%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : NUM023-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n022.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  : 300s
% DateTime : Thu May  9 17:35:02 EDT 2024

% Result   : Unsatisfiable 0.40s 0.57s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   3 RR)
%            Number of literals    :    6 (   0 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    5 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_zero_is_less_than_all_successors,negated_conjecture,
    ~ less(n0,successor(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_zero_is_less_than_all_successors) ).

cnf(adding_zero,axiom,
    equalish(add(X5,n0),X5),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-0.ax',adding_zero) ).

cnf(smaller_number,axiom,
    ( ~ equalish(add(successor(X34),X33),X32)
    | less(X33,X32) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-1.ax',smaller_number) ).

cnf(c22,plain,
    less(n0,successor(X35)),
    inference(resolution,[status(thm)],[smaller_number,adding_zero]) ).

cnf(c27,plain,
    $false,
    inference(resolution,[status(thm)],[c22,prove_zero_is_less_than_all_successors]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : NUM023-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.04/0.15  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36  % Computer : n022.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed May  8 16:15:53 EDT 2024
% 0.15/0.37  % CPUTime  : 
% 0.40/0.57  % Version:  1.5
% 0.40/0.57  % SZS status Unsatisfiable
% 0.40/0.57  % SZS output start CNFRefutation
% See solution above
% 0.40/0.57  
% 0.40/0.57  % Initial clauses    : 15
% 0.40/0.57  % Processed clauses  : 19
% 0.40/0.57  % Factors computed   : 1
% 0.40/0.57  % Resolvents computed: 27
% 0.40/0.57  % Tautologies deleted: 1
% 0.40/0.57  % Forward subsumed   : 5
% 0.40/0.57  % Backward subsumed  : 0
% 0.40/0.57  % -------- CPU Time ---------
% 0.40/0.57  % User time          : 0.177 s
% 0.40/0.57  % System time        : 0.022 s
% 0.40/0.57  % Total time         : 0.199 s
%------------------------------------------------------------------------------