TSTP Solution File: GEO657+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GEO657+1 : TPTP v8.1.0. Released v7.5.0.
% 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 : Sat Jul 16 06:25:45 EDT 2022

% Result   : Theorem 1.81s 2.01s
% Output   : Refutation 1.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   27
% Syntax   : Number of clauses     :  119 (  63 unt;   2 nHn; 119 RR)
%            Number of literals    :  203 (   0 equ;  85 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-8 aty)
%            Number of functors    :   15 (  15 usr;  15 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    coll(skc12,skc13,skc7),
    file('GEO657+1.p',unknown),
    [] ).

cnf(2,axiom,
    coll(skc10,skc11,skc7),
    file('GEO657+1.p',unknown),
    [] ).

cnf(3,axiom,
    coll(skc9,skc7,skc8),
    file('GEO657+1.p',unknown),
    [] ).

cnf(4,axiom,
    para(skc13,skc11,skc10,skc12),
    file('GEO657+1.p',unknown),
    [] ).

cnf(5,axiom,
    para(skc13,skc8,skc9,skc12),
    file('GEO657+1.p',unknown),
    [] ).

cnf(6,axiom,
    ~ para(skc11,skc8,skc10,skc9),
    file('GEO657+1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ coll(u,v,w)
    | coll(u,w,v) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ coll(u,v,w)
    | coll(v,u,w) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ midp(u,v,w)
    | midp(u,w,v) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ para(u,v,u,w)
    | coll(u,v,w) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ para(u,v,w,x)
    | para(u,v,x,w) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ para(u,v,w,x)
    | para(w,x,u,v) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(24,axiom,
    ( ~ coll(u,v,w)
    | ~ coll(u,v,x)
    | coll(x,w,u) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(32,axiom,
    ( ~ para(u,v,w,x)
    | eqangle(u,v,y,z,w,x,y,z) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(33,axiom,
    ( ~ cyclic(u,v,w,x)
    | eqangle(w,u,w,v,x,u,x,v) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(34,axiom,
    ( ~ midp(u,v,w)
    | ~ midp(x,v,y)
    | para(x,u,y,w) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(37,axiom,
    ( ~ coll(u,v,w)
    | ~ cong(u,v,u,w)
    | midp(u,v,w) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(41,axiom,
    ( ~ para(u,v,w,x)
    | ~ para(y,z,u,v)
    | para(y,z,w,x) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(45,axiom,
    ( ~ cyclic(u,v,w,x)
    | ~ cyclic(u,v,w,y)
    | cyclic(v,w,y,x) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(54,axiom,
    ( ~ eqangle(u,v,w,x,y,z,x1,x2)
    | eqangle(y,z,x1,x2,u,v,w,x) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(55,axiom,
    ( ~ eqangle(u,v,w,x,y,z,x1,x2)
    | eqangle(u,v,y,z,w,x,x1,x2) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(60,axiom,
    ( ~ eqangle(u,v,u,w,x,v,x,w)
    | coll(u,x,v)
    | cyclic(v,w,u,x) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(76,axiom,
    ( ~ coll(u,v,w)
    | ~ midp(x,v,y)
    | ~ para(x,u,y,w)
    | midp(u,v,w) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(77,axiom,
    ( ~ coll(u,v,w)
    | ~ eqangle(u,x,u,w,v,x,v,w)
    | cyclic(x,w,u,v) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(85,axiom,
    ( ~ para(u,v,w,x)
    | ~ eqangle(y,z,x1,x2,u,v,w,x)
    | para(y,z,x1,x2) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(86,axiom,
    ( ~ midp(u,v,w)
    | ~ para(v,x,w,y)
    | ~ para(v,y,w,x)
    | midp(u,y,x) ),
    file('GEO657+1.p',unknown),
    [] ).

cnf(119,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('GEO657+1.p',unknown),
    [] ).

cnf(121,plain,
    ( ~ coll(skc9,skc7,u)
    | coll(skc8,u,skc9) ),
    inference(res,[status(thm),theory(equality)],[3,24]),
    [iquote('0:Res:3.0,24.0')] ).

cnf(122,plain,
    coll(skc9,skc8,skc7),
    inference(res,[status(thm),theory(equality)],[3,7]),
    [iquote('0:Res:3.0,7.0')] ).

