TSTP Solution File: SEV044^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV044^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 0.19s 0.54s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV044^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n020.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 01:55:30 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.48 %----Proving TH0
% 0.19/0.50 %------------------------------------------------------------------------------
% 0.19/0.50 % File : SEV044^5 : TPTP v8.1.2. Released v4.0.0.
% 0.19/0.50 % Domain : Set Theory (Relations)
% 0.19/0.50 % Problem : TPS problem from PERS-THMS
% 0.19/0.50 % Version : Especial.
% 0.19/0.50 % English :
% 0.19/0.50
% 0.19/0.50 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.19/0.50 % Source : [Bro09]
% 0.19/0.50 % Names : tps_1114 [Bro09]
% 0.19/0.50
% 0.19/0.50 % Status : Theorem
% 0.19/0.50 % Rating : 0.09 v8.1.0, 0.08 v7.4.0, 0.11 v7.3.0, 0.10 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.0.0, 0.00 v5.1.0, 0.25 v5.0.0, 0.00 v4.0.1, 0.33 v4.0.0
% 0.19/0.50 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.19/0.50 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.19/0.50 % Maximal formula atoms : 0 ( 0 avg)
% 0.19/0.50 % Number of connectives : 61 ( 0 ~; 0 |; 4 &; 46 @)
% 0.19/0.50 % ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% 0.19/0.50 % Maximal formula depth : 15 ( 15 avg)
% 0.19/0.50 % Number of types : 3 ( 2 usr)
% 0.19/0.50 % Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% 0.19/0.50 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.19/0.50 % Number of variables : 18 ( 0 ^; 18 !; 0 ?; 18 :)
% 0.19/0.50 % SPC : TH0_THM_NEQ_NAR
% 0.19/0.50
% 0.19/0.50 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.19/0.50 % project in the Department of Mathematical Sciences at Carnegie
% 0.19/0.50 % Mellon University. Distributed under the Creative Commons copyleft
% 0.19/0.50 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.19/0.50 %------------------------------------------------------------------------------
% 0.19/0.50 thf(b_type,type,
% 0.19/0.50 b: $tType ).
% 0.19/0.50
% 0.19/0.50 thf(a_type,type,
% 0.19/0.50 a: $tType ).
% 0.19/0.50
% 0.19/0.50 thf(cTHM506_pme,conjecture,
% 0.19/0.50 ! [Xs: b > $o,Xp: b > a > a > $o] :
% 0.19/0.50 ( ! [Xx: b] :
% 0.19/0.50 ( ( Xs @ Xx )
% 0.19/0.50 => ( ! [Xx0: a,Xy: a] :
% 0.19/0.50 ( ( Xp @ Xx @ Xx0 @ Xy )
% 0.19/0.50 => ( Xp @ Xx @ Xy @ Xx0 ) )
% 0.19/0.50 & ! [Xx0: a,Xy: a,Xz: a] :
% 0.19/0.50 ( ( ( Xp @ Xx @ Xx0 @ Xy )
% 0.19/0.50 & ( Xp @ Xx @ Xy @ Xz ) )
% 0.19/0.50 => ( Xp @ Xx @ Xx0 @ Xz ) ) ) )
% 0.19/0.50 => ( ! [Xx: b > a,Xy: b > a] :
% 0.19/0.50 ( ! [Xx0: b] :
% 0.19/0.50 ( ( Xs @ Xx0 )
% 0.19/0.50 => ( Xp @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xx0 ) ) )
% 0.19/0.50 => ! [Xx0: b] :
% 0.19/0.50 ( ( Xs @ Xx0 )
% 0.19/0.50 => ( Xp @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xx0 ) ) ) )
% 0.19/0.50 & ! [Xx: b > a,Xy: b > a,Xz: b > a] :
% 0.19/0.50 ( ( ! [Xx0: b] :
% 0.19/0.50 ( ( Xs @ Xx0 )
% 0.19/0.50 => ( Xp @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xx0 ) ) )
% 0.19/0.50 & ! [Xx0: b] :
% 0.19/0.50 ( ( Xs @ Xx0 )
% 0.19/0.50 => ( Xp @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xx0 ) ) ) )
% 0.19/0.50 => ! [Xx0: b] :
% 0.19/0.50 ( ( Xs @ Xx0 )
% 0.19/0.50 => ( Xp @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xx0 ) ) ) ) ) ) ).
