%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ015-2.006 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:59:51 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.40s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 224
% Syntax : Number of formulae : 559 ( 10 unt; 60 def)
% Number of atoms : 1234 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 1470 ( 795 ~; 615 |; 0 &)
% ( 60 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 121 ( 120 usr; 121 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
~ vertical_1_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ horizontal_6_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ vertical_5_6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( horizontal_1_1
| vertical_1_2
| horizontal_1_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( horizontal_1_2
| vertical_1_3
| horizontal_1_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( horizontal_1_3
| vertical_1_4
| horizontal_1_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( horizontal_1_4
| vertical_1_5
| horizontal_1_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( horizontal_1_5
| vertical_1_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( vertical_1_1
| vertical_2_1
| horizontal_2_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( vertical_1_3
| horizontal_2_2
| vertical_2_3
| horizontal_2_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( vertical_1_4
| horizontal_2_3
| vertical_2_4
| horizontal_2_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( vertical_1_5
| horizontal_2_4
| vertical_2_5
| horizontal_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( vertical_1_6
| horizontal_2_5
| vertical_2_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( vertical_2_1
| vertical_3_1
| horizontal_3_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( vertical_2_2
| horizontal_3_1
| vertical_3_2
| horizontal_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( vertical_2_3
| horizontal_3_2
| vertical_3_3
| horizontal_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( vertical_2_4
| horizontal_3_3
| vertical_3_4
| horizontal_3_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( vertical_2_5
| horizontal_3_4
| vertical_3_5
| horizontal_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( vertical_2_6
| horizontal_3_5
| vertical_3_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( vertical_3_1
| vertical_4_1
| horizontal_4_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( vertical_3_2
| horizontal_4_1
| vertical_4_2
| horizontal_4_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( vertical_3_3
| horizontal_4_2
| vertical_4_3
| horizontal_4_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( vertical_3_5
| horizontal_4_4
| vertical_4_5
| horizontal_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( vertical_3_6
| horizontal_4_5
| vertical_4_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( vertical_4_1
| vertical_5_1
| horizontal_5_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( vertical_4_2
| horizontal_5_1
| vertical_5_2
| horizontal_5_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( vertical_4_3
| horizontal_5_2
| vertical_5_3
| horizontal_5_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( vertical_4_4
| horizontal_5_3
| vertical_5_4
| horizontal_5_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( vertical_4_6
| horizontal_5_5
| vertical_5_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( vertical_5_1
| horizontal_6_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( vertical_5_2
| horizontal_6_1
| horizontal_6_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( vertical_5_3
| horizontal_6_2
| horizontal_6_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( vertical_5_4
| horizontal_6_3
| horizontal_6_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( vertical_5_5
| horizontal_6_4
| horizontal_6_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( ~ horizontal_1_1
| ~ horizontal_1_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( ~ vertical_1_3
| ~ horizontal_1_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( ~ horizontal_1_2
| ~ horizontal_1_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( ~ horizontal_1_2
| ~ vertical_1_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_1_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( ~ horizontal_1_3
| ~ horizontal_1_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( ~ horizontal_1_3
| ~ vertical_1_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( ~ vertical_1_5
| ~ horizontal_1_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( ~ horizontal_1_4
| ~ horizontal_1_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( ~ horizontal_1_4
| ~ vertical_1_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( ~ horizontal_1_5
| ~ vertical_1_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
( ~ vertical_2_1
| ~ horizontal_2_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
( ~ horizontal_2_1
| ~ horizontal_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
( ~ horizontal_2_1
| ~ vertical_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
( ~ vertical_1_2
| ~ vertical_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
( ~ vertical_1_2
| ~ horizontal_2_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_2_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
( ~ vertical_1_3
| ~ horizontal_2_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,negated_conjecture,
( ~ vertical_1_3
| ~ vertical_2_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_2_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
( ~ horizontal_2_3
| ~ horizontal_2_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_2_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,negated_conjecture,
( ~ horizontal_2_3
| ~ vertical_2_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,negated_conjecture,
( ~ vertical_1_4
| ~ vertical_2_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,negated_conjecture,
( ~ vertical_1_4
| ~ horizontal_2_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,negated_conjecture,
( ~ horizontal_2_4
| ~ horizontal_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,negated_conjecture,
( ~ horizontal_2_4
| ~ vertical_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f77,negated_conjecture,
( ~ vertical_1_5
| ~ vertical_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f78,negated_conjecture,
( ~ vertical_1_5
| ~ horizontal_2_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f79,negated_conjecture,
( ~ horizontal_2_5
| ~ vertical_2_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,negated_conjecture,
( ~ vertical_1_6
| ~ vertical_2_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,negated_conjecture,
( ~ vertical_1_6
| ~ horizontal_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f82,negated_conjecture,
( ~ vertical_3_1
| ~ horizontal_3_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,negated_conjecture,
( ~ vertical_2_1
| ~ horizontal_3_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f84,negated_conjecture,
( ~ vertical_2_1
| ~ vertical_3_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f85,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f86,negated_conjecture,
( ~ horizontal_3_1
| ~ horizontal_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f87,negated_conjecture,
( ~ vertical_2_2
| ~ horizontal_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f88,negated_conjecture,