cnf(144,plain,
    ( ~ coll(skc10,skc11,u)
    | coll(skc7,u,skc10) ),
    inference(res,[status(thm),theory(equality)],[2,24]),
    [iquote('0:Res:2.0,24.0')] ).

cnf(145,plain,
    coll(skc10,skc7,skc11),
    inference(res,[status(thm),theory(equality)],[2,7]),
    [iquote('0:Res:2.0,7.0')] ).

cnf(171,plain,
    ( ~ coll(skc12,skc13,u)
    | coll(u,skc7,skc12) ),
    inference(res,[status(thm),theory(equality)],[1,24]),
    [iquote('0:Res:1.0,24.1')] ).

cnf(197,plain,
    para(skc9,skc12,skc13,skc8),
    inference(res,[status(thm),theory(equality)],[5,14]),
    [iquote('0:Res:5.0,14.0')] ).

cnf(198,plain,
    ( ~ para(u,v,skc13,skc8)
    | para(u,v,skc9,skc12) ),
    inference(res,[status(thm),theory(equality)],[5,41]),
    [iquote('0:Res:5.0,41.1')] ).

cnf(200,plain,
    ( ~ coll(skc8,u,skc12)
    | ~ midp(skc13,u,skc9)
    | midp(skc8,u,skc12) ),
    inference(res,[status(thm),theory(equality)],[5,76]),
    [iquote('0:Res:5.0,76.2')] ).

cnf(214,plain,
    eqangle(skc13,skc11,u,v,skc10,skc12,u,v),
    inference(res,[status(thm),theory(equality)],[4,32]),
    [iquote('0:Res:4.0,32.0')] ).

cnf(215,plain,
    para(skc13,skc11,skc12,skc10),
    inference(res,[status(thm),theory(equality)],[4,13]),
    [iquote('0:Res:4.0,13.0')] ).

cnf(216,plain,
    para(skc10,skc12,skc13,skc11),
    inference(res,[status(thm),theory(equality)],[4,14]),
    [iquote('0:Res:4.0,14.0')] ).

cnf(217,plain,
    ( ~ para(u,v,skc13,skc11)
    | para(u,v,skc10,skc12) ),
    inference(res,[status(thm),theory(equality)],[4,41]),
    [iquote('0:Res:4.0,41.1')] ).

cnf(219,plain,
    ( ~ coll(skc11,u,skc12)
    | ~ midp(skc13,u,skc10)
    | midp(skc11,u,skc12) ),
    inference(res,[status(thm),theory(equality)],[4,76]),
    [iquote('0:Res:4.0,76.2')] ).

cnf(225,plain,
    ( ~ eqangle(u,v,w,x,skc13,skc11,skc10,skc12)
    | para(u,v,w,x) ),
    inference(res,[status(thm),theory(equality)],[4,85]),
    [iquote('0:Res:4.0,85.1')] ).

cnf(235,plain,
    ( ~ midp(skc8,u,skc9)
    | ~ midp(skc11,u,skc10) ),
    inference(res,[status(thm),theory(equality)],[34,6]),
    [iquote('0:Res:34.2,6.0')] ).

cnf(246,plain,
    coll(skc7,skc7,skc12),
    inference(res,[status(thm),theory(equality)],[1,171]),
    [iquote('0:Res:1.0,171.0')] ).

cnf(253,plain,
    coll(skc7,skc7,skc10),
    inference(res,[status(thm),theory(equality)],[2,144]),
    [iquote('0:Res:2.0,144.0')] ).

cnf(266,plain,
    coll(skc8,skc9,skc7),
    inference(res,[status(thm),theory(equality)],[122,8]),
    [iquote('0:Res:122.0,8.0')] ).

cnf(354,plain,
    para(skc12,skc10,skc13,skc11),
    inference(res,[status(thm),theory(equality)],[215,14]),
    [iquote('0:Res:215.0,14.0')] ).

cnf(364,plain,
    para(skc10,skc12,skc10,skc12),
    inference(res,[status(thm),theory(equality)],[216,217]),
    [iquote('0:Res:216.0,217.0')] ).

