TSTP Solution File: LAT356+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : LAT356+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n020.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 06:51:21 EDT 2022

% Result   : Theorem 14.37s 14.61s
% Output   : Refutation 15.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   26
% Syntax   : Number of clauses     :   67 (  27 unt;  16 nHn;  67 RR)
%            Number of literals    :  240 (   0 equ; 165 neg)
%            Maximal clause size   :   23 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   25 (  24 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-4 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    v2_orders_2(skc11),
    file('LAT356+1.p',unknown),
    [] ).

cnf(2,axiom,
    v3_orders_2(skc11),
    file('LAT356+1.p',unknown),
    [] ).

cnf(3,axiom,
    v4_orders_2(skc11),
    file('LAT356+1.p',unknown),
    [] ).

cnf(4,axiom,
    v1_lattice3(skc11),
    file('LAT356+1.p',unknown),
    [] ).

cnf(5,axiom,
    v2_lattice3(skc11),
    file('LAT356+1.p',unknown),
    [] ).

cnf(6,axiom,
    v3_lattice3(skc11),
    file('LAT356+1.p',unknown),
    [] ).

cnf(7,axiom,
    l1_orders_2(skc11),
    file('LAT356+1.p',unknown),
    [] ).

cnf(63,axiom,
    ( ~ l1_orders_2(u)
    | l1_struct_0(u) ),
    file('LAT356+1.p',unknown),
    [] ).

cnf(83,axiom,
    ( ~ l1_orders_2(u)
    | v1_relat_1(k7_grcat_1(u)) ),
    file('LAT356+1.p',unknown),
    [] ).

cnf(84,axiom,
    ( ~ l1_orders_2(u)
    | v1_funct_1(k7_grcat_1(u)) ),
    file('LAT356+1.p',unknown),
    [] ).

cnf(106,axiom,
    ( ~ v3_yellow_0(u)
    | ~ l1_orders_2(u)
    | v1_yellow_0(u) ),
    file('LAT356+1.p',unknown),
    [] ).

cnf(107,axiom,
    ( ~ v3_yellow_0(u)
    | ~ l1_orders_2(u)
    | v2_yellow_0(u) ),
    file('LAT356+1.p',unknown),
    [] ).

cnf(112,axiom,
    ( ~ l1_orders_2(u)
    | v3_struct_0(u)
    | v2_funct_1(k7_grcat_1(u)) ),
    file('LAT356+1.p',unknown),
    [] ).

cnf(136,axiom,
    ( ~ v3_struct_0(u)
    | ~ v1_lattice3(u)
    | ~ l1_orders_2(u) ),
    file('LAT356+1.p',unknown),
    [] ).

cnf(168,axiom,
    ( ~ v3_lattice3(u)
    | ~ l1_orders_2(u)
    | v3_struct_0(u)
    | v3_yellow_0(u) ),
    file('LAT356+1.p',unknown),
    [] ).

cnf(171,axiom,
    ( ~ l1_struct_0(u)
    | m2_relset_1(k7_grcat_1(u),u1_struct_0(u),u1_struct_0(u)) ),
    file('LAT356+1.p',unknown),
    [] ).

cnf(188,axiom,
    ( ~ l1_orders_2(u)
    | v1_funct_2(k7_grcat_1(u),u1_struct_0(u),u1_struct_0(u)) ),
    file('LAT356+1.p',unknown),
    [] ).

cnf(198,axiom,
    ( ~ l1_orders_2(u)
    | ~ v2_orders_2(u)
    | v3_struct_0(u)
    | v11_quantal1(k7_grcat_1(u)) ),
    file('LAT356+1.p',unknown),
    [] ).

cnf(242,axiom,
    ( ~ v3_lattice3(u)
    | ~ v2_orders_2(u)
    | ~ l1_orders_2(u)
    | v3_struct_0(u)
    | v24_waybel_0(u) ),
    file('LAT356+1.p',unknown),
    [] ).

cnf(243,axiom,
    ( ~ v3_lattice3(u)
    | ~ v2_orders_2(u)
    | ~ l1_orders_2(u)
    | v3_struct_0(u)
    | v25_waybel_0(u) ),
    file('LAT356+1.p',unknown),
    [] ).

cnf(246,axiom,
    ( ~ l1_orders_2(u)
    | ~ v2_orders_2(u)
    | v3_struct_0(u)
    | v17_waybel_0(k7_grcat_1(u),u,u) ),
    file('LAT356+1.p',unknown),
    [] ).

