TSTP Solution File: PUZ047^5 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : PUZ047^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 13:13:07 EDT 2023
% Result : Theorem 0.59s 0.77s
% Output : Proof 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : PUZ047^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 22:51:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.49 %----Proving TH0
% 0.22/0.50 %------------------------------------------------------------------------------
% 0.22/0.50 % File : PUZ047^5 : TPTP v8.1.2. Released v4.0.0.
% 0.22/0.50 % Domain : Puzzles
% 0.22/0.50 % Problem : TPS problem THM100A
% 0.22/0.50 % Version : Especial.
% 0.22/0.50 % English : A naive formalization of the problem of moving man wolf goat
% 0.22/0.50 % cabbage from south to north side of river.
% 0.22/0.50
% 0.22/0.50 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.22/0.50 % Source : [Bro09]
% 0.22/0.50 % Names : tps_0543 [Bro09]
% 0.22/0.50 % : tps_0544 [Bro09]
% 0.22/0.50 % : tps_0545 [Bro09]
% 0.22/0.50 % : tps_0427 [Bro09]
% 0.22/0.50 % : THM100 [TPS]
% 0.22/0.50 % : THM100A [TPS]
% 0.22/0.50 % : THM100B [TPS]
% 0.22/0.50 % : THM100-TPS2 [TPS]
% 0.22/0.50
% 0.22/0.50 % Status : Theorem
% 0.22/0.50 % Rating : 0.27 v8.1.0, 0.25 v7.4.0, 0.22 v7.3.0, 0.20 v7.2.0, 0.25 v7.1.0, 0.29 v7.0.0, 0.25 v6.4.0, 0.29 v6.3.0, 0.33 v6.2.0, 0.17 v6.1.0, 0.33 v6.0.0, 0.17 v5.5.0, 0.00 v5.3.0, 0.25 v5.2.0, 0.00 v4.0.1, 0.33 v4.0.0
% 0.22/0.50 % Syntax : Number of formulae : 11 ( 0 unt; 10 typ; 0 def)
% 0.22/0.50 % Number of atoms : 30 ( 0 equ; 0 cnn)
% 0.22/0.50 % Maximal formula atoms : 30 ( 30 avg)
% 0.22/0.50 % Number of connectives : 193 ( 0 ~; 0 |; 14 &; 164 @)
% 0.22/0.50 % ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% 0.22/0.50 % Maximal formula depth : 23 ( 23 avg)
% 0.22/0.50 % Number of types : 3 ( 2 usr)
% 0.22/0.50 % Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% 0.22/0.50 % Number of symbols : 8 ( 8 usr; 3 con; 0-5 aty)
% 0.22/0.50 % Number of variables : 19 ( 0 ^; 18 !; 1 ?; 19 :)
% 0.22/0.50 % SPC : TH0_THM_NEQ_NAR
% 0.22/0.50
% 0.22/0.50 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.22/0.50 % project in the Department of Mathematical Sciences at Carnegie
% 0.22/0.50 % Mellon University. Distributed under the Creative Commons copyleft
% 0.22/0.50 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.22/0.50 %------------------------------------------------------------------------------
% 0.22/0.50 thf(a_type,type,
% 0.22/0.50 a: $tType ).
% 0.22/0.50
% 0.22/0.50 thf(b_type,type,
% 0.22/0.50 b: $tType ).
% 0.22/0.50
% 0.22/0.50 thf(cN,type,
% 0.22/0.50 cN: a ).
% 0.22/0.50
% 0.22/0.50 thf(cP,type,
% 0.22/0.50 cP: a > a > a > a > b > $o ).
% 0.22/0.50
% 0.22/0.50 thf(cD,type,
% 0.22/0.50 cD: b > b ).
% 0.22/0.50
% 0.22/0.50 thf(cS,type,
% 0.22/0.50 cS: a ).
% 0.22/0.50
% 0.22/0.50 thf(cG,type,
% 0.22/0.50 cG: b > b ).
