TSTP Solution File: NUM556+3 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : NUM556+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n027.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 14:27:28 EDT 2022

% Result   : Theorem 0.90s 1.12s
% Output   : Refutation 0.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   42
% Syntax   : Number of clauses     :  101 (  48 unt;  16 nHn; 101 RR)
%            Number of literals    :  195 (   0 equ;  96 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  15 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    aSet0(szNzAzT0),
    file('NUM556+3.p',unknown),
    [] ).

cnf(3,axiom,
    isCountable0(szNzAzT0),
    file('NUM556+3.p',unknown),
    [] ).

cnf(4,axiom,
    aSet0(xS),
    file('NUM556+3.p',unknown),
    [] ).

cnf(7,axiom,
    aSet0(xQ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(8,axiom,
    isFinite0(xQ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(9,axiom,
    aElement0(xy),
    file('NUM556+3.p',unknown),
    [] ).

cnf(10,axiom,
    aSet0(xP),
    file('NUM556+3.p',unknown),
    [] ).

cnf(12,axiom,
    aElementOf0(xk,szNzAzT0),
    file('NUM556+3.p',unknown),
    [] ).

cnf(13,axiom,
    aElementOf0(xx,xS),
    file('NUM556+3.p',unknown),
    [] ).

cnf(15,axiom,
    aElementOf0(xy,xQ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(17,axiom,
    equal(slbdtrb0(sz00),slcrc0),
    file('NUM556+3.p',unknown),
    [] ).

cnf(20,axiom,
    aSet0(slbdtsldtrb0(xS,xk)),
    file('NUM556+3.p',unknown),
    [] ).

cnf(21,axiom,
    aSet0(slbdtsldtrb0(xT,xk)),
    file('NUM556+3.p',unknown),
    [] ).

cnf(23,axiom,
    equal(sbrdtbr0(xQ),xk),
    file('NUM556+3.p',unknown),
    [] ).

cnf(28,axiom,
    aElementOf0(skc36,slbdtsldtrb0(xS,xk)),
    file('NUM556+3.p',unknown),
    [] ).

cnf(29,axiom,
    aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
    file('NUM556+3.p',unknown),
    [] ).

cnf(30,axiom,
    ( ~ equal(u,slcrc0)
    | aSet0(u) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(33,axiom,
    ( ~ aSet0(u)
    | aElement0(sbrdtbr0(u)) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(36,axiom,
    ~ aElementOf0(xx,sdtmndt0(xQ,xy)),
    file('NUM556+3.p',unknown),
    [] ).

cnf(43,axiom,
    ( ~ aElementOf0(u,xQ)
    | aElementOf0(u,xS) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(44,axiom,
    equal(sdtpldt0(sdtmndt0(xQ,xy),xx),xP),
    file('NUM556+3.p',unknown),
    [] ).

cnf(45,axiom,
    ( ~ equal(sbrdtbr0(xP),xk)
    | aElementOf0(skc2,xP) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(46,axiom,
    ( ~ aElementOf0(u,v)
    | ~ equal(v,slcrc0) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(52,axiom,
    ( ~ aElementOf0(u,slbdtsldtrb0(xT,xk))
    | aSet0(u) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(55,axiom,
    ( ~ aElementOf0(skc2,xS)
    | ~ equal(sbrdtbr0(xP),xk) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(56,axiom,
    ( ~ aSubsetOf0(xP,xS)
    | ~ equal(sbrdtbr0(xP),xk) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(57,axiom,
    ( ~ aSet0(u)
    | ~ aElementOf0(v,u)
    | aElement0(v) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(64,axiom,
    ( ~ aElementOf0(u,szNzAzT0)
    | equal(sbrdtbr0(slbdtrb0(u)),u) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(65,axiom,
    ( ~ aElementOf0(u,slbdtsldtrb0(xS,xk))
    | aSubsetOf0(u,xS) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(68,axiom,
    ( ~ aElementOf0(u,sdtmndt0(xQ,xy))
    | aElementOf0(u,xQ) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(69,axiom,
    ( ~ aSet0(u)
    | equal(u,slcrc0)
    | aElementOf0(skf14(u),u) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(82,axiom,
    ( ~ aElementOf0(u,szNzAzT0)
    | ~ equal(v,slbdtrb0(u))
    | aSet0(v) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(83,axiom,
    ( ~ aElementOf0(u,slbdtsldtrb0(xS,xk))
    | aElementOf0(u,slbdtsldtrb0(xT,xk)) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(87,axiom,
    ( ~ aElementOf0(u,xP)
    | equal(u,xx)
    | aElementOf0(u,sdtmndt0(xQ,xy)) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(91,axiom,
    ( ~ isFinite0(u)
    | ~ aSet0(u)
    | ~ aElement0(v)
    | isFinite0(sdtpldt0(u,v)) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(92,axiom,
    ( ~ isFinite0(u)
    | ~ aSet0(u)
    | ~ aElement0(v)
    | isFinite0(sdtmndt0(u,v)) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(95,axiom,
    ( ~ aSet0(u)
    | ~ aElementOf0(v,w)
    | ~ aSubsetOf0(w,u)
    | aElementOf0(v,u) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(96,axiom,
    ( ~ aSet0(u)
    | ~ aSet0(v)
    | aSubsetOf0(v,u)
    | aElementOf0(skf15(v,w),v) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(98,axiom,
    ( ~ aElement0(u)
    | ~ aSet0(v)
    | ~ equal(w,sdtmndt0(v,u))
    | aSet0(w) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(123,axiom,
    ( ~ aSet0(u)
    | ~ equal(sbrdtbr0(u),xk)
    | aElementOf0(u,slbdtsldtrb0(xS,xk))
    | aElementOf0(skf25(u),u) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(126,axiom,
    ( ~ isFinite0(u)
    | ~ aSet0(u)
    | ~ aElementOf0(v,u)
    | equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(u,v))),sbrdtbr0(u)) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(137,axiom,
    ( ~ aElement0(u)
    | ~ isFinite0(v)
    | ~ aSet0(v)
    | aElementOf0(u,v)
    | equal(sbrdtbr0(sdtpldt0(v,u)),szszuzczcdt0(sbrdtbr0(v))) ),
    file('NUM556+3.p',unknown),
    [] ).

