%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GRP031-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n005.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 17:22:51 EDT 2024

% Result   : Unsatisfiable 2.89s 3.11s
% Output   : Refutation 2.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            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;   2 con; 0-1 aty)
%            Number of variables   :   29 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_a_has_an_inverse,negated_conjecture,
    ~ product(a,X4,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_has_an_inverse) ).

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

cnf(left_inverse,plain,
    product(inverse(X7),X7,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).

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

cnf(c23,plain,
    ( ~ product(inverse(X135),X133,X136)
    | ~ product(X133,X134,X135)
    | product(X136,X134,identity) ),
    inference(resolution,[status(thm)],[associativity2,left_inverse]) ).

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

cnf(c13,plain,
    ( ~ product(X100,X102,identity)
    | ~ product(X102,X101,X99)
    | product(X100,X99,X101) ),
    inference(resolution,[status(thm)],[associativity1,left_identity]) ).

cnf(c91,plain,
    ( ~ product(X231,inverse(X230),identity)
    | product(X231,identity,X230) ),
    inference(resolution,[status(thm)],[c13,left_inverse]) ).

cnf(c680,plain,
    product(inverse(inverse(X232)),identity,X232),
    inference(resolution,[status(thm)],[c91,left_inverse]) ).

cnf(c683,plain,
    ( ~ product(identity,X1120,inverse(X1121))
    | product(X1121,X1120,identity) ),
    inference(resolution,[status(thm)],[c680,c23]) ).

cnf(c7983,plain,
    product(X1124,inverse(X1124),identity),
    inference(resolution,[status(thm)],[c683,left_identity]) ).

cnf(c8044,plain,
    $false,
    inference(resolution,[status(thm)],[c7983,prove_a_has_an_inverse]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GRP031-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n005.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May  9 04:37:22 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 2.89/3.11  % Version:  1.5
% 2.89/3.11  % SZS status Unsatisfiable
% 2.89/3.11  % SZS output start CNFRefutation
% See solution above
% 2.89/3.11  
% 2.89/3.11  % Initial clauses    : 13
% 2.89/3.11  % Processed clauses  : 348
% 2.89/3.11  % Factors computed   : 33
% 2.89/3.11  % Resolvents computed: 8021
% 2.89/3.11  % Tautologies deleted: 24
% 2.89/3.11  % Forward subsumed   : 680
% 2.89/3.11  % Backward subsumed  : 20
% 2.89/3.11  % -------- CPU Time ---------
% 2.89/3.11  % User time          : 2.738 s
% 2.89/3.11  % System time        : 0.019 s
% 2.89/3.11  % Total time         : 2.757 s
%------------------------------------------------------------------------------