% 0.22/0.50
% 0.22/0.50 thf(cW,type,
% 0.22/0.50 cW: b > b ).
% 0.22/0.50
% 0.22/0.50 thf(cL,type,
% 0.22/0.50 cL: b > b ).
% 0.22/0.50
% 0.22/0.50 thf(cO,type,
% 0.22/0.50 cO: b ).
% 0.22/0.50
% 0.22/0.50 thf(cTHM100A,conjecture,
% 0.22/0.50 ( ( ( cP @ cS @ cS @ cS @ cS @ cO )
% 0.22/0.50 & ! [T: b] :
% 0.22/0.50 ( ( cP @ cS @ cN @ cS @ cN @ T )
% 0.22/0.50 => ( cP @ cN @ cN @ cS @ cN @ ( cL @ T ) ) )
% 0.22/0.50 & ! [T1: b] :
% 0.22/0.50 ( ( cP @ cN @ cN @ cS @ cN @ T1 )
% 0.22/0.50 => ( cP @ cS @ cN @ cS @ cN @ ( cL @ T1 ) ) )
% 0.22/0.50 & ! [T2: b] :
% 0.22/0.50 ( ( cP @ cS @ cS @ cN @ cS @ T2 )
% 0.22/0.50 => ( cP @ cN @ cS @ cN @ cS @ ( cL @ T2 ) ) )
% 0.22/0.50 & ! [T3: b] :
% 0.22/0.50 ( ( cP @ cN @ cS @ cN @ cS @ T3 )
% 0.22/0.50 => ( cP @ cS @ cS @ cN @ cS @ ( cL @ T3 ) ) )
% 0.22/0.50 & ! [T4: b] :
% 0.22/0.50 ( ( cP @ cS @ cS @ cS @ cN @ T4 )
% 0.22/0.50 => ( cP @ cN @ cN @ cS @ cN @ ( cW @ T4 ) ) )
% 0.22/0.50 & ! [T5: b] :
% 0.22/0.50 ( ( cP @ cN @ cN @ cS @ cN @ T5 )
% 0.22/0.50 => ( cP @ cS @ cS @ cS @ cN @ ( cW @ T5 ) ) )
% 0.22/0.50 & ! [T6: b] :
% 0.22/0.50 ( ( cP @ cS @ cS @ cN @ cS @ T6 )
% 0.22/0.50 => ( cP @ cN @ cN @ cN @ cS @ ( cW @ T6 ) ) )
% 0.22/0.50 & ! [T7: b] :
% 0.22/0.50 ( ( cP @ cN @ cN @ cN @ cS @ T7 )
% 0.22/0.50 => ( cP @ cS @ cS @ cN @ cS @ ( cW @ T7 ) ) )
% 0.22/0.50 & ! [X: a,Y: a,U: b] :
% 0.22/0.50 ( ( cP @ cS @ X @ cS @ Y @ U )
% 0.22/0.50 => ( cP @ cN @ X @ cN @ Y @ ( cG @ U ) ) )
% 0.22/0.50 & ! [X1: a,Y1: a,V: b] :
% 0.22/0.50 ( ( cP @ cN @ X1 @ cN @ Y1 @ V )
% 0.22/0.50 => ( cP @ cS @ X1 @ cS @ Y1 @ ( cG @ V ) ) )
% 0.22/0.50 & ! [T8: b] :
% 0.22/0.50 ( ( cP @ cS @ cN @ cS @ cS @ T8 )
% 0.22/0.50 => ( cP @ cN @ cN @ cS @ cN @ ( cD @ T8 ) ) )
% 0.22/0.50 & ! [T9: b] :
% 0.22/0.50 ( ( cP @ cN @ cN @ cS @ cN @ T9 )
% 0.22/0.50 => ( cP @ cS @ cN @ cS @ cS @ ( cD @ T9 ) ) )
% 0.22/0.50 & ! [U1: b] :
% 0.22/0.50 ( ( cP @ cS @ cS @ cN @ cS @ U1 )
% 0.22/0.50 => ( cP @ cN @ cS @ cN @ cN @ ( cD @ U1 ) ) )
% 0.22/0.50 & ! [V1: b] :
% 0.22/0.50 ( ( cP @ cN @ cS @ cN @ cN @ V1 )
% 0.22/0.50 => ( cP @ cS @ cS @ cN @ cS @ ( cD @ V1 ) ) ) )
% 0.22/0.50 => ? [Z: b] : ( cP @ cN @ cN @ cN @ cN @ Z ) ) ).