cnf(182,plain,
    ~ equal(sbrdtbr0(xP),xk),
    inference(spt,[spt(split,[position(s1)])],[45]),
    [iquote('1:Spt:45.0')] ).

cnf(209,plain,
    ( ~ aSet0(slbdtrb0(u))
    | ~ aElementOf0(u,szNzAzT0)
    | aElement0(u) ),
    inference(spr,[status(thm),theory(equality)],[64,33]),
    [iquote('0:SpR:64.1,33.1')] ).

cnf(224,plain,
    ( ~ aSet0(xS)
    | aElement0(xx) ),
    inference(res,[status(thm),theory(equality)],[13,57]),
    [iquote('0:Res:13.0,57.1')] ).

cnf(230,plain,
    ( ~ aSet0(slbdtsldtrb0(xS,xk))
    | aElement0(xQ) ),
    inference(res,[status(thm),theory(equality)],[29,57]),
    [iquote('0:Res:29.0,57.1')] ).

cnf(232,plain,
    aElement0(xx),
    inference(ssi,[status(thm)],[224,4]),
    [iquote('0:SSi:224.0,4.0')] ).

cnf(235,plain,
    aElement0(xQ),
    inference(ssi,[status(thm)],[230,20]),
    [iquote('0:SSi:230.0,20.0')] ).

cnf(287,plain,
    ( ~ aSet0(slbdtsldtrb0(xT,xk))
    | equal(slbdtsldtrb0(xT,xk),slcrc0)
    | aSet0(skf14(slbdtsldtrb0(xT,xk))) ),
    inference(res,[status(thm),theory(equality)],[69,52]),
    [iquote('0:Res:69.2,52.0')] ).

cnf(303,plain,
    ( equal(slbdtsldtrb0(xT,xk),slcrc0)
    | aSet0(skf14(slbdtsldtrb0(xT,xk))) ),
    inference(ssi,[status(thm)],[287,21]),
    [iquote('0:SSi:287.0,21.0')] ).

cnf(321,plain,
    ( ~ aElementOf0(u,slbdtsldtrb0(xS,xk))
    | ~ equal(slbdtsldtrb0(xT,xk),slcrc0) ),
    inference(res,[status(thm),theory(equality)],[83,46]),
    [iquote('0:Res:83.1,46.0')] ).

cnf(487,plain,
    ( ~ aElementOf0(u,szNzAzT0)
    | aSet0(slbdtrb0(u)) ),
    inference(eqr,[status(thm),theory(equality)],[82]),
    [iquote('0:EqR:82.1')] ).

cnf(489,plain,
    ( ~ aElementOf0(u,szNzAzT0)
    | aElement0(u) ),
    inference(mrr,[status(thm)],[209,487]),
    [iquote('0:MRR:209.0,487.1')] ).

cnf(765,plain,
    ( ~ aElement0(u)
    | ~ aSet0(v)
    | aSet0(sdtmndt0(v,u)) ),
    inference(eqr,[status(thm),theory(equality)],[98]),
    [iquote('0:EqR:98.2')] ).

