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SPASS---3.9.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO653+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n025.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 : Sat Jul 16 06:25:44 EDT 2022

% Result   : Theorem 20.18s 20.38s
% Output   : Refutation 20.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   32
% Syntax   : Number of clauses     :  110 (  45 unt;   2 nHn; 110 RR)
%            Number of literals    :  208 (   0 equ;  97 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :   16 (  16 usr;  16 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    coll(skc13,skc12,skc9),
    file('GEO653+1.p',unknown),
    [] ).

cnf(7,axiom,
    para(skc15,skc14,skc12,skc8),
    file('GEO653+1.p',unknown),
    [] ).

cnf(8,axiom,
    para(skc15,skc12,skc14,skc8),
    file('GEO653+1.p',unknown),
    [] ).

cnf(9,axiom,
    para(skc15,skc8,skc9,skc11),
    file('GEO653+1.p',unknown),
    [] ).

cnf(10,axiom,
    ~ para(skc10,skc13,skc15,skc14),
    file('GEO653+1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ coll(u,v,w)
    | coll(u,w,v) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(15,axiom,
    ( ~ para(u,v,u,w)
    | coll(u,v,w) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(17,axiom,
    ( ~ para(u,v,w,x)
    | para(u,v,x,w) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(18,axiom,
    ( ~ para(u,v,w,x)
    | para(w,x,u,v) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(22,axiom,
    ( ~ cyclic(u,v,w,x)
    | cyclic(u,w,v,x) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(23,axiom,
    ( ~ cyclic(u,v,w,x)
    | cyclic(v,u,w,x) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(24,axiom,
    ( ~ cong(u,v,w,x)
    | cong(u,v,x,w) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(25,axiom,
    ( ~ cong(u,v,w,x)
    | cong(w,x,u,v) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(28,axiom,
    ( ~ coll(u,v,w)
    | ~ coll(u,v,x)
    | coll(x,w,u) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(35,axiom,
    ( ~ eqangle(u,v,w,x,y,z,w,x)
    | para(u,v,y,z) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(36,axiom,
    ( ~ para(u,v,w,x)
    | eqangle(u,v,y,z,w,x,y,z) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(37,axiom,
    ( ~ cyclic(u,v,w,x)
    | eqangle(w,u,w,v,x,u,x,v) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(38,axiom,
    ( ~ midp(u,v,w)
    | ~ midp(x,v,y)
    | para(x,u,y,w) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(39,axiom,
    ( ~ cong(u,v,u,w)
    | eqangle(u,v,v,w,v,w,u,w) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(41,axiom,
    ( ~ coll(u,v,w)
    | ~ cong(u,v,u,w)
    | midp(u,v,w) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(42,axiom,
    ( ~ midp(u,v,w)
    | ~ perp(v,x,x,w)
    | cong(v,u,x,u) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(45,axiom,
    ( ~ para(u,v,w,x)
    | ~ para(y,z,u,v)
    | para(y,z,w,x) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(49,axiom,
    ( ~ cyclic(u,v,w,x)
    | ~ cyclic(u,v,w,y)
    | cyclic(v,w,y,x) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(57,axiom,
    ( ~ eqangle(u,v,w,x,y,z,x1,x2)
    | eqangle(w,x,u,v,x1,x2,y,z) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(58,axiom,
    ( ~ eqangle(u,v,w,x,y,z,x1,x2)
    | eqangle(y,z,x1,x2,u,v,w,x) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(59,axiom,
    ( ~ eqangle(u,v,w,x,y,z,x1,x2)
    | eqangle(u,v,y,z,w,x,x1,x2) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(64,axiom,
    ( ~ eqangle(u,v,u,w,x,v,x,w)
    | coll(u,x,v)
    | cyclic(v,w,u,x) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(80,axiom,
    ( ~ coll(u,v,w)
    | ~ midp(x,v,y)
    | ~ para(x,u,y,w)
    | midp(u,v,w) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(81,axiom,
    ( ~ coll(u,v,w)
    | ~ eqangle(u,x,u,w,v,x,v,w)
    | cyclic(x,w,u,v) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(90,axiom,
    ( ~ midp(u,v,w)
    | ~ para(v,x,w,y)
    | ~ para(v,y,w,x)
    | midp(u,y,x) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(97,axiom,
    ( ~ cyclic(u,v,w,x)
    | ~ cong(u,x,v,x)
    | ~ cong(u,w,v,w)
    | perp(w,u,u,x) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(123,axiom,
    ( ~ cyclic(u,v,w,x)
    | ~ cyclic(u,v,w,y)
    | ~ cyclic(u,v,w,z)
    | ~ eqangle(w,u,w,v,z,x,z,y)
    | cong(u,v,x,y) ),
    file('GEO653+1.p',unknown),
    [] ).

