%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN066-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n021.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 01:49:27 EDT 2023

% Result   : Unsatisfiable 0.22s 0.60s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   21 (   6 unt;   8 typ;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (   6   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (   7   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   24 (  11 sgn;   0   !;   0   ?;   0   :)

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

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

tff(decl_24,type,
    g: $i > $i ).

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

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

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

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

tff(decl_29,type,
    a: $i ).

cnf(clause_5,axiom,
    ( big_r(X3,X3)
    | ~ big_q(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

cnf(clause_4,axiom,
    ( big_p(X1,X2)
    | big_q(i(X1,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

cnf(clause_6,negated_conjecture,
    ~ big_r(a,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

cnf(clause_3,axiom,
    ( big_q(h(X1,X2),g(X1))
    | ~ big_p(f(X1,X2),g(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

cnf(c_0_4,axiom,
    ( big_r(X3,X3)
    | ~ big_q(X1,X2) ),
    clause_5 ).

cnf(c_0_5,axiom,
    ( big_p(X1,X2)
    | big_q(i(X1,X2),X1) ),
    clause_4 ).

cnf(c_0_6,negated_conjecture,
    ~ big_r(a,X1),
    clause_6 ).

cnf(c_0_7,plain,
    ( big_r(X1,X1)
    | big_p(X2,X3) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_8,axiom,
    ( big_q(h(X1,X2),g(X1))
    | ~ big_p(f(X1,X2),g(X1)) ),
    clause_3 ).

cnf(c_0_9,negated_conjecture,
    big_p(X1,X2),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,plain,
    big_q(h(X1,X2),g(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).

cnf(c_0_11,plain,
    big_r(X1,X1),
    inference(spm,[status(thm)],[c_0_4,c_0_10]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_6,c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN066-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 19:47:27 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.22/0.59  start to proof: theBenchmark
% 0.22/0.60  % Version  : CSE_E---1.5
% 0.22/0.60  % Problem  : theBenchmark.p
% 0.22/0.60  % Proof found
% 0.22/0.60  % SZS status Theorem for theBenchmark.p
% 0.22/0.60  % SZS output start Proof
% See solution above
% 0.22/0.60  % Total time : 0.003000 s
% 0.22/0.60  % SZS output end Proof
% 0.22/0.60  % Total time : 0.006000 s
%------------------------------------------------------------------------------