TSTP Solution File: SEV276^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV276^5 : 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.JlHljtUmZU true
% Computer : n026.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 20:00:17 EDT 2023
% Result : Timeout 299.09s 39.26s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 49 ( 25 unt; 9 typ; 0 def)
% Number of atoms : 82 ( 27 equ; 9 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 461 ( 43 ~; 43 |; 36 &; 327 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 73 ( 73 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 159 ( 58 ^; 97 !; 4 ?; 159 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk__2_type,type,
sk__2: ( a > $o ) > a ).
thf(sk__1_type,type,
sk__1: a ).
thf(sk__3_type,type,
sk__3: a > ( a > $o ) > a ).
thf('#l_lift14993_type',type,
'#l_lift14993': ( a > $o ) > ( a > $o ) > a > $o ).
thf(sk__type,type,
sk_: a ).
thf(cR_type,type,
cR: a > a > $o ).
thf('#l_lift14989_type',type,
'#l_lift14989': ( a > $o ) > a > $o ).
thf('#l_lift15000_type',type,
'#l_lift15000': ( a > a > $o ) > a > a > $o ).
thf(cTHM544_pme,conjecture,
( ! [X: a > $o] :
( ? [Xz: a] : ( X @ Xz )
=> ? [Xz: a] :
( ! [Xy: a] :
( ( ( X @ Xy )
& ! [Xx: a] :
( ( X @ Xx )
=> ( cR @ Xy @ Xx ) ) )
=> ( Xy = Xz ) )
& ! [Xx: a] :
( ( X @ Xx )
=> ( cR @ Xz @ Xx ) )
& ( X @ Xz ) ) )
=> ! [Xx: a,Xy: a] :
( ( ( cR @ Xx @ Xy )
& ( cR @ Xy @ Xx ) )
=> ( Xx = Xy ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ! [X: a > $o] :
( ? [Xz: a] : ( X @ Xz )
=> ? [Xz: a] :
( ! [Xy: a] :
( ( ( X @ Xy )
& ! [Xx: a] :
( ( X @ Xx )
=> ( cR @ Xy @ Xx ) ) )
=> ( Xy = Xz ) )
& ! [Xx: a] :
( ( X @ Xx )
=> ( cR @ Xz @ Xx ) )
& ( X @ Xz ) ) )
=> ! [Xx: a,Xy: a] :
( ( ( cR @ Xx @ Xy )
& ( cR @ Xy @ Xx ) )
=> ( Xx = Xy ) ) ),
inference('cnf.neg',[status(esa)],[cTHM544_pme]) ).
thf(zip_derived_cl4,plain,
sk_ != sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
cR @ sk_ @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
cR @ sk__1 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X0: a > $o,X1: a,X2: a] :
( ~ ( X0 @ X1 )
| ( X0 @ ( sk__3 @ X1 @ X0 ) )
| ( X1
= ( sk__2 @ X0 ) )
| ~ ( X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl306,plain,
! [X0: a > $o,X1: a] :
( ~ ( X0 @ X1 )
| ( X0 @ ( sk__3 @ X1 @ X0 ) )
| ( X1
= ( sk__2 @ X0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl332,plain,
! [X0: a > $o,X1: a > $o,X2: a] :
( ~ ( ^ [Y0: a] :
( ( X1 @ Y0 )
& ( X0 @ Y0 ) )
@ X2 )
| ( ^ [Y0: a] :
( ( X1 @ Y0 )
& ( X0 @ Y0 ) )
@ ( sk__3 @ X2
@ ^ [Y0: a] :
( ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) )
| ( X2
= ( sk__2
@ ^ [Y0: a] :
( ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) ) ),
inference('ho.refine',[status(thm)],[zip_derived_cl306]) ).
thf(zip_derived_cl353,plain,
! [X0: a > $o,X1: a > $o,X2: a] :
( ~ ( ( X1 @ X2 )
& ( X0 @ X2 ) )
| ( ( X1
@ ( sk__3 @ X2
@ ^ [Y0: a] :
( ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) )
& ( X0
@ ( sk__3 @ X2
@ ^ [Y0: a] :
( ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) ) )
| ( X2
= ( sk__2
@ ^ [Y0: a] :
( ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl332]) ).