( ~ horizontal_3_1
| ~ vertical_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
( ~ horizontal_3_2
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
( ~ horizontal_3_2
| ~ vertical_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,negated_conjecture,
( ~ vertical_2_3
| ~ vertical_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
( ~ vertical_2_3
| ~ horizontal_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_3_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f98,negated_conjecture,
( ~ horizontal_3_3
| ~ horizontal_3_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f99,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_3_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,negated_conjecture,
( ~ horizontal_3_3
| ~ vertical_3_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f101,negated_conjecture,
( ~ vertical_2_4
| ~ vertical_3_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f102,negated_conjecture,
( ~ vertical_2_4
| ~ horizontal_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f103,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f104,negated_conjecture,
( ~ horizontal_3_4
| ~ horizontal_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f105,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f106,negated_conjecture,
( ~ horizontal_3_4
| ~ vertical_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f107,negated_conjecture,
( ~ vertical_2_5
| ~ vertical_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f108,negated_conjecture,
( ~ vertical_2_5
| ~ horizontal_3_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f109,negated_conjecture,
( ~ horizontal_3_5
| ~ vertical_3_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f110,negated_conjecture,
( ~ vertical_2_6
| ~ vertical_3_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f111,negated_conjecture,
( ~ vertical_2_6
| ~ horizontal_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f112,negated_conjecture,
( ~ vertical_4_1
| ~ horizontal_4_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
( ~ vertical_3_1
| ~ horizontal_4_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
( ~ vertical_3_1
| ~ vertical_4_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,negated_conjecture,
( ~ vertical_4_2
| ~ horizontal_4_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f116,negated_conjecture,
( ~ horizontal_4_1
| ~ horizontal_4_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f117,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_4_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f118,negated_conjecture,
( ~ horizontal_4_1
| ~ vertical_4_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f119,negated_conjecture,
( ~ vertical_3_2
| ~ vertical_4_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f120,negated_conjecture,
( ~ vertical_3_2
| ~ horizontal_4_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f121,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_4_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f122,negated_conjecture,
( ~ horizontal_4_2
| ~ horizontal_4_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f123,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_4_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f124,negated_conjecture,
( ~ horizontal_4_2
| ~ vertical_4_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f125,negated_conjecture,
( ~ vertical_3_3
| ~ vertical_4_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f126,negated_conjecture,
( ~ vertical_3_3
| ~ horizontal_4_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f127,negated_conjecture,
( ~ vertical_4_4
| ~ horizontal_4_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f128,negated_conjecture,
( ~ horizontal_4_3
| ~ horizontal_4_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f129,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_4_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f130,negated_conjecture,
( ~ horizontal_4_3
| ~ vertical_4_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f131,negated_conjecture,
( ~ vertical_3_4
| ~ vertical_4_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f132,negated_conjecture,
( ~ vertical_3_4
| ~ horizontal_4_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f133,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f134,negated_conjecture,
( ~ horizontal_4_4
| ~ horizontal_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f135,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f136,negated_conjecture,
( ~ horizontal_4_4
| ~ vertical_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f137,negated_conjecture,
( ~ vertical_3_5
| ~ vertical_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f138,negated_conjecture,
( ~ vertical_3_5
| ~ horizontal_4_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f139,negated_conjecture,
( ~ horizontal_4_5
| ~ vertical_4_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f140,negated_conjecture,
( ~ vertical_3_6
| ~ vertical_4_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f141,negated_conjecture,
( ~ vertical_3_6
| ~ horizontal_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f142,negated_conjecture,
( ~ vertical_5_1
| ~ horizontal_5_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f143,negated_conjecture,
( ~ vertical_4_1
| ~ horizontal_5_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f144,negated_conjecture,
( ~ vertical_4_1
| ~ vertical_5_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f145,negated_conjecture,
( ~ vertical_5_2
| ~ horizontal_5_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f146,negated_conjecture,
( ~ horizontal_5_1
| ~ horizontal_5_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f147,negated_conjecture,
( ~ vertical_4_2
| ~ horizontal_5_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f148,negated_conjecture,
( ~ horizontal_5_1
| ~ vertical_5_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f149,negated_conjecture,
( ~ vertical_4_2
| ~ vertical_5_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f150,negated_conjecture,
( ~ vertical_4_2
| ~ horizontal_5_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f151,negated_conjecture,
( ~ vertical_5_3
| ~ horizontal_5_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f152,negated_conjecture,
( ~ horizontal_5_2
| ~ horizontal_5_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f153,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_5_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f154,negated_conjecture,
( ~ horizontal_5_2
| ~ vertical_5_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f155,negated_conjecture,
( ~ vertical_4_3
| ~ vertical_5_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f156,negated_conjecture,
( ~ vertical_4_3
| ~ horizontal_5_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f157,negated_conjecture,
( ~ vertical_5_4
| ~ horizontal_5_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f159,negated_conjecture,
( ~ vertical_4_4
| ~ horizontal_5_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f161,negated_conjecture,
( ~ vertical_4_4
| ~ vertical_5_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f162,negated_conjecture,
( ~ vertical_4_4
| ~ horizontal_5_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f163,negated_conjecture,
( ~ vertical_5_5
| ~ horizontal_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f164,negated_conjecture,
( ~ horizontal_5_4
| ~ horizontal_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f165,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f166,negated_conjecture,
