↑ Up

SPASS---3.9.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET857-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n015.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 : Tue Jul 19 05:29:21 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   61 (  28 unt;  20 nHn;  61 RR)
%            Number of literals    :  143 (   0 equ;  65 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   9 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ c_in(u,v,w)
    | ~ c_lessequals(v,x,tc_set(w))
    | c_in(u,x,w) ),
    file('SET857-2.p',unknown),
    [] ).

cnf(2,axiom,
    ( c_lessequals(u,v,tc_set(w))
    | c_in(c_Main_OsubsetI__1(u,v,w),u,w) ),
    file('SET857-2.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ c_in(c_Main_OsubsetI__1(u,v,w),v,w)
    | c_lessequals(u,v,tc_set(w)) ),
    file('SET857-2.p',unknown),
    [] ).

cnf(4,axiom,
    c_lessequals(u,c_Zorn_Osucc(v,u,w),tc_set(tc_set(w))),
    file('SET857-2.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ c_in(u,c_Zorn_OTFin(v,w),tc_set(tc_set(w)))
    | ~ c_in(x,c_Zorn_OTFin(v,w),tc_set(tc_set(w)))
    | c_lessequals(u,x,tc_set(tc_set(w)))
    | c_lessequals(c_Zorn_Osucc(v,x,w),u,tc_set(tc_set(w)))
    | c_in(c_Zorn_OTFin__linear__lemma1__1(v,x,w),c_Zorn_OTFin(v,w),tc_set(tc_set(w))) ),
    file('SET857-2.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ c_in(u,c_Zorn_OTFin(v,w),tc_set(tc_set(w)))
    | ~ c_in(x,c_Zorn_OTFin(v,w),tc_set(tc_set(w)))
    | c_lessequals(u,x,tc_set(tc_set(w)))
    | c_lessequals(c_Zorn_Osucc(v,x,w),u,tc_set(tc_set(w)))
    | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v,x,w),x,tc_set(tc_set(w))) ),
    file('SET857-2.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ equal(c_Zorn_OTFin__linear__lemma1__1(u,v,w),v)
    | ~ c_in(x,c_Zorn_OTFin(u,w),tc_set(tc_set(w)))
    | ~ c_in(v,c_Zorn_OTFin(u,w),tc_set(tc_set(w)))
    | c_lessequals(x,v,tc_set(tc_set(w)))
    | c_lessequals(c_Zorn_Osucc(u,v,w),x,tc_set(tc_set(w))) ),
    file('SET857-2.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ c_in(u,c_Zorn_OTFin(v,w),tc_set(tc_set(w)))
    | ~ c_in(x,c_Zorn_OTFin(v,w),tc_set(tc_set(w)))
    | ~ c_lessequals(c_Zorn_Osucc(v,c_Zorn_OTFin__linear__lemma1__1(v,x,w),w),x,tc_set(tc_set(w)))
    | c_lessequals(u,x,tc_set(tc_set(w)))
    | c_lessequals(c_Zorn_Osucc(v,x,w),u,tc_set(tc_set(w))) ),
    file('SET857-2.p',unknown),
    [] ).

cnf(9,axiom,
    c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
    file('SET857-2.p',unknown),
    [] ).

cnf(10,axiom,
    c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('SET857-2.p',unknown),
    [] ).

cnf(11,axiom,
    c_in(v_x,v_Y,tc_set(tc_set(t_a))),
    file('SET857-2.p',unknown),
    [] ).

cnf(12,axiom,
    ~ c_lessequals(v_x,v_n,tc_set(tc_set(t_a))),
    file('SET857-2.p',unknown),
    [] ).

cnf(13,axiom,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_x,tc_set(tc_set(t_a))),
    file('SET857-2.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ c_lessequals(u,v,tc_set(tc_set(t_a)))
    | ~ c_in(v,v_Y,tc_set(tc_set(t_a)))
    | ~ c_in(u,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | equal(u,v)
    | c_lessequals(c_Zorn_Osucc(v_S,u,t_a),v,tc_set(tc_set(t_a))) ),
    file('SET857-2.p',unknown),
    [] ).

cnf(15,plain,
    ( ~ c_lessequals(u,v_x,tc_set(tc_set(t_a)))
    | ~ c_in(u,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | equal(u,v_x)
    | c_lessequals(c_Zorn_Osucc(v_S,u,t_a),v_x,tc_set(tc_set(t_a))) ),
    inference(res,[status(thm),theory(equality)],[11,14]),
    [iquote('0:Res:11.0,14.2')] ).

