%------------------------------------------------------------------------------
% 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 : n016.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 : CounterSatisfiable 0.13s 0.46s
% Output : Saturation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( c5_0
| ~ c1_0
| ! [X25] :
( ndr1_0
=> ( ~ c2_1(X25)
| ( c2_2(X25,a187)
& ~ c5_2(X25,a187)
& c1_2(X25,a187)
& ndr1_1(X25) ) ) ) )
& ( ! [X24] :
( ndr1_0
=> ( ( c4_2(X24,a186)
& ~ c1_2(X24,a186)
& ndr1_1(X24) )
| ~ c3_1(X24)
| ( ~ c3_2(X24,a185)
& ~ c2_2(X24,a185)
& ndr1_1(X24) ) ) )
| c3_0 )
& ( ( ! [X23] :
( ndr1_1(a183)
=> ( c2_2(a183,X23)
| c3_2(a183,X23) ) )
& c2_1(a183)
& ~ c5_2(a183,a184)
& c1_2(a183,a184)
& ndr1_1(a183)
& ndr1_0 )
| c5_0
| c1_0 )
& ( ! [X21] :
( ndr1_0
=> ( ! [X22] :
( ndr1_1(X21)
=> ( ~ c3_2(X21,X22)
| c1_2(X21,X22)
| c2_2(X21,X22) ) )
| ( c5_2(X21,a182)
& ~ c2_2(X21,a182)
& ~ c3_2(X21,a182)
& ndr1_1(X21) )
| c1_1(X21) ) )
| ! [X19] :
( ndr1_0
=> ( ! [X20] :
( ndr1_1(X19)
=> ( ~ c1_2(X19,X20)
| ~ c3_2(X19,X20)
| ~ c4_2(X19,X20) ) )
| ~ c4_1(X19)
| ~ c1_1(X19) ) )
| c3_0 )
& ( c2_0
| c4_0
| ( c1_1(a181)
& ! [X18] :
( ndr1_1(a181)
=> ( c3_2(a181,X18)
| c5_2(a181,X18)
| ~ c1_2(a181,X18) ) )
& ~ c4_1(a181)
& ndr1_0 ) )
& ( ~ c3_0
| ( c3_1(a180)
& ! [X17] :
( ndr1_1(a180)
=> ( ~ c1_2(a180,X17)
| c4_2(a180,X17)
| ~ c5_2(a180,X17) ) )
& c2_1(a180)
& ndr1_0 ) )
& ( ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| ~ c5_1(X16)
| ~ c4_1(X16) ) )
| ~ c3_0
| ~ c2_0 )
& ( ~ c3_0
| ( ! [X15] :
( ndr1_1(a178)
=> ( c3_2(a178,X15)
| c4_2(a178,X15) ) )
& c5_2(a178,a179)
& ~ c4_2(a178,a179)
& ndr1_1(a178)
& c4_1(a178)
& ndr1_0 )
| ~ c2_0 )
& ( ! [X14] :
( ndr1_0
=> ( ~ c1_1(X14)
| ( c3_2(X14,a177)
& c4_2(X14,a177)
& c2_2(X14,a177)
& ndr1_1(X14) )
| ( c2_2(X14,a176)
& ~ c4_2(X14,a176)
& ndr1_1(X14) ) ) )
| c3_0
| ! [X13] :
( ndr1_0
=> ( ~ c2_1(X13)
| ~ c5_1(X13)
| c4_1(X13) ) ) )
& ( ( ! [X12] :
( ndr1_1(a175)
=> ( c4_2(a175,X12)
| ~ c3_2(a175,X12)
| c2_2(a175,X12) ) )
& c2_1(a175)
& c1_1(a175)
& ndr1_0 )
| ! [X11] :
( ndr1_0
=> ( ( ~ c1_2(X11,a174)
& ~ c5_2(X11,a174)
& ~ c2_2(X11,a174)
& ndr1_1(X11) )
| ~ c3_1(X11)
| c1_1(X11) ) )
| ~ c4_0 )
& ( c2_0
| ~ c4_0
| c3_0 )
& ( ! [X9] :
( ndr1_0
=> ( ~ c5_1(X9)
| ~ c2_1(X9)
| ! [X10] :
( ndr1_1(X9)
=> ( c4_2(X9,X10)
| c5_2(X9,X10)
| c2_2(X9,X10) ) ) ) )
| ! [X8] :
( ndr1_0
=> ( ~ c3_2(X8,a173)
& ~ c5_2(X8,a173)
& ndr1_1(X8) ) )
| ~ c5_0 )
& ( ( ! [X7] :
( ndr1_1(a171)
=> ( ~ c5_2(a171,X7)
| ~ c4_2(a171,X7) ) )
& c3_2(a171,a172)
& ~ c1_2(a171,a172)
& ndr1_1(a171)
& ~ c4_1(a171)
& ndr1_0 )
| ( ~ c3_1(a170)
& ~ c1_1(a170)
& ndr1_0 )
| ( ! [X6] :
( ndr1_1(a169)
=> ( c5_2(a169,X6)
| c3_2(a169,X6)
| c2_2(a169,X6) ) )
& c3_1(a169)
& ndr1_0 ) )
& ( ( c4_2(a167,a168)
& c3_2(a167,a168)
& c2_2(a167,a168)
& ndr1_1(a167)
& ! [X5] :
( ndr1_1(a167)
=> ( ~ c1_2(a167,X5)
| ~ c3_2(a167,X5) ) )
& ! [X4] :
( ndr1_1(a167)
=> ( c4_2(a167,X4)
| ~ c1_2(a167,X4)
| ~ c2_2(a167,X4) ) )
& ndr1_0 )
| ! [X3] :
( ndr1_0
=> ( c1_1(X3)
| ~ c2_1(X3)
| ~ c5_1(X3) ) )
| ~ c2_0 )
& ( ( ! [X2] :
( ndr1_1(a165)
=> ( c4_2(a165,X2)
| ~ c3_2(a165,X2)
| c5_2(a165,X2) ) )
& ~ c5_2(a165,a166)
& c3_2(a165,a166)
& c1_2(a165,a166)
& ndr1_1(a165)
& c1_1(a165)
& ndr1_0 )
| ~ c5_0 )
& ( ( ~ c2_1(a163)
& ~ c3_2(a163,a164)
& c5_2(a163,a164)
& ~ c1_2(a163,a164)
& ndr1_1(a163)
& c3_1(a163)
& ndr1_0 )
| ! [Z] :
( ndr1_0
=> ( c1_1(Z)
| ! [X1] :
( ndr1_1(Z)
=> ( ~ c1_2(Z,X1)
| ~ c4_2(Z,X1) ) )
| c2_1(Z) ) )
| ( c4_1(a161)
& c1_2(a161,a162)
& c5_2(a161,a162)
& c3_2(a161,a162)
& ndr1_1(a161)
& ~ c3_1(a161)
& ndr1_0 ) )
& ( ! [X] :
( ndr1_0
=> ( ! [Y] :
( ndr1_1(X)
=> ( c2_2(X,Y)
| ~ c5_2(X,Y) ) )
| c3_1(X)
| c1_1(X) ) )
| ( ~ c5_2(a159,a160)
& ~ c3_2(a159,a160)
& ndr1_1(a159)
& ~ c3_1(a159)
& ~ c2_1(a159)
& ndr1_0 )
| ~ c1_0 )
& ( ( ! [W] :
( ndr1_1(a158)
=> ( c4_2(a158,W)
| c5_2(a158,W)
| c1_2(a158,W) ) )
& c5_1(a158)
& c3_1(a158)
& ndr1_0 )
| c1_0
| ! [U] :
( ndr1_0
=> ( ! [V] :
( ndr1_1(U)
=> ( c5_2(U,V)
| c1_2(U,V) ) )
| ~ c5_1(U)
| ( c2_2(U,a157)
& ~ c3_2(U,a157)
& ndr1_1(U) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ( ( c5_0
| ~ c1_0
| ! [X25] :
( ndr1_0
=> ( ~ c2_1(X25)
| ( c2_2(X25,a187)
& ~ c5_2(X25,a187)
& c1_2(X25,a187)
& ndr1_1(X25) ) ) ) )
& ( ! [X24] :
( ndr1_0
=> ( ( c4_2(X24,a186)
& ~ c1_2(X24,a186)
& ndr1_1(X24) )
| ~ c3_1(X24)
| ( ~ c3_2(X24,a185)
& ~ c2_2(X24,a185)
& ndr1_1(X24) ) ) )
| c3_0 )
& ( ( ! [X23] :
( ndr1_1(a183)
=> ( c2_2(a183,X23)
| c3_2(a183,X23) ) )
& c2_1(a183)
& ~ c5_2(a183,a184)
& c1_2(a183,a184)
& ndr1_1(a183)
& ndr1_0 )
| c5_0
| c1_0 )
& ( ! [X21] :
( ndr1_0
=> ( ! [X22] :
( ndr1_1(X21)
=> ( ~ c3_2(X21,X22)
| c1_2(X21,X22)
| c2_2(X21,X22) ) )
| ( c5_2(X21,a182)
& ~ c2_2(X21,a182)
& ~ c3_2(X21,a182)
& ndr1_1(X21) )
| c1_1(X21) ) )
| ! [X19] :
( ndr1_0
=> ( ! [X20] :
( ndr1_1(X19)
=> ( ~ c1_2(X19,X20)
| ~ c3_2(X19,X20)
| ~ c4_2(X19,X20) ) )
| ~ c4_1(X19)
| ~ c1_1(X19) ) )
| c3_0 )
& ( c2_0
| c4_0
| ( c1_1(a181)
& ! [X18] :
( ndr1_1(a181)
=> ( c3_2(a181,X18)
| c5_2(a181,X18)
| ~ c1_2(a181,X18) ) )
& ~ c4_1(a181)
& ndr1_0 ) )
& ( ~ c3_0
| ( c3_1(a180)
& ! [X17] :
( ndr1_1(a180)
=> ( ~ c1_2(a180,X17)
| c4_2(a180,X17)
| ~ c5_2(a180,X17) ) )
& c2_1(a180)
& ndr1_0 ) )
& ( ! [X16] :
( ndr1_0
=> ( ~ c3_1(X16)
| ~ c5_1(X16)
| ~ c4_1(X16) ) )
| ~ c3_0
| ~ c2_0 )
& ( ~ c3_0
| ( ! [X15] :
( ndr1_1(a178)
=> ( c3_2(a178,X15)
| c4_2(a178,X15) ) )
& c5_2(a178,a179)
& ~ c4_2(a178,a179)
& ndr1_1(a178)
& c4_1(a178)
& ndr1_0 )
| ~ c2_0 )
& ( ! [X14] :
( ndr1_0
=> ( ~ c1_1(X14)
| ( c3_2(X14,a177)
& c4_2(X14,a177)
& c2_2(X14,a177)
& ndr1_1(X14) )
| ( c2_2(X14,a176)
& ~ c4_2(X14,a176)
& ndr1_1(X14) ) ) )
| c3_0
| ! [X13] :
( ndr1_0
=> ( ~ c2_1(X13)
| ~ c5_1(X13)
| c4_1(X13) ) ) )
& ( ( ! [X12] :
( ndr1_1(a175)
=> ( c4_2(a175,X12)
| ~ c3_2(a175,X12)
| c2_2(a175,X12) ) )
& c2_1(a175)
& c1_1(a175)
& ndr1_0 )
| ! [X11] :
( ndr1_0
=> ( ( ~ c1_2(X11,a174)
& ~ c5_2(X11,a174)
& ~ c2_2(X11,a174)
& ndr1_1(X11) )
| ~ c3_1(X11)
| c1_1(X11) ) )
| ~ c4_0 )
& ( c2_0
| ~ c4_0
| c3_0 )
& ( ! [X9] :
( ndr1_0
=> ( ~ c5_1(X9)
| ~ c2_1(X9)
| ! [X10] :
( ndr1_1(X9)
=> ( c4_2(X9,X10)
| c5_2(X9,X10)
| c2_2(X9,X10) ) ) ) )
| ! [X8] :
( ndr1_0
=> ( ~ c3_2(X8,a173)
& ~ c5_2(X8,a173)
& ndr1_1(X8) ) )
| ~ c5_0 )
& ( ( ! [X7] :
( ndr1_1(a171)
=> ( ~ c5_2(a171,X7)
| ~ c4_2(a171,X7) ) )
& c3_2(a171,a172)
& ~ c1_2(a171,a172)
& ndr1_1(a171)
& ~ c4_1(a171)
& ndr1_0 )
| ( ~ c3_1(a170)
& ~ c1_1(a170)
& ndr1_0 )
| ( ! [X6] :
( ndr1_1(a169)
=> ( c5_2(a169,X6)
| c3_2(a169,X6)
| c2_2(a169,X6) ) )
& c3_1(a169)
& ndr1_0 ) )
& ( ( c4_2(a167,a168)
& c3_2(a167,a168)
& c2_2(a167,a168)
& ndr1_1(a167)
& ! [X5] :
( ndr1_1(a167)
=> ( ~ c1_2(a167,X5)
| ~ c3_2(a167,X5) ) )
& ! [X4] :
( ndr1_1(a167)
=> ( c4_2(a167,X4)
| ~ c1_2(a167,X4)
| ~ c2_2(a167,X4) ) )
& ndr1_0 )
| ! [X3] :
( ndr1_0
=> ( c1_1(X3)
| ~ c2_1(X3)
| ~ c5_1(X3) ) )
| ~ c2_0 )
& ( ( ! [X2] :
( ndr1_1(a165)
=> ( c4_2(a165,X2)
| ~ c3_2(a165,X2)
| c5_2(a165,X2) ) )
& ~ c5_2(a165,a166)
& c3_2(a165,a166)
& c1_2(a165,a166)
& ndr1_1(a165)
& c1_1(a165)
& ndr1_0 )
| ~ c5_0 )
& ( ( ~ c2_1(a163)
& ~ c3_2(a163,a164)
& c5_2(a163,a164)
& ~ c1_2(a163,a164)
& ndr1_1(a163)
& c3_1(a163)
& ndr1_0 )
| ! [Z] :
( ndr1_0
=> ( c1_1(Z)
| ! [X1] :
( ndr1_1(Z)
=> ( ~ c1_2(Z,X1)
| ~ c4_2(Z,X1) ) )
| c2_1(Z) ) )
| ( c4_1(a161)
& c1_2(a161,a162)
& c5_2(a161,a162)
& c3_2(a161,a162)
& ndr1_1(a161)
& ~ c3_1(a161)
& ndr1_0 ) )
& ( ! [X] :
( ndr1_0
=> ( ! [Y] :
( ndr1_1(X)
=> ( c2_2(X,Y)
| ~ c5_2(X,Y) ) )
| c3_1(X)
| c1_1(X) ) )
| ( ~ c5_2(a159,a160)
& ~ c3_2(a159,a160)
& ndr1_1(a159)
& ~ c3_1(a159)
& ~ c2_1(a159)
& ndr1_0 )
| ~ c1_0 )
& ( ( ! [W] :
( ndr1_1(a158)
=> ( c4_2(a158,W)
| c5_2(a158,W)
| c1_2(a158,W) ) )
& c5_1(a158)
& c3_1(a158)
& ndr1_0 )
| c1_0
| ! [U] :
( ndr1_0
=> ( ! [V] :
( ndr1_1(U)
=> ( c5_2(U,V)
| c1_2(U,V) ) )
| ~ c5_1(U)
| ( c2_2(U,a157)
& ~ c3_2(U,a157)
& ndr1_1(U) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( c5_0
| ~ c1_0
| ! [X25] :
( ~ c2_1(X25)
| ( c2_2(X25,a187)
& ~ c5_2(X25,a187)
& c1_2(X25,a187)
& ndr1_1(X25) )
| ~ ndr1_0 ) )
& ( ! [X24] :
( ( c4_2(X24,a186)
& ~ c1_2(X24,a186)
& ndr1_1(X24) )
| ~ c3_1(X24)
| ( ~ c3_2(X24,a185)
& ~ c2_2(X24,a185)
& ndr1_1(X24) )
| ~ ndr1_0 )
| c3_0 )
& ( ( ! [X23] :
( c2_2(a183,X23)
| c3_2(a183,X23)
| ~ ndr1_1(a183) )
& c2_1(a183)
& ~ c5_2(a183,a184)
& c1_2(a183,a184)
& ndr1_1(a183)
& ndr1_0 )
| c5_0
| c1_0 )
& ( ! [X21] :
( ! [X22] :
( ~ c3_2(X21,X22)
| c1_2(X21,X22)
| c2_2(X21,X22)
| ~ ndr1_1(X21) )
| ( c5_2(X21,a182)
& ~ c2_2(X21,a182)
& ~ c3_2(X21,a182)
& ndr1_1(X21) )
| c1_1(X21)
| ~ ndr1_0 )
| ! [X19] :
( ! [X20] :
( ~ c1_2(X19,X20)
| ~ c3_2(X19,X20)
| ~ c4_2(X19,X20)
| ~ ndr1_1(X19) )
| ~ c4_1(X19)
| ~ c1_1(X19)
| ~ ndr1_0 )
| c3_0 )
& ( c2_0
| c4_0
| ( c1_1(a181)
& ! [X18] :
( c3_2(a181,X18)
| c5_2(a181,X18)
| ~ c1_2(a181,X18)
| ~ ndr1_1(a181) )
& ~ c4_1(a181)
& ndr1_0 ) )
& ( ~ c3_0
| ( c3_1(a180)
& ! [X17] :
( ~ c1_2(a180,X17)
| c4_2(a180,X17)
| ~ c5_2(a180,X17)
| ~ ndr1_1(a180) )
& c2_1(a180)
& ndr1_0 ) )
& ( ! [X16] :
( ~ c3_1(X16)
| ~ c5_1(X16)
| ~ c4_1(X16)
| ~ ndr1_0 )
| ~ c3_0
| ~ c2_0 )
& ( ~ c3_0
| ( ! [X15] :
( c3_2(a178,X15)
| c4_2(a178,X15)
| ~ ndr1_1(a178) )
& c5_2(a178,a179)
& ~ c4_2(a178,a179)
& ndr1_1(a178)
& c4_1(a178)
& ndr1_0 )
| ~ c2_0 )
& ( ! [X14] :
( ~ c1_1(X14)
| ( c3_2(X14,a177)
& c4_2(X14,a177)
& c2_2(X14,a177)
& ndr1_1(X14) )
| ( c2_2(X14,a176)
& ~ c4_2(X14,a176)
& ndr1_1(X14) )
| ~ ndr1_0 )
| c3_0
| ! [X13] :
( ~ c2_1(X13)
| ~ c5_1(X13)
| c4_1(X13)
| ~ ndr1_0 ) )
& ( ( ! [X12] :
( c4_2(a175,X12)
| ~ c3_2(a175,X12)
| c2_2(a175,X12)
| ~ ndr1_1(a175) )
& c2_1(a175)
& c1_1(a175)
& ndr1_0 )
| ! [X11] :
( ( ~ c1_2(X11,a174)
& ~ c5_2(X11,a174)
& ~ c2_2(X11,a174)
& ndr1_1(X11) )
| ~ c3_1(X11)
| c1_1(X11)
| ~ ndr1_0 )
| ~ c4_0 )
& ( c2_0
| ~ c4_0
| c3_0 )
& ( ! [X9] :
( ~ c5_1(X9)
| ~ c2_1(X9)
| ! [X10] :
( c4_2(X9,X10)
| c5_2(X9,X10)
| c2_2(X9,X10)
| ~ ndr1_1(X9) )
| ~ ndr1_0 )
| ! [X8] :
( ( ~ c3_2(X8,a173)
& ~ c5_2(X8,a173)
& ndr1_1(X8) )
| ~ ndr1_0 )
| ~ c5_0 )
& ( ( ! [X7] :
( ~ c5_2(a171,X7)
| ~ c4_2(a171,X7)
| ~ ndr1_1(a171) )
& c3_2(a171,a172)
& ~ c1_2(a171,a172)
& ndr1_1(a171)
& ~ c4_1(a171)
& ndr1_0 )
| ( ~ c3_1(a170)
& ~ c1_1(a170)
& ndr1_0 )
| ( ! [X6] :
( c5_2(a169,X6)
| c3_2(a169,X6)
| c2_2(a169,X6)
| ~ ndr1_1(a169) )
& c3_1(a169)
& ndr1_0 ) )
& ( ( c4_2(a167,a168)
& c3_2(a167,a168)
& c2_2(a167,a168)
& ndr1_1(a167)
& ! [X5] :
( ~ c1_2(a167,X5)
| ~ c3_2(a167,X5)
| ~ ndr1_1(a167) )
& ! [X4] :
( c4_2(a167,X4)
| ~ c1_2(a167,X4)
| ~ c2_2(a167,X4)
| ~ ndr1_1(a167) )
& ndr1_0 )
| ! [X3] :
( c1_1(X3)
| ~ c2_1(X3)
| ~ c5_1(X3)
| ~ ndr1_0 )
| ~ c2_0 )
& ( ( ! [X2] :
( c4_2(a165,X2)
| ~ c3_2(a165,X2)
| c5_2(a165,X2)
| ~ ndr1_1(a165) )
& ~ c5_2(a165,a166)
& c3_2(a165,a166)
& c1_2(a165,a166)
& ndr1_1(a165)
& c1_1(a165)
& ndr1_0 )
| ~ c5_0 )
& ( ( ~ c2_1(a163)
& ~ c3_2(a163,a164)
& c5_2(a163,a164)
& ~ c1_2(a163,a164)
& ndr1_1(a163)
& c3_1(a163)
& ndr1_0 )
| ! [Z] :
( c1_1(Z)
| ! [X1] :
( ~ c1_2(Z,X1)
| ~ c4_2(Z,X1)
| ~ ndr1_1(Z) )
| c2_1(Z)
| ~ ndr1_0 )
| ( c4_1(a161)
& c1_2(a161,a162)
& c5_2(a161,a162)
& c3_2(a161,a162)
& ndr1_1(a161)
& ~ c3_1(a161)
& ndr1_0 ) )
& ( ! [X] :
( ! [Y] :
( c2_2(X,Y)
| ~ c5_2(X,Y)
| ~ ndr1_1(X) )
| c3_1(X)
| c1_1(X)
| ~ ndr1_0 )
| ( ~ c5_2(a159,a160)
& ~ c3_2(a159,a160)
& ndr1_1(a159)
& ~ c3_1(a159)
& ~ c2_1(a159)
& ndr1_0 )
| ~ c1_0 )
& ( ( ! [W] :
( c4_2(a158,W)
| c5_2(a158,W)
| c1_2(a158,W)
| ~ ndr1_1(a158) )
& c5_1(a158)
& c3_1(a158)
& ndr1_0 )
| c1_0
| ! [U] :
( ! [V] :
( c5_2(U,V)
| c1_2(U,V)
| ~ ndr1_1(U) )
| ~ c5_1(U)
| ( c2_2(U,a157)
& ~ c3_2(U,a157)
& ndr1_1(U) )
| ~ ndr1_0 ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
! [U] :
( sP0_prd(U)
<=> ( ! [V] :
( c5_2(U,V)
| c1_2(U,V)
| ~ ndr1_1(U) )
| ~ c5_1(U)
| ( c2_2(U,a157)
& ~ c3_2(U,a157)
& ndr1_1(U) ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,definition,
( sP1_prd
<=> ( ! [Z] :
( c1_1(Z)
| ! [X1] :
( ~ c1_2(Z,X1)
| ~ c4_2(Z,X1)
| ~ ndr1_1(Z) )
| c2_1(Z)
| ~ ndr1_0 )
| ( c4_1(a161)
& c1_2(a161,a162)
& c5_2(a161,a162)
& c3_2(a161,a162)
& ndr1_1(a161)
& ~ c3_1(a161)
& ndr1_0 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f6,definition,
( sP2_prd
<=> ( ( ~ c3_1(a170)
& ~ c1_1(a170)
& ndr1_0 )
| ( ! [X6] :
( c5_2(a169,X6)
| c3_2(a169,X6)
| c2_2(a169,X6)
| ~ ndr1_1(a169) )
& c3_1(a169)
& ndr1_0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f7,definition,
! [X11] :
( sP3_prd(X11)
<=> ( ~ c1_2(X11,a174)
& ~ c5_2(X11,a174)
& ~ c2_2(X11,a174)
& ndr1_1(X11) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f8,definition,
! [X14] :
( sP4_prd(X14)
<=> ( c2_2(X14,a176)
& ~ c4_2(X14,a176)
& ndr1_1(X14) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f9,definition,
! [X24] :
( sP5_prd(X24)
<=> ( ~ c3_1(X24)
| ( ~ c3_2(X24,a185)
& ~ c2_2(X24,a185)
& ndr1_1(X24) ) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f10,plain,
( ( c5_0
| ~ c1_0
| ! [X25] :
( ~ c2_1(X25)
| ( c2_2(X25,a187)
& ~ c5_2(X25,a187)
& c1_2(X25,a187)
& ndr1_1(X25) )
| ~ ndr1_0 ) )
& ( ! [X24] :
( ( c4_2(X24,a186)
& ~ c1_2(X24,a186)
& ndr1_1(X24) )
| sP5_prd(X24)
| ~ ndr1_0 )
| c3_0 )
& ( ( ! [X23] :
( c2_2(a183,X23)
| c3_2(a183,X23)
| ~ ndr1_1(a183) )
& c2_1(a183)
& ~ c5_2(a183,a184)
& c1_2(a183,a184)
& ndr1_1(a183)
& ndr1_0 )
| c5_0
| c1_0 )
& ( ! [X21] :
( ! [X22] :
( ~ c3_2(X21,X22)
| c1_2(X21,X22)
| c2_2(X21,X22)
| ~ ndr1_1(X21) )
| ( c5_2(X21,a182)
& ~ c2_2(X21,a182)
& ~ c3_2(X21,a182)
& ndr1_1(X21) )
| c1_1(X21)
| ~ ndr1_0 )
| ! [X19] :
( ! [X20] :
( ~ c1_2(X19,X20)
| ~ c3_2(X19,X20)
| ~ c4_2(X19,X20)
| ~ ndr1_1(X19) )
| ~ c4_1(X19)
| ~ c1_1(X19)
| ~ ndr1_0 )
| c3_0 )
& ( c2_0
| c4_0
| ( c1_1(a181)
& ! [X18] :
( c3_2(a181,X18)
| c5_2(a181,X18)
| ~ c1_2(a181,X18)
| ~ ndr1_1(a181) )
& ~ c4_1(a181)
& ndr1_0 ) )
& ( ~ c3_0
| ( c3_1(a180)
& ! [X17] :
( ~ c1_2(a180,X17)
| c4_2(a180,X17)
| ~ c5_2(a180,X17)
| ~ ndr1_1(a180) )
& c2_1(a180)
& ndr1_0 ) )
& ( ! [X16] :
( ~ c3_1(X16)
| ~ c5_1(X16)
| ~ c4_1(X16)
| ~ ndr1_0 )
| ~ c3_0
| ~ c2_0 )
& ( ~ c3_0
| ( ! [X15] :
( c3_2(a178,X15)
| c4_2(a178,X15)
| ~ ndr1_1(a178) )
& c5_2(a178,a179)
& ~ c4_2(a178,a179)
& ndr1_1(a178)
& c4_1(a178)
& ndr1_0 )
| ~ c2_0 )
& ( ! [X14] :
( ~ c1_1(X14)
| ( c3_2(X14,a177)
& c4_2(X14,a177)
& c2_2(X14,a177)
& ndr1_1(X14) )
| sP4_prd(X14)
| ~ ndr1_0 )
