TSTP Solution File: SEV199^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV199^5 : 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.WexSjJlFWu true
% Computer : n004.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 1.41s 0.96s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 6 unt; 7 typ; 0 def)
% Number of atoms : 90 ( 27 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 434 ( 34 ~; 36 |; 22 &; 330 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 10 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 127 ( 49 ^; 66 !; 12 ?; 127 :)
% Comments :
%------------------------------------------------------------------------------
thf(iS_type,type,
iS: $tType ).
thf(sk__type,type,
sk_: iS > iS > iS > $o ).
thf(cP_type,type,
cP: iS > iS > iS ).
thf(sk__1_type,type,
sk__1: ( iS > $o ) > iS ).
thf(c0_type,type,
c0: iS ).
thf(x_type,type,
x: iS ).
thf(sk__2_type,type,
sk__2: ( iS > $o ) > iS ).
thf(cS_INCL_LEM3_pme,conjecture,
( ( ! [Xx0: iS,Xy: iS] :
( ( cP @ Xx0 @ Xy )
!= c0 )
& ! [Xx0: iS,Xy: iS,Xu: iS,Xv: iS] :
( ( ( cP @ Xx0 @ Xu )
= ( cP @ Xy @ Xv ) )
=> ( ( Xx0 = Xy )
& ( Xu = Xv ) ) )
& ! [X: iS > $o] :
( ( ( X @ c0 )
& ! [Xx0: iS,Xy: iS] :
( ( ( X @ Xx0 )
& ( X @ Xy ) )
=> ( X @ ( cP @ Xx0 @ Xy ) ) ) )
=> ! [Xx0: iS] : ( X @ Xx0 ) ) )
=> ! [R: iS > iS > iS > $o] :
( ! [Xa: iS,Xb: iS,Xc: iS] :
( ( ( ( Xa = c0 )
& ( Xb = Xc ) )
| ( ( Xb = c0 )
& ( Xa = Xc ) )
| ? [Xx1: iS,Xx2: iS,Xy1: iS,Xy2: iS,Xz1: iS,Xz2: iS] :
( ( R @ Xx2 @ Xy2 @ Xz2 )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xa
= ( cP @ Xx1 @ Xx2 ) ) ) )
=> ( R @ Xa @ Xb @ Xc ) )
=> ( R @ x @ x @ x ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( ( ! [Xx0: iS,Xy: iS] :
( ( cP @ Xx0 @ Xy )
!= c0 )
& ! [Xx0: iS,Xy: iS,Xu: iS,Xv: iS] :
( ( ( cP @ Xx0 @ Xu )
= ( cP @ Xy @ Xv ) )
=> ( ( Xx0 = Xy )
& ( Xu = Xv ) ) )
& ! [X: iS > $o] :
( ( ( X @ c0 )
& ! [Xx0: iS,Xy: iS] :
( ( ( X @ Xx0 )
& ( X @ Xy ) )
=> ( X @ ( cP @ Xx0 @ Xy ) ) ) )
=> ! [Xx0: iS] : ( X @ Xx0 ) ) )
=> ! [R: iS > iS > iS > $o] :
( ! [Xa: iS,Xb: iS,Xc: iS] :
( ( ( ( Xa = c0 )
& ( Xb = Xc ) )
| ( ( Xb = c0 )
& ( Xa = Xc ) )
| ? [Xx1: iS,Xx2: iS,Xy1: iS,Xy2: iS,Xz1: iS,Xz2: iS] :
( ( R @ Xx2 @ Xy2 @ Xz2 )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xa
= ( cP @ Xx1 @ Xx2 ) ) ) )
=> ( R @ Xa @ Xb @ Xc ) )
=> ( R @ x @ x @ x ) ) ),
inference('cnf.neg',[status(esa)],[cS_INCL_LEM3_pme]) ).
thf(zip_derived_cl6,plain,
~ ( sk_ @ x @ x @ x ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X6: iS > $o,X7: iS] :
( ( X6 @ X7 )
| ( X6 @ ( sk__1 @ X6 ) )
| ~ ( X6 @ c0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46,plain,
! [X0: iS > $o] :
( ~ ( X0 @ c0 )
| ( X0 @ ( sk__1 @ X0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl4,plain,
! [X6: iS > $o,X7: iS] :
( ( X6 @ X7 )
| ( X6 @ ( sk__2 @ X6 ) )
| ~ ( X6 @ c0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
! [X0: iS > $o] :
( ~ ( X0 @ c0 )
| ( X0 @ ( sk__2 @ X0 ) ) ),
inference(condensation,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl9,plain,
! [X8: iS,X9: iS,X10: iS,X11: iS,X12: iS,X13: iS,X14: iS,X15: iS,X16: iS] :
( ( sk_ @ X8 @ X9 @ X10 )
| ~ ( sk_ @ X11 @ X12 @ X13 )
| ( X9
!= ( cP @ X12 @ X14 ) )
| ( X8
!= ( cP @ X11 @ X15 ) )
| ( X10
!= ( cP @ X13 @ X16 ) )
| ~ ( sk_ @ X15 @ X14 @ X16 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl413,plain,
! [X11: iS,X12: iS,X13: iS,X14: iS,X15: iS,X16: iS] :
( ~ ( sk_ @ X15 @ X14 @ X16 )
| ~ ( sk_ @ X11 @ X12 @ X13 )
| ( sk_ @ ( cP @ X11 @ X15 ) @ ( cP @ X12 @ X14 ) @ ( cP @ X13 @ X16 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl3,plain,
! [X6: iS > $o,X7: iS] :
( ( X6 @ X7 )
| ~ ( X6 @ ( cP @ ( sk__1 @ X6 ) @ ( sk__2 @ X6 ) ) )
| ~ ( X6 @ c0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl472,plain,
! [X0: iS] :
( ~ ( sk_
@ ( sk__1
@ ^ [Y0: iS] :
( sk_ @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sk__1
@ ^ [Y0: iS] :
( sk_ @ Y0 @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sk__1
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) ) )
| ~ ( sk_
@ ( sk__2
@ ^ [Y0: iS] :
( sk_ @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sk__2
@ ^ [Y0: iS] :
( sk_ @ Y0 @ Y0
@ ( ^ [Y1: iS] : Y1
@ Y0 ) ) )
@ ( sk__2
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) ) )
| ~ ( ^ [Y0: iS] :
( sk_
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 )
| ( ^ [Y0: iS] :
( sk_
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl3]) ).
