TSTP Solution File: SEV267^5 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV267^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 19:22:04 EDT 2023
% Result : Theorem 0.35s 0.70s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV267^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 03:44:42 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.49 %----Proving TH0
% 0.35/0.70 %------------------------------------------------------------------------------
% 0.35/0.70 % File : SEV267^5 : TPTP v8.1.2. Released v4.0.0.
% 0.35/0.70 % Domain : Set Theory (Sets of sets)
% 0.35/0.70 % Problem : TPS problem from TOPOLOGY-THMS
% 0.35/0.70 % Version : Especial.
% 0.35/0.70 % English :
% 0.35/0.70
% 0.35/0.70 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.35/0.70 % Source : [Bro09]
% 0.35/0.70 % Names : tps_1057 [Bro09]
% 0.35/0.70
% 0.35/0.70 % Status : Theorem
% 0.35/0.70 % Rating : 0.54 v8.1.0, 0.45 v7.5.0, 0.71 v7.4.0, 0.56 v7.2.0, 0.50 v7.0.0, 0.57 v6.4.0, 0.67 v6.3.0, 0.80 v6.2.0, 0.43 v6.1.0, 0.57 v5.5.0, 0.33 v5.4.0, 0.60 v5.2.0, 0.40 v5.1.0, 0.60 v5.0.0, 0.40 v4.1.0, 0.33 v4.0.0
% 0.35/0.70 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.35/0.70 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 0.35/0.70 % Maximal formula atoms : 1 ( 1 avg)
% 0.35/0.70 % Number of connectives : 33 ( 0 ~; 0 |; 7 &; 17 @)
% 0.35/0.70 % ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% 0.35/0.70 % Maximal formula depth : 15 ( 15 avg)
% 0.35/0.70 % Number of types : 2 ( 1 usr)
% 0.35/0.70 % Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% 0.35/0.70 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.35/0.70 % Number of variables : 14 ( 1 ^; 10 !; 3 ?; 14 :)
% 0.35/0.70 % SPC : TH0_THM_EQU_NAR
% 0.35/0.70
% 0.35/0.70 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.35/0.70 % project in the Department of Mathematical Sciences at Carnegie
% 0.35/0.70 % Mellon University. Distributed under the Creative Commons copyleft
% 0.35/0.70 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.35/0.70 %------------------------------------------------------------------------------
% 0.35/0.70 thf(a_type,type,
% 0.35/0.70 a: $tType ).
% 0.35/0.70
% 0.35/0.70 thf(cNBHD_THM1_pme,conjecture,
% 0.35/0.70 ! [T: ( a > $o ) > $o] :
% 0.35/0.70 ( ! [S: a > $o,R: a > $o] :
% 0.35/0.70 ( ( ! [Xx: a > $o] :
% 0.35/0.70 ( ( ( T @ Xx )
% 0.35/0.70 & ! [Xx0: a] :
% 0.35/0.70 ( ( Xx @ Xx0 )
% 0.35/0.70 => ( S @ Xx0 ) ) )
% 0.35/0.70 => ( T @ Xx ) )
% 0.35/0.70 & ( R
% 0.35/0.70 = ( ^ [Xx: a] :
% 0.35/0.70 ? [S_19: a > $o] :
% 0.35/0.70 ( ( T @ S_19 )
% 0.35/0.70 & ! [Xx0: a] :
% 0.35/0.70 ( ( S_19 @ Xx0 )
% 0.35/0.70 => ( S @ Xx0 ) )
% 0.35/0.70 & ( S_19 @ Xx ) ) ) ) )
% 0.35/0.70 => ( T @ R ) )
% 0.35/0.70 => ! [S: a > $o] :
% 0.35/0.70 ( ( T @ S )
% 0.35/0.70 <=> ! [Xx: a] :
% 0.35/0.70 ( ( S @ Xx )
% 0.35/0.70 => ? [R: a > $o] :
% 0.35/0.70 ( ? [N: a > $o] :
% 0.35/0.70 ( ( T @ N )
% 0.35/0.70 & ! [Xx0: a] :
% 0.35/0.70 ( ( N @ Xx0 )
% 0.35/0.70 => ( R @ Xx0 ) )
% 0.35/0.70 & ( N @ Xx ) )
% 0.35/0.70 & ! [Xx0: a] :
% 0.35/0.70 ( ( R @ Xx0 )
% 0.35/0.70 => ( S @ Xx0 ) ) ) ) ) ) ).
