%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GRP007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n013.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 17:22:45 EDT 2024

% Result   : Unsatisfiable 0.22s 0.55s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   5 RR)
%            Number of literals    :   10 (   4 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    8 (   0 sgn)

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

cnf(another_left_identity,plain,
    product(c,X5,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',another_left_identity) ).

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

cnf(total_function2,axiom,
    ( ~ product(X17,X15,X16)
    | ~ product(X17,X15,X14)
    | X16 = X14 ),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',total_function2) ).

cnf(c5,plain,
    ( ~ product(X22,identity,X21)
    | X21 = X22 ),
    inference(resolution,[status(thm)],[total_function2,right_identity]) ).

cnf(c13,plain,
    identity = c,
    inference(resolution,[status(thm)],[c5,another_left_identity]) ).

cnf(c17,plain,
    $false,
    inference(resolution,[status(thm)],[c13,prove_identity_equals_c]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GRP007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36  % Computer : n013.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu May  9 04:19:08 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.22/0.55  % Version:  1.5
% 0.22/0.55  % SZS status Unsatisfiable
% 0.22/0.55  % SZS output start CNFRefutation
% See solution above
% 0.22/0.55  
% 0.22/0.55  % Initial clauses    : 17
% 0.22/0.55  % Processed clauses  : 13
% 0.22/0.55  % Factors computed   : 1
% 0.22/0.55  % Resolvents computed: 15
% 0.22/0.55  % Tautologies deleted: 0
% 0.22/0.55  % Forward subsumed   : 3
% 0.22/0.55  % Backward subsumed  : 0
% 0.22/0.55  % -------- CPU Time ---------
% 0.22/0.55  % User time          : 0.163 s
% 0.22/0.55  % System time        : 0.018 s
% 0.22/0.55  % Total time         : 0.182 s
%------------------------------------------------------------------------------