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Drodi-SAT---4.1.1.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SYN430-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n013.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 03:19:37 PM UTC 2026

% Result   : Satisfiable 0.24s 0.54s
% Output   : Saturation 0.24s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( ndr1_0
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ( ndr1_0
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ( ndr1_0
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ( ndr1_0
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ( ndr1_0
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    ( ndr1_0
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    ( ndr1_0
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    ( ndr1_0
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ( ndr1_0
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    ( ndr1_0
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,negated_conjecture,
    ( ndr1_0
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,negated_conjecture,
    ( ndr1_0
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    ( ndr1_0
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ( ndr1_0
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    ( ndr1_0
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,negated_conjecture,
    ( ndr1_0
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,negated_conjecture,
    ( ndr1_0
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,negated_conjecture,
    ( ndr1_0
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ( ndr1_0
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,negated_conjecture,
    ( ndr1_0
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,negated_conjecture,
    ( ndr1_0
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,negated_conjecture,
    ( ndr1_0
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,negated_conjecture,
    ( hskp9
    | hskp20
    | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,negated_conjecture,
    ( hskp6
    | hskp7
    | hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,negated_conjecture,
    ( c0_1(a131)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,negated_conjecture,
    ( c3_1(a131)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,negated_conjecture,
    ( c3_1(a130)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,negated_conjecture,
    ( c1_1(a129)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,negated_conjecture,
    ( c3_1(a121)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f34,negated_conjecture,
    ( c1_1(a121)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f35,negated_conjecture,
    ( c2_1(a121)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f36,negated_conjecture,
    ( c1_1(a119)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,negated_conjecture,
    ( c2_1(a119)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,negated_conjecture,
    ( c0_1(a117)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f39,negated_conjecture,
    ( c1_1(a116)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,negated_conjecture,
    ( c0_1(a116)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41,negated_conjecture,
    ( c2_1(a115)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f42,negated_conjecture,
    ( c1_1(a115)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f43,negated_conjecture,
    ( c0_1(a113)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,negated_conjecture,
    ( c3_1(a106)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f45,negated_conjecture,
    ( c3_1(a128)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f46,negated_conjecture,
    ( c1_1(a126)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f47,negated_conjecture,
    ( c0_1(a126)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f48,negated_conjecture,
    ( c3_1(a123)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f49,negated_conjecture,
    ( c2_1(a122)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f50,negated_conjecture,
    ( c1_1(a114)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f51,negated_conjecture,
    ( c2_1(a114)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f52,negated_conjecture,
    ( c2_1(a111)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f53,negated_conjecture,
    ( c0_1(a111)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f54,negated_conjecture,
    ( c3_1(a109)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f55,negated_conjecture,
    ( c3_1(a108)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f56,negated_conjecture,
    ( c3_1(a105)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f57,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a131) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f58,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a130) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f59,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a130) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f60,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a129) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f61,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a129) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f62,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a119) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f63,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a117) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f64,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a117) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f65,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a116) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f66,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a115) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f67,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a113) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f68,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a113) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f69,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a106) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f70,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a106) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f71,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a128) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f72,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a128) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f73,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a127) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f74,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a127) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f75,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a127) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f76,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a126) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f77,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a123) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f78,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a123) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f79,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a122) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f80,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a122) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f81,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a120) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f82,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a120) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f83,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a120) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f84,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a118) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f85,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a118) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f86,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a118) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f87,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a114) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f88,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a112) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f89,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a112) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f90,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a112) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f91,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a111) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f92,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a110) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f93,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a110) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f94,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a110) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f95,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a109) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f96,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a109) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f97,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a108) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f98,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a108) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f99,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a107) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f100,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a107) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f101,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a107) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f102,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a105) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f103,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a105) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f104,negated_conjecture,
    ! [U] :
      ( hskp16
      | hskp6
      | c1_1(U)
      | c0_1(U)
      | c3_1(U)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f105,negated_conjecture,
    ! [U] :
      ( hskp2
      | hskp1
      | c0_1(U)
      | c3_1(U)
      | ~ ndr1_0
      | ~ c1_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f106,negated_conjecture,
    ! [U] :
      ( hskp10
      | hskp21
      | c1_1(U)
      | c0_1(U)
      | ~ ndr1_0
      | ~ c3_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f107,negated_conjecture,
    ! [U] :
      ( hskp24
      | hskp23
      | c2_1(U)
      | c3_1(U)
      | ~ ndr1_0
      | ~ c1_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f108,negated_conjecture,
    ! [U] :
      ( hskp15
      | hskp0
      | c3_1(U)
      | ~ ndr1_0
      | ~ c2_1(U)
      | ~ c1_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f109,negated_conjecture,
    ! [U] :
      ( hskp4
      | hskp3
      | c3_1(U)
      | ~ ndr1_0
      | ~ c0_1(U)
      | ~ c2_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f110,negated_conjecture,
    ! [U] :
      ( hskp13
      | hskp12
      | c0_1(U)
      | ~ ndr1_0
      | ~ c2_1(U)
      | ~ c1_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f111,negated_conjecture,
    ! [U] :
      ( hskp22
      | hskp14
      | c3_1(U)
      | ~ ndr1_0
      | ~ c1_1(U)
      | ~ c2_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f112,negated_conjecture,
    ! [U,V] :
      ( hskp19
      | c0_1(V)
      | c2_1(V)
      | c2_1(U)
      | c3_1(U)
      | ~ c3_1(V)
      | ~ ndr1_0
      | ~ c1_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f113,negated_conjecture,
    ! [U,V] :
      ( hskp5
      | c3_1(V)
      | c2_1(V)
      | c3_1(U)
      | ~ c0_1(V)
      | ~ ndr1_0
      | ~ c2_1(U)
      | ~ c1_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f114,negated_conjecture,
    ! [U,V] :
      ( c0_1(V)
      | c2_1(V)
      | ~ c3_1(U)
      | ~ c3_1(V)
      | ~ c1_1(U)
      | ~ c0_1(U)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f115,negated_conjecture,
    ! [U,V,W] :
      ( c2_1(V)
      | c0_1(W)
      | c2_1(W)
      | c1_1(W)
      | c0_1(U)
      | ~ c1_1(V)
      | ~ c0_1(V)
      | ~ ndr1_0
      | ~ c1_1(U)
      | ~ c3_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f116,negated_conjecture,
    ! [U,V,W] :
      ( c2_1(W)
      | c0_1(W)
      | c0_1(V)
      | c1_1(V)
      | ~ c1_1(W)
      | ~ c2_1(V)
      | ~ ndr1_0
      | ~ c1_1(U)
      | ~ c0_1(U)
      | ~ c2_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f117,plain,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f118,plain,
    ( ndr1_0
    | ~ hskp23 ),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f119,plain,
    ( ndr1_0
    | ~ hskp22 ),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f120,plain,
    ( ndr1_0
    | ~ hskp21 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f121,plain,
    ( ndr1_0
    | ~ hskp20 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f122,plain,
    ( ndr1_0
    | ~ hskp19 ),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f123,plain,
    ( ndr1_0
    | ~ hskp18 ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f124,plain,
    ( ndr1_0
    | ~ hskp17 ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f125,plain,
    ( ndr1_0
    | ~ hskp16 ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f126,plain,
    ( ndr1_0
    | ~ hskp15 ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f127,plain,
    ( ndr1_0
    | ~ hskp14 ),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f128,plain,
    ( ndr1_0
    | ~ hskp13 ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f129,plain,
    ( ndr1_0
    | ~ hskp12 ),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f130,plain,
    ( ndr1_0
    | ~ hskp11 ),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f131,plain,
    ( ndr1_0
    | ~ hskp10 ),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f132,plain,
    ( ndr1_0
    | ~ hskp9 ),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f133,plain,
    ( ndr1_0
    | ~ hskp8 ),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f134,plain,
    ( ndr1_0
    | ~ hskp7 ),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f135,plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f136,plain,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f137,plain,
    ( ndr1_0
    | ~ hskp4 ),
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f138,plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(cnf_transformation,[status(thm)],[f22]) ).

fof(f139,plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f140,plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(cnf_transformation,[status(thm)],[f24]) ).

fof(f141,plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[status(thm)],[f25]) ).

fof(f142,plain,
    ( hskp18
    | hskp17
    | hskp7 ),
    inference(cnf_transformation,[status(thm)],[f26]) ).

fof(f143,plain,
    ( hskp9
    | hskp20
    | hskp8 ),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f144,plain,
    ( hskp6
    | hskp7
    | hskp11 ),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f145,plain,
    ( c0_1(a131)
    | ~ hskp24 ),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f146,plain,
    ( c3_1(a131)
    | ~ hskp24 ),
    inference(cnf_transformation,[status(thm)],[f30]) ).

