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PyRes---1.5.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GRP023-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n024.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 17:22:48 EDT 2024

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   7 RR)
%            Number of literals    :   13 (   7 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_inverse_of_id_is_id,negated_conjecture,
    inverse(identity) != identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_of_id_is_id) ).

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

cnf(right_inverse,axiom,
    product(X6,inverse(X6),identity),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_inverse) ).

cnf(left_identity,axiom,
    product(identity,X3,X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_identity) ).

cnf(total_function2,axiom,
    ( ~ product(X17,X16,X18)
    | ~ product(X17,X16,X19)
    | X18 = X19 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',total_function2) ).

cnf(c8,plain,
    ( ~ product(identity,X26,X25)
    | X25 = X26 ),
    inference(resolution,[status(thm)],[total_function2,left_identity]) ).

cnf(c12,plain,
    identity = inverse(identity),
    inference(resolution,[status(thm)],[c8,right_inverse]) ).

cnf(c23,plain,
    inverse(identity) = identity,
    inference(resolution,[status(thm)],[c12,symmetry]) ).

cnf(c27,plain,
    $false,
    inference(resolution,[status(thm)],[c23,prove_inverse_of_id_is_id]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP023-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n024.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  : 300
% 0.12/0.34  % DateTime : Thu May  9 04:46:38 EDT 2024
% 0.12/0.35  % CPUTime  : 
% 0.20/0.52  % Version:  1.5
% 0.20/0.52  % SZS status Unsatisfiable
% 0.20/0.52  % SZS output start CNFRefutation
% See solution above
% 0.20/0.52  
% 0.20/0.52  % Initial clauses    : 15
% 0.20/0.52  % Processed clauses  : 15
% 0.20/0.52  % Factors computed   : 4
% 0.20/0.52  % Resolvents computed: 23
% 0.20/0.52  % Tautologies deleted: 2
% 0.20/0.52  % Forward subsumed   : 4
% 0.20/0.52  % Backward subsumed  : 0
% 0.20/0.52  % -------- CPU Time ---------
% 0.20/0.52  % User time          : 0.165 s
% 0.20/0.52  % System time        : 0.011 s
% 0.20/0.52  % Total time         : 0.176 s
%------------------------------------------------------------------------------