%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : RNG124+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n025.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 0.20s 0.55s
% Output   : Refutation 0.20s
% 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(14,axiom,
    aElementOf0(xr,xI),
    file('RNG124+1.p',unknown),
    [] ).

cnf(29,axiom,
    ~ equal(sz00,xr),
    file('RNG124+1.p',unknown),
    [] ).

cnf(47,axiom,
    ( equal(sz00,xr)
    | iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
    file('RNG124+1.p',unknown),
    [] ).

cnf(73,axiom,
    ( ~ aElementOf0(u,xI)
    | ~ iLess0(sbrdtbr0(u),sbrdtbr0(xu))
    | equal(u,sz00) ),
    file('RNG124+1.p',unknown),
    [] ).

cnf(118,plain,
    iLess0(sbrdtbr0(xr),sbrdtbr0(xu)),
    inference(mrr,[status(thm)],[47,29]),
    [iquote('0:MRR:47.0,29.0')] ).

cnf(187,plain,
    ( ~ aElementOf0(xr,xI)
    | equal(sz00,xr) ),
    inference(res,[status(thm),theory(equality)],[118,73]),
    [iquote('0:Res:118.0,73.1')] ).

cnf(189,plain,
    $false,
    inference(mrr,[status(thm)],[187,14,29]),
    [iquote('0:MRR:187.0,187.1,14.0,29.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : RNG124+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n025.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 20:36:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.55  
% 0.20/0.55  SPASS V 3.9 
% 0.20/0.55  SPASS beiseite: Proof found.
% 0.20/0.55  % SZS status Theorem
% 0.20/0.55  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.55  SPASS derived 61 clauses, backtracked 0 clauses, performed 0 splits and kept 128 clauses.
% 0.20/0.55  SPASS allocated 99472 KBytes.
% 0.20/0.55  SPASS spent	0:00:00.20 on the problem.
% 0.20/0.55  		0:00:00.04 for the input.
% 0.20/0.55  		0:00:00.13 for the FLOTTER CNF translation.
% 0.20/0.55  		0:00:00.00 for inferences.
% 0.20/0.55  		0:00:00.00 for the backtracking.
% 0.20/0.55  		0:00:00.01 for the reduction.
% 0.20/0.55  
% 0.20/0.55  
% 0.20/0.55  Here is a proof with depth 1, length 7 :
% 0.20/0.55  % SZS output start Refutation
% See solution above
% 0.20/0.55  Formulae used in the proof : m__2729 m__2673 m__2666 m__2273
% 0.20/0.55  
%------------------------------------------------------------------------------