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SPASS---3.9.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : LAT303+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n026.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 : Sun Jul 17 06:50:26 EDT 2022

% Result   : Theorem 0.52s 0.69s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   35
% Syntax   : Number of clauses     :   94 (  35 unt;  46 nHn;  94 RR)
%            Number of literals    :  244 (   0 equ; 109 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   23 (  22 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    v10_lattices(skc18),
    file('LAT303+1.p',unknown),
    [] ).

cnf(2,axiom,
    l3_lattices(skc18),
    file('LAT303+1.p',unknown),
    [] ).

cnf(44,axiom,
    ~ v3_struct_0(skc18),
    file('LAT303+1.p',unknown),
    [] ).

cnf(45,axiom,
    ~ v13_lattices(skc18),
    file('LAT303+1.p',unknown),
    [] ).

cnf(58,axiom,
    m1_subset_1(skc19,u1_struct_0(skc18)),
    file('LAT303+1.p',unknown),
    [] ).

cnf(67,axiom,
    ( ~ l2_lattices(u)
    | l1_struct_0(u) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(68,axiom,
    ( ~ l3_lattices(u)
    | l1_lattices(u) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(69,axiom,
    ( ~ l3_lattices(u)
    | l2_lattices(u) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(72,axiom,
    m2_filter_2(k6_domain_1(u1_struct_0(skc18),skc19),skc18),
    file('LAT303+1.p',unknown),
    [] ).

cnf(73,axiom,
    ( ~ l3_lattices(u)
    | v3_lattices(k1_lattice2(u)) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(74,axiom,
    ( ~ l3_lattices(u)
    | l3_lattices(k1_lattice2(u)) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(83,axiom,
    ( ~ v1_xboole_0(u)
    | ~ r2_hidden(v,u) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(89,axiom,
    ( ~ l3_lattices(u)
    | ~ v3_struct_0(k1_lattice2(u))
    | v3_struct_0(u) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(90,axiom,
    ( ~ l1_struct_0(u)
    | ~ v1_xboole_0(u1_struct_0(u))
    | v3_struct_0(u) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(95,axiom,
    ( ~ m1_subset_1(u,v)
    | v1_xboole_0(v)
    | r2_hidden(u,v) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(97,axiom,
    ( ~ v10_lattices(u)
    | ~ l3_lattices(u)
    | v3_struct_0(u)
    | v4_lattices(u) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(98,axiom,
    ( ~ v10_lattices(u)
    | ~ l3_lattices(u)
    | v3_struct_0(u)
    | v5_lattices(u) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(99,axiom,
    ( ~ v10_lattices(u)
    | ~ l3_lattices(u)
    | v3_struct_0(u)
    | v6_lattices(u) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(100,axiom,
    ( ~ v10_lattices(u)
    | ~ l3_lattices(u)
    | v3_struct_0(u)
    | v7_lattices(u) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(101,axiom,
    ( ~ v10_lattices(u)
    | ~ l3_lattices(u)
    | v3_struct_0(u)
    | v8_lattices(u) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(102,axiom,
    ( ~ v10_lattices(u)
    | ~ l3_lattices(u)
    | v3_struct_0(u)
    | v9_lattices(u) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(116,axiom,
    ( ~ l3_lattices(u)
    | ~ v10_lattices(u)
    | v3_struct_0(u)
    | v4_lattices(k1_lattice2(u)) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(117,axiom,
    ( ~ l3_lattices(u)
    | ~ v10_lattices(u)
    | v3_struct_0(u)
    | v5_lattices(k1_lattice2(u)) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(118,axiom,
    ( ~ l3_lattices(u)
    | ~ v10_lattices(u)
    | v3_struct_0(u)
    | v6_lattices(k1_lattice2(u)) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(119,axiom,
    ( ~ l3_lattices(u)
    | ~ v10_lattices(u)
    | v3_struct_0(u)
    | v7_lattices(k1_lattice2(u)) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(120,axiom,
    ( ~ l3_lattices(u)
    | ~ v10_lattices(u)
    | v3_struct_0(u)
    | v8_lattices(k1_lattice2(u)) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(121,axiom,
    ( ~ l3_lattices(u)
    | ~ v10_lattices(u)
    | v3_struct_0(u)
    | v9_lattices(k1_lattice2(u)) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(122,axiom,
    ( ~ l3_lattices(u)
    | ~ v10_lattices(u)
    | v3_struct_0(u)
    | v10_lattices(k1_lattice2(u)) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(130,axiom,
    ( ~ m1_subset_1(u,v)
    | v1_xboole_0(v)
    | equal(k6_domain_1(v,u),k1_tarski(u)) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(144,axiom,
    ( ~ l3_lattices(u)
    | ~ v10_lattices(u)
    | ~ v14_lattices(k1_lattice2(u))
    | v3_struct_0(u)
    | v13_lattices(u) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(151,axiom,
    ( ~ l3_lattices(u)
    | ~ v10_lattices(u)
    | ~ m1_filter_2(v,u)
    | v3_struct_0(u)
    | m1_filter_0(v,u) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(153,axiom,
    ( ~ l3_lattices(u)
    | ~ v10_lattices(u)
    | ~ m2_filter_2(v,u)
    | v3_struct_0(u)
    | m1_filter_2(v,k1_lattice2(u)) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(157,axiom,
    ( ~ l3_lattices(u)
    | ~ v10_lattices(u)
    | ~ m1_subset_1(v,u1_struct_0(u))
    | v3_struct_0(u)
    | equal(k5_filter_2(u,v),v) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(166,axiom,
    ( ~ l3_lattices(u)
    | ~ v10_lattices(u)
    | ~ m1_subset_1(v,u1_struct_0(u))
    | m1_subset_1(k5_filter_2(u,v),u1_struct_0(k1_lattice2(u)))
    | v3_struct_0(u) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(167,axiom,
    ( ~ l3_lattices(u)
    | ~ v10_lattices(u)
    | ~ m1_subset_1(v,u1_struct_0(u))
    | ~ m1_filter_0(k6_domain_1(u1_struct_0(u),v),u)
    | v14_lattices(u)
    | v3_struct_0(u) ),
    file('LAT303+1.p',unknown),
    [] ).