thf(zip_derived_cl484,plain,
! [X0: iS] :
( ~ ( sk_
@ ( sk__1
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) )
@ ( sk__1
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) )
@ ( sk__1
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) ) )
| ~ ( sk_
@ ( sk__2
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) )
@ ( sk__2
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) )
@ ( sk__2
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) ) )
| ~ ( sk_ @ c0 @ c0 @ c0 )
| ( sk_ @ X0 @ X0 @ X0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl472]) ).
thf(zip_derived_cl7,plain,
! [X8: iS,X9: iS,X10: iS] :
( ( sk_ @ X8 @ X9 @ X10 )
| ( X8 != c0 )
| ( X9 != X10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl301,plain,
! [X10: iS] : ( sk_ @ c0 @ X10 @ X10 ),
inference(simplify,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl485,plain,
! [X0: iS] :
( ~ ( sk_
@ ( sk__1
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) )
@ ( sk__1
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) )
@ ( sk__1
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) ) )
| ~ ( sk_
@ ( sk__2
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) )
@ ( sk__2
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) )
@ ( sk__2
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) ) )
| ( sk_ @ X0 @ X0 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl484,zip_derived_cl301]) ).
thf(zip_derived_cl503,plain,
! [X0: iS] :
( ~ ( ^ [Y0: iS] :
( sk_
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 )
| ( sk_ @ X0 @ X0 @ X0 )
| ~ ( sk_
@ ( sk__1
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) )
@ ( sk__1
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) )
@ ( sk__1
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl485]) ).
thf(zip_derived_cl507,plain,
! [X0: iS] :
( ~ ( sk_ @ c0 @ c0 @ c0 )
| ( sk_ @ X0 @ X0 @ X0 )
| ~ ( sk_
@ ( sk__1
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) )
@ ( sk__1
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) )
@ ( sk__1
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl503]) ).
thf(zip_derived_cl301_001,plain,
! [X10: iS] : ( sk_ @ c0 @ X10 @ X10 ),
inference(simplify,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl508,plain,
! [X0: iS] :
( ( sk_ @ X0 @ X0 @ X0 )
| ~ ( sk_
@ ( sk__1
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) )
@ ( sk__1
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) )
@ ( sk__1
@ ^ [Y0: iS] : ( sk_ @ Y0 @ Y0 @ Y0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl507,zip_derived_cl301]) ).
thf(zip_derived_cl605,plain,
! [X0: iS] :
( ~ ( ^ [Y0: iS] :
( sk_
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 )
@ ( ^ [Y1: iS] : Y1
@ Y0 ) )
@ c0 )
| ( sk_ @ X0 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl508]) ).
thf(zip_derived_cl608,plain,
! [X0: iS] :
( ~ ( sk_ @ c0 @ c0 @ c0 )
| ( sk_ @ X0 @ X0 @ X0 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl605]) ).
thf(zip_derived_cl301_002,plain,
! [X10: iS] : ( sk_ @ c0 @ X10 @ X10 ),
inference(simplify,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl609,plain,
! [X0: iS] : ( sk_ @ X0 @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl608,zip_derived_cl301]) ).
thf(zip_derived_cl616,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl609]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV199^5 : 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.WexSjJlFWu true
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 02:16:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.34 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in HO mode
% 0.20/0.67 % Total configuration time : 828
% 0.20/0.67 % Estimated wc time : 1656
% 0.20/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.96/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.96/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.96/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.96/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.96/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.96/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.96/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.96/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.41/0.96 % Solved by lams/40_c_ic.sh.
% 1.41/0.96 % done 54 iterations in 0.186s
% 1.41/0.96 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.41/0.96 % SZS output start Refutation
% See solution above
% 1.41/0.96
% 1.41/0.96
% 1.41/0.96 % Terminating...
% 1.63/1.08 % Runner terminated.
% 1.63/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------