%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GRP028-3 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n020.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 0.42s 0.58s
% Output   : Refutation 0.42s
% 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(X8),X8,not_identity(X8)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).

cnf(left_soln,plain,
    product(left_solution(X5,X4),X5,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_soln) ).

cnf(right_soln,plain,
    product(X7,right_solution(X7,X6),X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_soln) ).

cnf(associativity2,axiom,
    ( ~ product(X15,X20,X17)
    | ~ product(X20,X18,X19)
    | ~ product(X15,X19,X16)
    | product(X17,X18,X16) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).

cnf(c5,plain,
    ( ~ product(X55,X58,X56)
    | ~ product(X58,X57,X58)
    | product(X56,X57,X56) ),
    inference(factor,[status(thm)],[associativity2]) ).

cnf(c46,plain,
    ( ~ product(X60,X62,X61)
    | product(X61,right_solution(X62,X62),X61) ),
    inference(resolution,[status(thm)],[c5,right_soln]) ).

cnf(c49,plain,
    product(X70,right_solution(X69,X69),X70),
    inference(resolution,[status(thm)],[c46,left_soln]) ).

cnf(c65,plain,
    $false,
    inference(resolution,[status(thm)],[c49,prove_there_is_a_right_identity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : GRP028-3 : TPTP v8.1.2. Released v1.1.0.
% 0.13/0.15  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.36  % Computer : n020.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
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Thu May  9 03:30:38 EDT 2024
% 0.16/0.36  % CPUTime  : 
% 0.42/0.58  % Version:  1.5
% 0.42/0.58  % SZS status Unsatisfiable
% 0.42/0.58  % SZS output start CNFRefutation
% See solution above
% 0.42/0.58  
% 0.42/0.58  % Initial clauses    : 6
% 0.42/0.58  % Processed clauses  : 20
% 0.42/0.58  % Factors computed   : 10
% 0.42/0.58  % Resolvents computed: 59
% 0.42/0.58  % Tautologies deleted: 4
% 0.42/0.58  % Forward subsumed   : 2
% 0.42/0.58  % Backward subsumed  : 2
% 0.42/0.58  % -------- CPU Time ---------
% 0.42/0.58  % User time          : 0.201 s
% 0.42/0.58  % System time        : 0.014 s
% 0.42/0.58  % Total time         : 0.215 s
%------------------------------------------------------------------------------