cnf(178,plain,
    ( ~ v10_lattices(u)
    | ~ l3_lattices(u)
    | ~ m1_subset_1(v,u1_struct_0(u))
    | v3_struct_0(u)
    | m1_subset_1(v,u1_struct_0(k1_lattice2(u))) ),
    inference(rew,[status(thm),theory(equality)],[157,166]),
    [iquote('0:Rew:157.4,166.3')] ).

cnf(193,plain,
    ( ~ v10_lattices(skc18)
    | ~ v14_lattices(k1_lattice2(skc18))
    | v13_lattices(skc18)
    | v3_struct_0(skc18) ),
    inference(res,[status(thm),theory(equality)],[2,144]),
    [iquote('0:Res:2.0,144.1')] ).

cnf(201,plain,
    ( ~ v10_lattices(skc18)
    | v4_lattices(k1_lattice2(skc18))
    | v3_struct_0(skc18) ),
    inference(res,[status(thm),theory(equality)],[2,116]),
    [iquote('0:Res:2.0,116.1')] ).

cnf(202,plain,
    ( ~ v10_lattices(skc18)
    | v5_lattices(k1_lattice2(skc18))
    | v3_struct_0(skc18) ),
    inference(res,[status(thm),theory(equality)],[2,117]),
    [iquote('0:Res:2.0,117.1')] ).

cnf(203,plain,
    ( ~ v10_lattices(skc18)
    | v6_lattices(k1_lattice2(skc18))
    | v3_struct_0(skc18) ),
    inference(res,[status(thm),theory(equality)],[2,118]),
    [iquote('0:Res:2.0,118.1')] ).

cnf(204,plain,
    ( ~ v10_lattices(skc18)
    | v7_lattices(k1_lattice2(skc18))
    | v3_struct_0(skc18) ),
    inference(res,[status(thm),theory(equality)],[2,119]),
    [iquote('0:Res:2.0,119.1')] ).

cnf(205,plain,
    ( ~ v10_lattices(skc18)
    | v8_lattices(k1_lattice2(skc18))
    | v3_struct_0(skc18) ),
    inference(res,[status(thm),theory(equality)],[2,120]),
    [iquote('0:Res:2.0,120.1')] ).

