%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO039-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n014.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 05:57:50 EDT 2022

% Result   : Unsatisfiable 17.07s 17.25s
% Output   : Refutation 17.07s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_corollary,negated_conjecture,
    ~ between(v,w,x),
    input ).

cnf(symmetry,axiom,
    ( X12 != X11
    | X11 = X12 ),
    eq_axiom ).

cnf(identity_for_equidistance,axiom,
    ( ~ equidistant(X16,X14,X15,X15)
    | X16 = X14 ),
    input ).

cnf(segment_construction2,axiom,
    equidistant(X25,extension(X27,X25,X26,X24),X26,X24),
    input ).

cnf(c12,plain,
    X29 = extension(X28,X29,X30,X30),
    inference(resolution,status(thm),[segment_construction2,identity_for_equidistance]) ).

cnf(c14,plain,
    extension(X33,X31,X32,X32) = X31,
    inference(resolution,status(thm),[c12,symmetry]) ).

cnf(transitivity,axiom,
    ( X39 != X37
    | X37 != X38
    | X39 = X38 ),
    eq_axiom ).

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

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

cnf(c7,plain,
    ( ~ equidistant(X81,X79,X80,X78)
    | equidistant(X80,X78,X79,X81) ),
    inference(resolution,status(thm),[transitivity_for_equidistance,reflexivity_for_equidistance]) ).

cnf(c43,plain,
    equidistant(X93,X92,extension(X94,X95,X93,X92),X95),
    inference(resolution,status(thm),[c7,segment_construction2]) ).

cnf(c54,plain,
    equidistant(extension(X96,X97,X99,X98),X97,X98,X99),
    inference(resolution,status(thm),[c43,c7]) ).

cnf(c44,plain,
    equidistant(X87,X88,X87,X88),
    inference(resolution,status(thm),[c7,reflexivity_for_equidistance]) ).

cnf(c48,plain,
    ( ~ equidistant(X116,X119,X117,X118)
    | equidistant(X117,X118,X116,X119) ),
    inference(resolution,status(thm),[c44,transitivity_for_equidistance]) ).

cnf(c70,plain,
    equidistant(X152,X154,extension(X153,X155,X154,X152),X155),
    inference(resolution,status(thm),[c48,c54]) ).

cnf(c13,plain,
    ( ~ equidistant(X372,extension(X368,X372,X367,X371),X370,X369)
    | equidistant(X370,X369,X367,X371) ),
    inference(resolution,status(thm),[segment_construction2,transitivity_for_equidistance]) ).

cnf(c257,plain,
    equidistant(extension(X458,X461,extension(X457,X462,X460,X459),X462),X461,X460,X459),
    inference(resolution,status(thm),[c13,c70]) ).

cnf(c314,plain,
    extension(X463,X466,extension(X465,X467,X464,X464),X467) = X466,
    inference(resolution,status(thm),[c257,identity_for_equidistance]) ).

cnf(c325,plain,
    ( X1704 != extension(X1706,X1709,extension(X1705,X1708,X1707,X1707),X1708)
    | X1704 = X1709 ),
    inference(resolution,status(thm),[c314,transitivity]) ).

cnf(c1361,plain,
    extension(X2034,extension(X2040,X2036,extension(X2035,X2039,X2038,X2038),X2039),X2037,X2037) = X2036,
    inference(resolution,status(thm),[c325,c14]) ).

cnf(u_is_x,plain,
    u = x,
    input ).

cnf(c20,plain,
    ( X51 != u
    | X51 = x ),
    inference(resolution,status(thm),[transitivity,u_is_x]) ).

cnf(identity_for_betweeness,axiom,
    ( ~ between(X19,X18,X19)
    | X19 = X18 ),
    input ).

cnf(reflexivity,axiom,
    X2 = X2,
    eq_axiom ).

cnf(c8,plain,
    x = u,
    inference(resolution,status(thm),[symmetry,u_is_x]) ).

cnf(w_between_u_and_x,plain,
    between(u,w,x),
    input ).

cnf(c6,plain,
    ( X352 != X351
    | X350 != X347
    | X348 != X349
    | ~ between(X352,X350,X348)
    | between(X351,X347,X349) ),
    eq_axiom ).

cnf(c238,plain,
    ( u != X2373
    | w != X2371
    | x != X2372
    | between(X2373,X2371,X2372) ),
    inference(resolution,status(thm),[c6,w_between_u_and_x]) ).

cnf(c2713,plain,
    ( u != X2374
    | w != X2375
    | between(X2374,X2375,u) ),
    inference(resolution,status(thm),[c238,c8]) ).

cnf(c2727,plain,
    ( u != X2376
    | between(X2376,w,u) ),
    inference(resolution,status(thm),[c2713,reflexivity]) ).

cnf(c2742,plain,
    between(u,w,u),
    inference(resolution,status(thm),[c2727,reflexivity]) ).

cnf(c2806,plain,
    u = w,
    inference(resolution,status(thm),[c2742,identity_for_betweeness]) ).

cnf(c2831,plain,
    w = u,
    inference(resolution,status(thm),[c2806,symmetry]) ).

cnf(c2883,plain,
    w = x,
    inference(resolution,status(thm),[c2831,c20]) ).

cnf(c2949,plain,
    x = w,
    inference(resolution,status(thm),[c2883,symmetry]) ).

cnf(segment_construction1,axiom,
    between(X23,X21,extension(X23,X21,X22,X20)),
    input ).

cnf(c237,plain,
    ( X3644 != X3647
    | X3646 != X3641
    | extension(X3644,X3646,X3642,X3643) != X3645
    | between(X3647,X3641,X3645) ),
    inference(resolution,status(thm),[c6,segment_construction1]) ).

cnf(c10257,plain,
    ( X3651 != X3650
    | X3649 != X3648
    | between(X3650,X3648,X3649) ),
    inference(resolution,status(thm),[c237,c14]) ).

cnf(c10373,plain,
    ( X4287 != X4288
    | between(X4288,w,x) ),
    inference(resolution,status(thm),[c10257,c2949]) ).

cnf(c13960,plain,
    between(X4299,w,x),
    inference(resolution,status(thm),[c10373,c1361]) ).

cnf(c14085,plain,
    $false,
    inference(resolution,status(thm),[c13960,prove_corollary]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GEO039-2 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n014.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 05:36:19 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 17.07/17.25  # Version:  1.3
% 17.07/17.25  # SZS status Unsatisfiable
% 17.07/17.25  # SZS output start CNFRefutation
% See solution above
% 17.07/17.26  
% 17.07/17.26  # Initial clauses    : 31
% 17.07/17.26  # Processed clauses  : 439
% 17.07/17.26  # Factors computed   : 4
% 17.07/17.26  # Resolvents computed: 14076
% 17.07/17.26  # Tautologies deleted: 1
% 17.07/17.26  # Forward subsumed   : 779
% 17.07/17.26  # Backward subsumed  : 73
% 17.07/17.26  # -------- CPU Time ---------
% 17.07/17.26  # User time          : 16.849 s
% 17.07/17.26  # System time        : 0.045 s
% 17.07/17.26  # Total time         : 16.894 s
%------------------------------------------------------------------------------