%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO086+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n002.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 : Wed Aug 30 22:46:01 EDT 2023

% Result   : Theorem 0.20s 0.59s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   34 (   5 unt;  23 typ;   0 def)
%            Number of atoms       :   23 (   4 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   18 (   6   ~;   4   |;   5   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   40 (  21   >;  19   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   2 con; 0-3 aty)
%            Number of variables   :   10 (   0 sgn;   8   !;   0   ?;   0   :)

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

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

tff(decl_24,type,
    sum: ( $i * $i ) > $i ).

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

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

tff(decl_27,type,
    meet: ( $i * $i * $i ) > $o ).

tff(decl_28,type,
    closed: $i > $o ).

tff(decl_29,type,
    open: $i > $o ).

tff(decl_30,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_31,type,
    esk2_3: ( $i * $i * $i ) > $i ).

tff(decl_32,type,
    esk3_2: ( $i * $i ) > $i ).

tff(decl_33,type,
    esk4_2: ( $i * $i ) > $i ).

tff(decl_34,type,
    esk5_3: ( $i * $i * $i ) > $i ).

tff(decl_35,type,
    esk6_1: $i > $i ).

tff(decl_36,type,
    esk7_1: $i > $i ).

tff(decl_37,type,
    esk8_1: $i > $i ).

tff(decl_38,type,
    esk9_2: ( $i * $i ) > $i ).

tff(decl_39,type,
    esk10_2: ( $i * $i ) > $i ).

tff(decl_40,type,
    esk11_2: ( $i * $i ) > $i ).

tff(decl_41,type,
    esk12_2: ( $i * $i ) > $i ).

tff(decl_42,type,
    esk13_2: ( $i * $i ) > $i ).

tff(decl_43,type,
    esk14_0: $i ).

tff(decl_44,type,
    esk15_0: $i ).

fof(theorem_2_7_2,conjecture,
    ! [X1,X8] :
      ( ( open(X1)
        & part_of(X8,X1) )
     => open(X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_2) ).

fof(c1,axiom,
    ! [X1,X2] :
      ( ( part_of(X2,X1)
        & X2 != X1 )
     => open(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+0.ax',c1) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1,X8] :
        ( ( open(X1)
          & part_of(X8,X1) )
       => open(X8) ),
    inference(assume_negation,[status(cth)],[theorem_2_7_2]) ).

fof(c_0_3,plain,
    ! [X50,X51] :
      ( ~ part_of(X51,X50)
      | X51 = X50
      | open(X51) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c1])]) ).

fof(c_0_4,negated_conjecture,
    ( open(esk14_0)
    & part_of(esk15_0,esk14_0)
    & ~ open(esk15_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

cnf(c_0_5,plain,
    ( X1 = X2
    | open(X1)
    | ~ part_of(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    part_of(esk15_0,esk14_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ~ open(esk15_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    open(esk14_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    esk14_0 = esk15_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GEO086+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n002.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   : Tue Aug 29 23:27:35 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.56  start to proof: theBenchmark
% 0.20/0.59  % Version  : CSE_E---1.5
% 0.20/0.59  % Problem  : theBenchmark.p
% 0.20/0.59  % Proof found
% 0.20/0.59  % SZS status Theorem for theBenchmark.p
% 0.20/0.59  % SZS output start Proof
% See solution above
% 0.20/0.59  % Total time : 0.012000 s
% 0.20/0.59  % SZS output end Proof
% 0.20/0.59  % Total time : 0.015000 s
%------------------------------------------------------------------------------