cnf(172,plain,
    coll(skc13,skc9,skc12),
    inference(res,[status(thm),theory(equality)],[4,11]),
    [iquote('0:Res:4.0,11.0')] ).

cnf(394,plain,
    para(skc9,skc11,skc15,skc8),
    inference(res,[status(thm),theory(equality)],[9,18]),
    [iquote('0:Res:9.0,18.0')] ).

cnf(395,plain,
    para(skc14,skc8,skc15,skc12),
    inference(res,[status(thm),theory(equality)],[8,18]),
    [iquote('0:Res:8.0,18.0')] ).

cnf(396,plain,
    para(skc12,skc8,skc15,skc14),
    inference(res,[status(thm),theory(equality)],[7,18]),
    [iquote('0:Res:7.0,18.0')] ).

cnf(402,plain,
    para(skc15,skc12,skc8,skc14),
    inference(res,[status(thm),theory(equality)],[8,17]),
    [iquote('0:Res:8.0,17.0')] ).

cnf(403,plain,
    para(skc15,skc14,skc8,skc12),
    inference(res,[status(thm),theory(equality)],[7,17]),
    [iquote('0:Res:7.0,17.0')] ).

cnf(405,plain,
    para(skc14,skc8,skc12,skc15),
    inference(res,[status(thm),theory(equality)],[395,17]),
    [iquote('0:Res:395.0,17.0')] ).

cnf(406,plain,
    para(skc12,skc8,skc14,skc15),
    inference(res,[status(thm),theory(equality)],[396,17]),
    [iquote('0:Res:396.0,17.0')] ).

cnf(410,plain,
    para(skc8,skc14,skc15,skc12),
    inference(res,[status(thm),theory(equality)],[402,18]),
    [iquote('0:Res:402.0,18.0')] ).

cnf(412,plain,
    para(skc8,skc12,skc15,skc14),
    inference(res,[status(thm),theory(equality)],[403,18]),
    [iquote('0:Res:403.0,18.0')] ).

cnf(418,plain,
    para(skc14,skc15,skc12,skc8),
    inference(res,[status(thm),theory(equality)],[406,18]),
    [iquote('0:Res:406.0,18.0')] ).

cnf(453,plain,
    ( ~ coll(skc13,skc9,u)
    | coll(u,skc12,skc13) ),
    inference(res,[status(thm),theory(equality)],[172,28]),
    [iquote('0:Res:172.0,28.0')] ).

cnf(629,plain,
    ( ~ cong(u,u,u,v)
    | para(u,u,u,v) ),
    inference(res,[status(thm),theory(equality)],[39,35]),
    [iquote('0:Res:39.1,35.0')] ).

cnf(775,plain,
    ( ~ para(u,v,skc15,skc8)
    | para(u,v,skc9,skc11) ),
    inference(res,[status(thm),theory(equality)],[9,45]),
    [iquote('0:Res:9.0,45.0')] ).

cnf(778,plain,
    ( ~ para(u,v,skc15,skc14)
    | para(u,v,skc12,skc8) ),
    inference(res,[status(thm),theory(equality)],[7,45]),
    [iquote('0:Res:7.0,45.0')] ).

cnf(881,plain,
    coll(skc12,skc12,skc13),
    inference(res,[status(thm),theory(equality)],[172,453]),
    [iquote('0:Res:172.0,453.0')] ).