fof(f147,plain,
    ( c3_1(a130)
    | ~ hskp23 ),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f148,plain,
    ( c1_1(a129)
    | ~ hskp22 ),
    inference(cnf_transformation,[status(thm)],[f32]) ).

fof(f149,plain,
    ( c3_1(a121)
    | ~ hskp21 ),
    inference(cnf_transformation,[status(thm)],[f33]) ).

fof(f150,plain,
    ( c1_1(a121)
    | ~ hskp21 ),
    inference(cnf_transformation,[status(thm)],[f34]) ).

fof(f151,plain,
    ( c2_1(a121)
    | ~ hskp21 ),
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f152,plain,
    ( c1_1(a119)
    | ~ hskp20 ),
    inference(cnf_transformation,[status(thm)],[f36]) ).

fof(f153,plain,
    ( c2_1(a119)
    | ~ hskp20 ),
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f154,plain,
    ( c0_1(a117)
    | ~ hskp19 ),
    inference(cnf_transformation,[status(thm)],[f38]) ).

fof(f155,plain,
    ( c1_1(a116)
    | ~ hskp18 ),
    inference(cnf_transformation,[status(thm)],[f39]) ).

fof(f156,plain,
    ( c0_1(a116)
    | ~ hskp18 ),
    inference(cnf_transformation,[status(thm)],[f40]) ).

fof(f157,plain,
    ( c2_1(a115)
    | ~ hskp17 ),
    inference(cnf_transformation,[status(thm)],[f41]) ).

fof(f158,plain,
    ( c1_1(a115)
    | ~ hskp17 ),
    inference(cnf_transformation,[status(thm)],[f42]) ).

fof(f159,plain,
    ( c0_1(a113)
    | ~ hskp16 ),
    inference(cnf_transformation,[status(thm)],[f43]) ).

fof(f160,plain,
    ( c3_1(a106)
    | ~ hskp15 ),
    inference(cnf_transformation,[status(thm)],[f44]) ).

fof(f161,plain,
    ( c3_1(a128)
    | ~ hskp14 ),
    inference(cnf_transformation,[status(thm)],[f45]) ).

fof(f162,plain,
    ( c1_1(a126)
    | ~ hskp12 ),
    inference(cnf_transformation,[status(thm)],[f46]) ).

fof(f163,plain,
    ( c0_1(a126)
    | ~ hskp12 ),
    inference(cnf_transformation,[status(thm)],[f47]) ).

fof(f164,plain,
    ( c3_1(a123)
    | ~ hskp11 ),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f165,plain,
    ( c2_1(a122)
    | ~ hskp10 ),
    inference(cnf_transformation,[status(thm)],[f49]) ).

fof(f166,plain,
    ( c1_1(a114)
    | ~ hskp7 ),
    inference(cnf_transformation,[status(thm)],[f50]) ).

fof(f167,plain,
    ( c2_1(a114)
    | ~ hskp7 ),
    inference(cnf_transformation,[status(thm)],[f51]) ).

fof(f168,plain,
    ( c2_1(a111)
    | ~ hskp5 ),
    inference(cnf_transformation,[status(thm)],[f52]) ).

fof(f169,plain,
    ( c0_1(a111)
    | ~ hskp5 ),
    inference(cnf_transformation,[status(thm)],[f53]) ).

fof(f170,plain,
    ( c3_1(a109)
    | ~ hskp3 ),
    inference(cnf_transformation,[status(thm)],[f54]) ).

fof(f171,plain,
    ( c3_1(a108)
    | ~ hskp2 ),
    inference(cnf_transformation,[status(thm)],[f55]) ).

fof(f172,plain,
    ( c3_1(a105)
    | ~ hskp0 ),
    inference(cnf_transformation,[status(thm)],[f56]) ).

fof(f173,plain,
    ( ~ hskp24
    | ~ c1_1(a131) ),
    inference(cnf_transformation,[status(thm)],[f57]) ).

fof(f174,plain,
    ( ~ hskp23
    | ~ c2_1(a130) ),
    inference(cnf_transformation,[status(thm)],[f58]) ).

fof(f175,plain,
    ( ~ hskp23
    | ~ c1_1(a130) ),
    inference(cnf_transformation,[status(thm)],[f59]) ).

fof(f176,plain,
    ( ~ hskp22
    | ~ c0_1(a129) ),
    inference(cnf_transformation,[status(thm)],[f60]) ).

fof(f177,plain,
    ( ~ hskp22
    | ~ c3_1(a129) ),
    inference(cnf_transformation,[status(thm)],[f61]) ).

fof(f178,plain,
    ( ~ hskp20
    | ~ c0_1(a119) ),
    inference(cnf_transformation,[status(thm)],[f62]) ).

fof(f179,plain,
    ( ~ hskp19
    | ~ c2_1(a117) ),
    inference(cnf_transformation,[status(thm)],[f63]) ).

fof(f180,plain,
    ( ~ hskp19
    | ~ c1_1(a117) ),
    inference(cnf_transformation,[status(thm)],[f64]) ).

fof(f181,plain,
    ( ~ hskp18
    | ~ c3_1(a116) ),
    inference(cnf_transformation,[status(thm)],[f65]) ).

fof(f182,plain,
    ( ~ hskp17
    | ~ c0_1(a115) ),
    inference(cnf_transformation,[status(thm)],[f66]) ).

fof(f183,plain,
    ( ~ hskp16
    | ~ c3_1(a113) ),
    inference(cnf_transformation,[status(thm)],[f67]) ).

fof(f184,plain,
    ( ~ hskp16
    | ~ c1_1(a113) ),
    inference(cnf_transformation,[status(thm)],[f68]) ).

fof(f185,plain,
    ( ~ hskp15
    | ~ c0_1(a106) ),
    inference(cnf_transformation,[status(thm)],[f69]) ).

fof(f186,plain,
    ( ~ hskp15
    | ~ c2_1(a106) ),
    inference(cnf_transformation,[status(thm)],[f70]) ).

fof(f187,plain,
    ( ~ hskp14
    | ~ c2_1(a128) ),
    inference(cnf_transformation,[status(thm)],[f71]) ).

fof(f188,plain,
    ( ~ hskp14
    | ~ c0_1(a128) ),
    inference(cnf_transformation,[status(thm)],[f72]) ).

fof(f189,plain,
    ( ~ hskp13
    | ~ c2_1(a127) ),
    inference(cnf_transformation,[status(thm)],[f73]) ).

fof(f190,plain,
    ( ~ hskp13
    | ~ c3_1(a127) ),
    inference(cnf_transformation,[status(thm)],[f74]) ).

fof(f191,plain,
    ( ~ hskp13
    | ~ c1_1(a127) ),
    inference(cnf_transformation,[status(thm)],[f75]) ).

fof(f192,plain,
    ( ~ hskp12
    | ~ c3_1(a126) ),
    inference(cnf_transformation,[status(thm)],[f76]) ).

fof(f193,plain,
    ( ~ hskp11
    | ~ c0_1(a123) ),
    inference(cnf_transformation,[status(thm)],[f77]) ).

fof(f194,plain,
    ( ~ hskp11
    | ~ c1_1(a123) ),
    inference(cnf_transformation,[status(thm)],[f78]) ).

fof(f195,plain,
    ( ~ hskp10
    | ~ c1_1(a122) ),
    inference(cnf_transformation,[status(thm)],[f79]) ).

fof(f196,plain,
    ( ~ hskp10
    | ~ c3_1(a122) ),
    inference(cnf_transformation,[status(thm)],[f80]) ).

fof(f197,plain,
    ( ~ hskp9
    | ~ c1_1(a120) ),
    inference(cnf_transformation,[status(thm)],[f81]) ).

fof(f198,plain,
    ( ~ hskp9
    | ~ c2_1(a120) ),
    inference(cnf_transformation,[status(thm)],[f82]) ).

fof(f199,plain,
    ( ~ hskp9
    | ~ c0_1(a120) ),
    inference(cnf_transformation,[status(thm)],[f83]) ).

fof(f200,plain,
    ( ~ hskp8
    | ~ c2_1(a118) ),
    inference(cnf_transformation,[status(thm)],[f84]) ).

fof(f201,plain,
    ( ~ hskp8
    | ~ c1_1(a118) ),
    inference(cnf_transformation,[status(thm)],[f85]) ).

fof(f202,plain,
    ( ~ hskp8
    | ~ c0_1(a118) ),
    inference(cnf_transformation,[status(thm)],[f86]) ).

fof(f203,plain,
    ( ~ hskp7
    | ~ c0_1(a114) ),
    inference(cnf_transformation,[status(thm)],[f87]) ).

fof(f204,plain,
    ( ~ hskp6
    | ~ c1_1(a112) ),
    inference(cnf_transformation,[status(thm)],[f88]) ).

