%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : GEO055-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n015.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 04:07:28 EDT 2022

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   4 RR)
%            Number of literals    :    8 (   2 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-4 aty)
%            Number of variables   :   12 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_equidistance,negated_conjecture,
    ~ equidistant(v,reflection(u,v),u,v),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equidistance) ).

cnf(reflection,axiom,
    reflection(X1,X2) = extension(X1,X2,X1,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-2.ax',reflection) ).

cnf(segment_construction2,axiom,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).

cnf(c_0_3,negated_conjecture,
    ~ equidistant(v,reflection(u,v),u,v),
    prove_equidistance ).

cnf(c_0_4,axiom,
    reflection(X1,X2) = extension(X1,X2,X1,X2),
    reflection ).

cnf(c_0_5,negated_conjecture,
    ~ equidistant(v,extension(u,v,u,v),u,v),
    inference(rw,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_6,axiom,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    segment_construction2 ).

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
% 0.07/0.12  % Problem  : GEO055-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34  % Computer : n015.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  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 06:06:43 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.37  # No SInE strategy applied
% 0.13/0.37  # Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.13/0.37  # and selection function SelectNewComplexAHP.
% 0.13/0.37  #
% 0.13/0.37  # Presaturation interreduction done
% 0.13/0.37  
% 0.13/0.37  # Proof found!
% 0.13/0.37  # SZS status Unsatisfiable
% 0.13/0.37  # SZS output start CNFRefutation
% See solution above
% 0.13/0.37  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------