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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SYN524-1 : 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 : n005.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 03:19:56 PM UTC 2026

% Result   : Satisfiable 0.14s 0.39s
% Output   : Saturation 0.14s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( ssSkC3
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ( ssSkC2
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ( ssSkC1
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ( c5_0
    | c1_0
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ( c2_0
    | c4_0
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ( ndr1_0
    | ~ c3_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    ( ndr1_0
    | ~ ssSkC3
    | ~ ssSkC2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    ( ndr1_0
    | ~ c5_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    ( c1_0
    | ndr1_0
    | ~ ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ! [U] :
      ( ssSkP1(U)
      | ndr1_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    ! [U] :
      ( ssSkP0(U)
      | ndr1_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,negated_conjecture,
    ( ssSkC2
    | c3_1(a169) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,negated_conjecture,
    ( ssSkC1
    | ndr1_1(a161) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    ( ssSkC1
    | c4_1(a161) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ( c5_0
    | c1_0
    | ndr1_1(a183) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    ( c5_0
    | c1_0
    | c2_1(a183) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,negated_conjecture,
    ( c2_0
    | c4_0
    | c1_1(a181) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,negated_conjecture,
    ( c2_1(a180)
    | ~ c3_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,negated_conjecture,
    ( c3_1(a180)
    | ~ c3_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ( ndr1_0
    | ~ c4_0
    | ~ ssSkC4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,negated_conjecture,
    ( ndr1_1(a171)
    | ~ ssSkC3
    | ~ ssSkC2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,negated_conjecture,
    ( ndr1_1(a165)
    | ~ c5_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,negated_conjecture,
    ( c1_1(a165)
    | ~ c5_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,negated_conjecture,
    ( c1_0
    | c3_1(a158)
    | ~ ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,negated_conjecture,
    ( c1_0
    | c5_1(a158)
    | ~ ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,negated_conjecture,
    ( c2_0
    | c3_0
    | ~ c4_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,negated_conjecture,
    ! [U] :
      ( ssSkP0(U)
      | c2_2(U,a176) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,negated_conjecture,
    ( ssSkC3
    | ~ c1_1(a170) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,negated_conjecture,
    ( ssSkC3
    | ~ c3_1(a170) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,negated_conjecture,
    ( ssSkC1
    | c3_2(a161,a162) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,negated_conjecture,
    ( ssSkC1
    | c5_2(a161,a162) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,negated_conjecture,
    ( ssSkC1
    | c1_2(a161,a162) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,negated_conjecture,
    ( ssSkC1
    | ~ c3_1(a161) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f34,negated_conjecture,
    ( c5_0
    | c1_0
    | c1_2(a183,a184) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f35,negated_conjecture,
    ( c2_0
    | c4_0
    | ~ c4_1(a181) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f36,negated_conjecture,
    ( c1_1(a175)
    | ~ c4_0
    | ~ ssSkC4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,negated_conjecture,
    ( c2_1(a175)
    | ~ c4_0
    | ~ ssSkC4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,negated_conjecture,
    ( c3_2(a171,a172)
    | ~ ssSkC3
    | ~ ssSkC2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f39,negated_conjecture,
    ( ~ c4_1(a171)
    | ~ ssSkC3
    | ~ ssSkC2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,negated_conjecture,
    ( c1_2(a165,a166)
    | ~ c5_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41,negated_conjecture,
    ( c3_2(a165,a166)
    | ~ c5_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f42,negated_conjecture,
    ! [U] :
      ( ssSkP1(U)
      | ~ c2_2(U,a185) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f43,negated_conjecture,
    ! [U] :
      ( ssSkP1(U)
      | ~ c3_2(U,a185) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,negated_conjecture,
    ! [U] :
      ( ssSkP0(U)
      | ~ c4_2(U,a176) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f45,negated_conjecture,
    ( c5_0
    | c1_0
    | ~ c5_2(a183,a184) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f46,negated_conjecture,
    ( ndr1_1(a178)
    | ~ c3_0
    | ~ c2_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f47,negated_conjecture,
    ( c4_1(a178)
    | ~ c3_0
    | ~ c2_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f48,negated_conjecture,
    ( ~ c1_2(a171,a172)
    | ~ ssSkC3
    | ~ ssSkC2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f49,negated_conjecture,
    ( ~ c5_0
    | ~ c5_2(a165,a166) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f50,negated_conjecture,
    ( c5_2(a178,a179)
    | ~ c3_0
    | ~ c2_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f51,negated_conjecture,
    ( ~ c3_0
    | ~ c2_0
    | ~ c4_2(a178,a179) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f52,negated_conjecture,
    ! [U] :
      ( c3_0
      | ndr1_1(U)
      | ~ ndr1_0
      | ~ c3_1(U)
      | ~ ssSkP1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f53,negated_conjecture,
    ! [U] :
      ( c5_0
      | ndr1_1(U)
      | ~ c1_0
      | ~ ndr1_0
      | ~ c2_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f54,negated_conjecture,
    ! [U] :
      ( ssSkC4
      | c1_1(U)
      | ndr1_1(U)
      | ~ ndr1_0
      | ~ c3_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f55,negated_conjecture,
    ! [U] :
      ( c3_0
      | c4_2(U,a186)
      | ~ ndr1_0
      | ~ c3_1(U)
      | ~ ssSkP1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f56,negated_conjecture,
    ! [U] :
      ( c5_0
      | c1_2(U,a187)
      | ~ c1_0
      | ~ ndr1_0
      | ~ c2_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f57,negated_conjecture,
    ! [U] :
      ( c5_0
      | c2_2(U,a187)
      | ~ c1_0
      | ~ ndr1_0
      | ~ c2_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f58,negated_conjecture,
    ! [U] :
      ( c5_0
      | c1_0
      | c2_2(a183,U)
      | c3_2(a183,U)
      | ~ ndr1_1(a183) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f59,negated_conjecture,
    ! [U] :
      ( c3_0
      | ~ ndr1_0
      | ~ c3_1(U)
      | ~ c1_2(U,a186)
      | ~ ssSkP1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f60,negated_conjecture,
    ! [U] :
      ( c5_0
      | ~ c1_0
      | ~ ndr1_0
      | ~ c2_1(U)
      | ~ c5_2(U,a187) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f61,negated_conjecture,
    ! [U] :
      ( ssSkC4
      | c1_1(U)
      | ~ ndr1_0
      | ~ c3_1(U)
      | ~ c2_2(U,a174) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f62,negated_conjecture,
    ! [U] :
      ( ssSkC4
      | c1_1(U)
      | ~ ndr1_0
      | ~ c3_1(U)
      | ~ c5_2(U,a174) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f63,negated_conjecture,
    ! [U] :
      ( ssSkC4
      | c1_1(U)
      | ~ ndr1_0
      | ~ c3_1(U)
      | ~ c1_2(U,a174) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f64,negated_conjecture,
    ! [U] :
      ( c3_2(a178,U)
      | c4_2(a178,U)
      | ~ c3_0
      | ~ c2_0
      | ~ ndr1_1(a178) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f65,negated_conjecture,
    ! [U] :
      ( ~ ndr1_1(a171)
      | ~ c5_2(a171,U)
      | ~ c4_2(a171,U)
      | ~ ssSkC3
      | ~ ssSkC2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f66,negated_conjecture,
    ! [U] :
      ( ssSkC2
      | c5_2(a169,U)
      | c3_2(a169,U)
      | c2_2(a169,U)
      | ~ ndr1_1(a169) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f67,negated_conjecture,
    ! [U] :
      ( ndr1_1(a167)
      | c1_1(U)
      | ~ c2_0
      | ~ ndr1_0
      | ~ c2_1(U)
      | ~ c5_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f68,negated_conjecture,
    ! [U] :
      ( c1_0
      | c4_2(a158,U)
      | c5_2(a158,U)
      | c1_2(a158,U)
      | ~ ndr1_1(a158)
      | ~ ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f69,negated_conjecture,
    ! [U] :
      ( c2_0
      | c4_0
      | c3_2(a181,U)
      | c5_2(a181,U)
      | ~ ndr1_1(a181)
      | ~ c1_2(a181,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f70,negated_conjecture,
    ! [U] :
      ( c2_2(a167,a168)
      | c1_1(U)
      | ~ c2_0
      | ~ ndr1_0
      | ~ c2_1(U)
      | ~ c5_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f71,negated_conjecture,
    ! [U] :
      ( c3_2(a167,a168)
      | c1_1(U)
      | ~ c2_0
      | ~ ndr1_0
      | ~ c2_1(U)
      | ~ c5_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f72,negated_conjecture,
    ! [U] :
      ( c4_2(a167,a168)
      | c1_1(U)
      | ~ c2_0
      | ~ ndr1_0
      | ~ c2_1(U)
      | ~ c5_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f73,negated_conjecture,
    ! [U] :
      ( c4_2(a165,U)
      | c5_2(a165,U)
      | ~ c5_0
      | ~ ndr1_1(a165)
      | ~ c3_2(a165,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f74,negated_conjecture,
    ! [U] :
      ( ~ c3_0
      | ~ c2_0
      | ~ ndr1_0
      | ~ c3_1(U)
      | ~ c5_1(U)
      | ~ c4_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f75,negated_conjecture,
    ! [U] :
      ( c4_2(a180,U)
      | ~ c3_0
      | ~ ndr1_1(a180)
      | ~ c1_2(a180,U)
      | ~ c5_2(a180,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f76,negated_conjecture,
    ! [U] :
      ( c4_2(a175,U)
      | c2_2(a175,U)
      | ~ c4_0
      | ~ ndr1_1(a175)
      | ~ c3_2(a175,U)
      | ~ ssSkC4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f77,negated_conjecture,
    ! [U,V] :
      ( c3_0
      | ndr1_1(U)
      | c4_1(V)
      | ~ c1_1(U)
      | ~ ndr1_0
      | ~ c2_1(V)
      | ~ c5_1(V)
      | ~ ssSkP0(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f78,negated_conjecture,
    ! [U,V] :
      ( ssSkC0
      | c2_2(U,a157)
      | c5_2(U,V)
      | c1_2(U,V)
      | ~ ndr1_0
      | ~ c5_1(U)
      | ~ ndr1_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f79,negated_conjecture,
    ! [U,V] :
      ( c3_0
      | c2_2(U,a177)
      | c4_1(V)
      | ~ c1_1(U)
      | ~ ndr1_0
      | ~ c2_1(V)
      | ~ c5_1(V)
      | ~ ssSkP0(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f80,negated_conjecture,
    ! [U,V] :
      ( c3_0
      | c4_2(U,a177)
      | c4_1(V)
      | ~ c1_1(U)
      | ~ ndr1_0
      | ~ c2_1(V)
      | ~ c5_1(V)
      | ~ ssSkP0(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f81,negated_conjecture,
    ! [U,V] :
      ( c3_0
      | c3_2(U,a177)
      | c4_1(V)
      | ~ c1_1(U)
      | ~ ndr1_0
      | ~ c2_1(V)
      | ~ c5_1(V)
      | ~ ssSkP0(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f82,negated_conjecture,
    ! [U,V] :
      ( ssSkC0
      | c5_2(U,V)
      | c1_2(U,V)
      | ~ ndr1_0
      | ~ c5_1(U)
      | ~ c3_2(U,a157)
      | ~ ndr1_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f83,negated_conjecture,
    ! [U,V] :
      ( ndr1_1(a163)
      | c1_1(U)
      | c2_1(U)
      | ~ ndr1_0
      | ~ ndr1_1(U)
      | ~ c1_2(U,V)
      | ~ c4_2(U,V)
      | ~ ssSkC1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f84,negated_conjecture,
    ! [U,V] :
      ( c3_1(a163)
      | c1_1(U)
      | c2_1(U)
      | ~ ndr1_0
      | ~ ndr1_1(U)
      | ~ c1_2(U,V)
      | ~ c4_2(U,V)
      | ~ ssSkC1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f85,negated_conjecture,
    ! [U,V] :
      ( ndr1_1(a159)
      | c3_1(U)
      | c1_1(U)
      | c2_2(U,V)
      | ~ c1_0
      | ~ ndr1_0
      | ~ ndr1_1(U)
      | ~ c5_2(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f86,negated_conjecture,
    ! [U,V] :
      ( c5_2(a163,a164)
      | c1_1(U)
      | c2_1(U)
      | ~ ndr1_0
      | ~ ndr1_1(U)
      | ~ c1_2(U,V)
      | ~ c4_2(U,V)
      | ~ ssSkC1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f87,negated_conjecture,
    ! [U,V] :
      ( c1_1(U)
      | c2_1(U)
      | ~ c2_1(a163)
      | ~ ndr1_0
      | ~ ndr1_1(U)
      | ~ c1_2(U,V)
      | ~ c4_2(U,V)
      | ~ ssSkC1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f88,negated_conjecture,
    ! [U,V] :
      ( c3_1(U)
      | c1_1(U)
      | c2_2(U,V)
      | ~ c1_0
      | ~ c2_1(a159)
      | ~ ndr1_0
      | ~ ndr1_1(U)
      | ~ c5_2(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f89,negated_conjecture,
    ! [U,V] :
      ( c3_1(U)
      | c1_1(U)
      | c2_2(U,V)
      | ~ c1_0
      | ~ c3_1(a159)
      | ~ ndr1_0
      | ~ ndr1_1(U)
      | ~ c5_2(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f90,negated_conjecture,
    ! [U,V] :
      ( c1_1(U)
      | c2_1(U)
      | ~ c1_2(a163,a164)
      | ~ ndr1_0
      | ~ ndr1_1(U)
      | ~ c1_2(U,V)
      | ~ c4_2(U,V)
      | ~ ssSkC1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f91,negated_conjecture,
    ! [U,V] :
      ( c1_1(U)
      | c2_1(U)
      | ~ c3_2(a163,a164)
      | ~ ndr1_0
      | ~ ndr1_1(U)
      | ~ c1_2(U,V)
      | ~ c4_2(U,V)
      | ~ ssSkC1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f92,negated_conjecture,
    ! [U,V] :
      ( c3_1(U)
      | c1_1(U)
      | c2_2(U,V)
      | ~ c1_0
      | ~ c3_2(a159,a160)
      | ~ ndr1_0
      | ~ ndr1_1(U)
      | ~ c5_2(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f93,negated_conjecture,
    ! [U,V] :
      ( c3_1(U)
      | c1_1(U)
      | c2_2(U,V)
      | ~ c1_0
      | ~ c5_2(a159,a160)
      | ~ ndr1_0
      | ~ ndr1_1(U)
      | ~ c5_2(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f94,negated_conjecture,
    ! [U,V,W] :
      ( ndr1_1(W)
      | c4_2(U,V)
      | c5_2(U,V)
      | c2_2(U,V)
      | ~ c5_0
      | ~ ndr1_0
      | ~ c5_1(U)
      | ~ c2_1(U)
      | ~ ndr1_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f95,negated_conjecture,
    ! [U,V] :
      ( c1_1(U)
      | ~ c2_0
      | ~ ndr1_1(a167)
      | ~ c1_2(a167,V)
      | ~ c3_2(a167,V)
      | ~ ndr1_0
      | ~ c2_1(U)
      | ~ c5_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f96,negated_conjecture,
    ! [U,V,W] :
      ( c4_2(U,W)
      | c5_2(U,W)
      | c2_2(U,W)
      | ~ c5_0
      | ~ c5_2(V,a173)
      | ~ ndr1_0
      | ~ c5_1(U)
      | ~ c2_1(U)
      | ~ ndr1_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f97,negated_conjecture,
    ! [U,V,W] :
      ( c4_2(U,W)
      | c5_2(U,W)
      | c2_2(U,W)
      | ~ c5_0
      | ~ c3_2(V,a173)
      | ~ ndr1_0
      | ~ c5_1(U)
      | ~ c2_1(U)
      | ~ ndr1_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f98,negated_conjecture,
    ! [U,V] :
      ( c4_2(a167,V)
      | c1_1(U)
      | ~ c2_0
      | ~ ndr1_1(a167)
      | ~ c1_2(a167,V)
      | ~ c2_2(a167,V)
      | ~ ndr1_0
      | ~ c2_1(U)
      | ~ c5_1(U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f99,negated_conjecture,
    ! [U,V,W,X] :
      ( c3_0
      | c1_1(W)
      | c5_2(W,a182)
      | c1_2(W,X)
      | c2_2(W,X)
      | ~ ndr1_1(W)
      | ~ c3_2(W,X)
      | ~ ndr1_0
      | ~ c4_1(U)
      | ~ c1_1(U)
      | ~ ndr1_1(U)
      | ~ c1_2(U,V)
      | ~ c3_2(U,V)
      | ~ c4_2(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f100,negated_conjecture,
    ! [U,V,W,X] :
      ( c3_0
      | c1_1(W)
      | c1_2(W,X)
      | c2_2(W,X)
      | ~ c3_2(W,a182)
      | ~ ndr1_1(W)
      | ~ c3_2(W,X)
      | ~ ndr1_0
      | ~ c4_1(U)
      | ~ c1_1(U)
      | ~ ndr1_1(U)
      | ~ c1_2(U,V)
      | ~ c3_2(U,V)
      | ~ c4_2(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f101,negated_conjecture,
    ! [U,V,W,X] :
      ( c3_0
      | c1_1(W)
      | c1_2(W,X)
      | c2_2(W,X)
      | ~ c2_2(W,a182)
      | ~ ndr1_1(W)
      | ~ c3_2(W,X)
      | ~ ndr1_0
      | ~ c4_1(U)
      | ~ c1_1(U)
      | ~ ndr1_1(U)
      | ~ c1_2(U,V)
      | ~ c3_2(U,V)
      | ~ c4_2(U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f102,plain,
    ( ssSkC3
    | ndr1_0 ),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f103,plain,
    ( ssSkC2
    | ndr1_0 ),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f104,plain,
    ( ssSkC1
    | ndr1_0 ),
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f105,plain,
    ( c5_0
    | c1_0
    | ndr1_0 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f106,plain,
    ( c2_0
    | c4_0
    | ndr1_0 ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f107,plain,
    ( ndr1_0
    | ~ c3_0 ),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f108,plain,
    ( ndr1_0
    | ~ ssSkC3
    | ~ ssSkC2 ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f109,plain,
    ( ndr1_0
    | ~ c5_0 ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f110,plain,
    ( c1_0
    | ndr1_0
    | ~ ssSkC0 ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f111,plain,
    ! [X0] :
      ( ssSkP1(X0)
      | ndr1_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f112,plain,
    ! [X0] :
      ( ssSkP0(X0)
      | ndr1_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f113,plain,
    ( ssSkC2
    | c3_1(a169) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f114,plain,
    ( ssSkC1
    | ndr1_1(a161) ),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f115,plain,
    ( ssSkC1
    | c4_1(a161) ),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f116,plain,
    ( c5_0
    | c1_0
    | ndr1_1(a183) ),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f117,plain,
    ( c5_0
    | c1_0
    | c2_1(a183) ),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f118,plain,
    ( c2_0
    | c4_0
    | c1_1(a181) ),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f119,plain,
    ( c2_1(a180)
    | ~ c3_0 ),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f120,plain,
    ( c3_1(a180)
    | ~ c3_0 ),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f121,plain,
    ( ndr1_0
    | ~ c4_0
    | ~ ssSkC4 ),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f122,plain,
    ( ndr1_1(a171)
    | ~ ssSkC3
    | ~ ssSkC2 ),
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f123,plain,
    ( ndr1_1(a165)
    | ~ c5_0 ),
    inference(cnf_transformation,[status(thm)],[f22]) ).

fof(f124,plain,
    ( c1_1(a165)
    | ~ c5_0 ),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f125,plain,
    ( c1_0
    | c3_1(a158)
    | ~ ssSkC0 ),
    inference(cnf_transformation,[status(thm)],[f24]) ).

fof(f126,plain,
    ( c1_0
    | c5_1(a158)
    | ~ ssSkC0 ),
    inference(cnf_transformation,[status(thm)],[f25]) ).

fof(f127,plain,
    ( c2_0
    | c3_0
    | ~ c4_0 ),
    inference(cnf_transformation,[status(thm)],[f26]) ).

fof(f128,plain,
    ! [X0] :
      ( ssSkP0(X0)
      | c2_2(X0,a176) ),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f129,plain,
    ( ssSkC3
    | ~ c1_1(a170) ),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f130,plain,
    ( ssSkC3
    | ~ c3_1(a170) ),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f131,plain,
    ( ssSkC1
    | c3_2(a161,a162) ),
    inference(cnf_transformation,[status(thm)],[f30]) ).

fof(f132,plain,
    ( ssSkC1
    | c5_2(a161,a162) ),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f133,plain,
    ( ssSkC1
    | c1_2(a161,a162) ),
    inference(cnf_transformation,[status(thm)],[f32]) ).

fof(f134,plain,
    ( ssSkC1
    | ~ c3_1(a161) ),
    inference(cnf_transformation,[status(thm)],[f33]) ).

fof(f135,plain,
    ( c5_0
    | c1_0
    | c1_2(a183,a184) ),
    inference(cnf_transformation,[status(thm)],[f34]) ).

fof(f136,plain,
    ( c2_0
    | c4_0
    | ~ c4_1(a181) ),
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f137,plain,
    ( c1_1(a175)
    | ~ c4_0
    | ~ ssSkC4 ),
    inference(cnf_transformation,[status(thm)],[f36]) ).

fof(f138,plain,
    ( c2_1(a175)
    | ~ c4_0
    | ~ ssSkC4 ),
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f139,plain,
    ( c3_2(a171,a172)
    | ~ ssSkC3
    | ~ ssSkC2 ),
    inference(cnf_transformation,[status(thm)],[f38]) ).