cnf(21,plain,
    ~ c_in(c_Main_OsubsetI__1(v_x,v_n,tc_set(t_a)),v_n,tc_set(t_a)),
    inference(res,[status(thm),theory(equality)],[3,12]),
    [iquote('0:Res:3.1,12.0')] ).

cnf(22,plain,
    c_in(c_Main_OsubsetI__1(v_x,v_n,tc_set(t_a)),v_x,tc_set(t_a)),
    inference(res,[status(thm),theory(equality)],[2,12]),
    [iquote('0:Res:2.1,12.0')] ).

cnf(25,plain,
    ( ~ c_in(u,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(u,v_n,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),u,tc_set(tc_set(t_a)))
    | c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(res,[status(thm),theory(equality)],[10,5]),
    [iquote('0:Res:10.0,5.0')] ).

cnf(26,plain,
    ( ~ c_in(u,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(u,v_n,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),u,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a))) ),
    inference(res,[status(thm),theory(equality)],[10,6]),
    [iquote('0:Res:10.0,6.0')] ).

cnf(28,plain,
    ( ~ c_in(u,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_lessequals(c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,u,t_a),t_a),u,tc_set(tc_set(t_a)))
    | c_lessequals(v_n,u,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,u,t_a),v_n,tc_set(tc_set(t_a))) ),
    inference(res,[status(thm),theory(equality)],[10,8]),
    [iquote('0:Res:10.0,8.1')] ).

cnf(29,plain,
    ( ~ c_in(u,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(v_n,u,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,u,t_a),v_n,tc_set(tc_set(t_a)))
    | c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,u,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(res,[status(thm),theory(equality)],[10,5]),
    [iquote('0:Res:10.0,5.1')] ).

cnf(30,plain,
    ( ~ c_in(u,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(v_n,u,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,u,t_a),u,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,u,t_a),v_n,tc_set(tc_set(t_a))) ),
    inference(res,[status(thm),theory(equality)],[10,6]),
    [iquote('0:Res:10.0,6.1')] ).

cnf(31,plain,
    ( ~ equal(c_Zorn_OTFin__linear__lemma1__1(v_S,u,t_a),u)
    | ~ c_in(u,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(v_n,u,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,u,t_a),v_n,tc_set(tc_set(t_a))) ),
    inference(res,[status(thm),theory(equality)],[10,7]),
    [iquote('0:Res:10.0,7.1')] ).

cnf(33,plain,
    ( ~ c_in(u,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(u,v_n,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),u,tc_set(tc_set(t_a))) ),
    inference(spt,[spt(split,[position(s1)])],[26]),
    [iquote('1:Spt:26.0,26.1,26.2')] ).

cnf(34,plain,
    ( ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(v_x,v_n,tc_set(tc_set(t_a))) ),
    inference(res,[status(thm),theory(equality)],[33,13]),
    [iquote('1:Res:33.2,13.0')] ).

cnf(35,plain,
    ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(mrr,[status(thm)],[34,12]),
    [iquote('1:MRR:34.1,12.0')] ).

cnf(39,plain,
    ( ~ c_in(u,v_Y,tc_set(tc_set(t_a)))
    | c_in(u,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(res,[status(thm),theory(equality)],[9,1]),
    [iquote('0:Res:9.0,1.1')] ).

cnf(40,plain,
    ( ~ c_in(u,v,tc_set(w))
    | c_in(u,c_Zorn_Osucc(x,v,w),tc_set(w)) ),
    inference(res,[status(thm),theory(equality)],[4,1]),
    [iquote('0:Res:4.0,1.1')] ).

cnf(43,plain,
    ( ~ c_lessequals(v_n,v_x,tc_set(tc_set(t_a)))
    | ~ c_in(v_x,v_Y,tc_set(tc_set(t_a)))
    | ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | equal(v_x,v_n) ),
    inference(res,[status(thm),theory(equality)],[14,13]),
    [iquote('0:Res:14.4,13.0')] ).

cnf(45,plain,
    ( ~ c_lessequals(v_n,v_x,tc_set(tc_set(t_a)))
    | equal(v_x,v_n) ),
    inference(mrr,[status(thm)],[43,11,10]),
    [iquote('0:MRR:43.1,43.2,11.0,10.0')] ).

cnf(46,plain,
    ~ c_in(v_x,v_Y,tc_set(tc_set(t_a))),
    inference(res,[status(thm),theory(equality)],[39,35]),
    [iquote('1:Res:39.1,35.0')] ).

cnf(48,plain,
    $false,
    inference(mrr,[status(thm)],[46,11]),
    [iquote('1:MRR:46.0,11.0')] ).

