%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO059-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n007.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 05:58:00 EDT 2022

% Result   : Unsatisfiable 0.93s 1.10s
% Output   : Refutation 0.93s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

cnf(d3,axiom,
    ( ~ equidistant(X113,X111,X112,X114)
    | equidistant(X111,X113,X112,X114) ),
    input ).

cnf(d2,axiom,
    ( ~ equidistant(X81,X79,X80,X82)
    | equidistant(X80,X82,X81,X79) ),
    input ).

cnf(r2_2,axiom,
    equidistant(X38,reflection(X39,X38),X39,X38),
    input ).

cnf(c47,plain,
    equidistant(X95,X94,X94,reflection(X95,X94)),
    inference(resolution,status(thm),[d2,r2_2]) ).

cnf(c66,plain,
    equidistant(X122,X121,X122,reflection(X121,X122)),
    inference(resolution,status(thm),[d3,c47]) ).

cnf(c73,plain,
    equidistant(X131,reflection(X132,X131),X131,X132),
    inference(resolution,status(thm),[c66,d2]) ).

cnf(c86,plain,
    equidistant(reflection(X148,X147),X147,X147,X148),
    inference(resolution,status(thm),[c73,d3]) ).

cnf(transitivity_for_equidistance,axiom,
    ( ~ equidistant(X15,X12,X10,X14)
    | ~ equidistant(X15,X12,X13,X11)
    | equidistant(X10,X14,X13,X11) ),
    input ).

cnf(c52,plain,
    ( ~ equidistant(X1043,X1044,X1046,X1045)
    | equidistant(X1046,X1045,X1044,reflection(X1043,X1044)) ),
    inference(resolution,status(thm),[c47,transitivity_for_equidistance]) ).

cnf(c843,plain,
    equidistant(X1144,X1143,X1144,reflection(reflection(X1143,X1144),X1144)),
    inference(resolution,status(thm),[c52,c86]) ).

cnf(c1134,plain,
    $false,
    inference(resolution,status(thm),[c843,prove_congruence]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO059-3 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun 18 13:59:13 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.93/1.10  # Version:  1.3
% 0.93/1.10  # SZS status Unsatisfiable
% 0.93/1.10  # SZS output start CNFRefutation
% See solution above
% 0.93/1.10  
% 0.93/1.10  # Initial clauses    : 53
% 0.93/1.10  # Processed clauses  : 117
% 0.93/1.10  # Factors computed   : 0
% 0.93/1.10  # Resolvents computed: 1129
% 0.93/1.10  # Tautologies deleted: 2
% 0.93/1.10  # Forward subsumed   : 265
% 0.93/1.10  # Backward subsumed  : 0
% 0.93/1.10  # -------- CPU Time ---------
% 0.93/1.10  # User time          : 0.711 s
% 0.93/1.10  # System time        : 0.020 s
% 0.93/1.10  # Total time         : 0.731 s
%------------------------------------------------------------------------------