fof(f140,plain,
    ( ~ c4_1(a171)
    | ~ ssSkC3
    | ~ ssSkC2 ),
    inference(cnf_transformation,[status(thm)],[f39]) ).

fof(f141,plain,
    ( c1_2(a165,a166)
    | ~ c5_0 ),
    inference(cnf_transformation,[status(thm)],[f40]) ).

fof(f142,plain,
    ( c3_2(a165,a166)
    | ~ c5_0 ),
    inference(cnf_transformation,[status(thm)],[f41]) ).

fof(f143,plain,
    ! [X0] :
      ( ssSkP1(X0)
      | ~ c2_2(X0,a185) ),
    inference(cnf_transformation,[status(thm)],[f42]) ).

fof(f144,plain,
    ! [X0] :
      ( ssSkP1(X0)
      | ~ c3_2(X0,a185) ),
    inference(cnf_transformation,[status(thm)],[f43]) ).

fof(f145,plain,
    ! [X0] :
      ( ssSkP0(X0)
      | ~ c4_2(X0,a176) ),
    inference(cnf_transformation,[status(thm)],[f44]) ).

fof(f146,plain,
    ( c5_0
    | c1_0
    | ~ c5_2(a183,a184) ),
    inference(cnf_transformation,[status(thm)],[f45]) ).

fof(f147,plain,
    ( ndr1_1(a178)
    | ~ c3_0
    | ~ c2_0 ),
    inference(cnf_transformation,[status(thm)],[f46]) ).

fof(f148,plain,
    ( c4_1(a178)
    | ~ c3_0
    | ~ c2_0 ),
    inference(cnf_transformation,[status(thm)],[f47]) ).

fof(f149,plain,
    ( ~ c1_2(a171,a172)
    | ~ ssSkC3
    | ~ ssSkC2 ),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f150,plain,
    ( ~ c5_0
    | ~ c5_2(a165,a166) ),
    inference(cnf_transformation,[status(thm)],[f49]) ).

fof(f151,plain,
    ( c5_2(a178,a179)
    | ~ c3_0
    | ~ c2_0 ),
    inference(cnf_transformation,[status(thm)],[f50]) ).

fof(f152,plain,
    ( ~ c3_0
    | ~ c2_0
    | ~ c4_2(a178,a179) ),
    inference(cnf_transformation,[status(thm)],[f51]) ).

fof(f153,plain,
    ( c3_0
    | ! [U] :
        ( ndr1_1(U)
        | ~ ndr1_0
        | ~ c3_1(U)
        | ~ ssSkP1(U) ) ),
    inference(miniscoping,[status(thm)],[f52]) ).

fof(f154,plain,
    ! [X0] :
      ( c3_0
      | ndr1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ ssSkP1(X0) ),
    inference(cnf_transformation,[status(thm)],[f153]) ).

fof(f155,plain,
    ( c5_0
    | ! [U] :
        ( ndr1_1(U)
        | ~ c1_0
        | ~ ndr1_0
        | ~ c2_1(U) ) ),
    inference(miniscoping,[status(thm)],[f53]) ).

fof(f156,plain,
    ! [X0] :
      ( c5_0
      | ndr1_1(X0)
      | ~ c1_0
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f155]) ).

fof(f157,plain,
    ( ssSkC4
    | ! [U] :
        ( c1_1(U)
        | ndr1_1(U)
        | ~ ndr1_0
        | ~ c3_1(U) ) ),
    inference(miniscoping,[status(thm)],[f54]) ).

fof(f158,plain,
    ! [X0] :
      ( ssSkC4
      | c1_1(X0)
      | ndr1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f157]) ).

fof(f159,plain,
    ( c3_0
    | ! [U] :
        ( c4_2(U,a186)
        | ~ ndr1_0
        | ~ c3_1(U)
        | ~ ssSkP1(U) ) ),
    inference(miniscoping,[status(thm)],[f55]) ).

fof(f160,plain,
    ! [X0] :
      ( c3_0
      | c4_2(X0,a186)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ ssSkP1(X0) ),
    inference(cnf_transformation,[status(thm)],[f159]) ).

fof(f161,plain,
    ( c5_0
    | ! [U] :
        ( c1_2(U,a187)
        | ~ c1_0
        | ~ ndr1_0
        | ~ c2_1(U) ) ),
    inference(miniscoping,[status(thm)],[f56]) ).

fof(f162,plain,
    ! [X0] :
      ( c5_0
      | c1_2(X0,a187)
      | ~ c1_0
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f161]) ).

fof(f163,plain,
    ( c5_0
    | ! [U] :
        ( c2_2(U,a187)
        | ~ c1_0
        | ~ ndr1_0
        | ~ c2_1(U) ) ),
    inference(miniscoping,[status(thm)],[f57]) ).

fof(f164,plain,
    ! [X0] :
      ( c5_0
      | c2_2(X0,a187)
      | ~ c1_0
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f163]) ).

fof(f165,plain,
    ( c5_0
    | c1_0
    | ! [U] :
        ( c2_2(a183,U)
        | c3_2(a183,U)
        | ~ ndr1_1(a183) ) ),
    inference(miniscoping,[status(thm)],[f58]) ).

fof(f166,plain,
    ! [X0] :
      ( c5_0
      | c1_0
      | c2_2(a183,X0)
      | c3_2(a183,X0)
      | ~ ndr1_1(a183) ),
    inference(cnf_transformation,[status(thm)],[f165]) ).

fof(f167,plain,
    ( c3_0
    | ~ ndr1_0
    | ! [U] :
        ( ~ c3_1(U)
        | ~ c1_2(U,a186)
        | ~ ssSkP1(U) ) ),
    inference(miniscoping,[status(thm)],[f59]) ).

fof(f168,plain,
    ! [X0] :
      ( c3_0
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_2(X0,a186)
      | ~ ssSkP1(X0) ),
    inference(cnf_transformation,[status(thm)],[f167]) ).

fof(f169,plain,
    ( c5_0
    | ~ c1_0
    | ~ ndr1_0
    | ! [U] :
        ( ~ c2_1(U)
        | ~ c5_2(U,a187) ) ),
    inference(miniscoping,[status(thm)],[f60]) ).

fof(f170,plain,
    ! [X0] :
      ( c5_0
      | ~ c1_0
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c5_2(X0,a187) ),
    inference(cnf_transformation,[status(thm)],[f169]) ).

fof(f171,plain,
    ( ssSkC4
    | ! [U] :
        ( c1_1(U)
        | ~ ndr1_0
        | ~ c3_1(U)
        | ~ c2_2(U,a174) ) ),
    inference(miniscoping,[status(thm)],[f61]) ).

fof(f172,plain,
    ! [X0] :
      ( ssSkC4
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_2(X0,a174) ),
    inference(cnf_transformation,[status(thm)],[f171]) ).

fof(f173,plain,
    ( ssSkC4
    | ! [U] :
        ( c1_1(U)
        | ~ ndr1_0
        | ~ c3_1(U)
        | ~ c5_2(U,a174) ) ),
    inference(miniscoping,[status(thm)],[f62]) ).

fof(f174,plain,
    ! [X0] :
      ( ssSkC4
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c5_2(X0,a174) ),
    inference(cnf_transformation,[status(thm)],[f173]) ).

fof(f175,plain,
    ( ssSkC4
    | ! [U] :
        ( c1_1(U)
        | ~ ndr1_0
        | ~ c3_1(U)
        | ~ c1_2(U,a174) ) ),
    inference(miniscoping,[status(thm)],[f63]) ).

fof(f176,plain,
    ! [X0] :
      ( ssSkC4
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_2(X0,a174) ),
    inference(cnf_transformation,[status(thm)],[f175]) ).

fof(f177,plain,
    ! [X0] :
      ( c3_2(a178,X0)
      | c4_2(a178,X0)
      | ~ c3_0
      | ~ c2_0
      | ~ ndr1_1(a178) ),
    inference(cnf_transformation,[status(thm)],[f64]) ).

fof(f178,plain,
    ( ~ ndr1_1(a171)
    | ! [U] :
        ( ~ c5_2(a171,U)
        | ~ c4_2(a171,U)
        | ~ ssSkC3
        | ~ ssSkC2 ) ),
    inference(miniscoping,[status(thm)],[f65]) ).

fof(f179,plain,
    ! [X0] :
      ( ~ ndr1_1(a171)
      | ~ c5_2(a171,X0)
      | ~ c4_2(a171,X0)
      | ~ ssSkC3
      | ~ ssSkC2 ),
    inference(cnf_transformation,[status(thm)],[f178]) ).

fof(f180,plain,
    ( ssSkC2
    | ! [U] :
        ( c5_2(a169,U)
        | c3_2(a169,U)
        | c2_2(a169,U)
        | ~ ndr1_1(a169) ) ),
    inference(miniscoping,[status(thm)],[f66]) ).

fof(f181,plain,
    ! [X0] :
      ( ssSkC2
      | c5_2(a169,X0)
      | c3_2(a169,X0)
      | c2_2(a169,X0)
      | ~ ndr1_1(a169) ),
    inference(cnf_transformation,[status(thm)],[f180]) ).

fof(f182,plain,
    ( ndr1_1(a167)
    | ! [U] :
        ( c1_1(U)
        | ~ c2_0
        | ~ ndr1_0
        | ~ c2_1(U)
        | ~ c5_1(U) ) ),
    inference(miniscoping,[status(thm)],[f67]) ).

fof(f183,plain,
    ! [X0] :
      ( ndr1_1(a167)
      | c1_1(X0)
      | ~ c2_0
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c5_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f182]) ).

fof(f184,plain,
    ( c1_0
    | ! [U] :
        ( c4_2(a158,U)
        | c5_2(a158,U)
        | c1_2(a158,U)
        | ~ ndr1_1(a158)
        | ~ ssSkC0 ) ),
    inference(miniscoping,[status(thm)],[f68]) ).

fof(f185,plain,
    ! [X0] :
      ( c1_0
      | c4_2(a158,X0)
      | c5_2(a158,X0)
      | c1_2(a158,X0)
      | ~ ndr1_1(a158)
      | ~ ssSkC0 ),
    inference(cnf_transformation,[status(thm)],[f184]) ).

fof(f186,plain,
    ( c2_0
    | c4_0
    | ! [U] :
        ( c3_2(a181,U)
        | c5_2(a181,U)
        | ~ ndr1_1(a181)
        | ~ c1_2(a181,U) ) ),
    inference(miniscoping,[status(thm)],[f69]) ).

fof(f187,plain,
    ! [X0] :
      ( c2_0
      | c4_0
      | c3_2(a181,X0)
      | c5_2(a181,X0)
      | ~ ndr1_1(a181)
      | ~ c1_2(a181,X0) ),
    inference(cnf_transformation,[status(thm)],[f186]) ).

fof(f188,plain,
    ( c2_2(a167,a168)
    | ! [U] :
        ( c1_1(U)
        | ~ c2_0
        | ~ ndr1_0
        | ~ c2_1(U)
        | ~ c5_1(U) ) ),
    inference(miniscoping,[status(thm)],[f70]) ).

fof(f189,plain,
    ! [X0] :
      ( c2_2(a167,a168)
      | c1_1(X0)
      | ~ c2_0
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c5_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f188]) ).

fof(f190,plain,
    ( c3_2(a167,a168)
    | ! [U] :
        ( c1_1(U)
        | ~ c2_0
        | ~ ndr1_0
        | ~ c2_1(U)
        | ~ c5_1(U) ) ),
    inference(miniscoping,[status(thm)],[f71]) ).

fof(f191,plain,
    ! [X0] :
      ( c3_2(a167,a168)
      | c1_1(X0)
      | ~ c2_0
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c5_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f190]) ).

fof(f192,plain,
    ( c4_2(a167,a168)
    | ! [U] :
        ( c1_1(U)
        | ~ c2_0
        | ~ ndr1_0
        | ~ c2_1(U)
        | ~ c5_1(U) ) ),
    inference(miniscoping,[status(thm)],[f72]) ).

fof(f193,plain,
    ! [X0] :
      ( c4_2(a167,a168)
      | c1_1(X0)
      | ~ c2_0
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c5_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f192]) ).

fof(f194,plain,
    ! [X0] :
      ( c4_2(a165,X0)
      | c5_2(a165,X0)
      | ~ c5_0
      | ~ ndr1_1(a165)
      | ~ c3_2(a165,X0) ),
    inference(cnf_transformation,[status(thm)],[f73]) ).

fof(f195,plain,
    ( ~ c3_0
    | ~ c2_0
    | ~ ndr1_0
    | ! [U] :
        ( ~ c3_1(U)
        | ~ c5_1(U)
        | ~ c4_1(U) ) ),
    inference(miniscoping,[status(thm)],[f74]) ).

fof(f196,plain,
    ! [X0] :
      ( ~ c3_0
      | ~ c2_0
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c5_1(X0)
      | ~ c4_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f195]) ).

fof(f197,plain,
    ! [X0] :
      ( c4_2(a180,X0)
      | ~ c3_0
      | ~ ndr1_1(a180)
      | ~ c1_2(a180,X0)
      | ~ c5_2(a180,X0) ),
    inference(cnf_transformation,[status(thm)],[f75]) ).

fof(f198,plain,
    ! [X0] :
      ( c4_2(a175,X0)
      | c2_2(a175,X0)
      | ~ c4_0
      | ~ ndr1_1(a175)
      | ~ c3_2(a175,X0)
      | ~ ssSkC4 ),
    inference(cnf_transformation,[status(thm)],[f76]) ).

fof(f199,plain,
    ( c3_0
    | ! [U] :
        ( ndr1_1(U)
        | ! [V] :
            ( c4_1(V)
            | ~ c1_1(U)
            | ~ ndr1_0
            | ~ c2_1(V)
            | ~ c5_1(V)
            | ~ ssSkP0(U) ) ) ),
    inference(miniscoping,[status(thm)],[f77]) ).

fof(f200,plain,
    ! [X0,X1] :
      ( c3_0
      | ndr1_1(X0)
      | c4_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c5_1(X1)
      | ~ ssSkP0(X0) ),
    inference(cnf_transformation,[status(thm)],[f199]) ).

fof(f201,plain,
    ( ssSkC0
    | ! [U] :
        ( c2_2(U,a157)
        | ! [V] :
            ( c5_2(U,V)
            | c1_2(U,V)
            | ~ ndr1_0
            | ~ c5_1(U)
            | ~ ndr1_1(U) ) ) ),
    inference(miniscoping,[status(thm)],[f78]) ).

fof(f202,plain,
    ! [X0,X1] :
      ( ssSkC0
      | c2_2(X0,a157)
      | c5_2(X0,X1)
      | c1_2(X0,X1)
      | ~ ndr1_0
      | ~ c5_1(X0)
      | ~ ndr1_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f201]) ).

fof(f203,plain,
    ( c3_0
    | ! [U] :
        ( c2_2(U,a177)
        | ! [V] :
            ( c4_1(V)
            | ~ c1_1(U)
            | ~ ndr1_0
            | ~ c2_1(V)
            | ~ c5_1(V)
            | ~ ssSkP0(U) ) ) ),
    inference(miniscoping,[status(thm)],[f79]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( c3_0
      | c2_2(X0,a177)
      | c4_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c5_1(X1)
      | ~ ssSkP0(X0) ),
    inference(cnf_transformation,[status(thm)],[f203]) ).

fof(f205,plain,
    ( c3_0
    | ! [U] :
        ( c4_2(U,a177)
        | ! [V] :
            ( c4_1(V)
            | ~ c1_1(U)
            | ~ ndr1_0
            | ~ c2_1(V)
            | ~ c5_1(V)
            | ~ ssSkP0(U) ) ) ),
    inference(miniscoping,[status(thm)],[f80]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( c3_0
      | c4_2(X0,a177)
      | c4_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c5_1(X1)
      | ~ ssSkP0(X0) ),
    inference(cnf_transformation,[status(thm)],[f205]) ).

fof(f207,plain,
    ( c3_0
    | ! [U] :
        ( c3_2(U,a177)
        | ! [V] :
            ( c4_1(V)
            | ~ c1_1(U)
            | ~ ndr1_0
            | ~ c2_1(V)
            | ~ c5_1(V)
            | ~ ssSkP0(U) ) ) ),
    inference(miniscoping,[status(thm)],[f81]) ).

fof(f208,plain,
    ! [X0,X1] :
      ( c3_0
      | c3_2(X0,a177)
      | c4_1(X1)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c5_1(X1)
      | ~ ssSkP0(X0) ),
    inference(cnf_transformation,[status(thm)],[f207]) ).

fof(f209,plain,
    ( ssSkC0
    | ! [U,V] :
        ( c5_2(U,V)
        | c1_2(U,V)
        | ~ ndr1_0
        | ~ c5_1(U)
        | ~ c3_2(U,a157)
        | ~ ndr1_1(U) ) ),
    inference(miniscoping,[status(thm)],[f82]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( ssSkC0
      | c5_2(X0,X1)
      | c1_2(X0,X1)
      | ~ ndr1_0
      | ~ c5_1(X0)
      | ~ c3_2(X0,a157)
      | ~ ndr1_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f209]) ).

fof(f211,plain,
    ( ndr1_1(a163)
    | ! [U] :
        ( c1_1(U)
        | c2_1(U)
        | ~ ndr1_0
        | ~ ndr1_1(U)
        | ! [V] :
            ( ~ c1_2(U,V)
            | ~ c4_2(U,V)
            | ~ ssSkC1 ) ) ),
    inference(miniscoping,[status(thm)],[f83]) ).

fof(f212,plain,
    ! [X0,X1] :
      ( ndr1_1(a163)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c1_2(X0,X1)
      | ~ c4_2(X0,X1)
      | ~ ssSkC1 ),
    inference(cnf_transformation,[status(thm)],[f211]) ).

fof(f213,plain,
    ( c3_1(a163)
    | ! [U] :
        ( c1_1(U)
        | c2_1(U)
        | ~ ndr1_0
        | ~ ndr1_1(U)
        | ! [V] :
            ( ~ c1_2(U,V)
            | ~ c4_2(U,V)
            | ~ ssSkC1 ) ) ),
    inference(miniscoping,[status(thm)],[f84]) ).

fof(f214,plain,
    ! [X0,X1] :
      ( c3_1(a163)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c1_2(X0,X1)
      | ~ c4_2(X0,X1)
      | ~ ssSkC1 ),
    inference(cnf_transformation,[status(thm)],[f213]) ).

fof(f215,plain,
    ( ndr1_1(a159)
    | ! [U] :
        ( c3_1(U)
        | c1_1(U)
        | ! [V] :
            ( c2_2(U,V)
            | ~ c1_0
            | ~ ndr1_0
            | ~ ndr1_1(U)
            | ~ c5_2(U,V) ) ) ),
    inference(miniscoping,[status(thm)],[f85]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( ndr1_1(a159)
      | c3_1(X0)
      | c1_1(X0)
      | c2_2(X0,X1)
      | ~ c1_0
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c5_2(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f215]) ).

fof(f217,plain,
    ( c5_2(a163,a164)
    | ! [U] :
        ( c1_1(U)
        | c2_1(U)
        | ~ ndr1_0
        | ~ ndr1_1(U)
        | ! [V] :
            ( ~ c1_2(U,V)
            | ~ c4_2(U,V)
            | ~ ssSkC1 ) ) ),
    inference(miniscoping,[status(thm)],[f86]) ).

fof(f218,plain,
    ! [X0,X1] :
      ( c5_2(a163,a164)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c1_2(X0,X1)
      | ~ c4_2(X0,X1)
      | ~ ssSkC1 ),
    inference(cnf_transformation,[status(thm)],[f217]) ).

fof(f219,plain,
    ! [U] :
      ( c1_1(U)
      | c2_1(U)
      | ~ c2_1(a163)
      | ~ ndr1_0
      | ~ ndr1_1(U)
      | ! [V] :
          ( ~ c1_2(U,V)
          | ~ c4_2(U,V)
          | ~ ssSkC1 ) ),
    inference(miniscoping,[status(thm)],[f87]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ c2_1(a163)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c1_2(X0,X1)
      | ~ c4_2(X0,X1)
      | ~ ssSkC1 ),
    inference(cnf_transformation,[status(thm)],[f219]) ).

fof(f221,plain,
    ! [U] :
      ( c3_1(U)
      | c1_1(U)
      | ! [V] :
          ( c2_2(U,V)
          | ~ c1_0
          | ~ c2_1(a159)
          | ~ ndr1_0
          | ~ ndr1_1(U)
          | ~ c5_2(U,V) ) ),
    inference(miniscoping,[status(thm)],[f88]) ).

fof(f222,plain,
    ! [X0,X1] :
      ( c3_1(X0)
      | c1_1(X0)
      | c2_2(X0,X1)
      | ~ c1_0
      | ~ c2_1(a159)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c5_2(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f221]) ).

fof(f223,plain,
    ! [U] :
      ( c3_1(U)
      | c1_1(U)
      | ! [V] :
          ( c2_2(U,V)
          | ~ c1_0
          | ~ c3_1(a159)
          | ~ ndr1_0
          | ~ ndr1_1(U)
          | ~ c5_2(U,V) ) ),
    inference(miniscoping,[status(thm)],[f89]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( c3_1(X0)
      | c1_1(X0)
      | c2_2(X0,X1)
      | ~ c1_0
      | ~ c3_1(a159)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c5_2(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f223]) ).

fof(f225,plain,
    ! [U] :
      ( c1_1(U)
      | c2_1(U)
      | ~ c1_2(a163,a164)
      | ~ ndr1_0
      | ~ ndr1_1(U)
      | ! [V] :
          ( ~ c1_2(U,V)
          | ~ c4_2(U,V)
          | ~ ssSkC1 ) ),
    inference(miniscoping,[status(thm)],[f90]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ c1_2(a163,a164)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c1_2(X0,X1)
      | ~ c4_2(X0,X1)
      | ~ ssSkC1 ),
    inference(cnf_transformation,[status(thm)],[f225]) ).