cnf(49,plain,
    c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_n,tc_set(tc_set(t_a))),
    inference(spt,[spt(split,[position(s2)])],[26]),
    [iquote('1:Spt:48.0,26.3')] ).

cnf(51,plain,
    ( ~ c_in(u,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(u,v_n,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),u,tc_set(tc_set(t_a))) ),
    inference(spt,[spt(split,[position(s2s1)])],[25]),
    [iquote('2:Spt:25.0,25.1,25.2')] ).

cnf(52,plain,
    ( ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(v_x,v_n,tc_set(tc_set(t_a))) ),
    inference(res,[status(thm),theory(equality)],[51,13]),
    [iquote('2:Res:51.2,13.0')] ).

cnf(54,plain,
    ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(mrr,[status(thm)],[52,12]),
    [iquote('2:MRR:52.1,12.0')] ).

cnf(55,plain,
    ~ c_in(v_x,v_Y,tc_set(tc_set(t_a))),
    inference(res,[status(thm),theory(equality)],[39,54]),
    [iquote('2:Res:39.1,54.0')] ).

cnf(56,plain,
    $false,
    inference(mrr,[status(thm)],[55,11]),
    [iquote('2:MRR:55.0,11.0')] ).

cnf(57,plain,
    c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(spt,[spt(split,[position(s2s2)])],[25]),
    [iquote('2:Spt:56.0,25.3')] ).

cnf(94,plain,
    ( ~ c_lessequals(u,v_x,tc_set(tc_set(t_a)))
    | ~ c_in(u,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(v,c_Zorn_Osucc(v_S,u,t_a),tc_set(t_a))
    | equal(u,v_x)
    | c_in(v,v_x,tc_set(t_a)) ),
    inference(res,[status(thm),theory(equality)],[15,1]),
    [iquote('0:Res:15.3,1.1')] ).

cnf(136,plain,
    ( ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_x,tc_set(tc_set(t_a)))
    | ~ c_in(u,c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),tc_set(t_a))
    | equal(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_x)
    | c_in(u,v_x,tc_set(t_a)) ),
    inference(res,[status(thm),theory(equality)],[57,94]),
    [iquote('2:Res:57.0,94.1')] ).

cnf(146,plain,
    equal(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_x),
    inference(spt,[spt(split,[position(s2s2s1)])],[136]),
    [iquote('3:Spt:136.2')] ).

cnf(147,plain,
    c_lessequals(v_x,v_n,tc_set(tc_set(t_a))),
    inference(rew,[status(thm),theory(equality)],[146,49]),
    [iquote('3:Rew:146.0,49.0')] ).

cnf(170,plain,
    $false,
    inference(mrr,[status(thm)],[147,12]),
    [iquote('3:MRR:147.0,12.0')] ).

cnf(178,plain,
    ~ equal(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_x),
    inference(spt,[spt(split,[position(s2s2sa)])],[170,146]),
    [iquote('3:Spt:170.0,136.2,146.0')] ).

cnf(179,plain,
    ( ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),v_x,tc_set(tc_set(t_a)))
    | ~ c_in(u,c_Zorn_Osucc(v_S,c_Zorn_OTFin__linear__lemma1__1(v_S,v_n,t_a),t_a),tc_set(t_a))
    | c_in(u,v_x,tc_set(t_a)) ),
    inference(spt,[spt(split,[position(s2s2s2)])],[136]),
    [iquote('3:Spt:170.0,136.0,136.1,136.3')] ).

cnf(243,plain,
    ( ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x,tc_set(tc_set(t_a)))
    | ~ c_in(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | equal(c_Zorn_OTFin__linear__lemma1__1(v_S,v_x,t_a),v_x)
    | c_lessequals(v_n,v_x,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_n,tc_set(tc_set(t_a))) ),
    inference(res,[status(thm),theory(equality)],[15,28]),
    [iquote('0:Res:15.3,28.1')] ).

cnf(246,plain,
    ( ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | c_lessequals(v_n,v_x,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_n,tc_set(tc_set(t_a))) ),
    inference(mrr,[status(thm)],[243,30,29,31]),
    [iquote('0:MRR:243.0,243.1,243.3,30.2,29.3,31.0')] ).

cnf(251,plain,
    ( ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(u,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(t_a))
    | c_lessequals(v_n,v_x,tc_set(tc_set(t_a)))
    | c_in(u,v_n,tc_set(t_a)) ),
    inference(res,[status(thm),theory(equality)],[246,1]),
    [iquote('0:Res:246.2,1.1')] ).

cnf(274,plain,
    c_lessequals(v_n,v_x,tc_set(tc_set(t_a))),
    inference(spt,[spt(split,[position(s2s2s2s1)])],[251]),
    [iquote('4:Spt:251.2')] ).

