%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN101-1.002.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n027.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 01:50:06 EDT 2023

% Result   : Unsatisfiable 0.22s 0.62s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   24 (   7 unt;  10 typ;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   30 (  16   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (   8   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   14 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    a: $i ).

tff(decl_23,type,
    p_1_2: ( $i * $i ) > $o ).

tff(decl_24,type,
    p_2_2: ( $i * $i ) > $o ).

tff(decl_25,type,
    p_1_1: ( $i * $i ) > $o ).

tff(decl_26,type,
    q_2_2: ( $i * $i ) > $o ).

tff(decl_27,type,
    q_1_1: ( $i * $i ) > $o ).

tff(decl_28,type,
    q_1_2: ( $i * $i ) > $o ).

tff(decl_29,type,
    nq_1: $i > $o ).

tff(decl_30,type,
    nq_2: $i > $o ).

tff(decl_31,type,
    b: $i ).

cnf(n_s2_type11_1,axiom,
    ( p_1_2(X1,X2)
    | ~ p_2_2(X1,X2)
    | ~ p_1_1(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_type11_1) ).

cnf(n_t2_1,axiom,
    ( p_1_1(X1,X2)
    | ~ nq_1(X1)
    | ~ nq_2(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_t2_1) ).

cnf(n_t2_3,axiom,
    ( p_2_2(X1,X2)
    | ~ nq_1(X1)
    | ~ nq_2(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_t2_3) ).

cnf(n_s2_goal_1,negated_conjecture,
    ~ p_1_2(a,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_s2_goal_1) ).

cnf(n_3,axiom,
    nq_2(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_3) ).

cnf(n_1,axiom,
    nq_1(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_1) ).

cnf(c_0_6,axiom,
    ( p_1_2(X1,X2)
    | ~ p_2_2(X1,X2)
    | ~ p_1_1(X1,X2) ),
    n_s2_type11_1 ).

cnf(c_0_7,axiom,
    ( p_1_1(X1,X2)
    | ~ nq_1(X1)
    | ~ nq_2(X2) ),
    n_t2_1 ).

cnf(c_0_8,axiom,
    ( p_2_2(X1,X2)
    | ~ nq_1(X1)
    | ~ nq_2(X2) ),
    n_t2_3 ).

cnf(c_0_9,negated_conjecture,
    ~ p_1_2(a,a),
    n_s2_goal_1 ).

cnf(c_0_10,plain,
    ( p_1_2(X1,X2)
    | ~ nq_2(X2)
    | ~ nq_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).

cnf(c_0_11,axiom,
    nq_2(a),
    n_3 ).

cnf(c_0_12,axiom,
    nq_1(a),
    n_1 ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SYN101-1.002.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.15  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36  % Computer : n027.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat Aug 26 21:32:50 EDT 2023
% 0.22/0.36  % CPUTime  : 
% 0.22/0.60  start to proof: theBenchmark
% 0.22/0.62  % Version  : CSE_E---1.5
% 0.22/0.62  % Problem  : theBenchmark.p
% 0.22/0.62  % Proof found
% 0.22/0.62  % SZS status Theorem for theBenchmark.p
% 0.22/0.62  % SZS output start Proof
% See solution above
% 0.22/0.62  % Total time : 0.004000 s
% 0.22/0.62  % SZS output end Proof
% 0.22/0.62  % Total time : 0.007000 s
%------------------------------------------------------------------------------