%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO015-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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  : 600s
% DateTime : Sat Jul 16 05:57:39 EDT 2022

% Result   : Unsatisfiable 0.47s 0.63s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_symmetry,negated_conjecture,
    ~ equidistant(w,x,u,v),
    input ).

cnf(u_to_v_equals_w_to_x,plain,
    equidistant(u,v,w,x),
    input ).

cnf(transitivity_for_equidistance,axiom,
    ( ~ equidistant(X10,X8,X7,X9)
    | ~ equidistant(X10,X8,X6,X5)
    | equidistant(X7,X9,X6,X5) ),
    input ).

cnf(reflexivity_for_equidistance,axiom,
    equidistant(X4,X3,X3,X4),
    input ).

cnf(c7,plain,
    ( ~ equidistant(X53,X51,X50,X52)
    | equidistant(X50,X52,X51,X53) ),
    inference(resolution,status(thm),[transitivity_for_equidistance,reflexivity_for_equidistance]) ).

cnf(c23,plain,
    equidistant(X54,X55,X54,X55),
    inference(resolution,status(thm),[c7,reflexivity_for_equidistance]) ).

cnf(c26,plain,
    ( ~ equidistant(X95,X96,X94,X93)
    | equidistant(X94,X93,X95,X96) ),
    inference(resolution,status(thm),[c23,transitivity_for_equidistance]) ).

cnf(c59,plain,
    equidistant(w,x,u,v),
    inference(resolution,status(thm),[c26,u_to_v_equals_w_to_x]) ).

cnf(c73,plain,
    $false,
    inference(resolution,status(thm),[c59,prove_symmetry]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GEO015-2 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.15  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.37  % Computer : n027.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 600
% 0.15/0.37  % DateTime : Fri Jun 17 19:05:22 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.47/0.63  # Version:  1.3
% 0.47/0.63  # SZS status Unsatisfiable
% 0.47/0.63  # SZS output start CNFRefutation
% See solution above
% 0.47/0.63  
% 0.47/0.63  # Initial clauses    : 30
% 0.47/0.63  # Processed clauses  : 33
% 0.47/0.63  # Factors computed   : 0
% 0.47/0.63  # Resolvents computed: 70
% 0.47/0.63  # Tautologies deleted: 1
% 0.47/0.63  # Forward subsumed   : 10
% 0.47/0.63  # Backward subsumed  : 0
% 0.47/0.63  # -------- CPU Time ---------
% 0.47/0.63  # User time          : 0.229 s
% 0.47/0.63  # System time        : 0.020 s
% 0.47/0.63  # Total time         : 0.249 s
%------------------------------------------------------------------------------