%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GEO011-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n023.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  : 600s
% DateTime : Sat Jul 16 05:23:33 EDT 2022

% Result   : Unsatisfiable 0.19s 0.37s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   6 unt;   4 nHn;  10 RR)
%            Number of literals    :   19 (   0 equ;   5 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(colinearity4,axiom,
    ( ~ colinear(X,Y,Z)
    | between(X,Y,Z)
    | between(Y,Z,X)
    | between(Z,X,Y) ) ).

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

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

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

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

cnf(refute_0_0,plain,
    ( ~ colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
    | between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
    | between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
    | between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
    inference(subst,[],[colinearity4:[bind(X,$fot(lower_dimension_point_1)),bind(Y,$fot(lower_dimension_point_2)),bind(Z,$fot(lower_dimension_point_3))]]) ).

cnf(refute_0_1,plain,
    ( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
    | between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
    | between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
    inference(resolve,[$cnf( colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) )],[prove_lower_dimension_points_not_colinear,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
    | between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
    inference(resolve,[$cnf( between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) )],[refute_0_1,lower_dimension1]) ).

cnf(refute_0_3,plain,
    between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    inference(resolve,[$cnf( between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) )],[refute_0_2,lower_dimension2]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) )],[refute_0_3,lower_dimension3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO011-5 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n023.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  : 600
% 0.12/0.34  % DateTime : Fri Jun 17 17:53:34 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.37  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.37  
% 0.19/0.37  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.37  
%------------------------------------------------------------------------------