cnf(854,plain,
    ( ~ aSet0(u)
    | ~ aSet0(szNzAzT0)
    | aSubsetOf0(szNzAzT0,u)
    | aElement0(skf15(szNzAzT0,v)) ),
    inference(res,[status(thm),theory(equality)],[96,489]),
    [iquote('0:Res:96.3,489.0')] ).

cnf(883,plain,
    ( ~ aSet0(u)
    | aSubsetOf0(szNzAzT0,u)
    | aElement0(skf15(szNzAzT0,v)) ),
    inference(ssi,[status(thm)],[854,3,2]),
    [iquote('0:SSi:854.1,3.0,2.0')] ).

cnf(1081,plain,
    ( ~ aSet0(u)
    | ~ aSubsetOf0(szNzAzT0,u)
    | aElementOf0(xk,u) ),
    inference(res,[status(thm),theory(equality)],[12,95]),
    [iquote('0:Res:12.0,95.1')] ).

cnf(2123,plain,
    ( ~ isFinite0(sdtmndt0(xQ,xy))
    | ~ aSet0(sdtmndt0(xQ,xy))
    | ~ aElement0(xx)
    | isFinite0(xP) ),
    inference(spr,[status(thm),theory(equality)],[44,91]),
    [iquote('0:SpR:44.0,91.3')] ).

cnf(2130,plain,
    isFinite0(xP),
    inference(ssi,[status(thm)],[2123,232,765,8,7,235,9,92]),
    [iquote('0:SSi:2123.2,2123.1,2123.0,232.0,765.0,8.0,7.0,235.3,9.0,92.0,8.0,7.0,235.2,9.0,765.0,8.0,7.0,235.3,9.0,92.0,8.0,7.0,235.2,9.0')] ).

cnf(2218,plain,
    ( ~ aElementOf0(u,xP)
    | equal(u,xx)
    | aElementOf0(u,xQ) ),
    inference(res,[status(thm),theory(equality)],[87,68]),
    [iquote('0:Res:87.2,68.0')] ).

cnf(2386,plain,
    ( ~ aElement0(xx)
    | ~ isFinite0(sdtmndt0(xQ,xy))
    | ~ aSet0(sdtmndt0(xQ,xy))
    | aElementOf0(xx,sdtmndt0(xQ,xy))
    | equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))),sbrdtbr0(xP)) ),
    inference(spr,[status(thm),theory(equality)],[44,137]),
    [iquote('0:SpR:44.0,137.4')] ).

cnf(2398,plain,
    ( aElementOf0(xx,sdtmndt0(xQ,xy))
    | equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))),sbrdtbr0(xP)) ),
    inference(ssi,[status(thm)],[2386,765,8,7,235,9,92,232]),
    [iquote('0:SSi:2386.2,2386.1,2386.0,765.0,8.0,7.0,235.0,9.0,92.3,8.0,7.0,235.0,9.0,765.2,8.0,7.0,235.0,9.0,92.3,8.0,7.0,235.0,9.0,232.2')] ).

cnf(2399,plain,
    equal(szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))),sbrdtbr0(xP)),
    inference(mrr,[status(thm)],[2398,36]),
    [iquote('0:MRR:2398.0,36.0')] ).

cnf(2425,plain,
    ( ~ isFinite0(xQ)
    | ~ aSet0(xQ)
    | ~ aElementOf0(xy,xQ)
    | equal(sbrdtbr0(xP),sbrdtbr0(xQ)) ),
    inference(spr,[status(thm),theory(equality)],[2399,126]),
    [iquote('0:SpR:2399.0,126.3')] ).

cnf(2442,plain,
    ( ~ isFinite0(xQ)
    | ~ aSet0(xQ)
    | ~ aElementOf0(xy,xQ)
    | equal(sbrdtbr0(xP),xk) ),
    inference(rew,[status(thm),theory(equality)],[23,2425]),
    [iquote('0:Rew:23.0,2425.3')] ).

cnf(2443,plain,
    ( ~ aElementOf0(xy,xQ)
    | equal(sbrdtbr0(xP),xk) ),
    inference(ssi,[status(thm)],[2442,8,7,235]),
    [iquote('0:SSi:2442.1,2442.0,8.0,7.0,235.0,8.0,7.0,235.0')] ).

cnf(2444,plain,
    $false,
    inference(mrr,[status(thm)],[2443,15,182]),
    [iquote('1:MRR:2443.0,2443.1,15.0,182.0')] ).

