%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN044+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n019.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 01:49:15 EDT 2023

% Result   : Theorem 0.20s 0.60s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   22 (   4 unt;   3 typ;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   37 (  14   ~;  15   |;   3   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   4 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    q: $o ).

tff(decl_23,type,
    r: $o ).

tff(decl_24,type,
    p: $o ).

fof(pel10,conjecture,
    ( p
  <=> q ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10) ).

fof(pel10_3,axiom,
    ( p
   => ( q
      | r ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10_3) ).

fof(pel10_1,axiom,
    ( q
   => r ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10_1) ).

fof(pel10_2,axiom,
    ( r
   => ( p
      & q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10_2) ).

fof(c_0_4,negated_conjecture,
    ~ ( p
    <=> q ),
    inference(assume_negation,[status(cth)],[pel10]) ).

fof(c_0_5,plain,
    ( ~ p
    | q
    | r ),
    inference(fof_nnf,[status(thm)],[pel10_3]) ).

fof(c_0_6,negated_conjecture,
    ( ( ~ p
      | ~ q )
    & ( p
      | q ) ),
    inference(fof_nnf,[status(thm)],[c_0_4]) ).

fof(c_0_7,plain,
    ( ~ q
    | r ),
    inference(fof_nnf,[status(thm)],[pel10_1]) ).

fof(c_0_8,plain,
    ( ( p
      | ~ r )
    & ( q
      | ~ r ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[pel10_2])]) ).

cnf(c_0_9,plain,
    ( q
    | r
    | ~ p ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    ( p
    | q ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    ( r
    | ~ q ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( p
    | ~ r ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    r,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ p
    | ~ q ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_15,plain,
    p,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).

cnf(c_0_16,plain,
    ( q
    | ~ r ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_17,negated_conjecture,
    ~ q,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).

cnf(c_0_18,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_13])]),c_0_17]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN044+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n019.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 19:40:58 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.58  start to proof: theBenchmark
% 0.20/0.60  % Version  : CSE_E---1.5
% 0.20/0.60  % Problem  : theBenchmark.p
% 0.20/0.60  % Proof found
% 0.20/0.60  % SZS status Theorem for theBenchmark.p
% 0.20/0.60  % SZS output start Proof
% See solution above
% 0.20/0.60  % Total time : 0.003000 s
% 0.20/0.60  % SZS output end Proof
% 0.20/0.60  % Total time : 0.006000 s
%------------------------------------------------------------------------------