cnf(206,plain,
    ( ~ v10_lattices(skc18)
    | v9_lattices(k1_lattice2(skc18))
    | v3_struct_0(skc18) ),
    inference(res,[status(thm),theory(equality)],[2,121]),
    [iquote('0:Res:2.0,121.1')] ).

cnf(207,plain,
    ( ~ v10_lattices(skc18)
    | v10_lattices(k1_lattice2(skc18))
    | v3_struct_0(skc18) ),
    inference(res,[status(thm),theory(equality)],[2,122]),
    [iquote('0:Res:2.0,122.1')] ).

cnf(208,plain,
    ( ~ v10_lattices(skc18)
    | v4_lattices(skc18)
    | v3_struct_0(skc18) ),
    inference(res,[status(thm),theory(equality)],[2,97]),
    [iquote('0:Res:2.0,97.0')] ).

cnf(209,plain,
    ( ~ v10_lattices(skc18)
    | v5_lattices(skc18)
    | v3_struct_0(skc18) ),
    inference(res,[status(thm),theory(equality)],[2,98]),
    [iquote('0:Res:2.0,98.0')] ).

cnf(210,plain,
    ( ~ v10_lattices(skc18)
    | v6_lattices(skc18)
    | v3_struct_0(skc18) ),
    inference(res,[status(thm),theory(equality)],[2,99]),
    [iquote('0:Res:2.0,99.0')] ).

cnf(211,plain,
    ( ~ v10_lattices(skc18)
    | v7_lattices(skc18)
    | v3_struct_0(skc18) ),
    inference(res,[status(thm),theory(equality)],[2,100]),
    [iquote('0:Res:2.0,100.0')] ).

cnf(212,plain,
    ( ~ v10_lattices(skc18)
    | v8_lattices(skc18)
    | v3_struct_0(skc18) ),
    inference(res,[status(thm),theory(equality)],[2,101]),
    [iquote('0:Res:2.0,101.0')] ).

cnf(213,plain,
    ( ~ v10_lattices(skc18)
    | v9_lattices(skc18)
    | v3_struct_0(skc18) ),
    inference(res,[status(thm),theory(equality)],[2,102]),
    [iquote('0:Res:2.0,102.0')] ).

cnf(216,plain,
    ( ~ v3_struct_0(k1_lattice2(skc18))
    | v3_struct_0(skc18) ),
    inference(res,[status(thm),theory(equality)],[2,89]),
    [iquote('0:Res:2.0,89.0')] ).

cnf(217,plain,
    v3_lattices(k1_lattice2(skc18)),
    inference(res,[status(thm),theory(equality)],[2,73]),
    [iquote('0:Res:2.0,73.0')] ).

cnf(218,plain,
    l3_lattices(k1_lattice2(skc18)),
    inference(res,[status(thm),theory(equality)],[2,74]),
    [iquote('0:Res:2.0,74.0')] ).

cnf(219,plain,
    l1_lattices(skc18),
    inference(res,[status(thm),theory(equality)],[2,68]),
    [iquote('0:Res:2.0,68.0')] ).

cnf(220,plain,
    l2_lattices(skc18),
    inference(res,[status(thm),theory(equality)],[2,69]),
    [iquote('0:Res:2.0,69.0')] ).

cnf(308,plain,
    ( ~ l1_struct_0(skc18)
    | ~ v1_xboole_0(u1_struct_0(skc18)) ),
    inference(res,[status(thm),theory(equality)],[90,44]),
    [iquote('0:Res:90.2,44.0')] ).

cnf(314,plain,
    ( ~ l3_lattices(skc18)
    | ~ v10_lattices(skc18)
    | m1_subset_1(skc19,u1_struct_0(k1_lattice2(skc18)))
    | v3_struct_0(skc18) ),
    inference(res,[status(thm),theory(equality)],[58,178]),
    [iquote('0:Res:58.0,178.2')] ).