| c3_0
| ! [X13] :
( ~ c2_1(X13)
| ~ c5_1(X13)
| c4_1(X13)
| ~ ndr1_0 ) )
& ( ( ! [X12] :
( c4_2(a175,X12)
| ~ c3_2(a175,X12)
| c2_2(a175,X12)
| ~ ndr1_1(a175) )
& c2_1(a175)
& c1_1(a175)
& ndr1_0 )
| ! [X11] :
( sP3_prd(X11)
| ~ c3_1(X11)
| c1_1(X11)
| ~ ndr1_0 )
| ~ c4_0 )
& ( c2_0
| ~ c4_0
| c3_0 )
& ( ! [X9] :
( ~ c5_1(X9)
| ~ c2_1(X9)
| ! [X10] :
( c4_2(X9,X10)
| c5_2(X9,X10)
| c2_2(X9,X10)
| ~ ndr1_1(X9) )
| ~ ndr1_0 )
| ! [X8] :
( ( ~ c3_2(X8,a173)
& ~ c5_2(X8,a173)
& ndr1_1(X8) )
| ~ ndr1_0 )
| ~ c5_0 )
& ( ( ! [X7] :
( ~ c5_2(a171,X7)
| ~ c4_2(a171,X7)
| ~ ndr1_1(a171) )
& c3_2(a171,a172)
& ~ c1_2(a171,a172)
& ndr1_1(a171)
& ~ c4_1(a171)
& ndr1_0 )
| sP2_prd )
& ( ( c4_2(a167,a168)
& c3_2(a167,a168)
& c2_2(a167,a168)
& ndr1_1(a167)
& ! [X5] :
( ~ c1_2(a167,X5)
| ~ c3_2(a167,X5)
| ~ ndr1_1(a167) )
& ! [X4] :
( c4_2(a167,X4)
| ~ c1_2(a167,X4)
| ~ c2_2(a167,X4)
| ~ ndr1_1(a167) )
& ndr1_0 )
| ! [X3] :
( c1_1(X3)
| ~ c2_1(X3)
| ~ c5_1(X3)
| ~ ndr1_0 )
| ~ c2_0 )
& ( ( ! [X2] :
( c4_2(a165,X2)
| ~ c3_2(a165,X2)
| c5_2(a165,X2)
| ~ ndr1_1(a165) )
& ~ c5_2(a165,a166)
& c3_2(a165,a166)
& c1_2(a165,a166)
& ndr1_1(a165)
& c1_1(a165)
& ndr1_0 )
| ~ c5_0 )
& ( ( ~ c2_1(a163)
& ~ c3_2(a163,a164)
& c5_2(a163,a164)
& ~ c1_2(a163,a164)
& ndr1_1(a163)
& c3_1(a163)
& ndr1_0 )
| sP1_prd )
& ( ! [X] :
( ! [Y] :
( c2_2(X,Y)
| ~ c5_2(X,Y)
| ~ ndr1_1(X) )
| c3_1(X)
| c1_1(X)
| ~ ndr1_0 )
| ( ~ c5_2(a159,a160)
& ~ c3_2(a159,a160)
& ndr1_1(a159)
& ~ c3_1(a159)
& ~ c2_1(a159)
& ndr1_0 )
| ~ c1_0 )
& ( ( ! [W] :
( c4_2(a158,W)
| c5_2(a158,W)
| c1_2(a158,W)
| ~ ndr1_1(a158) )
& c5_1(a158)
& c3_1(a158)
& ndr1_0 )
| c1_0
| ! [U] :
( sP0_prd(U)
| ~ ndr1_0 ) ) ),
inference(formula_renaming,[status(thm)],[f3,f9,f8,f7,f6,f5,f4]) ).
fof(f11,plain,
( ( c5_0
| ~ c1_0
| ! [X25] :
( ~ c2_1(X25)
| ( c2_2(X25,a187)
& ~ c5_2(X25,a187)
& c1_2(X25,a187)
& ndr1_1(X25) ) )
| ~ ndr1_0 )
& ( ! [X24] :
( ( c4_2(X24,a186)
& ~ c1_2(X24,a186)
& ndr1_1(X24) )
| sP5_prd(X24) )
| ~ ndr1_0
| c3_0 )
& ( ( ( ! [X23] :
( c2_2(a183,X23)
| c3_2(a183,X23) )
| ~ ndr1_1(a183) )
& c2_1(a183)
& ~ c5_2(a183,a184)
& c1_2(a183,a184)
& ndr1_1(a183)
& ndr1_0 )
| c5_0
| c1_0 )
& ( ! [X21] :
( ! [X22] :
( ~ c3_2(X21,X22)
| c1_2(X21,X22)
| c2_2(X21,X22) )
| ~ ndr1_1(X21)
| ( c5_2(X21,a182)
& ~ c2_2(X21,a182)
& ~ c3_2(X21,a182)
& ndr1_1(X21) )
| c1_1(X21) )
| ~ ndr1_0
| ! [X19] :
( ! [X20] :
( ~ c1_2(X19,X20)
| ~ c3_2(X19,X20)
| ~ c4_2(X19,X20) )
| ~ ndr1_1(X19)
| ~ c4_1(X19)
| ~ c1_1(X19) )
| ~ ndr1_0
| c3_0 )
& ( c2_0
| c4_0
| ( c1_1(a181)
& ( ! [X18] :
( c3_2(a181,X18)
| c5_2(a181,X18)
| ~ c1_2(a181,X18) )
| ~ ndr1_1(a181) )
& ~ c4_1(a181)
& ndr1_0 ) )
& ( ~ c3_0
| ( c3_1(a180)
& ( ! [X17] :
( ~ c1_2(a180,X17)
| c4_2(a180,X17)
| ~ c5_2(a180,X17) )
| ~ ndr1_1(a180) )
& c2_1(a180)
& ndr1_0 ) )
& ( ! [X16] :
( ~ c3_1(X16)
| ~ c5_1(X16)
| ~ c4_1(X16) )
| ~ ndr1_0
| ~ c3_0
| ~ c2_0 )
& ( ~ c3_0
| ( ( ! [X15] :
( c3_2(a178,X15)
| c4_2(a178,X15) )
| ~ ndr1_1(a178) )
& c5_2(a178,a179)
& ~ c4_2(a178,a179)
& ndr1_1(a178)
& c4_1(a178)
& ndr1_0 )
| ~ c2_0 )
& ( ! [X14] :
( ~ c1_1(X14)
| ( c3_2(X14,a177)
& c4_2(X14,a177)
& c2_2(X14,a177)
& ndr1_1(X14) )
| sP4_prd(X14) )
| ~ ndr1_0
| c3_0
| ! [X13] :
( ~ c2_1(X13)
| ~ c5_1(X13)
| c4_1(X13) )
| ~ ndr1_0 )
& ( ( ( ! [X12] :
( c4_2(a175,X12)
| ~ c3_2(a175,X12)
| c2_2(a175,X12) )
| ~ ndr1_1(a175) )
& c2_1(a175)
& c1_1(a175)
& ndr1_0 )
| ! [X11] :
( sP3_prd(X11)
| ~ c3_1(X11)
| c1_1(X11) )
| ~ ndr1_0
| ~ c4_0 )
& ( c2_0
| ~ c4_0
| c3_0 )
& ( ! [X9] :
( ~ c5_1(X9)
| ~ c2_1(X9)
| ! [X10] :
( c4_2(X9,X10)
| c5_2(X9,X10)
| c2_2(X9,X10) )
| ~ ndr1_1(X9) )
| ~ ndr1_0
| ( ! [X8] : ~ c3_2(X8,a173)
& ! [X8] : ~ c5_2(X8,a173)
& ! [X8] : ndr1_1(X8) )
| ~ ndr1_0
| ~ c5_0 )
& ( ( ( ! [X7] :
( ~ c5_2(a171,X7)
| ~ c4_2(a171,X7) )
| ~ ndr1_1(a171) )
& c3_2(a171,a172)
& ~ c1_2(a171,a172)
& ndr1_1(a171)
& ~ c4_1(a171)
& ndr1_0 )
| sP2_prd )
& ( ( c4_2(a167,a168)
& c3_2(a167,a168)
& c2_2(a167,a168)
& ndr1_1(a167)
& ( ! [X5] :
( ~ c1_2(a167,X5)
| ~ c3_2(a167,X5) )
| ~ ndr1_1(a167) )
& ( ! [X4] :
( c4_2(a167,X4)
| ~ c1_2(a167,X4)
| ~ c2_2(a167,X4) )
| ~ ndr1_1(a167) )
& ndr1_0 )
| ! [X3] :
( c1_1(X3)
| ~ c2_1(X3)
| ~ c5_1(X3) )
| ~ ndr1_0
| ~ c2_0 )
& ( ( ( ! [X2] :
( c4_2(a165,X2)
| ~ c3_2(a165,X2)
| c5_2(a165,X2) )
| ~ ndr1_1(a165) )
& ~ c5_2(a165,a166)
& c3_2(a165,a166)
& c1_2(a165,a166)
& ndr1_1(a165)
& c1_1(a165)
& ndr1_0 )
| ~ c5_0 )
& ( ( ~ c2_1(a163)
& ~ c3_2(a163,a164)
& c5_2(a163,a164)
& ~ c1_2(a163,a164)
& ndr1_1(a163)
& c3_1(a163)
& ndr1_0 )
| sP1_prd )
& ( ! [X] :
( ! [Y] :
( c2_2(X,Y)
| ~ c5_2(X,Y) )
| ~ ndr1_1(X)
| c3_1(X)
| c1_1(X) )
| ~ ndr1_0
| ( ~ c5_2(a159,a160)
& ~ c3_2(a159,a160)
& ndr1_1(a159)
& ~ c3_1(a159)
& ~ c2_1(a159)
& ndr1_0 )
| ~ c1_0 )
& ( ( ( ! [W] :
( c4_2(a158,W)
| c5_2(a158,W)
| c1_2(a158,W) )
| ~ ndr1_1(a158) )
& c5_1(a158)
& c3_1(a158)
& ndr1_0 )
| c1_0
| ! [U] : sP0_prd(U)
| ~ ndr1_0 ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f13,plain,
! [X0] :
( c3_1(a158)
| c1_0
| sP0_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f14,plain,
! [X0] :
( c5_1(a158)
| c1_0
| sP0_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f15,plain,
! [X0,X1] :
( c4_2(a158,X1)
| c5_2(a158,X1)
| c1_2(a158,X1)
| ~ ndr1_1(a158)
| c1_0
| sP0_prd(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f17,plain,
! [X0,X1] :
( c2_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(a159)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f18,plain,
! [X0,X1] :
( c2_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(a159)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f19,plain,
! [X0,X1] :
( c2_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ndr1_1(a159)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f20,plain,
! [X0,X1] :
( c2_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_2(a159,a160)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f21,plain,
! [X0,X1] :
( c2_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c5_2(a159,a160)
| ~ c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f22,plain,
( ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f23,plain,
( c3_1(a163)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f24,plain,
( ndr1_1(a163)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f25,plain,
( ~ c1_2(a163,a164)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f26,plain,
( c5_2(a163,a164)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f27,plain,
( ~ c3_2(a163,a164)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f28,plain,
( ~ c2_1(a163)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f29,plain,
( ndr1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f30,plain,
( c1_1(a165)
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f31,plain,
( ndr1_1(a165)
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f32,plain,
( c1_2(a165,a166)
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f33,plain,
( c3_2(a165,a166)
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f34,plain,
( ~ c5_2(a165,a166)
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f35,plain,
! [X0] :
( c4_2(a165,X0)
| ~ c3_2(a165,X0)
| c5_2(a165,X0)
| ~ ndr1_1(a165)
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f37,plain,
! [X0,X1] :
( c4_2(a167,X1)
| ~ c1_2(a167,X1)
| ~ c2_2(a167,X1)
| ~ ndr1_1(a167)
| c1_1(X0)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f38,plain,
! [X0,X1] :
( ~ c1_2(a167,X1)
| ~ c3_2(a167,X1)
| ~ ndr1_1(a167)
| c1_1(X0)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f39,plain,
! [X0] :
( ndr1_1(a167)
| c1_1(X0)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f40,plain,
! [X0] :
( c2_2(a167,a168)
| c1_1(X0)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f41,plain,
! [X0] :
( c3_2(a167,a168)
| c1_1(X0)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f42,plain,
! [X0] :
( c4_2(a167,a168)
| c1_1(X0)
| ~ c2_1(X0)
| ~ c5_1(X0)
| ~ ndr1_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f43,plain,
( ndr1_0
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f44,plain,
( ~ c4_1(a171)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f45,plain,
( ndr1_1(a171)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f46,plain,
( ~ c1_2(a171,a172)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f47,plain,
( c3_2(a171,a172)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f48,plain,
! [X0] :
( ~ c5_2(a171,X0)
| ~ c4_2(a171,X0)
| ~ ndr1_1(a171)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ c5_1(X1)
| ~ c2_1(X1)
| c4_2(X1,X2)
| c5_2(X1,X2)
| c2_2(X1,X2)
| ~ ndr1_1(X1)
| ~ ndr1_0
| ndr1_1(X0)
| ~ ndr1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ~ c5_1(X1)
| ~ c2_1(X1)
| c4_2(X1,X2)
| c5_2(X1,X2)
| c2_2(X1,X2)
| ~ ndr1_1(X1)
| ~ ndr1_0
| ~ c5_2(X0,a173)
| ~ ndr1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ~ c5_1(X1)
| ~ c2_1(X1)
| c4_2(X1,X2)
| c5_2(X1,X2)
| c2_2(X1,X2)
| ~ ndr1_1(X1)
| ~ ndr1_0
| ~ c3_2(X0,a173)
| ~ ndr1_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f52,plain,
( c2_0
| ~ c4_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f54,plain,
! [X0] :
( c1_1(a175)
| sP3_prd(X0)
| ~ c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f55,plain,
! [X0] :
( c2_1(a175)
| sP3_prd(X0)
| ~ c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f56,plain,
! [X0,X1] :
( c4_2(a175,X1)
| ~ c3_2(a175,X1)
| c2_2(a175,X1)
| ~ ndr1_1(a175)
| sP3_prd(X0)
| ~ c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c4_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f57,plain,
! [X0,X1] :
( ~ c1_1(X1)
| ndr1_1(X1)
| sP4_prd(X1)
| ~ ndr1_0
| c3_0
| ~ c2_1(X0)
| ~ c5_1(X0)
| c4_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f58,plain,
! [X0,X1] :
( ~ c1_1(X1)
| c2_2(X1,a177)
| sP4_prd(X1)
| ~ ndr1_0
| c3_0
| ~ c2_1(X0)
| ~ c5_1(X0)
| c4_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f59,plain,
! [X0,X1] :
( ~ c1_1(X1)
| c4_2(X1,a177)
| sP4_prd(X1)
| ~ ndr1_0
| c3_0
| ~ c2_1(X0)
| ~ c5_1(X0)
| c4_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f60,plain,
! [X0,X1] :
( ~ c1_1(X1)
| c3_2(X1,a177)
| sP4_prd(X1)
| ~ ndr1_0
| c3_0
| ~ c2_1(X0)
| ~ c5_1(X0)
| c4_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f62,plain,
( ~ c3_0
| c4_1(a178)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f63,plain,
( ~ c3_0
| ndr1_1(a178)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f64,plain,
( ~ c3_0
| ~ c4_2(a178,a179)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f65,plain,
( ~ c3_0
| c5_2(a178,a179)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f66,plain,
! [X0] :
( ~ c3_0
| c3_2(a178,X0)
| c4_2(a178,X0)
| ~ ndr1_1(a178)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f67,plain,
! [X0] :
( ~ c3_1(X0)
| ~ c5_1(X0)
| ~ c4_1(X0)
| ~ ndr1_0
| ~ c3_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f68,plain,
( ~ c3_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f69,plain,
( ~ c3_0
| c2_1(a180) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f70,plain,
! [X0] :
( ~ c3_0
| ~ c1_2(a180,X0)
| c4_2(a180,X0)
| ~ c5_2(a180,X0)
| ~ ndr1_1(a180) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f71,plain,
( ~ c3_0
| c3_1(a180) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f72,plain,
( c2_0
| c4_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f73,plain,
( c2_0
| c4_0
| ~ c4_1(a181) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f74,plain,
! [X0] :
( c2_0
| c4_0
| c3_2(a181,X0)
| c5_2(a181,X0)
| ~ c1_2(a181,X0)
| ~ ndr1_1(a181) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f75,plain,
( c2_0
| c4_0
| c1_1(a181) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( ~ c3_2(X2,X3)
| c1_2(X2,X3)
| c2_2(X2,X3)
| ~ ndr1_1(X2)
| ndr1_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c1_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( ~ c3_2(X2,X3)
| c1_2(X2,X3)
| c2_2(X2,X3)
| ~ ndr1_1(X2)
| ~ c3_2(X2,a182)
| c1_1(X2)
| ~ ndr1_0
| ~ c1_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( ~ c3_2(X2,X3)
| c1_2(X2,X3)
| c2_2(X2,X3)
| ~ ndr1_1(X2)
| ~ c2_2(X2,a182)
| c1_1(X2)
| ~ ndr1_0
| ~ c1_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( ~ c3_2(X2,X3)
| c1_2(X2,X3)
| c2_2(X2,X3)
| ~ ndr1_1(X2)
| c5_2(X2,a182)
| c1_1(X2)
| ~ ndr1_0
| ~ c1_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f80,plain,
( ndr1_0
| c5_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f81,plain,
( ndr1_1(a183)
| c5_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f82,plain,
( c1_2(a183,a184)
| c5_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f83,plain,
( ~ c5_2(a183,a184)
| c5_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f84,plain,
( c2_1(a183)
| c5_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f85,plain,
! [X0] :
( c2_2(a183,X0)
| c3_2(a183,X0)
| ~ ndr1_1(a183)
| c5_0
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f86,plain,
! [X0] :
( ndr1_1(X0)
| sP5_prd(X0)
| ~ ndr1_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f87,plain,
! [X0] :
( ~ c1_2(X0,a186)
| sP5_prd(X0)
| ~ ndr1_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f88,plain,
! [X0] :
( c4_2(X0,a186)
| sP5_prd(X0)
| ~ ndr1_0
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f89,plain,
! [X0] :
( c5_0
| ~ c1_0
| ~ c2_1(X0)
| ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f90,plain,
! [X0] :
( c5_0
| ~ c1_0
| ~ c2_1(X0)
| c1_2(X0,a187)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f91,plain,
! [X0] :
( c5_0
| ~ c1_0
| ~ c2_1(X0)
| ~ c5_2(X0,a187)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f92,plain,
! [X0] :
( c5_0
| ~ c1_0
| ~ c2_1(X0)
| c2_2(X0,a187)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f93,plain,
! [U] :
( ( ( ? [V] :
( ~ c5_2(U,V)
& ~ c1_2(U,V)
& ndr1_1(U) )
& c5_1(U)
& ( ~ c2_2(U,a157)
| c3_2(U,a157)
| ~ ndr1_1(U) ) )
| sP0_prd(U) )
& ( ! [V] :
( c5_2(U,V)
| c1_2(U,V)
| ~ ndr1_1(U) )
| ~ c5_1(U)
| ( c2_2(U,a157)
& ~ c3_2(U,a157)
& ndr1_1(U) )
| ~ sP0_prd(U) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f94,plain,
( ! [U] :
( ( ? [V] :
( ~ c5_2(U,V)
& ~ c1_2(U,V) )
& ndr1_1(U)
& c5_1(U)
& ( ~ c2_2(U,a157)
| c3_2(U,a157)
| ~ ndr1_1(U) ) )
| sP0_prd(U) )
& ! [U] :
( ! [V] :
( c5_2(U,V)
| c1_2(U,V) )
| ~ ndr1_1(U)
| ~ c5_1(U)
| ( c2_2(U,a157)
& ~ c3_2(U,a157)
& ndr1_1(U) )
| ~ sP0_prd(U) ) ),
inference(miniscoping,[status(thm)],[f93]) ).
