TSTP Solution File: SEV200^5 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV200^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Bu0HWYt4GK true
% Computer : n014.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 19:59:59 EDT 2023
% Result : Theorem 1.19s 0.82s
% Output : Refutation 1.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 3 unt; 5 typ; 0 def)
% Number of atoms : 188 ( 88 equ; 0 cnn)
% Maximal formula atoms : 31 ( 11 avg)
% Number of connectives : 511 ( 14 ~; 26 |; 76 &; 294 @)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 19 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 4 usr; 5 con; 0-3 aty)
% ( 27 !!; 48 ??; 0 @@+; 0 @@-)
% Number of variables : 134 ( 75 ^; 47 !; 12 ?; 134 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cZ_type,type,
cZ: a ).
thf(cP_type,type,
cP: a > a > a ).
thf(x_type,type,
x: a ).
thf('#sk1_type',type,
'#sk1': a > a > a > $o ).
thf(cS_LEM1C_pme,conjecture,
( ( ! [X: a > $o] :
( ( ! [Xx0: a,Xy: a] :
( ( ( X @ Xy )
& ( X @ Xx0 ) )
=> ( X @ ( cP @ Xx0 @ Xy ) ) )
& ( X @ cZ ) )
=> ! [Xx0: a] : ( X @ Xx0 ) )
& ! [Xx0: a,Xy: a,Xu: a,Xv: a] :
( ( ( cP @ Xx0 @ Xu )
= ( cP @ Xy @ Xv ) )
=> ( ( Xu = Xv )
& ( Xx0 = Xy ) ) )
& ! [Xx0: a,Xy: a] :
( ( cP @ Xx0 @ Xy )
!= cZ ) )
=> ! [R: a > a > a > $o] :
( ! [Xa: a,Xb: a,Xc: a] :
( ( ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( R @ Xx2 @ Xy2 @ Xz2 ) )
| ( ( Xa = Xc )
& ( Xb = cZ ) )
| ( ( Xb = Xc )
& ( Xa = cZ ) ) )
=> ( R @ Xa @ Xb @ Xc ) )
=> ( R @ cZ @ x @ x ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [X: a > $o] :
( ( ! [Xx0: a,Xy: a] :
( ( ( X @ Xy )
& ( X @ Xx0 ) )
=> ( X @ ( cP @ Xx0 @ Xy ) ) )
& ( X @ cZ ) )
=> ! [Xx0: a] : ( X @ Xx0 ) )
& ! [Xx0: a,Xy: a,Xu: a,Xv: a] :
( ( ( cP @ Xx0 @ Xu )
= ( cP @ Xy @ Xv ) )
=> ( ( Xu = Xv )
& ( Xx0 = Xy ) ) )
& ! [Xx0: a,Xy: a] :
( ( cP @ Xx0 @ Xy )
!= cZ ) )
=> ! [R: a > a > a > $o] :
( ! [Xa: a,Xb: a,Xc: a] :
( ( ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( R @ Xx2 @ Xy2 @ Xz2 ) )
| ( ( Xa = Xc )
& ( Xb = cZ ) )
| ( ( Xb = Xc )
& ( Xa = cZ ) ) )
=> ( R @ Xa @ Xb @ Xc ) )
=> ( R @ cZ @ x @ x ) ) ),
inference('cnf.neg',[status(esa)],[cS_LEM1C_pme]) ).
thf(zip_derived_cl0,plain,
~ ( ( ( !!
@ ^ [Y0: a > $o] :
( ( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( Y0 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ ( cP @ Y1 @ Y2 ) ) ) ) )
& ( Y0 @ cZ ) )
=> ( !!
@ ^ [Y1: a] : ( Y0 @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( cP @ Y0 @ Y2 )
= ( cP @ Y1 @ Y3 ) )
=> ( ( Y2 = Y3 )
& ( Y0 = Y1 ) ) ) ) ) ) )
& ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( cP @ Y0 @ Y1 )
!= cZ ) ) ) )
=> ( !!