cnf(318,plain,
    ( v1_xboole_0(u1_struct_0(skc18))
    | r2_hidden(skc19,u1_struct_0(skc18)) ),
    inference(res,[status(thm),theory(equality)],[58,95]),
    [iquote('0:Res:58.0,95.0')] ).

cnf(319,plain,
    ( ~ v10_lattices(skc18)
    | ~ l3_lattices(skc18)
    | m1_filter_2(k6_domain_1(u1_struct_0(skc18),skc19),k1_lattice2(skc18))
    | v3_struct_0(skc18) ),
    inference(res,[status(thm),theory(equality)],[72,153]),
    [iquote('0:Res:72.0,153.2')] ).

cnf(322,plain,
    ~ v3_struct_0(k1_lattice2(skc18)),
    inference(mrr,[status(thm)],[216,44]),
    [iquote('0:MRR:216.1,44.0')] ).

cnf(323,plain,
    v4_lattices(skc18),
    inference(mrr,[status(thm)],[208,1,44]),
    [iquote('0:MRR:208.0,208.2,1.0,44.0')] ).

cnf(324,plain,
    v5_lattices(skc18),
    inference(mrr,[status(thm)],[209,1,44]),
    [iquote('0:MRR:209.0,209.2,1.0,44.0')] ).

cnf(325,plain,
    v6_lattices(skc18),
    inference(mrr,[status(thm)],[210,1,44]),
    [iquote('0:MRR:210.0,210.2,1.0,44.0')] ).

cnf(326,plain,
    v7_lattices(skc18),
    inference(mrr,[status(thm)],[211,1,44]),
    [iquote('0:MRR:211.0,211.2,1.0,44.0')] ).

cnf(327,plain,
    v8_lattices(skc18),
    inference(mrr,[status(thm)],[212,1,44]),
    [iquote('0:MRR:212.0,212.2,1.0,44.0')] ).

cnf(328,plain,
    v9_lattices(skc18),
    inference(mrr,[status(thm)],[213,1,44]),
    [iquote('0:MRR:213.0,213.2,1.0,44.0')] ).

cnf(330,plain,
    v4_lattices(k1_lattice2(skc18)),
    inference(mrr,[status(thm)],[201,1,44]),
    [iquote('0:MRR:201.0,201.2,1.0,44.0')] ).

cnf(331,plain,
    v5_lattices(k1_lattice2(skc18)),
    inference(mrr,[status(thm)],[202,1,44]),
    [iquote('0:MRR:202.0,202.2,1.0,44.0')] ).

cnf(332,plain,
    v6_lattices(k1_lattice2(skc18)),
    inference(mrr,[status(thm)],[203,1,44]),
    [iquote('0:MRR:203.0,203.2,1.0,44.0')] ).

cnf(333,plain,
    v7_lattices(k1_lattice2(skc18)),
    inference(mrr,[status(thm)],[204,1,44]),
    [iquote('0:MRR:204.0,204.2,1.0,44.0')] ).

cnf(334,plain,
    v8_lattices(k1_lattice2(skc18)),
    inference(mrr,[status(thm)],[205,1,44]),
    [iquote('0:MRR:205.0,205.2,1.0,44.0')] ).

cnf(335,plain,
    v9_lattices(k1_lattice2(skc18)),
    inference(mrr,[status(thm)],[206,1,44]),
    [iquote('0:MRR:206.0,206.2,1.0,44.0')] ).

cnf(336,plain,
    v10_lattices(k1_lattice2(skc18)),
    inference(mrr,[status(thm)],[207,1,44]),
    [iquote('0:MRR:207.0,207.2,1.0,44.0')] ).

cnf(346,plain,
    ~ v14_lattices(k1_lattice2(skc18)),
    inference(mrr,[status(thm)],[193,1,45,44]),
    [iquote('0:MRR:193.0,193.2,193.3,1.0,45.0,44.0')] ).

cnf(361,plain,
    m1_subset_1(skc19,u1_struct_0(k1_lattice2(skc18))),
    inference(mrr,[status(thm)],[314,2,1,44]),
    [iquote('0:MRR:314.0,314.1,314.3,2.0,1.0,44.0')] ).

