TSTP Solution File: GEO002-4 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GEO002-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n016.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 05:57:30 EDT 2022

% Result   : Unsatisfiable 0.55s 0.72s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_a_between_a_and_b,negated_conjecture,
    ~ between(a,a,b),
    input ).

cnf(segment_construction1,axiom,
    between(X5,X8,extension(X5,X8,X6,X7)),
    input ).

cnf(transitivity_for_betweeness,axiom,
    ( ~ between(X16,X19,X18)
    | ~ between(X19,X17,X18)
    | between(X16,X19,X17) ),
    input ).

cnf(identity_for_equidistance,axiom,
    ( ~ equidistant(X2,X4,X3,X3)
    | equalish(X2,X4) ),
    input ).

cnf(segment_construction2,axiom,
    equidistant(X9,extension(X11,X9,X10,X12),X10,X12),
    input ).

cnf(c0,plain,
    equalish(X13,extension(X14,X13,X15,X15)),
    inference(resolution,status(thm),[segment_construction2,identity_for_equidistance]) ).

cnf(between_substitution3,axiom,
    ( ~ equalish(X20,X23)
    | ~ between(X22,X21,X20)
    | between(X22,X21,X23) ),
    input ).

cnf(c1,plain,
    ( ~ between(X32,X31,extension(X31,X33,X30,X29))
    | between(X32,X31,X33) ),
    inference(resolution,status(thm),[transitivity_for_betweeness,segment_construction1]) ).

cnf(c4,plain,
    between(X34,X34,X34),
    inference(resolution,status(thm),[c1,segment_construction1]) ).

cnf(c6,plain,
    ( ~ equalish(X35,X36)
    | between(X35,X35,X36) ),
    inference(resolution,status(thm),[c4,between_substitution3]) ).

cnf(c7,plain,
    between(X44,X44,extension(X45,X44,X46,X46)),
    inference(resolution,status(thm),[c6,c0]) ).

cnf(c10,plain,
    ( ~ between(X68,X70,extension(X67,X70,X69,X69))
    | between(X68,X70,X70) ),
    inference(resolution,status(thm),[c7,transitivity_for_betweeness]) ).

cnf(c24,plain,
    between(X72,X73,X73),
    inference(resolution,status(thm),[c10,segment_construction1]) ).

cnf(outer_pasch2,axiom,
    ( ~ between(X61,X59,X60)
    | ~ between(X62,X60,X58)
    | between(X58,X59,outer_pasch(X59,X61,X62,X58,X60)) ),
    input ).

cnf(c26,plain,
    ( ~ between(X244,X242,X243)
    | between(X243,X242,outer_pasch(X242,X244,X245,X243,X243)) ),
    inference(resolution,status(thm),[c24,outer_pasch2]) ).

cnf(c162,plain,
    between(X247,X247,outer_pasch(X247,X248,X246,X247,X247)),
    inference(resolution,status(thm),[c26,c24]) ).

cnf(outer_pasch1,axiom,
    ( ~ between(X40,X38,X39)
    | ~ between(X41,X39,X37)
    | between(X40,outer_pasch(X38,X40,X41,X37,X39),X41) ),
    input ).

cnf(c27,plain,
    ( ~ between(X263,X264,X262)
    | between(X263,outer_pasch(X264,X263,X261,X262,X262),X261) ),
    inference(resolution,status(thm),[c24,outer_pasch1]) ).

cnf(c195,plain,
    between(X267,outer_pasch(X266,X267,X265,X266,X266),X265),
    inference(resolution,status(thm),[c27,c24]) ).

cnf(c200,plain,
    ( ~ between(X374,X373,X375)
    | between(X374,X373,outer_pasch(X376,X373,X375,X376,X376)) ),
    inference(resolution,status(thm),[c195,transitivity_for_betweeness]) ).

cnf(c416,plain,
    between(X384,X383,outer_pasch(X385,X383,X383,X385,X385)),
    inference(resolution,status(thm),[c200,c24]) ).

cnf(c446,plain,
    ( ~ between(X464,X463,outer_pasch(X465,X466,X466,X465,X465))
    | between(X464,X463,X466) ),
    inference(resolution,status(thm),[c416,transitivity_for_betweeness]) ).

cnf(c601,plain,
    between(X476,X476,X477),
    inference(resolution,status(thm),[c446,c162]) ).

cnf(c636,plain,
    $false,
    inference(resolution,status(thm),[c601,prove_a_between_a_and_b]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO002-4 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n016.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 09:27:52 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.55/0.72  # Version:  1.3
% 0.55/0.72  # SZS status Unsatisfiable
% 0.55/0.72  # SZS output start CNFRefutation
% See solution above
% 0.55/0.72  
% 0.55/0.72  # Initial clauses    : 8
% 0.55/0.72  # Processed clauses  : 79
% 0.55/0.72  # Factors computed   : 0
% 0.55/0.72  # Resolvents computed: 652
% 0.55/0.72  # Tautologies deleted: 2
% 0.55/0.72  # Forward subsumed   : 40
% 0.55/0.72  # Backward subsumed  : 25
% 0.55/0.72  # -------- CPU Time ---------
% 0.55/0.72  # User time          : 0.358 s
% 0.55/0.72  # System time        : 0.013 s
% 0.55/0.72  # Total time         : 0.371 s
%------------------------------------------------------------------------------