%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO035-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n016.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 22:45:39 EDT 2023

% Result   : Unsatisfiable 0.51s 0.56s
% Output   : CNFRefutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   21 (   6 unt;  13 typ;   0 def)
%            Number of atoms       :   10 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   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  :   32 (   7   >;  25   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-6 aty)
%            Number of variables   :   17 (   3 sgn;   0   !;   0   ?;   0   :)

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

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

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

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

tff(decl_26,type,
    lower_dimension_point_1: $i ).

tff(decl_27,type,
    lower_dimension_point_2: $i ).

tff(decl_28,type,
    lower_dimension_point_3: $i ).

tff(decl_29,type,
    euclid1: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_30,type,
    euclid2: ( $i * $i * $i * $i * $i ) > $i ).

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

tff(decl_32,type,
    v: $i ).

tff(decl_33,type,
    u: $i ).

tff(decl_34,type,
    w: $i ).

cnf(identity_for_equidistance,axiom,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).

cnf(segment_construction2,axiom,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).

cnf(prove_null_extension,negated_conjecture,
    v != extension(u,v,w,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_extension) ).

cnf(c_0_3,axiom,
    ( X1 = X2
    | ~ equidistant(X1,X2,X3,X3) ),
    identity_for_equidistance ).

cnf(c_0_4,axiom,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    segment_construction2 ).

cnf(c_0_5,negated_conjecture,
    v != extension(u,v,w,w),
    prove_null_extension ).

cnf(c_0_6,plain,
    extension(X1,X2,X3,X3) = X2,
    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
% 0.03/0.11  % Problem    : GEO035-3 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.11  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32  % Computer : n016.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 29 20:56:31 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.51/0.55  start to proof: theBenchmark
% 0.51/0.56  % Version  : CSE_E---1.5
% 0.51/0.56  % Problem  : theBenchmark.p
% 0.51/0.56  % Proof found
% 0.51/0.56  % SZS status Theorem for theBenchmark.p
% 0.51/0.56  % SZS output start Proof
% See solution above
% 0.51/0.56  % Total time : 0.004000 s
% 0.51/0.56  % SZS output end Proof
% 0.51/0.56  % Total time : 0.007000 s
%------------------------------------------------------------------------------