@ ^ [Y0: a > a > a > $o] :
( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ??
@ ^ [Y8: a] :
( ??
@ ^ [Y9: a] :
( ( Y1
= ( cP @ Y4 @ Y5 ) )
& ( Y2
= ( cP @ Y6 @ Y7 ) )
& ( Y3
= ( cP @ Y8 @ Y9 ) )
& ( Y0 @ Y4 @ Y6 @ Y8 )
& ( Y0 @ Y5 @ Y7 @ Y9 ) ) ) ) ) ) ) )
| ( ( Y1 = Y3 )
& ( Y2 = cZ ) )
| ( ( Y2 = Y3 )
& ( Y1 = cZ ) ) )
=> ( Y0 @ Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y0 @ cZ @ x @ x ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
~ ( !!
@ ^ [Y0: a > a > a > $o] :
( ( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( !!
@ ^ [Y3: a] :
( ( ( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ??
@ ^ [Y8: a] :
( ??
@ ^ [Y9: a] :
( ( Y1
= ( cP @ Y4 @ Y5 ) )
& ( Y2
= ( cP @ Y6 @ Y7 ) )
& ( Y3
= ( cP @ Y8 @ Y9 ) )
& ( Y0 @ Y4 @ Y6 @ Y8 )
& ( Y0 @ Y5 @ Y7 @ Y9 ) ) ) ) ) ) ) )
| ( ( Y1 = Y3 )
& ( Y2 = cZ ) )
| ( ( Y2 = Y3 )
& ( Y1 = cZ ) ) )
=> ( Y0 @ Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y0 @ cZ @ x @ x ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
~ ( ( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ??
@ ^ [Y8: a] :
( ( Y0
= ( cP @ Y3 @ Y4 ) )
& ( Y1
= ( cP @ Y5 @ Y6 ) )
& ( Y2
= ( cP @ Y7 @ Y8 ) )
& ( '#sk1' @ Y3 @ Y5 @ Y7 )
& ( '#sk1' @ Y4 @ Y6 @ Y8 ) ) ) ) ) ) ) )
| ( ( Y0 = Y2 )
& ( Y1 = cZ ) )
| ( ( Y1 = Y2 )
& ( Y0 = cZ ) ) )
=> ( '#sk1' @ Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( '#sk1' @ cZ @ x @ x ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl11,plain,
~ ( '#sk1' @ cZ @ x @ x ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl10,plain,
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( !!
@ ^ [Y2: a] :
( ( ( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ??
@ ^ [Y8: a] :
( ( Y0
= ( cP @ Y3 @ Y4 ) )
& ( Y1
= ( cP @ Y5 @ Y6 ) )
& ( Y2
= ( cP @ Y7 @ Y8 ) )
& ( '#sk1' @ Y3 @ Y5 @ Y7 )
& ( '#sk1' @ Y4 @ Y6 @ Y8 ) ) ) ) ) ) ) )
| ( ( Y0 = Y2 )
& ( Y1 = cZ ) )
| ( ( Y1 = Y2 )
& ( Y0 = cZ ) ) )
=> ( '#sk1' @ Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl15,plain,
! [X2: a] :
( !!
@ ^ [Y0: a] :
( !!
@ ^ [Y1: a] :
( ( ( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ??
@ ^ [Y7: a] :
( ( X2
= ( cP @ Y2 @ Y3 ) )
& ( Y0
= ( cP @ Y4 @ Y5 ) )
& ( Y1
= ( cP @ Y6 @ Y7 ) )
& ( '#sk1' @ Y2 @ Y4 @ Y6 )
& ( '#sk1' @ Y3 @ Y5 @ Y7 ) ) ) ) ) ) ) )
| ( ( X2 = Y1 )
& ( Y0 = cZ ) )
| ( ( Y0 = Y1 )
& ( X2 = cZ ) ) )
=> ( '#sk1' @ X2 @ Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).
thf(zip_derived_cl19,plain,
! [X2: a,X4: a] :
( !!