( ~ horizontal_5_4
| ~ vertical_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f167,negated_conjecture,
( ~ vertical_4_5
| ~ vertical_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f168,negated_conjecture,
( ~ vertical_4_5
| ~ horizontal_5_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f171,negated_conjecture,
( ~ vertical_4_6
| ~ horizontal_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f172,negated_conjecture,
( ~ vertical_5_1
| ~ horizontal_6_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f173,negated_conjecture,
( ~ horizontal_6_1
| ~ horizontal_6_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f174,negated_conjecture,
( ~ vertical_5_2
| ~ horizontal_6_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f175,negated_conjecture,
( ~ vertical_5_2
| ~ horizontal_6_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f176,negated_conjecture,
( ~ horizontal_6_2
| ~ horizontal_6_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f177,negated_conjecture,
( ~ vertical_5_3
| ~ horizontal_6_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f178,negated_conjecture,
( ~ vertical_5_3
| ~ horizontal_6_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f179,negated_conjecture,
( ~ horizontal_6_3
| ~ horizontal_6_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f180,negated_conjecture,
( ~ vertical_5_4
| ~ horizontal_6_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f181,negated_conjecture,
( ~ vertical_5_4
| ~ horizontal_6_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f184,negated_conjecture,
( ~ vertical_5_5
| ~ horizontal_6_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f186,plain,
~ vertical_1_1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f187,plain,
~ horizontal_6_5,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f188,plain,
~ vertical_5_6,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f189,plain,
( horizontal_1_1
| vertical_1_2
| horizontal_1_2 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f190,plain,
( horizontal_1_2
| vertical_1_3
| horizontal_1_3 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f191,plain,
( horizontal_1_3
| vertical_1_4
| horizontal_1_4 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f192,plain,
( horizontal_1_4
| vertical_1_5
| horizontal_1_5 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f193,plain,
( horizontal_1_5
| vertical_1_6 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f194,plain,
( vertical_1_1
| vertical_2_1
| horizontal_2_1 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f196,plain,
( vertical_1_3
| horizontal_2_2
| vertical_2_3
| horizontal_2_3 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f197,plain,
( vertical_1_4
| horizontal_2_3
| vertical_2_4
| horizontal_2_4 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f198,plain,
( vertical_1_5
| horizontal_2_4
| vertical_2_5
| horizontal_2_5 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f199,plain,
( vertical_1_6
| horizontal_2_5
| vertical_2_6 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f200,plain,
( vertical_2_1
| vertical_3_1
| horizontal_3_1 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f201,plain,
( vertical_2_2
| horizontal_3_1
| vertical_3_2
| horizontal_3_2 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f202,plain,
( vertical_2_3
| horizontal_3_2
| vertical_3_3
| horizontal_3_3 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f203,plain,
( vertical_2_4
| horizontal_3_3
| vertical_3_4
| horizontal_3_4 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f204,plain,
( vertical_2_5
| horizontal_3_4
| vertical_3_5
| horizontal_3_5 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f205,plain,
( vertical_2_6
| horizontal_3_5
| vertical_3_6 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f206,plain,
( vertical_3_1
| vertical_4_1
| horizontal_4_1 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f207,plain,
( vertical_3_2
| horizontal_4_1
| vertical_4_2
| horizontal_4_2 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f208,plain,
( vertical_3_3
| horizontal_4_2
| vertical_4_3
| horizontal_4_3 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f210,plain,
( vertical_3_5
| horizontal_4_4
| vertical_4_5
| horizontal_4_5 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f211,plain,
( vertical_3_6
| horizontal_4_5
| vertical_4_6 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f212,plain,
( vertical_4_1
| vertical_5_1
| horizontal_5_1 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f213,plain,
( vertical_4_2
| horizontal_5_1
| vertical_5_2
| horizontal_5_2 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f214,plain,
( vertical_4_3
| horizontal_5_2
| vertical_5_3
| horizontal_5_3 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f215,plain,
( vertical_4_4
| horizontal_5_3
| vertical_5_4
| horizontal_5_4 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f217,plain,
( vertical_4_6
| horizontal_5_5
| vertical_5_6 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f218,plain,
( vertical_5_1
| horizontal_6_1 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f219,plain,
( vertical_5_2
| horizontal_6_1
| horizontal_6_2 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f220,plain,
( vertical_5_3
| horizontal_6_2
| horizontal_6_3 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f221,plain,
( vertical_5_4
| horizontal_6_3
| horizontal_6_4 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f222,plain,
( vertical_5_5
| horizontal_6_4
| horizontal_6_5 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f224,plain,
( ~ horizontal_1_1
| ~ horizontal_1_2 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f226,plain,
( ~ vertical_1_3
| ~ horizontal_1_3 ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f227,plain,
( ~ horizontal_1_2
| ~ horizontal_1_3 ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f228,plain,
( ~ horizontal_1_2
| ~ vertical_1_3 ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f229,plain,
( ~ vertical_1_4
| ~ horizontal_1_4 ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f230,plain,
( ~ horizontal_1_3
| ~ horizontal_1_4 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f231,plain,
( ~ horizontal_1_3
| ~ vertical_1_4 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f232,plain,
( ~ vertical_1_5
| ~ horizontal_1_5 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f233,plain,
( ~ horizontal_1_4
| ~ horizontal_1_5 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f234,plain,
( ~ horizontal_1_4
| ~ vertical_1_5 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f235,plain,
( ~ horizontal_1_5
| ~ vertical_1_6 ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f236,plain,
( ~ vertical_2_1
| ~ horizontal_2_1 ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f239,plain,
( ~ vertical_2_2
| ~ horizontal_2_2 ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f240,plain,
( ~ horizontal_2_1
| ~ horizontal_2_2 ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f241,plain,
( ~ vertical_1_2
| ~ horizontal_2_2 ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f242,plain,
( ~ horizontal_2_1
| ~ vertical_2_2 ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f243,plain,
( ~ vertical_1_2
| ~ vertical_2_2 ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f244,plain,
( ~ vertical_1_2
| ~ horizontal_2_1 ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f245,plain,