fof(f205,plain,
    ( ~ hskp6
    | ~ c0_1(a112) ),
    inference(cnf_transformation,[status(thm)],[f89]) ).

fof(f206,plain,
    ( ~ hskp6
    | ~ c2_1(a112) ),
    inference(cnf_transformation,[status(thm)],[f90]) ).

fof(f207,plain,
    ( ~ hskp5
    | ~ c1_1(a111) ),
    inference(cnf_transformation,[status(thm)],[f91]) ).

fof(f208,plain,
    ( ~ hskp4
    | ~ c3_1(a110) ),
    inference(cnf_transformation,[status(thm)],[f92]) ).

fof(f209,plain,
    ( ~ hskp4
    | ~ c1_1(a110) ),
    inference(cnf_transformation,[status(thm)],[f93]) ).

fof(f210,plain,
    ( ~ hskp4
    | ~ c2_1(a110) ),
    inference(cnf_transformation,[status(thm)],[f94]) ).

fof(f211,plain,
    ( ~ hskp3
    | ~ c2_1(a109) ),
    inference(cnf_transformation,[status(thm)],[f95]) ).

fof(f212,plain,
    ( ~ hskp3
    | ~ c1_1(a109) ),
    inference(cnf_transformation,[status(thm)],[f96]) ).

fof(f213,plain,
    ( ~ hskp2
    | ~ c2_1(a108) ),
    inference(cnf_transformation,[status(thm)],[f97]) ).

fof(f214,plain,
    ( ~ hskp2
    | ~ c1_1(a108) ),
    inference(cnf_transformation,[status(thm)],[f98]) ).

fof(f215,plain,
    ( ~ hskp1
    | ~ c3_1(a107) ),
    inference(cnf_transformation,[status(thm)],[f99]) ).

fof(f216,plain,
    ( ~ hskp1
    | ~ c1_1(a107) ),
    inference(cnf_transformation,[status(thm)],[f100]) ).

fof(f217,plain,
    ( ~ hskp1
    | ~ c0_1(a107) ),
    inference(cnf_transformation,[status(thm)],[f101]) ).

fof(f218,plain,
    ( ~ hskp0
    | ~ c1_1(a105) ),
    inference(cnf_transformation,[status(thm)],[f102]) ).

fof(f219,plain,
    ( ~ hskp0
    | ~ c2_1(a105) ),
    inference(cnf_transformation,[status(thm)],[f103]) ).

fof(f220,plain,
    ( hskp16
    | hskp6
    | ! [U] :
        ( c1_1(U)
        | c0_1(U)
        | c3_1(U)
        | ~ ndr1_0 ) ),
    inference(miniscoping,[status(thm)],[f104]) ).

fof(f221,plain,
    ! [X0] :
      ( hskp16
      | hskp6
      | c1_1(X0)
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[status(thm)],[f220]) ).

fof(f222,plain,
    ( hskp2
    | hskp1
    | ! [U] :
        ( c0_1(U)
        | c3_1(U)
        | ~ ndr1_0
        | ~ c1_1(U) ) ),
    inference(miniscoping,[status(thm)],[f105]) ).

fof(f223,plain,
    ! [X0] :
      ( hskp2
      | hskp1
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f222]) ).

fof(f224,plain,
    ( hskp10
    | hskp21
    | ! [U] :
        ( c1_1(U)
        | c0_1(U)
        | ~ ndr1_0
        | ~ c3_1(U) ) ),
    inference(miniscoping,[status(thm)],[f106]) ).

fof(f225,plain,
    ! [X0] :
      ( hskp10
      | hskp21
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f224]) ).

fof(f226,plain,
    ( hskp24
    | hskp23
    | ! [U] :
        ( c2_1(U)
        | c3_1(U)
        | ~ ndr1_0
        | ~ c1_1(U) ) ),
    inference(miniscoping,[status(thm)],[f107]) ).

fof(f227,plain,
    ! [X0] :
      ( hskp24
      | hskp23
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f226]) ).

fof(f228,plain,
    ( hskp15
    | hskp0
    | ! [U] :
        ( c3_1(U)
        | ~ ndr1_0
        | ~ c2_1(U)
        | ~ c1_1(U) ) ),
    inference(miniscoping,[status(thm)],[f108]) ).

fof(f229,plain,
    ! [X0] :
      ( hskp15
      | hskp0
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f228]) ).

fof(f230,plain,
    ( hskp4
    | hskp3
    | ! [U] :
        ( c3_1(U)
        | ~ ndr1_0
        | ~ c0_1(U)
        | ~ c2_1(U) ) ),
    inference(miniscoping,[status(thm)],[f109]) ).

fof(f231,plain,
    ! [X0] :
      ( hskp4
      | hskp3
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f230]) ).

fof(f232,plain,
    ( hskp13
    | hskp12
    | ! [U] :
        ( c0_1(U)
        | ~ ndr1_0
        | ~ c2_1(U)
        | ~ c1_1(U) ) ),
    inference(miniscoping,[status(thm)],[f110]) ).

fof(f233,plain,
    ! [X0] :
      ( hskp13
      | hskp12
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f232]) ).

fof(f234,plain,
    ( hskp22
    | hskp14
    | ! [U] :
        ( c3_1(U)
        | ~ ndr1_0
        | ~ c1_1(U)
        | ~ c2_1(U) ) ),
    inference(miniscoping,[status(thm)],[f111]) ).

fof(f235,plain,
    ! [X0] :
      ( hskp22
      | hskp14
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f234]) ).

fof(f236,plain,
    ( hskp19
    | ! [V] :
        ( c0_1(V)
        | c2_1(V)
        | ! [U] :
            ( c2_1(U)
            | c3_1(U)
            | ~ c3_1(V)
            | ~ ndr1_0
            | ~ c1_1(U) ) ) ),
    inference(miniscoping,[status(thm)],[f112]) ).

fof(f237,plain,
    ! [X0,X1] :
      ( hskp19
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f236]) ).

fof(f238,plain,
    ( hskp5
    | ! [V] :
        ( c3_1(V)
        | c2_1(V)
        | ! [U] :
            ( c3_1(U)
            | ~ c0_1(V)
            | ~ ndr1_0
            | ~ c2_1(U)
            | ~ c1_1(U) ) ) ),
    inference(miniscoping,[status(thm)],[f113]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( hskp5
      | c3_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f238]) ).

fof(f240,plain,
    ! [V] :
      ( c0_1(V)
      | c2_1(V)
      | ! [U] :
          ( ~ c3_1(U)
          | ~ c3_1(V)
          | ~ c1_1(U)
          | ~ c0_1(U)
          | ~ ndr1_0 ) ),
    inference(miniscoping,[status(thm)],[f114]) ).

fof(f241,plain,
    ! [X0,X1] :
      ( c0_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[status(thm)],[f240]) ).

fof(f242,plain,
    ! [V] :
      ( c2_1(V)
      | ! [W] :
          ( c0_1(W)
          | c2_1(W)
          | c1_1(W)
          | ! [U] :
              ( c0_1(U)
              | ~ c1_1(V)
              | ~ c0_1(V)
              | ~ ndr1_0
              | ~ c1_1(U)
              | ~ c3_1(U) ) ) ),
    inference(miniscoping,[status(thm)],[f115]) ).

fof(f243,plain,
    ! [X0,X1,X2] :
      ( c2_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c1_1(X2)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f242]) ).

fof(f244,plain,
    ! [W] :
      ( c2_1(W)
      | c0_1(W)
      | ! [V] :
          ( c0_1(V)
          | c1_1(V)
          | ~ c1_1(W)
          | ~ c2_1(V)
          | ~ ndr1_0
          | ! [U] :
              ( ~ c1_1(U)
              | ~ c0_1(U)
              | ~ c2_1(U) ) ) ),
    inference(miniscoping,[status(thm)],[f116]) ).

fof(f245,plain,
    ! [X0,X1,X2] :
      ( c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c1_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f244]) ).

fof(f246,definition,
    ( sQ0_spl
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f248,plain,
    ( sQ0_spl
    | ~ hskp24 ),
    inference(component_clause,[status(thm)],[f246]) ).

fof(f249,definition,
    ( sQ1_spl
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f250,plain,
    ( ~ sQ1_spl
    | ndr1_0 ),
    inference(component_clause,[status(thm)],[f249]) ).

fof(f252,plain,
    ( sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f117,f246,f249]) ).

fof(f253,definition,
    ( sQ2_spl
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f254,plain,
    ( ~ sQ2_spl
    | hskp23 ),
    inference(component_clause,[status(thm)],[f253]) ).

fof(f256,plain,
    ( sQ1_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f118,f253,f249]) ).

fof(f257,definition,
    ( sQ3_spl
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f259,plain,
    ( sQ3_spl
    | ~ hskp22 ),
    inference(component_clause,[status(thm)],[f257]) ).