fof(f95,plain,
( ! [U] :
( ( ~ c5_2(U,sK0_skl(U))
& ~ c1_2(U,sK0_skl(U))
& ndr1_1(U)
& c5_1(U)
& ( ~ c2_2(U,a157)
| c3_2(U,a157)
| ~ ndr1_1(U) ) )
| sP0_prd(U) )
& ! [U] :
( ! [V] :
( c5_2(U,V)
| c1_2(U,V) )
| ~ ndr1_1(U)
| ~ c5_1(U)
| ( c2_2(U,a157)
& ~ c3_2(U,a157)
& ndr1_1(U) )
| ~ sP0_prd(U) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(V,sK0_skl(U))],[f94]) ).
fof(f97,plain,
! [X0,X1] :
( c5_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_1(X0)
| ~ c3_2(X0,a157)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f98,plain,
! [X0,X1] :
( c5_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_1(X0)
| c2_2(X0,a157)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f99,plain,
! [X0] :
( ~ c2_2(X0,a157)
| c3_2(X0,a157)
| ~ ndr1_1(X0)
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f100,plain,
! [X0] :
( c5_1(X0)
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f101,plain,
! [X0] :
( ndr1_1(X0)
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f102,plain,
! [X0] :
( ~ c1_2(X0,sK0_skl(X0))
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f103,plain,
! [X0] :
( ~ c5_2(X0,sK0_skl(X0))
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f104,plain,
( ( ( ? [Z] :
( ~ c1_1(Z)
& ? [X1] :
( c1_2(Z,X1)
& c4_2(Z,X1)
& ndr1_1(Z) )
& ~ c2_1(Z)
& ndr1_0 )
& ( ~ c4_1(a161)
| ~ c1_2(a161,a162)
| ~ c5_2(a161,a162)
| ~ c3_2(a161,a162)
| ~ ndr1_1(a161)
| c3_1(a161)
| ~ ndr1_0 ) )
| sP1_prd )
& ( ! [Z] :
( c1_1(Z)
| ! [X1] :
( ~ c1_2(Z,X1)
| ~ c4_2(Z,X1)
| ~ ndr1_1(Z) )
| c2_1(Z)
| ~ ndr1_0 )
| ( c4_1(a161)
& c1_2(a161,a162)
& c5_2(a161,a162)
& c3_2(a161,a162)
& ndr1_1(a161)
& ~ c3_1(a161)
& ndr1_0 )
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f105,plain,
( ( ( ? [Z] :
( ~ c1_1(Z)
& ? [X1] :
( c1_2(Z,X1)
& c4_2(Z,X1) )
& ndr1_1(Z)
& ~ c2_1(Z) )
& ndr1_0
& ( ~ c4_1(a161)
| ~ c1_2(a161,a162)
| ~ c5_2(a161,a162)
| ~ c3_2(a161,a162)
| ~ ndr1_1(a161)
| c3_1(a161)
| ~ ndr1_0 ) )
| sP1_prd )
& ( ! [Z] :
( c1_1(Z)
| ! [X1] :
( ~ c1_2(Z,X1)
| ~ c4_2(Z,X1) )
| ~ ndr1_1(Z)
| c2_1(Z) )
| ~ ndr1_0
| ( c4_1(a161)
& c1_2(a161,a162)
& c5_2(a161,a162)
& c3_2(a161,a162)
& ndr1_1(a161)
& ~ c3_1(a161)
& ndr1_0 )
| ~ sP1_prd ) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f106,plain,
( ( ( ~ c1_1(sK1_skl)
& c1_2(sK1_skl,sK2_skl)
& c4_2(sK1_skl,sK2_skl)
& ndr1_1(sK1_skl)
& ~ c2_1(sK1_skl)
& ndr1_0
& ( ~ c4_1(a161)
| ~ c1_2(a161,a162)
| ~ c5_2(a161,a162)
| ~ c3_2(a161,a162)
| ~ ndr1_1(a161)
| c3_1(a161)
| ~ ndr1_0 ) )
| sP1_prd )
& ( ! [Z] :
( c1_1(Z)
| ! [X1] :
( ~ c1_2(Z,X1)
| ~ c4_2(Z,X1) )
| ~ ndr1_1(Z)
| c2_1(Z) )
| ~ ndr1_0
| ( c4_1(a161)
& c1_2(a161,a162)
& c5_2(a161,a162)
& c3_2(a161,a162)
& ndr1_1(a161)
& ~ c3_1(a161)
& ndr1_0 )
| ~ sP1_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(Z,sK1_skl),skolemize(X1,sK2_skl)],[f105]) ).
fof(f108,plain,
! [X0,X1] :
( c1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(a161)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f109,plain,
! [X0,X1] :
( c1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ndr1_1(a161)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f110,plain,
! [X0,X1] :
( c1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| c3_2(a161,a162)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f111,plain,
! [X0,X1] :
( c1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| c5_2(a161,a162)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f112,plain,
! [X0,X1] :
( c1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| c1_2(a161,a162)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f113,plain,
! [X0,X1] :
( c1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| c4_1(a161)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f114,plain,
( ~ c4_1(a161)
| ~ c1_2(a161,a162)
| ~ c5_2(a161,a162)
| ~ c3_2(a161,a162)
| ~ ndr1_1(a161)
| c3_1(a161)
| ~ ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f116,plain,
( ~ c2_1(sK1_skl)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f117,plain,
( ndr1_1(sK1_skl)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f118,plain,
( c4_2(sK1_skl,sK2_skl)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f119,plain,
( c1_2(sK1_skl,sK2_skl)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f120,plain,
( ~ c1_1(sK1_skl)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f121,definition,
( sP6_prd
<=> ( ! [X6] :
( c5_2(a169,X6)
| c3_2(a169,X6)
| c2_2(a169,X6)
| ~ ndr1_1(a169) )
& c3_1(a169)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f122,plain,
( sP2_prd
<=> ( ( ~ c3_1(a170)
& ~ c1_1(a170)
& ndr1_0 )
| sP6_prd ) ),
inference(formula_renaming,[status(thm)],[f6,f121]) ).
fof(f123,plain,
( ( ( ( c3_1(a170)
| c1_1(a170)
| ~ ndr1_0 )
& ~ sP6_prd )
| sP2_prd )
& ( ( ~ c3_1(a170)
& ~ c1_1(a170)
& ndr1_0 )
| sP6_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f122]) ).
fof(f124,plain,
( ndr1_0
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f125,plain,
( ~ c1_1(a170)
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f126,plain,
( ~ c3_1(a170)
| sP6_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f127,plain,
( ~ sP6_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f128,plain,
( c3_1(a170)
| c1_1(a170)
| ~ ndr1_0
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f129,plain,
! [X11] :
( ( c1_2(X11,a174)
| c5_2(X11,a174)
| c2_2(X11,a174)
| ~ ndr1_1(X11)
| sP3_prd(X11) )
& ( ( ~ c1_2(X11,a174)
& ~ c5_2(X11,a174)
& ~ c2_2(X11,a174)
& ndr1_1(X11) )
| ~ sP3_prd(X11) ) ),
inference(NNF_transformation,[status(thm)],[f7]) ).
fof(f130,plain,
( ! [X11] :
( c1_2(X11,a174)
| c5_2(X11,a174)
| c2_2(X11,a174)
| ~ ndr1_1(X11)
| sP3_prd(X11) )
& ! [X11] :
( ( ~ c1_2(X11,a174)
& ~ c5_2(X11,a174)
& ~ c2_2(X11,a174)
& ndr1_1(X11) )
| ~ sP3_prd(X11) ) ),
inference(miniscoping,[status(thm)],[f129]) ).
fof(f131,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f132,plain,
! [X0] :
( ~ c2_2(X0,a174)
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f133,plain,
! [X0] :
( ~ c5_2(X0,a174)
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f134,plain,
! [X0] :
( ~ c1_2(X0,a174)
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f135,plain,
! [X0] :
( c1_2(X0,a174)
| c5_2(X0,a174)
| c2_2(X0,a174)
| ~ ndr1_1(X0)
| sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f136,plain,
! [X14] :
( ( ~ c2_2(X14,a176)
| c4_2(X14,a176)
| ~ ndr1_1(X14)
| sP4_prd(X14) )
& ( ( c2_2(X14,a176)
& ~ c4_2(X14,a176)
& ndr1_1(X14) )
| ~ sP4_prd(X14) ) ),
inference(NNF_transformation,[status(thm)],[f8]) ).
fof(f137,plain,
( ! [X14] :
( ~ c2_2(X14,a176)
| c4_2(X14,a176)
| ~ ndr1_1(X14)
| sP4_prd(X14) )
& ! [X14] :
( ( c2_2(X14,a176)
& ~ c4_2(X14,a176)
& ndr1_1(X14) )
| ~ sP4_prd(X14) ) ),
inference(miniscoping,[status(thm)],[f136]) ).
fof(f138,plain,
! [X0] :
( ndr1_1(X0)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f139,plain,
! [X0] :
( ~ c4_2(X0,a176)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f140,plain,
! [X0] :
( c2_2(X0,a176)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f141,plain,
! [X0] :
( ~ c2_2(X0,a176)
| c4_2(X0,a176)
| ~ ndr1_1(X0)
| sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f142,plain,
! [X24] :
( ( ( c3_1(X24)
& ( c3_2(X24,a185)
| c2_2(X24,a185)
| ~ ndr1_1(X24) ) )
| sP5_prd(X24) )
& ( ~ c3_1(X24)
| ( ~ c3_2(X24,a185)
& ~ c2_2(X24,a185)
& ndr1_1(X24) )
| ~ sP5_prd(X24) ) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f143,plain,
( ! [X24] :
( ( c3_1(X24)
& ( c3_2(X24,a185)
| c2_2(X24,a185)
| ~ ndr1_1(X24) ) )
| sP5_prd(X24) )
& ! [X24] :
( ~ c3_1(X24)
| ( ~ c3_2(X24,a185)
& ~ c2_2(X24,a185)
& ndr1_1(X24) )
| ~ sP5_prd(X24) ) ),
inference(miniscoping,[status(thm)],[f142]) ).
fof(f144,plain,
! [X0] :
( ~ c3_1(X0)
| ndr1_1(X0)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f145,plain,
! [X0] :
( ~ c3_1(X0)
| ~ c2_2(X0,a185)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f146,plain,
! [X0] :
( ~ c3_1(X0)
| ~ c3_2(X0,a185)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f147,plain,
! [X0] :
( c3_2(X0,a185)
| c2_2(X0,a185)
| ~ ndr1_1(X0)
| sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f148,plain,
! [X0] :
( c3_1(X0)
| sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f149,plain,
( ( ? [X6] :
( ~ c5_2(a169,X6)
& ~ c3_2(a169,X6)
& ~ c2_2(a169,X6)
& ndr1_1(a169) )
| ~ c3_1(a169)
| ~ ndr1_0
| sP6_prd )
& ( ( ! [X6] :
( c5_2(a169,X6)
| c3_2(a169,X6)
| c2_2(a169,X6)
| ~ ndr1_1(a169) )
& c3_1(a169)
& ndr1_0 )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f121]) ).
fof(f150,plain,
( ( ( ? [X6] :
( ~ c5_2(a169,X6)
& ~ c3_2(a169,X6)
& ~ c2_2(a169,X6) )
& ndr1_1(a169) )
| ~ c3_1(a169)
| ~ ndr1_0
| sP6_prd )
& ( ( ( ! [X6] :
( c5_2(a169,X6)
| c3_2(a169,X6)
| c2_2(a169,X6) )
| ~ ndr1_1(a169) )
& c3_1(a169)
& ndr1_0 )
| ~ sP6_prd ) ),
inference(miniscoping,[status(thm)],[f149]) ).
fof(f151,plain,
( ( ( ~ c5_2(a169,sK3_skl)
& ~ c3_2(a169,sK3_skl)
& ~ c2_2(a169,sK3_skl)
& ndr1_1(a169) )
| ~ c3_1(a169)
| ~ ndr1_0
| sP6_prd )
& ( ( ( ! [X6] :
( c5_2(a169,X6)
| c3_2(a169,X6)
| c2_2(a169,X6) )
| ~ ndr1_1(a169) )
& c3_1(a169)
& ndr1_0 )
| ~ sP6_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(X6,sK3_skl)],[f150]) ).
fof(f152,plain,
( ndr1_0
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
( c3_1(a169)
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f154,plain,
! [X0] :
( c5_2(a169,X0)
| c3_2(a169,X0)
| c2_2(a169,X0)
| ~ ndr1_1(a169)
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f155,plain,
( ndr1_1(a169)
| ~ c3_1(a169)
| ~ ndr1_0
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f156,plain,
( ~ c2_2(a169,sK3_skl)
| ~ c3_1(a169)
| ~ ndr1_0
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f157,plain,
( ~ c3_2(a169,sK3_skl)
| ~ c3_1(a169)
| ~ ndr1_0
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f158,plain,
( ~ c5_2(a169,sK3_skl)
| ~ c3_1(a169)
| ~ ndr1_0
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f159,definition,
( sQ0_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ0_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,definition,
! [X0] :
( sQ1_spl
<=> sP0_prd(X0) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f163,plain,
! [X0] :
( ~ sQ1_spl
| sP0_prd(X0) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,definition,
( sQ2_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( ~ sQ2_spl
| c1_0 ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f167,plain,
( sQ2_spl
| ~ c1_0 ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f169,definition,
( sQ3_spl
<=> c3_1(a158) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ3_spl
| c3_1(a158) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f13,f159,f162,f165,f169]) ).
fof(f173,definition,
( sQ4_spl
<=> c5_1(a158) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( ~ sQ4_spl
| c5_1(a158) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,plain,
( sQ4_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f14,f159,f162,f165,f173]) ).
fof(f177,definition,
( sQ5_spl
<=> ndr1_1(a158) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ5_spl
| ndr1_1(a158) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f179,plain,
( sQ5_spl
| ~ ndr1_1(a158) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,definition,
! [X1] :
( sQ6_spl
<=> ( c4_2(a158,X1)
| c5_2(a158,X1)
| c1_2(a158,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f181,plain,
! [X0] :
( ~ sQ6_spl
| c4_2(a158,X0)
| c5_2(a158,X0)
| c1_2(a158,X0) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( sQ6_spl
| ~ sQ5_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f15,f159,f162,f165,f177,f180]) ).
fof(f184,definition,
! [X0,X1] :
( sQ7_spl
<=> ( c2_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f185,plain,
! [X0,X1] :
( ~ sQ7_spl
| c2_2(X0,X1)
| ~ c5_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f188,definition,
( sQ8_spl
<=> c2_1(a159) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f190,plain,
( sQ8_spl
| ~ c2_1(a159) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( sQ7_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f17,f165,f188,f159,f184]) ).
fof(f192,definition,
( sQ9_spl
<=> c3_1(a159) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( sQ9_spl
| ~ c3_1(a159) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,plain,
( sQ7_spl
| ~ sQ0_spl
| ~ sQ9_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f18,f165,f192,f159,f184]) ).
fof(f196,definition,
( sQ10_spl
<=> ndr1_1(a159) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ10_spl
| ndr1_1(a159) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( sQ7_spl
| ~ sQ0_spl
| sQ10_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f19,f165,f196,f159,f184]) ).
fof(f200,definition,
( sQ11_spl
<=> c3_2(a159,a160) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( sQ11_spl
| ~ c3_2(a159,a160) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( sQ7_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f20,f165,f200,f159,f184]) ).
fof(f204,definition,
( sQ12_spl
<=> c5_2(a159,a160) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( sQ12_spl
| ~ c5_2(a159,a160) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,plain,
( sQ7_spl
| ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f21,f165,f204,f159,f184]) ).
fof(f208,definition,
( sQ13_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ13_spl
| sP1_prd ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,plain,
( sQ0_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f22,f208,f159]) ).
fof(f212,definition,
( sQ14_spl
<=> c3_1(a163) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ14_spl
| c3_1(a163) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f23,f208,f212]) ).
fof(f216,definition,
( sQ15_spl
<=> ndr1_1(a163) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( ~ sQ15_spl
| ndr1_1(a163) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,plain,
( sQ15_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f24,f208,f216]) ).
fof(f220,definition,
( sQ16_spl
<=> c1_2(a163,a164) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f222,plain,
( sQ16_spl
| ~ c1_2(a163,a164) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,plain,
( ~ sQ16_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f25,f208,f220]) ).
fof(f224,definition,
( sQ17_spl
<=> c5_2(a163,a164) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ17_spl
| c5_2(a163,a164) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,plain,
( sQ17_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f26,f208,f224]) ).
fof(f228,definition,
( sQ18_spl
<=> c3_2(a163,a164) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( sQ18_spl
| ~ c3_2(a163,a164) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( ~ sQ18_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f27,f208,f228]) ).