% 0.35/0.70
% 0.35/0.70 %------------------------------------------------------------------------------
% 0.35/0.70 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ToTn3fje3f/cvc5---1.0.5_15613.p...
% 0.35/0.70 (declare-sort $$unsorted 0)
% 0.35/0.70 (declare-sort tptp.a 0)
% 0.35/0.70 (assert (not (forall ((T (-> (-> tptp.a Bool) Bool))) (=> (forall ((S (-> tptp.a Bool)) (R (-> tptp.a Bool))) (=> (and (forall ((Xx (-> tptp.a Bool))) (let ((_let_1 (@ T Xx))) (=> (and _let_1 (forall ((Xx0 tptp.a)) (=> (@ Xx Xx0) (@ S Xx0)))) _let_1))) (= R (lambda ((Xx tptp.a)) (exists ((S_19 (-> tptp.a Bool))) (and (@ T S_19) (forall ((Xx0 tptp.a)) (=> (@ S_19 Xx0) (@ S Xx0))) (@ S_19 Xx)))))) (@ T R))) (forall ((S (-> tptp.a Bool))) (= (@ T S) (forall ((Xx tptp.a)) (=> (@ S Xx) (exists ((R (-> tptp.a Bool))) (and (exists ((N (-> tptp.a Bool))) (and (@ T N) (forall ((Xx0 tptp.a)) (=> (@ N Xx0) (@ R Xx0))) (@ N Xx))) (forall ((Xx0 tptp.a)) (=> (@ R Xx0) (@ S Xx0)))))))))))))
% 0.35/0.70 (set-info :filename cvc5---1.0.5_15613)
% 0.35/0.70 (check-sat-assuming ( true ))
% 0.35/0.70 ------- get file name : TPTP file name is SEV267^5
% 0.35/0.70 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15613.smt2...
% 0.35/0.70 --- Run --ho-elim --full-saturate-quant at 10...
% 0.35/0.70 % SZS status Theorem for SEV267^5
% 0.35/0.70 % SZS output start Proof for SEV267^5
% 0.35/0.70 (
% 0.35/0.70 (let ((_let_1 (not (forall ((T (-> (-> tptp.a Bool) Bool))) (=> (forall ((S (-> tptp.a Bool)) (R (-> tptp.a Bool))) (=> (and (forall ((Xx (-> tptp.a Bool))) (let ((_let_1 (@ T Xx))) (=> (and _let_1 (forall ((Xx0 tptp.a)) (=> (@ Xx Xx0) (@ S Xx0)))) _let_1))) (= R (lambda ((Xx tptp.a)) (exists ((S_19 (-> tptp.a Bool))) (and (@ T S_19) (forall ((Xx0 tptp.a)) (=> (@ S_19 Xx0) (@ S Xx0))) (@ S_19 Xx)))))) (@ T R))) (forall ((S (-> tptp.a Bool))) (= (@ T S) (forall ((Xx tptp.a)) (=> (@ S Xx) (exists ((R (-> tptp.a Bool))) (and (exists ((N (-> tptp.a Bool))) (and (@ T N) (forall ((Xx0 tptp.a)) (=> (@ N Xx0) (@ R Xx0))) (@ N Xx))) (forall ((Xx0 tptp.a)) (=> (@ R Xx0) (@ S Xx0)))))))))))))) (let ((_let_2 (forall ((BOUND_VARIABLE_853 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_850 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xx0 tptp.a)) (or (not (ho_3 BOUND_VARIABLE_853 Xx0)) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xx0)))) (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 BOUND_VARIABLE_850)) (not (forall ((Xx0 tptp.a)) (or (not (ho_3 BOUND_VARIABLE_850 Xx0)) (ho_3 BOUND_VARIABLE_853 Xx0)))) (not (ho_3 BOUND_VARIABLE_850 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87)))))) (let ((_let_3 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87))) (let ((_let_4 (not _let_3))) (let ((_let_5 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_6 (not _let_5))) (let ((_let_7 (or _let_6 _let_4))) (let ((_let_8 (not _let_2))) (let ((_let_9 (or _let_4 _let_8))) (let ((_let_10 (forall ((Xx tptp.a)) (or (not (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xx)) (not (forall ((BOUND_VARIABLE_853 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_850 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xx0 tptp.a)) (or (not (ho_3 BOUND_VARIABLE_853 