@ ^ [Y0: a] :
( ( ( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ??
@ ^ [Y6: a] :
( ( X2
= ( cP @ Y1 @ Y2 ) )
& ( X4
= ( cP @ Y3 @ Y4 ) )
& ( Y0
= ( cP @ Y5 @ Y6 ) )
& ( '#sk1' @ Y1 @ Y3 @ Y5 )
& ( '#sk1' @ Y2 @ Y4 @ Y6 ) ) ) ) ) ) ) )
| ( ( X2 = Y0 )
& ( X4 = cZ ) )
| ( ( X4 = Y0 )
& ( X2 = cZ ) ) )
=> ( '#sk1' @ X2 @ X4 @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).
thf(zip_derived_cl22,plain,
! [X2: a,X4: a,X6: a] :
( ( ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ( X2
= ( cP @ Y0 @ Y1 ) )
& ( X4
= ( cP @ Y2 @ Y3 ) )
& ( X6
= ( cP @ Y4 @ Y5 ) )
& ( '#sk1' @ Y0 @ Y2 @ Y4 )
& ( '#sk1' @ Y1 @ Y3 @ Y5 ) ) ) ) ) ) ) )
| ( ( X2 = X6 )
& ( X4 = cZ ) )
| ( ( X4 = X6 )
& ( X2 = cZ ) ) )
=> ( '#sk1' @ X2 @ X4 @ X6 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).
thf(zip_derived_cl25,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( ( ??
@ ^ [Y0: a] :
( ??
@ ^ [Y1: a] :
( ??
@ ^ [Y2: a] :
( ??
@ ^ [Y3: a] :
( ??
@ ^ [Y4: a] :
( ??
@ ^ [Y5: a] :
( ( X2
= ( cP @ Y0 @ Y1 ) )
& ( X4
= ( cP @ Y2 @ Y3 ) )
& ( X6
= ( cP @ Y4 @ Y5 ) )
& ( '#sk1' @ Y0 @ Y2 @ Y4 )
& ( '#sk1' @ Y1 @ Y3 @ Y5 ) ) ) ) ) ) ) )
| ( ( X2 = X6 )
& ( X4 = cZ ) )
| ( ( X4 = X6 )
& ( X2 = cZ ) ) )
| ( '#sk1' @ X2 @ X4 @ X6 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl33,plain,
! [X2: a,X4: a,X6: a] :
( ~ ( ( X4 = X6 )
& ( X2 = cZ ) )
| ( '#sk1' @ X2 @ X4 @ X6 ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl25]) ).
thf(zip_derived_cl41,plain,
! [X2: a,X4: a,X6: a] :
( ( X4 != X6 )
| ( X2 != cZ )
| ( '#sk1' @ X2 @ X4 @ X6 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl33]) ).
thf(zip_derived_cl47,plain,
! [X2: a,X4: a,X6: a] :
( ( X4 != X6 )
| ( X2 != cZ )
| ( '#sk1' @ X2 @ X4 @ X6 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl41]) ).
thf(zip_derived_cl48,plain,
! [X6: a] : ( '#sk1' @ cZ @ X6 @ X6 ),
inference(simplify,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl58,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV200^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Bu0HWYt4GK true
% 0.12/0.35 % Computer : n014.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Thu Aug 24 02:25:34 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.12/0.35 % Python version: Python 3.6.8
% 0.12/0.35 % Running in HO mode
% 0.21/0.67 % Total configuration time : 828
% 0.21/0.67 % Estimated wc time : 1656
% 0.21/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.19/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.19/0.82 % Solved by lams/35_full_unif4.sh.
% 1.19/0.82 % done 3 iterations in 0.030s
% 1.19/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.19/0.82 % SZS output start Refutation
% See solution above
% 1.19/0.82
% 1.19/0.82
% 1.19/0.82 % Terminating...
% 1.75/0.86 % Runner terminated.
% 1.75/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------