%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO014-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n032.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 05:57:38 EDT 2022

% Result   : Unsatisfiable 0.14s 0.46s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_reflexivity,negated_conjecture,
    ~ equidistant(u,v,u,v),
    input ).

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

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

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

cnf(c19,plain,
    equidistant(X55,X54,X55,X54),
    inference(resolution,status(thm),[c7,reflexivity_for_equidistance]) ).

cnf(c22,plain,
    $false,
    inference(resolution,status(thm),[c19,prove_reflexivity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : GEO014-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.10  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 600
% 0.10/0.29  % DateTime : Sat Jun 18 09:18:01 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 0.14/0.46  # Version:  1.3
% 0.14/0.46  # SZS status Unsatisfiable
% 0.14/0.46  # SZS output start CNFRefutation
% See solution above
% 0.14/0.46  
% 0.14/0.46  # Initial clauses    : 29
% 0.14/0.46  # Processed clauses  : 18
% 0.14/0.46  # Factors computed   : 0
% 0.14/0.46  # Resolvents computed: 19
% 0.14/0.46  # Tautologies deleted: 1
% 0.14/0.46  # Forward subsumed   : 3
% 0.14/0.46  # Backward subsumed  : 0
% 0.14/0.46  # -------- CPU Time ---------
% 0.14/0.46  # User time          : 0.154 s
% 0.14/0.46  # System time        : 0.015 s
% 0.14/0.46  # Total time         : 0.169 s
%------------------------------------------------------------------------------