fof(f232,definition,
( sQ19_spl
<=> c2_1(a163) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( sQ19_spl
| ~ c2_1(a163) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( ~ sQ19_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f28,f208,f232]) ).
fof(f236,definition,
( sQ20_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ20_spl
| c5_0 ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f238,plain,
( sQ20_spl
| ~ c5_0 ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( sQ0_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f29,f236,f159]) ).
fof(f240,definition,
( sQ21_spl
<=> c1_1(a165) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ21_spl
| c1_1(a165) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f242,plain,
( sQ21_spl
| ~ c1_1(a165) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( sQ21_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f30,f236,f240]) ).
fof(f244,definition,
( sQ22_spl
<=> ndr1_1(a165) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ22_spl
| ndr1_1(a165) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( sQ22_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f31,f236,f244]) ).
fof(f248,definition,
( sQ23_spl
<=> c1_2(a165,a166) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ23_spl
| c1_2(a165,a166) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( sQ23_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f32,f236,f248]) ).
fof(f252,definition,
( sQ24_spl
<=> c3_2(a165,a166) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ24_spl
| c3_2(a165,a166) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( sQ24_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f33,f236,f252]) ).
fof(f256,definition,
( sQ25_spl
<=> c5_2(a165,a166) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ25_spl
| c5_2(a165,a166) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f258,plain,
( sQ25_spl
| ~ c5_2(a165,a166) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,plain,
( ~ sQ25_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f34,f236,f256]) ).
fof(f260,definition,
! [X0] :
( sQ26_spl
<=> ( c4_2(a165,X0)
| ~ c3_2(a165,X0)
| c5_2(a165,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f261,plain,
! [X0] :
( ~ sQ26_spl
| c4_2(a165,X0)
| ~ c3_2(a165,X0)
| c5_2(a165,X0) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( sQ26_spl
| ~ sQ22_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f35,f236,f244,f260]) ).
fof(f264,definition,
( sQ27_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( ~ sQ27_spl
| c2_0 ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f266,plain,
( sQ27_spl
| ~ c2_0 ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,definition,
! [X0] :
( sQ28_spl
<=> ( c1_1(X0)
| ~ c2_1(X0)
| ~ c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f268,plain,
! [X0] :
( ~ sQ28_spl
| c1_1(X0)
| ~ c2_1(X0)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f271,definition,
( sQ29_spl
<=> ndr1_1(a167) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( ~ sQ29_spl
| ndr1_1(a167) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f273,plain,
( sQ29_spl
| ~ ndr1_1(a167) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,definition,
! [X1] :
( sQ30_spl
<=> ( c4_2(a167,X1)
| ~ c1_2(a167,X1)
| ~ c2_2(a167,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f275,plain,
! [X0] :
( ~ sQ30_spl
| c4_2(a167,X0)
| ~ c1_2(a167,X0)
| ~ c2_2(a167,X0) ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f277,plain,
( sQ30_spl
| ~ sQ29_spl
| sQ28_spl
| ~ sQ0_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f37,f264,f159,f267,f271,f274]) ).
fof(f278,definition,
! [X1] :
( sQ31_spl
<=> ( ~ c1_2(a167,X1)
| ~ c3_2(a167,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f279,plain,
! [X0] :
( ~ sQ31_spl
| ~ c1_2(a167,X0)
| ~ c3_2(a167,X0) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,plain,
( sQ31_spl
| ~ sQ29_spl
| sQ28_spl
| ~ sQ0_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f38,f264,f159,f267,f271,f278]) ).
fof(f282,plain,
( sQ29_spl
| sQ28_spl
| ~ sQ0_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f39,f264,f159,f267,f271]) ).
fof(f283,definition,
( sQ32_spl
<=> c2_2(a167,a168) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( ~ sQ32_spl
| c2_2(a167,a168) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,plain,
( sQ32_spl
| sQ28_spl
| ~ sQ0_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f40,f264,f159,f267,f283]) ).
fof(f287,definition,
( sQ33_spl
<=> c3_2(a167,a168) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f288,plain,
( ~ sQ33_spl
| c3_2(a167,a168) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,plain,
( sQ33_spl
| sQ28_spl
| ~ sQ0_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f41,f264,f159,f267,f287]) ).
fof(f291,definition,
( sQ34_spl
<=> c4_2(a167,a168) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ34_spl
| c4_2(a167,a168) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,plain,
( sQ34_spl
| sQ28_spl
| ~ sQ0_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f42,f264,f159,f267,f291]) ).
fof(f295,definition,
( sQ35_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ35_spl
| sP2_prd ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f297,plain,
( sQ35_spl
| ~ sP2_prd ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,plain,
( sQ0_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f43,f295,f159]) ).
fof(f299,definition,
( sQ36_spl
<=> c4_1(a171) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( sQ36_spl
| ~ c4_1(a171) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,plain,
( ~ sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f44,f295,f299]) ).
fof(f303,definition,
( sQ37_spl
<=> ndr1_1(a171) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f304,plain,
( ~ sQ37_spl
| ndr1_1(a171) ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f306,plain,
( sQ37_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f45,f295,f303]) ).
fof(f307,definition,
( sQ38_spl
<=> c1_2(a171,a172) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( sQ38_spl
| ~ c1_2(a171,a172) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,plain,
( ~ sQ38_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f46,f295,f307]) ).
fof(f311,definition,
( sQ39_spl
<=> c3_2(a171,a172) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ39_spl
| c3_2(a171,a172) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,plain,
( sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f47,f295,f311]) ).
fof(f315,definition,
! [X0] :
( sQ40_spl
<=> ( ~ c5_2(a171,X0)
| ~ c4_2(a171,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f316,plain,
! [X0] :
( ~ sQ40_spl
| ~ c5_2(a171,X0)
| ~ c4_2(a171,X0) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,plain,
( sQ40_spl
| ~ sQ37_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f48,f295,f303,f315]) ).
fof(f319,definition,
! [X0] :
( sQ41_spl
<=> ndr1_1(X0) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f320,plain,
! [X0] :
( ~ sQ41_spl
| ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,definition,
! [X1,X2] :
( sQ42_spl
<=> ( ~ c5_1(X1)
| ~ c2_1(X1)
| c4_2(X1,X2)
| c5_2(X1,X2)
| c2_2(X1,X2)
| ~ ndr1_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f323,plain,
! [X0,X1] :
( ~ sQ42_spl
| ~ c5_1(X0)
| ~ c2_1(X0)
| c4_2(X0,X1)
| c5_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( sQ42_spl
| sQ41_spl
| ~ sQ0_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f49,f236,f159,f319,f322]) ).
fof(f326,definition,
! [X0] :
( sQ43_spl
<=> ~ c5_2(X0,a173) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f327,plain,
! [X0] :
( ~ sQ43_spl
| ~ c5_2(X0,a173) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,plain,
( sQ42_spl
| sQ43_spl
| ~ sQ0_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f50,f236,f159,f326,f322]) ).
fof(f330,definition,
! [X0] :
( sQ44_spl
<=> ~ c3_2(X0,a173) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f331,plain,
! [X0] :
( ~ sQ44_spl
| ~ c3_2(X0,a173) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,plain,
( sQ42_spl
| sQ44_spl
| ~ sQ0_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f51,f236,f159,f330,f322]) ).
fof(f334,definition,
( sQ45_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ45_spl
| c3_0 ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f336,plain,
( sQ45_spl
| ~ c3_0 ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,definition,
( sQ46_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( sQ46_spl
| ~ c4_0 ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,plain,
( sQ27_spl
| ~ sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f52,f334,f337,f264]) ).
fof(f341,definition,
! [X0] :
( sQ47_spl
<=> ( sP3_prd(X0)
| ~ c3_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f342,plain,
! [X0] :
( ~ sQ47_spl
| sP3_prd(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f345,definition,
( sQ48_spl
<=> c1_1(a175) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ48_spl
| c1_1(a175) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f347,plain,
( sQ48_spl
| ~ c1_1(a175) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,plain,
( sQ48_spl
| sQ47_spl
| ~ sQ0_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f54,f337,f159,f341,f345]) ).
fof(f349,definition,
( sQ49_spl
<=> c2_1(a175) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ49_spl
| c2_1(a175) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f351,plain,
( sQ49_spl
| ~ c2_1(a175) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,plain,
( sQ49_spl
| sQ47_spl
| ~ sQ0_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f55,f337,f159,f341,f349]) ).
fof(f353,definition,
( sQ50_spl
<=> ndr1_1(a175) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( ~ sQ50_spl
| ndr1_1(a175) ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f355,plain,
( sQ50_spl
| ~ ndr1_1(a175) ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,definition,
! [X1] :
( sQ51_spl
<=> ( c4_2(a175,X1)
| ~ c3_2(a175,X1)
| c2_2(a175,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f357,plain,
! [X0] :
( ~ sQ51_spl
| c4_2(a175,X0)
| ~ c3_2(a175,X0)
| c2_2(a175,X0) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,plain,
( sQ51_spl
| ~ sQ50_spl
| sQ47_spl
| ~ sQ0_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f56,f337,f159,f341,f353,f356]) ).
fof(f360,definition,
! [X0] :
( sQ52_spl
<=> ( ~ c2_1(X0)
| ~ c5_1(X0)
| c4_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f361,plain,
! [X0] :
( ~ sQ52_spl
| ~ c2_1(X0)
| ~ c5_1(X0)
| c4_1(X0) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,definition,
! [X1] :
( sQ53_spl
<=> ( ~ c1_1(X1)
| ndr1_1(X1)
| sP4_prd(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f364,plain,
! [X0] :
( ~ sQ53_spl
| ~ c1_1(X0)
| ndr1_1(X0)
| sP4_prd(X0) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,plain,
( sQ53_spl
| sQ45_spl
| sQ52_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f159,f360,f334,f363]) ).
fof(f367,definition,
! [X1] :
( sQ54_spl
<=> ( ~ c1_1(X1)
| c2_2(X1,a177)
| sP4_prd(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f368,plain,
! [X0] :
( ~ sQ54_spl
| ~ c1_1(X0)
| c2_2(X0,a177)
| sP4_prd(X0) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,plain,
( sQ54_spl
| sQ45_spl
| sQ52_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f58,f159,f360,f334,f367]) ).
fof(f371,definition,
! [X1] :
( sQ55_spl
<=> ( ~ c1_1(X1)
| c4_2(X1,a177)
| sP4_prd(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f372,plain,
! [X0] :
( ~ sQ55_spl
| ~ c1_1(X0)
| c4_2(X0,a177)
| sP4_prd(X0) ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,plain,
( sQ55_spl
| sQ45_spl
| sQ52_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f59,f159,f360,f334,f371]) ).
fof(f375,definition,
! [X1] :
( sQ56_spl
<=> ( ~ c1_1(X1)
| c3_2(X1,a177)
| sP4_prd(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f376,plain,
! [X0] :
( ~ sQ56_spl
| ~ c1_1(X0)
| c3_2(X0,a177)
| sP4_prd(X0) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( sQ56_spl
| sQ45_spl
| sQ52_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f60,f159,f360,f334,f375]) ).
fof(f380,definition,
( sQ57_spl
<=> c4_1(a178) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ57_spl
| c4_1(a178) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f382,plain,
( sQ57_spl
| ~ c4_1(a178) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( ~ sQ45_spl
| sQ57_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f62,f264,f380,f334]) ).
fof(f384,definition,
( sQ58_spl
<=> ndr1_1(a178) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( sQ58_spl
| ~ ndr1_1(a178) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,plain,
( ~ sQ45_spl
| sQ58_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f63,f264,f384,f334]) ).
fof(f388,definition,
( sQ59_spl
<=> c4_2(a178,a179) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( sQ59_spl
| ~ c4_2(a178,a179) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( ~ sQ45_spl
| ~ sQ59_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f64,f264,f388,f334]) ).
fof(f392,definition,
( sQ60_spl
<=> c5_2(a178,a179) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ60_spl
| c5_2(a178,a179) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( ~ sQ45_spl
| sQ60_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f65,f264,f392,f334]) ).
fof(f396,definition,
! [X0] :
( sQ61_spl
<=> ( c3_2(a178,X0)
| c4_2(a178,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f397,plain,
! [X0] :
( ~ sQ61_spl
| c3_2(a178,X0)
| c4_2(a178,X0) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,plain,
( ~ sQ45_spl
| sQ61_spl
| ~ sQ58_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f66,f264,f384,f396,f334]) ).
fof(f400,definition,
! [X0] :
( sQ62_spl
<=> ( ~ c3_1(X0)
| ~ c5_1(X0)
| ~ c4_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f401,plain,
! [X0] :
( ~ sQ62_spl
| ~ c3_1(X0)
| ~ c5_1(X0)
| ~ c4_1(X0) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( sQ62_spl
| ~ sQ0_spl
| ~ sQ45_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f67,f264,f334,f159,f400]) ).
fof(f404,plain,
( ~ sQ45_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f68,f159,f334]) ).
fof(f405,definition,
( sQ63_spl
<=> c2_1(a180) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ63_spl
| c2_1(a180) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f407,plain,
( sQ63_spl
| ~ c2_1(a180) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,plain,
( ~ sQ45_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f69,f405,f334]) ).
fof(f409,definition,
( sQ64_spl
<=> ndr1_1(a180) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( ~ sQ64_spl
| ndr1_1(a180) ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f411,plain,
( sQ64_spl
| ~ ndr1_1(a180) ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,definition,
! [X0] :
( sQ65_spl
<=> ( ~ c1_2(a180,X0)
| c4_2(a180,X0)
| ~ c5_2(a180,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f413,plain,
! [X0] :
( ~ sQ65_spl
| ~ c1_2(a180,X0)
| c4_2(a180,X0)
| ~ c5_2(a180,X0) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,plain,
( ~ sQ45_spl
| sQ65_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f70,f409,f412,f334]) ).
fof(f416,definition,
( sQ66_spl
<=> c3_1(a180) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( ~ sQ66_spl
| c3_1(a180) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f418,plain,
( sQ66_spl
| ~ c3_1(a180) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( ~ sQ45_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f71,f416,f334]) ).
fof(f420,plain,
( sQ27_spl
| sQ46_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f72,f159,f337,f264]) ).
fof(f421,definition,
( sQ67_spl
<=> c4_1(a181) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f423,plain,
( sQ67_spl
| ~ c4_1(a181) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,plain,
( sQ27_spl
| sQ46_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f73,f421,f337,f264]) ).
fof(f425,definition,
( sQ68_spl
<=> ndr1_1(a181) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( sQ68_spl
| ~ ndr1_1(a181) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,definition,
! [X0] :
( sQ69_spl
<=> ( c3_2(a181,X0)
| c5_2(a181,X0)
| ~ c1_2(a181,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f429,plain,
! [X0] :
( ~ sQ69_spl
| c3_2(a181,X0)
| c5_2(a181,X0)
| ~ c1_2(a181,X0) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( sQ27_spl
| sQ46_spl
| sQ69_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f74,f425,f428,f337,f264]) ).
fof(f432,definition,
( sQ70_spl
<=> c1_1(a181) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( ~ sQ70_spl
| c1_1(a181) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f434,plain,
( sQ70_spl
| ~ c1_1(a181) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,plain,
( sQ27_spl
| sQ46_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f75,f432,f337,f264]) ).
fof(f436,definition,
! [X0,X1] :
( sQ71_spl
<=> ( ~ c1_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f437,plain,
! [X0,X1] :
( ~ sQ71_spl
| ~ c1_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c4_1(X0)
| ~ c1_1(X0) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,definition,
! [X2,X3] :
( sQ72_spl
<=> ( ~ c3_2(X2,X3)
| c1_2(X2,X3)
| c2_2(X2,X3)
| ~ ndr1_1(X2)
| ndr1_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( sQ72_spl
| sQ71_spl
| ~ sQ0_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f76,f334,f159,f436,f439]) ).
fof(f443,definition,
! [X2,X3] :
( sQ73_spl
<=> ( ~ c3_2(X2,X3)
| c1_2(X2,X3)
| c2_2(X2,X3)
| ~ ndr1_1(X2)
| ~ c3_2(X2,a182)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f444,plain,
! [X0,X1] :
( ~ sQ73_spl
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_2(X0,a182)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,plain,
( sQ73_spl
| sQ71_spl
| ~ sQ0_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f77,f334,f159,f436,f443]) ).
fof(f447,definition,
! [X2,X3] :
( sQ74_spl
<=> ( ~ c3_2(X2,X3)
| c1_2(X2,X3)
| c2_2(X2,X3)
| ~ ndr1_1(X2)
| ~ c2_2(X2,a182)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f448,plain,
! [X0,X1] :
( ~ sQ74_spl
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_2(X0,a182)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,plain,
( sQ74_spl
| sQ71_spl
| ~ sQ0_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f78,f334,f159,f436,f447]) ).
fof(f451,definition,
! [X2,X3] :
( sQ75_spl
<=> ( ~ c3_2(X2,X3)
| c1_2(X2,X3)
| c2_2(X2,X3)
| ~ ndr1_1(X2)
| c5_2(X2,a182)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f452,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| c5_2(X0,a182)
| c1_1(X0) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( sQ75_spl
| sQ71_spl
| ~ sQ0_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f79,f334,f159,f436,f451]) ).
fof(f455,plain,
( sQ0_spl
| sQ20_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f80,f165,f236,f159]) ).
fof(f456,definition,
( sQ76_spl
<=> ndr1_1(a183) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( ~ sQ76_spl
| ndr1_1(a183) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,plain,
( sQ76_spl
| sQ20_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f81,f165,f236,f456]) ).
fof(f460,definition,
( sQ77_spl
<=> c1_2(a183,a184) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( ~ sQ77_spl
| c1_2(a183,a184) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,plain,
( sQ77_spl
| sQ20_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f82,f165,f236,f460]) ).
fof(f464,definition,
( sQ78_spl
<=> c5_2(a183,a184) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( sQ78_spl
| ~ c5_2(a183,a184) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( ~ sQ78_spl
| sQ20_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f83,f165,f236,f464]) ).
fof(f468,definition,
( sQ79_spl
<=> c2_1(a183) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( ~ sQ79_spl
| c2_1(a183) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f470,plain,
( sQ79_spl
| ~ c2_1(a183) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,plain,
( sQ79_spl
| sQ20_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f84,f165,f236,f468]) ).
fof(f472,definition,
! [X0] :
( sQ80_spl
<=> ( c2_2(a183,X0)
| c3_2(a183,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f473,plain,
! [X0] :
( ~ sQ80_spl
| c2_2(a183,X0)
| c3_2(a183,X0) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( sQ80_spl
| ~ sQ76_spl
| sQ20_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f85,f165,f236,f456,f472]) ).
fof(f476,definition,
! [X0] :
( sQ81_spl
<=> ( ndr1_1(X0)
| sP5_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f477,plain,
! [X0] :
( ~ sQ81_spl
| ndr1_1(X0)
| sP5_prd(X0) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( sQ81_spl
| ~ sQ0_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f86,f334,f159,f476]) ).
fof(f480,definition,
! [X0] :
( sQ82_spl
<=> ( ~ c1_2(X0,a186)
| sP5_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f481,plain,
! [X0] :
( ~ sQ82_spl
| ~ c1_2(X0,a186)
| sP5_prd(X0) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( sQ82_spl
| ~ sQ0_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f87,f334,f159,f480]) ).
fof(f484,definition,
! [X0] :
( sQ83_spl
<=> ( c4_2(X0,a186)
| sP5_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f485,plain,
! [X0] :
( ~ sQ83_spl
| c4_2(X0,a186)
| sP5_prd(X0) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,plain,
( sQ83_spl
| ~ sQ0_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f88,f334,f159,f484]) ).
fof(f488,definition,
! [X0] :
( sQ84_spl
<=> ( ~ c2_1(X0)
| ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f489,plain,
! [X0] :
( ~ sQ84_spl
| ~ c2_1(X0)
| ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,plain,
( sQ20_spl
| ~ sQ2_spl
| sQ84_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f89,f159,f488,f165,f236]) ).
fof(f492,definition,
! [X0] :
( sQ85_spl
<=> ( ~ c2_1(X0)
| c1_2(X0,a187) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f493,plain,
! [X0] :
( ~ sQ85_spl
| ~ c2_1(X0)
| c1_2(X0,a187) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,plain,
( sQ20_spl
| ~ sQ2_spl
| sQ85_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f90,f159,f492,f165,f236]) ).
fof(f496,definition,
! [X0] :
( sQ86_spl
<=> ( ~ c2_1(X0)
| ~ c5_2(X0,a187) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f497,plain,
! [X0] :
( ~ sQ86_spl
| ~ c2_1(X0)
| ~ c5_2(X0,a187) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,plain,
( sQ20_spl
| ~ sQ2_spl
| sQ86_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f91,f159,f496,f165,f236]) ).
fof(f500,definition,
! [X0] :
( sQ87_spl
<=> ( ~ c2_1(X0)
| c2_2(X0,a187) ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f501,plain,
! [X0] :
( ~ sQ87_spl
| ~ c2_1(X0)
| c2_2(X0,a187) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( sQ20_spl
| ~ sQ2_spl
| sQ87_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f92,f159,f500,f165,f236]) ).
fof(f504,definition,
! [X0,X1] :
( sQ88_spl
<=> ( c1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f505,plain,
! [X0,X1] :
( ~ sQ88_spl
| c1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ ndr1_1(X0)
| c2_1(X0) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f508,definition,
( sQ89_spl
<=> c3_1(a161) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( sQ89_spl
| ~ c3_1(a161) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( sQ88_spl
| ~ sQ0_spl
| ~ sQ89_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f108,f208,f508,f159,f504]) ).
