%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO024-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n027.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 05:57:43 EDT 2022

% Result   : Unsatisfiable 7.46s 7.71s
% Output   : Refutation 7.46s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

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

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

cnf(identity_for_equidistance,axiom,
    ( ~ equidistant(X16,X17,X18,X18)
    | X16 = X17 ),
    input ).

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

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

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

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

cnf(c19,plain,
    equidistant(X66,X64,extension(X65,X67,X66,X64),X67),
    inference(resolution,status(thm),[c7,segment_construction2]) ).

cnf(c26,plain,
    equidistant(extension(X71,X70,X68,X69),X70,X69,X68),
    inference(resolution,status(thm),[c19,c7]) ).

cnf(c20,plain,
    equidistant(X54,X55,X54,X55),
    inference(resolution,status(thm),[c7,reflexivity_for_equidistance]) ).

cnf(c24,plain,
    ( ~ equidistant(X90,X89,X91,X88)
    | equidistant(X91,X88,X90,X89) ),
    inference(resolution,status(thm),[c20,transitivity_for_equidistance]) ).

cnf(c38,plain,
    equidistant(X99,X97,extension(X98,X96,X97,X99),X96),
    inference(resolution,status(thm),[c24,c26]) ).

cnf(c10,plain,
    ( ~ equidistant(X233,extension(X237,X233,X234,X236),X235,X238)
    | equidistant(X235,X238,X234,X236) ),
    inference(resolution,status(thm),[segment_construction2,transitivity_for_equidistance]) ).

cnf(c102,plain,
    equidistant(extension(X261,X264,extension(X260,X259,X262,X263),X259),X264,X262,X263),
    inference(resolution,status(thm),[c10,c38]) ).

cnf(c117,plain,
    extension(X269,X265,extension(X267,X268,X266,X266),X268) = X265,
    inference(resolution,status(thm),[c102,identity_for_equidistance]) ).

cnf(c114,plain,
    equidistant(X364,X365,extension(X366,X361,extension(X362,X363,X364,X365),X363),X361),
    inference(resolution,status(thm),[c102,c24]) ).

cnf(c191,plain,
    equidistant(extension(X432,X429,extension(X430,X431,X427,X428),X431),X429,X428,X427),
    inference(resolution,status(thm),[c114,c7]) ).

cnf(c5,plain,
    ( X435 != X437
    | X433 != X439
    | X434 != X440
    | X438 != X436
    | ~ equidistant(X435,X433,X434,X438)
    | equidistant(X437,X439,X440,X436) ),
    eq_axiom ).

cnf(c231,plain,
    ( extension(X5368,X5367,extension(X5365,X5370,X5363,X5371),X5370) != X5369
    | X5367 != X5366
    | X5371 != X5372
    | X5363 != X5364
    | equidistant(X5369,X5366,X5372,X5364) ),
    inference(resolution,status(thm),[c5,c191]) ).

cnf(c6639,plain,
    ( X5453 != X5454
    | X5455 != X5457
    | X5455 != X5456
    | equidistant(X5453,X5454,X5457,X5456) ),
    inference(resolution,status(thm),[c231,c117]) ).

cnf(c6721,plain,
    ( X5460 != X5461
    | X5459 != X5458
    | equidistant(X5460,X5461,X5458,X5459) ),
    inference(resolution,status(thm),[c6639,reflexivity]) ).

cnf(c6761,plain,
    ( X5470 != X5472
    | equidistant(X5470,X5472,X5471,X5471) ),
    inference(resolution,status(thm),[c6721,reflexivity]) ).

cnf(c6839,plain,
    equidistant(X5473,X5473,X5474,X5474),
    inference(resolution,status(thm),[c6761,reflexivity]) ).

cnf(c6910,plain,
    $false,
    inference(resolution,status(thm),[c6839,prove_congruence]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO024-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jun 17 17:28:52 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 7.46/7.71  # Version:  1.3
% 7.46/7.71  # SZS status Unsatisfiable
% 7.46/7.71  # SZS output start CNFRefutation
% See solution above
% 7.46/7.71  
% 7.46/7.71  # Initial clauses    : 29
% 7.46/7.71  # Processed clauses  : 303
% 7.46/7.71  # Factors computed   : 9
% 7.46/7.71  # Resolvents computed: 6897
% 7.46/7.71  # Tautologies deleted: 1
% 7.46/7.71  # Forward subsumed   : 562
% 7.46/7.71  # Backward subsumed  : 0
% 7.46/7.71  # -------- CPU Time ---------
% 7.46/7.71  # User time          : 7.318 s
% 7.46/7.71  # System time        : 0.034 s
% 7.46/7.71  # Total time         : 7.352 s
%------------------------------------------------------------------------------