fof(f260,plain,
    ( sQ1_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f119,f257,f249]) ).

fof(f261,definition,
    ( sQ4_spl
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f263,plain,
    ( sQ4_spl
    | ~ hskp21 ),
    inference(component_clause,[status(thm)],[f261]) ).

fof(f264,plain,
    ( sQ1_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f120,f261,f249]) ).

fof(f265,definition,
    ( sQ5_spl
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f267,plain,
    ( sQ5_spl
    | ~ hskp20 ),
    inference(component_clause,[status(thm)],[f265]) ).

fof(f268,plain,
    ( sQ1_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f121,f265,f249]) ).

fof(f269,definition,
    ( sQ6_spl
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f271,plain,
    ( sQ6_spl
    | ~ hskp19 ),
    inference(component_clause,[status(thm)],[f269]) ).

fof(f272,plain,
    ( sQ1_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f122,f269,f249]) ).

fof(f273,definition,
    ( sQ7_spl
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f275,plain,
    ( sQ7_spl
    | ~ hskp18 ),
    inference(component_clause,[status(thm)],[f273]) ).

fof(f276,plain,
    ( sQ1_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f123,f273,f249]) ).

fof(f277,definition,
    ( sQ8_spl
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f278,plain,
    ( ~ sQ8_spl
    | hskp17 ),
    inference(component_clause,[status(thm)],[f277]) ).

fof(f280,plain,
    ( sQ1_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f124,f277,f249]) ).

fof(f281,definition,
    ( sQ9_spl
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f282,plain,
    ( ~ sQ9_spl
    | hskp16 ),
    inference(component_clause,[status(thm)],[f281]) ).

fof(f284,plain,
    ( sQ1_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f125,f281,f249]) ).

fof(f285,definition,
    ( sQ10_spl
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f287,plain,
    ( sQ10_spl
    | ~ hskp15 ),
    inference(component_clause,[status(thm)],[f285]) ).

fof(f288,plain,
    ( sQ1_spl
    | ~ sQ10_spl ),
    inference(split_clause,[status(thm)],[f126,f285,f249]) ).

fof(f289,definition,
    ( sQ11_spl
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f291,plain,
    ( sQ11_spl
    | ~ hskp14 ),
    inference(component_clause,[status(thm)],[f289]) ).

fof(f292,plain,
    ( sQ1_spl
    | ~ sQ11_spl ),
    inference(split_clause,[status(thm)],[f127,f289,f249]) ).

fof(f293,definition,
    ( sQ12_spl
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f294,plain,
    ( ~ sQ12_spl
    | hskp13 ),
    inference(component_clause,[status(thm)],[f293]) ).

fof(f296,plain,
    ( sQ1_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f128,f293,f249]) ).

fof(f297,definition,
    ( sQ13_spl
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f299,plain,
    ( sQ13_spl
    | ~ hskp12 ),
    inference(component_clause,[status(thm)],[f297]) ).

fof(f300,plain,
    ( sQ1_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f129,f297,f249]) ).

fof(f301,definition,
    ( sQ14_spl
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f302,plain,
    ( ~ sQ14_spl
    | hskp11 ),
    inference(component_clause,[status(thm)],[f301]) ).

fof(f304,plain,
    ( sQ1_spl
    | ~ sQ14_spl ),
    inference(split_clause,[status(thm)],[f130,f301,f249]) ).

fof(f305,definition,
    ( sQ15_spl
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f306,plain,
    ( ~ sQ15_spl
    | hskp10 ),
    inference(component_clause,[status(thm)],[f305]) ).

fof(f308,plain,
    ( sQ1_spl
    | ~ sQ15_spl ),
    inference(split_clause,[status(thm)],[f131,f305,f249]) ).

fof(f309,definition,
    ( sQ16_spl
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f311,plain,
    ( sQ16_spl
    | ~ hskp9 ),
    inference(component_clause,[status(thm)],[f309]) ).

fof(f312,plain,
    ( sQ1_spl
    | ~ sQ16_spl ),
    inference(split_clause,[status(thm)],[f132,f309,f249]) ).

fof(f313,definition,
    ( sQ17_spl
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f314,plain,
    ( ~ sQ17_spl
    | hskp8 ),
    inference(component_clause,[status(thm)],[f313]) ).

fof(f316,plain,
    ( sQ1_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f133,f313,f249]) ).

fof(f317,definition,
    ( sQ18_spl
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f319,plain,
    ( sQ18_spl
    | ~ hskp7 ),
    inference(component_clause,[status(thm)],[f317]) ).

fof(f320,plain,
    ( sQ1_spl
    | ~ sQ18_spl ),
    inference(split_clause,[status(thm)],[f134,f317,f249]) ).

fof(f321,definition,
    ( sQ19_spl
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f323,plain,
    ( sQ19_spl
    | ~ hskp6 ),
    inference(component_clause,[status(thm)],[f321]) ).

fof(f324,plain,
    ( sQ1_spl
    | ~ sQ19_spl ),
    inference(split_clause,[status(thm)],[f135,f321,f249]) ).

fof(f325,definition,
    ( sQ20_spl
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f327,plain,
    ( sQ20_spl
    | ~ hskp5 ),
    inference(component_clause,[status(thm)],[f325]) ).

fof(f328,plain,
    ( sQ1_spl
    | ~ sQ20_spl ),
    inference(split_clause,[status(thm)],[f136,f325,f249]) ).

fof(f329,definition,
    ( sQ21_spl
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f330,plain,
    ( ~ sQ21_spl
    | hskp4 ),
    inference(component_clause,[status(thm)],[f329]) ).

fof(f332,plain,
    ( sQ1_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f137,f329,f249]) ).

fof(f333,definition,
    ( sQ22_spl
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).

fof(f335,plain,
    ( sQ22_spl
    | ~ hskp3 ),
    inference(component_clause,[status(thm)],[f333]) ).

fof(f336,plain,
    ( sQ1_spl
    | ~ sQ22_spl ),
    inference(split_clause,[status(thm)],[f138,f333,f249]) ).

fof(f337,definition,
    ( sQ23_spl
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).

fof(f338,plain,
    ( ~ sQ23_spl
    | hskp2 ),
    inference(component_clause,[status(thm)],[f337]) ).

fof(f339,plain,
    ( sQ23_spl
    | ~ hskp2 ),
    inference(component_clause,[status(thm)],[f337]) ).

fof(f340,plain,
    ( sQ1_spl
    | ~ sQ23_spl ),
    inference(split_clause,[status(thm)],[f139,f337,f249]) ).

fof(f341,definition,
    ( sQ24_spl
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).

fof(f343,plain,
    ( sQ24_spl
    | ~ hskp1 ),
    inference(component_clause,[status(thm)],[f341]) ).

fof(f344,plain,
    ( sQ1_spl
    | ~ sQ24_spl ),
    inference(split_clause,[status(thm)],[f140,f341,f249]) ).

fof(f345,definition,
    ( sQ25_spl
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).

fof(f347,plain,
    ( sQ25_spl
    | ~ hskp0 ),
    inference(component_clause,[status(thm)],[f345]) ).

fof(f348,plain,
    ( sQ1_spl
    | ~ sQ25_spl ),
    inference(split_clause,[status(thm)],[f141,f345,f249]) ).

fof(f349,plain,
    ( sQ7_spl
    | sQ8_spl
    | sQ18_spl ),
    inference(split_clause,[status(thm)],[f142,f317,f277,f273]) ).

fof(f350,plain,
    ( sQ16_spl
    | sQ5_spl
    | sQ17_spl ),
    inference(split_clause,[status(thm)],[f143,f313,f265,f309]) ).

fof(f351,plain,
    ( sQ19_spl
    | sQ18_spl
    | sQ14_spl ),
    inference(split_clause,[status(thm)],[f144,f301,f317,f321]) ).

fof(f352,definition,
    ( sQ26_spl
  <=> c0_1(a131) ),
    introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).

fof(f355,plain,
    ( sQ26_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f145,f246,f352]) ).

fof(f356,definition,
    ( sQ27_spl
  <=> c3_1(a131) ),
    introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).

fof(f359,plain,
    ( sQ27_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f146,f246,f356]) ).

fof(f360,definition,
    ( sQ28_spl
  <=> c3_1(a130) ),
    introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).

fof(f361,plain,
    ( ~ sQ28_spl
    | c3_1(a130) ),
    inference(component_clause,[status(thm)],[f360]) ).

fof(f363,plain,
    ( sQ28_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f147,f253,f360]) ).

fof(f364,definition,
    ( sQ29_spl
  <=> c1_1(a129) ),
    introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).

fof(f367,plain,
    ( sQ29_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f148,f257,f364]) ).

fof(f368,definition,
    ( sQ30_spl
  <=> c3_1(a121) ),
    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).