( ~ vertical_2_3
| ~ horizontal_2_3 ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f247,plain,
( ~ vertical_1_3
| ~ horizontal_2_3 ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f249,plain,
( ~ vertical_1_3
| ~ vertical_2_3 ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f251,plain,
( ~ vertical_2_4
| ~ horizontal_2_4 ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f252,plain,
( ~ horizontal_2_3
| ~ horizontal_2_4 ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f253,plain,
( ~ vertical_1_4
| ~ horizontal_2_4 ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f254,plain,
( ~ horizontal_2_3
| ~ vertical_2_4 ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f255,plain,
( ~ vertical_1_4
| ~ vertical_2_4 ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f256,plain,
( ~ vertical_1_4
| ~ horizontal_2_3 ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f257,plain,
( ~ vertical_2_5
| ~ horizontal_2_5 ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f258,plain,
( ~ horizontal_2_4
| ~ horizontal_2_5 ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f260,plain,
( ~ horizontal_2_4
| ~ vertical_2_5 ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f261,plain,
( ~ vertical_1_5
| ~ vertical_2_5 ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f262,plain,
( ~ vertical_1_5
| ~ horizontal_2_4 ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f263,plain,
( ~ horizontal_2_5
| ~ vertical_2_6 ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f264,plain,
( ~ vertical_1_6
| ~ vertical_2_6 ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f265,plain,
( ~ vertical_1_6
| ~ horizontal_2_5 ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f266,plain,
( ~ vertical_3_1
| ~ horizontal_3_1 ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f267,plain,
( ~ vertical_2_1
| ~ horizontal_3_1 ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f268,plain,
( ~ vertical_2_1
| ~ vertical_3_1 ),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f269,plain,
( ~ vertical_3_2
| ~ horizontal_3_2 ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f270,plain,
( ~ horizontal_3_1
| ~ horizontal_3_2 ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f271,plain,
( ~ vertical_2_2
| ~ horizontal_3_2 ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f272,plain,
( ~ horizontal_3_1
| ~ vertical_3_2 ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f275,plain,
( ~ vertical_3_3
| ~ horizontal_3_3 ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f276,plain,
( ~ horizontal_3_2
| ~ horizontal_3_3 ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f277,plain,
( ~ vertical_2_3
| ~ horizontal_3_3 ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f278,plain,
( ~ horizontal_3_2
| ~ vertical_3_3 ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f279,plain,
( ~ vertical_2_3
| ~ vertical_3_3 ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f280,plain,
( ~ vertical_2_3
| ~ horizontal_3_2 ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f281,plain,
( ~ vertical_3_4
| ~ horizontal_3_4 ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f282,plain,
( ~ horizontal_3_3
| ~ horizontal_3_4 ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f283,plain,
( ~ vertical_2_4
| ~ horizontal_3_4 ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f284,plain,
( ~ horizontal_3_3
| ~ vertical_3_4 ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f285,plain,
( ~ vertical_2_4
| ~ vertical_3_4 ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f286,plain,
( ~ vertical_2_4
| ~ horizontal_3_3 ),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f287,plain,
( ~ vertical_3_5
| ~ horizontal_3_5 ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f288,plain,
( ~ horizontal_3_4
| ~ horizontal_3_5 ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f289,plain,
( ~ vertical_2_5
| ~ horizontal_3_5 ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f290,plain,
( ~ horizontal_3_4
| ~ vertical_3_5 ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f291,plain,
( ~ vertical_2_5
| ~ vertical_3_5 ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f292,plain,
( ~ vertical_2_5
| ~ horizontal_3_4 ),
inference(cnf_transformation,[status(thm)],[f108]) ).
fof(f293,plain,
( ~ horizontal_3_5
| ~ vertical_3_6 ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f294,plain,
( ~ vertical_2_6
| ~ vertical_3_6 ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f295,plain,
( ~ vertical_2_6
| ~ horizontal_3_5 ),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f296,plain,
( ~ vertical_4_1
| ~ horizontal_4_1 ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f297,plain,
( ~ vertical_3_1
| ~ horizontal_4_1 ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f298,plain,
( ~ vertical_3_1
| ~ vertical_4_1 ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f299,plain,
( ~ vertical_4_2
| ~ horizontal_4_2 ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f300,plain,
( ~ horizontal_4_1
| ~ horizontal_4_2 ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f301,plain,
( ~ vertical_3_2
| ~ horizontal_4_2 ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f302,plain,
( ~ horizontal_4_1
| ~ vertical_4_2 ),
inference(cnf_transformation,[status(thm)],[f118]) ).
fof(f303,plain,
( ~ vertical_3_2
| ~ vertical_4_2 ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f304,plain,
( ~ vertical_3_2
| ~ horizontal_4_1 ),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f305,plain,
( ~ vertical_4_3
| ~ horizontal_4_3 ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f306,plain,
( ~ horizontal_4_2
| ~ horizontal_4_3 ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f307,plain,
( ~ vertical_3_3
| ~ horizontal_4_3 ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f308,plain,
( ~ horizontal_4_2
| ~ vertical_4_3 ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f309,plain,
( ~ vertical_3_3
| ~ vertical_4_3 ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f310,plain,
( ~ vertical_3_3
| ~ horizontal_4_2 ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f311,plain,
( ~ vertical_4_4
| ~ horizontal_4_4 ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f312,plain,
( ~ horizontal_4_3
| ~ horizontal_4_4 ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f313,plain,
( ~ vertical_3_4
| ~ horizontal_4_4 ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f314,plain,
( ~ horizontal_4_3
| ~ vertical_4_4 ),
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f315,plain,
( ~ vertical_3_4
| ~ vertical_4_4 ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f316,plain,
( ~ vertical_3_4
| ~ horizontal_4_3 ),
inference(cnf_transformation,[status(thm)],[f132]) ).
fof(f317,plain,
( ~ vertical_4_5
| ~ horizontal_4_5 ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f318,plain,
( ~ horizontal_4_4
| ~ horizontal_4_5 ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f319,plain,
( ~ vertical_3_5
| ~ horizontal_4_5 ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f320,plain,
( ~ horizontal_4_4
| ~ vertical_4_5 ),
inference(cnf_transformation,[status(thm)],[f136]) ).
fof(f321,plain,
( ~ vertical_3_5
| ~ vertical_4_5 ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f322,plain,
( ~ vertical_3_5
| ~ horizontal_4_4 ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f323,plain,
( ~ horizontal_4_5
| ~ vertical_4_6 ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f324,plain,
( ~ vertical_3_6
| ~ vertical_4_6 ),
inference(cnf_transformation,[status(thm)],[f140]) ).
