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PyRes---1.5.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GRP018-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n018.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 17:22:47 EDT 2024

% Result   : Unsatisfiable 0.39s 0.59s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   4 RR)
%            Number of literals    :   10 (   4 equ;   4 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    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_X_times_id_is_X,negated_conjecture,
    multiply(a,identity) != a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_X_times_id_is_X) ).

cnf(total_function1,axiom,
    product(X8,X7,multiply(X8,X7)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',total_function1) ).

cnf(right_identity,axiom,
    product(X4,identity,X4),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_identity) ).

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

cnf(c9,plain,
    ( ~ product(X43,identity,X44)
    | X44 = X43 ),
    inference(resolution,[status(thm)],[total_function2,right_identity]) ).

cnf(c41,plain,
    multiply(X48,identity) = X48,
    inference(resolution,[status(thm)],[c9,total_function1]) ).

cnf(c47,plain,
    $false,
    inference(resolution,[status(thm)],[c41,prove_X_times_id_is_X]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : GRP018-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May  9 04:42:38 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.39/0.59  % Version:  1.5
% 0.39/0.59  % SZS status Unsatisfiable
% 0.39/0.59  % SZS output start CNFRefutation
% See solution above
% 0.39/0.59  
% 0.39/0.59  % Initial clauses    : 15
% 0.39/0.59  % Processed clauses  : 20
% 0.39/0.59  % Factors computed   : 6
% 0.39/0.59  % Resolvents computed: 42
% 0.39/0.59  % Tautologies deleted: 2
% 0.39/0.59  % Forward subsumed   : 9
% 0.39/0.59  % Backward subsumed  : 0
% 0.39/0.59  % -------- CPU Time ---------
% 0.39/0.59  % User time          : 0.211 s
% 0.39/0.59  % System time        : 0.015 s
% 0.39/0.59  % Total time         : 0.226 s
%------------------------------------------------------------------------------