%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWB002+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n028.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 : Thu Aug 31 20:01:44 EDT 2023

% Result   : Theorem 0.19s 0.57s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   3 unt;   5 typ;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   5   ~;   2   |;   4   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   1   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    9 (   0 sgn;   2   !;   5   ?;   0   :)

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

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

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

tff(decl_25,type,
    uri_ex_s: $i ).

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

fof(testcase_conclusion_fullish_002_Existential_Blank_Nodes,conjecture,
    ? [X1,X2] :
      ( iext(uri_ex_p,X1,X2)
      & iext(uri_ex_q,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_002_Existential_Blank_Nodes) ).

fof(testcase_premise_fullish_002_Existential_Blank_Nodes,axiom,
    ? [X3] :
      ( iext(uri_ex_p,uri_ex_s,X3)
      & iext(uri_ex_q,X3,uri_ex_s) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_002_Existential_Blank_Nodes) ).

fof(c_0_2,negated_conjecture,
    ~ ? [X1,X2] :
        ( iext(uri_ex_p,X1,X2)
        & iext(uri_ex_q,X2,X1) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_002_Existential_Blank_Nodes]) ).

fof(c_0_3,negated_conjecture,
    ! [X4,X5] :
      ( ~ iext(uri_ex_p,X4,X5)
      | ~ iext(uri_ex_q,X5,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])]) ).

fof(c_0_4,plain,
    ( iext(uri_ex_p,uri_ex_s,esk1_0)
    & iext(uri_ex_q,esk1_0,uri_ex_s) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_002_Existential_Blank_Nodes])]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ iext(uri_ex_p,X1,X2)
    | ~ iext(uri_ex_q,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    iext(uri_ex_p,uri_ex_s,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    iext(uri_ex_q,esk1_0,uri_ex_s),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWB002+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n028.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   : Sun Aug 27 07:38:23 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.55  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
%------------------------------------------------------------------------------