fof(f325,plain,
( ~ vertical_3_6
| ~ horizontal_4_5 ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f326,plain,
( ~ vertical_5_1
| ~ horizontal_5_1 ),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f327,plain,
( ~ vertical_4_1
| ~ horizontal_5_1 ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f328,plain,
( ~ vertical_4_1
| ~ vertical_5_1 ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f329,plain,
( ~ vertical_5_2
| ~ horizontal_5_2 ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f330,plain,
( ~ horizontal_5_1
| ~ horizontal_5_2 ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f331,plain,
( ~ vertical_4_2
| ~ horizontal_5_2 ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f332,plain,
( ~ horizontal_5_1
| ~ vertical_5_2 ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f333,plain,
( ~ vertical_4_2
| ~ vertical_5_2 ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f334,plain,
( ~ vertical_4_2
| ~ horizontal_5_1 ),
inference(cnf_transformation,[status(thm)],[f150]) ).
fof(f335,plain,
( ~ vertical_5_3
| ~ horizontal_5_3 ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f336,plain,
( ~ horizontal_5_2
| ~ horizontal_5_3 ),
inference(cnf_transformation,[status(thm)],[f152]) ).
fof(f337,plain,
( ~ vertical_4_3
| ~ horizontal_5_3 ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f338,plain,
( ~ horizontal_5_2
| ~ vertical_5_3 ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f339,plain,
( ~ vertical_4_3
| ~ vertical_5_3 ),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f340,plain,
( ~ vertical_4_3
| ~ horizontal_5_2 ),
inference(cnf_transformation,[status(thm)],[f156]) ).
fof(f341,plain,
( ~ vertical_5_4
| ~ horizontal_5_4 ),
inference(cnf_transformation,[status(thm)],[f157]) ).
fof(f343,plain,
( ~ vertical_4_4
| ~ horizontal_5_4 ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f345,plain,
( ~ vertical_4_4
| ~ vertical_5_4 ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f346,plain,
( ~ vertical_4_4
| ~ horizontal_5_3 ),
inference(cnf_transformation,[status(thm)],[f162]) ).
fof(f347,plain,
( ~ vertical_5_5
| ~ horizontal_5_5 ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f348,plain,
( ~ horizontal_5_4
| ~ horizontal_5_5 ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f349,plain,
( ~ vertical_4_5
| ~ horizontal_5_5 ),
inference(cnf_transformation,[status(thm)],[f165]) ).
fof(f350,plain,
( ~ horizontal_5_4
| ~ vertical_5_5 ),
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f351,plain,
( ~ vertical_4_5
| ~ vertical_5_5 ),
inference(cnf_transformation,[status(thm)],[f167]) ).
fof(f352,plain,
( ~ vertical_4_5
| ~ horizontal_5_4 ),
inference(cnf_transformation,[status(thm)],[f168]) ).
fof(f355,plain,
( ~ vertical_4_6
| ~ horizontal_5_5 ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f356,plain,
( ~ vertical_5_1
| ~ horizontal_6_1 ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f357,plain,
( ~ horizontal_6_1
| ~ horizontal_6_2 ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f358,plain,
( ~ vertical_5_2
| ~ horizontal_6_2 ),
inference(cnf_transformation,[status(thm)],[f174]) ).
fof(f359,plain,
( ~ vertical_5_2
| ~ horizontal_6_1 ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f360,plain,
( ~ horizontal_6_2
| ~ horizontal_6_3 ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f361,plain,
( ~ vertical_5_3
| ~ horizontal_6_3 ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f362,plain,
( ~ vertical_5_3
| ~ horizontal_6_2 ),
inference(cnf_transformation,[status(thm)],[f178]) ).
fof(f363,plain,
( ~ horizontal_6_3
| ~ horizontal_6_4 ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f364,plain,
( ~ vertical_5_4
| ~ horizontal_6_4 ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f365,plain,
( ~ vertical_5_4
| ~ horizontal_6_3 ),
inference(cnf_transformation,[status(thm)],[f181]) ).
fof(f368,plain,
( ~ vertical_5_5
| ~ horizontal_6_4 ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f369,definition,
( sQ0_spl
<=> horizontal_1_2 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f372,definition,
( sQ1_spl
<=> vertical_1_2 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f375,definition,
( sQ2_spl
<=> horizontal_1_1 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f189,f369,f372,f375]) ).
fof(f379,definition,
( sQ3_spl
<=> horizontal_1_3 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f382,definition,
( sQ4_spl
<=> vertical_1_3 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( sQ0_spl
| sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f190,f379,f382,f369]) ).
fof(f386,definition,
( sQ5_spl
<=> horizontal_1_4 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f389,definition,
( sQ6_spl
<=> vertical_1_4 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( sQ3_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f191,f386,f389,f379]) ).
fof(f393,definition,
( sQ7_spl
<=> horizontal_1_5 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f396,definition,
( sQ8_spl
<=> vertical_1_5 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( sQ5_spl
| sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f192,f393,f396,f386]) ).
fof(f400,definition,
( sQ9_spl
<=> vertical_1_6 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( sQ7_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f193,f400,f393]) ).
fof(f404,definition,
( sQ10_spl
<=> horizontal_2_1 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f407,definition,
( sQ11_spl
<=> vertical_2_1 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f410,definition,
( sQ12_spl
<=> vertical_1_1 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f411,plain,
( ~ sQ12_spl
| vertical_1_1 ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,plain,
( sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f194,f404,f407,f410]) ).
fof(f414,definition,
( sQ13_spl
<=> horizontal_2_2 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f417,definition,
( sQ14_spl
<=> vertical_2_2 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f421,definition,
( sQ15_spl
<=> horizontal_2_3 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f424,definition,
( sQ16_spl
<=> vertical_2_3 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( sQ4_spl
| sQ13_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f196,f421,f424,f414,f382]) ).
fof(f428,definition,
( sQ17_spl
<=> horizontal_2_4 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f431,definition,
( sQ18_spl
<=> vertical_2_4 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( sQ6_spl
| sQ15_spl
| sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f197,f428,f431,f421,f389]) ).
