%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : HEN007-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n013.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 13:01:12 EDT 2022

% Result   : Unsatisfiable 1.90s 2.11s
% Output   : Refutation 1.90s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_c_divide_b_LE_c_divide_a,negated_conjecture,
    ~ less_equal(divide(c,b),divide(c,a)),
    input ).

cnf(property_of_divide1,axiom,
    ( ~ less_equal(divide(X44,X46),X45)
    | less_equal(divide(X44,X45),X46) ),
    input ).

cnf(a_LE_b,plain,
    less_equal(a,b),
    input ).

cnf(transitivity_of_less_equal,axiom,
    ( ~ less_equal(X35,X37)
    | ~ less_equal(X37,X36)
    | less_equal(X35,X36) ),
    input ).

cnf(c29,plain,
    ( ~ less_equal(X86,a)
    | less_equal(X86,b) ),
    inference(resolution,status(thm),[transitivity_of_less_equal,a_LE_b]) ).

cnf(x_divide_x_is_zero,axiom,
    divide(X9,X9) = zero,
    input ).

cnf(quotient_less_equal2,axiom,
    ( divide(X15,X16) != zero
    | less_equal(X15,X16) ),
    input ).

cnf(c9,plain,
    less_equal(X17,X17),
    inference(resolution,status(thm),[quotient_less_equal2,x_divide_x_is_zero]) ).

cnf(c36,plain,
    less_equal(divide(X101,divide(X101,X102)),X102),
    inference(resolution,status(thm),[property_of_divide1,c9]) ).

cnf(c126,plain,
    less_equal(divide(X702,divide(X702,a)),b),
    inference(resolution,status(thm),[c36,c29]) ).

cnf(c1223,plain,
    less_equal(divide(X2044,b),divide(X2044,a)),
    inference(resolution,status(thm),[c126,property_of_divide1]) ).

cnf(c5159,plain,
    $false,
    inference(resolution,status(thm),[c1223,prove_c_divide_b_LE_c_divide_a]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : HEN007-4 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n013.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 Jul  1 12:57:59 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.90/2.11  # Version:  1.3
% 1.90/2.11  # SZS status Unsatisfiable
% 1.90/2.11  # SZS output start CNFRefutation
% See solution above
% 1.90/2.11  
% 1.90/2.11  # Initial clauses    : 20
% 1.90/2.11  # Processed clauses  : 247
% 1.90/2.11  # Factors computed   : 8
% 1.90/2.11  # Resolvents computed: 5157
% 1.90/2.11  # Tautologies deleted: 2
% 1.90/2.11  # Forward subsumed   : 888
% 1.90/2.11  # Backward subsumed  : 10
% 1.90/2.11  # -------- CPU Time ---------
% 1.90/2.11  # User time          : 1.747 s
% 1.90/2.11  # System time        : 0.019 s
% 1.90/2.11  # Total time         : 1.766 s
%------------------------------------------------------------------------------