TSTP Solution File: HEN009-4 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : HEN009-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n021.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 13:01:15 EDT 2022

% Result   : Unsatisfiable 5.75s 5.94s
% Output   : Refutation 5.75s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    divide(identity,a) != divide(identity,divide(identity,divide(identity,a))),
    input ).

cnf(less_equal_and_equal,axiom,
    ( ~ less_equal(X32,X31)
    | ~ less_equal(X31,X32)
    | X32 = X31 ),
    input ).

cnf(x_divide_x_is_zero,axiom,
    divide(X7,X7) = zero,
    input ).

cnf(quotient_less_equal2,axiom,
    ( divide(X17,X16) != zero
    | less_equal(X17,X16) ),
    input ).

cnf(c10,plain,
    less_equal(X18,X18),
    inference(resolution,status(thm),[quotient_less_equal2,x_divide_x_is_zero]) ).

cnf(property_of_divide1,axiom,
    ( ~ less_equal(divide(X46,X45),X47)
    | less_equal(divide(X46,X47),X45) ),
    input ).

cnf(c34,plain,
    less_equal(divide(X79,divide(X79,X80)),X80),
    inference(resolution,status(thm),[property_of_divide1,c10]) ).

cnf(c79,plain,
    ( ~ less_equal(X443,divide(X444,divide(X444,X443)))
    | X443 = divide(X444,divide(X444,X443)) ),
    inference(resolution,status(thm),[c34,less_equal_and_equal]) ).

cnf(property_of_divide2,axiom,
    ( ~ less_equal(X58,X57)
    | less_equal(divide(X59,X57),divide(X59,X58)) ),
    input ).

cnf(c82,plain,
    less_equal(divide(X472,X474),divide(X472,divide(X473,divide(X473,X474)))),
    inference(resolution,status(thm),[c34,property_of_divide2]) ).

cnf(c576,plain,
    divide(X4767,X4766) = divide(X4767,divide(X4767,divide(X4767,X4766))),
    inference(resolution,status(thm),[c82,c79]) ).

cnf(c12824,plain,
    $false,
    inference(resolution,status(thm),[c576,prove_this]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : HEN009-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.13/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Fri Jul  1 13:52:59 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 5.75/5.94  # Version:  1.3
% 5.75/5.94  # SZS status Unsatisfiable
% 5.75/5.94  # SZS output start CNFRefutation
% See solution above
% 5.75/5.94  
% 5.75/5.94  # Initial clauses    : 21
% 5.75/5.94  # Processed clauses  : 395
% 5.75/5.94  # Factors computed   : 8
% 5.75/5.94  # Resolvents computed: 12836
% 5.75/5.94  # Tautologies deleted: 2
% 5.75/5.94  # Forward subsumed   : 1847
% 5.75/5.94  # Backward subsumed  : 15
% 5.75/5.94  # -------- CPU Time ---------
% 5.75/5.94  # User time          : 5.578 s
% 5.75/5.94  # System time        : 0.029 s
% 5.75/5.94  # Total time         : 5.607 s
%------------------------------------------------------------------------------