fof(f227,plain,
    ! [U] :
      ( c1_1(U)
      | c2_1(U)
      | ~ c3_2(a163,a164)
      | ~ ndr1_0
      | ~ ndr1_1(U)
      | ! [V] :
          ( ~ c1_2(U,V)
          | ~ c4_2(U,V)
          | ~ ssSkC1 ) ),
    inference(miniscoping,[status(thm)],[f91]) ).

fof(f228,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ c3_2(a163,a164)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c1_2(X0,X1)
      | ~ c4_2(X0,X1)
      | ~ ssSkC1 ),
    inference(cnf_transformation,[status(thm)],[f227]) ).

fof(f229,plain,
    ! [U] :
      ( c3_1(U)
      | c1_1(U)
      | ! [V] :
          ( c2_2(U,V)
          | ~ c1_0
          | ~ c3_2(a159,a160)
          | ~ ndr1_0
          | ~ ndr1_1(U)
          | ~ c5_2(U,V) ) ),
    inference(miniscoping,[status(thm)],[f92]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( c3_1(X0)
      | c1_1(X0)
      | c2_2(X0,X1)
      | ~ c1_0
      | ~ c3_2(a159,a160)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c5_2(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f229]) ).

fof(f231,plain,
    ! [U] :
      ( c3_1(U)
      | c1_1(U)
      | ! [V] :
          ( c2_2(U,V)
          | ~ c1_0
          | ~ c5_2(a159,a160)
          | ~ ndr1_0
          | ~ ndr1_1(U)
          | ~ c5_2(U,V) ) ),
    inference(miniscoping,[status(thm)],[f93]) ).

fof(f232,plain,
    ! [X0,X1] :
      ( c3_1(X0)
      | c1_1(X0)
      | c2_2(X0,X1)
      | ~ c1_0
      | ~ c5_2(a159,a160)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c5_2(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f231]) ).

fof(f233,plain,
    ( ! [W] : ndr1_1(W)
    | ! [U,V] :
        ( c4_2(U,V)
        | c5_2(U,V)
        | c2_2(U,V)
        | ~ c5_0
        | ~ ndr1_0
        | ~ c5_1(U)
        | ~ c2_1(U)
        | ~ ndr1_1(U) ) ),
    inference(miniscoping,[status(thm)],[f94]) ).

fof(f234,plain,
    ! [X0,X1,X2] :
      ( ndr1_1(X2)
      | c4_2(X0,X1)
      | c5_2(X0,X1)
      | c2_2(X0,X1)
      | ~ c5_0
      | ~ ndr1_0
      | ~ c5_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f233]) ).

fof(f235,plain,
    ! [U] :
      ( c1_1(U)
      | ~ c2_0
      | ~ ndr1_1(a167)
      | ! [V] :
          ( ~ c1_2(a167,V)
          | ~ c3_2(a167,V)
          | ~ ndr1_0
          | ~ c2_1(U)
          | ~ c5_1(U) ) ),
    inference(miniscoping,[status(thm)],[f95]) ).

fof(f236,plain,
    ! [X0,X1] :
      ( c1_1(X0)
      | ~ c2_0
      | ~ ndr1_1(a167)
      | ~ c1_2(a167,X1)
      | ~ c3_2(a167,X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c5_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f235]) ).

fof(f237,plain,
    ! [U,W] :
      ( c4_2(U,W)
      | c5_2(U,W)
      | c2_2(U,W)
      | ~ c5_0
      | ! [V] : ~ c5_2(V,a173)
      | ~ ndr1_0
      | ~ c5_1(U)
      | ~ c2_1(U)
      | ~ ndr1_1(U) ),
    inference(miniscoping,[status(thm)],[f96]) ).

fof(f238,plain,
    ! [X0,X1,X2] :
      ( c4_2(X0,X2)
      | c5_2(X0,X2)
      | c2_2(X0,X2)
      | ~ c5_0
      | ~ c5_2(X1,a173)
      | ~ ndr1_0
      | ~ c5_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f237]) ).

fof(f239,plain,
    ! [U,W] :
      ( c4_2(U,W)
      | c5_2(U,W)
      | c2_2(U,W)
      | ~ c5_0
      | ! [V] : ~ c3_2(V,a173)
      | ~ ndr1_0
      | ~ c5_1(U)
      | ~ c2_1(U)
      | ~ ndr1_1(U) ),
    inference(miniscoping,[status(thm)],[f97]) ).

fof(f240,plain,
    ! [X0,X1,X2] :
      ( c4_2(X0,X2)
      | c5_2(X0,X2)
      | c2_2(X0,X2)
      | ~ c5_0
      | ~ c3_2(X1,a173)
      | ~ ndr1_0
      | ~ c5_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f239]) ).

fof(f241,plain,
    ! [V] :
      ( c4_2(a167,V)
      | ! [U] :
          ( c1_1(U)
          | ~ c2_0
          | ~ ndr1_1(a167)
          | ~ c1_2(a167,V)
          | ~ c2_2(a167,V)
          | ~ ndr1_0
          | ~ c2_1(U)
          | ~ c5_1(U) ) ),
    inference(miniscoping,[status(thm)],[f98]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( c4_2(a167,X1)
      | c1_1(X0)
      | ~ c2_0
      | ~ ndr1_1(a167)
      | ~ c1_2(a167,X1)
      | ~ c2_2(a167,X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c5_1(X0) ),
    inference(cnf_transformation,[status(thm)],[f241]) ).

fof(f243,plain,
    ( c3_0
    | ! [W] :
        ( c1_1(W)
        | c5_2(W,a182)
        | ! [X] :
            ( c1_2(W,X)
            | c2_2(W,X)
            | ~ ndr1_1(W)
            | ~ c3_2(W,X)
            | ~ ndr1_0
            | ! [U] :
                ( ~ c4_1(U)
                | ~ c1_1(U)
                | ~ ndr1_1(U)
                | ! [V] :
                    ( ~ c1_2(U,V)
                    | ~ c3_2(U,V)
                    | ~ c4_2(U,V) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f99]) ).

fof(f244,plain,
    ! [X0,X1,X2,X3] :
      ( c3_0
      | c1_1(X2)
      | c5_2(X2,a182)
      | c1_2(X2,X3)
      | c2_2(X2,X3)
      | ~ ndr1_1(X2)
      | ~ c3_2(X2,X3)
      | ~ ndr1_0
      | ~ c4_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_1(X0)
      | ~ c1_2(X0,X1)
      | ~ c3_2(X0,X1)
      | ~ c4_2(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f243]) ).

fof(f245,plain,
    ( c3_0
    | ! [W] :
        ( c1_1(W)
        | ! [X] :
            ( c1_2(W,X)
            | c2_2(W,X)
            | ~ c3_2(W,a182)
            | ~ ndr1_1(W)
            | ~ c3_2(W,X)
            | ~ ndr1_0
            | ! [U] :
                ( ~ c4_1(U)
                | ~ c1_1(U)
                | ~ ndr1_1(U)
                | ! [V] :
                    ( ~ c1_2(U,V)
                    | ~ c3_2(U,V)
                    | ~ c4_2(U,V) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f100]) ).

fof(f246,plain,
    ! [X0,X1,X2,X3] :
      ( c3_0
      | c1_1(X2)
      | c1_2(X2,X3)
      | c2_2(X2,X3)
      | ~ c3_2(X2,a182)
      | ~ ndr1_1(X2)
      | ~ c3_2(X2,X3)
      | ~ ndr1_0
      | ~ c4_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_1(X0)
      | ~ c1_2(X0,X1)
      | ~ c3_2(X0,X1)
      | ~ c4_2(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f245]) ).

fof(f247,plain,
    ( c3_0
    | ! [W] :
        ( c1_1(W)
        | ! [X] :
            ( c1_2(W,X)
            | c2_2(W,X)
            | ~ c2_2(W,a182)
            | ~ ndr1_1(W)
            | ~ c3_2(W,X)
            | ~ ndr1_0
            | ! [U] :
                ( ~ c4_1(U)
                | ~ c1_1(U)
                | ~ ndr1_1(U)
                | ! [V] :
                    ( ~ c1_2(U,V)
                    | ~ c3_2(U,V)
                    | ~ c4_2(U,V) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f101]) ).

fof(f248,plain,
    ! [X0,X1,X2,X3] :
      ( c3_0
      | c1_1(X2)
      | c1_2(X2,X3)
      | c2_2(X2,X3)
      | ~ c2_2(X2,a182)
      | ~ ndr1_1(X2)
      | ~ c3_2(X2,X3)
      | ~ ndr1_0
      | ~ c4_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_1(X0)
      | ~ c1_2(X0,X1)
      | ~ c3_2(X0,X1)
      | ~ c4_2(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f247]) ).

fof(f249,definition,
    ( sQ0_spl
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f250,plain,
    ( ~ sQ0_spl
    | ndr1_0 ),
    inference(component_clause,[status(thm)],[f249]) ).

fof(f252,definition,
    ( sQ1_spl
  <=> ssSkC3 ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f253,plain,
    ( ~ sQ1_spl
    | ssSkC3 ),
    inference(component_clause,[status(thm)],[f252]) ).

fof(f254,plain,
    ( sQ1_spl
    | ~ ssSkC3 ),
    inference(component_clause,[status(thm)],[f252]) ).

fof(f255,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f102,f249,f252]) ).

fof(f256,definition,
    ( sQ2_spl
  <=> ssSkC2 ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f257,plain,
    ( ~ sQ2_spl
    | ssSkC2 ),
    inference(component_clause,[status(thm)],[f256]) ).

fof(f258,plain,
    ( sQ2_spl
    | ~ ssSkC2 ),
    inference(component_clause,[status(thm)],[f256]) ).

fof(f259,plain,
    ( sQ2_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f103,f249,f256]) ).

fof(f260,definition,
    ( sQ3_spl
  <=> ssSkC1 ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f261,plain,
    ( ~ sQ3_spl
    | ssSkC1 ),
    inference(component_clause,[status(thm)],[f260]) ).

fof(f263,plain,
    ( sQ3_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f104,f249,f260]) ).

fof(f264,definition,
    ( sQ4_spl
  <=> c1_0 ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f265,plain,
    ( ~ sQ4_spl
    | c1_0 ),
    inference(component_clause,[status(thm)],[f264]) ).

fof(f266,plain,
    ( sQ4_spl
    | ~ c1_0 ),
    inference(component_clause,[status(thm)],[f264]) ).

fof(f267,definition,
    ( sQ5_spl
  <=> c5_0 ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f269,plain,
    ( sQ5_spl
    | ~ c5_0 ),
    inference(component_clause,[status(thm)],[f267]) ).

fof(f270,plain,
    ( sQ5_spl
    | sQ4_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f105,f249,f264,f267]) ).

fof(f271,definition,
    ( sQ6_spl
  <=> c4_0 ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f272,plain,
    ( ~ sQ6_spl
    | c4_0 ),
    inference(component_clause,[status(thm)],[f271]) ).

fof(f273,plain,
    ( sQ6_spl
    | ~ c4_0 ),
    inference(component_clause,[status(thm)],[f271]) ).

fof(f274,definition,
    ( sQ7_spl
  <=> c2_0 ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f275,plain,
    ( ~ sQ7_spl
    | c2_0 ),
    inference(component_clause,[status(thm)],[f274]) ).

fof(f276,plain,
    ( sQ7_spl
    | ~ c2_0 ),
    inference(component_clause,[status(thm)],[f274]) ).

fof(f277,plain,
    ( sQ7_spl
    | sQ6_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f106,f249,f271,f274]) ).

fof(f278,definition,
    ( sQ8_spl
  <=> c3_0 ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f279,plain,
    ( ~ sQ8_spl
    | c3_0 ),
    inference(component_clause,[status(thm)],[f278]) ).

fof(f280,plain,
    ( sQ8_spl
    | ~ c3_0 ),
    inference(component_clause,[status(thm)],[f278]) ).

fof(f281,plain,
    ( sQ0_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f107,f278,f249]) ).

fof(f282,plain,
    ( sQ0_spl
    | ~ sQ1_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f108,f256,f252,f249]) ).

fof(f283,plain,
    ( sQ0_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f109,f267,f249]) ).

fof(f284,definition,
    ( sQ9_spl
  <=> ssSkC0 ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f285,plain,
    ( ~ sQ9_spl
    | ssSkC0 ),
    inference(component_clause,[status(thm)],[f284]) ).

fof(f286,plain,
    ( sQ9_spl
    | ~ ssSkC0 ),
    inference(component_clause,[status(thm)],[f284]) ).

fof(f287,plain,
    ( sQ4_spl
    | sQ0_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f110,f284,f249,f264]) ).

fof(f288,definition,
    ( sQ10_spl
  <=> c3_1(a169) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f289,plain,
    ( ~ sQ10_spl
    | c3_1(a169) ),
    inference(component_clause,[status(thm)],[f288]) ).

fof(f290,plain,
    ( sQ10_spl
    | ~ c3_1(a169) ),
    inference(component_clause,[status(thm)],[f288]) ).

fof(f291,plain,
    ( sQ2_spl
    | sQ10_spl ),
    inference(split_clause,[status(thm)],[f113,f288,f256]) ).

fof(f292,definition,
    ( sQ11_spl
  <=> ndr1_1(a161) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f293,plain,
    ( ~ sQ11_spl
    | ndr1_1(a161) ),
    inference(component_clause,[status(thm)],[f292]) ).

fof(f295,plain,
    ( sQ3_spl
    | sQ11_spl ),
    inference(split_clause,[status(thm)],[f114,f292,f260]) ).

fof(f296,definition,
    ( sQ12_spl
  <=> c4_1(a161) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f297,plain,
    ( ~ sQ12_spl
    | c4_1(a161) ),
    inference(component_clause,[status(thm)],[f296]) ).

fof(f299,plain,
    ( sQ3_spl
    | sQ12_spl ),
    inference(split_clause,[status(thm)],[f115,f296,f260]) ).

fof(f300,definition,
    ( sQ13_spl
  <=> ndr1_1(a183) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f301,plain,
    ( ~ sQ13_spl
    | ndr1_1(a183) ),
    inference(component_clause,[status(thm)],[f300]) ).

fof(f302,plain,
    ( sQ13_spl
    | ~ ndr1_1(a183) ),
    inference(component_clause,[status(thm)],[f300]) ).

fof(f303,plain,
    ( sQ5_spl
    | sQ4_spl
    | sQ13_spl ),
    inference(split_clause,[status(thm)],[f116,f300,f264,f267]) ).

fof(f304,definition,
    ( sQ14_spl
  <=> c2_1(a183) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f305,plain,
    ( ~ sQ14_spl
    | c2_1(a183) ),
    inference(component_clause,[status(thm)],[f304]) ).

fof(f307,plain,
    ( sQ5_spl
    | sQ4_spl
    | sQ14_spl ),
    inference(split_clause,[status(thm)],[f117,f304,f264,f267]) ).

fof(f308,definition,
    ( sQ15_spl
  <=> c1_1(a181) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f309,plain,
    ( ~ sQ15_spl
    | c1_1(a181) ),
    inference(component_clause,[status(thm)],[f308]) ).

fof(f311,plain,
    ( sQ7_spl
    | sQ6_spl
    | sQ15_spl ),
    inference(split_clause,[status(thm)],[f118,f308,f271,f274]) ).

fof(f312,definition,
    ( sQ16_spl
  <=> c2_1(a180) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f313,plain,
    ( ~ sQ16_spl
    | c2_1(a180) ),
    inference(component_clause,[status(thm)],[f312]) ).

fof(f315,plain,
    ( sQ16_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f119,f278,f312]) ).

fof(f316,definition,
    ( sQ17_spl
  <=> c3_1(a180) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f317,plain,
    ( ~ sQ17_spl
    | c3_1(a180) ),
    inference(component_clause,[status(thm)],[f316]) ).

fof(f318,plain,
    ( sQ17_spl
    | ~ c3_1(a180) ),
    inference(component_clause,[status(thm)],[f316]) ).

fof(f319,plain,
    ( sQ17_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f120,f278,f316]) ).

fof(f320,definition,
    ( sQ18_spl
  <=> ssSkC4 ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f322,plain,
    ( sQ18_spl
    | ~ ssSkC4 ),
    inference(component_clause,[status(thm)],[f320]) ).

fof(f323,plain,
    ( sQ0_spl
    | ~ sQ6_spl
    | ~ sQ18_spl ),
    inference(split_clause,[status(thm)],[f121,f320,f271,f249]) ).

fof(f324,definition,
    ( sQ19_spl
  <=> ndr1_1(a171) ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f327,plain,
    ( sQ19_spl
    | ~ sQ1_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f122,f256,f252,f324]) ).

fof(f328,definition,
    ( sQ20_spl
  <=> ndr1_1(a165) ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f329,plain,
    ( ~ sQ20_spl
    | ndr1_1(a165) ),
    inference(component_clause,[status(thm)],[f328]) ).

fof(f331,plain,
    ( sQ20_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f123,f267,f328]) ).

fof(f332,definition,
    ( sQ21_spl
  <=> c1_1(a165) ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f333,plain,
    ( ~ sQ21_spl
    | c1_1(a165) ),
    inference(component_clause,[status(thm)],[f332]) ).

fof(f335,plain,
    ( sQ21_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f124,f267,f332]) ).

fof(f336,definition,
    ( sQ22_spl
  <=> c3_1(a158) ),
    introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).

fof(f337,plain,
    ( ~ sQ22_spl
    | c3_1(a158) ),
    inference(component_clause,[status(thm)],[f336]) ).

fof(f338,plain,
    ( sQ22_spl
    | ~ c3_1(a158) ),
    inference(component_clause,[status(thm)],[f336]) ).

fof(f339,plain,
    ( sQ4_spl
    | sQ22_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f125,f284,f336,f264]) ).

fof(f340,definition,
    ( sQ23_spl
  <=> c5_1(a158) ),
    introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).

fof(f341,plain,
    ( ~ sQ23_spl
    | c5_1(a158) ),
    inference(component_clause,[status(thm)],[f340]) ).

fof(f342,plain,
    ( sQ23_spl
    | ~ c5_1(a158) ),
    inference(component_clause,[status(thm)],[f340]) ).

fof(f343,plain,
    ( sQ4_spl
    | sQ23_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f126,f284,f340,f264]) ).

fof(f344,plain,
    ( sQ7_spl
    | sQ8_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f127,f271,f278,f274]) ).

fof(f345,definition,
    ( sQ24_spl
  <=> c1_1(a170) ),
    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).

fof(f347,plain,
    ( sQ24_spl
    | ~ c1_1(a170) ),
    inference(component_clause,[status(thm)],[f345]) ).

fof(f348,plain,
    ( sQ1_spl
    | ~ sQ24_spl ),
    inference(split_clause,[status(thm)],[f129,f345,f252]) ).

fof(f349,definition,
    ( sQ25_spl
  <=> c3_1(a170) ),
    introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).

fof(f351,plain,
    ( sQ25_spl
    | ~ c3_1(a170) ),
    inference(component_clause,[status(thm)],[f349]) ).

fof(f352,plain,
    ( sQ1_spl
    | ~ sQ25_spl ),
    inference(split_clause,[status(thm)],[f130,f349,f252]) ).

fof(f353,definition,
    ( sQ26_spl
  <=> c3_2(a161,a162) ),
    introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).

fof(f354,plain,
    ( ~ sQ26_spl
    | c3_2(a161,a162) ),
    inference(component_clause,[status(thm)],[f353]) ).

fof(f356,plain,
    ( sQ3_spl
    | sQ26_spl ),
    inference(split_clause,[status(thm)],[f131,f353,f260]) ).

fof(f357,definition,
    ( sQ27_spl
  <=> c5_2(a161,a162) ),
    introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).

fof(f358,plain,
    ( ~ sQ27_spl
    | c5_2(a161,a162) ),
    inference(component_clause,[status(thm)],[f357]) ).

fof(f360,plain,
    ( sQ3_spl
    | sQ27_spl ),
    inference(split_clause,[status(thm)],[f132,f357,f260]) ).

fof(f361,definition,
    ( sQ28_spl
  <=> c1_2(a161,a162) ),
    introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).

fof(f362,plain,
    ( ~ sQ28_spl
    | c1_2(a161,a162) ),
    inference(component_clause,[status(thm)],[f361]) ).

fof(f364,plain,
    ( sQ3_spl
    | sQ28_spl ),
    inference(split_clause,[status(thm)],[f133,f361,f260]) ).

fof(f365,definition,
    ( sQ29_spl
  <=> c3_1(a161) ),
    introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).

fof(f367,plain,
    ( sQ29_spl
    | ~ c3_1(a161) ),
    inference(component_clause,[status(thm)],[f365]) ).

fof(f368,plain,
    ( sQ3_spl
    | ~ sQ29_spl ),
    inference(split_clause,[status(thm)],[f134,f365,f260]) ).

fof(f369,definition,
    ( sQ30_spl
  <=> c1_2(a183,a184) ),
    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).

fof(f370,plain,
    ( ~ sQ30_spl
    | c1_2(a183,a184) ),
    inference(component_clause,[status(thm)],[f369]) ).

fof(f372,plain,
    ( sQ5_spl
    | sQ4_spl
    | sQ30_spl ),
    inference(split_clause,[status(thm)],[f135,f369,f264,f267]) ).

fof(f373,definition,
    ( sQ31_spl
  <=> c4_1(a181) ),
    introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).

fof(f375,plain,
    ( sQ31_spl
    | ~ c4_1(a181) ),
    inference(component_clause,[status(thm)],[f373]) ).

