%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : LCL414-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n023.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 06:53:55 EDT 2023

% Result   : Unsatisfiable 0.15s 0.47s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (   8 unt;   4 typ;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   3   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   23 (   3 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    a_truth: $i > $o ).

tff(decl_23,type,
    implies: ( $i * $i ) > $i ).

tff(decl_24,type,
    not: $i > $i ).

tff(decl_25,type,
    sk1: $i ).

cnf(thm147_1,negated_conjecture,
    ( a_truth(X1)
    | ~ a_truth(X2)
    | ~ a_truth(implies(X2,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm147_1) ).

cnf(thm147_3,negated_conjecture,
    a_truth(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm147_3) ).

cnf(thm147_2,negated_conjecture,
    a_truth(implies(X1,implies(X2,X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm147_2) ).

cnf(thm147_5,negated_conjecture,
    ~ a_truth(implies(sk1,sk1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm147_5) ).

cnf(c_0_4,negated_conjecture,
    ( a_truth(X1)
    | ~ a_truth(X2)
    | ~ a_truth(implies(X2,X1)) ),
    thm147_1 ).

cnf(c_0_5,negated_conjecture,
    a_truth(implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3)))),
    thm147_3 ).

cnf(c_0_6,negated_conjecture,
    ( a_truth(implies(implies(X1,X2),implies(X1,X3)))
    | ~ a_truth(implies(X1,implies(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_7,negated_conjecture,
    ( a_truth(implies(X1,X2))
    | ~ a_truth(implies(X1,implies(X3,X2)))
    | ~ a_truth(implies(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_4,c_0_6]) ).

cnf(c_0_8,negated_conjecture,
    a_truth(implies(X1,implies(X2,X1))),
    thm147_2 ).

cnf(c_0_9,negated_conjecture,
    ( a_truth(implies(X1,X1))
    | ~ a_truth(implies(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,negated_conjecture,
    ~ a_truth(implies(sk1,sk1)),
    thm147_5 ).

cnf(c_0_11,negated_conjecture,
    a_truth(implies(X1,X1)),
    inference(spm,[status(thm)],[c_0_9,c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem    : LCL414-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.09  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.09/0.30  % Computer : n023.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Thu Aug 24 18:43:27 EDT 2023
% 0.09/0.31  % CPUTime  : 
% 0.15/0.46  start to proof: theBenchmark
% 0.15/0.47  % Version  : CSE_E---1.5
% 0.15/0.47  % Problem  : theBenchmark.p
% 0.15/0.47  % Proof found
% 0.15/0.47  % SZS status Theorem for theBenchmark.p
% 0.15/0.47  % SZS output start Proof
% See solution above
% 0.15/0.47  % Total time : 0.003000 s
% 0.15/0.47  % SZS output end Proof
% 0.15/0.47  % Total time : 0.004000 s
%------------------------------------------------------------------------------