fof(f371,plain,
    ( sQ30_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f149,f261,f368]) ).

fof(f372,definition,
    ( sQ31_spl
  <=> c1_1(a121) ),
    introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).

fof(f375,plain,
    ( sQ31_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f150,f261,f372]) ).

fof(f376,definition,
    ( sQ32_spl
  <=> c2_1(a121) ),
    introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).

fof(f379,plain,
    ( sQ32_spl
    | ~ sQ4_spl ),
    inference(split_clause,[status(thm)],[f151,f261,f376]) ).

fof(f380,definition,
    ( sQ33_spl
  <=> c1_1(a119) ),
    introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).

fof(f383,plain,
    ( sQ33_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f152,f265,f380]) ).

fof(f384,definition,
    ( sQ34_spl
  <=> c2_1(a119) ),
    introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).

fof(f387,plain,
    ( sQ34_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f153,f265,f384]) ).

fof(f388,definition,
    ( sQ35_spl
  <=> c0_1(a117) ),
    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).

fof(f391,plain,
    ( sQ35_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f154,f269,f388]) ).

fof(f392,definition,
    ( sQ36_spl
  <=> c1_1(a116) ),
    introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).

fof(f395,plain,
    ( sQ36_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f155,f273,f392]) ).

fof(f396,definition,
    ( sQ37_spl
  <=> c0_1(a116) ),
    introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).

fof(f399,plain,
    ( sQ37_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f156,f273,f396]) ).

fof(f400,definition,
    ( sQ38_spl
  <=> c2_1(a115) ),
    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).

fof(f401,plain,
    ( ~ sQ38_spl
    | c2_1(a115) ),
    inference(component_clause,[status(thm)],[f400]) ).

fof(f403,plain,
    ( sQ38_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f157,f277,f400]) ).

fof(f404,definition,
    ( sQ39_spl
  <=> c1_1(a115) ),
    introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).

fof(f405,plain,
    ( ~ sQ39_spl
    | c1_1(a115) ),
    inference(component_clause,[status(thm)],[f404]) ).

fof(f407,plain,
    ( sQ39_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f158,f277,f404]) ).

fof(f408,definition,
    ( sQ40_spl
  <=> c0_1(a113) ),
    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).

fof(f409,plain,
    ( ~ sQ40_spl
    | c0_1(a113) ),
    inference(component_clause,[status(thm)],[f408]) ).

fof(f411,plain,
    ( sQ40_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f159,f281,f408]) ).

fof(f412,definition,
    ( sQ41_spl
  <=> c3_1(a106) ),
    introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).

fof(f415,plain,
    ( sQ41_spl
    | ~ sQ10_spl ),
    inference(split_clause,[status(thm)],[f160,f285,f412]) ).

fof(f416,definition,
    ( sQ42_spl
  <=> c3_1(a128) ),
    introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).

fof(f419,plain,
    ( sQ42_spl
    | ~ sQ11_spl ),
    inference(split_clause,[status(thm)],[f161,f289,f416]) ).

fof(f420,definition,
    ( sQ43_spl
  <=> c1_1(a126) ),
    introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).

fof(f423,plain,
    ( sQ43_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f162,f297,f420]) ).

fof(f424,definition,
    ( sQ44_spl
  <=> c0_1(a126) ),
    introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).

fof(f427,plain,
    ( sQ44_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f163,f297,f424]) ).

fof(f428,definition,
    ( sQ45_spl
  <=> c3_1(a123) ),
    introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).

fof(f429,plain,
    ( ~ sQ45_spl
    | c3_1(a123) ),
    inference(component_clause,[status(thm)],[f428]) ).

fof(f431,plain,
    ( sQ45_spl
    | ~ sQ14_spl ),
    inference(split_clause,[status(thm)],[f164,f301,f428]) ).

fof(f432,definition,
    ( sQ46_spl
  <=> c2_1(a122) ),
    introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).

fof(f433,plain,
    ( ~ sQ46_spl
    | c2_1(a122) ),
    inference(component_clause,[status(thm)],[f432]) ).

fof(f435,plain,
    ( sQ46_spl
    | ~ sQ15_spl ),
    inference(split_clause,[status(thm)],[f165,f305,f432]) ).

fof(f436,definition,
    ( sQ47_spl
  <=> c1_1(a114) ),
    introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).

fof(f439,plain,
    ( sQ47_spl
    | ~ sQ18_spl ),
    inference(split_clause,[status(thm)],[f166,f317,f436]) ).

fof(f440,definition,
    ( sQ48_spl
  <=> c2_1(a114) ),
    introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).

fof(f443,plain,
    ( sQ48_spl
    | ~ sQ18_spl ),
    inference(split_clause,[status(thm)],[f167,f317,f440]) ).

fof(f444,definition,
    ( sQ49_spl
  <=> c2_1(a111) ),
    introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).

fof(f447,plain,
    ( sQ49_spl
    | ~ sQ20_spl ),
    inference(split_clause,[status(thm)],[f168,f325,f444]) ).

fof(f448,definition,
    ( sQ50_spl
  <=> c0_1(a111) ),
    introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).

fof(f451,plain,
    ( sQ50_spl
    | ~ sQ20_spl ),
    inference(split_clause,[status(thm)],[f169,f325,f448]) ).

fof(f452,definition,
    ( sQ51_spl
  <=> c3_1(a109) ),
    introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).

fof(f455,plain,
    ( sQ51_spl
    | ~ sQ22_spl ),
    inference(split_clause,[status(thm)],[f170,f333,f452]) ).

fof(f456,definition,
    ( sQ52_spl
  <=> c3_1(a108) ),
    introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).

fof(f457,plain,
    ( ~ sQ52_spl
    | c3_1(a108) ),
    inference(component_clause,[status(thm)],[f456]) ).

fof(f459,plain,
    ( sQ52_spl
    | ~ sQ23_spl ),
    inference(split_clause,[status(thm)],[f171,f337,f456]) ).

fof(f460,definition,
    ( sQ53_spl
  <=> c3_1(a105) ),
    introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).

fof(f463,plain,
    ( sQ53_spl
    | ~ sQ25_spl ),
    inference(split_clause,[status(thm)],[f172,f345,f460]) ).

fof(f464,definition,
    ( sQ54_spl
  <=> c1_1(a131) ),
    introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).

fof(f467,plain,
    ( ~ sQ0_spl
    | ~ sQ54_spl ),
    inference(split_clause,[status(thm)],[f173,f464,f246]) ).

fof(f468,definition,
    ( sQ55_spl
  <=> c2_1(a130) ),
    introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).

fof(f470,plain,
    ( sQ55_spl
    | ~ c2_1(a130) ),
    inference(component_clause,[status(thm)],[f468]) ).

fof(f471,plain,
    ( ~ sQ2_spl
    | ~ sQ55_spl ),
    inference(split_clause,[status(thm)],[f174,f468,f253]) ).

fof(f472,definition,
    ( sQ56_spl
  <=> c1_1(a130) ),
    introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).

fof(f474,plain,
    ( sQ56_spl
    | ~ c1_1(a130) ),
    inference(component_clause,[status(thm)],[f472]) ).

fof(f475,plain,
    ( ~ sQ2_spl
    | ~ sQ56_spl ),
    inference(split_clause,[status(thm)],[f175,f472,f253]) ).

fof(f476,definition,
    ( sQ57_spl
  <=> c0_1(a129) ),
    introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).

fof(f479,plain,
    ( ~ sQ3_spl
    | ~ sQ57_spl ),
    inference(split_clause,[status(thm)],[f176,f476,f257]) ).

fof(f480,definition,
    ( sQ58_spl
  <=> c3_1(a129) ),
    introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).

fof(f483,plain,
    ( ~ sQ3_spl
    | ~ sQ58_spl ),
    inference(split_clause,[status(thm)],[f177,f480,f257]) ).

fof(f484,definition,
    ( sQ59_spl
  <=> c0_1(a119) ),
    introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).

fof(f487,plain,
    ( ~ sQ5_spl
    | ~ sQ59_spl ),
    inference(split_clause,[status(thm)],[f178,f484,f265]) ).

fof(f488,definition,
    ( sQ60_spl
  <=> c2_1(a117) ),
    introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).

fof(f491,plain,
    ( ~ sQ6_spl
    | ~ sQ60_spl ),
    inference(split_clause,[status(thm)],[f179,f488,f269]) ).

fof(f492,definition,
    ( sQ61_spl
  <=> c1_1(a117) ),
    introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).

fof(f495,plain,
    ( ~ sQ6_spl
    | ~ sQ61_spl ),
    inference(split_clause,[status(thm)],[f180,f492,f269]) ).

fof(f496,definition,
    ( sQ62_spl
  <=> c3_1(a116) ),
    introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).