cnf(2447,plain,
    equal(sbrdtbr0(xP),xk),
    inference(spt,[spt(split,[position(sa)])],[2444,182]),
    [iquote('1:Spt:2444.0,45.0,182.0')] ).

cnf(2448,plain,
    aElementOf0(skc2,xP),
    inference(spt,[spt(split,[position(s2)])],[45]),
    [iquote('1:Spt:2444.0,45.1')] ).

cnf(2471,plain,
    ( ~ aSubsetOf0(xP,xS)
    | ~ equal(xk,xk) ),
    inference(rew,[status(thm),theory(equality)],[2447,56]),
    [iquote('1:Rew:2447.0,56.1')] ).

cnf(2472,plain,
    ~ aSubsetOf0(xP,xS),
    inference(obv,[status(thm),theory(equality)],[2471]),
    [iquote('1:Obv:2471.1')] ).

cnf(2473,plain,
    ( ~ aElementOf0(skc2,xS)
    | ~ equal(xk,xk) ),
    inference(rew,[status(thm),theory(equality)],[2447,55]),
    [iquote('1:Rew:2447.0,55.1')] ).

cnf(2474,plain,
    ~ aElementOf0(skc2,xS),
    inference(obv,[status(thm),theory(equality)],[2473]),
    [iquote('1:Obv:2473.1')] ).

cnf(2498,plain,
    ( ~ aSet0(xP)
    | ~ equal(xk,xk)
    | aElementOf0(xP,slbdtsldtrb0(xS,xk))
    | aElementOf0(skf25(xP),xP) ),
    inference(spl,[status(thm),theory(equality)],[2447,123]),
    [iquote('1:SpL:2447.0,123.1')] ).

cnf(2506,plain,
    ( ~ aSet0(xP)
    | aElementOf0(xP,slbdtsldtrb0(xS,xk))
    | aElementOf0(skf25(xP),xP) ),
    inference(obv,[status(thm),theory(equality)],[2498]),
    [iquote('1:Obv:2498.1')] ).

cnf(2507,plain,
    ( aElementOf0(xP,slbdtsldtrb0(xS,xk))
    | aElementOf0(skf25(xP),xP) ),
    inference(ssi,[status(thm)],[2506,10,2130]),
    [iquote('1:SSi:2506.0,10.0,2130.0')] ).

cnf(2652,plain,
    aElementOf0(xP,slbdtsldtrb0(xS,xk)),
    inference(spt,[spt(split,[position(s2s1)])],[2507]),
    [iquote('2:Spt:2507.0')] ).

cnf(2658,plain,
    aSubsetOf0(xP,xS),
    inference(res,[status(thm),theory(equality)],[2652,65]),
    [iquote('2:Res:2652.0,65.0')] ).

cnf(2663,plain,
    $false,
    inference(mrr,[status(thm)],[2658,2472]),
    [iquote('2:MRR:2658.0,2472.0')] ).

cnf(2664,plain,
    ~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
    inference(spt,[spt(split,[position(s2sa)])],[2663,2652]),
    [iquote('2:Spt:2663.0,2507.0,2652.0')] ).

cnf(2665,plain,
    aElementOf0(skf25(xP),xP),
    inference(spt,[spt(split,[position(s2s2)])],[2507]),
    [iquote('2:Spt:2663.0,2507.1')] ).

cnf(2725,plain,
    equal(slbdtsldtrb0(xT,xk),slcrc0),
    inference(spt,[spt(split,[position(s2s2s1)])],[303]),
    [iquote('3:Spt:303.0')] ).

cnf(2789,plain,
    ( ~ aElementOf0(u,slbdtsldtrb0(xS,xk))
    | ~ equal(slcrc0,slcrc0) ),
    inference(rew,[status(thm),theory(equality)],[2725,321]),
    [iquote('3:Rew:2725.0,321.1')] ).

cnf(2807,plain,
    ~ aElementOf0(u,slbdtsldtrb0(xS,xk)),
    inference(obv,[status(thm),theory(equality)],[2789]),
    [iquote('3:Obv:2789.1')] ).

cnf(2808,plain,
    $false,
    inference(unc,[status(thm)],[2807,28]),
    [iquote('3:UnC:2807.0,28.0')] ).

cnf(2829,plain,
    ~ equal(slbdtsldtrb0(xT,xk),slcrc0),
    inference(spt,[spt(split,[position(s2s2sa)])],[2808,2725]),
    [iquote('3:Spt:2808.0,303.0,2725.0')] ).

cnf(2830,plain,
    aSet0(skf14(slbdtsldtrb0(xT,xk))),
    inference(spt,[spt(split,[position(s2s2s2)])],[303]),
    [iquote('3:Spt:2808.0,303.1')] ).

