%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO011-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/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 : Wed Aug 30 22:45:29 EDT 2023

% Result   : Unsatisfiable 0.19s 0.57s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   20 (   9 unt;   9 typ;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (   6   >;  13   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-5 aty)
%            Number of variables   :    6 (   0 sgn;   0   !;   0   ?;   0   :)

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

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

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

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

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

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

tff(decl_28,type,
    lower_dimension_point_1: $i ).

tff(decl_29,type,
    lower_dimension_point_2: $i ).

tff(decl_30,type,
    lower_dimension_point_3: $i ).

cnf(colinearity4,axiom,
    ( between(X1,X2,X3)
    | between(X2,X3,X1)
    | between(X3,X1,X2)
    | ~ colinear(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-1.ax',colinearity4) ).

cnf(prove_lower_dimension_points_not_colinear,negated_conjecture,
    colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lower_dimension_points_not_colinear) ).

cnf(lower_dimension1,axiom,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension1) ).

cnf(lower_dimension2,axiom,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension2) ).

cnf(lower_dimension3,axiom,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_dimension3) ).

cnf(c_0_5,axiom,
    ( between(X1,X2,X3)
    | between(X2,X3,X1)
    | between(X3,X1,X2)
    | ~ colinear(X1,X2,X3) ),
    colinearity4 ).

cnf(c_0_6,negated_conjecture,
    colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    prove_lower_dimension_points_not_colinear ).

cnf(c_0_7,axiom,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    lower_dimension1 ).

cnf(c_0_8,axiom,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    lower_dimension2 ).

cnf(c_0_9,axiom,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    lower_dimension3 ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8]),c_0_9]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO011-5 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n028.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 19:35:56 EDT 2023
% 0.13/0.34  % 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 : 0.007000 s
%------------------------------------------------------------------------------