%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO015-3 : 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 05:57:39 EDT 2022

% Result   : Unsatisfiable 0.40s 0.56s
% Output   : Refutation 0.40s
% 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(d1,axiom,
    equidistant(X6,X5,X6,X5),
    input ).

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

cnf(c8,plain,
    ( ~ equidistant(X96,X95,X98,X97)
    | equidistant(X98,X97,X96,X95) ),
    inference(resolution,status(thm),[transitivity_for_equidistance,d1]) ).

cnf(c55,plain,
    equidistant(w,x,u,v),
    inference(resolution,status(thm),[c8,u_to_v_equals_w_to_x]) ).

cnf(c68,plain,
    $false,
    inference(resolution,status(thm),[c55,prove_symmetry]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GEO015-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun 18 01:40:54 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.40/0.56  # Version:  1.3
% 0.40/0.56  # SZS status Unsatisfiable
% 0.40/0.56  # SZS output start CNFRefutation
% See solution above
% 0.40/0.56  
% 0.40/0.56  # Initial clauses    : 31
% 0.40/0.56  # Processed clauses  : 32
% 0.40/0.56  # Factors computed   : 0
% 0.40/0.56  # Resolvents computed: 66
% 0.40/0.56  # Tautologies deleted: 1
% 0.40/0.56  # Forward subsumed   : 11
% 0.40/0.56  # Backward subsumed  : 0
% 0.40/0.56  # -------- CPU Time ---------
% 0.40/0.56  # User time          : 0.188 s
% 0.40/0.56  # System time        : 0.023 s
% 0.40/0.56  # Total time         : 0.211 s
%------------------------------------------------------------------------------