cnf(369,plain,
    m1_filter_2(k6_domain_1(u1_struct_0(skc18),skc19),k1_lattice2(skc18)),
    inference(mrr,[status(thm)],[319,1,2,44]),
    [iquote('0:MRR:319.0,319.1,319.3,1.0,2.0,44.0')] ).

cnf(399,plain,
    ( ~ l2_lattices(skc18)
    | ~ v1_xboole_0(u1_struct_0(skc18)) ),
    inference(sor,[status(thm)],[308,67]),
    [iquote('0:SoR:308.0,67.1')] ).

cnf(401,plain,
    ~ v1_xboole_0(u1_struct_0(skc18)),
    inference(ssi,[status(thm)],[399,1,2,328,327,326,325,324,323,220,219]),
    [iquote('0:SSi:399.0,1.0,2.0,328.0,327.0,326.0,325.0,324.0,323.0,220.0,219.0')] ).

cnf(402,plain,
    r2_hidden(skc19,u1_struct_0(skc18)),
    inference(mrr,[status(thm)],[318,401]),
    [iquote('0:MRR:318.0,401.0')] ).

cnf(403,plain,
    ~ v1_xboole_0(u1_struct_0(skc18)),
    inference(res,[status(thm),theory(equality)],[402,83]),
    [iquote('0:Res:402.0,83.1')] ).

cnf(478,plain,
    ( ~ m1_subset_1(skc19,u1_struct_0(skc18))
    | v1_xboole_0(u1_struct_0(skc18))
    | m1_filter_2(k1_tarski(skc19),k1_lattice2(skc18)) ),
    inference(spr,[status(thm),theory(equality)],[130,369]),
    [iquote('0:SpR:130.2,369.0')] ).

cnf(483,plain,
    m1_filter_2(k1_tarski(skc19),k1_lattice2(skc18)),
    inference(mrr,[status(thm)],[478,58,403]),
    [iquote('0:MRR:478.0,478.1,58.0,403.0')] ).

cnf(856,plain,
    ( ~ l3_lattices(k1_lattice2(skc18))
    | ~ v10_lattices(k1_lattice2(skc18))
    | v3_struct_0(k1_lattice2(skc18))
    | m1_filter_0(k1_tarski(skc19),k1_lattice2(skc18)) ),
    inference(res,[status(thm),theory(equality)],[483,151]),
    [iquote('0:Res:483.0,151.2')] ).

cnf(858,plain,
    ( v3_struct_0(k1_lattice2(skc18))
    | m1_filter_0(k1_tarski(skc19),k1_lattice2(skc18)) ),
    inference(ssi,[status(thm)],[856,335,334,217,333,332,331,330,336,218]),
    [iquote('0:SSi:856.1,856.0,335.0,334.0,217.0,333.0,332.0,331.0,330.0,336.0,218.0,335.0,334.0,217.0,333.0,332.0,331.0,330.0,336.0,218.0')] ).

cnf(859,plain,
    m1_filter_0(k1_tarski(skc19),k1_lattice2(skc18)),
    inference(mrr,[status(thm)],[858,322]),
    [iquote('0:MRR:858.0,322.0')] ).

cnf(1114,plain,
    ( ~ l3_lattices(u)
    | ~ v10_lattices(u)
    | ~ m1_subset_1(v,u1_struct_0(u))
    | ~ m1_subset_1(v,u1_struct_0(u))
    | ~ m1_filter_0(k1_tarski(v),u)
    | v1_xboole_0(u1_struct_0(u))
    | v14_lattices(u)
    | v3_struct_0(u) ),
    inference(spl,[status(thm),theory(equality)],[130,167]),
    [iquote('0:SpL:130.2,167.3')] ).

cnf(1118,plain,
    ( ~ l3_lattices(u)
    | ~ v10_lattices(u)
    | ~ m1_subset_1(v,u1_struct_0(u))
    | ~ m1_filter_0(k1_tarski(v),u)
    | v1_xboole_0(u1_struct_0(u))
    | v14_lattices(u)
    | v3_struct_0(u) ),
    inference(obv,[status(thm),theory(equality)],[1114]),
    [iquote('0:Obv:1114.2')] ).