fof(f435,definition,
( sQ19_spl
<=> horizontal_2_5 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f438,definition,
( sQ20_spl
<=> vertical_2_5 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( sQ8_spl
| sQ17_spl
| sQ20_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f198,f435,f438,f428,f396]) ).
fof(f442,definition,
( sQ21_spl
<=> vertical_2_6 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( sQ9_spl
| sQ19_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f199,f442,f435,f400]) ).
fof(f446,definition,
( sQ22_spl
<=> horizontal_3_1 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f449,definition,
( sQ23_spl
<=> vertical_3_1 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( sQ11_spl
| sQ23_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f200,f446,f449,f407]) ).
fof(f453,definition,
( sQ24_spl
<=> horizontal_3_2 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f456,definition,
( sQ25_spl
<=> vertical_3_2 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( sQ14_spl
| sQ22_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f201,f453,f456,f446,f417]) ).
fof(f460,definition,
( sQ26_spl
<=> horizontal_3_3 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f463,definition,
( sQ27_spl
<=> vertical_3_3 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( sQ16_spl
| sQ24_spl
| sQ27_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f202,f460,f463,f453,f424]) ).
fof(f467,definition,
( sQ28_spl
<=> horizontal_3_4 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f470,definition,
( sQ29_spl
<=> vertical_3_4 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( sQ18_spl
| sQ26_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f203,f467,f470,f460,f431]) ).
fof(f474,definition,
( sQ30_spl
<=> horizontal_3_5 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f477,definition,
( sQ31_spl
<=> vertical_3_5 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( sQ20_spl
| sQ28_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f204,f474,f477,f467,f438]) ).
fof(f481,definition,
( sQ32_spl
<=> vertical_3_6 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( sQ21_spl
| sQ30_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f205,f481,f474,f442]) ).
fof(f485,definition,
( sQ33_spl
<=> horizontal_4_1 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f488,definition,
( sQ34_spl
<=> vertical_4_1 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( sQ23_spl
| sQ34_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f206,f485,f488,f449]) ).
fof(f492,definition,
( sQ35_spl
<=> horizontal_4_2 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f495,definition,
( sQ36_spl
<=> vertical_4_2 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( sQ25_spl
| sQ33_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f207,f492,f495,f485,f456]) ).
fof(f499,definition,
( sQ37_spl
<=> horizontal_4_3 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f502,definition,
( sQ38_spl
<=> vertical_4_3 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( sQ27_spl
| sQ35_spl
| sQ38_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f208,f499,f502,f492,f463]) ).
fof(f506,definition,
( sQ39_spl
<=> horizontal_4_4 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f509,definition,
( sQ40_spl
<=> vertical_4_4 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f513,definition,
( sQ41_spl
<=> horizontal_4_5 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f516,definition,
( sQ42_spl
<=> vertical_4_5 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( sQ31_spl
| sQ39_spl
| sQ42_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f210,f513,f516,f506,f477]) ).
fof(f520,definition,
( sQ43_spl
<=> vertical_4_6 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( sQ32_spl
| sQ41_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f211,f520,f513,f481]) ).
fof(f524,definition,
( sQ44_spl
<=> horizontal_5_1 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f527,definition,
( sQ45_spl
<=> vertical_5_1 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( sQ34_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f212,f524,f527,f488]) ).
fof(f531,definition,
( sQ46_spl
<=> horizontal_5_2 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f534,definition,
( sQ47_spl
<=> vertical_5_2 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( sQ36_spl
| sQ44_spl
| sQ47_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f213,f531,f534,f524,f495]) ).
fof(f538,definition,
( sQ48_spl
<=> horizontal_5_3 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f541,definition,
( sQ49_spl
<=> vertical_5_3 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f544,plain,
( sQ38_spl
| sQ46_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f214,f538,f541,f531,f502]) ).
fof(f545,definition,
( sQ50_spl
<=> horizontal_5_4 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f548,definition,
( sQ51_spl
<=> vertical_5_4 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( sQ40_spl
| sQ48_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f215,f545,f548,f538,f509]) ).
fof(f552,definition,
( sQ52_spl
<=> horizontal_5_5 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f555,definition,
( sQ53_spl
<=> vertical_5_5 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f559,definition,
( sQ54_spl
<=> vertical_5_6 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f560,plain,
( ~ sQ54_spl
| vertical_5_6 ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f562,plain,
( sQ43_spl
| sQ52_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f217,f559,f552,f520]) ).
fof(f563,definition,
( sQ55_spl
<=> horizontal_6_1 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f566,plain,
( sQ45_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f218,f563,f527]) ).
fof(f567,definition,
( sQ56_spl
<=> horizontal_6_2 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f570,plain,
( sQ47_spl
| sQ55_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f219,f567,f563,f534]) ).
fof(f571,definition,
( sQ57_spl
<=> horizontal_6_3 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( sQ49_spl
| sQ56_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f220,f571,f567,f541]) ).
fof(f575,definition,
( sQ58_spl
<=> horizontal_6_4 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( sQ51_spl
| sQ57_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f221,f575,f571,f548]) ).
fof(f579,definition,
( sQ59_spl
<=> horizontal_6_5 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f580,plain,
( ~ sQ59_spl
| horizontal_6_5 ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,plain,
( sQ53_spl
| sQ58_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f222,f579,f575,f555]) ).
fof(f584,plain,
( ~ sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f224,f369,f375]) ).
fof(f586,plain,
( ~ sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f226,f379,f382]) ).
fof(f587,plain,
( ~ sQ0_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f227,f379,f369]) ).
fof(f588,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f228,f382,f369]) ).
fof(f589,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f229,f386,f389]) ).
fof(f590,plain,
( ~ sQ3_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f230,f386,f379]) ).
fof(f591,plain,
( ~ sQ3_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f231,f389,f379]) ).
fof(f592,plain,
( ~ sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f232,f393,f396]) ).
fof(f593,plain,
( ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f233,f393,f386]) ).
