TSTP Solution File: NUM025-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : NUM025-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 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 : Mon Jul 18 13:34:00 EDT 2022

% Result   : Unsatisfiable 0.22s 0.54s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(no_number_less_than_itself,axiom,
    ~ less(X3,X3),
    input ).

cnf(prove_b_not_less_than_a,negated_conjecture,
    less(b,a),
    input ).

cnf(a_less_than_b,plain,
    less(a,b),
    input ).

cnf(transitivity_of_less,axiom,
    ( ~ less(X26,X25)
    | ~ less(X24,X26)
    | less(X24,X25) ),
    input ).

cnf(c15,plain,
    ( ~ less(b,X27)
    | less(a,X27) ),
    inference(resolution,status(thm),[transitivity_of_less,a_less_than_b]) ).

cnf(c17,plain,
    less(a,a),
    inference(resolution,status(thm),[c15,prove_b_not_less_than_a]) ).

cnf(c19,plain,
    $false,
    inference(resolution,status(thm),[c17,no_number_less_than_itself]) ).

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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : NUM025-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Tue Jul  5 13:42:27 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.54  # Version:  1.3
% 0.22/0.54  # SZS status Unsatisfiable
% 0.22/0.54  # SZS output start CNFRefutation
% See solution above
% 0.22/0.54  
% 0.22/0.54  # Initial clauses    : 16
% 0.22/0.54  # Processed clauses  : 17
% 0.22/0.54  # Factors computed   : 0
% 0.22/0.54  # Resolvents computed: 20
% 0.22/0.54  # Tautologies deleted: 0
% 0.22/0.54  # Forward subsumed   : 5
% 0.22/0.54  # Backward subsumed  : 0
% 0.22/0.54  # -------- CPU Time ---------
% 0.22/0.54  # User time          : 0.166 s
% 0.22/0.54  # System time        : 0.012 s
% 0.22/0.54  # Total time         : 0.178 s
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