%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP023-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n023.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 11:21:20 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_inverse_of_id_is_id,negated_conjecture,
    inverse(identity) != identity,
    input ).

cnf(symmetry,axiom,
    ( X6 != X5
    | X5 = X6 ),
    eq_axiom ).

cnf(right_inverse,axiom,
    multiply(X16,inverse(X16)) = identity,
    input ).

cnf(c9,plain,
    identity = multiply(X18,inverse(X18)),
    inference(resolution,status(thm),[right_inverse,symmetry]) ).

cnf(left_identity,axiom,
    multiply(identity,X3) = X3,
    input ).

cnf(transitivity,axiom,
    ( X23 != X21
    | X21 != X22
    | X23 = X22 ),
    eq_axiom ).

cnf(c15,plain,
    ( X29 != multiply(identity,X30)
    | X29 = X30 ),
    inference(resolution,status(thm),[transitivity,left_identity]) ).

cnf(c34,plain,
    identity = inverse(identity),
    inference(resolution,status(thm),[c15,c9]) ).

cnf(c51,plain,
    inverse(identity) = identity,
    inference(resolution,status(thm),[c34,symmetry]) ).

cnf(c55,plain,
    $false,
    inference(resolution,status(thm),[c51,prove_inverse_of_id_is_id]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP023-2 : 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 : n023.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 18:20:21 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.53  # Version:  1.3
% 0.20/0.53  # SZS status Unsatisfiable
% 0.20/0.53  # SZS output start CNFRefutation
% See solution above
% 0.20/0.53  
% 0.20/0.53  # Initial clauses    : 11
% 0.20/0.53  # Processed clauses  : 18
% 0.20/0.53  # Factors computed   : 0
% 0.20/0.53  # Resolvents computed: 56
% 0.20/0.53  # Tautologies deleted: 1
% 0.20/0.53  # Forward subsumed   : 9
% 0.20/0.53  # Backward subsumed  : 0
% 0.20/0.53  # -------- CPU Time ---------
% 0.20/0.53  # User time          : 0.175 s
% 0.20/0.53  # System time        : 0.015 s
% 0.20/0.53  # Total time         : 0.190 s
%------------------------------------------------------------------------------