cnf(247,axiom,
    ( ~ l1_orders_2(u)
    | ~ v2_orders_2(u)
    | v3_struct_0(u)
    | v18_waybel_0(k7_grcat_1(u),u,u) ),
    file('LAT356+1.p',unknown),
    [] ).

cnf(280,axiom,
    ( ~ l1_orders_2(u)
    | v3_struct_0(u)
    | v3_waybel_1(k1_waybel_1(u,u,k7_grcat_1(u),k7_grcat_1(u)),u,u) ),
    file('LAT356+1.p',unknown),
    [] ).

cnf(283,axiom,
    ( ~ equal(k2_waybel34(skc11,skc11,k7_grcat_1(skc11)),k7_grcat_1(skc11))
    | ~ equal(k1_waybel34(skc11,skc11,k7_grcat_1(skc11)),k7_grcat_1(skc11)) ),
    file('LAT356+1.p',unknown),
    [] ).

cnf(377,axiom,
    ( ~ v3_lattice3(u)
    | ~ v3_lattice3(v)
    | ~ v1_funct_1(w)
    | ~ v1_funct_1(x)
    | ~ l1_orders_2(v)
    | ~ v2_lattice3(v)
    | ~ v1_lattice3(v)
    | ~ v4_orders_2(v)
    | ~ v3_orders_2(v)
    | ~ v2_orders_2(v)
    | ~ l1_orders_2(u)
    | ~ v2_lattice3(u)
    | ~ v1_lattice3(u)
    | ~ v4_orders_2(u)
    | ~ v3_orders_2(u)
    | ~ v2_orders_2(u)
    | ~ v18_waybel_0(x,v,u)
    | ~ m2_relset_1(x,u1_struct_0(v),u1_struct_0(u))
    | ~ v1_funct_2(x,u1_struct_0(v),u1_struct_0(u))
    | ~ m2_relset_1(w,u1_struct_0(u),u1_struct_0(v))
    | ~ v1_funct_2(w,u1_struct_0(u),u1_struct_0(v))
    | ~ v3_waybel_1(k1_waybel_1(u,v,w,x),u,v)
    | equal(w,k2_waybel34(u,v,x)) ),
    file('LAT356+1.p',unknown),
    [] ).

cnf(379,axiom,
    ( ~ v3_lattice3(u)
    | ~ v3_lattice3(v)
    | ~ v1_funct_1(w)
    | ~ v1_funct_1(x)
    | ~ l1_orders_2(v)
    | ~ v2_lattice3(v)
    | ~ v1_lattice3(v)
    | ~ v4_orders_2(v)
    | ~ v3_orders_2(v)
    | ~ v2_orders_2(v)
    | ~ l1_orders_2(u)
    | ~ v2_lattice3(u)
    | ~ v1_lattice3(u)
    | ~ v4_orders_2(u)
    | ~ v3_orders_2(u)
    | ~ v2_orders_2(u)
    | ~ v17_waybel_0(x,u,v)
    | ~ m2_relset_1(x,u1_struct_0(u),u1_struct_0(v))
    | ~ v1_funct_2(x,u1_struct_0(u),u1_struct_0(v))
    | ~ m2_relset_1(w,u1_struct_0(v),u1_struct_0(u))
    | ~ v1_funct_2(w,u1_struct_0(v),u1_struct_0(u))
    | ~ v3_waybel_1(k1_waybel_1(u,v,x,w),u,v)
    | equal(w,k1_waybel34(u,v,x)) ),
    file('LAT356+1.p',unknown),
    [] ).

cnf(486,plain,
    ( v3_struct_0(skc11)
    | v3_waybel_1(k1_waybel_1(skc11,skc11,k7_grcat_1(skc11),k7_grcat_1(skc11)),skc11,skc11) ),
    inference(res,[status(thm),theory(equality)],[7,280]),
    [iquote('0:Res:7.0,280.0')] ).

cnf(488,plain,
    ( ~ v2_orders_2(skc11)
    | ~ v3_lattice3(skc11)
    | v24_waybel_0(skc11)
    | v3_struct_0(skc11) ),
    inference(res,[status(thm),theory(equality)],[7,242]),
    [iquote('0:Res:7.0,242.0')] ).