cnf(365,plain,
    para(skc12,skc10,skc10,skc12),
    inference(res,[status(thm),theory(equality)],[354,217]),
    [iquote('0:Res:354.0,217.0')] ).

cnf(378,plain,
    coll(skc10,skc12,skc12),
    inference(res,[status(thm),theory(equality)],[364,11]),
    [iquote('0:Res:364.0,11.0')] ).

cnf(382,plain,
    coll(skc12,skc10,skc12),
    inference(res,[status(thm),theory(equality)],[378,8]),
    [iquote('0:Res:378.0,8.0')] ).

cnf(383,plain,
    coll(skc12,skc12,skc10),
    inference(res,[status(thm),theory(equality)],[382,7]),
    [iquote('0:Res:382.0,7.0')] ).

cnf(387,plain,
    para(skc12,skc10,skc12,skc10),
    inference(res,[status(thm),theory(equality)],[365,13]),
    [iquote('0:Res:365.0,13.0')] ).

cnf(406,plain,
    ( ~ coll(skc10,skc7,u)
    | coll(u,skc11,skc10) ),
    inference(res,[status(thm),theory(equality)],[145,24]),
    [iquote('0:Res:145.0,24.0')] ).

cnf(407,plain,
    ( ~ coll(skc7,skc7,u)
    | coll(u,skc12,skc7) ),
    inference(res,[status(thm),theory(equality)],[246,24]),
    [iquote('0:Res:246.0,24.0')] ).

cnf(416,plain,
    ( ~ coll(skc9,skc8,u)
    | coll(u,skc7,skc9) ),
    inference(res,[status(thm),theory(equality)],[122,24]),
    [iquote('0:Res:122.0,24.0')] ).

cnf(417,plain,
    ( ~ coll(skc8,skc9,u)
    | coll(u,skc7,skc8) ),
    inference(res,[status(thm),theory(equality)],[266,24]),
    [iquote('0:Res:266.0,24.0')] ).

cnf(439,plain,
    ( ~ coll(skc12,skc12,u)
    | coll(u,skc10,skc12) ),
    inference(res,[status(thm),theory(equality)],[383,24]),
    [iquote('0:Res:383.0,24.0')] ).

cnf(489,plain,
    coll(skc12,skc12,skc7),
    inference(res,[status(thm),theory(equality)],[246,407]),
    [iquote('0:Res:246.0,407.0')] ).

cnf(490,plain,
    coll(skc10,skc12,skc7),
    inference(res,[status(thm),theory(equality)],[253,407]),
    [iquote('0:Res:253.0,407.0')] ).

cnf(492,plain,
    coll(skc12,skc7,skc12),
    inference(res,[status(thm),theory(equality)],[489,7]),
    [iquote('0:Res:489.0,7.0')] ).

cnf(495,plain,
    coll(skc10,skc7,skc12),
    inference(res,[status(thm),theory(equality)],[490,7]),
    [iquote('0:Res:490.0,7.0')] ).

cnf(498,plain,
    ( ~ coll(skc12,skc7,u)
    | coll(u,skc12,skc12) ),
    inference(res,[status(thm),theory(equality)],[492,24]),
    [iquote('0:Res:492.0,24.0')] ).

cnf(501,plain,
    coll(skc12,skc11,skc10),
    inference(res,[status(thm),theory(equality)],[495,406]),
    [iquote('0:Res:495.0,406.0')] ).

cnf(518,plain,
    coll(skc11,skc12,skc10),
    inference(res,[status(thm),theory(equality)],[501,8]),
    [iquote('0:Res:501.0,8.0')] ).

cnf(537,plain,
    coll(skc11,skc10,skc12),
    inference(res,[status(thm),theory(equality)],[518,7]),
    [iquote('0:Res:518.0,7.0')] ).

cnf(817,plain,
    coll(skc7,skc7,skc9),
    inference(res,[status(thm),theory(equality)],[122,416]),
    [iquote('0:Res:122.0,416.0')] ).

cnf(819,plain,
    coll(skc9,skc12,skc7),
    inference(res,[status(thm),theory(equality)],[817,407]),
    [iquote('0:Res:817.0,407.0')] ).