cnf(1987,plain,
    ( ~ l3_lattices(k1_lattice2(skc18))
    | ~ v10_lattices(k1_lattice2(skc18))
    | ~ m1_subset_1(skc19,u1_struct_0(k1_lattice2(skc18)))
    | v1_xboole_0(u1_struct_0(k1_lattice2(skc18)))
    | v14_lattices(k1_lattice2(skc18))
    | v3_struct_0(k1_lattice2(skc18)) ),
    inference(res,[status(thm),theory(equality)],[859,1118]),
    [iquote('0:Res:859.0,1118.3')] ).

cnf(1992,plain,
    ( ~ m1_subset_1(skc19,u1_struct_0(k1_lattice2(skc18)))
    | v1_xboole_0(u1_struct_0(k1_lattice2(skc18)))
    | v14_lattices(k1_lattice2(skc18))
    | v3_struct_0(k1_lattice2(skc18)) ),
    inference(ssi,[status(thm)],[1987,335,334,217,333,332,331,330,336,218]),
    [iquote('0:SSi:1987.1,1987.0,335.0,334.0,217.0,333.0,332.0,331.0,330.0,336.0,218.0,335.0,334.0,217.0,333.0,332.0,331.0,330.0,336.0,218.0')] ).

cnf(1993,plain,
    ( ~ m1_subset_1(skc19,u1_struct_0(k1_lattice2(skc18)))
    | v1_xboole_0(u1_struct_0(k1_lattice2(skc18))) ),
    inference(mrr,[status(thm)],[1992,346,322]),
    [iquote('0:MRR:1992.2,1992.3,346.0,322.0')] ).

cnf(1994,plain,
    v1_xboole_0(u1_struct_0(k1_lattice2(skc18))),
    inference(mrr,[status(thm)],[1993,361]),
    [iquote('0:MRR:1993.0,361.0')] ).

cnf(2001,plain,
    ( ~ l1_struct_0(k1_lattice2(skc18))
    | v3_struct_0(k1_lattice2(skc18)) ),
    inference(res,[status(thm),theory(equality)],[1994,90]),
    [iquote('0:Res:1994.0,90.1')] ).

cnf(2009,plain,
    v3_struct_0(k1_lattice2(skc18)),
    inference(ssi,[status(thm)],[2001,69,67,335,334,217,333,332,331,330,336,218]),
    [iquote('0:SSi:2001.0,69.0,67.0,335.0,334.0,217.0,333.0,332.0,331.0,330.0,336.1,218.1')] ).

cnf(2010,plain,
    $false,
    inference(mrr,[status(thm)],[2009,322]),
    [iquote('0:MRR:2009.0,322.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT303+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jun 29 02:35:47 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.52/0.69  
% 0.52/0.69  SPASS V 3.9 
% 0.52/0.69  SPASS beiseite: Proof found.
% 0.52/0.69  % SZS status Theorem
% 0.52/0.69  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.52/0.69  SPASS derived 1415 clauses, backtracked 111 clauses, performed 10 splits and kept 950 clauses.
% 0.52/0.69  SPASS allocated 99399 KBytes.
% 0.52/0.69  SPASS spent	0:00:00.34 on the problem.
% 0.52/0.69  		0:00:00.04 for the input.
% 0.52/0.69  		0:00:00.04 for the FLOTTER CNF translation.
% 0.52/0.69  		0:00:00.03 for inferences.
% 0.52/0.69  		0:00:00.01 for the backtracking.
% 0.52/0.69  		0:00:00.17 for the reduction.
% 0.52/0.69  
% 0.52/0.69  
% 0.52/0.69  Here is a proof with depth 5, length 94 :
% 0.52/0.69  % SZS output start Refutation
% See solution above
% 0.52/0.71  Formulae used in the proof : t27_filter_2 dt_l2_lattices dt_l3_lattices dt_k1_lattice2 t7_boole fc1_lattice2 fc1_struct_0 t2_subset cc1_lattices fc6_lattice2 redefinition_k6_domain_1 t63_lattice2 redefinition_m1_filter_2 t21_filter_2 d4_filter_2 dt_k5_filter_2 t14_filter_0
% 0.52/0.71  
%------------------------------------------------------------------------------