fof(f376,plain,
    ( sQ7_spl
    | sQ6_spl
    | ~ sQ31_spl ),
    inference(split_clause,[status(thm)],[f136,f373,f271,f274]) ).

fof(f377,definition,
    ( sQ32_spl
  <=> c1_1(a175) ),
    introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).

fof(f378,plain,
    ( ~ sQ32_spl
    | c1_1(a175) ),
    inference(component_clause,[status(thm)],[f377]) ).

fof(f380,plain,
    ( sQ32_spl
    | ~ sQ6_spl
    | ~ sQ18_spl ),
    inference(split_clause,[status(thm)],[f137,f320,f271,f377]) ).

fof(f381,definition,
    ( sQ33_spl
  <=> c2_1(a175) ),
    introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).

fof(f382,plain,
    ( ~ sQ33_spl
    | c2_1(a175) ),
    inference(component_clause,[status(thm)],[f381]) ).

fof(f384,plain,
    ( sQ33_spl
    | ~ sQ6_spl
    | ~ sQ18_spl ),
    inference(split_clause,[status(thm)],[f138,f320,f271,f381]) ).

fof(f385,definition,
    ( sQ34_spl
  <=> c3_2(a171,a172) ),
    introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).

fof(f386,plain,
    ( ~ sQ34_spl
    | c3_2(a171,a172) ),
    inference(component_clause,[status(thm)],[f385]) ).

fof(f388,plain,
    ( sQ34_spl
    | ~ sQ1_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f139,f256,f252,f385]) ).

fof(f389,definition,
    ( sQ35_spl
  <=> c4_1(a171) ),
    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).

fof(f391,plain,
    ( sQ35_spl
    | ~ c4_1(a171) ),
    inference(component_clause,[status(thm)],[f389]) ).

fof(f392,plain,
    ( ~ sQ35_spl
    | ~ sQ1_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f140,f256,f252,f389]) ).

fof(f393,definition,
    ( sQ36_spl
  <=> c1_2(a165,a166) ),
    introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).

fof(f394,plain,
    ( ~ sQ36_spl
    | c1_2(a165,a166) ),
    inference(component_clause,[status(thm)],[f393]) ).

fof(f396,plain,
    ( sQ36_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f141,f267,f393]) ).

fof(f397,definition,
    ( sQ37_spl
  <=> c3_2(a165,a166) ),
    introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).

fof(f398,plain,
    ( ~ sQ37_spl
    | c3_2(a165,a166) ),
    inference(component_clause,[status(thm)],[f397]) ).

fof(f400,plain,
    ( sQ37_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f142,f267,f397]) ).

fof(f401,definition,
    ( sQ38_spl
  <=> c5_2(a183,a184) ),
    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).

fof(f403,plain,
    ( sQ38_spl
    | ~ c5_2(a183,a184) ),
    inference(component_clause,[status(thm)],[f401]) ).

fof(f404,plain,
    ( sQ5_spl
    | sQ4_spl
    | ~ sQ38_spl ),
    inference(split_clause,[status(thm)],[f146,f401,f264,f267]) ).

fof(f405,definition,
    ( sQ39_spl
  <=> ndr1_1(a178) ),
    introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).

fof(f406,plain,
    ( ~ sQ39_spl
    | ndr1_1(a178) ),
    inference(component_clause,[status(thm)],[f405]) ).

fof(f407,plain,
    ( sQ39_spl
    | ~ ndr1_1(a178) ),
    inference(component_clause,[status(thm)],[f405]) ).

fof(f408,plain,
    ( sQ39_spl
    | ~ sQ8_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f147,f274,f278,f405]) ).

fof(f409,definition,
    ( sQ40_spl
  <=> c4_1(a178) ),
    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).

fof(f410,plain,
    ( ~ sQ40_spl
    | c4_1(a178) ),
    inference(component_clause,[status(thm)],[f409]) ).

fof(f411,plain,
    ( sQ40_spl
    | ~ c4_1(a178) ),
    inference(component_clause,[status(thm)],[f409]) ).

fof(f412,plain,
    ( sQ40_spl
    | ~ sQ8_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f148,f274,f278,f409]) ).

fof(f413,definition,
    ( sQ41_spl
  <=> c1_2(a171,a172) ),
    introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).

fof(f415,plain,
    ( sQ41_spl
    | ~ c1_2(a171,a172) ),
    inference(component_clause,[status(thm)],[f413]) ).

fof(f416,plain,
    ( ~ sQ41_spl
    | ~ sQ1_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f149,f256,f252,f413]) ).

fof(f417,definition,
    ( sQ42_spl
  <=> c5_2(a165,a166) ),
    introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).

fof(f419,plain,
    ( sQ42_spl
    | ~ c5_2(a165,a166) ),
    inference(component_clause,[status(thm)],[f417]) ).

fof(f420,plain,
    ( ~ sQ5_spl
    | ~ sQ42_spl ),
    inference(split_clause,[status(thm)],[f150,f417,f267]) ).

fof(f421,definition,
    ( sQ43_spl
  <=> c5_2(a178,a179) ),
    introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).

fof(f422,plain,
    ( ~ sQ43_spl
    | c5_2(a178,a179) ),
    inference(component_clause,[status(thm)],[f421]) ).

fof(f424,plain,
    ( sQ43_spl
    | ~ sQ8_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f151,f274,f278,f421]) ).

fof(f425,definition,
    ( sQ44_spl
  <=> c4_2(a178,a179) ),
    introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).

fof(f427,plain,
    ( sQ44_spl
    | ~ c4_2(a178,a179) ),
    inference(component_clause,[status(thm)],[f425]) ).

fof(f428,plain,
    ( ~ sQ8_spl
    | ~ sQ7_spl
    | ~ sQ44_spl ),
    inference(split_clause,[status(thm)],[f152,f425,f274,f278]) ).

fof(f429,definition,
    ! [X0] :
      ( sQ45_spl
    <=> ( ndr1_1(X0)
        | ~ c3_1(X0)
        | ~ ssSkP1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).

fof(f430,plain,
    ! [X0] :
      ( ~ sQ45_spl
      | ndr1_1(X0)
      | ~ c3_1(X0)
      | ~ ssSkP1(X0) ),
    inference(component_clause,[status(thm)],[f429]) ).

fof(f432,plain,
    ( sQ8_spl
    | ~ sQ0_spl
    | sQ45_spl ),
    inference(split_clause,[status(thm)],[f154,f429,f249,f278]) ).

fof(f433,definition,
    ! [X0] :
      ( sQ46_spl
    <=> ( ndr1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).

fof(f434,plain,
    ! [X0] :
      ( ~ sQ46_spl
      | ndr1_1(X0)
      | ~ c2_1(X0) ),
    inference(component_clause,[status(thm)],[f433]) ).

fof(f436,plain,
    ( sQ5_spl
    | ~ sQ4_spl
    | ~ sQ0_spl
    | sQ46_spl ),
    inference(split_clause,[status(thm)],[f156,f433,f249,f264,f267]) ).

fof(f437,definition,
    ! [X0] :
      ( sQ47_spl
    <=> ( c1_1(X0)
        | ndr1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).

fof(f438,plain,
    ! [X0] :
      ( ~ sQ47_spl
      | c1_1(X0)
      | ndr1_1(X0)
      | ~ c3_1(X0) ),
    inference(component_clause,[status(thm)],[f437]) ).

fof(f440,plain,
    ( sQ18_spl
    | ~ sQ0_spl
    | sQ47_spl ),
    inference(split_clause,[status(thm)],[f158,f437,f249,f320]) ).

fof(f441,definition,
    ! [X0] :
      ( sQ48_spl
    <=> ( c4_2(X0,a186)
        | ~ c3_1(X0)
        | ~ ssSkP1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).

fof(f442,plain,
    ! [X0] :
      ( ~ sQ48_spl
      | c4_2(X0,a186)
      | ~ c3_1(X0)
      | ~ ssSkP1(X0) ),
    inference(component_clause,[status(thm)],[f441]) ).

fof(f444,plain,
    ( sQ8_spl
    | ~ sQ0_spl
    | sQ48_spl ),
    inference(split_clause,[status(thm)],[f160,f441,f249,f278]) ).

fof(f445,definition,
    ! [X0] :
      ( sQ49_spl
    <=> ( c1_2(X0,a187)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).

fof(f446,plain,
    ! [X0] :
      ( ~ sQ49_spl
      | c1_2(X0,a187)
      | ~ c2_1(X0) ),
    inference(component_clause,[status(thm)],[f445]) ).

fof(f448,plain,
    ( sQ5_spl
    | ~ sQ4_spl
    | ~ sQ0_spl
    | sQ49_spl ),
    inference(split_clause,[status(thm)],[f162,f445,f249,f264,f267]) ).

fof(f449,definition,
    ! [X0] :
      ( sQ50_spl
    <=> ( c2_2(X0,a187)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).

fof(f450,plain,
    ! [X0] :
      ( ~ sQ50_spl
      | c2_2(X0,a187)
      | ~ c2_1(X0) ),
    inference(component_clause,[status(thm)],[f449]) ).

fof(f452,plain,
    ( sQ5_spl
    | ~ sQ4_spl
    | ~ sQ0_spl
    | sQ50_spl ),
    inference(split_clause,[status(thm)],[f164,f449,f249,f264,f267]) ).

fof(f453,definition,
    ! [X0] :
      ( sQ51_spl
    <=> ( c2_2(a183,X0)
        | c3_2(a183,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).

fof(f454,plain,
    ! [X0] :
      ( ~ sQ51_spl
      | c2_2(a183,X0)
      | c3_2(a183,X0) ),
    inference(component_clause,[status(thm)],[f453]) ).

fof(f456,plain,
    ( sQ5_spl
    | sQ4_spl
    | sQ51_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f166,f300,f453,f264,f267]) ).

fof(f457,definition,
    ! [X0] :
      ( sQ52_spl
    <=> ( ~ c3_1(X0)
        | ~ c1_2(X0,a186)
        | ~ ssSkP1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).

fof(f458,plain,
    ! [X0] :
      ( ~ sQ52_spl
      | ~ c3_1(X0)
      | ~ c1_2(X0,a186)
      | ~ ssSkP1(X0) ),
    inference(component_clause,[status(thm)],[f457]) ).

fof(f460,plain,
    ( sQ8_spl
    | ~ sQ0_spl
    | sQ52_spl ),
    inference(split_clause,[status(thm)],[f168,f457,f249,f278]) ).

fof(f461,definition,
    ! [X0] :
      ( sQ53_spl
    <=> ( ~ c2_1(X0)
        | ~ c5_2(X0,a187) ) ),
    introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).

fof(f462,plain,
    ! [X0] :
      ( ~ sQ53_spl
      | ~ c2_1(X0)
      | ~ c5_2(X0,a187) ),
    inference(component_clause,[status(thm)],[f461]) ).

fof(f464,plain,
    ( sQ5_spl
    | ~ sQ4_spl
    | ~ sQ0_spl
    | sQ53_spl ),
    inference(split_clause,[status(thm)],[f170,f461,f249,f264,f267]) ).

fof(f465,definition,
    ! [X0] :
      ( sQ54_spl
    <=> ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c2_2(X0,a174) ) ),
    introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).

fof(f466,plain,
    ! [X0] :
      ( ~ sQ54_spl
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_2(X0,a174) ),
    inference(component_clause,[status(thm)],[f465]) ).

fof(f468,plain,
    ( sQ18_spl
    | ~ sQ0_spl
    | sQ54_spl ),
    inference(split_clause,[status(thm)],[f172,f465,f249,f320]) ).

fof(f469,definition,
    ! [X0] :
      ( sQ55_spl
    <=> ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c5_2(X0,a174) ) ),
    introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).

fof(f470,plain,
    ! [X0] :
      ( ~ sQ55_spl
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c5_2(X0,a174) ),
    inference(component_clause,[status(thm)],[f469]) ).

fof(f472,plain,
    ( sQ18_spl
    | ~ sQ0_spl
    | sQ55_spl ),
    inference(split_clause,[status(thm)],[f174,f469,f249,f320]) ).

fof(f473,definition,
    ! [X0] :
      ( sQ56_spl
    <=> ( c1_1(X0)
        | ~ c3_1(X0)
        | ~ c1_2(X0,a174) ) ),
    introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).

fof(f474,plain,
    ! [X0] :
      ( ~ sQ56_spl
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c1_2(X0,a174) ),
    inference(component_clause,[status(thm)],[f473]) ).

fof(f476,plain,
    ( sQ18_spl
    | ~ sQ0_spl
    | sQ56_spl ),
    inference(split_clause,[status(thm)],[f176,f473,f249,f320]) ).

fof(f477,definition,
    ! [X0] :
      ( sQ57_spl
    <=> ( c3_2(a178,X0)
        | c4_2(a178,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).

fof(f478,plain,
    ! [X0] :
      ( ~ sQ57_spl
      | c3_2(a178,X0)
      | c4_2(a178,X0) ),
    inference(component_clause,[status(thm)],[f477]) ).

fof(f480,plain,
    ( sQ57_spl
    | ~ sQ8_spl
    | ~ sQ7_spl
    | ~ sQ39_spl ),
    inference(split_clause,[status(thm)],[f177,f405,f274,f278,f477]) ).

fof(f481,definition,
    ! [X0] :
      ( sQ58_spl
    <=> ( ~ c5_2(a171,X0)
        | ~ c4_2(a171,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).

fof(f482,plain,
    ! [X0] :
      ( ~ sQ58_spl
      | ~ c5_2(a171,X0)
      | ~ c4_2(a171,X0) ),
    inference(component_clause,[status(thm)],[f481]) ).

fof(f484,plain,
    ( ~ sQ19_spl
    | sQ58_spl
    | ~ sQ1_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f179,f256,f252,f481,f324]) ).

fof(f485,definition,
    ( sQ59_spl
  <=> ndr1_1(a169) ),
    introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).

fof(f486,plain,
    ( ~ sQ59_spl
    | ndr1_1(a169) ),
    inference(component_clause,[status(thm)],[f485]) ).

fof(f487,plain,
    ( sQ59_spl
    | ~ ndr1_1(a169) ),
    inference(component_clause,[status(thm)],[f485]) ).

fof(f488,definition,
    ! [X0] :
      ( sQ60_spl
    <=> ( c5_2(a169,X0)
        | c3_2(a169,X0)
        | c2_2(a169,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).

fof(f489,plain,
    ! [X0] :
      ( ~ sQ60_spl
      | c5_2(a169,X0)
      | c3_2(a169,X0)
      | c2_2(a169,X0) ),
    inference(component_clause,[status(thm)],[f488]) ).

fof(f491,plain,
    ( sQ2_spl
    | sQ60_spl
    | ~ sQ59_spl ),
    inference(split_clause,[status(thm)],[f181,f485,f488,f256]) ).

fof(f492,definition,
    ! [X0] :
      ( sQ61_spl
    <=> ( c1_1(X0)
        | ~ c2_1(X0)
        | ~ c5_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).

fof(f493,plain,
    ! [X0] :
      ( ~ sQ61_spl
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c5_1(X0) ),
    inference(component_clause,[status(thm)],[f492]) ).

fof(f495,definition,
    ( sQ62_spl
  <=> ndr1_1(a167) ),
    introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).

fof(f496,plain,
    ( ~ sQ62_spl
    | ndr1_1(a167) ),
    inference(component_clause,[status(thm)],[f495]) ).

fof(f497,plain,
    ( sQ62_spl
    | ~ ndr1_1(a167) ),
    inference(component_clause,[status(thm)],[f495]) ).

fof(f498,plain,
    ( sQ62_spl
    | ~ sQ7_spl
    | ~ sQ0_spl
    | sQ61_spl ),
    inference(split_clause,[status(thm)],[f183,f492,f249,f274,f495]) ).

fof(f499,definition,
    ( sQ63_spl
  <=> ndr1_1(a158) ),
    introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).

fof(f500,plain,
    ( ~ sQ63_spl
    | ndr1_1(a158) ),
    inference(component_clause,[status(thm)],[f499]) ).

fof(f501,plain,
    ( sQ63_spl
    | ~ ndr1_1(a158) ),
    inference(component_clause,[status(thm)],[f499]) ).

fof(f502,definition,
    ! [X0] :
      ( sQ64_spl
    <=> ( c4_2(a158,X0)
        | c5_2(a158,X0)
        | c1_2(a158,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).

fof(f503,plain,
    ! [X0] :
      ( ~ sQ64_spl
      | c4_2(a158,X0)
      | c5_2(a158,X0)
      | c1_2(a158,X0) ),
    inference(component_clause,[status(thm)],[f502]) ).

fof(f505,plain,
    ( sQ4_spl
    | sQ64_spl
    | ~ sQ63_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f185,f284,f499,f502,f264]) ).

fof(f506,definition,
    ! [X0] :
      ( sQ65_spl
    <=> ( c3_2(a181,X0)
        | c5_2(a181,X0)
        | ~ c1_2(a181,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).

fof(f507,plain,
    ! [X0] :
      ( ~ sQ65_spl
      | c3_2(a181,X0)
      | c5_2(a181,X0)
      | ~ c1_2(a181,X0) ),
    inference(component_clause,[status(thm)],[f506]) ).

fof(f509,definition,
    ( sQ66_spl
  <=> ndr1_1(a181) ),
    introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).

fof(f510,plain,
    ( ~ sQ66_spl
    | ndr1_1(a181) ),
    inference(component_clause,[status(thm)],[f509]) ).

fof(f511,plain,
    ( sQ66_spl
    | ~ ndr1_1(a181) ),
    inference(component_clause,[status(thm)],[f509]) ).

fof(f512,plain,
    ( sQ7_spl
    | sQ6_spl
    | ~ sQ66_spl
    | sQ65_spl ),
    inference(split_clause,[status(thm)],[f187,f506,f509,f271,f274]) ).

fof(f513,definition,
    ( sQ67_spl
  <=> c2_2(a167,a168) ),
    introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).

fof(f514,plain,
    ( ~ sQ67_spl
    | c2_2(a167,a168) ),
    inference(component_clause,[status(thm)],[f513]) ).

fof(f516,plain,
    ( sQ67_spl
    | ~ sQ7_spl
    | ~ sQ0_spl
    | sQ61_spl ),
    inference(split_clause,[status(thm)],[f189,f492,f249,f274,f513]) ).

fof(f517,definition,
    ( sQ68_spl
  <=> c3_2(a167,a168) ),
    introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).

fof(f518,plain,
    ( ~ sQ68_spl
    | c3_2(a167,a168) ),
    inference(component_clause,[status(thm)],[f517]) ).

fof(f520,plain,
    ( sQ68_spl
    | ~ sQ7_spl
    | ~ sQ0_spl
    | sQ61_spl ),
    inference(split_clause,[status(thm)],[f191,f492,f249,f274,f517]) ).

fof(f521,definition,
    ( sQ69_spl
  <=> c4_2(a167,a168) ),
    introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).

fof(f522,plain,
    ( ~ sQ69_spl
    | c4_2(a167,a168) ),
    inference(component_clause,[status(thm)],[f521]) ).

fof(f524,plain,
    ( sQ69_spl
    | ~ sQ7_spl
    | ~ sQ0_spl
    | sQ61_spl ),
    inference(split_clause,[status(thm)],[f193,f492,f249,f274,f521]) ).

fof(f525,definition,
    ! [X0] :
      ( sQ70_spl
    <=> ( c4_2(a165,X0)
        | c5_2(a165,X0)
        | ~ c3_2(a165,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).

fof(f526,plain,
    ! [X0] :
      ( ~ sQ70_spl
      | c4_2(a165,X0)
      | c5_2(a165,X0)
      | ~ c3_2(a165,X0) ),
    inference(component_clause,[status(thm)],[f525]) ).

fof(f528,plain,
    ( ~ sQ5_spl
    | ~ sQ20_spl
    | sQ70_spl ),
    inference(split_clause,[status(thm)],[f194,f525,f328,f267]) ).

fof(f529,definition,
    ! [X0] :
      ( sQ71_spl
    <=> ( ~ c3_1(X0)
        | ~ c5_1(X0)
        | ~ c4_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).

fof(f530,plain,
    ! [X0] :
      ( ~ sQ71_spl
      | ~ c3_1(X0)
      | ~ c5_1(X0)
      | ~ c4_1(X0) ),
    inference(component_clause,[status(thm)],[f529]) ).

fof(f532,plain,
    ( ~ sQ8_spl
    | ~ sQ7_spl
    | ~ sQ0_spl
    | sQ71_spl ),
    inference(split_clause,[status(thm)],[f196,f529,f249,f274,f278]) ).

fof(f533,definition,
    ! [X0] :
      ( sQ72_spl
    <=> ( c4_2(a180,X0)
        | ~ c1_2(a180,X0)
        | ~ c5_2(a180,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).

fof(f534,plain,
    ! [X0] :
      ( ~ sQ72_spl
      | c4_2(a180,X0)
      | ~ c1_2(a180,X0)
      | ~ c5_2(a180,X0) ),
    inference(component_clause,[status(thm)],[f533]) ).

fof(f536,definition,
    ( sQ73_spl
  <=> ndr1_1(a180) ),
    introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).

fof(f537,plain,
    ( ~ sQ73_spl
    | ndr1_1(a180) ),
    inference(component_clause,[status(thm)],[f536]) ).

fof(f538,plain,
    ( sQ73_spl
    | ~ ndr1_1(a180) ),
    inference(component_clause,[status(thm)],[f536]) ).

fof(f539,plain,
    ( ~ sQ8_spl
    | ~ sQ73_spl
    | sQ72_spl ),
    inference(split_clause,[status(thm)],[f197,f533,f536,f278]) ).

