0.49 & ( Xp @ Xy @ Xz ) )
% 0.21/0.49 => ( Xp @ Xx @ Xz ) )
% 0.21/0.49 & ( Xp = Xq ) ) )
% 0.21/0.49 = ( ^ [Xp: a > a > $o,Xq: a > a > $o] :
% 0.21/0.49 ( ! [Xx: a,Xy: a] :
% 0.21/0.49 ( ( Xp @ Xx @ Xy )
% 0.21/0.49 => ( Xp @ Xy @ Xx ) )
% 0.21/0.49 & ! [Xx: a,Xy: a,Xz: a] :
% 0.21/0.49 ( ( ( Xp @ Xx @ Xy )
% 0.21/0.49 & ( Xp @ Xy @ Xz ) )
% 0.21/0.49 => ( Xp @ Xx @ Xz ) )
% 0.21/0.49 & ( Xp = Xq ) ) ) ) ) ).
% 0.21/0.49
% 0.21/0.49 %------------------------------------------------------------------------------
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.9Hc867Y5Ta/cvc5---1.0.5_10185.p...
% 10.43/10.73 (declare-sort $$unsorted 0)
% 10.43/10.73 (declare-sort tptp.a 0)
% 10.43/10.73 (assert (not (and (forall ((Xx (-> tptp.a tptp.a Bool)) (Xy (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xx Xx0) Xy0) (@ (@ Xx Xy0) Xx0))) (forall ((Xx0 tptp.a) (Xy0 tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xx Xx0))) (=> (and (@ _let_1 Xy0) (@ (@ Xx Xy0) Xz)) (@ _let_1 Xz)))) (= Xx Xy)) (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xy Xx0) Xy0) (@ (@ Xy Xy0) Xx0))) (forall ((Xx0 tptp.a) (Xy0 tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xy Xx0))) (=> (and (@ _let_1 Xy0) (@ (@ Xy Xy0) Xz)) (@ _let_1 Xz)))) (= Xy Xx)))) (forall ((Xx (-> tptp.a tptp.a Bool)) (Xy (-> tptp.a tptp.a Bool)) (Xz (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xx Xx0) Xy0) (@ (@ Xx Xy0) Xx0))) (forall ((Xx0 tptp.a) (Xy0 tptp.a) (Xz0 tptp.a)) (let ((_let_1 (@ Xx Xx0))) (=> (and (@ _let_1 Xy0) (@ (@ Xx Xy0) Xz0)) (@ _let_1 Xz0)))) (= Xx Xy) (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xy Xx0) Xy0) (@ (@ Xy Xy0) Xx0))) (forall ((Xx0 tptp.a) (Xy0 tptp.a) (Xz0 tptp.a)) (let ((_let_1 (@ Xy Xx0))) (=> (and (@ _let_1 Xy0) (@ (@ Xy Xy0) Xz0)) (@ _let_1 Xz0)))) (= Xy Xz)) (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xx Xx0) Xy0) (@ (@ Xx Xy0) Xx0))) (forall ((Xx0 tptp.a) (Xy0 tptp.a) (Xz0 tptp.a)) (let ((_let_1 (@ Xx Xx0))) (=> (and (@ _let_1 Xy0) (@ (@ Xx Xy0) Xz0)) (@ _let_1 Xz0)))) (= Xx Xz)))) (= (lambda ((Xp (-> tptp.a tptp.a Bool)) (Xq (-> tptp.a tptp.a Bool))) (and (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xp Xx) Xy) (@ (@ Xp Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xp Xx))) (=> (and (@ _let_1 Xy) (@ (@ Xp Xy) Xz)) (@ _let_1 Xz)))) (= Xp Xq))) (lambda ((Xp (-> tptp.a tptp.a Bool)) (Xq (-> tptp.a tptp.a Bool))) (and (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xp Xx) Xy) (@ (@ Xp Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xp Xx))) (=> (and (@ _let_1 Xy) (@ (@ Xp Xy) Xz)) (@ _let_1 Xz)))) (= Xp Xq)))))))
% 10.43/10.73 (set-info :filename cvc5---1.0.5_10185)
% 10.43/10.73 (check-sat-assuming ( true ))
% 10.43/10.73 ------- get file name : TPTP file name is SEV040^5
% 10.43/10.73 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10185.smt2...