% 0.59/0.77
% 0.59/0.77 %------------------------------------------------------------------------------
% 0.59/0.77 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Zrrii145rr/cvc5---1.0.5_29526.p...
% 0.59/0.77 (declare-sort $$unsorted 0)
% 0.59/0.77 (declare-sort tptp.a 0)
% 0.59/0.77 (declare-sort tptp.b 0)
% 0.59/0.77 (declare-fun tptp.cN () tptp.a)
% 0.59/0.77 (declare-fun tptp.cP (tptp.a tptp.a tptp.a tptp.a tptp.b) Bool)
% 0.59/0.77 (declare-fun tptp.cD (tptp.b) tptp.b)
% 0.59/0.77 (declare-fun tptp.cS () tptp.a)
% 0.59/0.77 (declare-fun tptp.cG (tptp.b) tptp.b)
% 0.59/0.77 (declare-fun tptp.cW (tptp.b) tptp.b)
% 0.59/0.77 (declare-fun tptp.cL (tptp.b) tptp.b)
% 0.59/0.77 (declare-fun tptp.cO () tptp.b)
% 0.59/0.77 (assert (not (=> (and (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cS) tptp.cS) tptp.cS) tptp.cO) (forall ((T tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cN) tptp.cS) tptp.cN) T) (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cN) tptp.cS) tptp.cN) (@ tptp.cL T)))) (forall ((T1 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cN) tptp.cS) tptp.cN) T1) (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cN) tptp.cS) tptp.cN) (@ tptp.cL T1)))) (forall ((T2 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cS) tptp.cN) tptp.cS) T2) (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cS) tptp.cN) tptp.cS) (@ tptp.cL T2)))) (forall ((T3 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cS) tptp.cN) tptp.cS) T3) (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cS) tptp.cN) tptp.cS) (@ tptp.cL T3)))) (forall ((T4 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cS) tptp.cS) tptp.cN) T4) (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cN) tptp.cS) tptp.cN) (@ tptp.cW T4)))) (forall ((T5 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cN) tptp.cS) tptp.cN) T5) (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cS) tptp.cS) tptp.cN) (@ tptp.cW T5)))) (forall ((T6 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cS) tptp.cN) tptp.cS) T6) (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cN) tptp.cN) tptp.cS) (@ tptp.cW T6)))) (forall ((T7 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cN) tptp.cN) tptp.cS) T7) (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cS) tptp.cN) tptp.cS) (@ tptp.cW T7)))) (forall ((X tptp.a) (Y tptp.a) (U tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cS) X) tptp.cS) Y) U) (@ (@ (@ (@ (@ tptp.cP tptp.cN) X) tptp.cN) Y) (@ tptp.cG U)))) (forall ((X1 tptp.a) (Y1 tptp.a) (V tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cN) X1) tptp.cN) Y1) V) (@ (@ (@ (@ (@ tptp.cP tptp.cS) X1) tptp.cS) Y1) (@ tptp.cG V)))) (forall ((T8 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cN) tptp.cS) tptp.cS) T8) (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cN) tptp.cS) tptp.cN) (@ tptp.cD T8)))) (forall ((T9 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cN) tptp.cS) tptp.cN) T9) (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cN) tptp.cS) tptp.cS) (@ tptp.cD T9)))) (forall ((U1 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cS) tptp.cN) tptp.cS) U1) (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cS) tptp.cN) tptp.cN) (@ tptp.cD U1)))) (forall ((V1 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cS) tptp.cN) tptp.cN) V1) (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cS) tptp.cN) tptp.cS) (@ tptp.cD V1))))) (exists ((Z tptp.b)) (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cN) tptp.cN) tptp.cN) Z)))))
% 0.59/0.77 (set-info :filename cvc5---1.0.5_29526)
% 0.59/0.77 (check-sat-assuming ( true ))
% 0.59/0.77 ------- get file name : TPTP file name is PUZ047^5
% 0.59/0.77 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29526.smt2...
