%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GRP030-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n015.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 0.60s 0.80s
% Output   : Refutation 0.60s
% 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;   2 con; 0-1 aty)
%            Number of variables   :   28 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_identity_is_a_right_identity,negated_conjecture,
    ~ product(a,identity,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_identity_is_a_right_identity) ).

cnf(left_identity,plain,
    product(identity,X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

cnf(associativity2,axiom,
    ( ~ product(X33,X35,X34)
    | ~ product(X35,X38,X37)
    | ~ product(X33,X37,X36)
    | product(X34,X38,X36) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP002-0.ax',associativity2) ).

cnf(c21,plain,
    ( ~ product(X117,X118,X116)
    | ~ product(X118,X115,X118)
    | product(X116,X115,X116) ),
    inference(factor,[status(thm)],[associativity2]) ).

cnf(c123,plain,
    ( ~ product(X130,identity,X131)
    | product(X131,identity,X131) ),
    inference(resolution,[status(thm)],[c21,left_identity]) ).

cnf(left_inverse,plain,
    product(inverse(X6),X6,identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).

cnf(associativity1,axiom,
    ( ~ product(X20,X22,X21)
    | ~ product(X22,X25,X24)
    | ~ product(X21,X25,X23)
    | product(X20,X24,X23) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP002-0.ax',associativity1) ).

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

cnf(c95,plain,
    ( ~ product(X281,inverse(X282),identity)
    | product(X281,identity,X282) ),
    inference(resolution,[status(thm)],[c13,left_inverse]) ).

cnf(c1000,plain,
    product(inverse(inverse(X283)),identity,X283),
    inference(resolution,[status(thm)],[c95,left_inverse]) ).

cnf(c1014,plain,
    product(X287,identity,X287),
    inference(resolution,[status(thm)],[c1000,c123]) ).

cnf(c1043,plain,
    $false,
    inference(resolution,[status(thm)],[c1014,prove_identity_is_a_right_identity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GRP030-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  9 04:28:08 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.60/0.80  % Version:  1.5
% 0.60/0.80  % SZS status Unsatisfiable
% 0.60/0.80  % SZS output start CNFRefutation
% See solution above
% 0.60/0.80  
% 0.60/0.80  % Initial clauses    : 13
% 0.60/0.80  % Processed clauses  : 112
% 0.60/0.80  % Factors computed   : 19
% 0.60/0.80  % Resolvents computed: 1029
% 0.60/0.80  % Tautologies deleted: 8
% 0.60/0.80  % Forward subsumed   : 103
% 0.60/0.80  % Backward subsumed  : 5
% 0.60/0.80  % -------- CPU Time ---------
% 0.60/0.80  % User time          : 0.429 s
% 0.60/0.80  % System time        : 0.022 s
% 0.60/0.80  % Total time         : 0.451 s
%------------------------------------------------------------------------------