%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP018-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n019.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 11:21:19 EDT 2022

% Result   : Unsatisfiable 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_X_times_id_is_X,negated_conjecture,
    multiply(a,identity) != a,
    input ).

cnf(total_function1,axiom,
    product(X7,X8,multiply(X7,X8)),
    input ).

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

cnf(total_function2,axiom,
    ( ~ product(X17,X19,X20)
    | ~ product(X17,X19,X18)
    | X20 = X18 ),
    input ).

cnf(c7,plain,
    ( ~ product(X34,identity,X33)
    | X33 = X34 ),
    inference(resolution,status(thm),[total_function2,right_identity]) ).

cnf(c27,plain,
    multiply(X42,identity) = X42,
    inference(resolution,status(thm),[c7,total_function1]) ).

cnf(c37,plain,
    $false,
    inference(resolution,status(thm),[c27,prove_X_times_id_is_X]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : GRP018-1 : TPTP v8.1.0. Released v1.0.0.
% 0.14/0.15  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n019.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 07:10:54 EDT 2022
% 0.21/0.36  % CPUTime  : 
% 0.21/0.51  # Version:  1.3
% 0.21/0.51  # SZS status Unsatisfiable
% 0.21/0.51  # SZS output start CNFRefutation
% See solution above
% 0.21/0.51  
% 0.21/0.51  # Initial clauses    : 15
% 0.21/0.51  # Processed clauses  : 19
% 0.21/0.51  # Factors computed   : 0
% 0.21/0.51  # Resolvents computed: 36
% 0.21/0.51  # Tautologies deleted: 1
% 0.21/0.51  # Forward subsumed   : 7
% 0.21/0.51  # Backward subsumed  : 0
% 0.21/0.51  # -------- CPU Time ---------
% 0.21/0.51  # User time          : 0.133 s
% 0.21/0.51  # System time        : 0.011 s
% 0.21/0.51  # Total time         : 0.144 s
%------------------------------------------------------------------------------