fof(f499,plain,
    ( ~ sQ7_spl
    | ~ sQ62_spl ),
    inference(split_clause,[status(thm)],[f181,f496,f273]) ).

fof(f500,definition,
    ( sQ63_spl
  <=> c0_1(a115) ),
    introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).

fof(f502,plain,
    ( sQ63_spl
    | ~ c0_1(a115) ),
    inference(component_clause,[status(thm)],[f500]) ).

fof(f503,plain,
    ( ~ sQ8_spl
    | ~ sQ63_spl ),
    inference(split_clause,[status(thm)],[f182,f500,f277]) ).

fof(f504,definition,
    ( sQ64_spl
  <=> c3_1(a113) ),
    introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).

fof(f506,plain,
    ( sQ64_spl
    | ~ c3_1(a113) ),
    inference(component_clause,[status(thm)],[f504]) ).

fof(f507,plain,
    ( ~ sQ9_spl
    | ~ sQ64_spl ),
    inference(split_clause,[status(thm)],[f183,f504,f281]) ).

fof(f508,definition,
    ( sQ65_spl
  <=> c1_1(a113) ),
    introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).

fof(f510,plain,
    ( sQ65_spl
    | ~ c1_1(a113) ),
    inference(component_clause,[status(thm)],[f508]) ).

fof(f511,plain,
    ( ~ sQ9_spl
    | ~ sQ65_spl ),
    inference(split_clause,[status(thm)],[f184,f508,f281]) ).

fof(f512,definition,
    ( sQ66_spl
  <=> c0_1(a106) ),
    introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).

fof(f515,plain,
    ( ~ sQ10_spl
    | ~ sQ66_spl ),
    inference(split_clause,[status(thm)],[f185,f512,f285]) ).

fof(f516,definition,
    ( sQ67_spl
  <=> c2_1(a106) ),
    introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).

fof(f519,plain,
    ( ~ sQ10_spl
    | ~ sQ67_spl ),
    inference(split_clause,[status(thm)],[f186,f516,f285]) ).

fof(f520,definition,
    ( sQ68_spl
  <=> c2_1(a128) ),
    introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).

fof(f523,plain,
    ( ~ sQ11_spl
    | ~ sQ68_spl ),
    inference(split_clause,[status(thm)],[f187,f520,f289]) ).

fof(f524,definition,
    ( sQ69_spl
  <=> c0_1(a128) ),
    introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).

fof(f527,plain,
    ( ~ sQ11_spl
    | ~ sQ69_spl ),
    inference(split_clause,[status(thm)],[f188,f524,f289]) ).

fof(f528,definition,
    ( sQ70_spl
  <=> c2_1(a127) ),
    introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).

fof(f530,plain,
    ( sQ70_spl
    | ~ c2_1(a127) ),
    inference(component_clause,[status(thm)],[f528]) ).

fof(f531,plain,
    ( ~ sQ12_spl
    | ~ sQ70_spl ),
    inference(split_clause,[status(thm)],[f189,f528,f293]) ).

fof(f532,definition,
    ( sQ71_spl
  <=> c3_1(a127) ),
    introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).

fof(f534,plain,
    ( sQ71_spl
    | ~ c3_1(a127) ),
    inference(component_clause,[status(thm)],[f532]) ).

fof(f535,plain,
    ( ~ sQ12_spl
    | ~ sQ71_spl ),
    inference(split_clause,[status(thm)],[f190,f532,f293]) ).

fof(f536,definition,
    ( sQ72_spl
  <=> c1_1(a127) ),
    introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).

fof(f538,plain,
    ( sQ72_spl
    | ~ c1_1(a127) ),
    inference(component_clause,[status(thm)],[f536]) ).

fof(f539,plain,
    ( ~ sQ12_spl
    | ~ sQ72_spl ),
    inference(split_clause,[status(thm)],[f191,f536,f293]) ).

fof(f540,definition,
    ( sQ73_spl
  <=> c3_1(a126) ),
    introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).

fof(f543,plain,
    ( ~ sQ13_spl
    | ~ sQ73_spl ),
    inference(split_clause,[status(thm)],[f192,f540,f297]) ).

fof(f544,definition,
    ( sQ74_spl
  <=> c0_1(a123) ),
    introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).

fof(f546,plain,
    ( sQ74_spl
    | ~ c0_1(a123) ),
    inference(component_clause,[status(thm)],[f544]) ).

fof(f547,plain,
    ( ~ sQ14_spl
    | ~ sQ74_spl ),
    inference(split_clause,[status(thm)],[f193,f544,f301]) ).

fof(f548,definition,
    ( sQ75_spl
  <=> c1_1(a123) ),
    introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).

fof(f550,plain,
    ( sQ75_spl
    | ~ c1_1(a123) ),
    inference(component_clause,[status(thm)],[f548]) ).

fof(f551,plain,
    ( ~ sQ14_spl
    | ~ sQ75_spl ),
    inference(split_clause,[status(thm)],[f194,f548,f301]) ).

fof(f552,definition,
    ( sQ76_spl
  <=> c1_1(a122) ),
    introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).

fof(f554,plain,
    ( sQ76_spl
    | ~ c1_1(a122) ),
    inference(component_clause,[status(thm)],[f552]) ).

fof(f555,plain,
    ( ~ sQ15_spl
    | ~ sQ76_spl ),
    inference(split_clause,[status(thm)],[f195,f552,f305]) ).

fof(f556,definition,
    ( sQ77_spl
  <=> c3_1(a122) ),
    introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).

fof(f558,plain,
    ( sQ77_spl
    | ~ c3_1(a122) ),
    inference(component_clause,[status(thm)],[f556]) ).

fof(f559,plain,
    ( ~ sQ15_spl
    | ~ sQ77_spl ),
    inference(split_clause,[status(thm)],[f196,f556,f305]) ).

fof(f560,definition,
    ( sQ78_spl
  <=> c1_1(a120) ),
    introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).

fof(f563,plain,
    ( ~ sQ16_spl
    | ~ sQ78_spl ),
    inference(split_clause,[status(thm)],[f197,f560,f309]) ).

fof(f564,definition,
    ( sQ79_spl
  <=> c2_1(a120) ),
    introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).

fof(f567,plain,
    ( ~ sQ16_spl
    | ~ sQ79_spl ),
    inference(split_clause,[status(thm)],[f198,f564,f309]) ).

fof(f568,definition,
    ( sQ80_spl
  <=> c0_1(a120) ),
    introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).

fof(f571,plain,
    ( ~ sQ16_spl
    | ~ sQ80_spl ),
    inference(split_clause,[status(thm)],[f199,f568,f309]) ).

fof(f572,definition,
    ( sQ81_spl
  <=> c2_1(a118) ),
    introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).

fof(f574,plain,
    ( sQ81_spl
    | ~ c2_1(a118) ),
    inference(component_clause,[status(thm)],[f572]) ).

fof(f575,plain,
    ( ~ sQ17_spl
    | ~ sQ81_spl ),
    inference(split_clause,[status(thm)],[f200,f572,f313]) ).

fof(f576,definition,
    ( sQ82_spl
  <=> c1_1(a118) ),
    introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).

fof(f578,plain,
    ( sQ82_spl
    | ~ c1_1(a118) ),
    inference(component_clause,[status(thm)],[f576]) ).

fof(f579,plain,
    ( ~ sQ17_spl
    | ~ sQ82_spl ),
    inference(split_clause,[status(thm)],[f201,f576,f313]) ).

fof(f580,definition,
    ( sQ83_spl
  <=> c0_1(a118) ),
    introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).

fof(f582,plain,
    ( sQ83_spl
    | ~ c0_1(a118) ),
    inference(component_clause,[status(thm)],[f580]) ).

fof(f583,plain,
    ( ~ sQ17_spl
    | ~ sQ83_spl ),
    inference(split_clause,[status(thm)],[f202,f580,f313]) ).

fof(f584,definition,
    ( sQ84_spl
  <=> c0_1(a114) ),
    introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).

fof(f587,plain,
    ( ~ sQ18_spl
    | ~ sQ84_spl ),
    inference(split_clause,[status(thm)],[f203,f584,f317]) ).

fof(f588,definition,
    ( sQ85_spl
  <=> c1_1(a112) ),
    introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).

fof(f591,plain,
    ( ~ sQ19_spl
    | ~ sQ85_spl ),
    inference(split_clause,[status(thm)],[f204,f588,f321]) ).

fof(f592,definition,
    ( sQ86_spl
  <=> c0_1(a112) ),
    introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).

fof(f595,plain,
    ( ~ sQ19_spl
    | ~ sQ86_spl ),
    inference(split_clause,[status(thm)],[f205,f592,f321]) ).

