%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : BOO011-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n005.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  : 300s
% DateTime : Thu May  9 17:16:45 EDT 2024

% Result   : Unsatisfiable 0.42s 0.61s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   7 unt;   0 nHn;   7 RR)
%            Number of literals    :   14 (  13 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_inverse_of_1_is_0,negated_conjecture,
    inverse(additive_identity) != multiplicative_identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_of_1_is_0) ).

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

cnf(additive_inverse2,axiom,
    add(inverse(X26),X26) = multiplicative_identity,
    file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',additive_inverse2) ).

cnf(c16,plain,
    multiplicative_identity = add(inverse(X37),X37),
    inference(resolution,[status(thm)],[additive_inverse2,symmetry]) ).

cnf(additive_id1,axiom,
    add(X5,additive_identity) = X5,
    file('/export/starexec/sandbox/benchmark/Axioms/BOO003-0.ax',additive_id1) ).

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

cnf(c43,plain,
    ( X85 != add(X84,additive_identity)
    | X85 = X84 ),
    inference(resolution,[status(thm)],[transitivity,additive_id1]) ).

cnf(c223,plain,
    multiplicative_identity = inverse(additive_identity),
    inference(resolution,[status(thm)],[c43,c16]) ).

cnf(c245,plain,
    inverse(additive_identity) = multiplicative_identity,
    inference(resolution,[status(thm)],[c223,symmetry]) ).

cnf(c262,plain,
    $false,
    inference(resolution,[status(thm)],[c245,prove_inverse_of_1_is_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : BOO011-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed May  8 22:25:23 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.42/0.61  % Version:  1.5
% 0.42/0.61  % SZS status Unsatisfiable
% 0.42/0.61  % SZS output start CNFRefutation
% See solution above
% 0.42/0.61  
% 0.42/0.61  % Initial clauses    : 21
% 0.42/0.61  % Processed clauses  : 41
% 0.42/0.61  % Factors computed   : 3
% 0.42/0.61  % Resolvents computed: 261
% 0.42/0.61  % Tautologies deleted: 2
% 0.42/0.61  % Forward subsumed   : 24
% 0.42/0.61  % Backward subsumed  : 0
% 0.42/0.61  % -------- CPU Time ---------
% 0.42/0.61  % User time          : 0.227 s
% 0.42/0.61  % System time        : 0.019 s
% 0.42/0.61  % Total time         : 0.246 s
%------------------------------------------------------------------------------