%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN062-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n015.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 01:49:24 EDT 2023

% Result   : Unsatisfiable 0.19s 0.58s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   22 (   9 unt;   7 typ;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   23 (  13   ~;  10   |;   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  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    6 (   0 sgn;   0   !;   0   ?;   0   :)

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

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

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

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

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

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

tff(decl_28,type,
    a: $i ).

cnf(clause_4,axiom,
    ( big_h(X1)
    | ~ big_k(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

cnf(clause_6,negated_conjecture,
    big_k(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

cnf(clause_7,negated_conjecture,
    ~ big_j(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).

cnf(clause_3,axiom,
    ( big_j(X1)
    | ~ big_i(X1)
    | ~ big_h(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

cnf(clause_2,axiom,
    ( big_i(X1)
    | ~ big_f(X1)
    | ~ big_h(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

cnf(clause_5,negated_conjecture,
    big_f(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

cnf(c_0_6,axiom,
    ( big_h(X1)
    | ~ big_k(X1) ),
    clause_4 ).

cnf(c_0_7,negated_conjecture,
    big_k(a),
    clause_6 ).

cnf(c_0_8,negated_conjecture,
    ~ big_j(a),
    clause_7 ).

cnf(c_0_9,axiom,
    ( big_j(X1)
    | ~ big_i(X1)
    | ~ big_h(X1) ),
    clause_3 ).

cnf(c_0_10,negated_conjecture,
    big_h(a),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    ~ big_i(a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).

cnf(c_0_12,axiom,
    ( big_i(X1)
    | ~ big_f(X1)
    | ~ big_h(X1) ),
    clause_2 ).

cnf(c_0_13,negated_conjecture,
    big_f(a),
    clause_5 ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_10]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN062-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sat Aug 26 20:49:53 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 0.19/0.58  % Version  : CSE_E---1.5
% 0.19/0.58  % Problem  : theBenchmark.p
% 0.19/0.58  % Proof found
% 0.19/0.58  % SZS status Theorem for theBenchmark.p
% 0.19/0.58  % SZS output start Proof
% See solution above
% 0.19/0.58  % Total time : 0.003000 s
% 0.19/0.58  % SZS output end Proof
% 0.19/0.58  % Total time : 0.006000 s
%------------------------------------------------------------------------------