fof(f540,definition,
    ! [X0] :
      ( sQ74_spl
    <=> ( c4_2(a175,X0)
        | c2_2(a175,X0)
        | ~ c3_2(a175,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).

fof(f541,plain,
    ! [X0] :
      ( ~ sQ74_spl
      | c4_2(a175,X0)
      | c2_2(a175,X0)
      | ~ c3_2(a175,X0) ),
    inference(component_clause,[status(thm)],[f540]) ).

fof(f543,definition,
    ( sQ75_spl
  <=> ndr1_1(a175) ),
    introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).

fof(f544,plain,
    ( ~ sQ75_spl
    | ndr1_1(a175) ),
    inference(component_clause,[status(thm)],[f543]) ).

fof(f545,plain,
    ( sQ75_spl
    | ~ ndr1_1(a175) ),
    inference(component_clause,[status(thm)],[f543]) ).

fof(f546,plain,
    ( ~ sQ6_spl
    | ~ sQ75_spl
    | sQ74_spl
    | ~ sQ18_spl ),
    inference(split_clause,[status(thm)],[f198,f320,f540,f543,f271]) ).

fof(f547,definition,
    ! [X0] :
      ( sQ76_spl
    <=> ( ndr1_1(X0)
        | ~ c1_1(X0)
        | ~ ssSkP0(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).

fof(f548,plain,
    ! [X0] :
      ( ~ sQ76_spl
      | ndr1_1(X0)
      | ~ c1_1(X0)
      | ~ ssSkP0(X0) ),
    inference(component_clause,[status(thm)],[f547]) ).

fof(f550,definition,
    ! [X1] :
      ( sQ77_spl
    <=> ( c4_1(X1)
        | ~ c2_1(X1)
        | ~ c5_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).

fof(f551,plain,
    ! [X0] :
      ( ~ sQ77_spl
      | c4_1(X0)
      | ~ c2_1(X0)
      | ~ c5_1(X0) ),
    inference(component_clause,[status(thm)],[f550]) ).

fof(f553,plain,
    ( sQ8_spl
    | ~ sQ0_spl
    | sQ77_spl
    | sQ76_spl ),
    inference(split_clause,[status(thm)],[f200,f547,f550,f249,f278]) ).

fof(f554,definition,
    ! [X0,X1] :
      ( sQ78_spl
    <=> ( c2_2(X0,a157)
        | c5_2(X0,X1)
        | c1_2(X0,X1)
        | ~ c5_1(X0)
        | ~ ndr1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).

fof(f555,plain,
    ! [X0,X1] :
      ( ~ sQ78_spl
      | c2_2(X0,a157)
      | c5_2(X0,X1)
      | c1_2(X0,X1)
      | ~ c5_1(X0)
      | ~ ndr1_1(X0) ),
    inference(component_clause,[status(thm)],[f554]) ).

fof(f557,plain,
    ( sQ9_spl
    | ~ sQ0_spl
    | sQ78_spl ),
    inference(split_clause,[status(thm)],[f202,f554,f249,f284]) ).

fof(f558,definition,
    ! [X0] :
      ( sQ79_spl
    <=> ( c2_2(X0,a177)
        | ~ c1_1(X0)
        | ~ ssSkP0(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).

fof(f559,plain,
    ! [X0] :
      ( ~ sQ79_spl
      | c2_2(X0,a177)
      | ~ c1_1(X0)
      | ~ ssSkP0(X0) ),
    inference(component_clause,[status(thm)],[f558]) ).

fof(f561,plain,
    ( sQ8_spl
    | ~ sQ0_spl
    | sQ77_spl
    | sQ79_spl ),
    inference(split_clause,[status(thm)],[f204,f558,f550,f249,f278]) ).

fof(f562,definition,
    ! [X0] :
      ( sQ80_spl
    <=> ( c4_2(X0,a177)
        | ~ c1_1(X0)
        | ~ ssSkP0(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).

fof(f563,plain,
    ! [X0] :
      ( ~ sQ80_spl
      | c4_2(X0,a177)
      | ~ c1_1(X0)
      | ~ ssSkP0(X0) ),
    inference(component_clause,[status(thm)],[f562]) ).

fof(f565,plain,
    ( sQ8_spl
    | ~ sQ0_spl
    | sQ77_spl
    | sQ80_spl ),
    inference(split_clause,[status(thm)],[f206,f562,f550,f249,f278]) ).

fof(f566,definition,
    ! [X0] :
      ( sQ81_spl
    <=> ( c3_2(X0,a177)
        | ~ c1_1(X0)
        | ~ ssSkP0(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).

fof(f567,plain,
    ! [X0] :
      ( ~ sQ81_spl
      | c3_2(X0,a177)
      | ~ c1_1(X0)
      | ~ ssSkP0(X0) ),
    inference(component_clause,[status(thm)],[f566]) ).

fof(f569,plain,
    ( sQ8_spl
    | ~ sQ0_spl
    | sQ77_spl
    | sQ81_spl ),
    inference(split_clause,[status(thm)],[f208,f566,f550,f249,f278]) ).

fof(f570,definition,
    ! [X0,X1] :
      ( sQ82_spl
    <=> ( c5_2(X0,X1)
        | c1_2(X0,X1)
        | ~ c5_1(X0)
        | ~ c3_2(X0,a157)
        | ~ ndr1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).

fof(f571,plain,
    ! [X0,X1] :
      ( ~ sQ82_spl
      | c5_2(X0,X1)
      | c1_2(X0,X1)
      | ~ c5_1(X0)
      | ~ c3_2(X0,a157)
      | ~ ndr1_1(X0) ),
    inference(component_clause,[status(thm)],[f570]) ).

fof(f573,plain,
    ( sQ9_spl
    | ~ sQ0_spl
    | sQ82_spl ),
    inference(split_clause,[status(thm)],[f210,f570,f249,f284]) ).

fof(f574,definition,
    ! [X0,X1] :
      ( sQ83_spl
    <=> ( c1_1(X0)
        | c2_1(X0)
        | ~ ndr1_1(X0)
        | ~ c1_2(X0,X1)
        | ~ c4_2(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).

fof(f575,plain,
    ! [X0,X1] :
      ( ~ sQ83_spl
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_1(X0)
      | ~ c1_2(X0,X1)
      | ~ c4_2(X0,X1) ),
    inference(component_clause,[status(thm)],[f574]) ).

fof(f577,definition,
    ( sQ84_spl
  <=> ndr1_1(a163) ),
    introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).

fof(f578,plain,
    ( ~ sQ84_spl
    | ndr1_1(a163) ),
    inference(component_clause,[status(thm)],[f577]) ).

fof(f579,plain,
    ( sQ84_spl
    | ~ ndr1_1(a163) ),
    inference(component_clause,[status(thm)],[f577]) ).

fof(f580,plain,
    ( sQ84_spl
    | ~ sQ0_spl
    | sQ83_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f212,f260,f574,f249,f577]) ).

fof(f581,definition,
    ( sQ85_spl
  <=> c3_1(a163) ),
    introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).

fof(f582,plain,
    ( ~ sQ85_spl
    | c3_1(a163) ),
    inference(component_clause,[status(thm)],[f581]) ).

fof(f584,plain,
    ( sQ85_spl
    | ~ sQ0_spl
    | sQ83_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f214,f260,f574,f249,f581]) ).

fof(f585,definition,
    ! [X0,X1] :
      ( sQ86_spl
    <=> ( c3_1(X0)
        | c1_1(X0)
        | c2_2(X0,X1)
        | ~ ndr1_1(X0)
        | ~ c5_2(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).

fof(f586,plain,
    ! [X0,X1] :
      ( ~ sQ86_spl
      | c3_1(X0)
      | c1_1(X0)
      | c2_2(X0,X1)
      | ~ ndr1_1(X0)
      | ~ c5_2(X0,X1) ),
    inference(component_clause,[status(thm)],[f585]) ).

fof(f588,definition,
    ( sQ87_spl
  <=> ndr1_1(a159) ),
    introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).

fof(f589,plain,
    ( ~ sQ87_spl
    | ndr1_1(a159) ),
    inference(component_clause,[status(thm)],[f588]) ).

fof(f591,plain,
    ( sQ87_spl
    | ~ sQ4_spl
    | ~ sQ0_spl
    | sQ86_spl ),
    inference(split_clause,[status(thm)],[f216,f585,f249,f264,f588]) ).

fof(f592,definition,
    ( sQ88_spl
  <=> c5_2(a163,a164) ),
    introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).

fof(f593,plain,
    ( ~ sQ88_spl
    | c5_2(a163,a164) ),
    inference(component_clause,[status(thm)],[f592]) ).

fof(f595,plain,
    ( sQ88_spl
    | ~ sQ0_spl
    | sQ83_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f218,f260,f574,f249,f592]) ).

fof(f596,definition,
    ( sQ89_spl
  <=> c2_1(a163) ),
    introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).

fof(f598,plain,
    ( sQ89_spl
    | ~ c2_1(a163) ),
    inference(component_clause,[status(thm)],[f596]) ).

fof(f599,plain,
    ( ~ sQ89_spl
    | ~ sQ0_spl
    | sQ83_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f220,f260,f574,f249,f596]) ).

fof(f600,definition,
    ( sQ90_spl
  <=> c2_1(a159) ),
    introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).

fof(f602,plain,
    ( sQ90_spl
    | ~ c2_1(a159) ),
    inference(component_clause,[status(thm)],[f600]) ).

fof(f603,plain,
    ( ~ sQ4_spl
    | ~ sQ90_spl
    | ~ sQ0_spl
    | sQ86_spl ),
    inference(split_clause,[status(thm)],[f222,f585,f249,f600,f264]) ).

fof(f604,definition,
    ( sQ91_spl
  <=> c3_1(a159) ),
    introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).

fof(f606,plain,
    ( sQ91_spl
    | ~ c3_1(a159) ),
    inference(component_clause,[status(thm)],[f604]) ).

fof(f607,plain,
    ( ~ sQ4_spl
    | ~ sQ91_spl
    | ~ sQ0_spl
    | sQ86_spl ),
    inference(split_clause,[status(thm)],[f224,f585,f249,f604,f264]) ).

fof(f608,definition,
    ( sQ92_spl
  <=> c1_2(a163,a164) ),
    introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).

fof(f610,plain,
    ( sQ92_spl
    | ~ c1_2(a163,a164) ),
    inference(component_clause,[status(thm)],[f608]) ).

fof(f611,plain,
    ( ~ sQ92_spl
    | ~ sQ0_spl
    | sQ83_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f226,f260,f574,f249,f608]) ).

fof(f612,definition,
    ( sQ93_spl
  <=> c3_2(a163,a164) ),
    introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).

fof(f614,plain,
    ( sQ93_spl
    | ~ c3_2(a163,a164) ),
    inference(component_clause,[status(thm)],[f612]) ).

fof(f615,plain,
    ( ~ sQ93_spl
    | ~ sQ0_spl
    | sQ83_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f228,f260,f574,f249,f612]) ).

fof(f616,definition,
    ( sQ94_spl
  <=> c3_2(a159,a160) ),
    introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).

fof(f618,plain,
    ( sQ94_spl
    | ~ c3_2(a159,a160) ),
    inference(component_clause,[status(thm)],[f616]) ).

fof(f619,plain,
    ( ~ sQ4_spl
    | ~ sQ94_spl
    | ~ sQ0_spl
    | sQ86_spl ),
    inference(split_clause,[status(thm)],[f230,f585,f249,f616,f264]) ).

fof(f620,definition,
    ( sQ95_spl
  <=> c5_2(a159,a160) ),
    introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).

fof(f622,plain,
    ( sQ95_spl
    | ~ c5_2(a159,a160) ),
    inference(component_clause,[status(thm)],[f620]) ).

fof(f623,plain,
    ( ~ sQ4_spl
    | ~ sQ95_spl
    | ~ sQ0_spl
    | sQ86_spl ),
    inference(split_clause,[status(thm)],[f232,f585,f249,f620,f264]) ).

fof(f624,definition,
    ! [X0,X1] :
      ( sQ96_spl
    <=> ( c4_2(X0,X1)
        | c5_2(X0,X1)
        | c2_2(X0,X1)
        | ~ c5_1(X0)
        | ~ c2_1(X0)
        | ~ ndr1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).

fof(f625,plain,
    ! [X0,X1] :
      ( ~ sQ96_spl
      | c4_2(X0,X1)
      | c5_2(X0,X1)
      | c2_2(X0,X1)
      | ~ c5_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_1(X0) ),
    inference(component_clause,[status(thm)],[f624]) ).

fof(f627,definition,
    ! [X2] :
      ( sQ97_spl
    <=> ndr1_1(X2) ),
    introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).

fof(f628,plain,
    ! [X0] :
      ( ~ sQ97_spl
      | ndr1_1(X0) ),
    inference(component_clause,[status(thm)],[f627]) ).

fof(f630,plain,
    ( sQ97_spl
    | ~ sQ5_spl
    | ~ sQ0_spl
    | sQ96_spl ),
    inference(split_clause,[status(thm)],[f234,f624,f249,f267,f627]) ).

fof(f631,definition,
    ! [X1] :
      ( sQ98_spl
    <=> ( ~ c1_2(a167,X1)
        | ~ c3_2(a167,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).

fof(f632,plain,
    ! [X0] :
      ( ~ sQ98_spl
      | ~ c1_2(a167,X0)
      | ~ c3_2(a167,X0) ),
    inference(component_clause,[status(thm)],[f631]) ).

fof(f634,plain,
    ( ~ sQ7_spl
    | ~ sQ62_spl
    | sQ98_spl
    | ~ sQ0_spl
    | sQ61_spl ),
    inference(split_clause,[status(thm)],[f236,f492,f249,f631,f495,f274]) ).

fof(f635,definition,
    ! [X1] :
      ( sQ99_spl
    <=> ~ c5_2(X1,a173) ),
    introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).

fof(f636,plain,
    ! [X0] :
      ( ~ sQ99_spl
      | ~ c5_2(X0,a173) ),
    inference(component_clause,[status(thm)],[f635]) ).

fof(f638,plain,
    ( ~ sQ5_spl
    | sQ99_spl
    | ~ sQ0_spl
    | sQ96_spl ),
    inference(split_clause,[status(thm)],[f238,f624,f249,f635,f267]) ).

fof(f639,definition,
    ! [X1] :
      ( sQ100_spl
    <=> ~ c3_2(X1,a173) ),
    introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).

fof(f640,plain,
    ! [X0] :
      ( ~ sQ100_spl
      | ~ c3_2(X0,a173) ),
    inference(component_clause,[status(thm)],[f639]) ).

fof(f642,plain,
    ( ~ sQ5_spl
    | sQ100_spl
    | ~ sQ0_spl
    | sQ96_spl ),
    inference(split_clause,[status(thm)],[f240,f624,f249,f639,f267]) ).

fof(f643,definition,
    ! [X1] :
      ( sQ101_spl
    <=> ( c4_2(a167,X1)
        | ~ c1_2(a167,X1)
        | ~ c2_2(a167,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).

fof(f644,plain,
    ! [X0] :
      ( ~ sQ101_spl
      | c4_2(a167,X0)
      | ~ c1_2(a167,X0)
      | ~ c2_2(a167,X0) ),
    inference(component_clause,[status(thm)],[f643]) ).

fof(f646,plain,
    ( ~ sQ7_spl
    | ~ sQ62_spl
    | sQ101_spl
    | ~ sQ0_spl
    | sQ61_spl ),
    inference(split_clause,[status(thm)],[f242,f492,f249,f643,f495,f274]) ).

fof(f647,definition,
    ! [X0,X1] :
      ( sQ102_spl
    <=> ( ~ c4_1(X0)
        | ~ c1_1(X0)
        | ~ ndr1_1(X0)
        | ~ c1_2(X0,X1)
        | ~ c3_2(X0,X1)
        | ~ c4_2(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).

fof(f648,plain,
    ! [X0,X1] :
      ( ~ sQ102_spl
      | ~ c4_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_1(X0)
      | ~ c1_2(X0,X1)
      | ~ c3_2(X0,X1)
      | ~ c4_2(X0,X1) ),
    inference(component_clause,[status(thm)],[f647]) ).

fof(f650,definition,
    ! [X2,X3] :
      ( sQ103_spl
    <=> ( c1_1(X2)
        | c5_2(X2,a182)
        | c1_2(X2,X3)
        | c2_2(X2,X3)
        | ~ ndr1_1(X2)
        | ~ c3_2(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).

fof(f651,plain,
    ! [X0,X1] :
      ( ~ sQ103_spl
      | c1_1(X0)
      | c5_2(X0,a182)
      | c1_2(X0,X1)
      | c2_2(X0,X1)
      | ~ ndr1_1(X0)
      | ~ c3_2(X0,X1) ),
    inference(component_clause,[status(thm)],[f650]) ).

fof(f653,plain,
    ( sQ8_spl
    | sQ103_spl
    | ~ sQ0_spl
    | sQ102_spl ),
    inference(split_clause,[status(thm)],[f244,f647,f249,f650,f278]) ).

fof(f654,definition,
    ! [X2,X3] :
      ( sQ104_spl
    <=> ( c1_1(X2)
        | c1_2(X2,X3)
        | c2_2(X2,X3)
        | ~ c3_2(X2,a182)
        | ~ ndr1_1(X2)
        | ~ c3_2(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).

fof(f655,plain,
    ! [X0,X1] :
      ( ~ sQ104_spl
      | c1_1(X0)
      | c1_2(X0,X1)
      | c2_2(X0,X1)
      | ~ c3_2(X0,a182)
      | ~ ndr1_1(X0)
      | ~ c3_2(X0,X1) ),
    inference(component_clause,[status(thm)],[f654]) ).

fof(f657,plain,
    ( sQ8_spl
    | sQ104_spl
    | ~ sQ0_spl
    | sQ102_spl ),
    inference(split_clause,[status(thm)],[f246,f647,f249,f654,f278]) ).

fof(f658,definition,
    ! [X2,X3] :
      ( sQ105_spl
    <=> ( c1_1(X2)
        | c1_2(X2,X3)
        | c2_2(X2,X3)
        | ~ c2_2(X2,a182)
        | ~ ndr1_1(X2)
        | ~ c3_2(X2,X3) ) ),
    introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).

fof(f659,plain,
    ! [X0,X1] :
      ( ~ sQ105_spl
      | c1_1(X0)
      | c1_2(X0,X1)
      | c2_2(X0,X1)
      | ~ c2_2(X0,a182)
      | ~ ndr1_1(X0)
      | ~ c3_2(X0,X1) ),
    inference(component_clause,[status(thm)],[f658]) ).

fof(f661,plain,
    ( sQ8_spl
    | sQ105_spl
    | ~ sQ0_spl
    | sQ102_spl ),
    inference(split_clause,[status(thm)],[f248,f647,f249,f658,f278]) ).

fof(f662,plain,
    ( ~ sQ27_spl
    | ~ sQ86_spl
    | c3_1(a161)
    | c1_1(a161)
    | c2_2(a161,a162)
    | ~ ndr1_1(a161) ),
    inference(resolution,[status(thm)],[f586,f358]) ).

fof(f663,definition,
    ( sQ106_spl
  <=> c2_2(a161,a162) ),
    introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).

fof(f664,plain,
    ( ~ sQ106_spl
    | c2_2(a161,a162) ),
    inference(component_clause,[status(thm)],[f663]) ).

fof(f666,definition,
    ( sQ107_spl
  <=> c1_1(a161) ),
    introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).

fof(f667,plain,
    ( ~ sQ107_spl
    | c1_1(a161) ),
    inference(component_clause,[status(thm)],[f666]) ).

fof(f669,plain,
    ( ~ sQ27_spl
    | ~ sQ86_spl
    | sQ29_spl
    | sQ107_spl
    | sQ106_spl
    | ~ sQ11_spl ),
    inference(split_clause,[status(thm)],[f662,f292,f663,f666,f365,f585,f357]) ).

fof(f670,plain,
    ( ~ sQ37_spl
    | ~ sQ105_spl
    | c1_1(a165)
    | c1_2(a165,a166)
    | c2_2(a165,a166)
    | ~ c2_2(a165,a182)
    | ~ ndr1_1(a165) ),
    inference(resolution,[status(thm)],[f659,f398]) ).

fof(f671,definition,
    ( sQ108_spl
  <=> c2_2(a165,a182) ),
    introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).

fof(f673,plain,
    ( sQ108_spl
    | ~ c2_2(a165,a182) ),
    inference(component_clause,[status(thm)],[f671]) ).

fof(f674,definition,
    ( sQ109_spl
  <=> c2_2(a165,a166) ),
    introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).

fof(f675,plain,
    ( ~ sQ109_spl
    | c2_2(a165,a166) ),
    inference(component_clause,[status(thm)],[f674]) ).

fof(f677,plain,
    ( ~ sQ37_spl
    | ~ sQ105_spl
    | sQ21_spl
    | sQ36_spl
    | sQ109_spl
    | ~ sQ108_spl
    | ~ sQ20_spl ),
    inference(split_clause,[status(thm)],[f670,f328,f671,f674,f393,f332,f658,f397]) ).

fof(f678,plain,
    ( ~ sQ57_spl
    | ssSkP0(a178)
    | c3_2(a178,a176) ),
    inference(resolution,[status(thm)],[f478,f145]) ).

fof(f679,plain,
    ! [X0] :
      ( ~ sQ83_spl
      | ~ sQ57_spl
      | c1_1(a178)
      | c2_1(a178)
      | ~ ndr1_1(a178)
      | ~ c1_2(a178,X0)
      | c3_2(a178,X0) ),
    inference(resolution,[status(thm)],[f478,f575]) ).

