%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : HEN007-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n023.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  : 300s
% DateTime : Thu May  9 17:24:49 EDT 2024

% Result   : Unsatisfiable 1.45s 1.63s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   8 unt;   0 nHn;   7 RR)
%            Number of literals    :   17 (   2 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_c_divide_b_LE_c_divide_a,negated_conjecture,
    ~ less_equal(divide(c,b),divide(c,a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_divide_b_LE_c_divide_a) ).

cnf(property_of_divide1,axiom,
    ( ~ less_equal(divide(X47,X48),X46)
    | less_equal(divide(X47,X46),X48) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).

cnf(a_LE_b,plain,
    less_equal(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_LE_b) ).

cnf(transitivity_of_less_equal,axiom,
    ( ~ less_equal(X37,X38)
    | ~ less_equal(X38,X36)
    | less_equal(X37,X36) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal) ).

cnf(c28,plain,
    ( ~ less_equal(X93,a)
    | less_equal(X93,b) ),
    inference(resolution,[status(thm)],[transitivity_of_less_equal,a_LE_b]) ).

cnf(x_divide_x_is_zero,axiom,
    divide(X9,X9) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).

cnf(quotient_less_equal2,axiom,
    ( divide(X15,X16) != zero
    | less_equal(X15,X16) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HEN002-0.ax',quotient_less_equal2) ).

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(X104,divide(X104,X105)),X105),
    inference(resolution,[status(thm)],[property_of_divide1,c9]) ).

cnf(c124,plain,
    less_equal(divide(X672,divide(X672,a)),b),
    inference(resolution,[status(thm)],[c36,c28]) ).

cnf(c1032,plain,
    less_equal(divide(X1652,b),divide(X1652,a)),
    inference(resolution,[status(thm)],[c124,property_of_divide1]) ).

cnf(c3689,plain,
    $false,
    inference(resolution,[status(thm)],[c1032,prove_c_divide_b_LE_c_divide_a]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : HEN007-4 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed May  8 13:49:08 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 1.45/1.63  % Version:  1.5
% 1.45/1.63  % SZS status Unsatisfiable
% 1.45/1.63  % SZS output start CNFRefutation
% See solution above
% 1.45/1.63  
% 1.45/1.63  % Initial clauses    : 20
% 1.45/1.63  % Processed clauses  : 214
% 1.45/1.63  % Factors computed   : 13
% 1.45/1.63  % Resolvents computed: 3712
% 1.45/1.63  % Tautologies deleted: 4
% 1.45/1.63  % Forward subsumed   : 718
% 1.45/1.63  % Backward subsumed  : 7
% 1.45/1.63  % -------- CPU Time ---------
% 1.45/1.63  % User time          : 1.247 s
% 1.45/1.63  % System time        : 0.010 s
% 1.45/1.63  % Total time         : 1.257 s
%------------------------------------------------------------------------------