thf(zip_derived_cl353_001,plain,
! [X0: a > $o,X1: a > $o,X2: a] :
( ~ ( ( X1 @ X2 )
& ( X0 @ X2 ) )
| ( ( X1
@ ( sk__3 @ X2
@ ^ [Y0: a] :
( ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) )
& ( X0
@ ( sk__3 @ X2
@ ^ [Y0: a] :
( ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) ) )
| ( X2
= ( sk__2
@ ^ [Y0: a] :
( ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl332]) ).
thf(zip_derived_cl11539,plain,
! [X0: a > $o,X1: a > $o,X3: a] :
( ( '#l_lift14993' @ X0 @ X1 @ X3 )
= ( ( X1 @ X3 )
& ( X0 @ X3 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl11539_002,plain,
! [X0: a > $o,X1: a > $o,X3: a] :
( ( '#l_lift14993' @ X0 @ X1 @ X3 )
= ( ( X1 @ X3 )
& ( X0 @ X3 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl11539_003,plain,
! [X0: a > $o,X1: a > $o,X3: a] :
( ( '#l_lift14993' @ X0 @ X1 @ X3 )
= ( ( X1 @ X3 )
& ( X0 @ X3 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl11540,plain,
! [X0: a > $o,X1: a > $o,X2: a] :
( ~ ( ( X1 @ X2 )
& ( X0 @ X2 ) )
| ( ( X1 @ ( sk__3 @ X2 @ ( '#l_lift14993' @ X0 @ X1 ) ) )
& ( X0 @ ( sk__3 @ X2 @ ( '#l_lift14993' @ X0 @ X1 ) ) ) )
| ( X2
= ( sk__2 @ ( '#l_lift14993' @ X0 @ X1 ) ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl353,zip_derived_cl11539,zip_derived_cl11539,zip_derived_cl11539]) ).
thf(zip_derived_cl2,plain,
! [X0: a > $o,X2: a,X3: a] :
( ~ ( X0 @ X3 )
| ( cR @ ( sk__2 @ X0 ) @ X3 )
| ~ ( X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X0: a > $o,X1: a] :
( ~ ( X0 @ X1 )
| ( cR @ ( sk__2 @ X0 ) @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl12,plain,
! [X0: a > $o,X1: a] :
( ~ ( ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) )
@ X1 )
| ( cR
@ ( sk__2
@ ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) ) )
@ X1 ) ),
inference('ho.refine',[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl20,plain,
! [X0: a > $o,X1: a] :
( ~ ( (~) @ ( X0 @ X1 ) )
| ( cR
@ ( sk__2
@ ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) ) )
@ X1 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl21,plain,
! [X0: a > $o,X1: a] :
( ( X0 @ X1 )
| ( cR
@ ( sk__2
@ ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) ) )
@ X1 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl20]) ).
thf(zip_derived_cl3,plain,
! [X0: a > $o,X2: a] :
( ( X0 @ ( sk__2 @ X0 ) )
| ~ ( X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7_004,plain,
! [X0: a > $o,X1: a] :
( ~ ( X0 @ X1 )
| ( cR @ ( sk__2 @ X0 ) @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl18,plain,
! [X0: a > $o,X2: a] :
( ( X0 @ X2 )
| ~ ( X0
@ ( sk__2
@ ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) ) ) ) ),
inference('inst_choice(((^[Y0 : a]: (((~) @ (X0 @ Y0))))))',[status(thm)],[zip_derived_cl3,zip_derived_cl7]) ).
thf(zip_derived_cl11526,plain,
! [X0: a > $o,X3: a] :
( ( '#l_lift14989' @ X0 @ X3 )
= ( (~) @ ( X0 @ X3 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl11533,plain,
! [X0: a > $o,X1: a] :
( ( X0 @ X1 )
| ( cR @ ( sk__2 @ ( '#l_lift14989' @ X0 ) ) @ X1 ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl21,zip_derived_cl11526]) ).
