%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN963+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n006.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 02:00:22 EDT 2023

% Result   : Theorem 0.16s 0.58s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   2 unt;   3 typ;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   13 (   6   ~;   4   |;   1   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    9 (   3 sgn;   2   !;   4   ?;   0   :)

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

tff(decl_23,type,
    esk1_0: $i ).

tff(decl_24,type,
    esk2_0: $i ).

fof(prove_this,conjecture,
    ( ? [X1] : p(X1)
  <=> ? [X2] : p(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(c_0_1,negated_conjecture,
    ~ ( ? [X1] : p(X1)
    <=> ? [X2] : p(X2) ),
    inference(assume_negation,[status(cth)],[prove_this]) ).

fof(c_0_2,negated_conjecture,
    ! [X3,X4] :
      ( ( ~ p(X3)
        | ~ p(X4) )
      & ( p(esk1_0)
        | p(esk2_0) ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( ~ p(X1)
    | ~ p(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( p(esk1_0)
    | p(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ~ p(X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_4,c_0_5]),c_0_5]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SYN963+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.32  % Computer : n006.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit   : 300
% 0.13/0.32  % WCLimit    : 300
% 0.13/0.32  % DateTime   : Sat Aug 26 19:08:52 EDT 2023
% 0.13/0.32  % CPUTime  : 
% 0.16/0.57  start to proof: theBenchmark
% 0.16/0.58  % Version  : CSE_E---1.5
% 0.16/0.58  % Problem  : theBenchmark.p
% 0.16/0.58  % Proof found
% 0.16/0.58  % SZS status Theorem for theBenchmark.p
% 0.16/0.58  % SZS output start Proof
% See solution above
% 0.16/0.58  % Total time : 0.002000 s
% 0.16/0.58  % SZS output end Proof
% 0.16/0.58  % Total time : 0.004000 s
%------------------------------------------------------------------------------