cnf(887,plain,
    coll(skc12,skc13,skc12),
    inference(res,[status(thm),theory(equality)],[881,11]),
    [iquote('0:Res:881.0,11.0')] ).

cnf(901,plain,
    ( ~ coll(skc12,skc13,u)
    | coll(u,skc12,skc12) ),
    inference(res,[status(thm),theory(equality)],[887,28]),
    [iquote('0:Res:887.0,28.0')] ).

cnf(1046,plain,
    ( ~ para(u,v,w,x)
    | eqangle(u,v,w,x,y,z,y,z) ),
    inference(res,[status(thm),theory(equality)],[36,59]),
    [iquote('0:Res:36.1,59.0')] ).

cnf(1062,plain,
    ( ~ cong(u,v,u,w)
    | eqangle(v,w,u,w,u,v,v,w) ),
    inference(res,[status(thm),theory(equality)],[39,58]),
    [iquote('0:Res:39.1,58.0')] ).

cnf(1081,plain,
    ( ~ para(u,v,w,x)
    | eqangle(y,z,u,v,y,z,w,x) ),
    inference(res,[status(thm),theory(equality)],[36,57]),
    [iquote('0:Res:36.1,57.0')] ).

cnf(1236,plain,
    ( ~ para(u,v,u,v)
    | ~ coll(u,u,w)
    | cyclic(v,w,u,u) ),
    inference(res,[status(thm),theory(equality)],[36,81]),
    [iquote('0:Res:36.1,81.1')] ).

cnf(1305,plain,
    ( ~ midp(u,skc8,skc15)
    | ~ para(skc8,skc12,skc15,skc14)
    | midp(u,skc12,skc14) ),
    inference(res,[status(thm),theory(equality)],[410,90]),
    [iquote('0:Res:410.0,90.1')] ).

cnf(1316,plain,
    ( ~ midp(u,skc14,skc12)
    | ~ para(skc14,skc8,skc12,skc15)
    | midp(u,skc8,skc15) ),
    inference(res,[status(thm),theory(equality)],[418,90]),
    [iquote('0:Res:418.0,90.1')] ).

cnf(1321,plain,
    ( ~ midp(u,skc8,skc15)
    | midp(u,skc12,skc14) ),
    inference(mrr,[status(thm)],[1305,412]),
    [iquote('0:MRR:1305.1,412.0')] ).

cnf(1326,plain,
    ( ~ midp(u,skc14,skc12)
    | midp(u,skc8,skc15) ),
    inference(mrr,[status(thm)],[1316,405]),
    [iquote('0:MRR:1316.1,405.0')] ).

cnf(2181,plain,
    ( ~ cyclic(u,v,w,x)
    | ~ cyclic(u,v,w,u)
    | ~ cyclic(u,v,w,v)
    | ~ cyclic(u,v,w,x)
    | cong(u,v,u,v) ),
    inference(res,[status(thm),theory(equality)],[37,123]),
    [iquote('0:Res:37.1,123.3')] ).

cnf(2183,plain,
    ( ~ cyclic(u,v,w,u)
    | ~ cyclic(u,v,w,v)
    | ~ cyclic(u,v,w,x)
    | cong(u,v,u,v) ),
    inference(obv,[status(thm),theory(equality)],[2181]),
    [iquote('0:Obv:2181.0')] ).

cnf(2184,plain,
    ( ~ cyclic(u,v,w,u)
    | ~ cyclic(u,v,w,v)
    | cong(u,v,u,v) ),
    inference(con,[status(thm)],[2183]),
    [iquote('0:Con:2183.2')] ).

cnf(2489,plain,
    para(skc9,skc11,skc9,skc11),
    inference(res,[status(thm),theory(equality)],[394,775]),
    [iquote('0:Res:394.0,775.0')] ).

cnf(2567,plain,
    para(skc12,skc8,skc12,skc8),
    inference(res,[status(thm),theory(equality)],[396,778]),
    [iquote('0:Res:396.0,778.0')] ).

cnf(2568,plain,
    para(skc8,skc12,skc12,skc8),
    inference(res,[status(thm),theory(equality)],[412,778]),
    [iquote('0:Res:412.0,778.0')] ).