fof(f596,definition,
    ( sQ87_spl
  <=> c2_1(a112) ),
    introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).

fof(f599,plain,
    ( ~ sQ19_spl
    | ~ sQ87_spl ),
    inference(split_clause,[status(thm)],[f206,f596,f321]) ).

fof(f600,definition,
    ( sQ88_spl
  <=> c1_1(a111) ),
    introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).

fof(f603,plain,
    ( ~ sQ20_spl
    | ~ sQ88_spl ),
    inference(split_clause,[status(thm)],[f207,f600,f325]) ).

fof(f604,definition,
    ( sQ89_spl
  <=> c3_1(a110) ),
    introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).

fof(f606,plain,
    ( sQ89_spl
    | ~ c3_1(a110) ),
    inference(component_clause,[status(thm)],[f604]) ).

fof(f607,plain,
    ( ~ sQ21_spl
    | ~ sQ89_spl ),
    inference(split_clause,[status(thm)],[f208,f604,f329]) ).

fof(f608,definition,
    ( sQ90_spl
  <=> c1_1(a110) ),
    introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).

fof(f610,plain,
    ( sQ90_spl
    | ~ c1_1(a110) ),
    inference(component_clause,[status(thm)],[f608]) ).

fof(f611,plain,
    ( ~ sQ21_spl
    | ~ sQ90_spl ),
    inference(split_clause,[status(thm)],[f209,f608,f329]) ).

fof(f612,definition,
    ( sQ91_spl
  <=> c2_1(a110) ),
    introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).

fof(f614,plain,
    ( sQ91_spl
    | ~ c2_1(a110) ),
    inference(component_clause,[status(thm)],[f612]) ).

fof(f615,plain,
    ( ~ sQ21_spl
    | ~ sQ91_spl ),
    inference(split_clause,[status(thm)],[f210,f612,f329]) ).

fof(f616,definition,
    ( sQ92_spl
  <=> c2_1(a109) ),
    introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).

fof(f619,plain,
    ( ~ sQ22_spl
    | ~ sQ92_spl ),
    inference(split_clause,[status(thm)],[f211,f616,f333]) ).

fof(f620,definition,
    ( sQ93_spl
  <=> c1_1(a109) ),
    introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).

fof(f623,plain,
    ( ~ sQ22_spl
    | ~ sQ93_spl ),
    inference(split_clause,[status(thm)],[f212,f620,f333]) ).

fof(f624,definition,
    ( sQ94_spl
  <=> c2_1(a108) ),
    introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).

fof(f626,plain,
    ( sQ94_spl
    | ~ c2_1(a108) ),
    inference(component_clause,[status(thm)],[f624]) ).

fof(f627,plain,
    ( ~ sQ23_spl
    | ~ sQ94_spl ),
    inference(split_clause,[status(thm)],[f213,f624,f337]) ).

fof(f628,definition,
    ( sQ95_spl
  <=> c1_1(a108) ),
    introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).

fof(f630,plain,
    ( sQ95_spl
    | ~ c1_1(a108) ),
    inference(component_clause,[status(thm)],[f628]) ).

fof(f631,plain,
    ( ~ sQ23_spl
    | ~ sQ95_spl ),
    inference(split_clause,[status(thm)],[f214,f628,f337]) ).

fof(f632,definition,
    ( sQ96_spl
  <=> c3_1(a107) ),
    introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).

fof(f635,plain,
    ( ~ sQ24_spl
    | ~ sQ96_spl ),
    inference(split_clause,[status(thm)],[f215,f632,f341]) ).

fof(f636,definition,
    ( sQ97_spl
  <=> c1_1(a107) ),
    introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).

fof(f639,plain,
    ( ~ sQ24_spl
    | ~ sQ97_spl ),
    inference(split_clause,[status(thm)],[f216,f636,f341]) ).

fof(f640,definition,
    ( sQ98_spl
  <=> c0_1(a107) ),
    introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).

fof(f643,plain,
    ( ~ sQ24_spl
    | ~ sQ98_spl ),
    inference(split_clause,[status(thm)],[f217,f640,f341]) ).

fof(f644,definition,
    ( sQ99_spl
  <=> c1_1(a105) ),
    introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).

fof(f647,plain,
    ( ~ sQ25_spl
    | ~ sQ99_spl ),
    inference(split_clause,[status(thm)],[f218,f644,f345]) ).

fof(f648,definition,
    ( sQ100_spl
  <=> c2_1(a105) ),
    introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).

fof(f651,plain,
    ( ~ sQ25_spl
    | ~ sQ100_spl ),
    inference(split_clause,[status(thm)],[f219,f648,f345]) ).

fof(f652,definition,
    ! [X0] :
      ( sQ101_spl
    <=> ( c1_1(X0)
        | c0_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).

fof(f655,plain,
    ( sQ9_spl
    | sQ19_spl
    | sQ101_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f221,f249,f652,f321,f281]) ).

fof(f656,definition,
    ! [X0] :
      ( sQ102_spl
    <=> ( c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).

fof(f657,plain,
    ! [X0] :
      ( ~ sQ102_spl
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(component_clause,[status(thm)],[f656]) ).

fof(f659,plain,
    ( sQ23_spl
    | sQ24_spl
    | ~ sQ1_spl
    | sQ102_spl ),
    inference(split_clause,[status(thm)],[f223,f656,f249,f341,f337]) ).

fof(f660,definition,
    ! [X0] :
      ( sQ103_spl
    <=> ( c1_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).

fof(f663,plain,
    ( sQ15_spl
    | sQ4_spl
    | ~ sQ1_spl
    | sQ103_spl ),
    inference(split_clause,[status(thm)],[f225,f660,f249,f261,f305]) ).

fof(f664,definition,
    ! [X0] :
      ( sQ104_spl
    <=> ( c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).

fof(f665,plain,
    ! [X0] :
      ( ~ sQ104_spl
      | c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(component_clause,[status(thm)],[f664]) ).

fof(f667,plain,
    ( sQ0_spl
    | sQ2_spl
    | ~ sQ1_spl
    | sQ104_spl ),
    inference(split_clause,[status(thm)],[f227,f664,f249,f253,f246]) ).

fof(f668,definition,
    ! [X0] :
      ( sQ105_spl
    <=> ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).

fof(f669,plain,
    ! [X0] :
      ( ~ sQ105_spl
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(component_clause,[status(thm)],[f668]) ).

fof(f671,plain,
    ( sQ10_spl
    | sQ25_spl
    | ~ sQ1_spl
    | sQ105_spl ),
    inference(split_clause,[status(thm)],[f229,f668,f249,f345,f285]) ).

fof(f672,definition,
    ! [X0] :
      ( sQ106_spl
    <=> ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).

fof(f675,plain,
    ( sQ21_spl
    | sQ22_spl
    | ~ sQ1_spl
    | sQ106_spl ),
    inference(split_clause,[status(thm)],[f231,f672,f249,f333,f329]) ).

fof(f676,definition,
    ! [X0] :
      ( sQ107_spl
    <=> ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).

fof(f679,plain,
    ( sQ12_spl
    | sQ13_spl
    | ~ sQ1_spl
    | sQ107_spl ),
    inference(split_clause,[status(thm)],[f233,f676,f249,f297,f293]) ).

fof(f680,plain,
    ( sQ3_spl
    | sQ11_spl
    | ~ sQ1_spl
    | sQ105_spl ),
    inference(split_clause,[status(thm)],[f235,f668,f249,f289,f257]) ).

fof(f681,definition,
    ! [X1] :
      ( sQ108_spl
    <=> ( c0_1(X1)
        | c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).

fof(f682,plain,
    ! [X0] :
      ( ~ sQ108_spl
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(component_clause,[status(thm)],[f681]) ).

fof(f684,plain,
    ( sQ6_spl
    | sQ108_spl
    | ~ sQ1_spl
    | sQ104_spl ),
    inference(split_clause,[status(thm)],[f237,f664,f249,f681,f269]) ).

fof(f685,definition,
    ! [X1] :
      ( sQ109_spl
    <=> ( c3_1(X1)
        | c2_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).

fof(f688,plain,
    ( sQ20_spl
    | sQ109_spl
    | ~ sQ1_spl
    | sQ105_spl ),
    inference(split_clause,[status(thm)],[f239,f668,f249,f685,f325]) ).

fof(f689,definition,
    ! [X0] :
      ( sQ110_spl
    <=> ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).

fof(f690,plain,
    ! [X0] :
      ( ~ sQ110_spl
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(component_clause,[status(thm)],[f689]) ).

fof(f692,plain,
    ( sQ108_spl
    | sQ110_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f241,f249,f689,f681]) ).

fof(f693,definition,
    ! [X0] :
      ( sQ111_spl
    <=> ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).

fof(f696,definition,
    ! [X1] :
      ( sQ112_spl
    <=> ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).

