%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP012-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n018.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  : 600s
% DateTime : Sat Jul 16 11:21:17 EDT 2022

% Result   : Unsatisfiable 2.07s 2.24s
% Output   : Refutation 2.07s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_c_multiply_d_is_identity,negated_conjecture,
    ~ product(c,d,identity),
    input ).

cnf(a_multiply_b_is_c,plain,
    product(a,b,c),
    input ).

cnf(right_inverse,axiom,
    product(X6,inverse(X6),identity),
    input ).

cnf(right_identity,axiom,
    product(X4,identity,X4),
    input ).

cnf(associativity2,axiom,
    ( ~ product(X33,X30,X35)
    | ~ product(X30,X34,X32)
    | ~ product(X33,X32,X31)
    | product(X35,X34,X31) ),
    input ).

cnf(c32,plain,
    ( ~ product(X147,X146,X145)
    | ~ product(X146,X148,identity)
    | product(X145,X148,X147) ),
    inference(resolution,status(thm),[associativity2,right_identity]) ).

cnf(c298,plain,
    ( ~ product(X303,X302,X304)
    | product(X304,inverse(X302),X303) ),
    inference(resolution,status(thm),[c32,right_inverse]) ).

cnf(c1368,plain,
    product(c,inverse(b),a),
    inference(resolution,status(thm),[c298,a_multiply_b_is_c]) ).

cnf(inverse_b_multiply_inverse_a_is_d,plain,
    product(inverse(b),inverse(a),d),
    input ).

cnf(associativity1,axiom,
    ( ~ product(X23,X20,X25)
    | ~ product(X20,X24,X22)
    | ~ product(X25,X24,X21)
    | product(X23,X22,X21) ),
    input ).

cnf(c22,plain,
    ( ~ product(X121,X123,X120)
    | ~ product(X123,inverse(X120),X122)
    | product(X121,X122,identity) ),
    inference(resolution,status(thm),[associativity1,right_inverse]) ).

cnf(c223,plain,
    ( ~ product(X673,inverse(b),a)
    | product(X673,d,identity) ),
    inference(resolution,status(thm),[c22,inverse_b_multiply_inverse_a_is_d]) ).

cnf(c5978,plain,
    product(c,d,identity),
    inference(resolution,status(thm),[c223,c1368]) ).

cnf(c5983,plain,
    $false,
    inference(resolution,status(thm),[c5978,prove_c_multiply_d_is_identity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem  : GRP012-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Tue Jun 14 04:21:58 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 2.07/2.24  # Version:  1.3
% 2.07/2.24  # SZS status Unsatisfiable
% 2.07/2.24  # SZS output start CNFRefutation
% See solution above
% 2.07/2.24  
% 2.07/2.24  # Initial clauses    : 17
% 2.07/2.24  # Processed clauses  : 292
% 2.07/2.24  # Factors computed   : 2
% 2.07/2.24  # Resolvents computed: 5994
% 2.07/2.24  # Tautologies deleted: 6
% 2.07/2.24  # Forward subsumed   : 453
% 2.07/2.24  # Backward subsumed  : 5
% 2.07/2.24  # -------- CPU Time ---------
% 2.07/2.24  # User time          : 1.854 s
% 2.07/2.24  # System time        : 0.023 s
% 2.07/2.24  # Total time         : 1.877 s
%------------------------------------------------------------------------------