cnf(2609,plain,
    para(skc8,skc12,skc8,skc12),
    inference(res,[status(thm),theory(equality)],[2568,17]),
    [iquote('0:Res:2568.0,17.0')] ).

cnf(3894,plain,
    coll(skc12,skc12,skc12),
    inference(res,[status(thm),theory(equality)],[887,901]),
    [iquote('0:Res:887.0,901.0')] ).

cnf(3908,plain,
    ( ~ para(u,v,u,v)
    | coll(u,w,v)
    | cyclic(v,v,u,w) ),
    inference(res,[status(thm),theory(equality)],[1046,64]),
    [iquote('0:Res:1046.1,64.0')] ).

cnf(3919,plain,
    ( ~ para(u,v,u,v)
    | ~ coll(u,w,v)
    | cyclic(v,v,u,w) ),
    inference(res,[status(thm),theory(equality)],[1046,81]),
    [iquote('0:Res:1046.1,81.1')] ).

cnf(3937,plain,
    ( ~ para(u,v,u,v)
    | cyclic(v,v,u,w) ),
    inference(mrr,[status(thm)],[3919,3908]),
    [iquote('0:MRR:3919.1,3908.1')] ).

cnf(3995,plain,
    ( ~ cong(u,u,u,v)
    | para(u,v,u,u) ),
    inference(res,[status(thm),theory(equality)],[1062,35]),
    [iquote('0:Res:1062.1,35.0')] ).

cnf(4212,plain,
    ( ~ para(u,v,u,v)
    | para(w,x,w,x) ),
    inference(res,[status(thm),theory(equality)],[1081,35]),
    [iquote('0:Res:1081.1,35.0')] ).

cnf(4643,plain,
    ( ~ coll(skc12,skc12,u)
    | cyclic(skc8,u,skc12,skc12) ),
    inference(res,[status(thm),theory(equality)],[2567,1236]),
    [iquote('0:Res:2567.0,1236.0')] ).

cnf(5123,plain,
    ( ~ midp(u,skc8,skc15)
    | ~ midp(v,skc12,w)
    | para(v,u,w,skc14) ),
    inference(res,[status(thm),theory(equality)],[1321,38]),
    [iquote('0:Res:1321.1,38.0')] ).

cnf(9625,plain,
    ( ~ coll(skc12,skc12,u)
    | cyclic(u,skc8,skc12,skc12) ),
    inference(res,[status(thm),theory(equality)],[4643,23]),
    [iquote('0:Res:4643.1,23.0')] ).

cnf(9762,plain,
    ( ~ coll(skc12,skc12,u)
    | cyclic(u,skc12,skc8,skc12) ),
    inference(res,[status(thm),theory(equality)],[9625,22]),
    [iquote('0:Res:9625.1,22.0')] ).

cnf(9969,plain,
    ( ~ coll(skc12,skc12,skc12)
    | ~ cyclic(skc12,skc12,skc8,skc12)
    | cong(skc12,skc12,skc12,skc12) ),
    inference(res,[status(thm),theory(equality)],[9762,2184]),
    [iquote('0:Res:9762.1,2184.0')] ).

cnf(9970,plain,
    ( ~ cyclic(skc12,skc12,skc8,skc12)
    | cong(skc12,skc12,skc12,skc12) ),
    inference(mrr,[status(thm)],[9969,3894]),
    [iquote('0:MRR:9969.0,3894.0')] ).

cnf(17900,plain,
    cyclic(skc12,skc12,skc8,u),
    inference(res,[status(thm),theory(equality)],[2609,3937]),
    [iquote('0:Res:2609.0,3937.0')] ).

cnf(17906,plain,
    cong(skc12,skc12,skc12,skc12),
    inference(mrr,[status(thm)],[9970,17900]),
    [iquote('0:MRR:9970.0,17900.0')] ).

cnf(18215,plain,
    ( ~ coll(skc12,skc12,skc12)
    | midp(skc12,skc12,skc12) ),
    inference(res,[status(thm),theory(equality)],[17906,41]),
    [iquote('0:Res:17906.0,41.1')] ).