Xx0)) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xx0)))) (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 BOUND_VARIABLE_850)) (not (forall ((Xx0 tptp.a)) (or (not (ho_3 BOUND_VARIABLE_850 Xx0)) (ho_3 BOUND_VARIABLE_853 Xx0)))) (not (ho_3 BOUND_VARIABLE_850 Xx))))))))) (let ((_let_11 (not _let_9))) (let ((_let_12 (= _let_10 _let_5))) (let ((_let_13 (forall ((BOUND_VARIABLE_853 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_850 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xx0 tptp.a)) (or (not (ho_3 BOUND_VARIABLE_853 Xx0)) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xx0)))) (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 BOUND_VARIABLE_850)) (not (forall ((Xx0 tptp.a)) (or (not (ho_3 BOUND_VARIABLE_850 Xx0)) (ho_3 BOUND_VARIABLE_853 Xx0)))) (not (ho_3 BOUND_VARIABLE_850 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68)))))) (let ((_let_14 (not _let_13))) (let ((_let_15 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_14))) (let ((_let_18 (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_19 (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_18))) (let ((_let_20 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_18))) (let ((_let_21 (forall ((z tptp.a)) (= (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 z) (ho_3 (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) z))))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20))) (let ((_let_24 (ho_3 _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68))) (let ((_let_25 (= _let_15 _let_24))) (let ((_let_26 (forall ((BOUND_VARIABLE_832 |u_(-> tptp.a Bool)|)) (or (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 BOUND_VARIABLE_832)) (not (forall ((Xx0 tptp.a)) (or (not (ho_3 BOUND_VARIABLE_832 Xx0)) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xx0)))) (not (ho_3 BOUND_VARIABLE_832 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68)))))) (let ((_let_27 (not _let_26))) (let ((_let_28 (= _let_24 _let_27))) (let ((_let_29 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68))) (let ((_let_30 (not _let_29))) (let ((_let_31 (forall ((Xx0 tptp.a)) (or (not (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 Xx0)) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Xx0))))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or (not (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83)) _let_32 _let_30))) (let ((_let_34 (or _let_30 _let_15))) (let ((_let_35 (not _let_10))) (let ((_let_36 (forall ((BOUND_VARIABLE_880 |u_(-> tptp.a Bool)|)) (ho_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) BOUND_VARIABLE_880))))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_12))) (let ((_let_39 (forall ((BOUND_VARIABLE_860 |u_(-> _u_(-> tptp.a Bool)_ Bool)|) (BOUND_VARIABLE_863 |u_(-> tptp.a Bool)|)) (or (not (forall ((BOUND_VARIABLE_880 |u_(-> tptp.a Bool)|)) (ho_4 BOUND_VARIABLE_860 (ho_7 (ho_6 k_5 BOUND_VARIABLE_860) BOUND_VARIABLE_880)))) (= (forall ((Xx tptp.a)) (or (not (ho_3 BOUND_VARIABLE_863 Xx)) (not (forall ((BOUND_VARIABLE_853 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_850 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xx0 tptp.a)) (or (not (ho_3 BOUND_VARIABLE_853 