%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GRP021-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n029.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 0.40s 0.56s
% Output   : Refutation 0.40s
% 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    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

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

cnf(total_function1,axiom,
    product(X8,X7,multiply(X8,X7)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',total_function1) ).

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

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

cnf(c7,plain,
    ( ~ product(X53,inverse(X53),X52)
    | X52 = identity ),
    inference(resolution,[status(thm)],[total_function2,right_inverse]) ).

cnf(c55,plain,
    multiply(X58,inverse(X58)) = identity,
    inference(resolution,[status(thm)],[c7,total_function1]) ).

cnf(c65,plain,
    $false,
    inference(resolution,[status(thm)],[c55,prove_X_times_inverse_X_is_id]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14  % Problem  : GRP021-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.36  % Computer : n029.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Thu May  9 03:53:08 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 0.40/0.56  % Version:  1.5
% 0.40/0.56  % SZS status Unsatisfiable
% 0.40/0.56  % SZS output start CNFRefutation
% See solution above
% 0.40/0.56  
% 0.40/0.56  % Initial clauses    : 15
% 0.40/0.56  % Processed clauses  : 24
% 0.40/0.56  % Factors computed   : 7
% 0.40/0.56  % Resolvents computed: 59
% 0.40/0.56  % Tautologies deleted: 2
% 0.40/0.56  % Forward subsumed   : 13
% 0.40/0.56  % Backward subsumed  : 0
% 0.40/0.56  % -------- CPU Time ---------
% 0.40/0.56  % User time          : 0.168 s
% 0.40/0.56  % System time        : 0.024 s
% 0.40/0.56  % Total time         : 0.192 s
%------------------------------------------------------------------------------