%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO022-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n019.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 05:57:43 EDT 2022

% Result   : Unsatisfiable 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_transitivity,negated_conjecture,
    ~ equidistant(u,v,y,z),
    input ).

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

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

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

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

cnf(c24,plain,
    equidistant(X59,X60,X59,X60),
    inference(resolution,status(thm),[c7,reflexivity_for_equidistance]) ).

cnf(c29,plain,
    ( ~ equidistant(X101,X99,X100,X98)
    | equidistant(X100,X98,X101,X99) ),
    inference(resolution,status(thm),[c24,transitivity_for_equidistance]) ).

cnf(c73,plain,
    equidistant(w,x,u,v),
    inference(resolution,status(thm),[c29,u_to_v_equals_w_to_x]) ).

cnf(w_to_x_equals_y_to_z,plain,
    equidistant(w,x,y,z),
    input ).

cnf(c11,plain,
    ( ~ equidistant(w,x,X300,X299)
    | equidistant(X300,X299,y,z) ),
    inference(resolution,status(thm),[w_to_x_equals_y_to_z,transitivity_for_equidistance]) ).

cnf(c229,plain,
    equidistant(u,v,y,z),
    inference(resolution,status(thm),[c11,c73]) ).

cnf(c242,plain,
    $false,
    inference(resolution,status(thm),[c229,prove_transitivity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO022-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n019.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 19:24:09 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.60/0.79  # Version:  1.3
% 0.60/0.79  # SZS status Unsatisfiable
% 0.60/0.79  # SZS output start CNFRefutation
% See solution above
% 0.60/0.79  
% 0.60/0.79  # Initial clauses    : 31
% 0.60/0.79  # Processed clauses  : 65
% 0.60/0.79  # Factors computed   : 0
% 0.60/0.79  # Resolvents computed: 239
% 0.60/0.79  # Tautologies deleted: 1
% 0.60/0.79  # Forward subsumed   : 49
% 0.60/0.79  # Backward subsumed  : 0
% 0.60/0.79  # -------- CPU Time ---------
% 0.60/0.79  # User time          : 0.428 s
% 0.60/0.79  # System time        : 0.011 s
% 0.60/0.79  # Total time         : 0.439 s
%------------------------------------------------------------------------------