%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : HEN002-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n003.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 13:01:04 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(zero_is_smallest,axiom,
    less_equal(zero,X3),
    input ).

cnf(quotient_less_equal1,axiom,
    ( ~ less_equal(X10,X9)
    | divide(X10,X9) = zero ),
    input ).

cnf(c4,plain,
    divide(zero,X14) = zero,
    inference(resolution,status(thm),[quotient_less_equal1,zero_is_smallest]) ).

cnf(prove_zero_over_a_is_zero,negated_conjecture,
    divide(zero,a) != zero,
    input ).

cnf(c13,plain,
    $false,
    inference(resolution,status(thm),[prove_zero_over_a_is_zero,c4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : HEN002-4 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n003.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
% 0.19/0.34  % CPULimit : 300
% 0.19/0.34  % WCLimit  : 600
% 0.19/0.34  % DateTime : Fri Jul  1 13:43:22 EDT 2022
% 0.19/0.34  % CPUTime  : 
% 0.19/0.53  # Version:  1.3
% 0.19/0.53  # SZS status Unsatisfiable
% 0.19/0.53  # SZS output start CNFRefutation
% See solution above
% 0.19/0.53  
% 0.19/0.53  # Initial clauses    : 14
% 0.19/0.53  # Processed clauses  : 13
% 0.19/0.53  # Factors computed   : 0
% 0.19/0.53  # Resolvents computed: 12
% 0.19/0.53  # Tautologies deleted: 0
% 0.19/0.53  # Forward subsumed   : 6
% 0.19/0.53  # Backward subsumed  : 0
% 0.19/0.53  # -------- CPU Time ---------
% 0.19/0.53  # User time          : 0.175 s
% 0.19/0.53  # System time        : 0.010 s
% 0.19/0.53  # Total time         : 0.185 s
%------------------------------------------------------------------------------