% 0.19/0.50
% 0.19/0.50 %------------------------------------------------------------------------------
% 0.19/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.r5ko1m0wUC/cvc5---1.0.5_15370.p...
% 0.19/0.50 (declare-sort $$unsorted 0)
% 0.19/0.50 (declare-sort tptp.b 0)
% 0.19/0.50 (declare-sort tptp.a 0)
% 0.19/0.50 (assert (not (forall ((Xs (-> tptp.b Bool)) (Xp (-> tptp.b tptp.a tptp.a Bool))) (=> (forall ((Xx tptp.b)) (=> (@ Xs Xx) (and (forall ((Xx0 tptp.a) (Xy tptp.a)) (let ((_let_1 (@ Xp Xx))) (=> (@ (@ _let_1 Xx0) Xy) (@ (@ _let_1 Xy) Xx0)))) (forall ((Xx0 tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xp Xx))) (let ((_let_2 (@ _let_1 Xx0))) (=> (and (@ _let_2 Xy) (@ (@ _let_1 Xy) Xz)) (@ _let_2 Xz)))))))) (and (forall ((Xx (-> tptp.b tptp.a)) (Xy (-> tptp.b tptp.a))) (=> (forall ((Xx0 tptp.b)) (=> (@ Xs Xx0) (@ (@ (@ Xp Xx0) (@ Xx Xx0)) (@ Xy Xx0)))) (forall ((Xx0 tptp.b)) (=> (@ Xs Xx0) (@ (@ (@ Xp Xx0) (@ Xy Xx0)) (@ Xx Xx0)))))) (forall ((Xx (-> tptp.b tptp.a)) (Xy (-> tptp.b tptp.a)) (Xz (-> tptp.b tptp.a))) (=> (and (forall ((Xx0 tptp.b)) (=> (@ Xs Xx0) (@ (@ (@ Xp Xx0) (@ Xx Xx0)) (@ Xy Xx0)))) (forall ((Xx0 tptp.b)) (=> (@ Xs Xx0) (@ (@ (@ Xp Xx0) (@ Xy Xx0)) (@ Xz Xx0))))) (forall ((Xx0 tptp.b)) (=> (@ Xs Xx0) (@ (@ (@ Xp Xx0) (@ Xx Xx0)) (@ Xz Xx0)))))))))))
% 0.19/0.50 (set-info :filename cvc5---1.0.5_15370)
% 0.19/0.54 (check-sat-assuming ( true ))
% 0.19/0.54 ------- get file name : TPTP file name is SEV044^5
% 0.19/0.54 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15370.smt2...
% 0.19/0.54 --- Run --ho-elim --full-saturate-quant at 10...
