## TSTP Solution File: SYN969+1 by CSE_E---1.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.4
% Problem  : SYN969+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% 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 Sep 29 21:18:45 EDT 2022

% Result   : Theorem 0.59s 0.68s
% Output   : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   4 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   25 (   8   ~;   4   |;   5   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   10 (   0 sgn   8   !;   0   ?)

%------------------------------------------------------------------------------
fof(prove_this,conjecture,
! [X1] :
( ( ! [X2] :
( p(X2)
=> q(X2) )
& r(X1) )
=> ( ! [X3] :
( r(X3)
=> p(X3) )
=> q(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(c_0_1,negated_conjecture,
~ ! [X1] :
( ( ! [X2] :
( p(X2)
=> q(X2) )
& r(X1) )
=> ( ! [X3] :
( r(X3)
=> p(X3) )
=> q(X1) ) ),
inference(assume_negation,[status(cth)],[prove_this]) ).

fof(c_0_2,negated_conjecture,
! [X8,X9] :
( ( ~ p(X8)
| q(X8) )
& r(esk1_0)
& ( ~ r(X9)
| p(X9) )
& ~ q(esk1_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3,negated_conjecture,
~ q(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
( q(X1)
| ~ p(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
~ p(esk1_0),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_6,negated_conjecture,
( p(X1)
| ~ r(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
r(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).

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
% 0.07/0.11  % Problem  : SYN969+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12  % Command   : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Sep  5 09:41:49 EDT 2022
% 0.12/0.33  % CPUTime  :
% 0.18/0.43  openjdk version "1.8.0_171"
% 0.18/0.43  OpenJDK Runtime Environment (build 1.8.0_171-b10)
% 0.18/0.43  OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode)
% 0.18/0.44  file=/export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.65  start to proof: theBenchmark
% 0.59/0.68  % Version  : CSE_E---1.4
% 0.59/0.68  % Problem  : theBenchmark.p
% 0.59/0.68  % Proof found
% 0.59/0.68  % SZS status Theorem for theBenchmark.p
% 0.59/0.68  % SZS output start Proof
% See solution above
% 0.59/0.68  % Total time : 0.019000 s
%------------------------------------------------------------------------------