TSTP Solution File: SEV148^5 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV148^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 19:21:41 EDT 2023
% Result : Theorem 0.20s 0.71s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV148^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 03:40:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TH0
% 0.20/0.49 %------------------------------------------------------------------------------
% 0.20/0.49 % File : SEV148^5 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.49 % Domain : Set Theory (Relations)
% 0.20/0.49 % Problem : TPS problem from TRANSITIVE-CLOSURE
% 0.20/0.49 % Version : Especial.
% 0.20/0.49 % English :
% 0.20/0.49
% 0.20/0.49 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.49 % Source : [Bro09]
% 0.20/0.49 % Names : tps_1186 [Bro09]
% 0.20/0.49
% 0.20/0.49 % Status : Theorem
% 0.20/0.49 % Rating : 0.27 v8.1.0, 0.33 v7.5.0, 0.50 v7.4.0, 0.33 v7.3.0, 0.40 v7.2.0, 0.38 v7.1.0, 0.43 v7.0.0, 0.50 v6.4.0, 0.57 v6.3.0, 0.50 v6.0.0, 0.33 v5.5.0, 0.40 v5.4.0, 0.50 v5.2.0, 0.75 v4.1.0, 1.00 v4.0.0
% 0.20/0.49 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.20/0.49 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.20/0.49 % Maximal formula atoms : 0 ( 0 avg)
% 0.20/0.49 % Number of connectives : 83 ( 0 ~; 4 |; 12 &; 48 @)
% 0.20/0.49 % ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% 0.20/0.49 % Maximal formula depth : 23 ( 23 avg)
% 0.20/0.49 % Number of types : 2 ( 1 usr)
% 0.20/0.49 % Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% 0.20/0.49 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.20/0.49 % Number of variables : 28 ( 0 ^; 28 !; 0 ?; 28 :)
% 0.20/0.49 % SPC : TH0_THM_NEQ_NAR
% 0.20/0.49
% 0.20/0.49 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.49 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.49 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.49 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.49 %------------------------------------------------------------------------------
% 0.20/0.49 thf(a_type,type,
% 0.20/0.49 a: $tType ).
% 0.20/0.49
% 0.20/0.49 thf(cTHM251C_pme,conjecture,
% 0.20/0.49 ! [R: a > a > $o,S: a > a > $o,Xx: a,Xy: a] :
% 0.20/0.49 ( ! [Xq: a > $o] :
% 0.20/0.49 ( ( ! [Xw: a] :
% 0.20/0.49 ( ( ! [Xq0: a > $o] :
% 0.20/0.49 ( ( ! [Xw0: a] :
% 0.20/0.49 ( ( R @ Xx @ Xw0 )
% 0.20/0.49 => ( Xq0 @ Xw0 ) )
% 0.20/0.49 & ! [Xu: a,Xv: a] :
% 0.20/0.49 ( ( ( Xq0 @ Xu )
% 0.20/0.49 & ( R @ Xu @ Xv ) )
% 0.20/0.49 => ( Xq0 @ Xv ) ) )
% 0.20/0.49 => ( Xq0 @ Xw ) )
% 0.20/0.49 | ! [Xq0: a > $o] :
% 0.20/0.49 ( ( ! [Xw0: a] :
% 0.20/0.49 ( ( S @ Xx @ Xw0 )
% 0.20/0.49 => ( Xq0 @ Xw0 ) )
% 0.20/0.49 & ! [Xu: a,Xv: a] :
% 0.20/0.49 ( ( ( Xq0 @ Xu )
% 0.20/0.49 & ( S @ Xu @ Xv ) )
% 0.20/0.49 => ( Xq0 @ Xv ) ) )
% 0.20/0.49 => ( Xq0 @ Xw ) ) )
% 0.20/0.49 => ( Xq @ Xw ) )
