%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : FLD018-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n022.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 23.65s 23.91s
% Output   : Refutation 23.74s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

cnf(commutativity_addition,axiom,
    ( sum(X18,X20,X19)
    | ~ sum(X20,X18,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(c30,plain,
    sum(additive_inverse(a),a,additive_identity),
    inference(resolution,status(thm),[existence_of_inverse_addition,a_is_defined]) ).

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

cnf(c44,plain,
    sum(a,additive_identity,additive_identity),
    inference(resolution,status(thm),[commutativity_addition,sum_2]) ).

cnf(associativity_addition_1,axiom,
    ( sum(X5,X7,X8)
    | ~ sum(X5,X3,X6)
    | ~ sum(X3,X4,X7)
    | ~ sum(X6,X4,X8) ),
    input ).

cnf(well_definedness_of_additive_identity,axiom,
    defined(additive_identity),
    input ).

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

cnf(c15,plain,
    sum(additive_identity,additive_identity,additive_identity),
    inference(resolution,status(thm),[existence_of_identity_addition,well_definedness_of_additive_identity]) ).

cnf(c21,plain,
    ( sum(X94,X95,additive_identity)
    | ~ sum(X94,X93,additive_identity)
    | ~ sum(X93,additive_identity,X95) ),
    inference(resolution,status(thm),[c15,associativity_addition_1]) ).

cnf(c1770,plain,
    ( sum(X359,additive_identity,additive_identity)
    | ~ sum(X359,a,additive_identity) ),
    inference(resolution,status(thm),[c21,c44]) ).

cnf(c84366,plain,
    sum(additive_inverse(a),additive_identity,additive_identity),
    inference(resolution,status(thm),[c1770,c30]) ).

cnf(c84484,plain,
    sum(additive_identity,additive_inverse(a),additive_identity),
    inference(resolution,status(thm),[c84366,commutativity_addition]) ).

cnf(c84506,plain,
    $false,
    inference(resolution,status(thm),[c84484,not_sum_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : FLD018-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun  6 23:09:50 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 23.65/23.91  # Version:  1.3
% 23.65/23.91  # SZS status Unsatisfiable
% 23.65/23.91  # SZS output start CNFRefutation
% See solution above
% 23.74/23.91  
% 23.74/23.91  # Initial clauses    : 29
% 23.74/23.91  # Processed clauses  : 1130
% 23.74/23.91  # Factors computed   : 6
% 23.74/23.91  # Resolvents computed: 84502
% 23.74/23.91  # Tautologies deleted: 6
% 23.74/23.91  # Forward subsumed   : 62
% 23.74/23.91  # Backward subsumed  : 8
% 23.74/23.91  # -------- CPU Time ---------
% 23.74/23.91  # User time          : 23.408 s
% 23.74/23.91  # System time        : 0.156 s
% 23.74/23.91  # Total time         : 23.564 s
%------------------------------------------------------------------------------