%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : HEN007-2 : TPTP v8.1.0. Released v1.0.0.
% 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 13:01:11 EDT 2022

% Result   : Unsatisfiable 3.05s 3.25s
% Output   : Refutation 3.05s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_zQyLEzQx,negated_conjecture,
    ~ less_equal(zQy,zQx),
    input ).

cnf(closure,axiom,
    quotient(X33,X34,divide(X33,X34)),
    input ).

cnf(zQy,plain,
    quotient(z,y,zQy),
    input ).

cnf(xQyLEz_implies_xQzLEy,axiom,
    ( ~ quotient(X58,X56,X57)
    | ~ less_equal(X57,X54)
    | ~ quotient(X58,X54,X55)
    | less_equal(X55,X56) ),
    input ).

cnf(c70,plain,
    ( ~ quotient(z,X308,X307)
    | ~ less_equal(X307,y)
    | less_equal(zQy,X308) ),
    inference(resolution,status(thm),[xQyLEz_implies_xQzLEy,zQy]) ).

cnf(c554,plain,
    ( ~ less_equal(divide(z,X2832),y)
    | less_equal(zQy,X2832) ),
    inference(resolution,status(thm),[c70,closure]) ).

cnf(xLEy,plain,
    less_equal(x,y),
    input ).

cnf(transitivity_of_less_equal,axiom,
    ( ~ less_equal(X47,X48)
    | ~ less_equal(X48,X49)
    | less_equal(X47,X49) ),
    input ).

cnf(c57,plain,
    ( ~ less_equal(X147,x)
    | less_equal(X147,y) ),
    inference(resolution,status(thm),[transitivity_of_less_equal,xLEy]) ).

cnf(x_divide_x_is_zero,axiom,
    quotient(X5,X5,zero),
    input ).

cnf(less_equal_quotient,axiom,
    ( ~ quotient(X12,X13,zero)
    | less_equal(X12,X13) ),
    input ).

cnf(c7,plain,
    less_equal(X14,X14),
    inference(resolution,status(thm),[less_equal_quotient,x_divide_x_is_zero]) ).

cnf(zQx,plain,
    quotient(z,x,zQx),
    input ).

cnf(c71,plain,
    ( ~ quotient(X320,X319,X318)
    | ~ less_equal(X318,X321)
    | less_equal(divide(X320,X321),X319) ),
    inference(resolution,status(thm),[xQyLEz_implies_xQzLEy,closure]) ).

cnf(c579,plain,
    ( ~ less_equal(zQx,X3027)
    | less_equal(divide(z,X3027),x) ),
    inference(resolution,status(thm),[c71,zQx]) ).

cnf(c5976,plain,
    less_equal(divide(z,zQx),x),
    inference(resolution,status(thm),[c579,c7]) ).

cnf(c5980,plain,
    less_equal(divide(z,zQx),y),
    inference(resolution,status(thm),[c5976,c57]) ).

cnf(c5988,plain,
    less_equal(zQy,zQx),
    inference(resolution,status(thm),[c5980,c554]) ).

cnf(c5998,plain,
    $false,
    inference(resolution,status(thm),[c5988,prove_zQyLEzQx]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : HEN007-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n027.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 13:38:37 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 3.05/3.25  # Version:  1.3
% 3.05/3.25  # SZS status Unsatisfiable
% 3.05/3.25  # SZS output start CNFRefutation
% See solution above
% 3.05/3.25  
% 3.05/3.25  # Initial clauses    : 25
% 3.05/3.25  # Processed clauses  : 406
% 3.05/3.25  # Factors computed   : 26
% 3.05/3.25  # Resolvents computed: 5971
% 3.05/3.25  # Tautologies deleted: 5
% 3.05/3.25  # Forward subsumed   : 1590
% 3.05/3.25  # Backward subsumed  : 10
% 3.05/3.25  # -------- CPU Time ---------
% 3.05/3.25  # User time          : 2.889 s
% 3.05/3.25  # System time        : 0.020 s
% 3.05/3.25  # Total time         : 2.909 s
%------------------------------------------------------------------------------