% 0.59/0.77 --- Run --ho-elim --full-saturate-quant at 10...
% 0.59/0.77 % SZS status Theorem for PUZ047^5
% 0.59/0.77 % SZS output start Proof for PUZ047^5
% 0.59/0.77 (
% 0.59/0.77 (let ((_let_1 (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cS) tptp.cS) tptp.cS) tptp.cO))) (let ((_let_2 (not (=> (and _let_1 (forall ((T tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cN) tptp.cS) tptp.cN) T) (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cN) tptp.cS) tptp.cN) (@ tptp.cL T)))) (forall ((T1 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cN) tptp.cS) tptp.cN) T1) (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cN) tptp.cS) tptp.cN) (@ tptp.cL T1)))) (forall ((T2 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cS) tptp.cN) tptp.cS) T2) (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cS) tptp.cN) tptp.cS) (@ tptp.cL T2)))) (forall ((T3 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cS) tptp.cN) tptp.cS) T3) (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cS) tptp.cN) tptp.cS) (@ tptp.cL T3)))) (forall ((T4 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cS) tptp.cS) tptp.cN) T4) (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cN) tptp.cS) tptp.cN) (@ tptp.cW T4)))) (forall ((T5 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cN) tptp.cS) tptp.cN) T5) (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cS) tptp.cS) tptp.cN) (@ tptp.cW T5)))) (forall ((T6 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cS) tptp.cN) tptp.cS) T6) (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cN) tptp.cN) tptp.cS) (@ tptp.cW T6)))) (forall ((T7 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cN) tptp.cN) tptp.cS) T7) (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cS) tptp.cN) tptp.cS) (@ tptp.cW T7)))) (forall ((X tptp.a) (Y tptp.a) (U tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cS) X) tptp.cS) Y) U) (@ (@ (@ (@ (@ tptp.cP tptp.cN) X) tptp.cN) Y) (@ tptp.cG U)))) (forall ((X1 tptp.a) (Y1 tptp.a) (V tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cN) X1) tptp.cN) Y1) V) (@ (@ (@ (@ (@ tptp.cP tptp.cS) X1) tptp.cS) Y1) (@ tptp.cG V)))) (forall ((T8 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cN) tptp.cS) tptp.cS) T8) (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cN) tptp.cS) tptp.cN) (@ tptp.cD T8)))) (forall ((T9 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cN) tptp.cS) tptp.cN) T9) (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cN) tptp.cS) tptp.cS) (@ tptp.cD T9)))) (forall ((U1 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cS) tptp.cN) tptp.cS) U1) (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cS) tptp.cN) tptp.cN) (@ tptp.cD U1)))) (forall ((V1 tptp.b)) (=> (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cS) tptp.cN) tptp.cN) V1) (@ (@ (@ (@ (@ tptp.cP tptp.cS) tptp.cS) tptp.cN) tptp.cS) (@ tptp.cD