cnf(489,plain,
    ( ~ v2_orders_2(skc11)
    | ~ v3_lattice3(skc11)
    | v25_waybel_0(skc11)
    | v3_struct_0(skc11) ),
    inference(res,[status(thm),theory(equality)],[7,243]),
    [iquote('0:Res:7.0,243.0')] ).

cnf(491,plain,
    ( ~ v2_orders_2(skc11)
    | v17_waybel_0(k7_grcat_1(skc11),skc11,skc11)
    | v3_struct_0(skc11) ),
    inference(res,[status(thm),theory(equality)],[7,246]),
    [iquote('0:Res:7.0,246.1')] ).

cnf(492,plain,
    ( ~ v2_orders_2(skc11)
    | v18_waybel_0(k7_grcat_1(skc11),skc11,skc11)
    | v3_struct_0(skc11) ),
    inference(res,[status(thm),theory(equality)],[7,247]),
    [iquote('0:Res:7.0,247.1')] ).

cnf(521,plain,
    ( ~ v2_orders_2(skc11)
    | v11_quantal1(k7_grcat_1(skc11))
    | v3_struct_0(skc11) ),
    inference(res,[status(thm),theory(equality)],[7,198]),
    [iquote('0:Res:7.0,198.1')] ).

cnf(532,plain,
    ( ~ v3_lattice3(skc11)
    | v3_yellow_0(skc11)
    | v3_struct_0(skc11) ),
    inference(res,[status(thm),theory(equality)],[7,168]),
    [iquote('0:Res:7.0,168.0')] ).

cnf(533,plain,
    v1_funct_2(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11)),
    inference(res,[status(thm),theory(equality)],[7,188]),
    [iquote('0:Res:7.0,188.0')] ).

cnf(535,plain,
    ( ~ v1_lattice3(skc11)
    | ~ v3_struct_0(skc11) ),
    inference(res,[status(thm),theory(equality)],[7,136]),
    [iquote('0:Res:7.0,136.0')] ).

cnf(541,plain,
    ( ~ v3_yellow_0(skc11)
    | v1_yellow_0(skc11) ),
    inference(res,[status(thm),theory(equality)],[7,106]),
    [iquote('0:Res:7.0,106.0')] ).

cnf(542,plain,
    ( ~ v3_yellow_0(skc11)
    | v2_yellow_0(skc11) ),
    inference(res,[status(thm),theory(equality)],[7,107]),
    [iquote('0:Res:7.0,107.0')] ).

cnf(544,plain,
    ( v2_funct_1(k7_grcat_1(skc11))
    | v3_struct_0(skc11) ),
    inference(res,[status(thm),theory(equality)],[7,112]),
    [iquote('0:Res:7.0,112.0')] ).

cnf(547,plain,
    v1_relat_1(k7_grcat_1(skc11)),
    inference(res,[status(thm),theory(equality)],[7,83]),
    [iquote('0:Res:7.0,83.0')] ).

cnf(548,plain,
    v1_funct_1(k7_grcat_1(skc11)),
    inference(res,[status(thm),theory(equality)],[7,84]),
    [iquote('0:Res:7.0,84.0')] ).

cnf(549,plain,
    l1_struct_0(skc11),
    inference(res,[status(thm),theory(equality)],[7,63]),
    [iquote('0:Res:7.0,63.0')] ).

cnf(751,plain,
    ~ v3_struct_0(skc11),
    inference(mrr,[status(thm)],[535,4]),
    [iquote('0:MRR:535.0,4.0')] ).

cnf(752,plain,
    v2_funct_1(k7_grcat_1(skc11)),
    inference(mrr,[status(thm)],[544,751]),
    [iquote('0:MRR:544.1,751.0')] ).

cnf(759,plain,
    v3_yellow_0(skc11),
    inference(mrr,[status(thm)],[532,6,751]),
    [iquote('0:MRR:532.0,532.2,6.0,751.0')] ).

cnf(760,plain,
    v1_yellow_0(skc11),
    inference(mrr,[status(thm)],[541,759]),
    [iquote('0:MRR:541.0,759.0')] ).

cnf(761,plain,
    v2_yellow_0(skc11),
    inference(mrr,[status(thm)],[542,759]),
    [iquote('0:MRR:542.0,759.0')] ).

cnf(763,plain,
    v11_quantal1(k7_grcat_1(skc11)),
    inference(mrr,[status(thm)],[521,1,751]),
    [iquote('0:MRR:521.0,521.2,1.0,751.0')] ).