fof(f594,plain,
( ~ sQ5_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f234,f396,f386]) ).
fof(f595,plain,
( ~ sQ7_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f235,f400,f393]) ).
fof(f596,plain,
( ~ sQ11_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f236,f404,f407]) ).
fof(f599,plain,
( ~ sQ14_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f239,f414,f417]) ).
fof(f600,plain,
( ~ sQ10_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f240,f414,f404]) ).
fof(f601,plain,
( ~ sQ1_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f241,f414,f372]) ).
fof(f602,plain,
( ~ sQ10_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f242,f417,f404]) ).
fof(f603,plain,
( ~ sQ1_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f243,f417,f372]) ).
fof(f604,plain,
( ~ sQ1_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f244,f404,f372]) ).
fof(f605,plain,
( ~ sQ16_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f245,f421,f424]) ).
fof(f607,plain,
( ~ sQ4_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f247,f421,f382]) ).
fof(f609,plain,
( ~ sQ4_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f249,f424,f382]) ).
fof(f611,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f251,f428,f431]) ).
fof(f612,plain,
( ~ sQ15_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f252,f428,f421]) ).
fof(f613,plain,
( ~ sQ6_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f253,f428,f389]) ).
fof(f614,plain,
( ~ sQ15_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f254,f431,f421]) ).
fof(f615,plain,
( ~ sQ6_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f255,f431,f389]) ).
fof(f616,plain,
( ~ sQ6_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f256,f421,f389]) ).
fof(f617,plain,
( ~ sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f257,f435,f438]) ).
fof(f618,plain,
( ~ sQ17_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f258,f435,f428]) ).
fof(f620,plain,
( ~ sQ17_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f260,f438,f428]) ).
fof(f621,plain,
( ~ sQ8_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f261,f438,f396]) ).
fof(f622,plain,
( ~ sQ8_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f262,f428,f396]) ).
fof(f623,plain,
( ~ sQ19_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f263,f442,f435]) ).
fof(f624,plain,
( ~ sQ9_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f264,f442,f400]) ).
fof(f625,plain,
( ~ sQ9_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f265,f435,f400]) ).
fof(f626,plain,
( ~ sQ23_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f266,f446,f449]) ).
fof(f627,plain,
( ~ sQ11_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f267,f446,f407]) ).
fof(f628,plain,
( ~ sQ11_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f268,f449,f407]) ).
fof(f629,plain,
( ~ sQ25_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f269,f453,f456]) ).
fof(f630,plain,
( ~ sQ22_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f270,f453,f446]) ).
fof(f631,plain,
( ~ sQ14_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f271,f453,f417]) ).
fof(f632,plain,
( ~ sQ22_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f272,f456,f446]) ).
fof(f635,plain,
( ~ sQ27_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f275,f460,f463]) ).
fof(f636,plain,
( ~ sQ24_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f276,f460,f453]) ).
fof(f637,plain,
( ~ sQ16_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f277,f460,f424]) ).
fof(f638,plain,
( ~ sQ24_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f278,f463,f453]) ).
fof(f639,plain,
( ~ sQ16_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f279,f463,f424]) ).
fof(f640,plain,
( ~ sQ16_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f280,f453,f424]) ).
fof(f641,plain,
( ~ sQ29_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f281,f467,f470]) ).
fof(f642,plain,
( ~ sQ26_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f282,f467,f460]) ).
fof(f643,plain,
( ~ sQ18_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f283,f467,f431]) ).
fof(f644,plain,
( ~ sQ26_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f284,f470,f460]) ).
fof(f645,plain,
( ~ sQ18_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f285,f470,f431]) ).
fof(f646,plain,
( ~ sQ18_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f286,f460,f431]) ).
fof(f647,plain,
( ~ sQ31_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f287,f474,f477]) ).
fof(f648,plain,
( ~ sQ28_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f288,f474,f467]) ).
fof(f649,plain,
( ~ sQ20_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f289,f474,f438]) ).
fof(f650,plain,
( ~ sQ28_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f290,f477,f467]) ).
fof(f651,plain,
( ~ sQ20_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f291,f477,f438]) ).
fof(f652,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f292,f467,f438]) ).
fof(f653,plain,
( ~ sQ30_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f293,f481,f474]) ).
fof(f654,plain,
( ~ sQ21_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f294,f481,f442]) ).
fof(f655,plain,
( ~ sQ21_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f295,f474,f442]) ).
fof(f656,plain,
( ~ sQ34_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f296,f485,f488]) ).
fof(f657,plain,
( ~ sQ23_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f297,f485,f449]) ).
fof(f658,plain,
( ~ sQ23_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f298,f488,f449]) ).
fof(f659,plain,
( ~ sQ36_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f299,f492,f495]) ).
fof(f660,plain,
( ~ sQ33_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f300,f492,f485]) ).
fof(f661,plain,
( ~ sQ25_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f301,f492,f456]) ).
fof(f662,plain,
( ~ sQ33_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f302,f495,f485]) ).
fof(f663,plain,
( ~ sQ25_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f303,f495,f456]) ).
fof(f664,plain,
( ~ sQ25_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f304,f485,f456]) ).
fof(f665,plain,
( ~ sQ38_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f305,f499,f502]) ).
fof(f666,plain,
( ~ sQ35_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f306,f499,f492]) ).
fof(f667,plain,
( ~ sQ27_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f307,f499,f463]) ).
fof(f668,plain,
( ~ sQ35_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f308,f502,f492]) ).
fof(f669,plain,
( ~ sQ27_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f309,f502,f463]) ).
fof(f670,plain,
( ~ sQ27_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f310,f492,f463]) ).
fof(f671,plain,
( ~ sQ40_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f311,f506,f509]) ).
fof(f672,plain,
( ~ sQ37_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f312,f506,f499]) ).
fof(f673,plain,
( ~ sQ29_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f313,f506,f470]) ).