V1))))) (exists ((Z tptp.b)) (@ (@ (@ (@ (@ tptp.cP tptp.cN) tptp.cN) tptp.cN) tptp.cN) Z)))))) (let ((_let_3 (forall ((Z tptp.b)) (not (ho_7 (ho_6 (ho_5 (ho_4 (ho_3 k_2 tptp.cN) tptp.cN) tptp.cN) tptp.cN) Z))))) (let ((_let_4 (ho_9 k_10 tptp.cO))) (let ((_let_5 (ho_9 k_12 _let_4))) (let ((_let_6 (ho_9 k_11 _let_5))) (let ((_let_7 (ho_9 k_10 _let_6))) (let ((_let_8 (ho_9 k_8 _let_7))) (let ((_let_9 (ho_9 k_12 _let_8))) (let ((_let_10 (ho_9 k_10 _let_9))) (let ((_let_11 (ho_3 k_2 tptp.cN))) (let ((_let_12 (ho_4 _let_11 tptp.cN))) (let ((_let_13 (ho_5 _let_12 tptp.cN))) (let ((_let_14 (ho_7 (ho_6 _let_13 tptp.cN) _let_10))) (let ((_let_15 (0))) (let ((_let_16 (forall ((u |u_(-> tptp.b Bool)|) (e Bool) (i tptp.b)) (not (forall ((v |u_(-> tptp.b Bool)|)) (not (forall ((ii tptp.b)) (= (ho_7 v ii) (ite (= i ii) e (ho_7 u ii)))))))))) (let ((_let_17 (forall ((x |u_(-> tptp.b Bool)|) (y |u_(-> tptp.b Bool)|)) (or (not (forall ((z tptp.b)) (= (ho_7 x z) (ho_7 y z)))) (= x y))))) (let ((_let_18 (forall ((u |u_(-> tptp.a tptp.b Bool)|) (e |u_(-> tptp.b Bool)|) (i tptp.a)) (not (forall ((v |u_(-> tptp.a tptp.b Bool)|)) (not (forall ((ii tptp.a)) (= (ho_6 v ii) (ite (= i ii) e (ho_6 u ii)))))))))) (let ((_let_19 (forall ((x |u_(-> tptp.a tptp.b Bool)|) (y |u_(-> tptp.a tptp.b Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_6 x z) (ho_6 y z)))) (= x y))))) (let ((_let_20 (forall ((u |u_(-> tptp.a tptp.a tptp.b Bool)|) (e |u_(-> tptp.a tptp.b Bool)|) (i tptp.a)) (not (forall ((v |u_(-> tptp.a tptp.a tptp.b Bool)|)) (not (forall ((ii tptp.a)) (= 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tptp.a tptp.a tptp.b Bool)|) (y |u_(-> tptp.a tptp.a tptp.a tptp.a tptp.b Bool)|)) (or (not (forall ((z tptp.a)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_26 (forall ((u |u_(-> tptp.b tptp.b)|) (e tptp.b) (i tptp.b)) (not (forall ((v |u_(-> tptp.b tptp.b)|)) (not (forall ((ii tptp.b)) (= (ho_9 v ii) (ite (= i ii) e (ho_9 u ii)))))))))) (let ((_let_27 (forall ((x |u_(-> tptp.b tptp.b)|) (y |u_(-> tptp.b tptp.b)|)) (or (not (forall ((z tptp.b)) (= (ho_9 x z) (ho_9 y z)))) (= x y))))) (let ((_let_28 (forall ((T8 tptp.b)) (or (not (ho_7 (ho_6 (ho_5 (ho_4 (ho_3 k_2 tptp.cS) tptp.cN) tptp.cS) tptp.cS) T8)) (ho_7 (ho_6 (ho_5 (ho_4 (ho_3 k_2 tptp.cN) tptp.cN) tptp.cS) tptp.cN) (ho_9 k_8 T8)))))) (let ((_let_29 (forall ((X1 tptp.a) (Y1 tptp.a) (V tptp.b)) (or (not (ho_7 (ho_6 (ho_5 (ho_4 (ho_3 k_2 tptp.cN) X1) tptp.cN) Y1) V)) (ho_7 (ho_6 (ho_5 (ho_4 (ho_3 k_2 tptp.cS) X1) tptp.cS) Y1) (ho_9 k_10 V)))))) (let ((_let_30 (forall ((X tptp.a) (Y tptp.a) (U tptp.b)) (or (not (ho_7 (ho_6 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true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.59/0.77 )
% 0.59/0.77 % SZS output end Proof for PUZ047^5
% 0.59/0.77 % cvc5---1.0.5 exiting
% 0.59/0.77 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------