%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO022-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n012.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 0.70s 0.89s
% Output   : Refutation 0.70s
% 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(d2,axiom,
    ( ~ equidistant(X41,X42,X40,X43)
    | equidistant(X40,X43,X41,X42) ),
    input ).

cnf(c20,plain,
    equidistant(w,x,u,v),
    inference(resolution,status(thm),[d2,u_to_v_equals_w_to_x]) ).

cnf(transitivity_for_equidistance,axiom,
    ( ~ equidistant(X11,X12,X8,X10)
    | ~ equidistant(X11,X12,X7,X9)
    | equidistant(X8,X10,X7,X9) ),
    input ).

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

cnf(c13,plain,
    ( ~ equidistant(w,x,X259,X260)
    | equidistant(X259,X260,y,z) ),
    inference(resolution,status(thm),[w_to_x_equals_y_to_z,transitivity_for_equidistance]) ).

cnf(c309,plain,
    equidistant(u,v,y,z),
    inference(resolution,status(thm),[c13,c20]) ).

cnf(c375,plain,
    $false,
    inference(resolution,status(thm),[c309,prove_transitivity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO022-3 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 09:55:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.70/0.89  # Version:  1.3
% 0.70/0.89  # SZS status Unsatisfiable
% 0.70/0.89  # SZS output start CNFRefutation
% See solution above
% 0.70/0.89  
% 0.70/0.89  # Initial clauses    : 39
% 0.70/0.89  # Processed clauses  : 68
% 0.70/0.89  # Factors computed   : 0
% 0.70/0.89  # Resolvents computed: 369
% 0.70/0.89  # Tautologies deleted: 1
% 0.70/0.89  # Forward subsumed   : 130
% 0.70/0.89  # Backward subsumed  : 0
% 0.70/0.89  # -------- CPU Time ---------
% 0.70/0.89  # User time          : 0.535 s
% 0.70/0.89  # System time        : 0.015 s
% 0.70/0.89  # Total time         : 0.550 s
%------------------------------------------------------------------------------