% 10.43/10.73 --- Run --ho-elim --full-saturate-quant at 10...
% 10.43/10.73 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 10.43/10.73 % SZS status Theorem for SEV040^5
% 10.43/10.73 % SZS output start Proof for SEV040^5
% 10.43/10.73 (
% 10.43/10.73 (let ((_let_1 (not (and (forall ((Xx (-> tptp.a tptp.a Bool)) (Xy (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xx Xx0) Xy0) (@ (@ Xx Xy0) Xx0))) (forall ((Xx0 tptp.a) (Xy0 tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xx Xx0))) (=> (and (@ _let_1 Xy0) (@ (@ Xx Xy0) Xz)) (@ _let_1 Xz)))) (= Xx Xy)) (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xy Xx0) Xy0) (@ (@ Xy Xy0) Xx0))) (forall ((Xx0 tptp.a) (Xy0 tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xy Xx0))) (=> (and (@ _let_1 Xy0) (@ (@ Xy Xy0) Xz)) (@ _let_1 Xz)))) (= Xy Xx)))) (forall ((Xx (-> tptp.a tptp.a Bool)) (Xy (-> tptp.a tptp.a Bool)) (Xz (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xx Xx0) Xy0) (@ (@ Xx Xy0) Xx0))) (forall ((Xx0 tptp.a) (Xy0 tptp.a) (Xz0 tptp.a)) (let ((_let_1 (@ Xx Xx0))) (=> (and (@ _let_1 Xy0) (@ (@ Xx Xy0) Xz0)) (@ _let_1 Xz0)))) (= Xx Xy) (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xy Xx0) Xy0) (@ (@ Xy Xy0) Xx0))) (forall ((Xx0 tptp.a) (Xy0 tptp.a) (Xz0 tptp.a)) (let ((_let_1 (@ Xy Xx0))) (=> (and (@ _let_1 Xy0) (@ (@ Xy Xy0) Xz0)) (@ _let_1 Xz0)))) (= Xy Xz)) (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (@ (@ Xx Xx0) Xy0) (@ (@ Xx Xy0) Xx0))) (forall ((Xx0 tptp.a) (Xy0 tptp.a) (Xz0 tptp.a)) (let ((_let_1 (@ Xx Xx0))) (=> (and (@ _let_1 Xy0) (@ (@ Xx Xy0) Xz0)) (@ _let_1 Xz0)))) (= Xx Xz)))) (= (lambda ((Xp (-> tptp.a tptp.a Bool)) (Xq (-> tptp.a tptp.a Bool))) (and (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xp Xx) Xy) (@ (@ Xp Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xp Xx))) (=> (and (@ _let_1 Xy) (@ (@ Xp Xy) Xz)) (@ _let_1 Xz)))) (= Xp Xq))) (lambda ((Xp (-> tptp.a tptp.a Bool)) (Xq (-> tptp.a tptp.a Bool))) (and (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ Xp Xx) Xy) (@ (@ Xp Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xp Xx))) (=> (and (@ _let_1 Xy) (@ (@ Xp Xy) Xz)) (@ _let_1 Xz)))) (= Xp Xq)))))))) (let ((_let_2 (ho_6 k_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_70))) (let ((_let_3 (ho_7 _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_465))) (let ((_let_4 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_70))) (let ((_let_5 (ho_7 _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_465))) (let ((_let_6 (= _let_5 _let_3))) (let ((_let_7 (forall ((z |u_(-> tptp.a tptp.a Bool)|)) (= (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_70) z) (ho_7 (ho_6 k_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_70) z))))) (let ((_let_8 (not _let_6))) (let ((_let_9 (= _let_2 _let_4))) (let ((_let_10 (not _let_7))) (let ((_let_11 (or _let_10 _let_9))) (let ((_let_12 (forall ((x |u_(-> _u_(-> tptp.a tptp.a Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.a tptp.a Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.a tptp.a Bool)|)) (= (ho_7 x z) (ho_7 y z)))) (= x y))))) (let ((_let_13 (forall ((u |u_(-> tptp.a tptp.a Bool)|) (e |u_(-> tptp.a Bool)|) (i tptp.a)) (not (forall ((v |u_(-> tptp.a tptp.a Bool)|)) (not (forall ((ii tptp.a)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_14 (forall ((x |u_(-> tptp.a tptp.a Bool)|) (y |u_(-> tptp.a tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_15 (forall ((u |u_(-> _u_(-> tptp.a tptp.a Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.a tptp.a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.a tptp.a Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.a tptp.a Bool)|)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii)))))))))) (let ((_let_16 (forall ((u |u_(-> _u_(-> tptp.a tptp.a Bool)_ _u_(-> tptp.a tptp.a Bool)_ Bool)|) (e |u_(-> _u_(-> tptp.a tptp.a Bool)_ Bool)|) (i |u_(-> tptp.a tptp.a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.a tptp.a Bool)_ _u_(-> tptp.a tptp.a Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.a tptp.a Bool)|)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_17 (forall ((x |u_(-> _u_(-> tptp.a tptp.a Bool)_ _u_(-> tptp.a tptp.a Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.a tptp.a Bool)_ _u_(-> tptp.a tptp.a Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.a tptp.a Bool)|)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_18 (forall ((u |u_(-> tptp.a Bool)|) (e Bool) (i tptp.a)) (not (forall ((v |u_(-> tptp.a Bool)|)) (not (forall ((ii tptp.a)) (= (ho_8 v ii) (ite (= i ii) e (ho_8 u ii)))))))))) (let ((_let_19 (forall ((x |u_(-> tptp.a Bool)|) (y |u_(-> tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_8 x z) (ho_8 y z)))) (= x y))))) (let ((_let_20 (forall ((BOUND_VARIABLE_1113 |u_(-> tptp.a tptp.a Bool)|) (BOUND_VARIABLE_1108 |u_(-> tptp.a tptp.a Bool)|)) (= (ho_7 (ho_6 k_5 BOUND_VARIABLE_1113) BOUND_VARIABLE_1108) (and (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (ho_8 (ho_4 BOUND_VARIABLE_1113 Xx) Xy)) (ho_8 (ho_4 BOUND_VARIABLE_1113 Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_4 BOUND_VARIABLE_1113 Xx))) (or (not (ho_8 _let_1 Xy)) (not (ho_8 (ho_4 BOUND_VARIABLE_1113 Xy) Xz)) (ho_8 _let_1 Xz)))) (= BOUND_VARIABLE_1108 BOUND_VARIABLE_1113)))))) (let ((_let_21 (forall ((BOUND_VARIABLE_1151 |u_(-> tptp.a tptp.a Bool)|) (BOUND_VARIABLE_1150 |u_(-> tptp.a tptp.a Bool)|)) (= (ho_7 (ho_6 k_9 BOUND_VARIABLE_1151) BOUND_VARIABLE_1150) (and (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (ho_8 (ho_4 BOUND_VARIABLE_1151 Xx) Xy)) (ho_8 (ho_4 BOUND_VARIABLE_1151 Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_4 BOUND_VARIABLE_1151 Xx))) (or (not (ho_8 _let_1 Xy)) (not (ho_8 (ho_4 BOUND_VARIABLE_1151 Xy) Xz)) (ho_8 _let_1 Xz)))) (= BOUND_VARIABLE_1150 BOUND_VARIABLE_1151)))))) (let ((_let_22 (= k_5 k_9))) (let ((_let_23 (forall ((BOUND_VARIABLE_1177 |u_(-> tptp.a tptp.a Bool)|) (BOUND_VARIABLE_900 tptp.a) (BOUND_VARIABLE_898 tptp.a) (BOUND_VARIABLE_896 tptp.a) (BOUND_VARIABLE_888 tptp.a) (BOUND_VARIABLE_886 tptp.a)) (let ((_let_1 (ho_4 BOUND_VARIABLE_1177 BOUND_VARIABLE_896))) (or (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (ho_8 (ho_4 BOUND_VARIABLE_1177 Xx0) Xy0)) (ho_8 (ho_4 BOUND_VARIABLE_1177 Xy0) Xx0)))) (not (forall ((Xx0 tptp.a) (Xy0 tptp.a) (Xz0 tptp.a)) (let ((_let_1 (ho_4 BOUND_VARIABLE_1177 Xx0))) (or (not (ho_8 _let_1 Xy0)) (not (ho_8 (ho_4 BOUND_VARIABLE_1177 Xy0) Xz0)) (ho_8 _let_1 