cnf(824,plain,
    coll(skc9,skc7,skc12),
    inference(res,[status(thm),theory(equality)],[819,7]),
    [iquote('0:Res:819.0,7.0')] ).

cnf(830,plain,
    coll(skc8,skc12,skc9),
    inference(res,[status(thm),theory(equality)],[824,121]),
    [iquote('0:Res:824.0,121.0')] ).

cnf(847,plain,
    coll(skc8,skc9,skc12),
    inference(res,[status(thm),theory(equality)],[830,7]),
    [iquote('0:Res:830.0,7.0')] ).

cnf(949,plain,
    coll(skc12,skc7,skc8),
    inference(res,[status(thm),theory(equality)],[847,417]),
    [iquote('0:Res:847.0,417.0')] ).

cnf(1061,plain,
    eqangle(skc13,skc11,skc10,skc12,u,v,u,v),
    inference(res,[status(thm),theory(equality)],[214,55]),
    [iquote('0:Res:214.0,55.0')] ).

cnf(1065,plain,
    ( ~ para(u,v,w,x)
    | eqangle(u,v,w,x,y,z,y,z) ),
    inference(res,[status(thm),theory(equality)],[32,55]),
    [iquote('0:Res:32.1,55.0')] ).

cnf(1382,plain,
    ( ~ midp(u,skc12,skc12)
    | ~ para(skc12,skc10,skc12,skc10)
    | midp(u,skc10,skc10) ),
    inference(res,[status(thm),theory(equality)],[387,86]),
    [iquote('0:Res:387.0,86.1')] ).

cnf(1389,plain,
    ( ~ midp(u,skc12,skc12)
    | midp(u,skc10,skc10) ),
    inference(mrr,[status(thm)],[1382,387]),
    [iquote('0:MRR:1382.1,387.0')] ).

cnf(1831,plain,
    coll(skc8,skc12,skc12),
    inference(res,[status(thm),theory(equality)],[949,498]),
    [iquote('0:Res:949.0,498.0')] ).

cnf(1843,plain,
    coll(skc12,skc8,skc12),
    inference(res,[status(thm),theory(equality)],[1831,8]),
    [iquote('0:Res:1831.0,8.0')] ).

cnf(1848,plain,
    coll(skc12,skc12,skc8),
    inference(res,[status(thm),theory(equality)],[1843,7]),
    [iquote('0:Res:1843.0,7.0')] ).

cnf(1865,plain,
    ( ~ coll(skc12,skc12,u)
    | coll(u,skc8,skc12) ),
    inference(res,[status(thm),theory(equality)],[1848,24]),
    [iquote('0:Res:1848.0,24.0')] ).

cnf(2420,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)],[33,119]),
    [iquote('0:Res:33.1,119.3')] ).

cnf(2425,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)],[2420]),
    [iquote('0:Obv:2420.0')] ).

cnf(2426,plain,
    ( ~ cyclic(u,v,w,u)
    | ~ cyclic(u,v,w,v)
    | cong(u,v,u,v) ),
    inference(con,[status(thm)],[2425]),
    [iquote('0:Con:2425.2')] ).

cnf(2457,plain,
    para(skc9,skc12,skc9,skc12),
    inference(res,[status(thm),theory(equality)],[197,198]),
    [iquote('0:Res:197.0,198.0')] ).

cnf(2469,plain,
    ( ~ midp(u,skc9,skc9)
    | ~ para(skc9,skc12,skc9,skc12)
    | midp(u,skc12,skc12) ),
    inference(res,[status(thm),theory(equality)],[2457,86]),
    [iquote('0:Res:2457.0,86.1')] ).

cnf(2473,plain,
    ( ~ midp(u,skc9,skc9)
    | midp(u,skc12,skc12) ),
    inference(mrr,[status(thm)],[2469,2457]),
    [iquote('0:MRR:2469.1,2457.0')] ).

cnf(3733,plain,
    ( ~ para(u,v,u,v)
    | coll(u,w,v)
    | cyclic(v,v,u,w) ),
    inference(res,[status(thm),theory(equality)],[1065,60]),
    [iquote('0:Res:1065.1,60.0')] ).

