%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GRP028-4 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n012.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 17:22:50 EDT 2024

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   5 unt;   0 nHn;   5 RR)
%            Number of literals    :   14 (   0 equ;   7 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   0 con; 1-2 aty)
%            Number of variables   :   20 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_there_is_a_right_identity,negated_conjecture,
    ~ product(not_identity(X6),X6,not_identity(X6)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).

cnf(left_soln,plain,
    product(left_solution(X2,X3),X2,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_soln) ).

cnf(right_soln,plain,
    product(X4,right_solution(X4,X5),X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_soln) ).

cnf(associativity1,axiom,
    ( ~ product(X7,X12,X9)
    | ~ product(X12,X8,X10)
    | ~ product(X7,X10,X11)
    | product(X9,X8,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).

cnf(c0,plain,
    ( ~ product(X13,X15,X16)
    | ~ product(X15,X14,X15)
    | product(X16,X14,X16) ),
    inference(factor,[status(thm)],[associativity1]) ).

cnf(c5,plain,
    ( ~ product(X24,X25,X26)
    | product(X26,right_solution(X25,X25),X26) ),
    inference(resolution,[status(thm)],[c0,right_soln]) ).

cnf(c10,plain,
    product(X27,right_solution(X28,X28),X27),
    inference(resolution,[status(thm)],[c5,left_soln]) ).

cnf(c13,plain,
    $false,
    inference(resolution,[status(thm)],[c10,prove_there_is_a_right_identity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP028-4 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n012.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
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Thu May  9 03:52:37 EDT 2024
% 0.12/0.35  % CPUTime  : 
% 0.20/0.54  % Version:  1.5
% 0.20/0.54  % SZS status Unsatisfiable
% 0.20/0.54  % SZS output start CNFRefutation
% See solution above
% 0.20/0.54  
% 0.20/0.54  % Initial clauses    : 5
% 0.20/0.54  % Processed clauses  : 8
% 0.20/0.54  % Factors computed   : 5
% 0.20/0.54  % Resolvents computed: 11
% 0.20/0.54  % Tautologies deleted: 1
% 0.20/0.54  % Forward subsumed   : 0
% 0.20/0.54  % Backward subsumed  : 1
% 0.20/0.54  % -------- CPU Time ---------
% 0.20/0.54  % User time          : 0.171 s
% 0.20/0.54  % System time        : 0.015 s
% 0.20/0.54  % Total time         : 0.186 s
%------------------------------------------------------------------------------