thf(zip_derived_cl0,plain,
! [X0: a > $o,X1: a,X2: a] :
( ~ ( X0 @ X1 )
| ~ ( cR @ X1 @ ( sk__3 @ X1 @ X0 ) )
| ( X1
= ( sk__2 @ X0 ) )
| ~ ( X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl136,plain,
! [X0: a > $o,X1: a] :
( ~ ( X0 @ X1 )
| ~ ( cR @ X1 @ ( sk__3 @ X1 @ X0 ) )
| ( X1
= ( sk__2 @ X0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl143,plain,
! [X0: a > $o,X1: a > $o,X2: a] :
( ~ ( ^ [Y0: a] :
( ( X1 @ Y0 )
& ( X0 @ Y0 ) )
@ X2 )
| ~ ( cR @ X2
@ ( sk__3 @ X2
@ ^ [Y0: a] :
( ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) )
| ( X2
= ( sk__2
@ ^ [Y0: a] :
( ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) ) ),
inference('ho.refine',[status(thm)],[zip_derived_cl136]) ).
thf(zip_derived_cl154,plain,
! [X0: a > $o,X1: a > $o,X2: a] :
( ~ ( ( X1 @ X2 )
& ( X0 @ X2 ) )
| ~ ( cR @ X2
@ ( sk__3 @ X2
@ ^ [Y0: a] :
( ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) )
| ( X2
= ( sk__2
@ ^ [Y0: a] :
( ( X1 @ Y0 )
& ( X0 @ Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl143]) ).
thf(zip_derived_cl11539_005,plain,
! [X0: a > $o,X1: a > $o,X3: a] :
( ( '#l_lift14993' @ X0 @ X1 @ X3 )
= ( ( X1 @ X3 )
& ( X0 @ X3 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl11539_006,plain,
! [X0: a > $o,X1: a > $o,X3: a] :
( ( '#l_lift14993' @ X0 @ X1 @ X3 )
= ( ( X1 @ X3 )
& ( X0 @ X3 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl11549,plain,
! [X0: a > $o,X1: a > $o,X2: a] :
( ~ ( ( X1 @ X2 )
& ( X0 @ X2 ) )
| ~ ( cR @ X2 @ ( sk__3 @ X2 @ ( '#l_lift14993' @ X0 @ X1 ) ) )
| ( X2
= ( sk__2 @ ( '#l_lift14993' @ X0 @ X1 ) ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl154,zip_derived_cl11539,zip_derived_cl11539]) ).
thf(zip_derived_cl7_007,plain,
! [X0: a > $o,X1: a] :
( ~ ( X0 @ X1 )
| ( cR @ ( sk__2 @ X0 ) @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl306_008,plain,
! [X0: a > $o,X1: a] :
( ~ ( X0 @ X1 )
| ( X0 @ ( sk__3 @ X1 @ X0 ) )
| ( X1
= ( sk__2 @ X0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl435,plain,
! [X0: a > a > $o,X1: a > a > a,X2: a] :
( ~ ( ^ [Y0: a] :
( ^ [Y1: a,Y2: a,Y3: a] : ( X0 @ Y3 @ Y2 )
@ Y0
@ ( ^ [Y1: a] : X2
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ X2 )
| ( X2
= ( sk__2
@ ^ [Y0: a] :
( cR
@ ( ^ [Y1: a] :
( sk__2
@ ( ^ [Y2: a,Y3: a] :
( ^ [Y4: a,Y5: a,Y6: a] : ( X0 @ Y6 @ Y5 )
@ ( X1 @ Y2 @ Y3 )
@ Y2
@ Y3 )
@ Y1 ) )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) )
| ( ^ [Y0: a] :
( cR
@ ( ^ [Y1: a] :
( sk__2
@ ( ^ [Y2: a,Y3: a] :
( ^ [Y4: a,Y5: a,Y6: a] : ( X0 @ Y6 @ Y5 )
@ ( X1 @ Y2 @ Y3 )
@ Y2
@ Y3 )
@ Y1 ) )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) )
@ ( sk__3 @ X2
@ ^ [Y0: a] :
( cR
@ ( ^ [Y1: a] :
( sk__2
@ ( ^ [Y2: a,Y3: a] :
( ^ [Y4: a,Y5: a,Y6: a] : ( X0 @ Y6 @ Y5 )
@ ( X1 @ Y2 @ Y3 )
@ Y2
@ Y3 )
@ Y1 ) )
@ Y0 )
@ ( ^ [Y1: a] : Y1
@ Y0 ) ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl306]) ).
