%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM549+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n003.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 14:27:23 EDT 2022

% Result   : Theorem 0.18s 0.54s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   20 (   8 unt;   3 nHn;  20 RR)
%            Number of literals    :   39 (   0 equ;  20 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,axiom,
    aSet0(xQ),
    file('NUM549+1.p',unknown),
    [] ).

cnf(7,axiom,
    isFinite0(xQ),
    file('NUM549+1.p',unknown),
    [] ).

cnf(14,axiom,
    ~ equal(xk,sz00),
    file('NUM549+1.p',unknown),
    [] ).

cnf(15,axiom,
    equal(sbrdtbr0(xQ),xk),
    file('NUM549+1.p',unknown),
    [] ).

cnf(17,axiom,
    ( ~ equal(u,slcrc0)
    | aSet0(u) ),
    file('NUM549+1.p',unknown),
    [] ).

cnf(22,axiom,
    ( ~ aElement0(u)
    | ~ aElementOf0(u,xQ) ),
    file('NUM549+1.p',unknown),
    [] ).

cnf(34,axiom,
    ( ~ aSet0(u)
    | ~ aElementOf0(v,u)
    | aElement0(v) ),
    file('NUM549+1.p',unknown),
    [] ).

cnf(42,axiom,
    ( ~ aSet0(u)
    | equal(u,slcrc0)
    | aElementOf0(skf11(u),u) ),
    file('NUM549+1.p',unknown),
    [] ).

cnf(49,axiom,
    ( ~ aSet0(u)
    | ~ equal(u,slcrc0)
    | equal(sbrdtbr0(u),sz00) ),
    file('NUM549+1.p',unknown),
    [] ).

cnf(117,plain,
    ( ~ equal(u,slcrc0)
    | equal(sbrdtbr0(u),sz00) ),
    inference(mrr,[status(thm)],[49,17]),
    [iquote('0:MRR:49.0,17.1')] ).

cnf(132,plain,
    ( ~ equal(xQ,slcrc0)
    | equal(xk,sz00) ),
    inference(spr,[status(thm),theory(equality)],[117,15]),
    [iquote('0:SpR:117.1,15.0')] ).

cnf(135,plain,
    ~ equal(xQ,slcrc0),
    inference(mrr,[status(thm)],[132,14]),
    [iquote('0:MRR:132.1,14.0')] ).

cnf(207,plain,
    ( ~ aSet0(xQ)
    | ~ aElement0(skf11(xQ))
    | equal(xQ,slcrc0) ),
    inference(res,[status(thm),theory(equality)],[42,22]),
    [iquote('0:Res:42.2,22.1')] ).

cnf(209,plain,
    ( ~ aSet0(u)
    | ~ aSet0(u)
    | equal(u,slcrc0)
    | aElement0(skf11(u)) ),
    inference(res,[status(thm),theory(equality)],[42,34]),
    [iquote('0:Res:42.2,34.1')] ).

cnf(212,plain,
    ( ~ aElement0(skf11(xQ))
    | equal(xQ,slcrc0) ),
    inference(ssi,[status(thm)],[207,7,6]),
    [iquote('0:SSi:207.0,7.0,6.0')] ).

cnf(213,plain,
    ~ aElement0(skf11(xQ)),
    inference(mrr,[status(thm)],[212,135]),
    [iquote('0:MRR:212.1,135.0')] ).

cnf(216,plain,
    ( ~ aSet0(u)
    | equal(u,slcrc0)
    | aElement0(skf11(u)) ),
    inference(obv,[status(thm),theory(equality)],[209]),
    [iquote('0:Obv:209.0')] ).

cnf(223,plain,
    ( ~ aSet0(xQ)
    | equal(xQ,slcrc0) ),
    inference(sor,[status(thm)],[213,216]),
    [iquote('0:SoR:213.0,216.2')] ).

cnf(224,plain,
    equal(xQ,slcrc0),
    inference(ssi,[status(thm)],[223,7,6]),
    [iquote('0:SSi:223.0,7.0,6.0')] ).

cnf(225,plain,
    $false,
    inference(mrr,[status(thm)],[224,135]),
    [iquote('0:MRR:224.0,135.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM549+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jul  6 20:51:56 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.54  
% 0.18/0.54  SPASS V 3.9 
% 0.18/0.54  SPASS beiseite: Proof found.
% 0.18/0.54  % SZS status Theorem
% 0.18/0.54  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.54  SPASS derived 77 clauses, backtracked 0 clauses, performed 0 splits and kept 159 clauses.
% 0.18/0.54  SPASS allocated 99342 KBytes.
% 0.18/0.54  SPASS spent	0:00:00.19 on the problem.
% 0.18/0.54  		0:00:00.04 for the input.
% 0.18/0.54  		0:00:00.11 for the FLOTTER CNF translation.
% 0.18/0.54  		0:00:00.00 for inferences.
% 0.18/0.54  		0:00:00.00 for the backtracking.
% 0.18/0.54  		0:00:00.01 for the reduction.
% 0.18/0.54  
% 0.18/0.54  
% 0.18/0.54  Here is a proof with depth 2, length 20 :
% 0.18/0.54  % SZS output start Refutation
% See solution above
% 0.18/0.54  Formulae used in the proof : m__2291 m__2202_02 mDefEmp m__ mEOfElem mCardEmpty
% 0.18/0.54  
%------------------------------------------------------------------------------