%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN979+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 : n025.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 02:00:26 EDT 2023

% Result   : Theorem 0.19s 0.58s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   4 unt;   6 typ;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :   12 (   5 avg)
%            Number of connectives :   41 (   7   ~;   4   |;  22   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   4   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   14 (   4 sgn;   6   !;   4   ?;   0   :)

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

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

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

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

tff(decl_26,type,
    esk1_0: $i ).

tff(decl_27,type,
    esk2_0: $i ).

fof(prove_this,conjecture,
    ! [X1,X2] :
    ? [X3,X4] :
      ( ( ( q(X3)
         => p(X3,X1) )
        & q(X1)
        & q(X2)
        & ( r(X4)
         => p(X2,X4) )
        & r(X1)
        & r(X2)
        & ( s(X1)
         => p(X3,X4) )
        & s(X1) )
     => p(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(c_0_1,negated_conjecture,
    ~ ! [X1,X2] :
      ? [X3,X4] :
        ( ( ( q(X3)
           => p(X3,X1) )
          & q(X1)
          & q(X2)
          & ( r(X4)
           => p(X2,X4) )
          & r(X1)
          & r(X2)
          & ( s(X1)
           => p(X3,X4) )
          & s(X1) )
       => p(X1,X2) ),
    inference(assume_negation,[status(cth)],[prove_this]) ).

fof(c_0_2,negated_conjecture,
    ! [X7,X8] :
      ( ( ~ q(X7)
        | p(X7,esk1_0) )
      & q(esk1_0)
      & q(esk2_0)
      & ( ~ r(X8)
        | p(esk2_0,X8) )
      & r(esk1_0)
      & r(esk2_0)
      & ( ~ s(esk1_0)
        | p(X7,X8) )
      & s(esk1_0)
      & ~ p(esk1_0,esk2_0) ),
    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,X2)
    | ~ s(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    s(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ~ p(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    p(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4])]) ).

cnf(c_0_7,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SYN979+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n025.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 20:21:23 EDT 2023
% 0.19/0.34  % CPUTime  : 
% 0.19/0.57  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 : 0.004000 s
% 0.19/0.58  % SZS output end Proof
% 0.19/0.58  % Total time : 0.006000 s
%------------------------------------------------------------------------------