cnf(275,plain,
    equal(v_x,v_n),
    inference(mrr,[status(thm)],[45,274]),
    [iquote('4:MRR:45.0,274.0')] ).

cnf(278,plain,
    ~ c_in(c_Main_OsubsetI__1(v_n,v_n,tc_set(t_a)),v_n,tc_set(t_a)),
    inference(rew,[status(thm),theory(equality)],[275,21]),
    [iquote('4:Rew:275.0,21.0')] ).

cnf(279,plain,
    c_in(c_Main_OsubsetI__1(v_n,v_n,tc_set(t_a)),v_n,tc_set(t_a)),
    inference(rew,[status(thm),theory(equality)],[275,22]),
    [iquote('4:Rew:275.0,22.0')] ).

cnf(306,plain,
    $false,
    inference(mrr,[status(thm)],[278,279]),
    [iquote('4:MRR:278.0,279.0')] ).

cnf(335,plain,
    ~ c_lessequals(v_n,v_x,tc_set(tc_set(t_a))),
    inference(spt,[spt(split,[position(s2s2s2sa)])],[306,274]),
    [iquote('4:Spt:306.0,251.2,274.0')] ).

cnf(336,plain,
    ( ~ c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | ~ c_in(u,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(t_a))
    | c_in(u,v_n,tc_set(t_a)) ),
    inference(spt,[spt(split,[position(s2s2s2s2)])],[251]),
    [iquote('4:Spt:306.0,251.0,251.1,251.3')] ).

cnf(338,plain,
    ( ~ c_in(v_x,v_Y,tc_set(tc_set(t_a)))
    | ~ c_in(u,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(t_a))
    | c_in(u,v_n,tc_set(t_a)) ),
    inference(res,[status(thm),theory(equality)],[39,336]),
    [iquote('4:Res:39.1,336.0')] ).

cnf(339,plain,
    ( ~ c_in(u,c_Zorn_Osucc(v_S,v_x,t_a),tc_set(t_a))
    | c_in(u,v_n,tc_set(t_a)) ),
    inference(mrr,[status(thm)],[338,11]),
    [iquote('4:MRR:338.0,11.0')] ).

cnf(344,plain,
    ( ~ c_in(u,v_x,tc_set(t_a))
    | c_in(u,v_n,tc_set(t_a)) ),
    inference(res,[status(thm),theory(equality)],[40,339]),
    [iquote('4:Res:40.1,339.0')] ).

cnf(346,plain,
    c_in(c_Main_OsubsetI__1(v_x,v_n,tc_set(t_a)),v_n,tc_set(t_a)),
    inference(res,[status(thm),theory(equality)],[22,344]),
    [iquote('4:Res:22.0,344.0')] ).

cnf(348,plain,
    $false,
    inference(mrr,[status(thm)],[346,21]),
    [iquote('4:MRR:346.0,21.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET857-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n015.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 : Sun Jul 10 19:30:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.49  
% 0.19/0.49  SPASS V 3.9 
% 0.19/0.49  SPASS beiseite: Proof found.
% 0.19/0.49  % SZS status Theorem
% 0.19/0.49  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.49  SPASS derived 241 clauses, backtracked 68 clauses, performed 4 splits and kept 244 clauses.
% 0.19/0.49  SPASS allocated 63627 KBytes.
% 0.19/0.49  SPASS spent	0:00:00.14 on the problem.
% 0.19/0.49  		0:00:00.03 for the input.
% 0.19/0.49  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.49  		0:00:00.01 for inferences.
% 0.19/0.49  		0:00:00.00 for the backtracking.
% 0.19/0.49  		0:00:00.07 for the reduction.
% 0.19/0.49  
% 0.19/0.49  
% 0.19/0.49  Here is a proof with depth 7, length 61 :
% 0.19/0.49  % SZS output start Refutation
% See solution above
% 0.19/0.49  Formulae used in the proof : cls_Set_OsubsetD_0 cls_Set_OsubsetI_0 cls_Set_OsubsetI_1 cls_Zorn_OAbrial__axiom1_0 cls_Zorn_OTFin__linear__lemma1_0 cls_Zorn_OTFin__linear__lemma1_1 cls_Zorn_OTFin__linear__lemma1_2 cls_Zorn_OTFin__linear__lemma1_3 cls_conjecture_0 cls_conjecture_1 cls_conjecture_3 cls_conjecture_4 cls_conjecture_5 cls_conjecture_6
% 0.19/0.49  
%------------------------------------------------------------------------------