fof(f512,definition,
( sQ90_spl
<=> ndr1_1(a161) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( ~ sQ90_spl
| ndr1_1(a161) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( sQ88_spl
| ~ sQ0_spl
| sQ90_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f109,f208,f512,f159,f504]) ).
fof(f516,definition,
( sQ91_spl
<=> c3_2(a161,a162) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( ~ sQ91_spl
| c3_2(a161,a162) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,plain,
( sQ88_spl
| ~ sQ0_spl
| sQ91_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f110,f208,f516,f159,f504]) ).
fof(f520,definition,
( sQ92_spl
<=> c5_2(a161,a162) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f521,plain,
( ~ sQ92_spl
| c5_2(a161,a162) ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,plain,
( sQ88_spl
| ~ sQ0_spl
| sQ92_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f111,f208,f520,f159,f504]) ).
fof(f524,definition,
( sQ93_spl
<=> c1_2(a161,a162) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( ~ sQ93_spl
| c1_2(a161,a162) ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,plain,
( sQ88_spl
| ~ sQ0_spl
| sQ93_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f112,f208,f524,f159,f504]) ).
fof(f528,definition,
( sQ94_spl
<=> c4_1(a161) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( ~ sQ94_spl
| c4_1(a161) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( sQ88_spl
| ~ sQ0_spl
| sQ94_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f113,f208,f528,f159,f504]) ).
fof(f532,plain,
( ~ sQ94_spl
| ~ sQ93_spl
| ~ sQ92_spl
| ~ sQ91_spl
| ~ sQ90_spl
| sQ89_spl
| ~ sQ0_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f114,f208,f159,f508,f512,f516,f520,f524,f528]) ).
fof(f534,definition,
( sQ95_spl
<=> c2_1(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( sQ95_spl
| ~ c2_1(sK1_skl) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( ~ sQ95_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f116,f208,f534]) ).
fof(f538,definition,
( sQ96_spl
<=> ndr1_1(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f539,plain,
( ~ sQ96_spl
| ndr1_1(sK1_skl) ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f540,plain,
( sQ96_spl
| ~ ndr1_1(sK1_skl) ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,plain,
( sQ96_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f117,f208,f538]) ).
fof(f542,definition,
( sQ97_spl
<=> c4_2(sK1_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ97_spl
| c4_2(sK1_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,plain,
( sQ97_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f118,f208,f542]) ).
fof(f546,definition,
( sQ98_spl
<=> c1_2(sK1_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f547,plain,
( ~ sQ98_spl
| c1_2(sK1_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,plain,
( sQ98_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f119,f208,f546]) ).
fof(f550,definition,
( sQ99_spl
<=> c1_1(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( ~ sQ99_spl
| c1_1(sK1_skl) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f552,plain,
( sQ99_spl
| ~ c1_1(sK1_skl) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,plain,
( ~ sQ99_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f120,f208,f550]) ).
fof(f554,definition,
( sQ100_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f555,plain,
( ~ sQ100_spl
| sP6_prd ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f556,plain,
( sQ100_spl
| ~ sP6_prd ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,plain,
( sQ0_spl
| sQ100_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f124,f295,f554,f159]) ).
fof(f558,definition,
( sQ101_spl
<=> c1_1(a170) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ101_spl
| c1_1(a170) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( ~ sQ101_spl
| sQ100_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f125,f295,f554,f558]) ).
fof(f562,definition,
( sQ102_spl
<=> c3_1(a170) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ102_spl
| sQ100_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f126,f295,f554,f562]) ).
fof(f566,plain,
( ~ sQ100_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f127,f295,f554]) ).
fof(f567,plain,
( sQ102_spl
| sQ101_spl
| ~ sQ0_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f128,f295,f159,f558,f562]) ).
fof(f568,plain,
( sQ0_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f152,f554,f159]) ).
fof(f569,definition,
( sQ103_spl
<=> c3_1(a169) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f570,plain,
( ~ sQ103_spl
| c3_1(a169) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f571,plain,
( sQ103_spl
| ~ c3_1(a169) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( sQ103_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f153,f554,f569]) ).
fof(f573,definition,
( sQ104_spl
<=> ndr1_1(a169) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( ~ sQ104_spl
| ndr1_1(a169) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f575,plain,
( sQ104_spl
| ~ ndr1_1(a169) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,definition,
! [X0] :
( sQ105_spl
<=> ( c5_2(a169,X0)
| c3_2(a169,X0)
| c2_2(a169,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f577,plain,
! [X0] :
( ~ sQ105_spl
| c5_2(a169,X0)
| c3_2(a169,X0)
| c2_2(a169,X0) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,plain,
( sQ105_spl
| ~ sQ104_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f154,f554,f573,f576]) ).
fof(f580,plain,
( sQ104_spl
| ~ sQ103_spl
| ~ sQ0_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f155,f554,f159,f569,f573]) ).
fof(f581,definition,
( sQ106_spl
<=> c2_2(a169,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f583,plain,
( sQ106_spl
| ~ c2_2(a169,sK3_skl) ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( ~ sQ106_spl
| ~ sQ103_spl
| ~ sQ0_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f156,f554,f159,f569,f581]) ).
fof(f585,definition,
( sQ107_spl
<=> c3_2(a169,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f587,plain,
( sQ107_spl
| ~ c3_2(a169,sK3_skl) ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,plain,
( ~ sQ107_spl
| ~ sQ103_spl
| ~ sQ0_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f157,f554,f159,f569,f585]) ).
fof(f589,definition,
( sQ108_spl
<=> c5_2(a169,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f590,plain,
( ~ sQ108_spl
| c5_2(a169,sK3_skl) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f591,plain,
( sQ108_spl
| ~ c5_2(a169,sK3_skl) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,plain,
( ~ sQ108_spl
| ~ sQ103_spl
| ~ sQ0_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f158,f554,f159,f569,f589]) ).
fof(f593,plain,
! [X0] :
( ~ c2_2(X0,a157)
| c3_2(X0,a157)
| sP0_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f99,f101]) ).
fof(f594,plain,
! [X0,X1] :
( ~ sQ1_spl
| c5_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_1(X0)
| c2_2(X0,a157) ),
inference(backward_subsumption_resolution,[status(thm)],[f98,f163]) ).
fof(f595,plain,
! [X0,X1] :
( ~ sQ1_spl
| c5_2(X0,X1)
| c1_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c5_1(X0)
| ~ c3_2(X0,a157) ),
inference(backward_subsumption_resolution,[status(thm)],[f97,f163]) ).
fof(f596,plain,
! [X0,X1] :
( ~ sQ42_spl
| ~ sQ84_spl
| ~ c5_1(X0)
| ~ c2_1(X0)
| c4_2(X0,X1)
| c5_2(X0,X1)
| c2_2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f323,f489]) ).
fof(f597,plain,
! [X0] :
( ~ sQ81_spl
| ~ c3_1(X0)
| ndr1_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f144,f477]) ).
fof(f598,plain,
! [X0] :
( ~ sQ81_spl
| c3_2(X0,a185)
| c2_2(X0,a185)
| sP5_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f147,f477]) ).
fof(f599,plain,
! [X0] :
( ~ sQ47_spl
| sP5_prd(X0)
| sP3_prd(X0)
| c1_1(X0) ),
inference(resolution,[status(thm)],[f342,f148]) ).
fof(f600,plain,
( ~ sQ52_spl
| ~ sQ63_spl
| ~ c5_1(a180)
| c4_1(a180) ),
inference(resolution,[status(thm)],[f406,f361]) ).
fof(f601,plain,
( ~ sQ28_spl
| ~ sQ63_spl
| c1_1(a180)
| ~ c5_1(a180) ),
inference(resolution,[status(thm)],[f406,f268]) ).
fof(f602,definition,
( sQ109_spl
<=> c4_1(a180) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f603,plain,
( ~ sQ109_spl
| c4_1(a180) ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f604,plain,
( sQ109_spl
| ~ c4_1(a180) ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,definition,
( sQ110_spl
<=> c5_1(a180) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f607,plain,
( sQ110_spl
| ~ c5_1(a180) ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f608,plain,
( ~ sQ52_spl
| ~ sQ63_spl
| ~ sQ110_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f600,f602,f605,f405,f360]) ).
fof(f609,definition,
( sQ111_spl
<=> c1_1(a180) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f610,plain,
( ~ sQ111_spl
| c1_1(a180) ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f611,plain,
( sQ111_spl
| ~ c1_1(a180) ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f612,plain,
( ~ sQ28_spl
| ~ sQ63_spl
| sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f601,f605,f609,f405,f267]) ).
fof(f613,plain,
( ~ sQ47_spl
| ~ sQ66_spl
| sP3_prd(a180)
| c1_1(a180) ),
inference(resolution,[status(thm)],[f417,f342]) ).
fof(f614,definition,
( sQ112_spl
<=> sP3_prd(a180) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( ~ sQ112_spl
| sP3_prd(a180) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f616,plain,
( sQ112_spl
| ~ sP3_prd(a180) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,plain,
( ~ sQ47_spl
| ~ sQ66_spl
| sQ112_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f613,f609,f614,f416,f341]) ).
fof(f618,plain,
! [X0,X1] :
( ~ sQ71_spl
| ~ sQ53_spl
| ~ c1_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ c4_2(X0,X1)
| ~ c4_1(X0)
| ~ c1_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f437,f619]) ).
fof(f619,plain,
! [X0] :
( ~ sQ53_spl
| ~ c1_1(X0)
| ndr1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f364,f138]) ).
fof(f620,plain,
( ~ sQ96_spl
| c1_2(sK1_skl,a174)
| c5_2(sK1_skl,a174)
| c2_2(sK1_skl,a174)
| sP3_prd(sK1_skl) ),
inference(resolution,[status(thm)],[f539,f135]) ).
fof(f621,definition,
( sQ113_spl
<=> sP3_prd(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( ~ sQ113_spl
| sP3_prd(sK1_skl) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f623,plain,
( sQ113_spl
| ~ sP3_prd(sK1_skl) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,definition,
( sQ114_spl
<=> c2_2(sK1_skl,a174) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f625,plain,
( ~ sQ114_spl
| c2_2(sK1_skl,a174) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,definition,
( sQ115_spl
<=> c5_2(sK1_skl,a174) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f628,plain,
( ~ sQ115_spl
| c5_2(sK1_skl,a174) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,definition,
( sQ116_spl
<=> c1_2(sK1_skl,a174) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( ~ sQ116_spl
| c1_2(sK1_skl,a174) ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,plain,
( ~ sQ96_spl
| sQ116_spl
| sQ115_spl
| sQ114_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f620,f621,f624,f627,f630,f538]) ).
fof(f634,plain,
( ~ sQ63_spl
| ~ sQ84_spl
| ndr1_1(a180) ),
inference(resolution,[status(thm)],[f489,f406]) ).
fof(f635,plain,
( ~ sQ63_spl
| ~ sQ84_spl
| sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f634,f411]) ).
fof(f636,plain,
( ~ sQ63_spl
| ~ sQ84_spl
| sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f635]) ).
fof(f637,plain,
( ~ sQ84_spl
| ~ sQ79_spl
| ndr1_1(a183) ),
inference(resolution,[status(thm)],[f469,f489]) ).
fof(f638,plain,
( ~ sQ79_spl
| ~ sQ85_spl
| c1_2(a183,a187) ),
inference(resolution,[status(thm)],[f493,f469]) ).
fof(f639,plain,
( ~ sQ63_spl
| ~ sQ85_spl
| c1_2(a180,a187) ),
inference(resolution,[status(thm)],[f493,f406]) ).
fof(f640,plain,
( ~ sQ79_spl
| ~ sQ87_spl
| c2_2(a183,a187) ),
inference(resolution,[status(thm)],[f501,f469]) ).
fof(f641,plain,
( ~ sQ63_spl
| ~ sQ87_spl
| c2_2(a180,a187) ),
inference(resolution,[status(thm)],[f501,f406]) ).
fof(f642,plain,
( sQ108_spl
| ~ sQ105_spl
| c3_2(a169,sK3_skl)
| c2_2(a169,sK3_skl) ),
inference(resolution,[status(thm)],[f577,f591]) ).
fof(f643,plain,
( ~ sQ86_spl
| ~ sQ105_spl
| ~ c2_1(a169)
| c3_2(a169,a187)
| c2_2(a169,a187) ),
inference(resolution,[status(thm)],[f577,f497]) ).
fof(f644,plain,
( ~ sQ105_spl
| ~ sP3_prd(a169)
| c3_2(a169,a174)
| c2_2(a169,a174) ),
inference(resolution,[status(thm)],[f577,f133]) ).
fof(f645,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ105_spl
| c2_2(a169,X0)
| ~ ndr1_1(a169)
| c3_1(a169)
| c1_1(a169)
| c3_2(a169,X0)
| c2_2(a169,X0) ),
inference(resolution,[status(thm)],[f577,f185]) ).
fof(f646,plain,
( sQ108_spl
| ~ sQ105_spl
| sQ107_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f642,f581,f585,f576,f589]) ).
fof(f647,definition,
( sQ117_spl
<=> c2_2(a169,a187) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f648,plain,
( ~ sQ117_spl
| c2_2(a169,a187) ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f650,definition,
( sQ118_spl
<=> c3_2(a169,a187) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f651,plain,
( ~ sQ118_spl
| c3_2(a169,a187) ),
inference(component_clause,[status(thm)],[f650]) ).
fof(f653,definition,
( sQ119_spl
<=> c2_1(a169) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f655,plain,
( sQ119_spl
| ~ c2_1(a169) ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,plain,
( ~ sQ86_spl
| ~ sQ105_spl
| ~ sQ119_spl
| sQ118_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f643,f647,f650,f653,f576,f496]) ).
fof(f657,definition,
( sQ120_spl
<=> c2_2(a169,a174) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f658,plain,
( ~ sQ120_spl
| c2_2(a169,a174) ),
inference(component_clause,[status(thm)],[f657]) ).
fof(f660,definition,
( sQ121_spl
<=> c3_2(a169,a174) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f661,plain,
( ~ sQ121_spl
| c3_2(a169,a174) ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f663,definition,
( sQ122_spl
<=> sP3_prd(a169) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f664,plain,
( ~ sQ122_spl
| sP3_prd(a169) ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f665,plain,
( sQ122_spl
| ~ sP3_prd(a169) ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f666,plain,
( ~ sQ105_spl
| ~ sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f644,f657,f660,f663,f576]) ).
fof(f667,definition,
! [X0] :
( sQ123_spl
<=> ( c2_2(a169,X0)
| c3_2(a169,X0)
| c2_2(a169,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f668,plain,
! [X0] :
( ~ sQ123_spl
| c2_2(a169,X0)
| c3_2(a169,X0)
| c2_2(a169,X0) ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,definition,
( sQ124_spl
<=> c1_1(a169) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f671,plain,
( ~ sQ124_spl
| c1_1(a169) ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f673,plain,
( ~ sQ7_spl
| ~ sQ105_spl
| ~ sQ104_spl
| sQ103_spl
| sQ124_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f645,f667,f670,f569,f573,f576,f184]) ).
fof(f674,plain,
! [X0] :
( ~ sQ123_spl
| c3_2(a169,X0)
| c2_2(a169,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f668]) ).
fof(f675,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ sQ41_spl
| c2_2(X0,X1)
| ~ c5_2(X0,X1)
| c3_1(X0)
| c1_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f185,f320]) ).
fof(f676,plain,
! [X0,X1] :
( ~ sQ88_spl
| ~ sQ41_spl
| c1_1(X0)
| ~ c1_2(X0,X1)
| ~ c4_2(X0,X1)
| c2_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f505,f320]) ).
fof(f677,plain,
! [X0] :
( ~ sQ41_spl
| ~ c2_2(X0,a176)
| c4_2(X0,a176)
| sP4_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f141,f320]) ).
fof(f678,plain,
! [X0] :
( ~ sQ41_spl
| c1_2(X0,a174)
| c5_2(X0,a174)
| c2_2(X0,a174)
| sP3_prd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f135,f320]) ).
fof(f679,plain,
( sQ50_spl
| ~ sQ41_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f355,f320]) ).
fof(f680,plain,
( sQ68_spl
| ~ sQ41_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f427,f320]) ).
fof(f681,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ41_spl
| c5_2(X0,X1)
| c1_2(X0,X1)
| ~ c5_1(X0)
| ~ c3_2(X0,a157) ),
inference(backward_subsumption_resolution,[status(thm)],[f595,f320]) ).
fof(f682,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ41_spl
| c5_2(X0,X1)
| c1_2(X0,X1)
| ~ c5_1(X0)
| c2_2(X0,a157) ),
inference(backward_subsumption_resolution,[status(thm)],[f594,f320]) ).
fof(f683,plain,
! [X0,X1] :
( ~ sQ73_spl
| ~ sQ41_spl
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ c3_2(X0,a182)
| c1_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f444,f320]) ).
fof(f684,plain,
! [X0,X1] :
( ~ sQ74_spl
| ~ sQ41_spl
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| c2_2(X0,X1)
| ~ c2_2(X0,a182)
| c1_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f448,f320]) ).
fof(f685,plain,
! [X0,X1] :
( ~ sQ75_spl
| ~ sQ41_spl
| ~ c3_2(X0,X1)
| c1_2(X0,X1)
| c2_2(X0,X1)
| c5_2(X0,a182)
| c1_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f452,f320]) ).
fof(f686,plain,
( sQ5_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f179,f320]) ).
fof(f687,plain,
( sQ5_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f686]) ).
fof(f688,plain,
( ~ sQ40_spl
| ~ sQ83_spl
| ~ c5_2(a171,a186)
| sP5_prd(a171) ),
inference(resolution,[status(thm)],[f485,f316]) ).
fof(f689,definition,
( sQ125_spl
<=> sP5_prd(a171) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f690,plain,
( ~ sQ125_spl
| sP5_prd(a171) ),
inference(component_clause,[status(thm)],[f689]) ).
fof(f692,definition,
( sQ126_spl
<=> c5_2(a171,a186) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f694,plain,
( sQ126_spl
| ~ c5_2(a171,a186) ),
inference(component_clause,[status(thm)],[f692]) ).
fof(f695,plain,
( ~ sQ40_spl
| ~ sQ83_spl
| ~ sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f688,f689,f692,f484,f315]) ).
fof(f696,plain,
( ~ sQ80_spl
| ~ c3_1(a183)
| ~ sP5_prd(a183)
| c3_2(a183,a185) ),
inference(resolution,[status(thm)],[f473,f145]) ).
fof(f697,plain,
( ~ sQ80_spl
| ~ sP3_prd(a183)
| c3_2(a183,a174) ),
inference(resolution,[status(thm)],[f473,f132]) ).
fof(f698,definition,
( sQ127_spl
<=> c3_2(a183,a185) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f699,plain,
( ~ sQ127_spl
| c3_2(a183,a185) ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f701,definition,
( sQ128_spl
<=> sP5_prd(a183) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f702,plain,
( ~ sQ128_spl
| sP5_prd(a183) ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f703,plain,
( sQ128_spl
| ~ sP5_prd(a183) ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f704,definition,
( sQ129_spl
<=> c3_1(a183) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f706,plain,
( sQ129_spl
| ~ c3_1(a183) ),
inference(component_clause,[status(thm)],[f704]) ).
fof(f707,plain,
( ~ sQ80_spl
| ~ sQ129_spl
| ~ sQ128_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f696,f698,f701,f704,f472]) ).
fof(f708,definition,
( sQ130_spl
<=> c3_2(a183,a174) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f709,plain,
( ~ sQ130_spl
| c3_2(a183,a174) ),
inference(component_clause,[status(thm)],[f708]) ).
fof(f711,definition,
( sQ131_spl
<=> sP3_prd(a183) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( sQ131_spl
| ~ sP3_prd(a183) ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f714,plain,
( ~ sQ80_spl
| ~ sQ131_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f697,f708,f711,f472]) ).
fof(f715,plain,
( ~ sQ87_spl
| ~ sQ49_spl
| c2_2(a175,a187) ),
inference(resolution,[status(thm)],[f350,f501]) ).
fof(f716,plain,
( ~ sQ85_spl
| ~ sQ49_spl
| c1_2(a175,a187) ),
inference(resolution,[status(thm)],[f350,f493]) ).
fof(f717,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ42_spl
| ~ sQ84_spl
| ~ c5_1(a175)
| c4_2(a175,X0)
| c5_2(a175,X0)
| c2_2(a175,X0) ),
inference(resolution,[status(thm)],[f596,f350]) ).
fof(f718,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ42_spl
| ~ sQ84_spl
| ~ c5_1(a183)
| c4_2(a183,X0)
| c5_2(a183,X0)
| c2_2(a183,X0) ),
inference(resolution,[status(thm)],[f596,f469]) ).
fof(f719,plain,
! [X0] :
( ~ sQ63_spl
| ~ sQ42_spl
| ~ sQ84_spl
| ~ c5_1(a180)
| c4_2(a180,X0)
| c5_2(a180,X0)
| c2_2(a180,X0) ),
inference(resolution,[status(thm)],[f596,f406]) ).
fof(f720,definition,
! [X0] :
( sQ132_spl
<=> ( c4_2(a175,X0)
| c5_2(a175,X0)
| c2_2(a175,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f721,plain,
! [X0] :
( ~ sQ132_spl
| c4_2(a175,X0)
| c5_2(a175,X0)
| c2_2(a175,X0) ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,definition,
( sQ133_spl
<=> c5_1(a175) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f725,plain,
( sQ133_spl
| ~ c5_1(a175) ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,plain,
( ~ sQ49_spl
| ~ sQ42_spl
| ~ sQ84_spl
| ~ sQ133_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f717,f720,f723,f488,f322,f349]) ).