cnf(787,plain,
    v24_waybel_0(skc11),
    inference(mrr,[status(thm)],[488,1,6,751]),
    [iquote('0:MRR:488.0,488.1,488.3,1.0,6.0,751.0')] ).

cnf(788,plain,
    v25_waybel_0(skc11),
    inference(mrr,[status(thm)],[489,1,6,751]),
    [iquote('0:MRR:489.0,489.1,489.3,1.0,6.0,751.0')] ).

cnf(789,plain,
    v17_waybel_0(k7_grcat_1(skc11),skc11,skc11),
    inference(mrr,[status(thm)],[491,1,751]),
    [iquote('0:MRR:491.0,491.2,1.0,751.0')] ).

cnf(790,plain,
    v18_waybel_0(k7_grcat_1(skc11),skc11,skc11),
    inference(mrr,[status(thm)],[492,1,751]),
    [iquote('0:MRR:492.0,492.2,1.0,751.0')] ).

cnf(808,plain,
    v3_waybel_1(k1_waybel_1(skc11,skc11,k7_grcat_1(skc11),k7_grcat_1(skc11)),skc11,skc11),
    inference(mrr,[status(thm)],[486,751]),
    [iquote('0:MRR:486.0,751.0')] ).

cnf(6130,plain,
    ( ~ v3_lattice3(skc11)
    | ~ v3_lattice3(skc11)
    | ~ v1_funct_1(k7_grcat_1(skc11))
    | ~ v1_funct_1(k7_grcat_1(skc11))
    | ~ l1_orders_2(skc11)
    | ~ v2_lattice3(skc11)
    | ~ v1_lattice3(skc11)
    | ~ v4_orders_2(skc11)
    | ~ v3_orders_2(skc11)
    | ~ v2_orders_2(skc11)
    | ~ l1_orders_2(skc11)
    | ~ v2_lattice3(skc11)
    | ~ v1_lattice3(skc11)
    | ~ v4_orders_2(skc11)
    | ~ v3_orders_2(skc11)
    | ~ v2_orders_2(skc11)
    | ~ v17_waybel_0(k7_grcat_1(skc11),skc11,skc11)
    | ~ m2_relset_1(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11))
    | ~ v1_funct_2(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11))
    | ~ m2_relset_1(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11))
    | ~ v1_funct_2(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11))
    | equal(k1_waybel34(skc11,skc11,k7_grcat_1(skc11)),k7_grcat_1(skc11)) ),
    inference(res,[status(thm),theory(equality)],[808,379]),
    [iquote('0:Res:808.0,379.21')] ).

cnf(6134,plain,
    ( ~ v3_lattice3(skc11)
    | ~ v1_funct_1(k7_grcat_1(skc11))
    | ~ l1_orders_2(skc11)
    | ~ v2_lattice3(skc11)
    | ~ v1_lattice3(skc11)
    | ~ v4_orders_2(skc11)
    | ~ v3_orders_2(skc11)
    | ~ v2_orders_2(skc11)
    | ~ v17_waybel_0(k7_grcat_1(skc11),skc11,skc11)
    | ~ m2_relset_1(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11))
    | ~ v1_funct_2(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11))
    | equal(k1_waybel34(skc11,skc11,k7_grcat_1(skc11)),k7_grcat_1(skc11)) ),
    inference(obv,[status(thm),theory(equality)],[6130]),
    [iquote('0:Obv:6130.18')] ).

cnf(6135,plain,
    ( ~ v17_waybel_0(k7_grcat_1(skc11),skc11,skc11)
    | ~ m2_relset_1(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11))
    | ~ v1_funct_2(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11))
    | equal(k1_waybel34(skc11,skc11,k7_grcat_1(skc11)),k7_grcat_1(skc11)) ),
    inference(ssi,[status(thm)],[6134,6,4,5,2,3,1,7,788,787,759,549,761,760,763,752,547,548]),
    [iquote('0:SSi:6134.7,6134.6,6134.5,6134.4,6134.3,6134.2,6134.1,6134.0,6.0,4.0,5.0,2.0,3.0,1.0,7.0,788.0,787.0,759.0,549.0,761.0,760.0,6.0,4.0,5.0,2.0,3.0,1.0,7.0,788.0,787.0,759.0,549.0,761.0,760.0,6.0,4.0,5.0,2.0,3.0,1.0,7.0,788.0,787.0,759.0,549.0,761.0,760.0,6.0,4.0,5.0,2.0,3.0,1.0,7.0,788.0,787.0,759.0,549.0,761.0,760.0,6.0,4.0,5.0,2.0,3.0,1.0,7.0,788.0,787.0,759.0,549.0,761.0,760.0,6.0,4.0,5.0,2.0,3.0,1.0,7.0,788.0,787.0,759.0,549.0,761.0,760.0,763.0,752.0,547.0,548.0,6.0,4.0,5.0,2.0,3.0,1.0,7.0,788.0,787.0,759.0,549.0,761.0,760.0')] ).