Xx0)) (ho_3 BOUND_VARIABLE_863 Xx0)))) (not (ho_4 BOUND_VARIABLE_860 BOUND_VARIABLE_850)) (not (forall ((Xx0 tptp.a)) (or (not (ho_3 BOUND_VARIABLE_850 Xx0)) (ho_3 BOUND_VARIABLE_853 Xx0)))) (not (ho_3 BOUND_VARIABLE_850 Xx))))))) (ho_4 BOUND_VARIABLE_860 BOUND_VARIABLE_863)))))) (let ((_let_40 (not _let_38))) (let ((_let_41 (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_42 (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_43 (forall ((u |u_(-> _u_(-> _u_(-> tptp.a Bool)_ Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|) (e |u_(-> _u_(-> tptp.a Bool)_ tptp.a Bool)|) (i |u_(-> _u_(-> tptp.a Bool)_ Bool)|)) (not (forall ((v |u_(-> _u_(-> _u_(-> tptp.a Bool)_ Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (not (forall ((ii |u_(-> _u_(-> tptp.a Bool)_ Bool)|)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_44 (forall ((x |u_(-> _u_(-> _u_(-> tptp.a Bool)_ Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|) (y |u_(-> _u_(-> _u_(-> tptp.a Bool)_ Bool)_ _u_(-> tptp.a Bool)_ tptp.a Bool)|)) (or (not (forall ((z |u_(-> _u_(-> tptp.a Bool)_ Bool)|)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_45 (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_7 v ii) (ite (= i ii) e (ho_7 u ii)))))))))) (let ((_let_46 (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_7 x z) (ho_7 y z)))) (= x y))))) (let ((_let_47 (forall ((u |u_(-> _u_(-> tptp.a Bool)_ Bool)|) (e Bool) (i |u_(-> tptp.a Bool)|)) (not (forall ((v |u_(-> _u_(-> tptp.a Bool)_ Bool)|)) (not (forall ((ii |u_(-> tptp.a Bool)|)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_48 (forall ((x |u_(-> _u_(-> tptp.a Bool)_ Bool)|) (y |u_(-> _u_(-> tptp.a Bool)_ Bool)|)) (or (not (forall ((z |u_(-> tptp.a Bool)|)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_49 (forall ((BOUND_VARIABLE_818 |u_(-> _u_(-> tptp.a Bool)_ Bool)|) (BOUND_VARIABLE_813 |u_(-> tptp.a Bool)|) (BOUND_VARIABLE_790 tptp.a)) (= (ho_3 (ho_7 (ho_6 k_5 BOUND_VARIABLE_818) BOUND_VARIABLE_813) BOUND_VARIABLE_790) (not (forall ((BOUND_VARIABLE_832 |u_(-> tptp.a Bool)|)) (or (not (ho_4 BOUND_VARIABLE_818 BOUND_VARIABLE_832)) (not (forall ((Xx0 tptp.a)) (or (not (ho_3 BOUND_VARIABLE_832 Xx0)) (ho_3 BOUND_VARIABLE_813 Xx0)))) (not (ho_3 BOUND_VARIABLE_832 BOUND_VARIABLE_790))))))))) (let ((_let_50 (not _let_39))) (let ((_let_51 (forall ((BOUND_VARIABLE_788 (-> (-> tptp.a Bool) Bool)) (BOUND_VARIABLE_789 (-> tptp.a Bool)) (BOUND_VARIABLE_790 tptp.a)) (= (not (forall ((S_19 (-> tptp.a Bool))) (or (not (@ BOUND_VARIABLE_788 S_19)) (not (forall ((Xx0 tptp.a)) (or (not (@ S_19 Xx0)) (@ BOUND_VARIABLE_789 Xx0)))) (not (@ S_19 BOUND_VARIABLE_790))))) (ll_2 BOUND_VARIABLE_788 BOUND_VARIABLE_789 BOUND_VARIABLE_790))))) (let ((_let_52 (not (forall ((T (-> (-> tptp.a Bool) Bool)) (BOUND_VARIABLE_744 (-> tptp.a Bool))) (or (not (forall ((S (-> tptp.a Bool))) (@ T (@ (@ ll_2 T) S)))) (= (@ T BOUND_VARIABLE_744) (forall ((Xx tptp.a)) (or (not (@ BOUND_VARIABLE_744 Xx)) (not (forall ((R (-> tptp.a Bool)) (BOUND_VARIABLE_714 (-> tptp.a Bool))) (or (not (forall ((Xx0 tptp.a)) (or (not (@ R Xx0)) (@ BOUND_VARIABLE_744 Xx0)))) (not (@ T BOUND_VARIABLE_714)) (not (forall ((Xx0 tptp.a)) (or (not (@ BOUND_VARIABLE_714 