%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO011-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n027.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 0.58s 0.65s
% Output   : CNFRefutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   27 (  10 unt;  13 typ;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   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  :   41 (  10   >;  31   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-6 aty)
%            Number of variables   :   12 (   0 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,
    colinear: ( $i * $i * $i ) > $o ).

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

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

cnf(t10_4,axiom,
    ( colinear(X3,X1,X2)
    | ~ colinear(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_4) ).

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(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(lower_dimension2,axiom,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension2) ).

cnf(lower_dimension1,axiom,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension1) ).

cnf(lower_dimension3,axiom,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',lower_dimension3) ).

cnf(c_0_6,axiom,
    ( colinear(X3,X1,X2)
    | ~ colinear(X1,X2,X3) ),
    t10_4 ).

cnf(c_0_7,negated_conjecture,
    colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    prove_lower_dimension_points_not_colinear ).

cnf(c_0_8,axiom,
    ( between(X1,X2,X3)
    | between(X2,X3,X1)
    | between(X3,X1,X2)
    | ~ colinear(X1,X2,X3) ),
    colinearity4 ).

cnf(c_0_9,negated_conjecture,
    colinear(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,axiom,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    lower_dimension2 ).

cnf(c_0_11,axiom,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    lower_dimension1 ).

cnf(c_0_12,axiom,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    lower_dimension3 ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]),c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GEO011-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.04/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 23:07:23 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.58/0.62  start to proof: theBenchmark
% 0.58/0.65  % Version  : CSE_E---1.5
% 0.58/0.65  % Problem  : theBenchmark.p
% 0.58/0.65  % Proof found
% 0.58/0.65  % SZS status Theorem for theBenchmark.p
% 0.58/0.65  % SZS output start Proof
% See solution above
% 0.58/0.65  % Total time : 0.016000 s
% 0.58/0.65  % SZS output end Proof
% 0.58/0.65  % Total time : 0.021000 s
%------------------------------------------------------------------------------