cnf(3738,plain,
    ( ~ para(u,v,u,v)
    | ~ coll(u,w,v)
    | cyclic(v,v,u,w) ),
    inference(res,[status(thm),theory(equality)],[1065,77]),
    [iquote('0:Res:1065.1,77.1')] ).

cnf(3750,plain,
    ( ~ para(u,v,u,v)
    | cyclic(v,v,u,w) ),
    inference(mrr,[status(thm)],[3738,3733]),
    [iquote('0:MRR:3738.1,3733.1')] ).

cnf(5130,plain,
    ( ~ midp(u,skc9,skc9)
    | midp(u,skc10,skc10) ),
    inference(res,[status(thm),theory(equality)],[2473,1389]),
    [iquote('0:Res:2473.1,1389.0')] ).

cnf(5300,plain,
    ( ~ midp(skc13,skc9,skc9)
    | ~ coll(skc11,skc10,skc12)
    | midp(skc11,skc10,skc12) ),
    inference(res,[status(thm),theory(equality)],[5130,219]),
    [iquote('0:Res:5130.1,219.1')] ).

cnf(5301,plain,
    ( ~ midp(skc13,skc9,skc9)
    | midp(skc11,skc10,skc12) ),
    inference(mrr,[status(thm)],[5300,537]),
    [iquote('0:MRR:5300.1,537.0')] ).

cnf(5308,plain,
    eqangle(u,v,u,v,skc13,skc11,skc10,skc12),
    inference(res,[status(thm),theory(equality)],[1061,54]),
    [iquote('0:Res:1061.0,54.0')] ).

cnf(5915,plain,
    para(u,v,u,v),
    inference(res,[status(thm),theory(equality)],[5308,225]),
    [iquote('0:Res:5308.0,225.0')] ).

cnf(5921,plain,
    cyclic(u,u,v,w),
    inference(mrr,[status(thm)],[3750,5915]),
    [iquote('0:MRR:3750.0,5915.0')] ).

cnf(5940,plain,
    coll(u,v,v),
    inference(res,[status(thm),theory(equality)],[5915,11]),
    [iquote('0:Res:5915.0,11.0')] ).

cnf(6248,plain,
    coll(u,v,u),
    inference(res,[status(thm),theory(equality)],[5940,8]),
    [iquote('0:Res:5940.0,8.0')] ).

cnf(6579,plain,
    coll(u,u,v),
    inference(res,[status(thm),theory(equality)],[6248,7]),
    [iquote('0:Res:6248.0,7.0')] ).

cnf(6607,plain,
    coll(u,skc10,skc12),
    inference(mrr,[status(thm)],[439,6579]),
    [iquote('0:MRR:439.0,6579.0')] ).

cnf(6612,plain,
    coll(u,skc8,skc12),
    inference(mrr,[status(thm)],[1865,6579]),
    [iquote('0:MRR:1865.0,6579.0')] ).

cnf(6732,plain,
    coll(skc10,u,skc12),
    inference(res,[status(thm),theory(equality)],[6607,8]),
    [iquote('0:Res:6607.0,8.0')] ).

cnf(6760,plain,
    coll(skc8,u,skc12),
    inference(res,[status(thm),theory(equality)],[6612,8]),
    [iquote('0:Res:6612.0,8.0')] ).

cnf(6761,plain,
    ( ~ midp(skc13,u,skc9)
    | midp(skc8,u,skc12) ),
    inference(mrr,[status(thm)],[200,6760]),
    [iquote('0:MRR:200.0,6760.0')] ).

cnf(6906,plain,
    coll(skc10,skc12,u),
    inference(res,[status(thm),theory(equality)],[6732,7]),
    [iquote('0:Res:6732.0,7.0')] ).

cnf(7081,plain,
    ( ~ coll(skc10,skc12,u)
    | coll(u,v,skc10) ),
    inference(res,[status(thm),theory(equality)],[6906,24]),
    [iquote('0:Res:6906.0,24.0')] ).

cnf(7084,plain,
    coll(u,v,skc10),
    inference(mrr,[status(thm)],[7081,6906]),
    [iquote('0:MRR:7081.0,6906.0')] ).

cnf(7251,plain,
    coll(u,skc10,v),
    inference(res,[status(thm),theory(equality)],[7084,7]),
    [iquote('0:Res:7084.0,7.0')] ).

