%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO020-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n011.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 05:57:42 EDT 2022

% Result   : Unsatisfiable 0.42s 0.58s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

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

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

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

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

cnf(c21,plain,
    equidistant(w,x,v,u),
    inference(resolution,status(thm),[c7,u_to_v_equals_w_to_x]) ).

cnf(c30,plain,
    equidistant(v,u,x,w),
    inference(resolution,status(thm),[c21,c7]) ).

cnf(c33,plain,
    equidistant(x,w,u,v),
    inference(resolution,status(thm),[c30,c7]) ).

cnf(c35,plain,
    $false,
    inference(resolution,status(thm),[c33,prove_symmetry]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GEO020-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Fri Jun 17 16:08:52 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.42/0.58  # Version:  1.3
% 0.42/0.58  # SZS status Unsatisfiable
% 0.42/0.58  # SZS output start CNFRefutation
% See solution above
% 0.42/0.58  
% 0.42/0.58  # Initial clauses    : 30
% 0.42/0.58  # Processed clauses  : 24
% 0.42/0.58  # Factors computed   : 0
% 0.42/0.58  # Resolvents computed: 33
% 0.42/0.58  # Tautologies deleted: 1
% 0.42/0.58  # Forward subsumed   : 5
% 0.42/0.58  # Backward subsumed  : 0
% 0.42/0.58  # -------- CPU Time ---------
% 0.42/0.58  # User time          : 0.204 s
% 0.42/0.58  # System time        : 0.021 s
% 0.42/0.58  # Total time         : 0.225 s
%------------------------------------------------------------------------------