cnf(3595,plain,
    ( ~ aSet0(u)
    | aSubsetOf0(szNzAzT0,u) ),
    inference(spt,[spt(split,[position(s2s2s2s1)])],[883]),
    [iquote('4:Spt:883.0,883.1')] ).

cnf(3596,plain,
    ( ~ aSet0(u)
    | aElementOf0(xk,u) ),
    inference(mrr,[status(thm)],[1081,3595]),
    [iquote('4:MRR:1081.1,3595.1')] ).

cnf(3673,plain,
    ( ~ aSet0(u)
    | ~ equal(u,slcrc0) ),
    inference(res,[status(thm),theory(equality)],[3596,46]),
    [iquote('4:Res:3596.1,46.0')] ).

cnf(3692,plain,
    ~ equal(u,slcrc0),
    inference(mrr,[status(thm)],[3673,30]),
    [iquote('4:MRR:3673.0,30.1')] ).

cnf(3693,plain,
    $false,
    inference(unc,[status(thm)],[3692,17]),
    [iquote('4:UnC:3692.0,17.0')] ).

cnf(3704,plain,
    aElement0(skf15(szNzAzT0,u)),
    inference(spt,[spt(split,[position(s2s2s2s2)])],[883]),
    [iquote('4:Spt:3693.0,883.2')] ).

cnf(3717,plain,
    ( equal(skc2,xx)
    | aElementOf0(skc2,xQ) ),
    inference(res,[status(thm),theory(equality)],[2448,2218]),
    [iquote('1:Res:2448.0,2218.0')] ).

cnf(3725,plain,
    equal(skc2,xx),
    inference(spt,[spt(split,[position(s2s2s2s2s1)])],[3717]),
    [iquote('5:Spt:3717.0')] ).

cnf(3728,plain,
    ~ aElementOf0(xx,xS),
    inference(rew,[status(thm),theory(equality)],[3725,2474]),
    [iquote('5:Rew:3725.0,2474.0')] ).

cnf(3730,plain,
    $false,
    inference(mrr,[status(thm)],[3728,13]),
    [iquote('5:MRR:3728.0,13.0')] ).

cnf(3731,plain,
    ~ equal(skc2,xx),
    inference(spt,[spt(split,[position(s2s2s2s2sa)])],[3730,3725]),
    [iquote('5:Spt:3730.0,3717.0,3725.0')] ).

cnf(3732,plain,
    aElementOf0(skc2,xQ),
    inference(spt,[spt(split,[position(s2s2s2s2s2)])],[3717]),
    [iquote('5:Spt:3730.0,3717.1')] ).

cnf(3734,plain,
    aElementOf0(skc2,xS),
    inference(res,[status(thm),theory(equality)],[3732,43]),
    [iquote('5:Res:3732.0,43.0')] ).

cnf(3738,plain,
    $false,
    inference(mrr,[status(thm)],[3734,2474]),
    [iquote('5:MRR:3734.0,2474.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUM556+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n027.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 : Tue Jul  5 20:12:57 EDT 2022
% 0.18/0.34  % CPUTime  : 
% 0.90/1.12  
% 0.90/1.12  SPASS V 3.9 
% 0.90/1.12  SPASS beiseite: Proof found.
% 0.90/1.12  % SZS status Theorem
% 0.90/1.12  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.90/1.12  SPASS derived 2588 clauses, backtracked 273 clauses, performed 26 splits and kept 1678 clauses.
% 0.90/1.12  SPASS allocated 100713 KBytes.
% 0.90/1.12  SPASS spent	0:00:00.76 on the problem.
% 0.90/1.12  		0:00:00.04 for the input.
% 0.90/1.12  		0:00:00.17 for the FLOTTER CNF translation.
% 0.90/1.12  		0:00:00.04 for inferences.
% 0.90/1.12  		0:00:00.01 for the backtracking.
% 0.90/1.12  		0:00:00.46 for the reduction.
% 0.90/1.12  
% 0.90/1.12  
% 0.90/1.12  Here is a proof with depth 4, length 101 :
% 0.90/1.12  % SZS output start Refutation
% See solution above
% 0.90/1.12  Formulae used in the proof : mNATSet m__2202_02 m__2291 m__2304 m__2357 m__2202 m__2256 mSegZero m__2227 m__2270 mDefEmp mCardS m__2411 m__ mEOfElem mCardSeg mDefSeg mFConsSet mFDiffSet mDefSub mDefDiff mCardDiff mCardCons
% 0.90/1.12  
%------------------------------------------------------------------------------