cnf(18233,plain,
    midp(skc12,skc12,skc12),
    inference(mrr,[status(thm)],[18215,3894]),
    [iquote('0:MRR:18215.0,3894.0')] ).

cnf(18251,plain,
    para(u,v,u,v),
    inference(res,[status(thm),theory(equality)],[2489,4212]),
    [iquote('0:Res:2489.0,4212.0')] ).

cnf(18260,plain,
    cyclic(u,u,v,w),
    inference(mrr,[status(thm)],[3937,18251]),
    [iquote('0:MRR:3937.0,18251.0')] ).

cnf(21596,plain,
    ( ~ cong(u,v,u,v)
    | ~ cong(u,w,u,w)
    | perp(w,u,u,v) ),
    inference(res,[status(thm),theory(equality)],[18260,97]),
    [iquote('0:Res:18260.0,97.0')] ).

cnf(21597,plain,
    ( ~ cyclic(u,u,v,w)
    | cyclic(u,v,w,x) ),
    inference(res,[status(thm),theory(equality)],[18260,49]),
    [iquote('0:Res:18260.0,49.0')] ).

cnf(21654,plain,
    cyclic(u,v,w,x),
    inference(mrr,[status(thm)],[21597,18260]),
    [iquote('0:MRR:21597.0,18260.0')] ).

cnf(21675,plain,
    cong(u,v,u,v),
    inference(mrr,[status(thm)],[2184,21654]),
    [iquote('0:MRR:2184.1,2184.0,21654.0')] ).

cnf(21988,plain,
    perp(u,v,v,w),
    inference(mrr,[status(thm)],[21596,21675]),
    [iquote('0:MRR:21596.0,21596.1,21675.0,21675.0')] ).

cnf(22009,plain,
    ( ~ midp(u,v,w)
    | cong(v,u,x,u) ),
    inference(mrr,[status(thm)],[42,21988]),
    [iquote('0:MRR:42.1,21988.0')] ).

cnf(22676,plain,
    cong(skc12,skc12,u,skc12),
    inference(res,[status(thm),theory(equality)],[18233,22009]),
    [iquote('0:Res:18233.0,22009.0')] ).

cnf(24004,plain,
    cong(skc12,skc12,skc12,u),
    inference(res,[status(thm),theory(equality)],[22676,24]),
    [iquote('0:Res:22676.0,24.0')] ).

cnf(25953,plain,
    cong(skc12,u,skc12,skc12),
    inference(res,[status(thm),theory(equality)],[24004,25]),
    [iquote('0:Res:24004.0,25.0')] ).

cnf(25956,plain,
    para(skc12,u,skc12,skc12),
    inference(res,[status(thm),theory(equality)],[24004,3995]),
    [iquote('0:Res:24004.0,3995.0')] ).

cnf(25957,plain,
    para(skc12,skc12,skc12,u),
    inference(res,[status(thm),theory(equality)],[24004,629]),
    [iquote('0:Res:24004.0,629.0')] ).

cnf(27237,plain,
    ( ~ coll(skc12,u,skc12)
    | midp(skc12,u,skc12) ),
    inference(res,[status(thm),theory(equality)],[25953,41]),
    [iquote('0:Res:25953.0,41.1')] ).

cnf(27246,plain,
    coll(skc12,u,skc12),
    inference(res,[status(thm),theory(equality)],[25956,15]),
    [iquote('0:Res:25956.0,15.0')] ).

cnf(27253,plain,
    ( ~ coll(u,v,skc12)
    | ~ midp(skc12,v,skc12)
    | midp(u,v,skc12) ),
    inference(res,[status(thm),theory(equality)],[25956,80]),
    [iquote('0:Res:25956.0,80.2')] ).

cnf(27256,plain,
    ( ~ midp(u,skc12,skc12)
    | ~ para(skc12,skc12,skc12,v)
    | midp(u,skc12,v) ),
    inference(res,[status(thm),theory(equality)],[25956,90]),
    [iquote('0:Res:25956.0,90.1')] ).