fof(f674,plain,
( ~ sQ37_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f314,f509,f499]) ).
fof(f675,plain,
( ~ sQ29_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f315,f509,f470]) ).
fof(f676,plain,
( ~ sQ29_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f316,f499,f470]) ).
fof(f677,plain,
( ~ sQ42_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f317,f513,f516]) ).
fof(f678,plain,
( ~ sQ39_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f318,f513,f506]) ).
fof(f679,plain,
( ~ sQ31_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f319,f513,f477]) ).
fof(f680,plain,
( ~ sQ39_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f320,f516,f506]) ).
fof(f681,plain,
( ~ sQ31_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f321,f516,f477]) ).
fof(f682,plain,
( ~ sQ31_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f322,f506,f477]) ).
fof(f683,plain,
( ~ sQ41_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f323,f520,f513]) ).
fof(f684,plain,
( ~ sQ32_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f324,f520,f481]) ).
fof(f685,plain,
( ~ sQ32_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f325,f513,f481]) ).
fof(f686,plain,
( ~ sQ45_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f326,f524,f527]) ).
fof(f687,plain,
( ~ sQ34_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f327,f524,f488]) ).
fof(f688,plain,
( ~ sQ34_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f328,f527,f488]) ).
fof(f689,plain,
( ~ sQ47_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f329,f531,f534]) ).
fof(f690,plain,
( ~ sQ44_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f330,f531,f524]) ).
fof(f691,plain,
( ~ sQ36_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f331,f531,f495]) ).
fof(f692,plain,
( ~ sQ44_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f332,f534,f524]) ).
fof(f693,plain,
( ~ sQ36_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f333,f534,f495]) ).
fof(f694,plain,
( ~ sQ36_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f334,f524,f495]) ).
fof(f695,plain,
( ~ sQ49_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f335,f538,f541]) ).
fof(f696,plain,
( ~ sQ46_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f336,f538,f531]) ).
fof(f697,plain,
( ~ sQ38_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f337,f538,f502]) ).
fof(f698,plain,
( ~ sQ46_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f338,f541,f531]) ).
fof(f699,plain,
( ~ sQ38_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f339,f541,f502]) ).
fof(f700,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f340,f531,f502]) ).
fof(f701,plain,
( ~ sQ51_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f341,f545,f548]) ).
fof(f703,plain,
( ~ sQ40_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f343,f545,f509]) ).
fof(f705,plain,
( ~ sQ40_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f345,f548,f509]) ).
fof(f706,plain,
( ~ sQ40_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f346,f538,f509]) ).
fof(f707,plain,
( ~ sQ53_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f347,f552,f555]) ).
fof(f708,plain,
( ~ sQ50_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f348,f552,f545]) ).
fof(f709,plain,
( ~ sQ42_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f349,f552,f516]) ).
fof(f710,plain,
( ~ sQ50_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f350,f555,f545]) ).
fof(f711,plain,
( ~ sQ42_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f351,f555,f516]) ).
fof(f712,plain,
( ~ sQ42_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f352,f545,f516]) ).
fof(f715,plain,
( ~ sQ43_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f355,f552,f520]) ).
fof(f716,plain,
( ~ sQ45_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f356,f563,f527]) ).
fof(f717,plain,
( ~ sQ55_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f357,f567,f563]) ).
fof(f718,plain,
( ~ sQ47_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f358,f567,f534]) ).
fof(f719,plain,
( ~ sQ47_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f359,f563,f534]) ).
fof(f720,plain,
( ~ sQ56_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f360,f571,f567]) ).
fof(f721,plain,
( ~ sQ49_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f361,f571,f541]) ).
fof(f722,plain,
( ~ sQ49_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f362,f567,f541]) ).
fof(f723,plain,
( ~ sQ57_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f363,f575,f571]) ).
fof(f724,plain,
( ~ sQ51_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f364,f575,f548]) ).
fof(f725,plain,
( ~ sQ51_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f365,f571,f548]) ).
fof(f728,plain,
( ~ sQ53_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f368,f575,f555]) ).
fof(f729,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f411,f186]) ).
fof(f730,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f729]) ).
fof(f731,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f560,f188]) ).
fof(f732,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f731]) ).
fof(f733,plain,
( ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f580,f187]) ).
fof(f734,plain,
~ sQ59_spl,
inference(contradiction_clause,[status(thm)],[f733]) ).
fof(f735,plain,
$false,
inference(sat_refutation,[status(thm)],[f378,f385,f392,f399,f403,f413,f427,f434,f441,f445,f452,f459,f466,f473,f480,f484,f491,f498,f505,f519,f523,f530,f537,f544,f551,f562,f566,f570,f574,f578,f582,f584,f586,f587,f588,f589,f590,f591,f592,f593,f594,f595,f596,f599,f600,f601,f602,f603,f604,f605,f607,f609,f611,f612,f613,f614,f615,f616,f617,f618,f620,f621,f622,f623,f624,f625,f626,f627,f628,f629,f630,f631,f632,f635,f636,f637,f638,f639,f640,f641,f642,f643,f644,f645,f646,f647,f648,f649,f650,f651,f652,f653,f654,f655,f656,f657,f658,f659,f660,f661,f662,f663,f664,f665,f666,f667,f668,f669,f670,f671,f672,f673,f674,f675,f676,f677,f678,f679,f680,f681,f682,f683,f684,f685,f686,f687,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f703,f705,f706,f707,f708,f709,f710,f711,f712,f715,f716,f717,f718,f719,f720,f721,f722,f723,f724,f725,f728,f730,f732,f734]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ015-2.006 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 03:45:25 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.43 % Elapsed time: 0.060217 seconds
% 0.11/0.43 % CPU time: 0.198923 seconds
% 0.11/0.43 % Total memory used: 16.557 MB
% 0.11/0.43 % Net memory used: 16.545 MB
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