TSTP Solution File: GRP182-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP182-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 11:22:24 EDT 2022

% Result   : Unsatisfiable 125.27s 125.48s
% Output   : Refutation 125.27s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_p17a,negated_conjecture,
    least_upper_bound(identity,greatest_lower_bound(a,identity)) != identity,
    input ).

cnf(symmetry,axiom,
    ( X7 != X6
    | X6 = X7 ),
    eq_axiom ).

cnf(symmetry_of_lub,axiom,
    least_upper_bound(X22,X21) = least_upper_bound(X21,X22),
    input ).

cnf(transitivity,axiom,
    ( X48 != X47
    | X47 != X49
    | X48 = X49 ),
    eq_axiom ).

cnf(c22,plain,
    ( X154 != least_upper_bound(X152,X153)
    | X154 = least_upper_bound(X153,X152) ),
    inference(resolution,status(thm),[transitivity,symmetry_of_lub]) ).

cnf(lub_absorbtion,axiom,
    least_upper_bound(X24,greatest_lower_bound(X24,X23)) = X24,
    input ).

cnf(c15,plain,
    X35 = least_upper_bound(X35,greatest_lower_bound(X35,X36)),
    inference(resolution,status(thm),[lub_absorbtion,symmetry]) ).

cnf(c444,plain,
    X159 = least_upper_bound(greatest_lower_bound(X159,X158),X159),
    inference(resolution,status(thm),[c22,c15]) ).

cnf(c456,plain,
    least_upper_bound(greatest_lower_bound(X168,X169),X168) = X168,
    inference(resolution,status(thm),[c444,symmetry]) ).

cnf(c503,plain,
    ( X1625 != least_upper_bound(greatest_lower_bound(X1623,X1624),X1623)
    | X1625 = X1623 ),
    inference(resolution,status(thm),[c456,transitivity]) ).

cnf(symmetry_of_glb,axiom,
    greatest_lower_bound(X20,X19) = greatest_lower_bound(X19,X20),
    input ).

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

cnf(c3,plain,
    ( X119 != X120
    | X117 != X118
    | least_upper_bound(X119,X117) = least_upper_bound(X120,X118) ),
    eq_axiom ).

cnf(c293,plain,
    ( X1081 != X1082
    | least_upper_bound(X1081,X1080) = least_upper_bound(X1082,X1080) ),
    inference(resolution,status(thm),[c3,reflexivity]) ).

cnf(c9804,plain,
    least_upper_bound(greatest_lower_bound(X5557,X5559),X5558) = least_upper_bound(greatest_lower_bound(X5559,X5557),X5558),
    inference(resolution,status(thm),[c293,symmetry_of_glb]) ).

cnf(c219588,plain,
    least_upper_bound(greatest_lower_bound(X5561,X5560),X5560) = X5560,
    inference(resolution,status(thm),[c9804,c503]) ).

cnf(c219707,plain,
    X5562 = least_upper_bound(greatest_lower_bound(X5563,X5562),X5562),
    inference(resolution,status(thm),[c219588,symmetry]) ).

cnf(c219987,plain,
    X5569 = least_upper_bound(X5569,greatest_lower_bound(X5570,X5569)),
    inference(resolution,status(thm),[c219707,c22]) ).

cnf(c220366,plain,
    least_upper_bound(X5573,greatest_lower_bound(X5574,X5573)) = X5573,
    inference(resolution,status(thm),[c219987,symmetry]) ).

cnf(c220771,plain,
    $false,
    inference(resolution,status(thm),[c220366,prove_p17a]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP182-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun 14 03:31:02 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 125.27/125.48  # Version:  1.3
% 125.27/125.48  # SZS status Unsatisfiable
% 125.27/125.48  # SZS output start CNFRefutation
% See solution above
% 125.27/125.48  
% 125.27/125.48  # Initial clauses    : 23
% 125.27/125.48  # Processed clauses  : 1292
% 125.27/125.48  # Factors computed   : 0
% 125.27/125.48  # Resolvents computed: 220776
% 125.27/125.48  # Tautologies deleted: 1
% 125.27/125.48  # Forward subsumed   : 2131
% 125.27/125.48  # Backward subsumed  : 17
% 125.27/125.48  # -------- CPU Time ---------
% 125.27/125.48  # User time          : 124.705 s
% 125.27/125.48  # System time        : 0.412 s
% 125.27/125.48  # Total time         : 125.117 s
%------------------------------------------------------------------------------