Xz0))))) (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (ho_8 (ho_4 BOUND_VARIABLE_1177 Xx0) Xy0)) (ho_8 (ho_4 BOUND_VARIABLE_1177 Xy0) Xx0)))) (not (forall ((Xx0 tptp.a) (Xy0 tptp.a) (Xz0 tptp.a)) (let ((_let_1 (ho_4 BOUND_VARIABLE_1177 Xx0))) (or (not (ho_8 _let_1 Xy0)) (not (ho_8 (ho_4 BOUND_VARIABLE_1177 Xy0) Xz0)) (ho_8 _let_1 Xz0))))) (and (or (not (ho_8 (ho_4 BOUND_VARIABLE_1177 BOUND_VARIABLE_886) BOUND_VARIABLE_888)) (ho_8 (ho_4 BOUND_VARIABLE_1177 BOUND_VARIABLE_888) BOUND_VARIABLE_886)) (or (not (ho_8 _let_1 BOUND_VARIABLE_898)) (not (ho_8 (ho_4 BOUND_VARIABLE_1177 BOUND_VARIABLE_898) BOUND_VARIABLE_900)) (ho_8 _let_1 BOUND_VARIABLE_900)))))))) (let ((_let_24 (forall ((BOUND_VARIABLE_1232 |u_(-> tptp.a tptp.a Bool)|) (BOUND_VARIABLE_802 tptp.a) (BOUND_VARIABLE_800 tptp.a) (BOUND_VARIABLE_798 tptp.a) (BOUND_VARIABLE_790 tptp.a) (BOUND_VARIABLE_788 tptp.a)) (let ((_let_1 (ho_4 BOUND_VARIABLE_1232 BOUND_VARIABLE_798))) (or (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (ho_8 (ho_4 BOUND_VARIABLE_1232 Xx0) Xy0)) (ho_8 (ho_4 BOUND_VARIABLE_1232 Xy0) Xx0)))) (not (forall ((Xx0 tptp.a) (Xy0 tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_4 BOUND_VARIABLE_1232 Xx0))) (or (not (ho_8 _let_1 Xy0)) (not (ho_8 (ho_4 BOUND_VARIABLE_1232 Xy0) Xz)) (ho_8 _let_1 Xz))))) (and (or (not (ho_8 (ho_4 BOUND_VARIABLE_1232 BOUND_VARIABLE_788) BOUND_VARIABLE_790)) (ho_8 (ho_4 BOUND_VARIABLE_1232 BOUND_VARIABLE_790) BOUND_VARIABLE_788)) (or (not (ho_8 _let_1 BOUND_VARIABLE_800)) (not (ho_8 (ho_4 BOUND_VARIABLE_1232 BOUND_VARIABLE_800) BOUND_VARIABLE_802)) (ho_8 _let_1 BOUND_VARIABLE_802)))))))) (let ((_let_25 (not (and _let_24 _let_23 _let_22)))) (let ((_let_26 (forall ((BOUND_VARIABLE_1073 (-> tptp.a tptp.a Bool)) (BOUND_VARIABLE_1074 (-> tptp.a tptp.a Bool))) (= (and (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (@ (@ BOUND_VARIABLE_1073 Xx) Xy)) (@ (@ BOUND_VARIABLE_1073 Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ BOUND_VARIABLE_1073 Xx))) (or (not (@ _let_1 Xy)) (not (@ (@ BOUND_VARIABLE_1073 Xy) Xz)) (@ _let_1 Xz)))) (= BOUND_VARIABLE_1073 BOUND_VARIABLE_1074)) (ll_3 BOUND_VARIABLE_1073 BOUND_VARIABLE_1074))))) (let ((_let_27 (forall ((BOUND_VARIABLE_1049 (-> tptp.a tptp.a Bool)) (BOUND_VARIABLE_1050 (-> tptp.a tptp.a Bool))) (= (and (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (@ (@ BOUND_VARIABLE_1049 Xx) Xy)) (@ (@ BOUND_VARIABLE_1049 Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ BOUND_VARIABLE_1049 Xx))) (or (not (@ _let_1 Xy)) (not (@ (@ BOUND_VARIABLE_1049 Xy) Xz)) (@ _let_1 Xz)))) (= BOUND_VARIABLE_1049 BOUND_VARIABLE_1050)) (ll_2 BOUND_VARIABLE_1049 BOUND_VARIABLE_1050))))) (let ((_let_28 (forall ((Xz (-> tptp.a tptp.a Bool)) (BOUND_VARIABLE_900 tptp.a) (BOUND_VARIABLE_898 tptp.a) (BOUND_VARIABLE_896 tptp.a) (BOUND_VARIABLE_888 tptp.a) (BOUND_VARIABLE_886 tptp.a)) (let ((_let_1 (@ Xz BOUND_VARIABLE_896))) (or (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (@ (@ Xz Xx0) Xy0)) (@ (@ Xz Xy0) Xx0)))) (not (forall ((Xx0 tptp.a) (Xy0 tptp.a) (Xz0 tptp.a)) (let ((_let_1 (@ Xz Xx0))) (or (not (@ _let_1 Xy0)) (not (@ (@ Xz Xy0) Xz0)) (@ _let_1 Xz0))))) (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (@ (@ Xz Xx0) Xy0)) (@ (@ Xz