cnf(6136,plain,
    ( ~ m2_relset_1(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11))
    | equal(k1_waybel34(skc11,skc11,k7_grcat_1(skc11)),k7_grcat_1(skc11)) ),
    inference(mrr,[status(thm)],[6135,789,533]),
    [iquote('0:MRR:6135.0,6135.2,789.0,533.0')] ).

cnf(6153,plain,
    ( ~ v3_lattice3(skc11)
    | ~ v3_lattice3(skc11)
    | ~ v1_funct_1(k7_grcat_1(skc11))
    | ~ v1_funct_1(k7_grcat_1(skc11))
    | ~ l1_orders_2(skc11)
    | ~ v2_lattice3(skc11)
    | ~ v1_lattice3(skc11)
    | ~ v4_orders_2(skc11)
    | ~ v3_orders_2(skc11)
    | ~ v2_orders_2(skc11)
    | ~ l1_orders_2(skc11)
    | ~ v2_lattice3(skc11)
    | ~ v1_lattice3(skc11)
    | ~ v4_orders_2(skc11)
    | ~ v3_orders_2(skc11)
    | ~ v2_orders_2(skc11)
    | ~ v18_waybel_0(k7_grcat_1(skc11),skc11,skc11)
    | ~ m2_relset_1(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11))
    | ~ v1_funct_2(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11))
    | ~ m2_relset_1(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11))
    | ~ v1_funct_2(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11))
    | equal(k2_waybel34(skc11,skc11,k7_grcat_1(skc11)),k7_grcat_1(skc11)) ),
    inference(res,[status(thm),theory(equality)],[808,377]),
    [iquote('0:Res:808.0,377.21')] ).

cnf(6157,plain,
    ( ~ v3_lattice3(skc11)
    | ~ v1_funct_1(k7_grcat_1(skc11))
    | ~ l1_orders_2(skc11)
    | ~ v2_lattice3(skc11)
    | ~ v1_lattice3(skc11)
    | ~ v4_orders_2(skc11)
    | ~ v3_orders_2(skc11)
    | ~ v2_orders_2(skc11)
    | ~ v18_waybel_0(k7_grcat_1(skc11),skc11,skc11)
    | ~ m2_relset_1(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11))
    | ~ v1_funct_2(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11))
    | equal(k2_waybel34(skc11,skc11,k7_grcat_1(skc11)),k7_grcat_1(skc11)) ),
    inference(obv,[status(thm),theory(equality)],[6153]),
    [iquote('0:Obv:6153.18')] ).

cnf(6158,plain,
    ( ~ v18_waybel_0(k7_grcat_1(skc11),skc11,skc11)
    | ~ m2_relset_1(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11))
    | ~ v1_funct_2(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11))
    | equal(k2_waybel34(skc11,skc11,k7_grcat_1(skc11)),k7_grcat_1(skc11)) ),
    inference(ssi,[status(thm)],[6157,6,4,5,2,3,1,7,788,787,759,549,761,760,763,752,547,548]),
    [iquote('0:SSi:6157.7,6157.6,6157.5,6157.4,6157.3,6157.2,6157.1,6157.0,6.0,4.0,5.0,2.0,3.0,1.0,7.0,788.0,787.0,759.0,549.0,761.0,760.0,6.0,4.0,5.0,2.0,3.0,1.0,7.0,788.0,787.0,759.0,549.0,761.0,760.0,6.0,4.0,5.0,2.0,3.0,1.0,7.0,788.0,787.0,759.0,549.0,761.0,760.0,6.0,4.0,5.0,2.0,3.0,1.0,7.0,788.0,787.0,759.0,549.0,761.0,760.0,6.0,4.0,5.0,2.0,3.0,1.0,7.0,788.0,787.0,759.0,549.0,761.0,760.0,6.0,4.0,5.0,2.0,3.0,1.0,7.0,788.0,787.0,759.0,549.0,761.0,760.0,763.0,752.0,547.0,548.0,6.0,4.0,5.0,2.0,3.0,1.0,7.0,788.0,787.0,759.0,549.0,761.0,760.0')] ).

