%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO080-1 : 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 : n024.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 22:45:58 EDT 2023

% Result   : Unsatisfiable 0.21s 0.59s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   30 (   4 unt;  22 typ;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   4   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   40 (  21   >;  19   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   1 con; 0-3 aty)
%            Number of variables   :    9 (   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 ).

cnf(part_of_defn_3,axiom,
    ( part_of(X1,X2)
    | ~ incident_c(ax0_sk1(X1,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_3) ).

cnf(part_of_defn_2,axiom,
    ( incident_c(ax0_sk1(X1,X2),X1)
    | part_of(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004-0.ax',part_of_defn_2) ).

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

cnf(c_0_3,axiom,
    ( part_of(X1,X2)
    | ~ incident_c(ax0_sk1(X1,X2),X2) ),
    part_of_defn_3 ).

cnf(c_0_4,axiom,
    ( incident_c(ax0_sk1(X1,X2),X1)
    | part_of(X1,X2) ),
    part_of_defn_2 ).

cnf(c_0_5,negated_conjecture,
    ~ part_of(sk14,sk14),
    prove_reflexivity ).

cnf(c_0_6,plain,
    part_of(X1,X1),
    inference(spm,[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
% 0.11/0.12  % Problem    : GEO080-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n024.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 20:53:23 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.21/0.57  start to proof: theBenchmark
% 0.21/0.59  % Version  : CSE_E---1.5
% 0.21/0.59  % Problem  : theBenchmark.p
% 0.21/0.59  % Proof found
% 0.21/0.59  % SZS status Theorem for theBenchmark.p
% 0.21/0.59  % SZS output start Proof
% See solution above
% 0.21/0.59  % Total time : 0.009000 s
% 0.21/0.59  % SZS output end Proof
% 0.21/0.59  % Total time : 0.013000 s
%------------------------------------------------------------------------------