% 0.19/0.54 % SZS status Theorem for SEV044^5
% 0.19/0.54 % SZS output start Proof for SEV044^5
% 0.19/0.54 (
% 0.19/0.54 (let ((_let_1 (not (forall ((Xs (-> tptp.b Bool)) (Xp (-> tptp.b tptp.a tptp.a Bool))) (=> (forall ((Xx tptp.b)) (=> (@ Xs Xx) (and (forall ((Xx0 tptp.a) (Xy tptp.a)) (let ((_let_1 (@ Xp Xx))) (=> (@ (@ _let_1 Xx0) Xy) (@ (@ _let_1 Xy) Xx0)))) (forall ((Xx0 tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ Xp Xx))) (let ((_let_2 (@ _let_1 Xx0))) (=> (and (@ _let_2 Xy) (@ (@ _let_1 Xy) Xz)) (@ _let_2 Xz)))))))) (and (forall ((Xx (-> tptp.b tptp.a)) (Xy (-> tptp.b tptp.a))) (=> (forall ((Xx0 tptp.b)) (=> (@ Xs Xx0) (@ (@ (@ Xp Xx0) (@ Xx Xx0)) (@ Xy Xx0)))) (forall ((Xx0 tptp.b)) (=> (@ Xs Xx0) (@ (@ (@ Xp Xx0) (@ Xy Xx0)) (@ Xx Xx0)))))) (forall ((Xx (-> tptp.b tptp.a)) (Xy (-> tptp.b tptp.a)) (Xz (-> tptp.b tptp.a))) (=> (and (forall ((Xx0 tptp.b)) (=> (@ Xs Xx0) (@ (@ (@ Xp Xx0) (@ Xx Xx0)) (@ Xy Xx0)))) (forall ((Xx0 tptp.b)) (=> (@ Xs Xx0) (@ (@ (@ Xp Xx0) (@ Xy Xx0)) (@ Xz Xx0))))) (forall ((Xx0 tptp.b)) (=> (@ Xs Xx0) (@ (@ (@ Xp Xx0) (@ Xx Xx0)) (@ Xz Xx0)))))))))))) (let ((_let_2 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_3 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_4 (ho_4 _let_3 _let_2))) (let ((_let_5 (ho_5 _let_4 _let_2))) (let ((_let_6 (not _let_5))) (let ((_let_7 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_8 (ho_5 (ho_4 _let_3 _let_7) _let_2))) (let ((_let_9 (ho_5 _let_4 _let_7))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8))) (let ((_let_12 (and _let_11 (or _let_6 _let_6 _let_5)))) (let ((_let_13 (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12))) (let ((_let_16 (forall ((Xx tptp.b) (BOUND_VARIABLE_706 tptp.a) (BOUND_VARIABLE_704 tptp.a) (BOUND_VARIABLE_702 tptp.a) (BOUND_VARIABLE_694 tptp.a) (BOUND_VARIABLE_692 tptp.a)) (let ((_let_1 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xx))) (let ((_let_2 (ho_4 _let_1 BOUND_VARIABLE_702))) (or (not (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Xx)) (and (or (not (ho_5 (ho_4 _let_1 BOUND_VARIABLE_692) BOUND_VARIABLE_694)) (ho_5 (ho_4 _let_1 BOUND_VARIABLE_694) BOUND_VARIABLE_692)) (or (not (ho_5 _let_2 BOUND_VARIABLE_704)) (not (ho_5 (ho_4 _let_1 BOUND_VARIABLE_704) BOUND_VARIABLE_706)) (ho_5 _let_2 BOUND_VARIABLE_706))))))))) (let ((_let_17 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_18 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_19 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_20 (ho_4 _let_19 _let_18))) (let ((_let_21 (ho_5 _let_20 _let_17))) (let ((_let_22 (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_23 (not _let_22))) (let ((_let_24 (forall ((Xx0 tptp.b)) (or (not (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Xx0)) (ho_5 (ho_4 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xx0) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 Xx0)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 Xx0)))))) (let ((_let_25 (not _let_24))) (let ((_let_26 (forall ((Xx0 tptp.b)) (or (not (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Xx0)) (ho_5 (ho_4 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xx0) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 Xx0)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 Xx0)))))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_25 _let_23 _let_21))) (let ((_let_29 (forall ((Xx0 tptp.b)) (or (not (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Xx0)) (ho_5 (ho_4 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xx0) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 Xx0)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 Xx0)))))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_14 _let_8))) (let ((_let_32 (and _let_31 _let_28))) (let ((_let_33 (not _let_16))) (let ((_let_34 (or _let_33 _let_32))) (let ((_let_35 (forall ((BOUND_VARIABLE_862 |u_(-> tptp.b Bool)|) (BOUND_VARIABLE_849 |u_(-> tptp.b tptp.a tptp.a Bool)|) (BOUND_VARIABLE_812 tptp.b) (BOUND_VARIABLE_842 |u_(-> tptp.b tptp.a)|) (BOUND_VARIABLE_868 |u_(-> tptp.b tptp.a)|) (BOUND_VARIABLE_846 |u_(-> tptp.b tptp.a)|) (BOUND_VARIABLE_789 tptp.b) (BOUND_VARIABLE_891 |u_(-> tptp.b tptp.a)|) (BOUND_VARIABLE_889 |u_(-> tptp.b tptp.a)|)) (or (not (forall ((Xx tptp.b) (BOUND_VARIABLE_706 tptp.a) (BOUND_VARIABLE_704 tptp.a) (BOUND_VARIABLE_702 tptp.a) (BOUND_VARIABLE_694 tptp.a) (BOUND_VARIABLE_692 tptp.a)) (let ((_let_1 (ho_3 BOUND_VARIABLE_849 Xx))) (let ((_let_2 (ho_4 _let_1 BOUND_VARIABLE_702))) (or (not (ho_6 BOUND_VARIABLE_862 Xx)) (and (or (not (ho_5 (ho_4 _let_1 BOUND_VARIABLE_692) BOUND_VARIABLE_694)) (ho_5 (ho_4 _let_1 BOUND_VARIABLE_694) BOUND_VARIABLE_692)) (or (not (ho_5 _let_2 BOUND_VARIABLE_704)) (not (ho_5 (ho_4 _let_1 BOUND_VARIABLE_704) BOUND_VARIABLE_706)) (ho_5 _let_2 BOUND_VARIABLE_706)))))))) (and (or (not (forall ((Xx0 tptp.b)) (or (not (ho_6 BOUND_VARIABLE_862 Xx0)) (ho_5 (ho_4 (ho_3 BOUND_VARIABLE_849 Xx0) (ho_2 BOUND_VARIABLE_889 Xx0)) (ho_2 BOUND_VARIABLE_891 Xx0))))) (not (ho_6 BOUND_VARIABLE_862 BOUND_VARIABLE_789)) (ho_5 (ho_4 (ho_3 BOUND_VARIABLE_849 BOUND_VARIABLE_789) (ho_2 BOUND_VARIABLE_891 BOUND_VARIABLE_789)) (ho_2 BOUND_VARIABLE_889 BOUND_VARIABLE_789))) (or (not (forall ((Xx0 tptp.b)) (or (not (ho_6 BOUND_VARIABLE_862 Xx0)) (ho_5 (ho_4 (ho_3 BOUND_VARIABLE_849 Xx0) (ho_2 BOUND_VARIABLE_846 Xx0)) (ho_2 BOUND_VARIABLE_868 Xx0))))) (not (forall ((Xx0 tptp.b)) (or (not (ho_6 BOUND_VARIABLE_862 Xx0)) (ho_5 (ho_4 (ho_3 BOUND_VARIABLE_849 Xx0) (ho_2 BOUND_VARIABLE_868 Xx0)) (ho_2 BOUND_VARIABLE_842 Xx0))))) (not (ho_6 BOUND_VARIABLE_862 BOUND_VARIABLE_812)) (ho_5 (ho_4 (ho_3 BOUND_VARIABLE_849 BOUND_VARIABLE_812) (ho_2 BOUND_VARIABLE_846 BOUND_VARIABLE_812)) (ho_2 BOUND_VARIABLE_842 BOUND_VARIABLE_812)))))))) (let ((_let_36 (not _let_34))) (let ((_let_37 (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_2 v ii) (ite (= i ii) e (ho_2 u ii)))))))))) (let ((_let_38 (forall ((x |u_(-> tptp.b tptp.a)|) (y |u_(-> tptp.b tptp.a)|)) (or (not (forall ((z tptp.b)) (= (ho_2 x z) (ho_2 y z)))) (= x y))))) (let ((_let_39 (forall ((u |u_(-> tptp.a Bool)|) (e Bool) (i tptp.a)) (not (forall ((v |u_(-> tptp.a Bool)|)) (not (forall ((ii tptp.a)) (= (ho_5 v ii) (ite (= i ii) e (ho_5 u ii)))))))))) (let ((_let_40 (forall ((x |u_(-> tptp.a Bool)|) (y |u_(-> tptp.a Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_5 x z) (ho_5 y z)))) (= x y))))) (let ((_let_41 (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_42 (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_43 (forall ((u |u_(-> tptp.b Bool)|) (e Bool) (i tptp.b)) (not (forall ((v |u_(-> tptp.b Bool)|)) (not (forall ((ii tptp.b)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_44 (forall ((x |u_(-> tptp.b Bool)|) (y |u_(-> tptp.b