fof(f727,definition,
! [X0] :
( sQ134_spl
<=> ( c4_2(a183,X0)
| c5_2(a183,X0)
| c2_2(a183,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f728,plain,
! [X0] :
( ~ sQ134_spl
| c4_2(a183,X0)
| c5_2(a183,X0)
| c2_2(a183,X0) ),
inference(component_clause,[status(thm)],[f727]) ).
fof(f730,definition,
( sQ135_spl
<=> c5_1(a183) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f732,plain,
( sQ135_spl
| ~ c5_1(a183) ),
inference(component_clause,[status(thm)],[f730]) ).
fof(f733,plain,
( ~ sQ79_spl
| ~ sQ42_spl
| ~ sQ84_spl
| ~ sQ135_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f718,f727,f730,f488,f322,f468]) ).
fof(f734,definition,
! [X0] :
( sQ136_spl
<=> ( c4_2(a180,X0)
| c5_2(a180,X0)
| c2_2(a180,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f735,plain,
! [X0] :
( ~ sQ136_spl
| c4_2(a180,X0)
| c5_2(a180,X0)
| c2_2(a180,X0) ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,plain,
( ~ sQ63_spl
| ~ sQ42_spl
| ~ sQ84_spl
| ~ sQ110_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f719,f734,f605,f488,f322,f405]) ).
fof(f739,plain,
( ~ sQ57_spl
| ~ sQ62_spl
| ~ c3_1(a178)
| ~ c5_1(a178) ),
inference(resolution,[status(thm)],[f401,f381]) ).
fof(f740,plain,
( ~ sQ109_spl
| ~ sQ62_spl
| ~ c3_1(a180)
| ~ c5_1(a180) ),
inference(resolution,[status(thm)],[f401,f603]) ).
fof(f741,definition,
( sQ137_spl
<=> c5_1(a178) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f743,plain,
( sQ137_spl
| ~ c5_1(a178) ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,definition,
( sQ138_spl
<=> c3_1(a178) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f745,plain,
( ~ sQ138_spl
| c3_1(a178) ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f746,plain,
( sQ138_spl
| ~ c3_1(a178) ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,plain,
( ~ sQ57_spl
| ~ sQ62_spl
| ~ sQ138_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f739,f741,f744,f400,f380]) ).
fof(f748,plain,
( ~ sQ109_spl
| ~ sQ62_spl
| ~ sQ66_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f740,f605,f416,f400,f602]) ).
fof(f749,plain,
( ~ sQ61_spl
| ~ sP4_prd(a178)
| c3_2(a178,a176) ),
inference(resolution,[status(thm)],[f397,f139]) ).
fof(f750,definition,
( sQ139_spl
<=> c3_2(a178,a176) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f751,plain,
( ~ sQ139_spl
| c3_2(a178,a176) ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,definition,
( sQ140_spl
<=> sP4_prd(a178) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f755,plain,
( sQ140_spl
| ~ sP4_prd(a178) ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,plain,
( ~ sQ61_spl
| ~ sQ140_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f749,f750,f753,f396]) ).
fof(f757,plain,
( ~ sQ61_spl
| sQ59_spl
| c3_2(a178,a179) ),
inference(resolution,[status(thm)],[f390,f397]) ).
fof(f758,plain,
( ~ sQ48_spl
| ~ sQ56_spl
| c3_2(a175,a177)
| sP4_prd(a175) ),
inference(resolution,[status(thm)],[f376,f346]) ).
fof(f759,plain,
( ~ sQ111_spl
| ~ sQ56_spl
| c3_2(a180,a177)
| sP4_prd(a180) ),
inference(resolution,[status(thm)],[f376,f610]) ).
fof(f760,plain,
( ~ sQ21_spl
| ~ sQ56_spl
| c3_2(a165,a177)
| sP4_prd(a165) ),
inference(resolution,[status(thm)],[f376,f241]) ).
fof(f761,plain,
( ~ sQ70_spl
| ~ sQ56_spl
| c3_2(a181,a177)
| sP4_prd(a181) ),
inference(resolution,[status(thm)],[f376,f433]) ).
fof(f762,definition,
( sQ141_spl
<=> sP4_prd(a175) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( ~ sQ141_spl
| sP4_prd(a175) ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f764,plain,
( sQ141_spl
| ~ sP4_prd(a175) ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,definition,
( sQ142_spl
<=> c3_2(a175,a177) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f766,plain,
( ~ sQ142_spl
| c3_2(a175,a177) ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,plain,
( ~ sQ48_spl
| ~ sQ56_spl
| sQ142_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f758,f762,f765,f375,f345]) ).
fof(f769,definition,
( sQ143_spl
<=> sP4_prd(a180) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f770,plain,
( ~ sQ143_spl
| sP4_prd(a180) ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f771,plain,
( sQ143_spl
| ~ sP4_prd(a180) ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f772,definition,
( sQ144_spl
<=> c3_2(a180,a177) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f773,plain,
( ~ sQ144_spl
| c3_2(a180,a177) ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( ~ sQ111_spl
| ~ sQ56_spl
| sQ144_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f759,f769,f772,f375,f609]) ).
fof(f776,definition,
( sQ145_spl
<=> sP4_prd(a165) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f777,plain,
( ~ sQ145_spl
| sP4_prd(a165) ),
inference(component_clause,[status(thm)],[f776]) ).
fof(f779,definition,
( sQ146_spl
<=> c3_2(a165,a177) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f780,plain,
( ~ sQ146_spl
| c3_2(a165,a177) ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f782,plain,
( ~ sQ21_spl
| ~ sQ56_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f760,f776,f779,f375,f240]) ).
fof(f783,definition,
( sQ147_spl
<=> sP4_prd(a181) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f784,plain,
( ~ sQ147_spl
| sP4_prd(a181) ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f785,plain,
( sQ147_spl
| ~ sP4_prd(a181) ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f786,definition,
( sQ148_spl
<=> c3_2(a181,a177) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f787,plain,
( ~ sQ148_spl
| c3_2(a181,a177) ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,plain,
( ~ sQ70_spl
| ~ sQ56_spl
| sQ148_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f761,f783,f786,f375,f432]) ).
fof(f790,plain,
( ~ sQ48_spl
| ~ sQ55_spl
| c4_2(a175,a177)
| sP4_prd(a175) ),
inference(resolution,[status(thm)],[f372,f346]) ).
fof(f791,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| c4_2(a180,a177)
| sP4_prd(a180) ),
inference(resolution,[status(thm)],[f372,f610]) ).
fof(f792,plain,
( ~ sQ21_spl
| ~ sQ55_spl
| c4_2(a165,a177)
| sP4_prd(a165) ),
inference(resolution,[status(thm)],[f372,f241]) ).
fof(f793,plain,
( ~ sQ70_spl
| ~ sQ55_spl
| c4_2(a181,a177)
| sP4_prd(a181) ),
inference(resolution,[status(thm)],[f372,f433]) ).
fof(f794,definition,
( sQ149_spl
<=> c4_2(a175,a177) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( ~ sQ149_spl
| c4_2(a175,a177) ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,plain,
( ~ sQ48_spl
| ~ sQ55_spl
| sQ149_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f790,f762,f794,f371,f345]) ).
fof(f798,definition,
( sQ150_spl
<=> c4_2(a180,a177) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f799,plain,
( ~ sQ150_spl
| c4_2(a180,a177) ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| sQ150_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f791,f769,f798,f371,f609]) ).
fof(f802,definition,
( sQ151_spl
<=> c4_2(a165,a177) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f803,plain,
( ~ sQ151_spl
| c4_2(a165,a177) ),
inference(component_clause,[status(thm)],[f802]) ).
fof(f805,plain,
( ~ sQ21_spl
| ~ sQ55_spl
| sQ151_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f792,f776,f802,f371,f240]) ).
fof(f806,definition,
( sQ152_spl
<=> c4_2(a181,a177) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f807,plain,
( ~ sQ152_spl
| c4_2(a181,a177) ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,plain,
( ~ sQ70_spl
| ~ sQ55_spl
| sQ152_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f793,f783,f806,f371,f432]) ).
fof(f810,plain,
( ~ sQ124_spl
| ~ sQ54_spl
| c2_2(a169,a177)
| sP4_prd(a169) ),
inference(resolution,[status(thm)],[f368,f671]) ).
fof(f811,plain,
( ~ sQ111_spl
| ~ sQ54_spl
| c2_2(a180,a177)
| sP4_prd(a180) ),
inference(resolution,[status(thm)],[f368,f610]) ).
fof(f812,definition,
( sQ153_spl
<=> sP4_prd(a169) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f813,plain,
( ~ sQ153_spl
| sP4_prd(a169) ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f814,plain,
( sQ153_spl
| ~ sP4_prd(a169) ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f815,definition,
( sQ154_spl
<=> c2_2(a169,a177) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f816,plain,
( ~ sQ154_spl
| c2_2(a169,a177) ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f818,plain,
( ~ sQ124_spl
| ~ sQ54_spl
| sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f810,f812,f815,f367,f670]) ).
fof(f819,definition,
( sQ155_spl
<=> c2_2(a180,a177) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f820,plain,
( ~ sQ155_spl
| c2_2(a180,a177) ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f822,plain,
( ~ sQ111_spl
| ~ sQ54_spl
| sQ155_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f811,f769,f819,f367,f609]) ).
fof(f823,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ71_spl
| ~ sQ53_spl
| ~ c1_2(a178,X0)
| ~ c3_2(a178,X0)
| ~ c4_2(a178,X0)
| ~ c1_1(a178) ),
inference(resolution,[status(thm)],[f618,f381]) ).
fof(f824,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ71_spl
| ~ sQ53_spl
| ~ c1_2(a180,X0)
| ~ c3_2(a180,X0)
| ~ c4_2(a180,X0)
| ~ c1_1(a180) ),
inference(resolution,[status(thm)],[f618,f603]) ).
fof(f825,definition,
( sQ156_spl
<=> c1_1(a178) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f826,plain,
( ~ sQ156_spl
| c1_1(a178) ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f827,plain,
( sQ156_spl
| ~ c1_1(a178) ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,definition,
! [X0] :
( sQ157_spl
<=> ( ~ c1_2(a178,X0)
| ~ c3_2(a178,X0)
| ~ c4_2(a178,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f829,plain,
! [X0] :
( ~ sQ157_spl
| ~ c1_2(a178,X0)
| ~ c3_2(a178,X0)
| ~ c4_2(a178,X0) ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f831,plain,
( ~ sQ57_spl
| ~ sQ71_spl
| ~ sQ53_spl
| sQ157_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f823,f825,f828,f363,f436,f380]) ).
fof(f832,definition,
! [X0] :
( sQ158_spl
<=> ( ~ c1_2(a180,X0)
| ~ c3_2(a180,X0)
| ~ c4_2(a180,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f833,plain,
! [X0] :
( ~ sQ158_spl
| ~ c1_2(a180,X0)
| ~ c3_2(a180,X0)
| ~ c4_2(a180,X0) ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f835,plain,
( ~ sQ109_spl
| ~ sQ71_spl
| ~ sQ53_spl
| sQ158_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f824,f609,f832,f363,f436,f602]) ).
fof(f836,plain,
( ~ sQ30_spl
| ~ sP4_prd(a167)
| ~ c1_2(a167,a176)
| ~ c2_2(a167,a176) ),
inference(resolution,[status(thm)],[f275,f139]) ).
fof(f837,definition,
( sQ159_spl
<=> c2_2(a167,a176) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( sQ159_spl
| ~ c2_2(a167,a176) ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,definition,
( sQ160_spl
<=> c1_2(a167,a176) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f842,plain,
( sQ160_spl
| ~ c1_2(a167,a176) ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f843,definition,
( sQ161_spl
<=> sP4_prd(a167) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f845,plain,
( sQ161_spl
| ~ sP4_prd(a167) ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,plain,
( ~ sQ30_spl
| ~ sQ161_spl
| ~ sQ160_spl
| ~ sQ159_spl ),
inference(split_clause,[status(thm)],[f836,f837,f840,f843,f274]) ).
fof(f847,plain,
( ~ sQ24_spl
| ~ sQ26_spl
| c4_2(a165,a166)
| c5_2(a165,a166) ),
inference(resolution,[status(thm)],[f261,f253]) ).
fof(f848,definition,
( sQ162_spl
<=> c4_2(a165,a166) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( ~ sQ162_spl
| c4_2(a165,a166) ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,plain,
( ~ sQ24_spl
| ~ sQ26_spl
| sQ162_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f847,f256,f848,f260,f252]) ).
fof(f852,plain,
( sQ9_spl
| sP5_prd(a159) ),
inference(resolution,[status(thm)],[f194,f148]) ).
fof(f853,plain,
( ~ sQ6_spl
| ~ sP4_prd(a158)
| c5_2(a158,a176)
| c1_2(a158,a176) ),
inference(resolution,[status(thm)],[f181,f139]) ).
fof(f854,definition,
( sQ163_spl
<=> c1_2(a158,a176) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f855,plain,
( ~ sQ163_spl
| c1_2(a158,a176) ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f857,definition,
( sQ164_spl
<=> c5_2(a158,a176) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f858,plain,
( ~ sQ164_spl
| c5_2(a158,a176) ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f860,definition,
( sQ165_spl
<=> sP4_prd(a158) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f862,plain,
( sQ165_spl
| ~ sP4_prd(a158) ),
inference(component_clause,[status(thm)],[f860]) ).
fof(f863,plain,
( ~ sQ6_spl
| ~ sQ165_spl
| sQ164_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f853,f854,f857,f860,f180]) ).
fof(f864,plain,
( ~ sQ49_spl
| ~ sQ28_spl
| c1_1(a175)
| ~ c5_1(a175) ),
inference(resolution,[status(thm)],[f268,f350]) ).
fof(f865,plain,
( ~ sQ79_spl
| ~ sQ28_spl
| c1_1(a183)
| ~ c5_1(a183) ),
inference(resolution,[status(thm)],[f268,f469]) ).
fof(f866,plain,
( sQ99_spl
| ~ sQ28_spl
| ~ c2_1(sK1_skl)
| ~ c5_1(sK1_skl) ),
inference(resolution,[status(thm)],[f268,f552]) ).
fof(f867,plain,
( ~ sQ49_spl
| ~ sQ28_spl
| sQ48_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f864,f723,f345,f267,f349]) ).
fof(f868,definition,
( sQ166_spl
<=> c1_1(a183) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f869,plain,
( ~ sQ166_spl
| c1_1(a183) ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,plain,
( ~ sQ79_spl
| ~ sQ28_spl
| sQ166_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f865,f730,f868,f267,f468]) ).
fof(f872,definition,
( sQ167_spl
<=> c5_1(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f874,plain,
( sQ167_spl
| ~ c5_1(sK1_skl) ),
inference(component_clause,[status(thm)],[f872]) ).
fof(f875,plain,
( sQ99_spl
| ~ sQ28_spl
| ~ sQ95_spl
| ~ sQ167_spl ),
inference(split_clause,[status(thm)],[f866,f872,f534,f267,f550]) ).
fof(f876,plain,
( ~ sQ3_spl
| ~ sQ47_spl
| sP3_prd(a158)
| c1_1(a158) ),
inference(resolution,[status(thm)],[f342,f170]) ).
fof(f877,plain,
( ~ sQ14_spl
| ~ sQ47_spl
| sP3_prd(a163)
| c1_1(a163) ),
inference(resolution,[status(thm)],[f342,f213]) ).
fof(f878,plain,
( ~ sQ103_spl
| ~ sQ47_spl
| sP3_prd(a169)
| c1_1(a169) ),
inference(resolution,[status(thm)],[f342,f570]) ).
fof(f880,definition,
( sQ168_spl
<=> c1_1(a158) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f881,plain,
( ~ sQ168_spl
| c1_1(a158) ),
inference(component_clause,[status(thm)],[f880]) ).
fof(f883,definition,
( sQ169_spl
<=> sP3_prd(a158) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f884,plain,
( ~ sQ169_spl
| sP3_prd(a158) ),
inference(component_clause,[status(thm)],[f883]) ).
fof(f886,plain,
( ~ sQ3_spl
| ~ sQ47_spl
| sQ169_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f876,f880,f883,f341,f169]) ).
fof(f887,definition,
( sQ170_spl
<=> c1_1(a163) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f888,plain,
( ~ sQ170_spl
| c1_1(a163) ),
inference(component_clause,[status(thm)],[f887]) ).
fof(f890,definition,
( sQ171_spl
<=> sP3_prd(a163) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f891,plain,
( ~ sQ171_spl
| sP3_prd(a163) ),
inference(component_clause,[status(thm)],[f890]) ).
fof(f892,plain,
( sQ171_spl
| ~ sP3_prd(a163) ),
inference(component_clause,[status(thm)],[f890]) ).
fof(f893,plain,
( ~ sQ14_spl
| ~ sQ47_spl
| sQ171_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f877,f887,f890,f341,f212]) ).
fof(f894,plain,
( ~ sQ103_spl
| ~ sQ47_spl
| sQ122_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f878,f670,f663,f341,f569]) ).
fof(f895,plain,
( ~ sQ113_spl
| ndr1_1(sK1_skl) ),
inference(resolution,[status(thm)],[f131,f622]) ).
fof(f896,plain,
( ~ sQ112_spl
| ndr1_1(a180) ),
inference(resolution,[status(thm)],[f131,f615]) ).
fof(f897,plain,
( ~ sQ3_spl
| ~ sQ81_spl
| ndr1_1(a158) ),
inference(resolution,[status(thm)],[f597,f170]) ).
fof(f898,plain,
( ~ sQ14_spl
| ~ sQ81_spl
| ndr1_1(a163) ),
inference(resolution,[status(thm)],[f597,f213]) ).
fof(f899,plain,
( ~ sQ103_spl
| ~ sQ81_spl
| ndr1_1(a169) ),
inference(resolution,[status(thm)],[f597,f570]) ).
fof(f901,plain,
( ~ sQ103_spl
| ~ sQ81_spl
| sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f899,f575]) ).
fof(f902,plain,
( ~ sQ103_spl
| ~ sQ81_spl
| sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f901]) ).
fof(f903,plain,
( sQ68_spl
| ~ sQ81_spl
| sP5_prd(a181) ),
inference(resolution,[status(thm)],[f477,f427]) ).
fof(f904,plain,
( sQ50_spl
| ~ sQ81_spl
| sP5_prd(a175) ),
inference(resolution,[status(thm)],[f477,f355]) ).
fof(f905,plain,
( ~ sQ17_spl
| ~ sQ7_spl
| c2_2(a163,a164)
| ~ ndr1_1(a163)
| c3_1(a163)
| c1_1(a163) ),
inference(resolution,[status(thm)],[f185,f225]) ).
fof(f906,plain,
( ~ sQ60_spl
| ~ sQ7_spl
| c2_2(a178,a179)
| ~ ndr1_1(a178)
| c3_1(a178)
| c1_1(a178) ),
inference(resolution,[status(thm)],[f185,f393]) ).
fof(f907,definition,
( sQ172_spl
<=> c2_2(a163,a164) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f908,plain,
( ~ sQ172_spl
| c2_2(a163,a164) ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f910,plain,
( ~ sQ17_spl
| ~ sQ7_spl
| sQ172_spl
| ~ sQ15_spl
| sQ14_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f905,f887,f212,f216,f907,f184,f224]) ).
fof(f911,definition,
( sQ173_spl
<=> c2_2(a178,a179) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f912,plain,
( ~ sQ173_spl
| c2_2(a178,a179) ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f914,plain,
( ~ sQ60_spl
| ~ sQ7_spl
| sQ173_spl
| ~ sQ58_spl
| sQ138_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f906,f825,f744,f384,f911,f184,f392]) ).
fof(f915,plain,
( ~ sQ34_spl
| ~ sQ88_spl
| c1_1(a167)
| ~ c1_2(a167,a168)
| ~ ndr1_1(a167)
| c2_1(a167) ),
inference(resolution,[status(thm)],[f505,f292]) ).
fof(f916,plain,
( ~ sQ97_spl
| ~ sQ88_spl
| c1_1(sK1_skl)
| ~ c1_2(sK1_skl,sK2_skl)
| ~ ndr1_1(sK1_skl)
| c2_1(sK1_skl) ),
inference(resolution,[status(thm)],[f505,f543]) ).
fof(f917,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ88_spl
| sP5_prd(X0)
| c1_1(X0)
| ~ c1_2(X0,a186)
| ~ ndr1_1(X0)
| c2_1(X0) ),
inference(resolution,[status(thm)],[f505,f485]) ).
fof(f918,definition,
( sQ174_spl
<=> c2_1(a167) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f919,plain,
( ~ sQ174_spl
| c2_1(a167) ),
inference(component_clause,[status(thm)],[f918]) ).
fof(f920,plain,
( sQ174_spl
| ~ c2_1(a167) ),
inference(component_clause,[status(thm)],[f918]) ).
fof(f921,definition,
( sQ175_spl
<=> c1_2(a167,a168) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f923,plain,
( sQ175_spl
| ~ c1_2(a167,a168) ),
inference(component_clause,[status(thm)],[f921]) ).