thf(zip_derived_cl455,plain,
! [X0: a > a > $o,X2: a] :
( ~ ( X0 @ X2 @ X2 )
| ( X2
= ( sk__2
@ ^ [Y0: a] :
( cR
@ ( sk__2
@ ^ [Y1: a] : ( X0 @ Y1 @ Y0 ) )
@ Y0 ) ) )
| ( cR
@ ( sk__2
@ ^ [Y0: a] :
( X0 @ Y0
@ ( sk__3 @ X2
@ ^ [Y1: a] :
( cR
@ ( sk__2
@ ^ [Y2: a] : ( X0 @ Y2 @ Y1 ) )
@ Y1 ) ) ) )
@ ( sk__3 @ X2
@ ^ [Y0: a] :
( cR
@ ( sk__2
@ ^ [Y1: a] : ( X0 @ Y1 @ Y0 ) )
@ Y0 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl435]) ).
thf(zip_derived_cl11558,plain,
! [X0: a > a > $o,X3: a,X4: a] :
( ( '#l_lift15000' @ X0 @ X3 @ X4 )
= ( X0 @ X4 @ X3 ) ),
define([status(thm)]) ).
thf(zip_derived_cl18_009,plain,
! [X0: a > $o,X2: a] :
( ( X0 @ X2 )
| ~ ( X0
@ ( sk__2
@ ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) ) ) ) ),
inference('inst_choice(((^[Y0 : a]: (((~) @ (X0 @ Y0))))))',[status(thm)],[zip_derived_cl3,zip_derived_cl7]) ).
thf(zip_derived_cl11526_010,plain,
! [X0: a > $o,X3: a] :
( ( '#l_lift14989' @ X0 @ X3 )
= ( (~) @ ( X0 @ X3 ) ) ),
define([status(thm)]) ).
thf(zip_derived_cl11527,plain,
! [X0: a > $o,X2: a] :
( ( X0 @ X2 )
| ~ ( X0 @ ( sk__2 @ ( '#l_lift14989' @ X0 ) ) ) ),
inference(lambda_lifting,[status(thm)],[zip_derived_cl18,zip_derived_cl11526]) ).
thf(zip_derived_cl11623,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl4,zip_derived_cl6,zip_derived_cl5,zip_derived_cl11540,zip_derived_cl11533,zip_derived_cl11549,zip_derived_cl11558,zip_derived_cl11527]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16 % Problem : SEV276^5 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JlHljtUmZU true
% 0.11/0.36 % Computer : n026.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8042.1875MB
% 0.11/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Aug 24 02:42:16 EDT 2023
% 0.11/0.36 % CPUTime :
% 0.11/0.36 % Running portfolio for 300 s
% 0.11/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Number of cores: 8
% 0.11/0.36 % Python version: Python 3.6.8
% 0.11/0.36 % Running in HO mode
% 0.15/0.59 % Total configuration time : 828
% 0.15/0.59 % Estimated wc time : 1656
% 0.15/0.59 % Estimated cpu time (8 cpus) : 207.0
% 0.15/0.71 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.15/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.15/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.15/0.71 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.15/0.71 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.15/0.71 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.15/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.15/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 231.98/30.62 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 299.09/39.26 % Solved by lams/40_c.s.sh.
% 299.09/39.26 % done 941 iterations in 38.490s
% 299.09/39.26 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 299.09/39.26 % SZS output start Refutation
% See solution above
% 299.09/39.26
% 299.09/39.26
% 299.09/39.26 % Terminating...
% 299.09/39.33 % Runner terminated.
% 299.09/39.33 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------