fof(f680,plain,
    ! [X0] :
      ( ~ sQ102_spl
      | ~ sQ57_spl
      | ~ c4_1(a178)
      | ~ c1_1(a178)
      | ~ ndr1_1(a178)
      | ~ c1_2(a178,X0)
      | ~ c3_2(a178,X0)
      | c3_2(a178,X0) ),
    inference(resolution,[status(thm)],[f478,f648]) ).

fof(f681,definition,
    ( sQ110_spl
  <=> c3_2(a178,a176) ),
    introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).

fof(f682,plain,
    ( ~ sQ110_spl
    | c3_2(a178,a176) ),
    inference(component_clause,[status(thm)],[f681]) ).

fof(f684,definition,
    ( sQ111_spl
  <=> ssSkP0(a178) ),
    introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).

fof(f685,plain,
    ( ~ sQ111_spl
    | ssSkP0(a178) ),
    inference(component_clause,[status(thm)],[f684]) ).

fof(f687,plain,
    ( ~ sQ57_spl
    | sQ111_spl
    | sQ110_spl ),
    inference(split_clause,[status(thm)],[f678,f681,f684,f477]) ).

fof(f688,definition,
    ! [X0] :
      ( sQ112_spl
    <=> ( ~ c1_2(a178,X0)
        | c3_2(a178,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).

fof(f689,plain,
    ! [X0] :
      ( ~ sQ112_spl
      | ~ c1_2(a178,X0)
      | c3_2(a178,X0) ),
    inference(component_clause,[status(thm)],[f688]) ).

fof(f691,definition,
    ( sQ113_spl
  <=> c2_1(a178) ),
    introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).

fof(f692,plain,
    ( ~ sQ113_spl
    | c2_1(a178) ),
    inference(component_clause,[status(thm)],[f691]) ).

fof(f694,definition,
    ( sQ114_spl
  <=> c1_1(a178) ),
    introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).

fof(f695,plain,
    ( ~ sQ114_spl
    | c1_1(a178) ),
    inference(component_clause,[status(thm)],[f694]) ).

fof(f697,plain,
    ( ~ sQ83_spl
    | ~ sQ57_spl
    | sQ114_spl
    | sQ113_spl
    | ~ sQ39_spl
    | sQ112_spl ),
    inference(split_clause,[status(thm)],[f679,f688,f405,f691,f694,f477,f574]) ).

fof(f698,definition,
    ! [X0] :
      ( sQ115_spl
    <=> ( ~ c1_2(a178,X0)
        | ~ c3_2(a178,X0)
        | c3_2(a178,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).

fof(f701,plain,
    ( ~ sQ102_spl
    | ~ sQ57_spl
    | ~ sQ40_spl
    | ~ sQ114_spl
    | ~ sQ39_spl
    | sQ115_spl ),
    inference(split_clause,[status(thm)],[f680,f698,f405,f694,f409,f477,f647]) ).

fof(f702,plain,
    ! [X0] :
      ( ~ sQ82_spl
      | ~ sQ51_spl
      | c5_2(a183,X0)
      | c1_2(a183,X0)
      | ~ c5_1(a183)
      | ~ ndr1_1(a183)
      | c2_2(a183,a157) ),
    inference(resolution,[status(thm)],[f454,f571]) ).

fof(f703,plain,
    ( ~ sQ51_spl
    | ssSkP1(a183)
    | c2_2(a183,a185) ),
    inference(resolution,[status(thm)],[f454,f144]) ).

fof(f704,plain,
    ! [X0] :
      ( ~ sQ103_spl
      | ~ sQ51_spl
      | c1_1(a183)
      | c5_2(a183,a182)
      | c1_2(a183,X0)
      | c2_2(a183,X0)
      | ~ ndr1_1(a183)
      | c2_2(a183,X0) ),
    inference(resolution,[status(thm)],[f454,f651]) ).

fof(f705,plain,
    ! [X0] :
      ( ~ sQ104_spl
      | ~ sQ51_spl
      | c1_1(a183)
      | c1_2(a183,X0)
      | c2_2(a183,X0)
      | ~ c3_2(a183,a182)
      | ~ ndr1_1(a183)
      | c2_2(a183,X0) ),
    inference(resolution,[status(thm)],[f454,f655]) ).

fof(f706,definition,
    ( sQ116_spl
  <=> c2_2(a183,a157) ),
    introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).

fof(f707,plain,
    ( ~ sQ116_spl
    | c2_2(a183,a157) ),
    inference(component_clause,[status(thm)],[f706]) ).

fof(f709,definition,
    ( sQ117_spl
  <=> c5_1(a183) ),
    introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).

fof(f711,plain,
    ( sQ117_spl
    | ~ c5_1(a183) ),
    inference(component_clause,[status(thm)],[f709]) ).

fof(f712,definition,
    ! [X0] :
      ( sQ118_spl
    <=> ( c5_2(a183,X0)
        | c1_2(a183,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).

fof(f713,plain,
    ! [X0] :
      ( ~ sQ118_spl
      | c5_2(a183,X0)
      | c1_2(a183,X0) ),
    inference(component_clause,[status(thm)],[f712]) ).

fof(f715,plain,
    ( ~ sQ82_spl
    | ~ sQ51_spl
    | sQ118_spl
    | ~ sQ117_spl
    | ~ sQ13_spl
    | sQ116_spl ),
    inference(split_clause,[status(thm)],[f702,f706,f300,f709,f712,f453,f570]) ).

fof(f716,definition,
    ( sQ119_spl
  <=> c2_2(a183,a185) ),
    introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).

fof(f717,plain,
    ( ~ sQ119_spl
    | c2_2(a183,a185) ),
    inference(component_clause,[status(thm)],[f716]) ).

fof(f719,definition,
    ( sQ120_spl
  <=> ssSkP1(a183) ),
    introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).

fof(f720,plain,
    ( ~ sQ120_spl
    | ssSkP1(a183) ),
    inference(component_clause,[status(thm)],[f719]) ).

fof(f721,plain,
    ( sQ120_spl
    | ~ ssSkP1(a183) ),
    inference(component_clause,[status(thm)],[f719]) ).

fof(f722,plain,
    ( ~ sQ51_spl
    | sQ120_spl
    | sQ119_spl ),
    inference(split_clause,[status(thm)],[f703,f716,f719,f453]) ).

fof(f723,definition,
    ! [X0] :
      ( sQ121_spl
    <=> ( c1_2(a183,X0)
        | c2_2(a183,X0)
        | c2_2(a183,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).

fof(f724,plain,
    ! [X0] :
      ( ~ sQ121_spl
      | c1_2(a183,X0)
      | c2_2(a183,X0)
      | c2_2(a183,X0) ),
    inference(component_clause,[status(thm)],[f723]) ).

fof(f726,definition,
    ( sQ122_spl
  <=> c5_2(a183,a182) ),
    introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).

fof(f727,plain,
    ( ~ sQ122_spl
    | c5_2(a183,a182) ),
    inference(component_clause,[status(thm)],[f726]) ).

fof(f729,definition,
    ( sQ123_spl
  <=> c1_1(a183) ),
    introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).

fof(f730,plain,
    ( ~ sQ123_spl
    | c1_1(a183) ),
    inference(component_clause,[status(thm)],[f729]) ).

fof(f732,plain,
    ( ~ sQ103_spl
    | ~ sQ51_spl
    | sQ123_spl
    | sQ122_spl
    | ~ sQ13_spl
    | sQ121_spl ),
    inference(split_clause,[status(thm)],[f704,f723,f300,f726,f729,f453,f650]) ).

fof(f733,definition,
    ( sQ124_spl
  <=> c3_2(a183,a182) ),
    introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).

fof(f735,plain,
    ( sQ124_spl
    | ~ c3_2(a183,a182) ),
    inference(component_clause,[status(thm)],[f733]) ).

fof(f736,plain,
    ( ~ sQ104_spl
    | ~ sQ51_spl
    | sQ123_spl
    | ~ sQ124_spl
    | ~ sQ13_spl
    | sQ121_spl ),
    inference(split_clause,[status(thm)],[f705,f723,f300,f733,f729,f453,f654]) ).

fof(f737,plain,
    ! [X0] :
      ( ~ sQ121_spl
      | c1_2(a183,X0)
      | c2_2(a183,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f724]) ).

fof(f738,plain,
    ( ~ sQ64_spl
    | ssSkP0(a158)
    | c5_2(a158,a176)
    | c1_2(a158,a176) ),
    inference(resolution,[status(thm)],[f503,f145]) ).

fof(f739,plain,
    ! [X0] :
      ( ~ sQ83_spl
      | ~ sQ64_spl
      | c1_1(a158)
      | c2_1(a158)
      | ~ ndr1_1(a158)
      | ~ c1_2(a158,X0)
      | c5_2(a158,X0)
      | c1_2(a158,X0) ),
    inference(resolution,[status(thm)],[f503,f575]) ).

fof(f740,plain,
    ! [X0] :
      ( ~ sQ102_spl
      | ~ sQ64_spl
      | ~ c4_1(a158)
      | ~ c1_1(a158)
      | ~ ndr1_1(a158)
      | ~ c1_2(a158,X0)
      | ~ c3_2(a158,X0)
      | c5_2(a158,X0)
      | c1_2(a158,X0) ),
    inference(resolution,[status(thm)],[f503,f648]) ).

fof(f741,definition,
    ( sQ125_spl
  <=> c1_2(a158,a176) ),
    introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).

fof(f742,plain,
    ( ~ sQ125_spl
    | c1_2(a158,a176) ),
    inference(component_clause,[status(thm)],[f741]) ).

fof(f744,definition,
    ( sQ126_spl
  <=> c5_2(a158,a176) ),
    introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).

fof(f745,plain,
    ( ~ sQ126_spl
    | c5_2(a158,a176) ),
    inference(component_clause,[status(thm)],[f744]) ).

fof(f747,definition,
    ( sQ127_spl
  <=> ssSkP0(a158) ),
    introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).

fof(f748,plain,
    ( ~ sQ127_spl
    | ssSkP0(a158) ),
    inference(component_clause,[status(thm)],[f747]) ).

fof(f750,plain,
    ( ~ sQ64_spl
    | sQ127_spl
    | sQ126_spl
    | sQ125_spl ),
    inference(split_clause,[status(thm)],[f738,f741,f744,f747,f502]) ).

fof(f751,definition,
    ! [X0] :
      ( sQ128_spl
    <=> ( ~ c1_2(a158,X0)
        | c5_2(a158,X0)
        | c1_2(a158,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).

fof(f754,definition,
    ( sQ129_spl
  <=> c2_1(a158) ),
    introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).

fof(f755,plain,
    ( ~ sQ129_spl
    | c2_1(a158) ),
    inference(component_clause,[status(thm)],[f754]) ).

fof(f756,plain,
    ( sQ129_spl
    | ~ c2_1(a158) ),
    inference(component_clause,[status(thm)],[f754]) ).

fof(f757,definition,
    ( sQ130_spl
  <=> c1_1(a158) ),
    introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).

fof(f758,plain,
    ( ~ sQ130_spl
    | c1_1(a158) ),
    inference(component_clause,[status(thm)],[f757]) ).

fof(f760,plain,
    ( ~ sQ83_spl
    | ~ sQ64_spl
    | sQ130_spl
    | sQ129_spl
    | ~ sQ63_spl
    | sQ128_spl ),
    inference(split_clause,[status(thm)],[f739,f751,f499,f754,f757,f502,f574]) ).

fof(f761,definition,
    ! [X0] :
      ( sQ131_spl
    <=> ( ~ c1_2(a158,X0)
        | ~ c3_2(a158,X0)
        | c5_2(a158,X0)
        | c1_2(a158,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).

fof(f764,definition,
    ( sQ132_spl
  <=> c4_1(a158) ),
    introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).

fof(f765,plain,
    ( ~ sQ132_spl
    | c4_1(a158) ),
    inference(component_clause,[status(thm)],[f764]) ).

fof(f766,plain,
    ( sQ132_spl
    | ~ c4_1(a158) ),
    inference(component_clause,[status(thm)],[f764]) ).

fof(f767,plain,
    ( ~ sQ102_spl
    | ~ sQ64_spl
    | ~ sQ132_spl
    | ~ sQ130_spl
    | ~ sQ63_spl
    | sQ131_spl ),
    inference(split_clause,[status(thm)],[f740,f761,f499,f757,f764,f502,f647]) ).

fof(f768,plain,
    ! [X0] :
      ( ~ sQ45_spl
      | ndr1_1(X0)
      | ~ c3_1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f430,f111]) ).

fof(f769,plain,
    ( ~ sQ118_spl
    | ~ sQ52_spl
    | c5_2(a183,a186)
    | ~ c3_1(a183)
    | ~ ssSkP1(a183) ),
    inference(resolution,[status(thm)],[f458,f713]) ).

fof(f770,plain,
    ( ~ sQ121_spl
    | ~ sQ52_spl
    | c2_2(a183,a186)
    | ~ c3_1(a183)
    | ~ ssSkP1(a183) ),
    inference(resolution,[status(thm)],[f458,f737]) ).

fof(f771,definition,
    ( sQ133_spl
  <=> c3_1(a183) ),
    introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).

fof(f773,plain,
    ( sQ133_spl
    | ~ c3_1(a183) ),
    inference(component_clause,[status(thm)],[f771]) ).

fof(f774,definition,
    ( sQ134_spl
  <=> c5_2(a183,a186) ),
    introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).

fof(f775,plain,
    ( ~ sQ134_spl
    | c5_2(a183,a186) ),
    inference(component_clause,[status(thm)],[f774]) ).

fof(f777,plain,
    ( ~ sQ118_spl
    | ~ sQ52_spl
    | sQ134_spl
    | ~ sQ133_spl
    | ~ sQ120_spl ),
    inference(split_clause,[status(thm)],[f769,f719,f771,f774,f457,f712]) ).

fof(f778,definition,
    ( sQ135_spl
  <=> c2_2(a183,a186) ),
    introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).

fof(f779,plain,
    ( ~ sQ135_spl
    | c2_2(a183,a186) ),
    inference(component_clause,[status(thm)],[f778]) ).

fof(f781,plain,
    ( ~ sQ121_spl
    | ~ sQ52_spl
    | sQ135_spl
    | ~ sQ133_spl
    | ~ sQ120_spl ),
    inference(split_clause,[status(thm)],[f770,f719,f771,f778,f457,f723]) ).

fof(f782,plain,
    ( ~ sQ60_spl
    | ~ sQ55_spl
    | c3_2(a169,a174)
    | c2_2(a169,a174)
    | c1_1(a169)
    | ~ c3_1(a169) ),
    inference(resolution,[status(thm)],[f470,f489]) ).

fof(f783,definition,
    ( sQ136_spl
  <=> c1_1(a169) ),
    introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).

fof(f784,plain,
    ( ~ sQ136_spl
    | c1_1(a169) ),
    inference(component_clause,[status(thm)],[f783]) ).

fof(f786,definition,
    ( sQ137_spl
  <=> c2_2(a169,a174) ),
    introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).

fof(f787,plain,
    ( ~ sQ137_spl
    | c2_2(a169,a174) ),
    inference(component_clause,[status(thm)],[f786]) ).

fof(f789,definition,
    ( sQ138_spl
  <=> c3_2(a169,a174) ),
    introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).

fof(f790,plain,
    ( ~ sQ138_spl
    | c3_2(a169,a174) ),
    inference(component_clause,[status(thm)],[f789]) ).

fof(f792,plain,
    ( ~ sQ60_spl
    | ~ sQ55_spl
    | sQ138_spl
    | sQ137_spl
    | sQ136_spl
    | ~ sQ10_spl ),
    inference(split_clause,[status(thm)],[f782,f288,f783,f786,f789,f469,f488]) ).

fof(f793,plain,
    ( ~ sQ48_spl
    | ~ sQ22_spl
    | c4_2(a158,a186)
    | ~ ssSkP1(a158) ),
    inference(resolution,[status(thm)],[f337,f442]) ).

fof(f794,plain,
    ( ~ sQ45_spl
    | ~ sQ22_spl
    | ndr1_1(a158) ),
    inference(resolution,[status(thm)],[f337,f768]) ).

fof(f795,definition,
    ( sQ139_spl
  <=> ssSkP1(a158) ),
    introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).

fof(f797,plain,
    ( sQ139_spl
    | ~ ssSkP1(a158) ),
    inference(component_clause,[status(thm)],[f795]) ).

fof(f798,definition,
    ( sQ140_spl
  <=> c4_2(a158,a186) ),
    introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).

fof(f799,plain,
    ( ~ sQ140_spl
    | c4_2(a158,a186) ),
    inference(component_clause,[status(thm)],[f798]) ).

fof(f801,plain,
    ( ~ sQ48_spl
    | ~ sQ22_spl
    | sQ140_spl
    | ~ sQ139_spl ),
    inference(split_clause,[status(thm)],[f793,f795,f798,f336,f441]) ).

fof(f802,plain,
    ! [X0] :
      ( ~ sQ78_spl
      | ~ sQ23_spl
      | c2_2(a158,a157)
      | c5_2(a158,X0)
      | c1_2(a158,X0)
      | ~ ndr1_1(a158) ),
    inference(resolution,[status(thm)],[f341,f555]) ).

fof(f803,plain,
    ! [X0] :
      ( ~ sQ96_spl
      | ~ sQ23_spl
      | c4_2(a158,X0)
      | c5_2(a158,X0)
      | c2_2(a158,X0)
      | ~ c2_1(a158)
      | ~ ndr1_1(a158) ),
    inference(resolution,[status(thm)],[f341,f625]) ).

fof(f804,plain,
    ( ~ sQ77_spl
    | ~ sQ23_spl
    | c4_1(a158)
    | ~ c2_1(a158) ),
    inference(resolution,[status(thm)],[f341,f551]) ).

fof(f805,plain,
    ( ~ sQ61_spl
    | ~ sQ23_spl
    | c1_1(a158)
    | ~ c2_1(a158) ),
    inference(resolution,[status(thm)],[f341,f493]) ).

fof(f806,definition,
    ! [X0] :
      ( sQ141_spl
    <=> ( c5_2(a158,X0)
        | c1_2(a158,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).

fof(f807,plain,
    ! [X0] :
      ( ~ sQ141_spl
      | c5_2(a158,X0)
      | c1_2(a158,X0) ),
    inference(component_clause,[status(thm)],[f806]) ).

fof(f809,definition,
    ( sQ142_spl
  <=> c2_2(a158,a157) ),
    introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).

fof(f810,plain,
    ( ~ sQ142_spl
    | c2_2(a158,a157) ),
    inference(component_clause,[status(thm)],[f809]) ).

fof(f812,plain,
    ( ~ sQ78_spl
    | ~ sQ23_spl
    | sQ142_spl
    | sQ141_spl
    | ~ sQ63_spl ),
    inference(split_clause,[status(thm)],[f802,f499,f806,f809,f340,f554]) ).

fof(f813,definition,
    ! [X0] :
      ( sQ143_spl
    <=> ( c4_2(a158,X0)
        | c5_2(a158,X0)
        | c2_2(a158,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).

fof(f814,plain,
    ! [X0] :
      ( ~ sQ143_spl
      | c4_2(a158,X0)
      | c5_2(a158,X0)
      | c2_2(a158,X0) ),
    inference(component_clause,[status(thm)],[f813]) ).

fof(f816,plain,
    ( ~ sQ96_spl
    | ~ sQ23_spl
    | sQ143_spl
    | ~ sQ129_spl
    | ~ sQ63_spl ),
    inference(split_clause,[status(thm)],[f803,f499,f754,f813,f340,f624]) ).

fof(f817,plain,
    ( ~ sQ77_spl
    | ~ sQ23_spl
    | sQ132_spl
    | ~ sQ129_spl ),
    inference(split_clause,[status(thm)],[f804,f754,f764,f340,f550]) ).

fof(f818,plain,
    ( ~ sQ61_spl
    | ~ sQ23_spl
    | sQ130_spl
    | ~ sQ129_spl ),
    inference(split_clause,[status(thm)],[f805,f754,f757,f340,f492]) ).

fof(f819,plain,
    ( ~ sQ143_spl
    | ssSkP0(a158)
    | c5_2(a158,a176)
    | c2_2(a158,a176) ),
    inference(resolution,[status(thm)],[f814,f145]) ).

fof(f820,plain,
    ! [X0] :
      ( ~ sQ83_spl
      | ~ sQ143_spl
      | c1_1(a158)
      | c2_1(a158)
      | ~ ndr1_1(a158)
      | ~ c1_2(a158,X0)
      | c5_2(a158,X0)
      | c2_2(a158,X0) ),
    inference(resolution,[status(thm)],[f814,f575]) ).

fof(f821,definition,
    ( sQ144_spl
  <=> c2_2(a158,a176) ),
    introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).

fof(f822,plain,
    ( ~ sQ144_spl
    | c2_2(a158,a176) ),
    inference(component_clause,[status(thm)],[f821]) ).

fof(f824,plain,
    ( ~ sQ143_spl
    | sQ127_spl
    | sQ126_spl
    | sQ144_spl ),
    inference(split_clause,[status(thm)],[f819,f821,f744,f747,f813]) ).

fof(f825,definition,
    ! [X0] :
      ( sQ145_spl
    <=> ( ~ c1_2(a158,X0)
        | c5_2(a158,X0)
        | c2_2(a158,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).

fof(f826,plain,
    ! [X0] :
      ( ~ sQ145_spl
      | ~ c1_2(a158,X0)
      | c5_2(a158,X0)
      | c2_2(a158,X0) ),
    inference(component_clause,[status(thm)],[f825]) ).