cnf(27266,plain,
    midp(skc12,u,skc12),
    inference(mrr,[status(thm)],[27237,27246]),
    [iquote('0:MRR:27237.0,27246.0')] ).

cnf(27272,plain,
    ( ~ coll(u,v,skc12)
    | midp(u,v,skc12) ),
    inference(mrr,[status(thm)],[27253,27266]),
    [iquote('0:MRR:27253.1,27266.0')] ).

cnf(27273,plain,
    ( ~ midp(u,skc12,skc12)
    | midp(u,skc12,v) ),
    inference(mrr,[status(thm)],[27256,25957]),
    [iquote('0:MRR:27256.1,25957.0')] ).

cnf(27326,plain,
    coll(skc12,skc12,u),
    inference(res,[status(thm),theory(equality)],[27246,11]),
    [iquote('0:Res:27246.0,11.0')] ).

cnf(27496,plain,
    ( ~ coll(skc12,skc12,u)
    | coll(u,v,skc12) ),
    inference(res,[status(thm),theory(equality)],[27326,28]),
    [iquote('0:Res:27326.0,28.0')] ).

cnf(27499,plain,
    coll(u,v,skc12),
    inference(mrr,[status(thm)],[27496,27326]),
    [iquote('0:MRR:27496.0,27326.0')] ).

cnf(27504,plain,
    midp(u,v,skc12),
    inference(mrr,[status(thm)],[27272,27499]),
    [iquote('0:MRR:27272.0,27499.0')] ).

cnf(27522,plain,
    midp(u,skc8,skc15),
    inference(mrr,[status(thm)],[1326,27504]),
    [iquote('0:MRR:1326.0,27504.0')] ).

cnf(27549,plain,
    midp(u,skc12,v),
    inference(mrr,[status(thm)],[27273,27504]),
    [iquote('0:MRR:27273.0,27504.0')] ).

cnf(27610,plain,
    ( ~ midp(u,skc12,v)
    | para(u,w,v,skc14) ),
    inference(mrr,[status(thm)],[5123,27522]),
    [iquote('0:MRR:5123.0,27522.0')] ).

cnf(27866,plain,
    para(u,v,w,skc14),
    inference(mrr,[status(thm)],[27610,27549]),
    [iquote('0:MRR:27610.0,27549.0')] ).

cnf(27867,plain,
    $false,
    inference(unc,[status(thm)],[27866,10]),
    [iquote('0:UnC:27866.0,10.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO653+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n025.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 : Fri Jun 17 19:42:27 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 20.18/20.38  
% 20.18/20.38  SPASS V 3.9 
% 20.18/20.38  SPASS beiseite: Proof found.
% 20.18/20.38  % SZS status Theorem
% 20.18/20.38  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 20.18/20.38  SPASS derived 26183 clauses, backtracked 0 clauses, performed 0 splits and kept 15400 clauses.
% 20.18/20.38  SPASS allocated 104006 KBytes.
% 20.18/20.38  SPASS spent	0:0:19.79 on the problem.
% 20.18/20.38  		0:00:00.04 for the input.
% 20.18/20.38  		0:00:00.28 for the FLOTTER CNF translation.
% 20.18/20.38  		0:00:00.54 for inferences.
% 20.18/20.38  		0:00:00.00 for the backtracking.
% 20.18/20.38  		0:0:18.23 for the reduction.
% 20.18/20.38  
% 20.18/20.38  
% 20.18/20.38  Here is a proof with depth 13, length 110 :
% 20.18/20.38  % SZS output start Refutation
% See solution above
% 20.18/20.38  Formulae used in the proof : exemplo6GDDFULLmoreE0227 ruleD1 ruleD66 ruleD4 ruleD5 ruleD15 ruleD16 ruleD23 ruleD24 ruleD3 ruleD39 ruleD40 ruleD41 ruleD44 ruleD46 ruleD67 ruleD52 ruleD6 ruleD17 ruleD19 ruleD20 ruleD21 ruleD42a ruleD45 ruleD42b ruleD64 ruleD57 ruleD43
% 20.18/20.38  
%------------------------------------------------------------------------------