Bool)|)) (or (not (forall ((z tptp.b)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_45 (forall ((u |u_(-> tptp.b tptp.a tptp.a Bool)|) (e |u_(-> tptp.a tptp.a Bool)|) (i tptp.b)) (not (forall ((v |u_(-> tptp.b tptp.a tptp.a Bool)|)) (not (forall ((ii tptp.b)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_46 (forall ((x |u_(-> tptp.b tptp.a tptp.a Bool)|) (y |u_(-> tptp.b tptp.a tptp.a Bool)|)) (or (not (forall ((z tptp.b)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_47 (not _let_35))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((Xs (-> tptp.b Bool)) (Xp (-> tptp.b tptp.a tptp.a Bool)) (BOUND_VARIABLE_812 tptp.b) (BOUND_VARIABLE_810 (-> tptp.b tptp.a)) (BOUND_VARIABLE_808 (-> tptp.b tptp.a)) (BOUND_VARIABLE_806 (-> tptp.b tptp.a)) (BOUND_VARIABLE_789 tptp.b) (BOUND_VARIABLE_787 (-> tptp.b tptp.a)) (BOUND_VARIABLE_785 (-> tptp.b tptp.a))) (or (not (forall ((Xx tptp.b) (BOUND_VARIABLE_706 tptp.a) (BOUND_VARIABLE_704 tptp.a) (BOUND_VARIABLE_702 tptp.a) (BOUND_VARIABLE_694 tptp.a) (BOUND_VARIABLE_692 tptp.a)) (let ((_let_1 (@ Xp Xx))) (let ((_let_2 (@ _let_1 BOUND_VARIABLE_702))) (or (not (@ Xs Xx)) (and (or (not (@ (@ _let_1 BOUND_VARIABLE_692) BOUND_VARIABLE_694)) (@ (@ _let_1 BOUND_VARIABLE_694) BOUND_VARIABLE_692)) (or (not (@ _let_2 BOUND_VARIABLE_704)) (not (@ (@ _let_1 BOUND_VARIABLE_704) BOUND_VARIABLE_706)) (@ _let_2 BOUND_VARIABLE_706)))))))) (and (or (not (forall ((Xx0 tptp.b)) (or (not (@ Xs Xx0)) (@ (@ (@ Xp Xx0) (@ BOUND_VARIABLE_785 Xx0)) (@ BOUND_VARIABLE_787 Xx0))))) (not (@ Xs BOUND_VARIABLE_789)) (@ (@ (@ Xp BOUND_VARIABLE_789) (@ BOUND_VARIABLE_787 BOUND_VARIABLE_789)) (@ BOUND_VARIABLE_785 BOUND_VARIABLE_789))) (or (not (forall ((Xx0 tptp.b)) (or (not (@ Xs Xx0)) (@ (@ (@ Xp Xx0) (@ BOUND_VARIABLE_806 Xx0)) (@ BOUND_VARIABLE_808 Xx0))))) (not (forall ((Xx0 tptp.b)) (or (not (@ Xs Xx0)) (@ (@ (@ Xp Xx0) (@ BOUND_VARIABLE_808 Xx0)) (@ BOUND_VARIABLE_810 Xx0))))) (not (@ Xs BOUND_VARIABLE_812)) (@ (@ (@ Xp BOUND_VARIABLE_812) (@ BOUND_VARIABLE_806 BOUND_VARIABLE_812)) (@ BOUND_VARIABLE_810 BOUND_VARIABLE_812))))))) _let_47))))))) (let ((_let_49 (or))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_48) :args (_let_47))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_35))) (REFL :args (_let_36)) :args _let_49)) (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO _let_48 (PREPROCESS :args ((and _let_46 _let_45 _let_44 _let_43 _let_42 _let_41 _let_40 _let_39 _let_38 _let_37)))) :args ((and _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41 _let_40 _let_39 _let_38 _let_37))) :args (0)) :args (_let_36 true _let_35)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 0)) (CONG (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_16))) :args _let_49)) :args ((or _let_16 _let_34))) _let_50 :args (_let_16 true _let_34)))) (let ((_let_52 (_let_16))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_55 (ho_5 _let_20 _let_54))) (let ((_let_56 (or _let_23 _let_55))) (let ((_let_57 (ho_5 (ho_4 _let_19 _let_54) _let_17))) (let ((_let_58 (or _let_23 _let_57))) (let ((_let_59 (not _let_57))) (let ((_let_60 (not _let_55))) (let ((_let_61 (or _let_60 _let_59 _let_21))) (let ((_let_62 (ho_5 (ho_4 _let_19 _let_2) _let_2))) (let ((_let_63 (and (or (not _let_62) _let_62) _let_61))) (let ((_let_64 (or _let_23 _let_63))) (let ((_let_65 (REFL :args (_let_28)))) (let ((_let_66 (_let_26))) (let ((_let_67 (_let_24))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_32)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_34 1)) _let_50 :args ((not _let_32) true _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_21 _let_60 _let_59 (not _let_61)))) (REORDERING (CNF_AND_POS :args (_let_63 1)) :args ((or _let_61 (not _let_63)))) (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_23 _let_57 (not _let_58)))) (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_23 _let_55 (not _let_56)))) (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_23 _let_63 (not _let_64)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_17 _let_54 _let_18 _let_2 _let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_52)) _let_51 :args (_let_64 false _let_16)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_67) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Xx0) false))))) :args _let_67)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_66) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Xx0) false))))) :args _let_66)) (CNF_OR_NEG :args (_let_28 3)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 2)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_49)) :args ((or _let_22 _let_28))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 1)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_49)) :args ((or _let_24 _let_28))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 0)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_49)) :args ((or _let_26 _let_28))) :args (_let_28 false _let_61 false _let_57 false _let_55 false _let_63 false _let_64 false _let_58 false _let_56 true _let_21 false _let_22 false _let_24 false _let_26)) :args ((not _let_31) true _let_32 false _let_28)))) (let ((_let_69 (REFL :args (_let_31)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 1)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_49)) :args ((or _let_13 _let_31))) _let_68 :args (_let_13 true _let_31)))) (let ((_let_71 (not _let_11))) (let ((_let_72 (or _let_14 _let_9))) (let ((_let_73 (_let_29))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_12 0)) :args ((or _let_11 (not _let_12)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_8 _let_10 _let_71))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_31 2)) _let_68 :args ((not _let_8) true _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_14 _let_9 (not _let_72)))) _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_73) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Xx0) false))))) :args _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 0)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_49)) :args ((or _let_29 _let_31))) _let_68 :args (_let_29 true _let_31)) :args (_let_72 false _let_29)) :args (_let_9 false _let_13 false _let_72)) :args (_let_71 true _let_8 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_12 (not _let_15)))) _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 _let_2 _let_2 _let_2 _let_7 _let_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_52)) _let_51 :args (_let_15 false _let_16)) :args (_let_12 false _let_13 false _let_15)) :args (false true _let_11 false _let_12)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.55 )
% 0.19/0.55 % SZS output end Proof for SEV044^5
% 0.19/0.55 % cvc5---1.0.5 exiting
% 0.19/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------