%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GRP029-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n006.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 0.72s 0.89s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (   6 unt;   0 nHn;   8 RR)
%            Number of literals    :   24 (   0 equ;  13 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   29 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_there_is_a_right_identity,negated_conjecture,
    ~ product(not_right_identity(X14),X14,not_right_identity(X14)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).

cnf(left_identity,axiom,
    product(identity,X3,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).

cnf(associativity2,axiom,
    ( ~ product(X39,X37,X35)
    | ~ product(X37,X36,X34)
    | ~ product(X39,X34,X38)
    | product(X35,X36,X38) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP002-0.ax',associativity2) ).

cnf(c22,plain,
    ( ~ product(X118,X120,X121)
    | ~ product(X120,X119,X120)
    | product(X121,X119,X121) ),
    inference(factor,[status(thm)],[associativity2]) ).

cnf(c146,plain,
    ( ~ product(X144,identity,X143)
    | product(X143,identity,X143) ),
    inference(resolution,[status(thm)],[c22,left_identity]) ).

cnf(left_inverse,axiom,
    product(inverse(X6),X6,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).

cnf(associativity1,axiom,
    ( ~ product(X26,X24,X22)
    | ~ product(X24,X23,X21)
    | ~ product(X22,X23,X25)
    | product(X26,X21,X25) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP002-0.ax',associativity1) ).

cnf(c14,plain,
    ( ~ product(X102,X101,identity)
    | ~ product(X101,X103,X100)
    | product(X102,X100,X103) ),
    inference(resolution,[status(thm)],[associativity1,left_identity]) ).

cnf(c115,plain,
    ( ~ product(X291,inverse(X292),identity)
    | product(X291,identity,X292) ),
    inference(resolution,[status(thm)],[c14,left_inverse]) ).

cnf(c1081,plain,
    product(inverse(inverse(X294)),identity,X294),
    inference(resolution,[status(thm)],[c115,left_inverse]) ).

cnf(c1114,plain,
    product(X295,identity,X295),
    inference(resolution,[status(thm)],[c1081,c146]) ).

cnf(c1118,plain,
    $false,
    inference(resolution,[status(thm)],[c1114,prove_there_is_a_right_identity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP029-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  9 04:59:53 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.72/0.89  % Version:  1.5
% 0.72/0.89  % SZS status Unsatisfiable
% 0.72/0.89  % SZS output start CNFRefutation
% See solution above
% 0.72/0.89  
% 0.72/0.89  % Initial clauses    : 14
% 0.72/0.89  % Processed clauses  : 119
% 0.72/0.89  % Factors computed   : 19
% 0.72/0.89  % Resolvents computed: 1121
% 0.72/0.89  % Tautologies deleted: 8
% 0.72/0.89  % Forward subsumed   : 109
% 0.72/0.89  % Backward subsumed  : 5
% 0.72/0.89  % -------- CPU Time ---------
% 0.72/0.89  % User time          : 0.523 s
% 0.72/0.89  % System time        : 0.015 s
% 0.72/0.89  % Total time         : 0.538 s
%------------------------------------------------------------------------------