Xy0) Xx0)))) (not (forall ((Xx0 tptp.a) (Xy0 tptp.a) (Xz0 tptp.a)) (let ((_let_1 (@ Xz Xx0))) (or (not (@ _let_1 Xy0)) (not (@ (@ Xz Xy0) Xz0)) (@ _let_1 Xz0))))) (and (or (not (@ (@ Xz BOUND_VARIABLE_886) BOUND_VARIABLE_888)) (@ (@ Xz BOUND_VARIABLE_888) BOUND_VARIABLE_886)) (or (not (@ _let_1 BOUND_VARIABLE_898)) (not (@ (@ Xz BOUND_VARIABLE_898) BOUND_VARIABLE_900)) (@ _let_1 BOUND_VARIABLE_900)))))))) (let ((_let_29 (forall ((Xy (-> tptp.a tptp.a Bool)) (BOUND_VARIABLE_802 tptp.a) (BOUND_VARIABLE_800 tptp.a) (BOUND_VARIABLE_798 tptp.a) (BOUND_VARIABLE_790 tptp.a) (BOUND_VARIABLE_788 tptp.a)) (let ((_let_1 (@ Xy BOUND_VARIABLE_798))) (or (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (@ (@ Xy Xx0) Xy0)) (@ (@ Xy Xy0) Xx0)))) (not (forall ((Xx0 tptp.a) (Xy0 tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xy Xx0))) (or (not (@ _let_1 Xy0)) (not (@ (@ Xy Xy0) Xz)) (@ _let_1 Xz))))) (and (or (not (@ (@ Xy BOUND_VARIABLE_788) BOUND_VARIABLE_790)) (@ (@ Xy BOUND_VARIABLE_790) BOUND_VARIABLE_788)) (or (not (@ _let_1 BOUND_VARIABLE_800)) (not (@ (@ Xy BOUND_VARIABLE_800) BOUND_VARIABLE_802)) (@ _let_1 BOUND_VARIABLE_802)))))))) (let ((_let_30 (not (and _let_29 _let_28 (= ll_2 ll_3))))) (let ((_let_31 (and _let_30 _let_27 _let_26))) (let ((_let_32 (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (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 _let_29 _let_28 (= (lambda ((Xp (-> tptp.a tptp.a Bool)) (Xq (-> tptp.a tptp.a Bool))) (and (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (@ (@ Xp Xx) Xy)) (@ (@ Xp Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xp Xx))) (or (not (@ _let_1 Xy)) (not (@ (@ Xp Xy) Xz)) (@ _let_1 Xz)))) (= Xp Xq))) (lambda ((Xp (-> tptp.a tptp.a Bool)) (Xq (-> tptp.a tptp.a Bool))) (and (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (@ (@ Xp Xx) Xy)) (@ (@ Xp Xy) Xx))) (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xp Xx))) (or (not (@ _let_1 Xy)) (not (@ (@ Xp Xy) Xz)) (@ _let_1 Xz)))) (= Xp Xq)))))) _let_30))))) (PREPROCESS :args ((and _let_27 _let_26)))) :args (_let_31)) (PREPROCESS :args ((= _let_31 (and _let_25 _let_21 _let_20))))) (PREPROCESS :args ((and _let_19 _let_18 _let_17 _let_16 _let_12 _let_15 _let_14 _let_13)))) :args ((and _let_25 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_12 _let_15 _let_14 _let_13))))) (let ((_let_33 (_let_12))) (let ((_let_34 (forall ((z |u_(-> tptp.a tptp.a Bool)|)) (= (ho_6 k_9 z) (ho_6 k_5 z))))) (let ((_let_35 (not _let_9))) (let ((_let_36 (not _let_34))) (let ((_let_37 (or _let_36 _let_22))) (let ((_let_38 (_let_17))) (let ((_let_39 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_40 (or (not (ho_8 _let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (not (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19)) (ho_8 _let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19)))) (let ((_let_41 (or (not (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22)) (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23)))) (let ((_let_42 (and _let_41 _let_40))) (let ((_let_43 (forall ((Xx0 tptp.a) (Xy0 tptp.a) (Xz0 tptp.a)) (let ((_let_1 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 Xx0))) (or (not (ho_8 _let_1 Xy0)) (not (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 