%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM343+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n024.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 14:25:27 EDT 2022

% Result   : Theorem 0.44s 0.61s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    4 (   3 unt;   0 nHn;   4 RR)
%            Number of literals    :    5 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    less(u,n1),
    file('NUM343+1.p',unknown),
    [] ).

cnf(225,axiom,
    ( ~ less(u,v)
    | ~ less(v,u) ),
    file('NUM343+1.p',unknown),
    [] ).

cnf(410,plain,
    ~ less(n1,u),
    inference(res,[status(thm),theory(equality)],[2,225]),
    [iquote('0:Res:2.0,225.0')] ).

cnf(426,plain,
    $false,
    inference(unc,[status(thm)],[410,2]),
    [iquote('0:UnC:410.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM343+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jul  6 06:46:44 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.44/0.61  
% 0.44/0.61  SPASS V 3.9 
% 0.44/0.61  SPASS beiseite: Proof found.
% 0.44/0.61  % SZS status Theorem
% 0.44/0.61  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.44/0.61  SPASS derived 16 clauses, backtracked 0 clauses, performed 0 splits and kept 412 clauses.
% 0.44/0.61  SPASS allocated 98726 KBytes.
% 0.44/0.61  SPASS spent	0:00:00.25 on the problem.
% 0.44/0.61  		0:00:00.04 for the input.
% 0.44/0.61  		0:00:00.11 for the FLOTTER CNF translation.
% 0.44/0.61  		0:00:00.00 for inferences.
% 0.44/0.61  		0:00:00.00 for the backtracking.
% 0.44/0.61  		0:00:00.04 for the reduction.
% 0.44/0.61  
% 0.44/0.61  
% 0.44/0.61  Here is a proof with depth 1, length 4 :
% 0.44/0.61  % SZS output start Refutation
% See solution above
% 0.44/0.61  Formulae used in the proof : sum_something_n0_samething less_property
% 0.44/0.61  
%------------------------------------------------------------------------------