## TSTP Solution File: SYN969+1 by Zipperpin---2.1.999

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.999
% Problem  : SYN969+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bhYQc4aKAX true

% Computer : n024.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 : Fri Sep 30 00:06:35 EDT 2022

% Result   : Theorem 0.54s 0.71s
% Output   : Refutation 0.54s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   5 unt;   4 typ;   0 def)
%            Number of atoms       :   21 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   38 (   6   ~;   2   |;   2   &;  20   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    8 (   0   ^   8   !;   0   ?;   8   :)

%------------------------------------------------------------------------------
thf(p_type,type,
p: \$i > \$o ).

thf(q_type,type,
q: \$i > \$o ).

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

thf(r_type,type,
r: \$i > \$o ).

thf(prove_this,conjecture,
! [B: \$i] :
( ( ! [X: \$i] :
( ( p @ X )
=> ( q @ X ) )
& ( r @ B ) )
=> ( ! [Y: \$i] :
( ( r @ Y )
=> ( p @ Y ) )
=> ( q @ B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
~ ! [B: \$i] :
( ( ! [X: \$i] :
( ( p @ X )
=> ( q @ X ) )
& ( r @ B ) )
=> ( ! [Y: \$i] :
( ( r @ Y )
=> ( p @ Y ) )
=> ( q @ B ) ) ),
inference('cnf.neg',[status(esa)],[prove_this]) ).

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

thf(zip_derived_cl3,plain,
! [X1: \$i] :
( ( p @ X1 )
| ~ ( r @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
! [X0: \$i] :
( ( q @ X0 )
| ~ ( p @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
~ ( q @ sk_ ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
~ ( p @ sk_ ),
inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
~ ( r @ sk_ ),
inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
\$false,
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN969+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bhYQc4aKAX true
% 0.13/0.34  % Computer : n024.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 : Mon Sep  5 09:47:33 EDT 2022
% 0.13/0.34  % CPUTime  :
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.53/0.64  % Total configuration time : 435
% 0.53/0.64  % Estimated wc time : 1092
% 0.53/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.71  % Solved by fo/fo6_bce.sh.
% 0.54/0.71  % BCE start: 4
% 0.54/0.71  % BCE eliminated: 0
% 0.54/0.71  % PE start: 4
% 0.54/0.71  logic: neq
% 0.54/0.71  % PE eliminated: 3
% 0.54/0.71  % done 0 iterations in 0.005s
% 0.54/0.71  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.71  % SZS output start Refutation
% See solution above
% 0.54/0.71
% 0.54/0.71
% 0.54/0.71  % Terminating...
% 0.54/0.75  % Runner terminated.
% 0.54/0.76  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------
```