%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : HEN012-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n020.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 13:01:20 EDT 2022

% Result   : Unsatisfiable 2.96s 3.19s
% Output   : Refutation 2.96s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_a_LE_a,negated_conjecture,
    ~ less_equal(a,a),
    input ).

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

cnf(zero_is_smallest,axiom,
    less_equal(zero,X3),
    input ).

cnf(quotient_less_equal1,axiom,
    ( ~ less_equal(X7,X8)
    | divide(X7,X8) = zero ),
    input ).

cnf(c3,plain,
    divide(zero,X13) = zero,
    inference(resolution,status(thm),[quotient_less_equal1,zero_is_smallest]) ).

cnf(transitivity,axiom,
    ( X36 != X37
    | X37 != X35
    | X36 = X35 ),
    eq_axiom ).

cnf(c26,plain,
    ( X90 != divide(zero,X89)
    | X90 = zero ),
    inference(resolution,status(thm),[transitivity,c3]) ).

cnf(less_equal_and_equal,axiom,
    ( ~ less_equal(X33,X34)
    | ~ less_equal(X34,X33)
    | X33 = X34 ),
    input ).

cnf(symmetry,axiom,
    ( X9 != X10
    | X10 = X9 ),
    eq_axiom ).

cnf(c7,plain,
    zero = divide(zero,X19),
    inference(resolution,status(thm),[c3,symmetry]) ).

cnf(reflexivity,axiom,
    X2 = X2,
    eq_axiom ).

cnf(c1,plain,
    ( X56 != X54
    | X57 != X55
    | ~ less_equal(X56,X57)
    | less_equal(X54,X55) ),
    eq_axiom ).

cnf(c49,plain,
    ( zero != X118
    | X117 != X116
    | less_equal(X118,X116) ),
    inference(resolution,status(thm),[c1,zero_is_smallest]) ).

cnf(c116,plain,
    ( zero != X123
    | less_equal(X123,X124) ),
    inference(resolution,status(thm),[c49,reflexivity]) ).

cnf(c130,plain,
    less_equal(divide(zero,X127),X126),
    inference(resolution,status(thm),[c116,c7]) ).

cnf(c135,plain,
    ( ~ less_equal(X762,divide(zero,X763))
    | X762 = divide(zero,X763) ),
    inference(resolution,status(thm),[c130,less_equal_and_equal]) ).

cnf(c18,plain,
    ( ~ less_equal(X41,zero)
    | X41 = zero ),
    inference(resolution,status(thm),[less_equal_and_equal,zero_is_smallest]) ).

cnf(quotient_smaller_than_numerator,axiom,
    less_equal(divide(X5,X6),X5),
    input ).

cnf(c4,plain,
    divide(divide(X26,X25),X26) = zero,
    inference(resolution,status(thm),[quotient_less_equal1,quotient_smaller_than_numerator]) ).

cnf(quotient_property,axiom,
    less_equal(divide(divide(X23,X22),divide(X24,X22)),divide(divide(X23,X24),X22)),
    input ).

cnf(c48,plain,
    ( divide(divide(X252,X250),divide(X249,X250)) != X251
    | divide(divide(X252,X249),X250) != X248
    | less_equal(X251,X248) ),
    inference(resolution,status(thm),[c1,quotient_property]) ).

cnf(c363,plain,
    ( divide(divide(X2871,X2869),X2870) != X2868
    | less_equal(divide(divide(X2871,X2870),divide(X2869,X2870)),X2868) ),
    inference(resolution,status(thm),[c48,reflexivity]) ).

cnf(c5940,plain,
    less_equal(divide(divide(X2897,X2897),divide(X2898,X2897)),zero),
    inference(resolution,status(thm),[c363,c4]) ).

cnf(c6013,plain,
    divide(divide(X2903,X2903),divide(X2904,X2903)) = zero,
    inference(resolution,status(thm),[c5940,c18]) ).

cnf(c6068,plain,
    less_equal(divide(X2914,X2914),divide(X2915,X2914)),
    inference(resolution,status(thm),[c6013,quotient_less_equal2]) ).

cnf(c6117,plain,
    divide(X2916,X2916) = divide(zero,X2916),
    inference(resolution,status(thm),[c6068,c135]) ).

cnf(c6160,plain,
    divide(X2917,X2917) = zero,
    inference(resolution,status(thm),[c6117,c26]) ).

cnf(c6189,plain,
    less_equal(X2918,X2918),
    inference(resolution,status(thm),[c6160,quotient_less_equal2]) ).

cnf(c6203,plain,
    $false,
    inference(resolution,status(thm),[c6189,prove_a_LE_a]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : HEN012-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Fri Jul  1 13:03:00 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 2.96/3.19  # Version:  1.3
% 2.96/3.19  # SZS status Unsatisfiable
% 2.96/3.19  # SZS output start CNFRefutation
% See solution above
% 2.96/3.19  
% 2.96/3.19  # Initial clauses    : 13
% 2.96/3.19  # Processed clauses  : 271
% 2.96/3.19  # Factors computed   : 5
% 2.96/3.19  # Resolvents computed: 6207
% 2.96/3.19  # Tautologies deleted: 1
% 2.96/3.19  # Forward subsumed   : 1076
% 2.96/3.19  # Backward subsumed  : 28
% 2.96/3.19  # -------- CPU Time ---------
% 2.96/3.19  # User time          : 2.837 s
% 2.96/3.19  # System time        : 0.027 s
% 2.96/3.19  # Total time         : 2.864 s
%------------------------------------------------------------------------------