% 0.20/0.49 & ! [Xu: a,Xv: a] :
% 0.20/0.49 ( ( ( Xq @ Xu )
% 0.20/0.49 & ( ! [Xq0: a > $o] :
% 0.20/0.49 ( ( ! [Xw: a] :
% 0.20/0.49 ( ( R @ Xu @ Xw )
% 0.20/0.49 => ( Xq0 @ Xw ) )
% 0.20/0.49 & ! [Xu0: a,Xv0: a] :
% 0.20/0.49 ( ( ( Xq0 @ Xu0 )
% 0.20/0.49 & ( R @ Xu0 @ Xv0 ) )
% 0.20/0.49 => ( Xq0 @ Xv0 ) ) )
% 0.20/0.49 => ( Xq0 @ Xv ) )
% 0.20/0.49 | ! [Xq0: a > $o] :
% 0.20/0.49 ( ( ! [Xw: a] :
% 0.20/0.49 ( ( S @ Xu @ Xw )
% 0.20/0.49 => ( Xq0 @ Xw ) )
% 0.20/0.49 & ! [Xu0: a,Xv0: a] :
% 0.20/0.49 ( ( ( Xq0 @ Xu0 )
% 0.20/0.49 & ( S @ Xu0 @ Xv0 ) )
% 0.20/0.49 => ( Xq0 @ Xv0 ) ) )
% 0.20/0.49 => ( Xq0 @ Xv ) ) ) )
% 0.20/0.49 => ( Xq @ Xv ) ) )
% 0.20/0.49 => ( Xq @ Xy ) )
% 0.20/0.49 => ! [Xq: a > $o] :
% 0.20/0.49 ( ( ! [Xw: a] :
% 0.20/0.49 ( ( ( R @ Xx @ Xw )
% 0.20/0.49 | ( S @ Xx @ Xw ) )
% 0.20/0.49 => ( Xq @ Xw ) )
% 0.20/0.49 & ! [Xu: a,Xv: a] :
% 0.20/0.49 ( ( ( Xq @ Xu )
% 0.20/0.49 & ( ( R @ Xu @ Xv )
% 0.20/0.49 | ( S @ Xu @ Xv ) ) )
% 0.20/0.49 => ( Xq @ Xv ) ) )
% 0.20/0.49 => ( Xq @ Xy ) ) ) ).
% 0.20/0.49
% 0.20/0.49 %------------------------------------------------------------------------------
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.U2pXxiVVJT/cvc5---1.0.5_24664.p...
% 0.20/0.71 (declare-sort $$unsorted 0)
% 0.20/0.71 (declare-sort tptp.a 0)
% 0.20/0.71 (assert (not (forall ((R (-> tptp.a tptp.a Bool)) (S (-> tptp.a tptp.a Bool)) (Xx tptp.a) (Xy tptp.a)) (=> (forall ((Xq (-> tptp.a Bool))) (=> (and (forall ((Xw tptp.a)) (=> (or (forall ((Xq0 (-> tptp.a Bool))) (=> (and (forall ((Xw0 tptp.a)) (=> (@ (@ R Xx) Xw0) (@ Xq0 Xw0))) (forall ((Xu tptp.a) (Xv tptp.a)) (=> (and (@ Xq0 Xu) (@ (@ R Xu) Xv)) (@ Xq0 Xv)))) (@ Xq0 Xw))) (forall ((Xq0 (-> tptp.a Bool))) (=> (and (forall ((Xw0 tptp.a)) (=> (@ (@ S Xx) Xw0) (@ Xq0 Xw0))) (forall ((Xu tptp.a) (Xv tptp.a)) (=> (and (@ Xq0 Xu) (@ (@ S Xu) Xv)) (@ Xq0 Xv)))) (@ Xq0 Xw)))) (@ Xq Xw))) (forall ((Xu tptp.a) (Xv tptp.a)) (=> (and (@ Xq Xu) (or (forall ((Xq0 (-> tptp.a Bool))) (=> (and (forall ((Xw tptp.a)) (=> (@ (@ R Xu) Xw) (@ Xq0 Xw))) (forall ((Xu0 tptp.a) (Xv0 tptp.a)) (=> (and (@ Xq0 Xu0) (@ (@ R Xu0) Xv0)) (@ Xq0 Xv0)))) (@ Xq0 Xv))) (forall ((Xq0 (-> tptp.a Bool))) (=> (and (forall ((Xw tptp.a)) (=> (@ (@ S Xu) Xw) (@ Xq0 Xw))) (forall ((Xu0 tptp.a) (Xv0 tptp.a)) (=> (and (@ Xq0 Xu0) (@ (@ S Xu0) Xv0)) (@ Xq0 Xv0)))) (@ Xq0 Xv))))) (@ Xq Xv)))) (@ Xq Xy))) (forall ((Xq (-> tptp.a Bool))) (=> (and (forall ((Xw tptp.a)) (=> (or (@ (@ R Xx) Xw) (@ (@ S Xx) Xw)) (@ Xq Xw))) (forall ((Xu tptp.a) (Xv tptp.a)) (=> (and (@ Xq Xu) (or (@ (@ R Xu) Xv) (@ (@ S Xu) Xv))) (@ Xq Xv)))) (@ Xq Xy)))))))
% 0.20/0.71 (set-info :filename cvc5---1.0.5_24664)
% 0.20/0.71 (check-sat-assuming ( true ))
% 0.20/0.71 ------- get file name : TPTP file name is SEV148^5
% 0.20/0.71 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24664.smt2...
