%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN729-1 : 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 : n001.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 01:54:09 EDT 2023

% Result   : Unsatisfiable 0.19s 0.57s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   22 (   6 unt;   6 typ;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   25 (  15   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   5   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   10 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    sk1: $i > $i ).

tff(decl_23,type,
    h: $i > $i ).

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

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

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

tff(decl_27,type,
    sk2: $i ).

cnf(thm72_6,negated_conjecture,
    ( ~ p(X1)
    | ~ l(sk2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm72_6) ).

cnf(thm72_1,negated_conjecture,
    ( l(X1,g(h(sk1(X1))))
    | ~ p(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm72_1) ).

cnf(thm72_5,negated_conjecture,
    p(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm72_5) ).

cnf(thm72_3,negated_conjecture,
    ( p(g(X1))
    | ~ p(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm72_3) ).

cnf(thm72_4,negated_conjecture,
    ( p(h(X1))
    | ~ p(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm72_4) ).

cnf(thm72_2,negated_conjecture,
    ( p(sk1(X1))
    | ~ p(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm72_2) ).

cnf(c_0_6,negated_conjecture,
    ( ~ p(X1)
    | ~ l(sk2,X1) ),
    thm72_6 ).

cnf(c_0_7,negated_conjecture,
    ( l(X1,g(h(sk1(X1))))
    | ~ p(X1) ),
    thm72_1 ).

cnf(c_0_8,negated_conjecture,
    p(sk2),
    thm72_5 ).

cnf(c_0_9,negated_conjecture,
    ~ p(g(h(sk1(sk2)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).

cnf(c_0_10,negated_conjecture,
    ( p(g(X1))
    | ~ p(X1) ),
    thm72_3 ).

cnf(c_0_11,negated_conjecture,
    ~ p(h(sk1(sk2))),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,negated_conjecture,
    ( p(h(X1))
    | ~ p(X1) ),
    thm72_4 ).

cnf(c_0_13,negated_conjecture,
    ~ p(sk1(sk2)),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_14,negated_conjecture,
    ( p(sk1(X1))
    | ~ p(X1) ),
    thm72_2 ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN729-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat Aug 26 21:30:01 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 0.19/0.57  % Version  : CSE_E---1.5
% 0.19/0.57  % Problem  : theBenchmark.p
% 0.19/0.57  % Proof found
% 0.19/0.57  % SZS status Theorem for theBenchmark.p
% 0.19/0.57  % SZS output start Proof
% See solution above
% 0.19/0.57  % Total time : 0.004000 s
% 0.19/0.57  % SZS output end Proof
% 0.19/0.57  % Total time : 0.006000 s
%------------------------------------------------------------------------------