%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : FLD019-3 : 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 02:24:48 EDT 2022

% Result   : Unsatisfiable 64.03s 64.20s
% Output   : Refutation 64.03s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_sum_3,negated_conjecture,
    ~ sum(additive_identity,a,additive_identity),
    input ).

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

cnf(existence_of_identity_addition,axiom,
    ( sum(additive_identity,X15,X15)
    | ~ defined(X15) ),
    input ).

cnf(c16,plain,
    sum(additive_identity,a,a),
    inference(resolution,status(thm),[existence_of_identity_addition,a_is_defined]) ).

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

cnf(sum_2,negated_conjecture,
    sum(additive_identity,additive_inverse(a),additive_identity),
    input ).

cnf(c68,plain,
    sum(additive_inverse(a),additive_identity,additive_identity),
    inference(resolution,status(thm),[sum_2,commutativity_addition]) ).

cnf(associativity_addition_2,axiom,
    ( sum(X11,X10,X13)
    | ~ sum(X12,X14,X11)
    | ~ sum(X14,X10,X9)
    | ~ sum(X12,X9,X13) ),
    input ).

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

cnf(c29,plain,
    sum(additive_inverse(a),a,additive_identity),
    inference(resolution,status(thm),[existence_of_inverse_addition,a_is_defined]) ).

cnf(c100,plain,
    ( sum(X176,X174,additive_identity)
    | ~ sum(additive_inverse(a),X175,X176)
    | ~ sum(X175,X174,a) ),
    inference(resolution,status(thm),[c29,associativity_addition_2]) ).

cnf(c8998,plain,
    ( sum(additive_identity,X437,additive_identity)
    | ~ sum(additive_identity,X437,a) ),
    inference(resolution,status(thm),[c100,c68]) ).

cnf(c175679,plain,
    sum(additive_identity,a,additive_identity),
    inference(resolution,status(thm),[c8998,c16]) ).

cnf(c175685,plain,
    $false,
    inference(resolution,status(thm),[c175679,not_sum_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : FLD019-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jun  6 21:48:50 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 64.03/64.20  # Version:  1.3
% 64.03/64.20  # SZS status Unsatisfiable
% 64.03/64.20  # SZS output start CNFRefutation
% See solution above
% 64.03/64.20  
% 64.03/64.20  # Initial clauses    : 29
% 64.03/64.20  # Processed clauses  : 1619
% 64.03/64.20  # Factors computed   : 8
% 64.03/64.20  # Resolvents computed: 175686
% 64.03/64.20  # Tautologies deleted: 24
% 64.03/64.20  # Forward subsumed   : 99
% 64.03/64.20  # Backward subsumed  : 4
% 64.03/64.20  # -------- CPU Time ---------
% 64.03/64.20  # User time          : 63.518 s
% 64.03/64.20  # System time        : 0.310 s
% 64.03/64.20  # Total time         : 63.828 s
%------------------------------------------------------------------------------