%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : NUM020-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n010.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 : Mon Jul 18 13:33:58 EDT 2022

% Result   : Unsatisfiable 0.43s 0.61s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(deny_addition_lemma,negated_conjecture,
    ~ equalish(add(a,successor(n0)),successor(a)),
    input ).

cnf(addition,axiom,
    equalish(add(X9,successor(X8)),successor(add(X9,X8))),
    input ).

cnf(transitivity,axiom,
    ( ~ equalish(X24,X23)
    | ~ equalish(X23,X25)
    | equalish(X24,X25) ),
    input ).

cnf(adding_zero,axiom,
    equalish(add(X4,n0),X4),
    input ).

cnf(successor_substitution,axiom,
    ( ~ equalish(X19,X18)
    | equalish(successor(X19),successor(X18)) ),
    input ).

cnf(c12,plain,
    equalish(successor(add(X30,n0)),successor(X30)),
    inference(resolution,status(thm),[successor_substitution,adding_zero]) ).

cnf(c38,plain,
    ( ~ equalish(X103,successor(add(X104,n0)))
    | equalish(X103,successor(X104)) ),
    inference(resolution,status(thm),[c12,transitivity]) ).

cnf(c238,plain,
    equalish(add(X106,successor(n0)),successor(X106)),
    inference(resolution,status(thm),[c38,addition]) ).

cnf(c246,plain,
    $false,
    inference(resolution,status(thm),[c238,deny_addition_lemma]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM020-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.11/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.32  % Computer : n010.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Thu Jul  7 21:29:46 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.43/0.61  # Version:  1.3
% 0.43/0.61  # SZS status Unsatisfiable
% 0.43/0.61  # SZS output start CNFRefutation
% See solution above
% 0.43/0.61  
% 0.43/0.61  # Initial clauses    : 12
% 0.43/0.61  # Processed clauses  : 57
% 0.43/0.61  # Factors computed   : 0
% 0.43/0.61  # Resolvents computed: 255
% 0.43/0.61  # Tautologies deleted: 1
% 0.43/0.61  # Forward subsumed   : 60
% 0.43/0.61  # Backward subsumed  : 0
% 0.43/0.61  # -------- CPU Time ---------
% 0.43/0.61  # User time          : 0.266 s
% 0.43/0.61  # System time        : 0.021 s
% 0.43/0.61  # Total time         : 0.287 s
%------------------------------------------------------------------------------