fof(f697,plain,
    ! [X0] :
      ( ~ sQ112_spl
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(component_clause,[status(thm)],[f696]) ).

fof(f699,definition,
    ! [X2] :
      ( sQ113_spl
    <=> ( c0_1(X2)
        | c2_1(X2)
        | c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).

fof(f700,plain,
    ! [X0] :
      ( ~ sQ113_spl
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(component_clause,[status(thm)],[f699]) ).

fof(f702,plain,
    ( sQ113_spl
    | sQ112_spl
    | ~ sQ1_spl
    | sQ111_spl ),
    inference(split_clause,[status(thm)],[f243,f693,f249,f696,f699]) ).

fof(f703,definition,
    ! [X0] :
      ( sQ114_spl
    <=> ( ~ c1_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).

fof(f704,plain,
    ! [X0] :
      ( ~ sQ114_spl
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(component_clause,[status(thm)],[f703]) ).

fof(f706,definition,
    ! [X1] :
      ( sQ115_spl
    <=> ( c0_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).

fof(f707,plain,
    ! [X0] :
      ( ~ sQ115_spl
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(component_clause,[status(thm)],[f706]) ).

fof(f709,definition,
    ! [X2] :
      ( sQ116_spl
    <=> ( c2_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).

fof(f710,plain,
    ! [X0] :
      ( ~ sQ116_spl
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(component_clause,[status(thm)],[f709]) ).

fof(f712,plain,
    ( sQ116_spl
    | sQ115_spl
    | ~ sQ1_spl
    | sQ114_spl ),
    inference(split_clause,[status(thm)],[f245,f703,f249,f706,f709]) ).

fof(f713,plain,
    ( ~ sQ28_spl
    | ~ sQ108_spl
    | c0_1(a130)
    | c2_1(a130) ),
    inference(resolution,[status(thm)],[f682,f361]) ).

fof(f714,definition,
    ( sQ117_spl
  <=> c0_1(a130) ),
    introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).

fof(f715,plain,
    ( ~ sQ117_spl
    | c0_1(a130) ),
    inference(component_clause,[status(thm)],[f714]) ).

fof(f717,plain,
    ( ~ sQ28_spl
    | ~ sQ108_spl
    | sQ117_spl
    | sQ55_spl ),
    inference(split_clause,[status(thm)],[f713,f468,f714,f681,f360]) ).

fof(f718,plain,
    ! [X0] :
      ( ~ sQ104_spl
      | ~ sQ105_spl
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f665,f669]) ).

fof(f719,plain,
    ( ~ sQ46_spl
    | ~ sQ115_spl
    | c0_1(a122)
    | c1_1(a122) ),
    inference(resolution,[status(thm)],[f707,f433]) ).

fof(f720,definition,
    ( sQ118_spl
  <=> c0_1(a122) ),
    introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).

fof(f721,plain,
    ( ~ sQ118_spl
    | c0_1(a122) ),
    inference(component_clause,[status(thm)],[f720]) ).

fof(f723,plain,
    ( ~ sQ46_spl
    | ~ sQ115_spl
    | sQ118_spl
    | sQ76_spl ),
    inference(split_clause,[status(thm)],[f719,f552,f720,f706,f432]) ).

fof(f724,plain,
    ! [X0] :
      ( ~ sQ113_spl
      | ~ sQ116_spl
      | c0_1(X0)
      | c2_1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f700,f710]) ).

fof(f725,plain,
    ( sQ55_spl
    | ~ sQ113_spl
    | ~ sQ116_spl
    | c0_1(a130) ),
    inference(resolution,[status(thm)],[f724,f470]) ).

fof(f726,plain,
    ( ~ sQ113_spl
    | ~ sQ116_spl
    | sQ81_spl
    | c0_1(a118) ),
    inference(resolution,[status(thm)],[f574,f724]) ).

fof(f727,plain,
    ( ~ sQ104_spl
    | ~ sQ105_spl
    | ~ sQ39_spl
    | c3_1(a115) ),
    inference(resolution,[status(thm)],[f405,f718]) ).

fof(f728,plain,
    ( ~ sQ113_spl
    | ~ sQ116_spl
    | sQ91_spl
    | c0_1(a110) ),
    inference(resolution,[status(thm)],[f614,f724]) ).

fof(f729,plain,
    ( ~ sQ113_spl
    | ~ sQ116_spl
    | sQ70_spl
    | c0_1(a127) ),
    inference(resolution,[status(thm)],[f530,f724]) ).

fof(f730,plain,
    ( ~ sQ113_spl
    | ~ sQ116_spl
    | sQ94_spl
    | c0_1(a108) ),
    inference(resolution,[status(thm)],[f626,f724]) ).

fof(f731,plain,
    ( ~ sQ113_spl
    | ~ sQ116_spl
    | sQ81_spl
    | sQ83_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f726,f582]) ).

fof(f732,plain,
    ( ~ sQ113_spl
    | ~ sQ116_spl
    | sQ81_spl
    | sQ83_spl ),
    inference(contradiction_clause,[status(thm)],[f731]) ).

fof(f733,plain,
    ( ~ sQ39_spl
    | ~ sQ114_spl
    | ~ c0_1(a115)
    | ~ c2_1(a115) ),
    inference(resolution,[status(thm)],[f704,f405]) ).

fof(f734,plain,
    ( ~ sQ39_spl
    | ~ sQ114_spl
    | ~ sQ63_spl
    | ~ sQ38_spl ),
    inference(split_clause,[status(thm)],[f733,f400,f500,f703,f404]) ).

fof(f735,plain,
    ! [X0] :
      ( ~ sQ110_spl
      | ~ sQ104_spl
      | ~ sQ105_spl
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f690,f718]) ).

fof(f736,plain,
    ( ~ sQ39_spl
    | ~ sQ110_spl
    | ~ sQ104_spl
    | ~ sQ105_spl
    | ~ c0_1(a115) ),
    inference(resolution,[status(thm)],[f735,f405]) ).

fof(model,axiom,
    ( ~ sQ0_spl
    | sQ1_spl
    | sQ2_spl
    | ~ sQ3_spl
    | ~ sQ4_spl
    | ~ sQ5_spl
    | ~ sQ6_spl
    | ~ sQ7_spl
    | sQ8_spl
    | sQ9_spl
    | ~ sQ10_spl
    | ~ sQ11_spl
    | sQ12_spl
    | ~ sQ13_spl
    | sQ14_spl
    | sQ15_spl
    | ~ sQ16_spl
    | sQ17_spl
    | ~ sQ18_spl
    | ~ sQ19_spl
    | ~ sQ20_spl
    | sQ21_spl
    | ~ sQ22_spl
    | sQ23_spl
    | ~ sQ24_spl
    | ~ sQ25_spl
    | sQ28_spl
    | sQ38_spl
    | sQ39_spl
    | sQ40_spl
    | sQ45_spl
    | sQ46_spl
    | sQ52_spl
    | ~ sQ55_spl
    | ~ sQ56_spl
    | ~ sQ63_spl
    | ~ sQ64_spl
    | ~ sQ65_spl
    | ~ sQ70_spl
    | ~ sQ71_spl
    | ~ sQ72_spl
    | ~ sQ74_spl
    | ~ sQ75_spl
    | ~ sQ76_spl
    | ~ sQ77_spl
    | ~ sQ81_spl
    | ~ sQ82_spl
    | ~ sQ83_spl
    | ~ sQ89_spl
    | ~ sQ90_spl
    | ~ sQ91_spl
    | ~ sQ94_spl
    | ~ sQ95_spl
    | sQ102_spl
    | sQ104_spl
    | sQ105_spl
    | sQ110_spl
    | sQ112_spl
    | sQ114_spl
    | ~ sQ116_spl
    | sQ117_spl
    | sQ118_spl ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SYN430-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.07  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50  % Computer : n013.cluster.edu
% 0.20/0.50  % Model    : x86_64 x86_64
% 0.20/0.50  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.50  % Memory   : 8046.5625MB
% 0.20/0.50  % OS       : Linux 6.8.0-71-generic
% 0.20/0.50  % CPULimit : 300
% 0.20/0.50  % WCLimit  : 300
% 0.20/0.50  % DateTime : Mon Sep 21 10:54:20 UTC 2026
% 0.20/0.50  % CPUTime  : 
% 0.24/0.53  % Drodi V4.1.1
% 0.24/0.54  % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.24/0.54  % SZS output start Saturation for theBenchmark
% See solution above
% 0.24/0.61  % Elapsed time: 0.100318 seconds
% 0.24/0.61  % CPU time: 0.096510 seconds
% 0.24/0.61  % Total memory used: 4.279 MB
% 0.24/0.61  % Net memory used: 4.262 MB
%------------------------------------------------------------------------------