fof(f924,definition,
( sQ176_spl
<=> c1_1(a167) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f925,plain,
( ~ sQ176_spl
| c1_1(a167) ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f927,plain,
( ~ sQ34_spl
| ~ sQ88_spl
| sQ176_spl
| ~ sQ175_spl
| ~ sQ29_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f915,f918,f271,f921,f924,f504,f291]) ).
fof(f928,plain,
( ~ sQ97_spl
| ~ sQ88_spl
| sQ99_spl
| ~ sQ98_spl
| ~ sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f916,f534,f538,f546,f550,f504,f542]) ).
fof(f929,plain,
( sQ96_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f540,f895]) ).
fof(f930,plain,
( sQ96_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f929]) ).
fof(f931,plain,
( ~ sQ10_spl
| c1_2(a159,a174)
| c5_2(a159,a174)
| c2_2(a159,a174)
| sP3_prd(a159) ),
inference(resolution,[status(thm)],[f135,f197]) ).
fof(f932,plain,
! [X0] :
( ~ sQ81_spl
| sP5_prd(X0)
| c1_2(X0,a174)
| c5_2(X0,a174)
| c2_2(X0,a174)
| sP3_prd(X0) ),
inference(resolution,[status(thm)],[f135,f477]) ).
fof(f933,definition,
( sQ177_spl
<=> sP3_prd(a159) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f934,plain,
( ~ sQ177_spl
| sP3_prd(a159) ),
inference(component_clause,[status(thm)],[f933]) ).
fof(f935,plain,
( sQ177_spl
| ~ sP3_prd(a159) ),
inference(component_clause,[status(thm)],[f933]) ).
fof(f936,definition,
( sQ178_spl
<=> c2_2(a159,a174) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f937,plain,
( ~ sQ178_spl
| c2_2(a159,a174) ),
inference(component_clause,[status(thm)],[f936]) ).
fof(f939,definition,
( sQ179_spl
<=> c5_2(a159,a174) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f940,plain,
( ~ sQ179_spl
| c5_2(a159,a174) ),
inference(component_clause,[status(thm)],[f939]) ).
fof(f942,definition,
( sQ180_spl
<=> c1_2(a159,a174) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f943,plain,
( ~ sQ180_spl
| c1_2(a159,a174) ),
inference(component_clause,[status(thm)],[f942]) ).
fof(f945,plain,
( ~ sQ10_spl
| sQ180_spl
| sQ179_spl
| sQ178_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f931,f933,f936,f939,f942,f196]) ).
fof(f946,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ1_spl
| c5_2(a158,X0)
| c1_2(a158,X0)
| ~ ndr1_1(a158)
| c2_2(a158,a157) ),
inference(resolution,[status(thm)],[f594,f174]) ).
fof(f947,definition,
( sQ181_spl
<=> c2_2(a158,a157) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f948,plain,
( ~ sQ181_spl
| c2_2(a158,a157) ),
inference(component_clause,[status(thm)],[f947]) ).
fof(f950,definition,
! [X0] :
( sQ182_spl
<=> ( c5_2(a158,X0)
| c1_2(a158,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f951,plain,
! [X0] :
( ~ sQ182_spl
| c5_2(a158,X0)
| c1_2(a158,X0) ),
inference(component_clause,[status(thm)],[f950]) ).
fof(f953,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| sQ182_spl
| ~ sQ5_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f946,f947,f177,f950,f162,f173]) ).
fof(f954,plain,
( sQ50_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f679]) ).
fof(f955,plain,
( ~ sQ33_spl
| ~ sQ75_spl
| c1_2(a167,a168)
| c2_2(a167,a168)
| ~ ndr1_1(a167)
| c5_2(a167,a182)
| c1_1(a167) ),
inference(resolution,[status(thm)],[f452,f288]) ).
fof(f956,plain,
( ~ sQ39_spl
| ~ sQ75_spl
| c1_2(a171,a172)
| c2_2(a171,a172)
| ~ ndr1_1(a171)
| c5_2(a171,a182)
| c1_1(a171) ),
inference(resolution,[status(thm)],[f452,f312]) ).
fof(f957,definition,
( sQ183_spl
<=> c5_2(a167,a182) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f958,plain,
( ~ sQ183_spl
| c5_2(a167,a182) ),
inference(component_clause,[status(thm)],[f957]) ).
fof(f960,plain,
( ~ sQ33_spl
| ~ sQ75_spl
| sQ175_spl
| sQ32_spl
| ~ sQ29_spl
| sQ183_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f955,f924,f957,f271,f283,f921,f451,f287]) ).
fof(f961,definition,
( sQ184_spl
<=> c1_1(a171) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( ~ sQ184_spl
| c1_1(a171) ),
inference(component_clause,[status(thm)],[f961]) ).
fof(f964,definition,
( sQ185_spl
<=> c5_2(a171,a182) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f965,plain,
( ~ sQ185_spl
| c5_2(a171,a182) ),
inference(component_clause,[status(thm)],[f964]) ).
fof(f967,definition,
( sQ186_spl
<=> c2_2(a171,a172) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f968,plain,
( ~ sQ186_spl
| c2_2(a171,a172) ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f970,plain,
( ~ sQ39_spl
| ~ sQ75_spl
| sQ38_spl
| sQ186_spl
| ~ sQ37_spl
| sQ185_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f956,f961,f964,f303,f967,f307,f451,f311]) ).
fof(f971,plain,
( ~ sQ81_spl
| sQ58_spl
| sP5_prd(a178) ),
inference(resolution,[status(thm)],[f386,f477]) ).
fof(f973,plain,
( sQ103_spl
| sP5_prd(a169) ),
inference(resolution,[status(thm)],[f571,f148]) ).
fof(f974,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ88_spl
| sP5_prd(X0)
| c1_1(X0)
| ~ c1_2(X0,a186)
| ~ ndr1_1(X0)
| c2_1(X0) ),
inference(resolution,[status(thm)],[f505,f485]) ).
fof(f975,plain,
( sQ129_spl
| sP5_prd(a183) ),
inference(resolution,[status(thm)],[f706,f148]) ).
fof(f976,plain,
( sQ129_spl
| sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f975,f703]) ).
fof(f977,plain,
( sQ129_spl
| sQ128_spl ),
inference(contradiction_clause,[status(thm)],[f976]) ).
fof(f978,plain,
( ~ sQ37_spl
| c1_2(a171,a174)
| c5_2(a171,a174)
| c2_2(a171,a174)
| sP3_prd(a171) ),
inference(resolution,[status(thm)],[f135,f304]) ).
fof(f980,definition,
( sQ187_spl
<=> sP3_prd(a171) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f981,plain,
( ~ sQ187_spl
| sP3_prd(a171) ),
inference(component_clause,[status(thm)],[f980]) ).
fof(f982,plain,
( sQ187_spl
| ~ sP3_prd(a171) ),
inference(component_clause,[status(thm)],[f980]) ).
fof(f983,definition,
( sQ188_spl
<=> c2_2(a171,a174) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f984,plain,
( ~ sQ188_spl
| c2_2(a171,a174) ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f986,definition,
( sQ189_spl
<=> c5_2(a171,a174) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f987,plain,
( ~ sQ189_spl
| c5_2(a171,a174) ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f989,definition,
( sQ190_spl
<=> c1_2(a171,a174) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f990,plain,
( ~ sQ190_spl
| c1_2(a171,a174) ),
inference(component_clause,[status(thm)],[f989]) ).
fof(f992,plain,
( ~ sQ37_spl
| sQ190_spl
| sQ189_spl
| sQ188_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f978,f980,f983,f986,f989,f303]) ).
fof(f993,plain,
( ~ sQ81_spl
| sQ5_spl
| sP5_prd(a158) ),
inference(resolution,[status(thm)],[f179,f477]) ).
fof(f994,plain,
( sQ66_spl
| sP5_prd(a180) ),
inference(resolution,[status(thm)],[f418,f148]) ).
fof(f995,plain,
( ~ sQ28_spl
| sQ21_spl
| ~ c2_1(a165)
| ~ c5_1(a165) ),
inference(resolution,[status(thm)],[f242,f268]) ).
fof(f996,definition,
( sQ191_spl
<=> c5_1(a165) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f998,plain,
( sQ191_spl
| ~ c5_1(a165) ),
inference(component_clause,[status(thm)],[f996]) ).
fof(f999,definition,
( sQ192_spl
<=> c2_1(a165) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( sQ192_spl
| ~ c2_1(a165) ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,plain,
( ~ sQ28_spl
| sQ21_spl
| ~ sQ192_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f995,f996,f999,f240,f267]) ).
fof(f1003,plain,
( ~ sQ28_spl
| sQ70_spl
| ~ c2_1(a181)
| ~ c5_1(a181) ),
inference(resolution,[status(thm)],[f434,f268]) ).
fof(f1004,definition,
( sQ193_spl
<=> c5_1(a181) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1006,plain,
( sQ193_spl
| ~ c5_1(a181) ),
inference(component_clause,[status(thm)],[f1004]) ).
fof(f1007,definition,
( sQ194_spl
<=> c2_1(a181) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1009,plain,
( sQ194_spl
| ~ c2_1(a181) ),
inference(component_clause,[status(thm)],[f1007]) ).
fof(f1010,plain,
( ~ sQ28_spl
| sQ70_spl
| ~ sQ194_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f1003,f1004,f1007,f432,f267]) ).
fof(f1011,plain,
( ~ sQ29_spl
| c1_2(a167,a174)
| c5_2(a167,a174)
| c2_2(a167,a174)
| sP3_prd(a167) ),
inference(resolution,[status(thm)],[f272,f135]) ).
fof(f1012,definition,
( sQ195_spl
<=> sP3_prd(a167) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1013,plain,
( ~ sQ195_spl
| sP3_prd(a167) ),
inference(component_clause,[status(thm)],[f1012]) ).
fof(f1014,plain,
( sQ195_spl
| ~ sP3_prd(a167) ),
inference(component_clause,[status(thm)],[f1012]) ).
fof(f1015,definition,
( sQ196_spl
<=> c2_2(a167,a174) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1016,plain,
( ~ sQ196_spl
| c2_2(a167,a174) ),
inference(component_clause,[status(thm)],[f1015]) ).
fof(f1018,definition,
( sQ197_spl
<=> c5_2(a167,a174) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1019,plain,
( ~ sQ197_spl
| c5_2(a167,a174) ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1021,definition,
( sQ198_spl
<=> c1_2(a167,a174) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1022,plain,
( ~ sQ198_spl
| c1_2(a167,a174) ),
inference(component_clause,[status(thm)],[f1021]) ).
fof(f1024,plain,
( ~ sQ29_spl
| sQ198_spl
| sQ197_spl
| sQ196_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1011,f1012,f1015,f1018,f1021,f271]) ).
fof(f1025,plain,
( ~ sQ116_spl
| ~ sP3_prd(sK1_skl) ),
inference(resolution,[status(thm)],[f631,f134]) ).
fof(f1026,plain,
( ~ sQ115_spl
| ~ sP3_prd(sK1_skl) ),
inference(resolution,[status(thm)],[f628,f133]) ).
fof(f1027,plain,
( ~ sQ7_spl
| ~ sQ115_spl
| c2_2(sK1_skl,a174)
| ~ ndr1_1(sK1_skl)
| c3_1(sK1_skl)
| c1_1(sK1_skl) ),
inference(resolution,[status(thm)],[f628,f185]) ).
fof(f1028,definition,
( sQ199_spl
<=> c3_1(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1029,plain,
( ~ sQ199_spl
| c3_1(sK1_skl) ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1031,plain,
( ~ sQ7_spl
| ~ sQ115_spl
| sQ114_spl
| ~ sQ96_spl
| sQ199_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f1027,f550,f1028,f538,f624,f627,f184]) ).
fof(f1034,plain,
( ~ sQ114_spl
| ~ sP3_prd(sK1_skl) ),
inference(resolution,[status(thm)],[f625,f132]) ).
fof(f1035,plain,
( ~ sQ123_spl
| c4_2(a169,a176)
| ~ ndr1_1(a169)
| sP4_prd(a169)
| c3_2(a169,a176) ),
inference(resolution,[status(thm)],[f674,f141]) ).
fof(f1036,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ123_spl
| ~ c3_2(a169,X0)
| c1_2(a169,X0)
| c2_2(a169,X0)
| ~ ndr1_1(a169)
| c1_1(a169)
| c3_2(a169,a182) ),
inference(resolution,[status(thm)],[f674,f448]) ).
fof(f1037,plain,
( ~ sQ123_spl
| ~ c3_1(a169)
| ~ sP5_prd(a169)
| c3_2(a169,a185) ),
inference(resolution,[status(thm)],[f674,f145]) ).
fof(f1038,plain,
( ~ sQ123_spl
| ~ sP3_prd(a169)
| c3_2(a169,a174) ),
inference(resolution,[status(thm)],[f674,f132]) ).
fof(f1039,definition,
( sQ200_spl
<=> c3_2(a169,a176) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1040,plain,
( ~ sQ200_spl
| c3_2(a169,a176) ),
inference(component_clause,[status(thm)],[f1039]) ).
fof(f1042,definition,
( sQ201_spl
<=> c4_2(a169,a176) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1043,plain,
( ~ sQ201_spl
| c4_2(a169,a176) ),
inference(component_clause,[status(thm)],[f1042]) ).
fof(f1045,plain,
( ~ sQ123_spl
| sQ201_spl
| ~ sQ104_spl
| sQ153_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1035,f1039,f812,f573,f1042,f667]) ).
fof(f1046,definition,
( sQ202_spl
<=> c3_2(a169,a182) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1047,plain,
( ~ sQ202_spl
| c3_2(a169,a182) ),
inference(component_clause,[status(thm)],[f1046]) ).
fof(f1049,definition,
! [X0] :
( sQ203_spl
<=> ( ~ c3_2(a169,X0)
| c1_2(a169,X0)
| c2_2(a169,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1050,plain,
! [X0] :
( ~ sQ203_spl
| ~ c3_2(a169,X0)
| c1_2(a169,X0)
| c2_2(a169,X0) ),
inference(component_clause,[status(thm)],[f1049]) ).
fof(f1052,plain,
( ~ sQ74_spl
| ~ sQ123_spl
| sQ203_spl
| ~ sQ104_spl
| sQ124_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1036,f1046,f670,f573,f1049,f667,f447]) ).
fof(f1053,definition,
( sQ204_spl
<=> c3_2(a169,a185) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1054,plain,
( ~ sQ204_spl
| c3_2(a169,a185) ),
inference(component_clause,[status(thm)],[f1053]) ).
fof(f1056,definition,
( sQ205_spl
<=> sP5_prd(a169) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1058,plain,
( sQ205_spl
| ~ sP5_prd(a169) ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1059,plain,
( ~ sQ123_spl
| ~ sQ103_spl
| ~ sQ205_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f1037,f1053,f1056,f569,f667]) ).
fof(f1060,plain,
( ~ sQ123_spl
| ~ sQ122_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f1038,f660,f663,f667]) ).
fof(f1061,plain,
( sQ205_spl
| sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1058,f973]) ).
fof(f1062,plain,
( sQ205_spl
| sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f1061]) ).
fof(f1063,plain,
( sQ68_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f680]) ).
fof(f1064,plain,
( ~ sQ104_spl
| c1_2(a169,a174)
| c5_2(a169,a174)
| c2_2(a169,a174)
| sP3_prd(a169) ),
inference(resolution,[status(thm)],[f574,f135]) ).
fof(f1065,definition,
( sQ206_spl
<=> c5_2(a169,a174) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1066,plain,
( ~ sQ206_spl
| c5_2(a169,a174) ),
inference(component_clause,[status(thm)],[f1065]) ).
fof(f1068,definition,
( sQ207_spl
<=> c1_2(a169,a174) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1069,plain,
( ~ sQ207_spl
| c1_2(a169,a174) ),
inference(component_clause,[status(thm)],[f1068]) ).
fof(f1071,plain,
( ~ sQ104_spl
| sQ207_spl
| sQ206_spl
| sQ120_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f1064,f663,f657,f1065,f1068,f573]) ).
fof(f1075,plain,
( ~ sQ147_spl
| ndr1_1(a181) ),
inference(resolution,[status(thm)],[f784,f138]) ).
fof(f1076,plain,
( ~ sQ147_spl
| c2_2(a181,a176) ),
inference(resolution,[status(thm)],[f784,f140]) ).
fof(f1077,plain,
( ~ sQ145_spl
| ndr1_1(a165) ),
inference(resolution,[status(thm)],[f777,f138]) ).
fof(f1078,plain,
( ~ sQ145_spl
| c2_2(a165,a176) ),
inference(resolution,[status(thm)],[f777,f140]) ).
fof(f1080,plain,
( ~ sQ103_spl
| ~ sQ81_spl
| ndr1_1(a169) ),
inference(resolution,[status(thm)],[f597,f570]) ).
fof(f1083,plain,
( ~ sQ143_spl
| ndr1_1(a180) ),
inference(resolution,[status(thm)],[f770,f138]) ).
fof(f1084,plain,
( ~ sQ143_spl
| c2_2(a180,a176) ),
inference(resolution,[status(thm)],[f770,f140]) ).
fof(f1085,plain,
( ~ sQ141_spl
| ndr1_1(a175) ),
inference(resolution,[status(thm)],[f763,f138]) ).
fof(f1086,plain,
( ~ sQ141_spl
| c2_2(a175,a176) ),
inference(resolution,[status(thm)],[f763,f140]) ).
fof(f1087,plain,
( ~ sQ153_spl
| ndr1_1(a169) ),
inference(resolution,[status(thm)],[f813,f138]) ).
fof(f1088,plain,
( ~ sQ153_spl
| c2_2(a169,a176) ),
inference(resolution,[status(thm)],[f813,f140]) ).
fof(f1093,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ83_spl
| c1_1(X0)
| ~ c1_2(X0,a186)
| ~ ndr1_1(X0)
| c2_1(X0)
| sP5_prd(X0) ),
inference(resolution,[status(thm)],[f485,f505]) ).
fof(f1095,plain,
( ~ sQ120_spl
| ~ sP3_prd(a169) ),
inference(resolution,[status(thm)],[f658,f132]) ).
fof(f1098,plain,
( ~ sQ127_spl
| ~ c3_1(a183)
| ~ sP5_prd(a183) ),
inference(resolution,[status(thm)],[f699,f146]) ).
fof(f1099,plain,
( ~ sQ127_spl
| ~ sQ129_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f1098,f701,f704,f698]) ).
fof(f1100,plain,
( ~ sQ136_spl
| ~ sP4_prd(a180)
| c5_2(a180,a176)
| c2_2(a180,a176) ),
inference(resolution,[status(thm)],[f735,f139]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ136_spl
| c1_1(a180)
| ~ c1_2(a180,X0)
| ~ ndr1_1(a180)
| c2_1(a180)
| c5_2(a180,X0)
| c2_2(a180,X0) ),
inference(resolution,[status(thm)],[f735,f505]) ).
fof(f1102,definition,
( sQ208_spl
<=> c2_2(a180,a176) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1103,plain,
( ~ sQ208_spl
| c2_2(a180,a176) ),
inference(component_clause,[status(thm)],[f1102]) ).
fof(f1105,definition,
( sQ209_spl
<=> c5_2(a180,a176) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1106,plain,
( ~ sQ209_spl
| c5_2(a180,a176) ),
inference(component_clause,[status(thm)],[f1105]) ).
fof(f1108,plain,
( ~ sQ136_spl
| ~ sQ143_spl
| sQ209_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1100,f1102,f1105,f769,f734]) ).
fof(f1109,definition,
! [X0] :
( sQ210_spl
<=> ( ~ c1_2(a180,X0)
| c5_2(a180,X0)
| c2_2(a180,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1110,plain,
! [X0] :
( ~ sQ210_spl
| ~ c1_2(a180,X0)
| c5_2(a180,X0)
| c2_2(a180,X0) ),
inference(component_clause,[status(thm)],[f1109]) ).
fof(f1112,plain,
( ~ sQ88_spl
| ~ sQ136_spl
| sQ111_spl
| ~ sQ64_spl
| sQ63_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1101,f1109,f405,f409,f609,f734,f504]) ).
fof(f1113,plain,
( sQ64_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f411,f896]) ).
fof(f1114,plain,
( sQ64_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f1113]) ).
fof(f1115,plain,
( ~ sQ134_spl
| ~ sP4_prd(a183)
| c5_2(a183,a176)
| c2_2(a183,a176) ),
inference(resolution,[status(thm)],[f728,f139]) ).
fof(f1116,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ134_spl
| c1_1(a183)
| ~ c1_2(a183,X0)
| ~ ndr1_1(a183)
| c2_1(a183)
| c5_2(a183,X0)
| c2_2(a183,X0) ),
inference(resolution,[status(thm)],[f728,f505]) ).
fof(f1117,definition,
( sQ211_spl
<=> c2_2(a183,a176) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1118,plain,
( ~ sQ211_spl
| c2_2(a183,a176) ),
inference(component_clause,[status(thm)],[f1117]) ).
fof(f1120,definition,
( sQ212_spl
<=> c5_2(a183,a176) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1121,plain,
( ~ sQ212_spl
| c5_2(a183,a176) ),
inference(component_clause,[status(thm)],[f1120]) ).
fof(f1123,definition,
( sQ213_spl
<=> sP4_prd(a183) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1124,plain,
( ~ sQ213_spl
| sP4_prd(a183) ),
inference(component_clause,[status(thm)],[f1123]) ).
fof(f1125,plain,
( sQ213_spl
| ~ sP4_prd(a183) ),
inference(component_clause,[status(thm)],[f1123]) ).
