## TSTP Solution File: SEU163+1 by CSE_E---1.4

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : CSE_E---1.4
% Problem  : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n011.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 : Tue Sep 20 05:18:43 EDT 2022

% Result   : Theorem 0.67s 0.74s
% Output   : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   5   ~;   2   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   10 (   0 sgn   8   !;   0   ?)

%------------------------------------------------------------------------------
fof(t92_zfmisc_1,conjecture,
! [X1,X2] :
( in(X1,X2)
=> subset(X1,union(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t92_zfmisc_1) ).

fof(l50_zfmisc_1,axiom,
! [X1,X2] :
( in(X1,X2)
=> subset(X1,union(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l50_zfmisc_1) ).

fof(c_0_2,negated_conjecture,
~ ! [X1,X2] :
( in(X1,X2)
=> subset(X1,union(X2)) ),
inference(assume_negation,[status(cth)],[t92_zfmisc_1]) ).

fof(c_0_3,negated_conjecture,
( in(esk1_0,esk2_0)
& ~ subset(esk1_0,union(esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

fof(c_0_4,plain,
! [X16,X17] :
( ~ in(X16,X17)
| subset(X16,union(X17)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l50_zfmisc_1])]) ).

cnf(c_0_5,negated_conjecture,
~ subset(esk1_0,union(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
( subset(X1,union(X2))
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
in(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,negated_conjecture,
\$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
[proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command   : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n011.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 : Sat Sep  3 09:45:58 EDT 2022
% 0.13/0.34  % CPUTime  :
% 0.19/0.45  openjdk version "1.8.0_171"
% 0.19/0.45  OpenJDK Runtime Environment (build 1.8.0_171-b10)
% 0.19/0.45  OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode)
% 0.19/0.46  file=/export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.70  start to proof: theBenchmark
% 0.67/0.74  % Version  : CSE_E---1.4
% 0.67/0.74  % Problem  : theBenchmark.p
% 0.67/0.74  % Proof found
% 0.67/0.74  % SZS status Theorem for theBenchmark.p
% 0.67/0.74  % SZS output start Proof
% See solution above
% 0.67/0.74  % Total time : 0.032000 s
%------------------------------------------------------------------------------
```