cnf(7317,plain,
    ( ~ coll(u,skc10,v)
    | coll(v,w,u) ),
    inference(res,[status(thm),theory(equality)],[7251,24]),
    [iquote('0:Res:7251.0,24.0')] ).

cnf(7323,plain,
    coll(u,v,w),
    inference(mrr,[status(thm)],[7317,7251]),
    [iquote('0:MRR:7317.0,7251.0')] ).

cnf(7324,plain,
    ( ~ cong(u,v,u,w)
    | midp(u,v,w) ),
    inference(mrr,[status(thm)],[37,7323]),
    [iquote('0:MRR:37.0,7323.0')] ).

cnf(7377,plain,
    ( ~ cyclic(u,u,v,w)
    | cyclic(u,v,w,x) ),
    inference(res,[status(thm),theory(equality)],[5921,45]),
    [iquote('0:Res:5921.0,45.0')] ).

cnf(7393,plain,
    cyclic(u,v,w,x),
    inference(mrr,[status(thm)],[7377,5921]),
    [iquote('0:MRR:7377.0,5921.0')] ).

cnf(7406,plain,
    cong(u,v,u,v),
    inference(mrr,[status(thm)],[2426,7393]),
    [iquote('0:MRR:2426.1,2426.0,7393.0')] ).

cnf(7540,plain,
    midp(u,v,v),
    inference(res,[status(thm),theory(equality)],[7406,7324]),
    [iquote('0:Res:7406.0,7324.0')] ).

cnf(7552,plain,
    midp(skc11,skc10,skc12),
    inference(mrr,[status(thm)],[5301,7540]),
    [iquote('0:MRR:5301.0,7540.0')] ).

cnf(7581,plain,
    midp(skc11,skc12,skc10),
    inference(res,[status(thm),theory(equality)],[7552,9]),
    [iquote('0:Res:7552.0,9.0')] ).

cnf(7586,plain,
    ~ midp(skc8,skc12,skc9),
    inference(res,[status(thm),theory(equality)],[7581,235]),
    [iquote('0:Res:7581.0,235.1')] ).

cnf(7591,plain,
    midp(skc8,skc9,skc12),
    inference(res,[status(thm),theory(equality)],[7540,6761]),
    [iquote('0:Res:7540.0,6761.0')] ).

cnf(7597,plain,
    midp(skc8,skc12,skc9),
    inference(res,[status(thm),theory(equality)],[7591,9]),
    [iquote('0:Res:7591.0,9.0')] ).

cnf(7598,plain,
    $false,
    inference(mrr,[status(thm)],[7597,7586]),
    [iquote('0:MRR:7597.0,7586.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO657+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 01:38:13 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 1.81/2.01  
% 1.81/2.01  SPASS V 3.9 
% 1.81/2.01  SPASS beiseite: Proof found.
% 1.81/2.01  % SZS status Theorem
% 1.81/2.01  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.81/2.01  SPASS derived 7367 clauses, backtracked 0 clauses, performed 0 splits and kept 3159 clauses.
% 1.81/2.01  SPASS allocated 89356 KBytes.
% 1.81/2.01  SPASS spent	0:00:01.64 on the problem.
% 1.81/2.01  		0:00:00.05 for the input.
% 1.81/2.01  		0:00:00.30 for the FLOTTER CNF translation.
% 1.81/2.01  		0:00:00.10 for inferences.
% 1.81/2.01  		0:00:00.00 for the backtracking.
% 1.81/2.01  		0:00:01.06 for the reduction.
% 1.81/2.01  
% 1.81/2.01  
% 1.81/2.01  Here is a proof with depth 13, length 119 :
% 1.81/2.01  % SZS output start Refutation
% See solution above
% 1.81/2.02  Formulae used in the proof : exemplo6GDDFULLmoreE02315 ruleD1 ruleD2 ruleD11 ruleD66 ruleD4 ruleD5 ruleD3 ruleD40 ruleD41 ruleD44 ruleD67 ruleD6 ruleD17 ruleD20 ruleD21 ruleD42a ruleD45 ruleD42b ruleD73 ruleD64 ruleD43
% 1.81/2.02  
%------------------------------------------------------------------------------