%------------------------------------------------------------------------------
% 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 : n026.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   : Unsatisfiable 0.20s 0.59s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   33 (   8 unt;  23 typ;   0 def)
%            Number of atoms       :   14 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    8 (   4   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 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   :    4 (   0 sgn;   0   !;   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,
    ax0_sk1: ( $i * $i ) > $i ).

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

tff(decl_26,type,
    ax0_sk2: ( $i * $i * $i ) > $i ).

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

tff(decl_28,type,
    ax0_sk3: ( $i * $i ) > $i ).

tff(decl_29,type,
    ax0_sk4: ( $i * $i ) > $i ).

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

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

tff(decl_32,type,
    ax0_sk5: ( $i * $i * $i ) > $i ).

tff(decl_33,type,
    closed: $i > $o ).

tff(decl_34,type,
    ax0_sk6: $i > $i ).

tff(decl_35,type,
    open: $i > $o ).

tff(decl_36,type,
    ax0_sk7: $i > $i ).

tff(decl_37,type,
    ax0_sk8: $i > $i ).

tff(decl_38,type,
    ax0_sk9: ( $i * $i ) > $i ).

tff(decl_39,type,
    ax0_sk10: ( $i * $i ) > $i ).

tff(decl_40,type,
    ax0_sk11: ( $i * $i ) > $i ).

tff(decl_41,type,
    ax0_sk12: ( $i * $i ) > $i ).

tff(decl_42,type,
    ax0_sk13: ( $i * $i ) > $i ).

tff(decl_43,type,
    sk14: $i ).

tff(decl_44,type,
    sk15: $i ).

cnf(c1_35,axiom,
    ( X1 = X2
    | open(X1)
    | ~ part_of(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',c1_35) ).

cnf(theorem_2_7_2_68,negated_conjecture,
    part_of(sk15,sk14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_2_68) ).

cnf(theorem_2_7_2_69,negated_conjecture,
    ~ open(sk15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_2_69) ).

cnf(theorem_2_7_2_67,negated_conjecture,
    open(sk14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_2_67) ).

cnf(c_0_4,axiom,
    ( X1 = X2
    | open(X1)
    | ~ part_of(X1,X2) ),
    c1_35 ).

cnf(c_0_5,negated_conjecture,
    part_of(sk15,sk14),
    theorem_2_7_2_68 ).

cnf(c_0_6,negated_conjecture,
    ~ open(sk15),
    theorem_2_7_2_69 ).

cnf(c_0_7,negated_conjecture,
    open(sk14),
    theorem_2_7_2_67 ).

cnf(c_0_8,negated_conjecture,
    sk14 = sk15,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_6]),
    [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
% 0.12/0.34  % Computer : n026.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   : Tue Aug 29 20:43:51 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.20/0.57  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 : 0.010000 s
% 0.20/0.59  % SZS output end Proof
% 0.20/0.59  % Total time : 0.013000 s
%------------------------------------------------------------------------------