Xx0)) (@ R Xx0)))) (not (@ BOUND_VARIABLE_714 Xx))))))))))))) (let ((_let_53 (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 ((T (-> (-> tptp.a Bool) Bool)) (BOUND_VARIABLE_744 (-> tptp.a Bool))) (or (not (forall ((S (-> tptp.a Bool))) (@ T (lambda ((Xx tptp.a)) (not (forall ((S_19 (-> tptp.a Bool))) (or (not (@ T S_19)) (not (forall ((Xx0 tptp.a)) (or (not (@ S_19 Xx0)) (@ S Xx0)))) (not (@ S_19 Xx))))))))) (= (@ T BOUND_VARIABLE_744) (forall ((Xx tptp.a)) (or (not (@ BOUND_VARIABLE_744 Xx)) (not (forall ((R (-> tptp.a Bool)) (BOUND_VARIABLE_714 (-> tptp.a Bool))) (or (not (forall ((Xx0 tptp.a)) (or (not (@ R Xx0)) (@ BOUND_VARIABLE_744 Xx0)))) (not (@ T BOUND_VARIABLE_714)) (not (forall ((Xx0 tptp.a)) (or (not (@ BOUND_VARIABLE_714 Xx0)) (@ R Xx0)))) (not (@ BOUND_VARIABLE_714 Xx))))))))))) _let_52))))) (PREPROCESS :args (_let_51))) (PREPROCESS :args ((= (and _let_52 _let_51) (and _let_50 _let_49))))) (PREPROCESS :args ((and _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41)))) :args ((and _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41))))) (let ((_let_54 (or))) (let ((_let_55 (_let_50))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_55)) :args _let_55)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_39))) (REFL :args (_let_40)) :args _let_54)) (AND_ELIM _let_53 :args (0)) :args (_let_40 true _let_39)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 1)) _let_56 :args ((not _let_12) true _let_38)))) (let ((_let_58 (_let_12))) (let ((_let_59 (_let_10))) (let ((_let_60 (_let_36))) (let ((_let_61 (ASSUME :args (_let_6)))) (let ((_let_62 (ASSUME :args (_let_20)))) (let ((_let_63 (ASSUME :args (_let_19)))) (let ((_let_64 (_let_42))) (let ((_let_65 (_let_22))) (let ((_let_66 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_68))) (let ((_let_67 (not _let_66))) (let ((_let_68 (forall ((Xx0 tptp.a)) (or (not (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_79 Xx0)) (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_78 Xx0))))) (let ((_let_69 (not _let_68))) (let ((_let_70 (ho_4 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((_let_107 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_107) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_ENUM)) :args _let_107))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_6 _let_4 _let_106))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_58) :args ((or _let_10 _let_5 _let_12))) _let_102 _let_57 :args (_let_5 true _let_10 true _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_9 0)) (CONG _let_105 (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))) :args _let_54)) :args ((or _let_3 _let_9))) _let_104 :args (_let_3 true _let_9)) :args (_let_106 false _let_5 false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_9 1)) (CONG _let_105 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_2))) :args _let_54)) :args ((or _let_2 _let_9))) _let_104 :args (_let_2 true _let_9)) :args (false true _let_7 false _let_2)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.35/0.71 )
% 0.35/0.71 % SZS output end Proof for SEV267^5
% 0.35/0.71 % cvc5---1.0.5 exiting
% 0.35/0.71 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------