## TSTP Solution File: LCL666+1.001 by Zipperpin---2.1.999

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.999
% Problem  : LCL666+1.001 : TPTP v8.1.0. 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.5mOVK91amX true

% Computer : n009.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 : Sun Sep 18 05:02:32 EDT 2022

% Result   : Theorem 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (   6 unt;   4 typ;   0 def)
%            Number of atoms       :   21 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   55 (  17   ~;   7   |;   4   &;  27   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   0   ^   5   !;   2   ?;   7   :)

%------------------------------------------------------------------------------
thf(p101_type,type,
p101: \$i > \$o ).

thf(r1_type,type,
r1: \$i > \$i > \$o ).

thf(sk__type,type,
sk_: \$i ).

thf(p201_type,type,
p201: \$i > \$o ).

thf(reflexivity,axiom,
! [X: \$i] : ( r1 @ X @ X ) ).

thf(zip_derived_cl0,plain,
! [X0: \$i] : ( r1 @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity]) ).

thf(main,conjecture,
~ ? [X: \$i] :
~ ( ~ ! [Y: \$i] :
( ~ ( ( p201 @ Y )
& ( p101 @ Y ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( ( p201 @ X )
& ( p101 @ X ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
? [X: \$i] :
~ ( ~ ! [Y: \$i] :
( ~ ( ( p201 @ Y )
& ( p101 @ Y ) )
| ~ ( r1 @ X @ Y ) )
| ~ ( ( p201 @ X )
& ( p101 @ X ) ) ),
inference('cnf.neg',[status(esa)],[main]) ).

thf(zip_derived_cl2,plain,
p101 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
p201 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
! [X0: \$i] :
( ~ ( p101 @ X0 )
| ~ ( p201 @ X0 )
| ~ ( r1 @ sk_ @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
( ~ ( r1 @ sk_ @ sk_ )
| ~ ( p101 @ sk_ ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
~ ( r1 @ sk_ @ sk_ ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
\$false,
inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL666+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5mOVK91amX true
% 0.15/0.35  % Computer : n009.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Sep  1 23:35:20 EDT 2022
% 0.15/0.35  % CPUTime  :
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.56/0.67  % Total configuration time : 435
% 0.56/0.67  % Estimated wc time : 1092
% 0.56/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.75  % Solved by fo/fo6_bce.sh.
% 0.58/0.75  % BCE start: 4
% 0.58/0.75  % BCE eliminated: 0
% 0.58/0.75  % PE start: 4
% 0.58/0.75  logic: neq
% 0.58/0.75  % PE eliminated: 3
% 0.58/0.75  % done 0 iterations in 0.004s
% 0.58/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.75  % SZS output start Refutation
% See solution above
% 0.58/0.75
% 0.58/0.75
% 0.58/0.75  % Terminating...
% 0.59/0.78  % Runner terminated.
% 0.59/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------
```