%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM837+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %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 14:30:54 EDT 2022

% Result   : Theorem 0.18s 0.44s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    6 (   0 equ;   3 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    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    less(vd268,vd269),
    file('NUM837+1.p',unknown),
    [] ).

cnf(7,axiom,
    ~ equal(vplus(vd268,u),vd269),
    file('NUM837+1.p',unknown),
    [] ).

cnf(33,axiom,
    ( ~ less(u,v)
    | equal(vplus(u,skf4(u,v)),v) ),
    file('NUM837+1.p',unknown),
    [] ).

cnf(39,plain,
    ~ less(vd268,vd269),
    inference(res,[status(thm),theory(equality)],[33,7]),
    [iquote('0:Res:33.1,7.0')] ).

cnf(55,plain,
    $false,
    inference(mrr,[status(thm)],[39,2]),
    [iquote('0:MRR:39.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : NUM837+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.11/0.33  % Computer : n010.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Thu Jul  7 15:05:46 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  
% 0.18/0.44  SPASS V 3.9 
% 0.18/0.44  SPASS beiseite: Proof found.
% 0.18/0.44  % SZS status Theorem
% 0.18/0.44  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.44  SPASS derived 10 clauses, backtracked 0 clauses, performed 0 splits and kept 37 clauses.
% 0.18/0.44  SPASS allocated 85205 KBytes.
% 0.18/0.44  SPASS spent	0:00:00.09 on the problem.
% 0.18/0.44  		0:00:00.04 for the input.
% 0.18/0.44  		0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.44  		0:00:00.00 for inferences.
% 0.18/0.44  		0:00:00.00 for the backtracking.
% 0.18/0.44  		0:00:00.00 for the reduction.
% 0.18/0.44  
% 0.18/0.44  
% 0.18/0.44  Here is a proof with depth 1, length 5 :
% 0.18/0.44  % SZS output start Refutation
% See solution above
% 0.18/0.44  Formulae used in the proof : holds_a40_conjunct1_a40_170_a41__a44__a32_270_a44__a32_0_a41_ qe_a40_171_a41_ def_a40_cond_a40_conseq_a40_axiom_a40_3_a41__a41__a44__a32_12_a41__a44__a32_1_a41_
% 0.18/0.44  
%------------------------------------------------------------------------------