cnf(6159,plain,
    ( ~ m2_relset_1(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11))
    | equal(k2_waybel34(skc11,skc11,k7_grcat_1(skc11)),k7_grcat_1(skc11)) ),
    inference(mrr,[status(thm)],[6158,790,533]),
    [iquote('0:MRR:6158.0,6158.2,790.0,533.0')] ).

cnf(23771,plain,
    ( ~ l1_struct_0(skc11)
    | equal(k1_waybel34(skc11,skc11,k7_grcat_1(skc11)),k7_grcat_1(skc11)) ),
    inference(res,[status(thm),theory(equality)],[171,6136]),
    [iquote('0:Res:171.1,6136.0')] ).

cnf(23772,plain,
    equal(k1_waybel34(skc11,skc11,k7_grcat_1(skc11)),k7_grcat_1(skc11)),
    inference(ssi,[status(thm)],[23771,6,4,5,2,3,1,7,788,787,759,549,761,760]),
    [iquote('0:SSi:23771.0,6.0,4.0,5.0,2.0,3.0,1.0,7.0,788.0,787.0,759.0,549.0,761.0,760.0')] ).

cnf(23773,plain,
    ( ~ equal(k2_waybel34(skc11,skc11,k7_grcat_1(skc11)),k7_grcat_1(skc11))
    | ~ equal(k7_grcat_1(skc11),k7_grcat_1(skc11)) ),
    inference(rew,[status(thm),theory(equality)],[23772,283]),
    [iquote('0:Rew:23772.0,283.1')] ).

cnf(23780,plain,
    ~ equal(k2_waybel34(skc11,skc11,k7_grcat_1(skc11)),k7_grcat_1(skc11)),
    inference(obv,[status(thm),theory(equality)],[23773]),
    [iquote('0:Obv:23773.1')] ).

cnf(23781,plain,
    ~ m2_relset_1(k7_grcat_1(skc11),u1_struct_0(skc11),u1_struct_0(skc11)),
    inference(mrr,[status(thm)],[6159,23780]),
    [iquote('0:MRR:6159.1,23780.0')] ).

cnf(23864,plain,
    ~ l1_struct_0(skc11),
    inference(res,[status(thm),theory(equality)],[171,23781]),
    [iquote('0:Res:171.1,23781.0')] ).

cnf(23865,plain,
    $false,
    inference(ssi,[status(thm)],[23864,6,4,5,2,3,1,7,788,787,759,549,761,760]),
    [iquote('0:SSi:23864.0,6.0,4.0,5.0,2.0,3.0,1.0,7.0,788.0,787.0,759.0,549.0,761.0,760.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LAT356+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.12/0.32  % Computer : n020.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Thu Jun 30 09:34:45 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 14.37/14.61  
% 14.37/14.61  SPASS V 3.9 
% 14.37/14.61  SPASS beiseite: Proof found.
% 14.37/14.61  % SZS status Theorem
% 14.37/14.61  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 14.37/14.61  SPASS derived 18909 clauses, backtracked 0 clauses, performed 0 splits and kept 10628 clauses.
% 14.37/14.61  SPASS allocated 120537 KBytes.
% 14.37/14.61  SPASS spent	0:0:14.27 on the problem.
% 14.37/14.61  		0:00:00.03 for the input.
% 14.37/14.61  		0:00:00.17 for the FLOTTER CNF translation.
% 14.37/14.61  		0:00:00.52 for inferences.
% 14.37/14.61  		0:00:00.00 for the backtracking.
% 14.37/14.61  		0:0:12.17 for the reduction.
% 14.37/14.61  
% 14.37/14.61  
% 14.37/14.61  Here is a proof with depth 3, length 67 :
% 14.37/14.61  % SZS output start Refutation
% See solution above
% 15.55/15.78  Formulae used in the proof : t7_waybel34 dt_l1_orders_2 fc2_waybel_1 cc4_yellow_0 fc3_waybel_1 cc1_lattice3 cc3_yellow_0 dt_k7_grcat_1 fc4_waybel10 cc10_waybel_0 t6_waybel34 d2_waybel34 d1_waybel34
% 15.55/15.78  
%------------------------------------------------------------------------------