fof(f828,plain,
    ( ~ sQ83_spl
    | ~ sQ143_spl
    | sQ130_spl
    | sQ129_spl
    | ~ sQ63_spl
    | sQ145_spl ),
    inference(split_clause,[status(thm)],[f820,f825,f499,f754,f757,f813,f574]) ).

fof(f829,plain,
    ( ~ sQ56_spl
    | ~ sQ141_spl
    | c1_1(a158)
    | ~ c3_1(a158)
    | c5_2(a158,a174) ),
    inference(resolution,[status(thm)],[f807,f474]) ).

fof(f830,definition,
    ( sQ146_spl
  <=> c5_2(a158,a174) ),
    introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).

fof(f831,plain,
    ( ~ sQ146_spl
    | c5_2(a158,a174) ),
    inference(component_clause,[status(thm)],[f830]) ).

fof(f833,plain,
    ( ~ sQ56_spl
    | ~ sQ141_spl
    | sQ130_spl
    | ~ sQ22_spl
    | sQ146_spl ),
    inference(split_clause,[status(thm)],[f829,f830,f336,f757,f806,f473]) ).

fof(f836,plain,
    ( ~ sQ45_spl
    | ~ sQ10_spl
    | ndr1_1(a169) ),
    inference(resolution,[status(thm)],[f289,f768]) ).

fof(f837,plain,
    ! [X0,X1] :
      ( ~ sQ86_spl
      | ~ sQ97_spl
      | c3_1(X0)
      | c1_1(X0)
      | c2_2(X0,X1)
      | ~ c5_2(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f586,f628]) ).

fof(f838,plain,
    ! [X0,X1] :
      ( ~ sQ83_spl
      | ~ sQ97_spl
      | c1_1(X0)
      | c2_1(X0)
      | ~ c1_2(X0,X1)
      | ~ c4_2(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f575,f628]) ).

fof(f839,plain,
    ( sQ59_spl
    | ~ sQ97_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f487,f628]) ).

fof(f840,plain,
    ( sQ59_spl
    | ~ sQ97_spl ),
    inference(contradiction_clause,[status(thm)],[f839]) ).

fof(f841,plain,
    ! [X0,X1] :
      ( ~ sQ96_spl
      | ~ sQ46_spl
      | c4_2(X0,X1)
      | c5_2(X0,X1)
      | c2_2(X0,X1)
      | ~ c5_1(X0)
      | ~ c2_1(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f625,f434]) ).

fof(f842,plain,
    ( ~ sQ51_spl
    | ~ sQ100_spl
    | c2_2(a183,a173) ),
    inference(resolution,[status(thm)],[f640,f454]) ).

fof(f843,plain,
    ( ~ sQ86_spl
    | ~ sQ88_spl
    | c3_1(a163)
    | c1_1(a163)
    | c2_2(a163,a164)
    | ~ ndr1_1(a163) ),
    inference(resolution,[status(thm)],[f593,f586]) ).

fof(f844,definition,
    ( sQ147_spl
  <=> c2_2(a163,a164) ),
    introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).

fof(f845,plain,
    ( ~ sQ147_spl
    | c2_2(a163,a164) ),
    inference(component_clause,[status(thm)],[f844]) ).

fof(f847,definition,
    ( sQ148_spl
  <=> c1_1(a163) ),
    introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).

fof(f848,plain,
    ( ~ sQ148_spl
    | c1_1(a163) ),
    inference(component_clause,[status(thm)],[f847]) ).

fof(f850,plain,
    ( ~ sQ86_spl
    | ~ sQ88_spl
    | sQ85_spl
    | sQ148_spl
    | sQ147_spl
    | ~ sQ84_spl ),
    inference(split_clause,[status(thm)],[f843,f577,f844,f847,f581,f592,f585]) ).

fof(f851,plain,
    ( ~ sQ21_spl
    | ~ sQ81_spl
    | c3_2(a165,a177)
    | ~ ssSkP0(a165) ),
    inference(resolution,[status(thm)],[f567,f333]) ).

fof(f852,definition,
    ( sQ149_spl
  <=> ssSkP0(a165) ),
    introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).

fof(f854,plain,
    ( sQ149_spl
    | ~ ssSkP0(a165) ),
    inference(component_clause,[status(thm)],[f852]) ).

fof(f855,definition,
    ( sQ150_spl
  <=> c3_2(a165,a177) ),
    introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).

fof(f856,plain,
    ( ~ sQ150_spl
    | c3_2(a165,a177) ),
    inference(component_clause,[status(thm)],[f855]) ).

fof(f857,plain,
    ( sQ150_spl
    | ~ c3_2(a165,a177) ),
    inference(component_clause,[status(thm)],[f855]) ).

fof(f858,plain,
    ( ~ sQ21_spl
    | ~ sQ81_spl
    | sQ150_spl
    | ~ sQ149_spl ),
    inference(split_clause,[status(thm)],[f851,f852,f855,f566,f332]) ).

fof(f859,plain,
    ( ~ sQ21_spl
    | ~ sQ80_spl
    | c4_2(a165,a177)
    | ~ ssSkP0(a165) ),
    inference(resolution,[status(thm)],[f563,f333]) ).

fof(f860,definition,
    ( sQ151_spl
  <=> c4_2(a165,a177) ),
    introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).

fof(f861,plain,
    ( ~ sQ151_spl
    | c4_2(a165,a177) ),
    inference(component_clause,[status(thm)],[f860]) ).

fof(f863,plain,
    ( ~ sQ21_spl
    | ~ sQ80_spl
    | sQ151_spl
    | ~ sQ149_spl ),
    inference(split_clause,[status(thm)],[f859,f852,f860,f562,f332]) ).

fof(f864,plain,
    ! [X0] :
      ( ~ sQ76_spl
      | ndr1_1(X0)
      | ~ c1_1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f548,f112]) ).

fof(f865,plain,
    ( ~ sQ83_spl
    | ~ sQ69_spl
    | c1_1(a167)
    | c2_1(a167)
    | ~ ndr1_1(a167)
    | ~ c1_2(a167,a168) ),
    inference(resolution,[status(thm)],[f522,f575]) ).

fof(f866,definition,
    ( sQ152_spl
  <=> c1_2(a167,a168) ),
    introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).

fof(f868,plain,
    ( sQ152_spl
    | ~ c1_2(a167,a168) ),
    inference(component_clause,[status(thm)],[f866]) ).

fof(f869,definition,
    ( sQ153_spl
  <=> c2_1(a167) ),
    introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).

fof(f870,plain,
    ( ~ sQ153_spl
    | c2_1(a167) ),
    inference(component_clause,[status(thm)],[f869]) ).

fof(f872,definition,
    ( sQ154_spl
  <=> c1_1(a167) ),
    introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).

fof(f873,plain,
    ( ~ sQ154_spl
    | c1_1(a167) ),
    inference(component_clause,[status(thm)],[f872]) ).

fof(f875,plain,
    ( ~ sQ83_spl
    | ~ sQ69_spl
    | sQ154_spl
    | sQ153_spl
    | ~ sQ62_spl
    | ~ sQ152_spl ),
    inference(split_clause,[status(thm)],[f865,f866,f495,f869,f872,f521,f574]) ).

fof(f876,plain,
    ( ~ sQ50_spl
    | ~ sQ33_spl
    | c2_2(a175,a187) ),
    inference(resolution,[status(thm)],[f382,f450]) ).

fof(f877,plain,
    ( ~ sQ49_spl
    | ~ sQ33_spl
    | c1_2(a175,a187) ),
    inference(resolution,[status(thm)],[f382,f446]) ).

fof(f878,plain,
    ( ~ sQ46_spl
    | ~ sQ33_spl
    | ndr1_1(a175) ),
    inference(resolution,[status(thm)],[f382,f434]) ).

fof(f879,plain,
    ( ~ sQ46_spl
    | ~ sQ33_spl
    | sQ75_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f878,f545]) ).

fof(f880,plain,
    ( ~ sQ46_spl
    | ~ sQ33_spl
    | sQ75_spl ),
    inference(contradiction_clause,[status(thm)],[f879]) ).

fof(f881,plain,
    ! [X0,X1] :
      ( ~ sQ102_spl
      | ~ sQ76_spl
      | ~ c4_1(X0)
      | ~ c1_1(X0)
      | ~ c1_2(X0,X1)
      | ~ c3_2(X0,X1)
      | ~ c4_2(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f648,f864]) ).

fof(f882,plain,
    ( ~ sQ86_spl
    | ~ sQ43_spl
    | c3_1(a178)
    | c1_1(a178)
    | c2_2(a178,a179)
    | ~ ndr1_1(a178) ),
    inference(resolution,[status(thm)],[f422,f586]) ).

fof(f883,definition,
    ( sQ155_spl
  <=> c2_2(a178,a179) ),
    introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).

fof(f884,plain,
    ( ~ sQ155_spl
    | c2_2(a178,a179) ),
    inference(component_clause,[status(thm)],[f883]) ).

fof(f886,definition,
    ( sQ156_spl
  <=> c3_1(a178) ),
    introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).

fof(f887,plain,
    ( ~ sQ156_spl
    | c3_1(a178) ),
    inference(component_clause,[status(thm)],[f886]) ).

fof(f889,plain,
    ( ~ sQ86_spl
    | ~ sQ43_spl
    | sQ156_spl
    | sQ114_spl
    | sQ155_spl
    | ~ sQ39_spl ),
    inference(split_clause,[status(thm)],[f882,f405,f883,f694,f886,f421,f585]) ).

fof(f890,plain,
    ( ~ sQ56_spl
    | ~ sQ121_spl
    | c1_1(a183)
    | ~ c3_1(a183)
    | c2_2(a183,a174) ),
    inference(resolution,[status(thm)],[f737,f474]) ).

fof(f891,definition,
    ( sQ157_spl
  <=> c2_2(a183,a174) ),
    introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).

fof(f892,plain,
    ( ~ sQ157_spl
    | c2_2(a183,a174) ),
    inference(component_clause,[status(thm)],[f891]) ).

fof(f894,plain,
    ( ~ sQ56_spl
    | ~ sQ121_spl
    | sQ123_spl
    | ~ sQ133_spl
    | sQ157_spl ),
    inference(split_clause,[status(thm)],[f890,f891,f771,f729,f723,f473]) ).

fof(f895,plain,
    ( ~ sQ76_spl
    | ~ sQ32_spl
    | ndr1_1(a175) ),
    inference(resolution,[status(thm)],[f378,f864]) ).

fof(f896,plain,
    ( ~ sQ79_spl
    | ~ sQ32_spl
    | c2_2(a175,a177)
    | ~ ssSkP0(a175) ),
    inference(resolution,[status(thm)],[f378,f559]) ).

fof(f897,definition,
    ( sQ158_spl
  <=> ssSkP0(a175) ),
    introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).

fof(f899,plain,
    ( sQ158_spl
    | ~ ssSkP0(a175) ),
    inference(component_clause,[status(thm)],[f897]) ).

fof(f900,definition,
    ( sQ159_spl
  <=> c2_2(a175,a177) ),
    introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).

fof(f901,plain,
    ( ~ sQ159_spl
    | c2_2(a175,a177) ),
    inference(component_clause,[status(thm)],[f900]) ).

fof(f903,plain,
    ( ~ sQ79_spl
    | ~ sQ32_spl
    | sQ159_spl
    | ~ sQ158_spl ),
    inference(split_clause,[status(thm)],[f896,f897,f900,f377,f558]) ).

fof(f904,plain,
    ( ~ sQ50_spl
    | ~ sQ14_spl
    | c2_2(a183,a187) ),
    inference(resolution,[status(thm)],[f305,f450]) ).

fof(f905,plain,
    ( ~ sQ49_spl
    | ~ sQ14_spl
    | c1_2(a183,a187) ),
    inference(resolution,[status(thm)],[f305,f446]) ).

fof(f906,plain,
    ( ~ sQ46_spl
    | ~ sQ14_spl
    | ndr1_1(a183) ),
    inference(resolution,[status(thm)],[f305,f434]) ).

fof(f907,plain,
    ( ~ sQ50_spl
    | ~ sQ16_spl
    | c2_2(a180,a187) ),
    inference(resolution,[status(thm)],[f313,f450]) ).

fof(f908,plain,
    ( ~ sQ49_spl
    | ~ sQ16_spl
    | c1_2(a180,a187) ),
    inference(resolution,[status(thm)],[f313,f446]) ).

fof(f909,plain,
    ( ~ sQ46_spl
    | ~ sQ16_spl
    | ndr1_1(a180) ),
    inference(resolution,[status(thm)],[f313,f434]) ).

fof(f910,plain,
    ( ~ sQ46_spl
    | ~ sQ16_spl
    | sQ73_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f909,f538]) ).

fof(f911,plain,
    ( ~ sQ46_spl
    | ~ sQ16_spl
    | sQ73_spl ),
    inference(contradiction_clause,[status(thm)],[f910]) ).

fof(f914,plain,
    ( ~ sQ76_spl
    | ~ sQ107_spl
    | ndr1_1(a161) ),
    inference(resolution,[status(thm)],[f667,f864]) ).

fof(f915,plain,
    ( ~ sQ50_spl
    | ~ sQ113_spl
    | c2_2(a178,a187) ),
    inference(resolution,[status(thm)],[f692,f450]) ).

fof(f916,plain,
    ( ~ sQ49_spl
    | ~ sQ113_spl
    | c1_2(a178,a187) ),
    inference(resolution,[status(thm)],[f692,f446]) ).

fof(f917,plain,
    ( ~ sQ76_spl
    | ~ sQ123_spl
    | ndr1_1(a183) ),
    inference(resolution,[status(thm)],[f730,f864]) ).

fof(f918,plain,
    ( ~ sQ76_spl
    | ~ sQ15_spl
    | ndr1_1(a181) ),
    inference(resolution,[status(thm)],[f309,f864]) ).

fof(f919,plain,
    ( ~ sQ76_spl
    | ~ sQ15_spl
    | sQ66_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f918,f511]) ).

fof(f920,plain,
    ( ~ sQ76_spl
    | ~ sQ15_spl
    | sQ66_spl ),
    inference(contradiction_clause,[status(thm)],[f919]) ).

fof(f921,plain,
    ( ~ sQ17_spl
    | ~ sQ45_spl
    | ndr1_1(a180) ),
    inference(resolution,[status(thm)],[f768,f317]) ).

fof(f922,plain,
    ( ~ sQ85_spl
    | ~ sQ45_spl
    | ndr1_1(a163) ),
    inference(resolution,[status(thm)],[f768,f582]) ).

fof(f923,plain,
    ( ~ sQ10_spl
    | ~ sQ45_spl
    | ndr1_1(a169) ),
    inference(resolution,[status(thm)],[f768,f289]) ).

fof(f924,plain,
    ( ~ sQ10_spl
    | ~ sQ45_spl
    | sQ59_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f923,f487]) ).

fof(f925,plain,
    ( ~ sQ10_spl
    | ~ sQ45_spl
    | sQ59_spl ),
    inference(contradiction_clause,[status(thm)],[f924]) ).

fof(f926,plain,
    ! [X0,X1] :
      ( ~ sQ82_spl
      | ~ sQ97_spl
      | c5_2(X0,X1)
      | c1_2(X0,X1)
      | ~ c5_1(X0)
      | ~ c3_2(X0,a157) ),
    inference(backward_subsumption_resolution,[status(thm)],[f571,f628]) ).

fof(f927,plain,
    ! [X0,X1] :
      ( ~ sQ78_spl
      | ~ sQ97_spl
      | c2_2(X0,a157)
      | c5_2(X0,X1)
      | c1_2(X0,X1)
      | ~ c5_1(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f555,f628]) ).

fof(f928,plain,
    ! [X0,X1] :
      ( ~ sQ96_spl
      | ~ sQ97_spl
      | c4_2(X0,X1)
      | c5_2(X0,X1)
      | c2_2(X0,X1)
      | ~ c5_1(X0)
      | ~ c2_1(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f625,f628]) ).

fof(f929,plain,
    ( sQ39_spl
    | ~ sQ97_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f407,f628]) ).

fof(f930,plain,
    ( sQ62_spl
    | ~ sQ97_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f497,f628]) ).

fof(f931,plain,
    ( sQ63_spl
    | ~ sQ97_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f501,f628]) ).

fof(f932,plain,
    ( sQ39_spl
    | ~ sQ97_spl ),
    inference(contradiction_clause,[status(thm)],[f929]) ).

fof(f937,plain,
    ( ~ sQ123_spl
    | ~ sQ76_spl
    | ndr1_1(a183) ),
    inference(resolution,[status(thm)],[f864,f730]) ).

fof(f938,plain,
    ( ~ sQ107_spl
    | ~ sQ76_spl
    | ndr1_1(a161) ),
    inference(resolution,[status(thm)],[f864,f667]) ).

fof(f939,plain,
    ( ~ sQ119_spl
    | ssSkP1(a183) ),
    inference(resolution,[status(thm)],[f717,f143]) ).

fof(f940,plain,
    ( ~ sQ119_spl
    | sQ120_spl ),
    inference(split_clause,[status(thm)],[f939,f719,f716]) ).

fof(f941,plain,
    ( ~ sQ51_spl
    | sQ124_spl
    | c2_2(a183,a182) ),
    inference(resolution,[status(thm)],[f735,f454]) ).

fof(f942,plain,
    ( ~ sQ86_spl
    | ~ sQ122_spl
    | c3_1(a183)
    | c1_1(a183)
    | c2_2(a183,a182)
    | ~ ndr1_1(a183) ),
    inference(resolution,[status(thm)],[f727,f586]) ).

fof(f943,definition,
    ( sQ160_spl
  <=> c2_2(a183,a182) ),
    introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).

fof(f944,plain,
    ( ~ sQ160_spl
    | c2_2(a183,a182) ),
    inference(component_clause,[status(thm)],[f943]) ).

fof(f946,plain,
    ( ~ sQ86_spl
    | ~ sQ122_spl
    | sQ133_spl
    | sQ123_spl
    | sQ160_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f942,f300,f943,f729,f771,f726,f585]) ).

fof(f947,plain,
    ( ~ sQ86_spl
    | ~ sQ126_spl
    | c3_1(a158)
    | c1_1(a158)
    | c2_2(a158,a176)
    | ~ ndr1_1(a158) ),
    inference(resolution,[status(thm)],[f745,f586]) ).

fof(f948,plain,
    ( ~ sQ86_spl
    | ~ sQ126_spl
    | sQ22_spl
    | sQ130_spl
    | sQ144_spl
    | ~ sQ63_spl ),
    inference(split_clause,[status(thm)],[f947,f499,f821,f757,f336,f744,f585]) ).

fof(f949,plain,
    ( ~ sQ45_spl
    | ~ sQ22_spl
    | sQ63_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f794,f501]) ).

fof(f950,plain,
    ( ~ sQ45_spl
    | ~ sQ22_spl
    | sQ63_spl ),
    inference(contradiction_clause,[status(thm)],[f949]) ).

fof(f951,plain,
    ( ~ sQ145_spl
    | ~ sQ125_spl
    | c5_2(a158,a176)
    | c2_2(a158,a176) ),
    inference(resolution,[status(thm)],[f742,f826]) ).

fof(f952,plain,
    ( ~ sQ145_spl
    | ~ sQ125_spl
    | sQ126_spl
    | sQ144_spl ),
    inference(split_clause,[status(thm)],[f951,f821,f744,f741,f825]) ).

fof(f953,plain,
    ( ~ sQ76_spl
    | ~ sQ136_spl
    | ndr1_1(a169) ),
    inference(resolution,[status(thm)],[f784,f864]) ).

fof(f954,plain,
    ( ~ sQ54_spl
    | ~ sQ137_spl
    | c1_1(a169)
    | ~ c3_1(a169) ),
    inference(resolution,[status(thm)],[f787,f466]) ).

fof(f955,plain,
    ( ~ sQ54_spl
    | ~ sQ137_spl
    | sQ136_spl
    | ~ sQ10_spl ),
    inference(split_clause,[status(thm)],[f954,f288,f783,f786,f465]) ).

fof(f956,plain,
    ( sQ139_spl
    | ndr1_1(a158) ),
    inference(resolution,[status(thm)],[f797,f111]) ).

fof(f957,plain,
    ( ~ sQ76_spl
    | ~ sQ130_spl
    | ndr1_1(a158) ),
    inference(resolution,[status(thm)],[f758,f864]) ).

fof(f958,plain,
    ( ~ sQ83_spl
    | ~ sQ140_spl
    | c1_1(a158)
    | c2_1(a158)
    | ~ ndr1_1(a158)
    | ~ c1_2(a158,a186) ),
    inference(resolution,[status(thm)],[f799,f575]) ).

fof(f959,plain,
    ( ~ sQ102_spl
    | ~ sQ76_spl
    | ~ sQ140_spl
    | ~ c4_1(a158)
    | ~ c1_1(a158)
    | ~ c1_2(a158,a186)
    | ~ c3_2(a158,a186) ),
    inference(resolution,[status(thm)],[f799,f881]) ).

fof(f960,definition,
    ( sQ161_spl
  <=> c1_2(a158,a186) ),
    introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).

fof(f962,plain,
    ( sQ161_spl
    | ~ c1_2(a158,a186) ),
    inference(component_clause,[status(thm)],[f960]) ).

fof(f963,plain,
    ( ~ sQ83_spl
    | ~ sQ140_spl
    | sQ130_spl
    | sQ129_spl
    | ~ sQ63_spl
    | ~ sQ161_spl ),
    inference(split_clause,[status(thm)],[f958,f960,f499,f754,f757,f798,f574]) ).

