%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : FLD067-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n029.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 02:25:03 EDT 2022

% Result   : Unsatisfiable 261.55s 261.85s
% Output   : Refutation 261.55s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_less_or_equal_6,negated_conjecture,
    ~ less_or_equal(additive_identity,u),
    input ).

cnf(less_or_equal_4,negated_conjecture,
    less_or_equal(a,b),
    input ).

cnf(commutativity_addition,axiom,
    ( sum(X20,X18,X19)
    | ~ sum(X18,X20,X19) ),
    input ).

cnf(a_is_defined,plain,
    defined(a),
    input ).

cnf(existence_of_inverse_addition,axiom,
    ( sum(additive_inverse(X16),X16,additive_identity)
    | ~ defined(X16) ),
    input ).

cnf(c37,plain,
    sum(additive_inverse(a),a,additive_identity),
    inference(resolution,status(thm),[existence_of_inverse_addition,a_is_defined]) ).

cnf(c200,plain,
    sum(a,additive_inverse(a),additive_identity),
    inference(resolution,status(thm),[c37,commutativity_addition]) ).

cnf(sum_5,negated_conjecture,
    sum(b,additive_inverse(a),u),
    input ).

cnf(compatibility_of_order_relation_and_addition,axiom,
    ( less_or_equal(X72,X76)
    | ~ less_or_equal(X73,X75)
    | ~ sum(X73,X74,X72)
    | ~ sum(X75,X74,X76) ),
    input ).

cnf(c849,plain,
    ( less_or_equal(X672,u)
    | ~ less_or_equal(X673,b)
    | ~ sum(X673,additive_inverse(a),X672) ),
    inference(resolution,status(thm),[compatibility_of_order_relation_and_addition,sum_5]) ).

cnf(c598357,plain,
    ( less_or_equal(additive_identity,u)
    | ~ less_or_equal(a,b) ),
    inference(resolution,status(thm),[c849,c200]) ).

cnf(c598362,plain,
    less_or_equal(additive_identity,u),
    inference(resolution,status(thm),[c598357,less_or_equal_4]) ).

cnf(c598366,plain,
    $false,
    inference(resolution,status(thm),[c598362,not_less_or_equal_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : FLD067-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n029.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Tue Jun  7 02:48:05 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 261.55/261.85  # Version:  1.3
% 261.55/261.85  # SZS status Unsatisfiable
% 261.55/261.85  # SZS output start CNFRefutation
% See solution above
% 261.55/261.85  
% 261.55/261.85  # Initial clauses    : 32
% 261.55/261.85  # Processed clauses  : 2816
% 261.55/261.85  # Factors computed   : 12
% 261.55/261.85  # Resolvents computed: 598355
% 261.55/261.85  # Tautologies deleted: 21
% 261.55/261.85  # Forward subsumed   : 105
% 261.55/261.85  # Backward subsumed  : 2
% 261.55/261.85  # -------- CPU Time ---------
% 261.55/261.85  # User time          : 260.465 s
% 261.55/261.85  # System time        : 0.963 s
% 261.55/261.85  # Total time         : 261.428 s
%------------------------------------------------------------------------------