%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : BOO011-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : Thu Jul 14 23:48:12 EDT 2022

% Result   : Unsatisfiable 0.38s 0.58s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_inverse_of_1_is_0,negated_conjecture,
    inverse(additive_identity) != multiplicative_identity,
    input ).

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

cnf(additive_inverse1,axiom,
    add(X25,inverse(X25)) = multiplicative_identity,
    input ).

cnf(c15,plain,
    multiplicative_identity = add(X36,inverse(X36)),
    inference(resolution,status(thm),[additive_inverse1,symmetry]) ).

cnf(additive_id2,axiom,
    add(additive_identity,X6) = X6,
    input ).

cnf(transitivity,axiom,
    ( X52 != X51
    | X51 != X50
    | X52 = X50 ),
    eq_axiom ).

cnf(c45,plain,
    ( X90 != add(additive_identity,X89)
    | X90 = X89 ),
    inference(resolution,status(thm),[transitivity,additive_id2]) ).

cnf(c261,plain,
    multiplicative_identity = inverse(additive_identity),
    inference(resolution,status(thm),[c45,c15]) ).

cnf(c275,plain,
    inverse(additive_identity) = multiplicative_identity,
    inference(resolution,status(thm),[c261,symmetry]) ).

cnf(c284,plain,
    $false,
    inference(resolution,status(thm),[c275,prove_inverse_of_1_is_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : BOO011-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : Wed Jun  1 22:41:07 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.38/0.58  # Version:  1.3
% 0.38/0.58  # SZS status Unsatisfiable
% 0.38/0.58  # SZS output start CNFRefutation
% See solution above
% 0.38/0.58  
% 0.38/0.58  # Initial clauses    : 21
% 0.38/0.58  # Processed clauses  : 42
% 0.38/0.58  # Factors computed   : 0
% 0.38/0.58  # Resolvents computed: 290
% 0.38/0.58  # Tautologies deleted: 1
% 0.38/0.58  # Forward subsumed   : 25
% 0.38/0.58  # Backward subsumed  : 0
% 0.38/0.58  # -------- CPU Time ---------
% 0.38/0.58  # User time          : 0.221 s
% 0.38/0.58  # System time        : 0.017 s
% 0.38/0.58  # Total time         : 0.238 s
%------------------------------------------------------------------------------