Xy0) Xz0)) (ho_8 _let_1 Xz0)))))) (let ((_let_44 (not _let_43))) (let ((_let_45 (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 Xx0) Xy0)) (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 Xy0) Xx0))))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_44 (not (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 Xx0) Xy0)) (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 Xy0) Xx0)))) (not (forall ((Xx0 tptp.a) (Xy0 tptp.a) (Xz0 tptp.a)) (let ((_let_1 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 Xx0))) (or (not (ho_8 _let_1 Xy0)) (not (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18 Xy0) Xz0)) (ho_8 _let_1 Xz0))))) _let_42))) (let ((_let_48 (or))) (let ((_let_49 (REFL :args (_let_47)))) (let ((_let_50 (_let_45))) (let ((_let_51 (_let_43))) (let ((_let_52 (not _let_23))) (let ((_let_53 (_let_52))) (let ((_let_54 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_55 (or (not (ho_8 _let_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (not (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (ho_8 _let_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_56 (or (not (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)))) (let ((_let_57 (and _let_56 _let_55))) (let ((_let_58 (forall ((Xx0 tptp.a) (Xy0 tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Xx0))) (or (not (ho_8 _let_1 Xy0)) (not (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Xy0) Xz)) (ho_8 _let_1 Xz)))))) (let ((_let_59 (not _let_58))) (let ((_let_60 (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (or (not (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Xx0) Xy0)) (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Xy0) Xx0))))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_59 _let_57))) (let ((_let_63 (REFL :args (_let_62)))) (let ((_let_64 (_let_60))) (let ((_let_65 (_let_58))) (let ((_let_66 (not _let_24))) (let ((_let_67 (_let_66))) (let ((_let_68 (_let_36))) (let ((_let_69 (_let_10))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_69)) :args _let_69)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_7))) (REFL :args (_let_8)) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_9 _let_10 (not _let_11)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_68)) :args _let_68)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_34))) (REFL :args (_let_35)) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_22 _let_36 (not _let_37)))) (MACRO_RESOLUTION_TRUST (NOT_AND (AND_ELIM _let_32 :args (0))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_67)) :args _let_67)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_24))) (REFL :args ((not _let_62))) :args _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_65) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_65)) (CNF_AND_NEG :args (_let_57)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_64) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_64)) (CNF_OR_NEG :args (_let_62 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 1)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_58))) :args _let_48)) :args ((or _let_58 _let_62))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 0)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_48)) :args ((or _let_60 _let_62))) :args (_let_62 true _let_55 false _let_56 true _let_57 false _let_58 false _let_60)) :args (_let_24 false _let_62)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_53)) :args _let_53)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_23))) (REFL :args ((not _let_47))) :args _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_51) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_51)) (CNF_AND_NEG :args (_let_42)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_50) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_50)) (CNF_OR_NEG :args (_let_47 4)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 1)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) 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SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_70 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_465))) (let ((_let_72 (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_70 Xx))) (or (not (ho_8 _let_1 Xy)) (not (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_70 Xy) Xz)) (ho_8 _let_1 Xz)))))) (let ((_let_73 (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_70 Xx) Xy)) (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_70 Xy) Xx))))) (let ((_let_74 (and _let_73 _let_72 _let_71))) (let ((_let_75 (= _let_3 _let_74))) (let ((_let_76 (not _let_3))) (let ((_let_77 (AND_ELIM _let_32 :args (1)))) (let ((_let_78 (_let_21))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_70 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_465 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_78))) _let_77 :args (_let_75 false _let_21)))) (let ((_let_81 (not _let_74))) (let ((_let_82 (not _let_73))) (let ((_let_83 (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_70 Xx))) (or (not (ho_8 _let_1 Xy)) (not (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_70 Xy) Xz)) (ho_8 _let_1 Xz)))))) (let ((_let_84 (forall ((Xx tptp.a) (Xy tptp.a)) (or (not (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_70 Xx) Xy)) (ho_8 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_70 Xy) Xx))))) (let ((_let_85 (and _let_84 _let_83 _let_71))) (let ((_let_86 (= _let_5 _let_85))) (let ((_let_87 (ALPHA_EQUIV :args (_let_72 (= Xx Xx) (= Xy Xy) (= Xz Xz))))) (let ((_let_88 (not _let_85))) (let ((_let_89 (REORDERING (CNF_EQUIV_POS1 :args (_let_75)) :args ((or _let_76 _let_74 (not _let_75)))))) (let ((_let_90 (_let_20))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_90) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_70 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_465 QUANTIFIERS_INST_CBQI_PROP)) :args _let_90))) (AND_ELIM _let_32 :args (2)) :args (_let_86 false _let_20)))) (let ((_let_92 (not _let_86))) (let ((_let_93 (not _let_5))) (let ((_let_94 (_let_86))) (let ((_let_95 (REORDERING (CNF_EQUIV_POS1 :args _let_94) :args ((or _let_93 _let_85 _let_92))))) (let ((_let_96 (_let_6))) (let ((_let_97 (REORDERING (CNF_EQUIV_NEG1 :args _let_96) :args ((or _let_5 _let_3 _let_6))))) (let ((_let_98 (and _let_73 _let_72))) (let ((_let_99 (ho_7 _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_70))) (let ((_let_100 (= _let_99 _let_98))) (let ((_let_101 (not _let_72))) (let ((_let_102 (ALPHA_EQUIV :args (_let_73 (= Xx Xx) (= Xy Xy))))) (let ((_let_103 (not _let_99))) (let ((_let_104 (not _let_71))) (let ((_let_105 (ASSUME :args (_let_99)))) (let ((_let_106 (ASSUME :args (_let_71)))) (let ((_let_107 (ASSUME :args (_let_76)))) (let ((_let_108 (not _let_84))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_74 2)) :args ((or _let_71 _let_81))) (REORDERING (CNF_AND_NEG :args (_let_85)) :args ((or _let_108 (not _let_83) _let_85 _let_104))) _let_89 _let_80 (REORDERING (CNF_EQUIV_POS2 :args _let_94) :args ((or _let_5 _let_88 _let_92))) _let_91 _let_97 _let_70 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_105 _let_106 _let_107) :args (_let_99 _let_76 _let_71)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_107)) (CONG (REFL :args (_let_2)) (SYMM _let_106) :args (APPLY_UF ho_7)) (TRUE_INTRO _let_105))) :args (_let_99 _let_71 _let_76)) :args ((not (and _let_99 _let_76 _let_71)) SB_LITERAL))) (CONG (REFL :args (_let_103)) (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_3))) (REFL :args (_let_104)) :args _let_48)) (REORDERING (CNF_AND_POS :args (_let_85 2)) :args ((or _let_71 _let_88))) _let_95 _let_91 (CNF_EQUIV_NEG2 :args _let_96) _let_70 :args ((or _let_103 _let_93) false _let_71 false _let_85 false _let_86 true _let_3 true _let_6)) (REORDERING (CNF_EQUIV_POS2 :args (_let_100)) :args ((or _let_99 (not _let_98) (not _let_100)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_70 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_70 QUANTIFIERS_INST_ENUM)) :args _let_78))) _let_77 :args (_let_100 false _let_21)) (REORDERING (CNF_AND_NEG :args (_let_98)) :args ((or _let_82 _let_101 _let_98))) (REORDERING (EQUIV_ELIM1 _let_87) :args ((or _let_83 _let_101))) (REORDERING (EQUIV_ELIM1 _let_102) :args ((or _let_84 _let_82))) :args ((or _let_82 _let_101) true _let_71 false _let_74 false _let_75 true _let_85 false _let_86 false _let_3 true _let_6 true _let_5 false _let_99 false _let_100 false _let_98 false _let_83 false _let_84)) (MACRO_RESOLUTION_TRUST _let_97 _let_70 _let_95 _let_91 _let_89 _let_80 (REORDERING (CNF_AND_POS :args (_let_85 1)) :args ((or _let_83 _let_88))) (REORDERING (CNF_AND_POS :args (_let_74 1)) :args ((or _let_72 _let_81))) (EQUIV_ELIM2 _let_87) :args (_let_72 true _let_6 true _let_5 false _let_86 true _let_3 false _let_75 true _let_85 true _let_74 true _let_83)) :args (_let_82 false _let_72)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_97 (MACRO_RESOLUTION_TRUST _let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_85 0)) :args ((or _let_84 _let_88))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 _let_102) _let_109 :args (_let_108 true _let_73)) :args (_let_88 true _let_84)) _let_91 :args (_let_93 true _let_85 false _let_86)) (MACRO_RESOLUTION_TRUST _let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_74 0)) :args ((or _let_73 _let_81))) _let_109 :args (_let_81 true _let_73)) _let_80 :args (_let_76 true _let_74 false _let_75)) _let_70 :args (false true _let_5 true _let_3 true _let_6)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.43/10.73 )
% 10.43/10.73 % SZS output end Proof for SEV040^5
% 10.43/10.73 % cvc5---1.0.5 exiting
% 10.43/10.73 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------