% 0.20/0.71 --- Run --ho-elim --full-saturate-quant at 10...
% 0.20/0.71 % SZS status Theorem for SEV148^5
% 0.20/0.71 % SZS output start Proof for SEV148^5
% 0.20/0.71 (
% 0.20/0.71 (let ((_let_1 (not (forall ((R (-> tptp.a tptp.a Bool)) (S (-> tptp.a tptp.a Bool)) (Xx tptp.a) (Xy tptp.a)) (=> (forall ((Xq (-> tptp.a Bool))) (=> (and (forall ((Xw tptp.a)) (=> (or (forall ((Xq0 (-> tptp.a Bool))) (=> (and (forall ((Xw0 tptp.a)) (=> (@ (@ R Xx) Xw0) (@ Xq0 Xw0))) (forall ((Xu tptp.a) (Xv tptp.a)) (=> (and (@ Xq0 Xu) (@ (@ R Xu) Xv)) (@ Xq0 Xv)))) (@ Xq0 Xw))) (forall ((Xq0 (-> tptp.a Bool))) (=> (and (forall ((Xw0 tptp.a)) (=> (@ (@ S Xx) Xw0) (@ Xq0 Xw0))) (forall ((Xu tptp.a) (Xv tptp.a)) (=> (and (@ Xq0 Xu) (@ (@ S Xu) Xv)) (@ Xq0 Xv)))) (@ Xq0 Xw)))) (@ Xq Xw))) (forall ((Xu tptp.a) (Xv tptp.a)) (=> (and (@ Xq Xu) (or (forall ((Xq0 (-> tptp.a Bool))) (=> (and (forall ((Xw tptp.a)) (=> (@ (@ R Xu) Xw) (@ Xq0 Xw))) (forall ((Xu0 tptp.a) (Xv0 tptp.a)) (=> (and (@ Xq0 Xu0) (@ (@ R Xu0) Xv0)) (@ Xq0 Xv0)))) (@ Xq0 Xv))) (forall ((Xq0 (-> tptp.a Bool))) (=> (and (forall ((Xw tptp.a)) (=> (@ (@ S Xu) Xw) (@ Xq0 Xw))) (forall ((Xu0 tptp.a) (Xv0 tptp.a)) (=> (and (@ Xq0 Xu0) (@ (@ S Xu0) Xv0)) (@ Xq0 Xv0)))) (@ Xq0 Xv))))) (@ Xq Xv)))) (@ Xq Xy))) (forall ((Xq (-> tptp.a Bool))) (=> (and (forall ((Xw tptp.a)) (=> (or (@ (@ R Xx) Xw) (@ (@ S Xx) Xw)) (@ Xq Xw))) (forall ((Xu tptp.a) (Xv tptp.a)) (=> (and (@ Xq Xu) (or (@ (@ R Xu) Xv) (@ (@ S Xu) Xv))) (@ Xq Xv)))) (@ Xq Xy)))))))) (let ((_let_2 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_3 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53))) (let ((_let_4 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_5 (ho_2 _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53))) (let ((_let_6 (not _let_5))) (let ((_let_7 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30))) (let ((_let_8 (and (not (ho_2 _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53)) _let_6))) (let ((_let_9 (not _let_2))) (let ((_let_10 (or _let_9 _let_8 _let_3))) (let ((_let_11 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))) (let ((_let_12 (forall ((BOUND_VARIABLE_913 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw tptp.a)) (or (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30) Xw)) (ho_2 BOUND_VARIABLE_913 Xw)))) (not (forall ((Xu0 tptp.a) (Xv0 tptp.a)) (or (not (ho_2 BOUND_VARIABLE_913 Xu0)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xu0) Xv0)) (ho_2 BOUND_VARIABLE_913 Xv0)))) (ho_2 BOUND_VARIABLE_913 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))))) (let ((_let_13 (not _let_12))) (let ((_let_14 (forall ((BOUND_VARIABLE_935 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw tptp.a)) (or (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30) Xw)) (ho_2 BOUND_VARIABLE_935 Xw)))) (not (forall ((Xu0 tptp.a) (Xv0 tptp.a)) (or (not (ho_2 BOUND_VARIABLE_935 Xu0)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xu0) Xv0)) (ho_2 BOUND_VARIABLE_935 Xv0)))) (ho_2 BOUND_VARIABLE_935 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31))))) (let ((_let_15 (not _let_14))) (let ((_let_16 (and _let_15 _let_13))) (let ((_let_17 (or _let_9 _let_16 _let_11))) (let ((_let_18 (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xu)) (and (not (forall ((BOUND_VARIABLE_935 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw tptp.a)) (or (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xu) Xw)) (ho_2 BOUND_VARIABLE_935 Xw)))) (not (forall ((Xu0 tptp.a) (Xv0 tptp.a)) (or (not (ho_2 BOUND_VARIABLE_935 Xu0)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xu0) Xv0)) (ho_2 BOUND_VARIABLE_935 Xv0)))) (ho_2 BOUND_VARIABLE_935 Xv)))) (not (forall ((BOUND_VARIABLE_913 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw tptp.a)) (or (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xu) Xw)) (ho_2 BOUND_VARIABLE_913 Xw)))) (not (forall ((Xu0 tptp.a) (Xv0 tptp.a)) (or (not (ho_2 BOUND_VARIABLE_913 Xu0)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xu0) Xv0)) (ho_2 BOUND_VARIABLE_913 Xv0)))) (ho_2 BOUND_VARIABLE_913 Xv))))) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xv))))) (let ((_let_19 (not _let_17))) (let ((_let_20 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_21 (not _let_18))) (let ((_let_22 (forall ((Xw tptp.a)) (or (and (not (forall ((BOUND_VARIABLE_985 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw0 tptp.a)) (or (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) Xw0)) (ho_2 BOUND_VARIABLE_985 Xw0)))) (not (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (ho_2 BOUND_VARIABLE_985 Xu)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xu) Xv)) (ho_2 BOUND_VARIABLE_985 Xv)))) (ho_2 BOUND_VARIABLE_985 Xw)))) (not (forall ((BOUND_VARIABLE_964 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw0 tptp.a)) (or (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) Xw0)) (ho_2 BOUND_VARIABLE_964 Xw0)))) (not (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (ho_2 BOUND_VARIABLE_964 Xu)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xu) Xv)) (ho_2 BOUND_VARIABLE_964 Xv)))) (ho_2 BOUND_VARIABLE_964 Xw))))) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xw))))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21 _let_20))) (let ((_let_25 (forall ((BOUND_VARIABLE_910 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw tptp.a)) (or (and (not (forall ((BOUND_VARIABLE_985 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw0 tptp.a)) (or (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) Xw0)) (ho_2 BOUND_VARIABLE_985 Xw0)))) (not (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (ho_2 BOUND_VARIABLE_985 Xu)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xu) Xv)) (ho_2 BOUND_VARIABLE_985 Xv)))) (ho_2 BOUND_VARIABLE_985 Xw)))) (not (forall ((BOUND_VARIABLE_964 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw0 tptp.a)) (or (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) Xw0)) (ho_2 BOUND_VARIABLE_964 Xw0)))) (not (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (ho_2 BOUND_VARIABLE_964 Xu)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xu) Xv)) (ho_2 BOUND_VARIABLE_964 Xv)))) (ho_2 BOUND_VARIABLE_964 Xw))))) (ho_2 BOUND_VARIABLE_910 Xw)))) (not (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (ho_2 BOUND_VARIABLE_910 Xu)) (and (not (forall ((BOUND_VARIABLE_935 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw tptp.a)) (or (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xu) Xw)) (ho_2 BOUND_VARIABLE_935 Xw)))) (not (forall ((Xu0 tptp.a) (Xv0 tptp.a)) (or (not (ho_2 BOUND_VARIABLE_935 Xu0)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xu0) Xv0)) (ho_2 BOUND_VARIABLE_935 Xv0)))) (ho_2 BOUND_VARIABLE_935 Xv)))) (not (forall ((BOUND_VARIABLE_913 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw tptp.a)) (or (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xu) Xw)) (ho_2 BOUND_VARIABLE_913 Xw)))) (not (forall ((Xu0 tptp.a) (Xv0 tptp.a)) (or (not (ho_2 BOUND_VARIABLE_913 Xu0)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xu0) Xv0)) (ho_2 BOUND_VARIABLE_913 Xv0)))) (ho_2 BOUND_VARIABLE_913 Xv))))) (ho_2 BOUND_VARIABLE_910 Xv)))) (ho_2 BOUND_VARIABLE_910 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_26 (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xu)) (and (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xu) Xv)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xu) Xv))) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xv))))) (let ((_let_27 (not _let_26))) (let ((_let_28 (forall ((Xw tptp.a)) (or (and (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) Xw)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) Xw))) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xw))))) (let ((_let_29 (not _let_28))) (let ((_let_30 (not _let_25))) (let ((_let_31 (or _let_30 _let_29 _let_27 _let_20))) (let ((_let_32 (forall ((BOUND_VARIABLE_889 |u_(-> tptp.a tptp.a Bool)|) (BOUND_VARIABLE_883 |u_(-> tptp.a tptp.a Bool)|) (Xx tptp.a) (Xy tptp.a) (BOUND_VARIABLE_877 |u_(-> tptp.a Bool)|)) (or (not (forall ((BOUND_VARIABLE_910 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw tptp.a)) (or (and (not (forall ((BOUND_VARIABLE_985 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw0 tptp.a)) (or (not (ho_2 (ho_3 BOUND_VARIABLE_889 Xx) Xw0)) (ho_2 BOUND_VARIABLE_985 Xw0)))) (not (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (ho_2 BOUND_VARIABLE_985 Xu)) (not (ho_2 (ho_3 BOUND_VARIABLE_889 Xu) Xv)) (ho_2 BOUND_VARIABLE_985 Xv)))) (ho_2 BOUND_VARIABLE_985 Xw)))) (not (forall ((BOUND_VARIABLE_964 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw0 tptp.a)) (or (not (ho_2 (ho_3 BOUND_VARIABLE_883 Xx) Xw0)) (ho_2 BOUND_VARIABLE_964 Xw0)))) (not (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (ho_2 BOUND_VARIABLE_964 Xu)) (not (ho_2 (ho_3 BOUND_VARIABLE_883 Xu) Xv)) (ho_2 BOUND_VARIABLE_964 Xv)))) (ho_2 BOUND_VARIABLE_964 Xw))))) (ho_2 BOUND_VARIABLE_910 Xw)))) (not (forall ((Xu tptp.a) (Xv tptp.a)) (or (not (ho_2 BOUND_VARIABLE_910 Xu)) (and (not (forall ((BOUND_VARIABLE_935 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw tptp.a)) (or (not (ho_2 (ho_3 BOUND_VARIABLE_889 Xu) Xw)) (ho_2 BOUND_VARIABLE_935 Xw)))) (not (forall ((Xu0 tptp.a) (Xv0 tptp.a)) (or (not (ho_2 BOUND_VARIABLE_935 Xu0)) (not (ho_2 (ho_3 BOUND_VARIABLE_889 Xu0) Xv0)) (ho_2 BOUND_VARIABLE_935 Xv0)))) (ho_2 BOUND_VARIABLE_935 Xv)))) (not (forall ((BOUND_VARIABLE_913 |u_(-> tptp.a Bool)|)) (or (not (forall ((Xw tptp.a)) (or (not (ho_2 (ho_3 BOUND_VARIABLE_883 Xu) Xw)) (ho_2 BOUND_VARIABLE_913 Xw)))) (not (forall ((Xu0 tptp.a) (Xv0 tptp.a)) (or (not (ho_2 BOUND_VARIABLE_913 Xu0)) (not (ho_2 (ho_3 BOUND_VARIABLE_883 Xu0) Xv0)) (ho_2 BOUND_VARIABLE_913 Xv0)))) (ho_2 BOUND_VARIABLE_913 Xv))))) (ho_2 BOUND_VARIABLE_910 Xv)))) (ho_2 BOUND_VARIABLE_910 Xy)))) (not (forall ((Xw tptp.a)) (or (and (not (ho_2 (ho_3 BOUND_VARIABLE_889 Xx) Xw)) (not 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(Xv tptp.a)) (or (not (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xu)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xu) Xv)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xv))))) (let ((_let_57 (forall ((Xw0 tptp.a)) (or (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) Xw0)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xw0))))) (let ((_let_58 (not _let_56))) (let ((_let_59 (not _let_57))) (let ((_let_60 (or _let_59 _let_58 _let_44))) (let ((_let_61 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_62 (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_18))) (let ((_let_63 (not _let_62))) (let ((_let_64 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63 _let_61))) (let ((_let_67 (and _let_63 (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 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(ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_81 (and _let_78 (not (ho_2 _let_80 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))))) (let ((_let_82 (or _let_81 _let_75))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 1)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_40)) :args ((or _let_28 _let_31))) _let_41 :args (_let_28 true _let_31)))) (let ((_let_84 (_let_28))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (_let_54))) (let ((_let_87 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_88 (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_89 (not _let_88))) (let ((_let_90 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_89 _let_87))) (let ((_let_93 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(IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_109)) :args _let_109)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_18))) (REFL :args (_let_19)) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_20 _let_23 _let_21 (not _let_24)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_31 3)) _let_41 :args ((not _let_20) true _let_31)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_108)) :args _let_108)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) (REFL :args ((not _let_50))) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_107) (CONG (REFL :args _let_107) (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_40)) :args ((or _let_47 _let_45 _let_49))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_106) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 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(_let_82 false _let_28)) (REORDERING (CNF_AND_POS :args (_let_81 0)) :args ((or _let_78 (not _let_81)))) (CNF_OR_NEG :args (_let_79 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_79 0)) (CONG (REFL :args (_let_79)) (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_77))) :args _let_40)) :args ((or _let_77 _let_79))) :args (_let_79 false _let_82 true _let_81 true _let_75 false _let_77)) :args (_let_52 false _let_79)) _let_74 (CNF_OR_NEG :args (_let_50 1)) (CNF_OR_NEG :args (_let_50 0)) :args (_let_50 true _let_45 true _let_47 true _let_60 false _let_57 false _let_56 true _let_55 false _let_52 false _let_51 true _let_44 true _let_49)) :args (_let_22 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_43) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_2 BOUND_VARIABLE_910 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) true))))) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 0)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_25))) :args _let_40)) :args ((or _let_25 _let_31))) _let_41 :args (_let_25 true _let_31)) :args (_let_24 false _let_25)) :args (_let_21 true _let_20 false _let_22 false _let_24)) :args (_let_19 true _let_18)))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_17 0)) (CONG (REFL :args (_let_17)) (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_2))) :args _let_40)) :args ((or _let_2 _let_17))) _let_110 :args (_let_2 true _let_17)))) (let ((_let_112 (or _let_6 _let_3))) (let ((_let_113 (forall ((Xw tptp.a)) (or (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30) Xw)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xw))))) (let ((_let_114 (not _let_112))) (let ((_let_115 (forall ((Xu0 tptp.a) (Xv0 tptp.a)) (or (not (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xu0)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 Xu0) Xv0)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xv0))))) (let ((_let_116 (not _let_115))) (let ((_let_117 (not _let_113))) (let ((_let_118 (or _let_117 _let_116 _let_11))) (let ((_let_119 (forall ((Xu0 tptp.a) (Xv0 tptp.a)) (or (not (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xu0)) (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 Xu0) Xv0)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xv0))))) (let ((_let_120 (not _let_119))) (let ((_let_121 (forall ((Xw tptp.a)) (or (not (ho_2 (ho_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30) Xw)) (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 Xw))))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_122 _let_120 _let_11))) (let ((_let_124 (not _let_123))) (let ((_let_125 (ho_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41))) (let ((_let_126 (ho_2 _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41))) (let ((_let_127 (not _let_126))) (let ((_let_128 (or _let_127 _let_125))) (let ((_let_129 (and _let_127 (not (ho_2 _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41))))) (let ((_let_130 (or _let_9 _let_129 _let_125))) (let ((_let_131 (_let_122))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_17 2)) _let_110 :args ((not _let_11) true _let_17)))) (let ((_let_133 (_let_14))) (let ((_let_134 (_let_16))) (let ((_let_135 (_let_12))) (let ((_let_136 (_let_117))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_136)) :args _let_136)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_117) _let_113))) (REFL :args (_let_114)) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_11 _let_117 _let_116 (not _let_118)))) _let_132 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_56 (= Xv Xv0) (= Xu Xu0)))) _let_97 :args (_let_115 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_135) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_2 BOUND_VARIABLE_913 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31) true))))) :args _let_135)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_134) (CONG (REFL :args _let_134) (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_40)) :args ((or _let_14 _let_12 _let_16))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_133) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (ho_2 BOUND_VARIABLE_935 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_31) true))))) :args _let_133)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_11 _let_122 _let_120 _let_124))) _let_132 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_131)) :args _let_131)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_122) _let_121))) (REFL :args ((not _let_128))) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_9 _let_125 _let_129 (not _let_130)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_71)) _let_70 :args (_let_130 false _let_26)) _let_111 (REORDERING (CNF_AND_POS :args (_let_129 0)) :args ((or _let_127 (not _let_129)))) (CNF_OR_NEG :args (_let_128 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_128 0)) (CONG (REFL :args (_let_128)) (MACRO_SR_PRED_INTRO :args ((= (not _let_127) _let_126))) :args _let_40)) :args ((or _let_126 _let_128))) :args (_let_128 false _let_130 false _let_2 true _let_129 true _let_125 false _let_126)) :args (_let_121 false _let_128)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_51 (= Xv Xv0) (= Xu Xu0)))) _let_74 :args (_let_119 false _let_51)) :args (_let_124 true _let_11 false _let_121 false _let_119)) :args (_let_15 true _let_123)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_17 1)) _let_110 :args ((not _let_16) true _let_17)) :args (_let_12 true _let_14 true _let_16)) :args (_let_118 false _let_12)) :args (_let_117 true _let_11 false _let_115 false _let_118)) :args (_let_114 true _let_113)))) (let ((_let_138 (not _let_8))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_9 _let_3 _let_8 (not _let_10)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_71)) _let_70 :args (_let_10 false _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_8 1)) :args ((or _let_6 _let_138))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_112 0)) (CONG (REFL :args (_let_112)) (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) :args _let_40)) :args ((or _let_5 _let_112))) _let_137 :args (_let_5 true _let_112)) :args (_let_138 false _let_5)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_112 1)) _let_137 :args ((not _let_3) true _let_112)) _let_111 :args (false false _let_10 true _let_8 true _let_3 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.72 )
% 0.20/0.72 % SZS output end Proof for SEV148^5
% 0.20/0.72 % cvc5---1.0.5 exiting
% 0.20/0.72 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------