%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN726-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n032.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  1 01:54:08 EDT 2023

% Result   : Unsatisfiable 0.14s 0.49s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   28 (  10 unt;   6 typ;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   34 (  16   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   2   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   32 (   4 sgn;   0   !;   0   ?;   0   :)

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

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

tff(decl_24,type,
    sk1: $i ).

tff(decl_25,type,
    sk2: $i ).

tff(decl_26,type,
    sk3: $i ).

tff(decl_27,type,
    sk4: $i ).

cnf(thm400_1,negated_conjecture,
    ( p(X1,X2)
    | ~ p(X1,X3)
    | ~ p(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400_1) ).

cnf(thm400_4,negated_conjecture,
    ( p(X1,X2)
    | q(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400_4) ).

cnf(thm400_5,negated_conjecture,
    ~ p(sk1,sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400_5) ).

cnf(thm400_3,negated_conjecture,
    ( q(X1,X2)
    | ~ q(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400_3) ).

cnf(thm400_2,negated_conjecture,
    ( q(X1,X2)
    | ~ q(X1,X3)
    | ~ q(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400_2) ).

cnf(thm400_6,negated_conjecture,
    ~ q(sk3,sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400_6) ).

cnf(c_0_6,negated_conjecture,
    ( p(X1,X2)
    | ~ p(X1,X3)
    | ~ p(X3,X2) ),
    thm400_1 ).

cnf(c_0_7,negated_conjecture,
    ( p(X1,X2)
    | q(X1,X2) ),
    thm400_4 ).

cnf(c_0_8,negated_conjecture,
    ~ p(sk1,sk2),
    thm400_5 ).

cnf(c_0_9,negated_conjecture,
    ( q(X1,X2)
    | p(X3,X2)
    | ~ p(X3,X1) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    ( q(X1,X2)
    | ~ q(X2,X1) ),
    thm400_3 ).

cnf(c_0_11,negated_conjecture,
    q(sk1,sk2),
    inference(spm,[status(thm)],[c_0_8,c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    ( q(X1,X2)
    | q(X2,X3)
    | p(X1,X3) ),
    inference(spm,[status(thm)],[c_0_9,c_0_7]) ).

cnf(c_0_13,negated_conjecture,
    ( q(X1,X2)
    | ~ q(X1,X3)
    | ~ q(X3,X2) ),
    thm400_2 ).

cnf(c_0_14,negated_conjecture,
    q(sk2,sk1),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    ( q(X1,sk2)
    | q(sk1,X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    ( q(X1,sk1)
    | ~ q(X1,sk2) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    q(X1,sk1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_15]),c_0_16]) ).

cnf(c_0_18,negated_conjecture,
    q(sk1,X1),
    inference(spm,[status(thm)],[c_0_10,c_0_17]) ).

cnf(c_0_19,negated_conjecture,
    ~ q(sk3,sk4),
    thm400_6 ).

cnf(c_0_20,negated_conjecture,
    q(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_17])]) ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SYN726-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.10  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % 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   : Sat Aug 26 19:30:14 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.14/0.48  start to proof: theBenchmark
% 0.14/0.49  % Version  : CSE_E---1.5
% 0.14/0.49  % Problem  : theBenchmark.p
% 0.14/0.49  % Proof found
% 0.14/0.49  % SZS status Theorem for theBenchmark.p
% 0.14/0.49  % SZS output start Proof
% See solution above
% 0.14/0.49  % Total time : 0.004000 s
% 0.14/0.49  % SZS output end Proof
% 0.14/0.49  % Total time : 0.006000 s
%------------------------------------------------------------------------------