%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP020-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n029.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 0.37s 0.55s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

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

cnf(left_inverse,axiom,
    product(inverse(X5),X5,identity),
    input ).

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

cnf(c5,plain,
    ( ~ product(inverse(X49),X49,X48)
    | X48 = identity ),
    inference(resolution,status(thm),[total_function2,left_inverse]) ).

cnf(c49,plain,
    multiply(inverse(X54),X54) = identity,
    inference(resolution,status(thm),[c5,total_function1]) ).

cnf(c58,plain,
    $false,
    inference(resolution,status(thm),[c49,prove_inverse_X_times_X_is_id]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP020-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n029.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  : 600
% 0.13/0.34  % DateTime : Mon Jun 13 22:09:10 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.37/0.55  # Version:  1.3
% 0.37/0.55  # SZS status Unsatisfiable
% 0.37/0.55  # SZS output start CNFRefutation
% See solution above
% 0.37/0.55  
% 0.37/0.55  # Initial clauses    : 15
% 0.37/0.55  # Processed clauses  : 24
% 0.37/0.55  # Factors computed   : 0
% 0.37/0.55  # Resolvents computed: 59
% 0.37/0.55  # Tautologies deleted: 1
% 0.37/0.55  # Forward subsumed   : 12
% 0.37/0.55  # Backward subsumed  : 0
% 0.37/0.55  # -------- CPU Time ---------
% 0.37/0.55  # User time          : 0.181 s
% 0.37/0.55  # System time        : 0.007 s
% 0.37/0.55  # Total time         : 0.188 s
%------------------------------------------------------------------------------