fof(f964,definition,
    ( sQ162_spl
  <=> c3_2(a158,a186) ),
    introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).

fof(f966,plain,
    ( sQ162_spl
    | ~ c3_2(a158,a186) ),
    inference(component_clause,[status(thm)],[f964]) ).

fof(f967,plain,
    ( ~ sQ102_spl
    | ~ sQ76_spl
    | ~ sQ140_spl
    | ~ sQ132_spl
    | ~ sQ130_spl
    | ~ sQ161_spl
    | ~ sQ162_spl ),
    inference(split_clause,[status(thm)],[f959,f964,f960,f757,f764,f798,f547,f647]) ).

fof(f968,plain,
    ( sQ149_spl
    | ndr1_1(a165) ),
    inference(resolution,[status(thm)],[f854,f112]) ).

fof(f969,plain,
    ( ~ sQ50_spl
    | ~ sQ153_spl
    | c2_2(a167,a187) ),
    inference(resolution,[status(thm)],[f870,f450]) ).

fof(f970,plain,
    ( ~ sQ49_spl
    | ~ sQ153_spl
    | c1_2(a167,a187) ),
    inference(resolution,[status(thm)],[f870,f446]) ).

fof(f971,plain,
    ( ~ sQ70_spl
    | ~ sQ150_spl
    | c4_2(a165,a177)
    | c5_2(a165,a177) ),
    inference(resolution,[status(thm)],[f856,f526]) ).

fof(f972,definition,
    ( sQ163_spl
  <=> c5_2(a165,a177) ),
    introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).

fof(f973,plain,
    ( ~ sQ163_spl
    | c5_2(a165,a177) ),
    inference(component_clause,[status(thm)],[f972]) ).

fof(f975,plain,
    ( ~ sQ70_spl
    | ~ sQ150_spl
    | sQ151_spl
    | sQ163_spl ),
    inference(split_clause,[status(thm)],[f971,f972,f860,f855,f525]) ).

fof(f976,plain,
    ( ~ sQ83_spl
    | ~ sQ151_spl
    | c1_1(a165)
    | c2_1(a165)
    | ~ ndr1_1(a165)
    | ~ c1_2(a165,a177) ),
    inference(resolution,[status(thm)],[f861,f575]) ).

fof(f977,definition,
    ( sQ164_spl
  <=> c1_2(a165,a177) ),
    introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).

fof(f979,plain,
    ( sQ164_spl
    | ~ c1_2(a165,a177) ),
    inference(component_clause,[status(thm)],[f977]) ).

fof(f980,definition,
    ( sQ165_spl
  <=> c2_1(a165) ),
    introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).

fof(f981,plain,
    ( ~ sQ165_spl
    | c2_1(a165) ),
    inference(component_clause,[status(thm)],[f980]) ).

fof(f983,plain,
    ( ~ sQ83_spl
    | ~ sQ151_spl
    | sQ21_spl
    | sQ165_spl
    | ~ sQ20_spl
    | ~ sQ164_spl ),
    inference(split_clause,[status(thm)],[f976,f977,f328,f980,f332,f860,f574]) ).

fof(f984,plain,
    ( ~ sQ45_spl
    | ~ sQ156_spl
    | ndr1_1(a178) ),
    inference(resolution,[status(thm)],[f887,f768]) ).

fof(f985,plain,
    ( sQ158_spl
    | ndr1_1(a175) ),
    inference(resolution,[status(thm)],[f899,f112]) ).

fof(f986,plain,
    ( ~ sQ72_spl
    | ~ sQ49_spl
    | ~ sQ16_spl
    | c4_2(a180,a187)
    | ~ c5_2(a180,a187) ),
    inference(resolution,[status(thm)],[f908,f534]) ).

fof(f987,definition,
    ( sQ166_spl
  <=> c5_2(a180,a187) ),
    introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).

fof(f989,plain,
    ( sQ166_spl
    | ~ c5_2(a180,a187) ),
    inference(component_clause,[status(thm)],[f987]) ).

fof(f990,definition,
    ( sQ167_spl
  <=> c4_2(a180,a187) ),
    introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).

fof(f991,plain,
    ( ~ sQ167_spl
    | c4_2(a180,a187) ),
    inference(component_clause,[status(thm)],[f990]) ).

fof(f993,plain,
    ( ~ sQ72_spl
    | ~ sQ49_spl
    | ~ sQ16_spl
    | sQ167_spl
    | ~ sQ166_spl ),
    inference(split_clause,[status(thm)],[f986,f987,f990,f312,f445,f533]) ).

fof(f994,plain,
    ( ~ sQ50_spl
    | ~ sQ165_spl
    | c2_2(a165,a187) ),
    inference(resolution,[status(thm)],[f981,f450]) ).

fof(f995,plain,
    ( ~ sQ55_spl
    | ~ sQ146_spl
    | c1_1(a158)
    | ~ c3_1(a158) ),
    inference(resolution,[status(thm)],[f831,f470]) ).

fof(f996,plain,
    ( ~ sQ55_spl
    | ~ sQ146_spl
    | sQ130_spl
    | ~ sQ22_spl ),
    inference(split_clause,[status(thm)],[f995,f336,f757,f830,f469]) ).

fof(f997,plain,
    ( ~ sQ54_spl
    | ~ sQ157_spl
    | c1_1(a183)
    | ~ c3_1(a183) ),
    inference(resolution,[status(thm)],[f892,f466]) ).

fof(f998,plain,
    ( ~ sQ54_spl
    | ~ sQ157_spl
    | sQ123_spl
    | ~ sQ133_spl ),
    inference(split_clause,[status(thm)],[f997,f771,f729,f891,f465]) ).

fof(f999,plain,
    ( ~ sQ83_spl
    | ~ sQ167_spl
    | c1_1(a180)
    | c2_1(a180)
    | ~ ndr1_1(a180)
    | ~ c1_2(a180,a187) ),
    inference(resolution,[status(thm)],[f991,f575]) ).

fof(f1000,definition,
    ( sQ168_spl
  <=> c1_2(a180,a187) ),
    introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).

fof(f1002,plain,
    ( sQ168_spl
    | ~ c1_2(a180,a187) ),
    inference(component_clause,[status(thm)],[f1000]) ).

fof(f1003,definition,
    ( sQ169_spl
  <=> c1_1(a180) ),
    introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).

fof(f1004,plain,
    ( ~ sQ169_spl
    | c1_1(a180) ),
    inference(component_clause,[status(thm)],[f1003]) ).

fof(f1006,plain,
    ( ~ sQ83_spl
    | ~ sQ167_spl
    | sQ169_spl
    | sQ16_spl
    | ~ sQ73_spl
    | ~ sQ168_spl ),
    inference(split_clause,[status(thm)],[f999,f1000,f536,f312,f1003,f990,f574]) ).

fof(f1015,plain,
    ! [X0] :
      ( ~ sQ96_spl
      | ~ sQ46_spl
      | ~ sQ23_spl
      | c4_2(a158,X0)
      | c5_2(a158,X0)
      | c2_2(a158,X0)
      | ~ c2_1(a158) ),
    inference(resolution,[status(thm)],[f341,f841]) ).

fof(f1017,plain,
    ( ~ sQ71_spl
    | ~ sQ23_spl
    | ~ c3_1(a158)
    | ~ c4_1(a158) ),
    inference(resolution,[status(thm)],[f341,f530]) ).

fof(f1019,plain,
    ( ~ sQ96_spl
    | ~ sQ46_spl
    | ~ sQ23_spl
    | sQ143_spl
    | ~ sQ129_spl ),
    inference(split_clause,[status(thm)],[f1015,f754,f813,f340,f433,f624]) ).

fof(f1021,plain,
    ( ~ sQ71_spl
    | ~ sQ23_spl
    | ~ sQ22_spl
    | ~ sQ132_spl ),
    inference(split_clause,[status(thm)],[f1017,f764,f336,f340,f529]) ).

fof(f1023,plain,
    ( sQ73_spl
    | ~ sQ17_spl
    | ~ sQ45_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f538,f921]) ).

fof(f1024,plain,
    ( sQ73_spl
    | ~ sQ17_spl
    | ~ sQ45_spl ),
    inference(contradiction_clause,[status(thm)],[f1023]) ).

fof(f1025,plain,
    ( ~ sQ46_spl
    | ~ sQ14_spl
    | sQ13_spl ),
    inference(split_clause,[status(thm)],[f906,f300,f304,f433]) ).

fof(f1030,plain,
    ( ~ sQ45_spl
    | ~ sQ22_spl
    | ndr1_1(a158) ),
    inference(resolution,[status(thm)],[f337,f768]) ).

fof(f1033,plain,
    ( ~ sQ165_spl
    | ~ sQ46_spl
    | ndr1_1(a165) ),
    inference(resolution,[status(thm)],[f434,f981]) ).

fof(f1034,plain,
    ( ~ sQ153_spl
    | ~ sQ46_spl
    | ndr1_1(a167) ),
    inference(resolution,[status(thm)],[f434,f870]) ).

fof(f1035,plain,
    ( ~ sQ113_spl
    | ~ sQ46_spl
    | ndr1_1(a178) ),
    inference(resolution,[status(thm)],[f434,f692]) ).

fof(f1036,plain,
    ( ~ sQ153_spl
    | ~ sQ46_spl
    | sQ62_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f1034,f497]) ).

fof(f1037,plain,
    ( ~ sQ153_spl
    | ~ sQ46_spl
    | sQ62_spl ),
    inference(contradiction_clause,[status(thm)],[f1036]) ).

fof(f1039,plain,
    ( ~ sQ156_spl
    | ~ sQ48_spl
    | c4_2(a178,a186)
    | ~ ssSkP1(a178) ),
    inference(resolution,[status(thm)],[f442,f887]) ).

fof(f1040,plain,
    ( ~ sQ85_spl
    | ~ sQ48_spl
    | c4_2(a163,a186)
    | ~ ssSkP1(a163) ),
    inference(resolution,[status(thm)],[f442,f582]) ).

fof(f1042,definition,
    ( sQ170_spl
  <=> ssSkP1(a178) ),
    introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).

fof(f1044,plain,
    ( sQ170_spl
    | ~ ssSkP1(a178) ),
    inference(component_clause,[status(thm)],[f1042]) ).

fof(f1045,definition,
    ( sQ171_spl
  <=> c4_2(a178,a186) ),
    introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).

fof(f1046,plain,
    ( ~ sQ171_spl
    | c4_2(a178,a186) ),
    inference(component_clause,[status(thm)],[f1045]) ).

fof(f1047,plain,
    ( sQ171_spl
    | ~ c4_2(a178,a186) ),
    inference(component_clause,[status(thm)],[f1045]) ).

fof(f1048,plain,
    ( ~ sQ156_spl
    | ~ sQ48_spl
    | sQ171_spl
    | ~ sQ170_spl ),
    inference(split_clause,[status(thm)],[f1039,f1042,f1045,f441,f886]) ).

fof(f1049,definition,
    ( sQ172_spl
  <=> ssSkP1(a163) ),
    introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).

fof(f1051,plain,
    ( sQ172_spl
    | ~ ssSkP1(a163) ),
    inference(component_clause,[status(thm)],[f1049]) ).

fof(f1052,definition,
    ( sQ173_spl
  <=> c4_2(a163,a186) ),
    introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).

fof(f1053,plain,
    ( ~ sQ173_spl
    | c4_2(a163,a186) ),
    inference(component_clause,[status(thm)],[f1052]) ).

fof(f1054,plain,
    ( sQ173_spl
    | ~ c4_2(a163,a186) ),
    inference(component_clause,[status(thm)],[f1052]) ).

fof(f1055,plain,
    ( ~ sQ85_spl
    | ~ sQ48_spl
    | sQ173_spl
    | ~ sQ172_spl ),
    inference(split_clause,[status(thm)],[f1040,f1049,f1052,f441,f581]) ).

fof(f1056,plain,
    ( ~ sQ151_spl
    | ~ sQ102_spl
    | ~ c4_1(a165)
    | ~ c1_1(a165)
    | ~ ndr1_1(a165)
    | ~ c1_2(a165,a177)
    | ~ c3_2(a165,a177) ),
    inference(resolution,[status(thm)],[f648,f861]) ).

fof(f1057,definition,
    ( sQ174_spl
  <=> c4_1(a165) ),
    introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).

fof(f1059,plain,
    ( sQ174_spl
    | ~ c4_1(a165) ),
    inference(component_clause,[status(thm)],[f1057]) ).

fof(f1060,plain,
    ( ~ sQ151_spl
    | ~ sQ102_spl
    | ~ sQ174_spl
    | ~ sQ21_spl
    | ~ sQ20_spl
    | ~ sQ164_spl
    | ~ sQ150_spl ),
    inference(split_clause,[status(thm)],[f1056,f855,f977,f328,f332,f1057,f647,f860]) ).

fof(f1061,plain,
    ( ~ sQ165_spl
    | ~ sQ49_spl
    | c1_2(a165,a187) ),
    inference(resolution,[status(thm)],[f446,f981]) ).

fof(f1063,plain,
    ( ~ sQ102_spl
    | ~ sQ173_spl
    | ~ c4_1(a163)
    | ~ c1_1(a163)
    | ~ ndr1_1(a163)
    | ~ c1_2(a163,a186)
    | ~ c3_2(a163,a186) ),
    inference(resolution,[status(thm)],[f1053,f648]) ).

fof(f1064,plain,
    ( ~ sQ83_spl
    | ~ sQ173_spl
    | c1_1(a163)
    | c2_1(a163)
    | ~ ndr1_1(a163)
    | ~ c1_2(a163,a186) ),
    inference(resolution,[status(thm)],[f1053,f575]) ).

fof(f1065,definition,
    ( sQ175_spl
  <=> c3_2(a163,a186) ),
    introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).

fof(f1067,plain,
    ( sQ175_spl
    | ~ c3_2(a163,a186) ),
    inference(component_clause,[status(thm)],[f1065]) ).

fof(f1068,definition,
    ( sQ176_spl
  <=> c1_2(a163,a186) ),
    introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).

fof(f1070,plain,
    ( sQ176_spl
    | ~ c1_2(a163,a186) ),
    inference(component_clause,[status(thm)],[f1068]) ).

fof(f1071,definition,
    ( sQ177_spl
  <=> c4_1(a163) ),
    introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).

fof(f1073,plain,
    ( sQ177_spl
    | ~ c4_1(a163) ),
    inference(component_clause,[status(thm)],[f1071]) ).

fof(f1074,plain,
    ( ~ sQ102_spl
    | ~ sQ173_spl
    | ~ sQ177_spl
    | ~ sQ148_spl
    | ~ sQ84_spl
    | ~ sQ176_spl
    | ~ sQ175_spl ),
    inference(split_clause,[status(thm)],[f1063,f1065,f1068,f577,f847,f1071,f1052,f647]) ).

fof(f1075,plain,
    ( ~ sQ83_spl
    | ~ sQ173_spl
    | sQ148_spl
    | sQ89_spl
    | ~ sQ84_spl
    | ~ sQ176_spl ),
    inference(split_clause,[status(thm)],[f1064,f1068,f577,f596,f847,f1052,f574]) ).

fof(f1076,plain,
    ( sQ84_spl
    | ~ sQ85_spl
    | ~ sQ45_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f579,f922]) ).

fof(f1077,plain,
    ( sQ84_spl
    | ~ sQ85_spl
    | ~ sQ45_spl ),
    inference(contradiction_clause,[status(thm)],[f1076]) ).

fof(f1078,plain,
    ( sQ172_spl
    | ndr1_1(a163) ),
    inference(resolution,[status(thm)],[f1051,f111]) ).

fof(f1079,plain,
    ( ~ sQ112_spl
    | ~ sQ49_spl
    | ~ sQ113_spl
    | c3_2(a178,a187) ),
    inference(resolution,[status(thm)],[f916,f689]) ).

fof(f1080,plain,
    ( ~ sQ102_spl
    | ~ sQ171_spl
    | ~ c4_1(a178)
    | ~ c1_1(a178)
    | ~ ndr1_1(a178)
    | ~ c1_2(a178,a186)
    | ~ c3_2(a178,a186) ),
    inference(resolution,[status(thm)],[f1046,f648]) ).

fof(f1081,plain,
    ( ~ sQ83_spl
    | ~ sQ171_spl
    | c1_1(a178)
    | c2_1(a178)
    | ~ ndr1_1(a178)
    | ~ c1_2(a178,a186) ),
    inference(resolution,[status(thm)],[f1046,f575]) ).

fof(f1082,definition,
    ( sQ178_spl
  <=> c3_2(a178,a186) ),
    introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).

fof(f1084,plain,
    ( sQ178_spl
    | ~ c3_2(a178,a186) ),
    inference(component_clause,[status(thm)],[f1082]) ).

fof(f1085,definition,
    ( sQ179_spl
  <=> c1_2(a178,a186) ),
    introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).

fof(f1087,plain,
    ( sQ179_spl
    | ~ c1_2(a178,a186) ),
    inference(component_clause,[status(thm)],[f1085]) ).

fof(f1088,plain,
    ( ~ sQ102_spl
    | ~ sQ171_spl
    | ~ sQ40_spl
    | ~ sQ114_spl
    | ~ sQ39_spl
    | ~ sQ179_spl
    | ~ sQ178_spl ),
    inference(split_clause,[status(thm)],[f1080,f1082,f1085,f405,f694,f409,f1045,f647]) ).

fof(f1089,plain,
    ( ~ sQ83_spl
    | ~ sQ171_spl
    | sQ114_spl
    | sQ113_spl
    | ~ sQ39_spl
    | ~ sQ179_spl ),
    inference(split_clause,[status(thm)],[f1081,f1085,f405,f691,f694,f1045,f574]) ).

fof(f1090,plain,
    ( sQ170_spl
    | ndr1_1(a178) ),
    inference(resolution,[status(thm)],[f1044,f111]) ).

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
    | sQ12_spl
    | sQ13_spl
    | ~ sQ17_spl
    | sQ20_spl
    | sQ22_spl
    | sQ23_spl
    | ~ sQ24_spl
    | ~ sQ25_spl
    | sQ26_spl
    | sQ28_spl
    | sQ30_spl
    | ~ sQ31_spl
    | sQ34_spl
    | ~ sQ35_spl
    | sQ36_spl
    | ~ sQ38_spl
    | sQ39_spl
    | ~ sQ40_spl
    | ~ sQ41_spl
    | ~ sQ42_spl
    | ~ sQ44_spl
    | sQ45_spl
    | sQ46_spl
    | sQ47_spl
    | sQ48_spl
    | sQ49_spl
    | sQ50_spl
    | ~ sQ51_spl
    | sQ52_spl
    | sQ53_spl
    | sQ54_spl
    | sQ55_spl
    | sQ56_spl
    | ~ sQ57_spl
    | sQ58_spl
    | sQ61_spl
    | sQ62_spl
    | sQ63_spl
    | ~ sQ64_spl
    | sQ65_spl
    | sQ67_spl
    | sQ68_spl
    | sQ70_spl
    | ~ sQ71_spl
    | sQ73_spl
    | sQ74_spl
    | sQ75_spl
    | ~ sQ76_spl
    | sQ77_spl
    | sQ83_spl
    | sQ84_spl
    | sQ87_spl
    | ~ sQ90_spl
    | ~ sQ91_spl
    | ~ sQ92_spl
    | ~ sQ93_spl
    | ~ sQ94_spl
    | ~ sQ95_spl
    | sQ96_spl
    | ~ sQ97_spl
    | sQ98_spl
    | sQ99_spl
    | sQ100_spl
    | sQ101_spl
    | sQ102_spl
    | sQ106_spl
    | sQ107_spl
    | ~ sQ108_spl
    | sQ109_spl
    | sQ110_spl
    | sQ111_spl
    | sQ112_spl
    | sQ113_spl
    | sQ114_spl
    | sQ115_spl
    | sQ116_spl
    | ~ sQ117_spl
    | sQ120_spl
    | sQ123_spl
    | ~ sQ124_spl
    | sQ126_spl
    | sQ127_spl
    | sQ128_spl
    | ~ sQ129_spl
    | sQ130_spl
    | sQ131_spl
    | sQ132_spl
    | ~ sQ133_spl
    | sQ134_spl
    | sQ135_spl
    | sQ136_spl
    | sQ138_spl
    | ~ sQ139_spl
    | sQ142_spl
    | sQ144_spl
    | sQ147_spl
    | sQ148_spl
    | ~ sQ149_spl
    | ~ sQ150_spl
    | ~ sQ152_spl
    | sQ154_spl
    | sQ155_spl
    | ~ sQ158_spl
    | sQ159_spl
    | sQ160_spl
    | ~ sQ161_spl
    | ~ sQ162_spl
    | sQ163_spl
    | ~ sQ164_spl
    | sQ165_spl
    | ~ sQ166_spl
    | ~ sQ168_spl
    | sQ169_spl
    | ~ sQ170_spl
    | ~ sQ171_spl
    | ~ sQ172_spl
    | ~ sQ173_spl
    | ~ sQ174_spl
    | ~ sQ175_spl
    | ~ sQ176_spl
    | ~ sQ177_spl
    | ~ sQ178_spl
    | ~ sQ179_spl ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN524-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n005.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 11:05:33 UTC 2026
% 0.14/0.36  % CPUTime  : 
% 0.14/0.37  % Drodi V4.1.1
% 0.14/0.39  % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.14/0.39  % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/0.42  % Elapsed time: 0.052179 seconds
% 0.14/0.42  % CPU time: 0.147927 seconds
% 0.14/0.42  % Total memory used: 12.556 MB
% 0.14/0.42  % Net memory used: 12.494 MB
%------------------------------------------------------------------------------