%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : RNG124+4 : TPTP v8.1.0. Released v4.0.0.
% 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 20:41:33 EDT 2022

% Result   : Theorem 0.21s 0.68s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   4 unt;   1 nHn;   7 RR)
%            Number of literals    :   11 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(32,axiom,
    aElementOf0(xr,xI),
    file('RNG124+4.p',unknown),
    [] ).

cnf(51,axiom,
    ~ equal(sz00,xr),
    file('RNG124+4.p',unknown),
    [] ).

cnf(96,axiom,
    ( equal(sz00,xr)
    | iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
    file('RNG124+4.p',unknown),
    [] ).

cnf(141,axiom,
    ( ~ aElementOf0(u,xI)
    | ~ iLess0(sbrdtbr0(u),sbrdtbr0(xu))
    | equal(u,sz00) ),
    file('RNG124+4.p',unknown),
    [] ).

cnf(194,plain,
    iLess0(sbrdtbr0(xr),sbrdtbr0(xu)),
    inference(mrr,[status(thm)],[96,51]),
    [iquote('0:MRR:96.0,51.0')] ).

cnf(463,plain,
    ( ~ aElementOf0(xr,xI)
    | equal(sz00,xr) ),
    inference(res,[status(thm),theory(equality)],[194,141]),
    [iquote('0:Res:194.0,141.1')] ).

cnf(465,plain,
    $false,
    inference(mrr,[status(thm)],[463,32,51]),
    [iquote('0:MRR:463.0,463.1,32.0,51.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG124+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n024.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon May 30 08:45:21 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.68  
% 0.21/0.68  SPASS V 3.9 
% 0.21/0.68  SPASS beiseite: Proof found.
% 0.21/0.68  % SZS status Theorem
% 0.21/0.68  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.21/0.68  SPASS derived 219 clauses, backtracked 0 clauses, performed 0 splits and kept 263 clauses.
% 0.21/0.68  SPASS allocated 100439 KBytes.
% 0.21/0.68  SPASS spent	0:00:00.32 on the problem.
% 0.21/0.68  		0:00:00.04 for the input.
% 0.21/0.68  		0:00:00.23 for the FLOTTER CNF translation.
% 0.21/0.68  		0:00:00.00 for inferences.
% 0.21/0.68  		0:00:00.00 for the backtracking.
% 0.21/0.68  		0:00:00.02 for the reduction.
% 0.21/0.68  
% 0.21/0.68  
% 0.21/0.68  Here is a proof with depth 1, length 7 :
% 0.21/0.68  % SZS output start Refutation
% See solution above
% 0.21/0.68  Formulae used in the proof : m__2729 m__2673 m__2666 m__2273
% 0.21/0.68  
%------------------------------------------------------------------------------