fof(f1126,plain,
( ~ sQ134_spl
| ~ sQ213_spl
| sQ212_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1115,f1117,f1120,f1123,f727]) ).
fof(f1127,definition,
! [X0] :
( sQ214_spl
<=> ( ~ c1_2(a183,X0)
| c5_2(a183,X0)
| c2_2(a183,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ214_spl
| ~ c1_2(a183,X0)
| c5_2(a183,X0)
| c2_2(a183,X0) ),
inference(component_clause,[status(thm)],[f1127]) ).
fof(f1130,plain,
( ~ sQ88_spl
| ~ sQ134_spl
| sQ166_spl
| ~ sQ76_spl
| sQ79_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f1116,f1127,f468,f456,f868,f727,f504]) ).
fof(f1131,plain,
( ~ sQ76_spl
| c1_2(a183,a174)
| c5_2(a183,a174)
| c2_2(a183,a174)
| sP3_prd(a183) ),
inference(resolution,[status(thm)],[f457,f135]) ).
fof(f1132,definition,
( sQ215_spl
<=> c2_2(a183,a174) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1133,plain,
( ~ sQ215_spl
| c2_2(a183,a174) ),
inference(component_clause,[status(thm)],[f1132]) ).
fof(f1135,definition,
( sQ216_spl
<=> c5_2(a183,a174) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1136,plain,
( ~ sQ216_spl
| c5_2(a183,a174) ),
inference(component_clause,[status(thm)],[f1135]) ).
fof(f1138,definition,
( sQ217_spl
<=> c1_2(a183,a174) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1139,plain,
( ~ sQ217_spl
| c1_2(a183,a174) ),
inference(component_clause,[status(thm)],[f1138]) ).
fof(f1141,plain,
( ~ sQ76_spl
| sQ217_spl
| sQ216_spl
| sQ215_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f1131,f711,f1132,f1135,f1138,f456]) ).
fof(f1142,plain,
( ~ sQ80_spl
| c4_2(a183,a176)
| ~ ndr1_1(a183)
| sP4_prd(a183)
| c3_2(a183,a176) ),
inference(resolution,[status(thm)],[f473,f141]) ).
fof(f1145,definition,
( sQ218_spl
<=> c3_2(a183,a176) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1146,plain,
( ~ sQ218_spl
| c3_2(a183,a176) ),
inference(component_clause,[status(thm)],[f1145]) ).
fof(f1148,definition,
( sQ219_spl
<=> c4_2(a183,a176) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1149,plain,
( ~ sQ219_spl
| c4_2(a183,a176) ),
inference(component_clause,[status(thm)],[f1148]) ).
fof(f1150,plain,
( sQ219_spl
| ~ c4_2(a183,a176) ),
inference(component_clause,[status(thm)],[f1148]) ).
fof(f1151,plain,
( ~ sQ80_spl
| sQ219_spl
| ~ sQ76_spl
| sQ213_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f1142,f1145,f1123,f456,f1148,f472]) ).
fof(f1154,plain,
( ~ sQ132_spl
| ~ sP4_prd(a175)
| c5_2(a175,a176)
| c2_2(a175,a176) ),
inference(resolution,[status(thm)],[f721,f139]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ132_spl
| c1_1(a175)
| ~ c1_2(a175,X0)
| ~ ndr1_1(a175)
| c2_1(a175)
| c5_2(a175,X0)
| c2_2(a175,X0) ),
inference(resolution,[status(thm)],[f721,f505]) ).
fof(f1156,definition,
( sQ220_spl
<=> c2_2(a175,a176) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1157,plain,
( ~ sQ220_spl
| c2_2(a175,a176) ),
inference(component_clause,[status(thm)],[f1156]) ).
fof(f1159,definition,
( sQ221_spl
<=> c5_2(a175,a176) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1160,plain,
( ~ sQ221_spl
| c5_2(a175,a176) ),
inference(component_clause,[status(thm)],[f1159]) ).
fof(f1162,plain,
( ~ sQ132_spl
| ~ sQ141_spl
| sQ221_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f1154,f1156,f1159,f762,f720]) ).
fof(f1163,definition,
! [X0] :
( sQ222_spl
<=> ( ~ c1_2(a175,X0)
| c5_2(a175,X0)
| c2_2(a175,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1164,plain,
! [X0] :
( ~ sQ222_spl
| ~ c1_2(a175,X0)
| c5_2(a175,X0)
| c2_2(a175,X0) ),
inference(component_clause,[status(thm)],[f1163]) ).
fof(f1166,plain,
( ~ sQ88_spl
| ~ sQ132_spl
| sQ48_spl
| ~ sQ50_spl
| sQ49_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f1155,f1163,f349,f353,f345,f720,f504]) ).
fof(f1167,plain,
( sQ50_spl
| ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f355,f1085]) ).
fof(f1168,plain,
( sQ50_spl
| ~ sQ141_spl ),
inference(contradiction_clause,[status(thm)],[f1167]) ).
fof(f1169,plain,
( ~ sQ171_spl
| ndr1_1(a163) ),
inference(resolution,[status(thm)],[f891,f131]) ).
fof(f1170,plain,
( ~ sQ51_spl
| ~ sQ142_spl
| c4_2(a175,a177)
| c2_2(a175,a177) ),
inference(resolution,[status(thm)],[f766,f357]) ).
fof(f1171,definition,
( sQ223_spl
<=> c2_2(a175,a177) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1172,plain,
( ~ sQ223_spl
| c2_2(a175,a177) ),
inference(component_clause,[status(thm)],[f1171]) ).
fof(f1174,plain,
( ~ sQ51_spl
| ~ sQ142_spl
| sQ149_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f1170,f1171,f794,f765,f356]) ).
fof(f1175,plain,
( ~ sQ169_spl
| ndr1_1(a158) ),
inference(resolution,[status(thm)],[f884,f131]) ).
fof(f1176,plain,
( ~ sQ169_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f1175,f177,f883]) ).
fof(f1177,plain,
( ~ sQ5_spl
| c1_2(a158,a174)
| c5_2(a158,a174)
| c2_2(a158,a174)
| sP3_prd(a158) ),
inference(resolution,[status(thm)],[f178,f135]) ).
fof(f1178,definition,
( sQ224_spl
<=> c2_2(a158,a174) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1179,plain,
( ~ sQ224_spl
| c2_2(a158,a174) ),
inference(component_clause,[status(thm)],[f1178]) ).
fof(f1181,definition,
( sQ225_spl
<=> c5_2(a158,a174) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1182,plain,
( ~ sQ225_spl
| c5_2(a158,a174) ),
inference(component_clause,[status(thm)],[f1181]) ).
fof(f1184,definition,
( sQ226_spl
<=> c1_2(a158,a174) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1185,plain,
( ~ sQ226_spl
| c1_2(a158,a174) ),
inference(component_clause,[status(thm)],[f1184]) ).
fof(f1187,plain,
( ~ sQ5_spl
| sQ226_spl
| sQ225_spl
| sQ224_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1177,f883,f1178,f1181,f1184,f177]) ).
fof(f1188,plain,
( ~ sQ88_spl
| ~ sQ152_spl
| c1_1(a181)
| ~ c1_2(a181,a177)
| ~ ndr1_1(a181)
| c2_1(a181) ),
inference(resolution,[status(thm)],[f807,f505]) ).
fof(f1189,definition,
( sQ227_spl
<=> c1_2(a181,a177) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1191,plain,
( sQ227_spl
| ~ c1_2(a181,a177) ),
inference(component_clause,[status(thm)],[f1189]) ).
fof(f1192,plain,
( ~ sQ88_spl
| ~ sQ152_spl
| sQ70_spl
| ~ sQ227_spl
| ~ sQ68_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1188,f1007,f425,f1189,f432,f806,f504]) ).
fof(f1193,plain,
( sQ68_spl
| ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f427,f1075]) ).
fof(f1194,plain,
( sQ68_spl
| ~ sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f1193]) ).
fof(f1195,plain,
( sQ89_spl
| sP5_prd(a161) ),
inference(resolution,[status(thm)],[f510,f148]) ).
fof(f1196,plain,
( ~ sQ28_spl
| ~ sQ174_spl
| c1_1(a167)
| ~ c5_1(a167) ),
inference(resolution,[status(thm)],[f919,f268]) ).
fof(f1197,plain,
( ~ sQ84_spl
| ~ sQ174_spl
| ndr1_1(a167) ),
inference(resolution,[status(thm)],[f919,f489]) ).
fof(f1198,plain,
( ~ sQ52_spl
| ~ sQ174_spl
| ~ c5_1(a167)
| c4_1(a167) ),
inference(resolution,[status(thm)],[f919,f361]) ).
fof(f1199,plain,
( ~ sQ87_spl
| ~ sQ174_spl
| c2_2(a167,a187) ),
inference(resolution,[status(thm)],[f919,f501]) ).
fof(f1200,plain,
( ~ sQ85_spl
| ~ sQ174_spl
| c1_2(a167,a187) ),
inference(resolution,[status(thm)],[f919,f493]) ).
fof(f1201,definition,
( sQ228_spl
<=> c5_1(a167) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1203,plain,
( sQ228_spl
| ~ c5_1(a167) ),
inference(component_clause,[status(thm)],[f1201]) ).
fof(f1204,plain,
( ~ sQ28_spl
| ~ sQ174_spl
| sQ176_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f1196,f1201,f924,f918,f267]) ).
fof(f1205,definition,
( sQ229_spl
<=> c4_1(a167) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1206,plain,
( ~ sQ229_spl
| c4_1(a167) ),
inference(component_clause,[status(thm)],[f1205]) ).
fof(f1208,plain,
( ~ sQ52_spl
| ~ sQ174_spl
| ~ sQ228_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f1198,f1205,f1201,f918,f360]) ).
fof(f1209,plain,
( ~ sQ90_spl
| c1_2(a161,a174)
| c5_2(a161,a174)
| c2_2(a161,a174)
| sP3_prd(a161) ),
inference(resolution,[status(thm)],[f513,f135]) ).
fof(f1210,definition,
( sQ230_spl
<=> sP3_prd(a161) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1211,plain,
( ~ sQ230_spl
| sP3_prd(a161) ),
inference(component_clause,[status(thm)],[f1210]) ).
fof(f1212,plain,
( sQ230_spl
| ~ sP3_prd(a161) ),
inference(component_clause,[status(thm)],[f1210]) ).
fof(f1213,definition,
( sQ231_spl
<=> c2_2(a161,a174) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1214,plain,
( ~ sQ231_spl
| c2_2(a161,a174) ),
inference(component_clause,[status(thm)],[f1213]) ).
fof(f1216,definition,
( sQ232_spl
<=> c5_2(a161,a174) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1217,plain,
( ~ sQ232_spl
| c5_2(a161,a174) ),
inference(component_clause,[status(thm)],[f1216]) ).
fof(f1219,definition,
( sQ233_spl
<=> c1_2(a161,a174) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1220,plain,
( ~ sQ233_spl
| c1_2(a161,a174) ),
inference(component_clause,[status(thm)],[f1219]) ).
fof(f1222,plain,
( ~ sQ90_spl
| sQ233_spl
| sQ232_spl
| sQ231_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f1209,f1210,f1213,f1216,f1219,f512]) ).
fof(f1223,plain,
( ~ sQ7_spl
| ~ sQ92_spl
| c2_2(a161,a162)
| ~ ndr1_1(a161)
| c3_1(a161)
| c1_1(a161) ),
inference(resolution,[status(thm)],[f521,f185]) ).
fof(f1224,definition,
( sQ234_spl
<=> c1_1(a161) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1225,plain,
( ~ sQ234_spl
| c1_1(a161) ),
inference(component_clause,[status(thm)],[f1224]) ).
fof(f1226,plain,
( sQ234_spl
| ~ c1_1(a161) ),
inference(component_clause,[status(thm)],[f1224]) ).
fof(f1227,definition,
( sQ235_spl
<=> c2_2(a161,a162) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1228,plain,
( ~ sQ235_spl
| c2_2(a161,a162) ),
inference(component_clause,[status(thm)],[f1227]) ).
fof(f1230,plain,
( ~ sQ7_spl
| ~ sQ92_spl
| sQ235_spl
| ~ sQ90_spl
| sQ89_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f1223,f1224,f508,f512,f1227,f520,f184]) ).
fof(f1231,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ94_spl
| ~ c1_2(a161,X0)
| ~ c3_2(a161,X0)
| ~ c4_2(a161,X0)
| ~ ndr1_1(a161)
| ~ c1_1(a161) ),
inference(resolution,[status(thm)],[f529,f437]) ).
fof(f1232,definition,
! [X0] :
( sQ236_spl
<=> ( ~ c1_2(a161,X0)
| ~ c3_2(a161,X0)
| ~ c4_2(a161,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1233,plain,
! [X0] :
( ~ sQ236_spl
| ~ c1_2(a161,X0)
| ~ c3_2(a161,X0)
| ~ c4_2(a161,X0) ),
inference(component_clause,[status(thm)],[f1232]) ).
fof(f1235,plain,
( ~ sQ71_spl
| ~ sQ94_spl
| sQ236_spl
| ~ sQ90_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f1231,f1224,f512,f1232,f528,f436]) ).
fof(f1238,plain,
( ~ sQ177_spl
| ndr1_1(a159) ),
inference(resolution,[status(thm)],[f934,f131]) ).
fof(f1239,plain,
( ~ sQ83_spl
| ~ sQ157_spl
| sP5_prd(a178)
| ~ c1_2(a178,a186)
| ~ c3_2(a178,a186) ),
inference(resolution,[status(thm)],[f829,f485]) ).
fof(f1240,definition,
( sQ237_spl
<=> c3_2(a178,a186) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1242,plain,
( sQ237_spl
| ~ c3_2(a178,a186) ),
inference(component_clause,[status(thm)],[f1240]) ).
fof(f1243,definition,
( sQ238_spl
<=> c1_2(a178,a186) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1245,plain,
( sQ238_spl
| ~ c1_2(a178,a186) ),
inference(component_clause,[status(thm)],[f1243]) ).
fof(f1246,definition,
( sQ239_spl
<=> sP5_prd(a178) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1247,plain,
( ~ sQ239_spl
| sP5_prd(a178) ),
inference(component_clause,[status(thm)],[f1246]) ).
fof(f1249,plain,
( ~ sQ83_spl
| ~ sQ157_spl
| sQ239_spl
| ~ sQ238_spl
| ~ sQ237_spl ),
inference(split_clause,[status(thm)],[f1239,f1240,f1243,f1246,f828,f484]) ).
fof(f1250,plain,
( ~ sQ187_spl
| ndr1_1(a171) ),
inference(resolution,[status(thm)],[f981,f131]) ).
fof(f1251,plain,
( ~ sQ180_spl
| ~ sP3_prd(a159) ),
inference(resolution,[status(thm)],[f943,f134]) ).
fof(f1252,plain,
( ~ sQ180_spl
| ~ sQ177_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1251,f934]) ).
fof(f1253,plain,
( ~ sQ180_spl
| ~ sQ177_spl ),
inference(contradiction_clause,[status(thm)],[f1252]) ).
fof(f1254,plain,
( ~ sQ179_spl
| ~ sP3_prd(a159) ),
inference(resolution,[status(thm)],[f940,f133]) ).
fof(f1255,plain,
( ~ sQ178_spl
| ~ sP3_prd(a159) ),
inference(resolution,[status(thm)],[f937,f132]) ).
fof(f1256,plain,
( ~ sQ86_spl
| ~ sQ182_spl
| ~ c2_1(a158)
| c1_2(a158,a187) ),
inference(resolution,[status(thm)],[f951,f497]) ).
fof(f1257,plain,
( ~ sQ43_spl
| ~ sQ182_spl
| c1_2(a158,a173) ),
inference(resolution,[status(thm)],[f951,f327]) ).
fof(f1258,plain,
( ~ sQ182_spl
| ~ sP3_prd(a158)
| c1_2(a158,a174) ),
inference(resolution,[status(thm)],[f951,f133]) ).
fof(f1259,definition,
( sQ240_spl
<=> c1_2(a158,a187) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1260,plain,
( ~ sQ240_spl
| c1_2(a158,a187) ),
inference(component_clause,[status(thm)],[f1259]) ).
fof(f1262,definition,
( sQ241_spl
<=> c2_1(a158) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1264,plain,
( sQ241_spl
| ~ c2_1(a158) ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1265,plain,
( ~ sQ86_spl
| ~ sQ182_spl
| ~ sQ241_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f1256,f1259,f1262,f950,f496]) ).
fof(f1266,plain,
( ~ sQ182_spl
| ~ sQ169_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f1258,f1184,f883,f950]) ).
fof(f1267,plain,
( ~ sQ195_spl
| ndr1_1(a167) ),
inference(resolution,[status(thm)],[f1013,f131]) ).
fof(f1268,plain,
( ~ sQ81_spl
| ~ sQ199_spl
| ndr1_1(sK1_skl) ),
inference(resolution,[status(thm)],[f1029,f597]) ).
fof(f1269,plain,
( ~ sQ190_spl
| ~ sP3_prd(a171) ),
inference(resolution,[status(thm)],[f990,f134]) ).
fof(f1270,plain,
( ~ sQ190_spl
| ~ sQ187_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1269,f981]) ).
fof(f1271,plain,
( ~ sQ190_spl
| ~ sQ187_spl ),
inference(contradiction_clause,[status(thm)],[f1270]) ).
fof(f1272,plain,
( ~ sQ189_spl
| ~ sP3_prd(a171) ),
inference(resolution,[status(thm)],[f987,f133]) ).
fof(f1273,plain,
( ~ sQ188_spl
| ~ sP3_prd(a171) ),
inference(resolution,[status(thm)],[f984,f132]) ).
fof(f1274,plain,
( ~ sQ31_spl
| ~ sQ198_spl
| ~ c3_2(a167,a174) ),
inference(resolution,[status(thm)],[f1022,f279]) ).
fof(f1275,plain,
( ~ sQ198_spl
| ~ sP3_prd(a167) ),
inference(resolution,[status(thm)],[f1022,f134]) ).
fof(f1276,plain,
( ~ sQ198_spl
| ~ sQ195_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1275,f1013]) ).
fof(f1277,plain,
( ~ sQ198_spl
| ~ sQ195_spl ),
inference(contradiction_clause,[status(thm)],[f1276]) ).
fof(f1278,plain,
( ~ sQ197_spl
| ~ sP3_prd(a167) ),
inference(resolution,[status(thm)],[f1019,f133]) ).
fof(f1279,plain,
( ~ sQ196_spl
| ~ sP3_prd(a167) ),
inference(resolution,[status(thm)],[f1016,f132]) ).
fof(f1280,plain,
( ~ sQ14_spl
| ~ sQ81_spl
| c1_2(a163,a174)
| c5_2(a163,a174)
| c2_2(a163,a174)
| sP3_prd(a163) ),
inference(resolution,[status(thm)],[f898,f135]) ).
fof(f1281,definition,
( sQ242_spl
<=> c2_2(a163,a174) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f1282,plain,
( ~ sQ242_spl
| c2_2(a163,a174) ),
inference(component_clause,[status(thm)],[f1281]) ).
fof(f1284,definition,
( sQ243_spl
<=> c5_2(a163,a174) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f1285,plain,
( ~ sQ243_spl
| c5_2(a163,a174) ),
inference(component_clause,[status(thm)],[f1284]) ).
fof(f1287,definition,
( sQ244_spl
<=> c1_2(a163,a174) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f1288,plain,
( ~ sQ244_spl
| c1_2(a163,a174) ),
inference(component_clause,[status(thm)],[f1287]) ).
fof(f1290,plain,
( ~ sQ14_spl
| ~ sQ81_spl
| sQ244_spl
| sQ243_spl
| sQ242_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1280,f890,f1281,f1284,f1287,f476,f212]) ).
fof(f1293,definition,
( sQ245_spl
<=> c2_2(a180,a174) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f1294,plain,
( ~ sQ245_spl
| c2_2(a180,a174) ),
inference(component_clause,[status(thm)],[f1293]) ).
fof(f1296,definition,
( sQ246_spl
<=> c1_2(a180,a174) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f1297,plain,
( ~ sQ246_spl
| c1_2(a180,a174) ),
inference(component_clause,[status(thm)],[f1296]) ).
fof(f1299,definition,
( sQ247_spl
<=> sP5_prd(a180) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f1300,plain,
( ~ sQ247_spl
| sP5_prd(a180) ),
inference(component_clause,[status(thm)],[f1299]) ).
fof(f1306,plain,
( ~ sQ145_spl
| c1_2(a165,a174)
| c5_2(a165,a174)
| c2_2(a165,a174)
| sP3_prd(a165) ),
inference(resolution,[status(thm)],[f1077,f135]) ).
fof(f1307,definition,
( sQ249_spl
<=> sP3_prd(a165) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f1308,plain,
( ~ sQ249_spl
| sP3_prd(a165) ),
inference(component_clause,[status(thm)],[f1307]) ).
fof(f1309,plain,
( sQ249_spl
| ~ sP3_prd(a165) ),
inference(component_clause,[status(thm)],[f1307]) ).
fof(f1310,definition,
( sQ250_spl
<=> c2_2(a165,a174) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f1311,plain,
( ~ sQ250_spl
| c2_2(a165,a174) ),
inference(component_clause,[status(thm)],[f1310]) ).
fof(f1313,definition,
( sQ251_spl
<=> c5_2(a165,a174) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f1314,plain,
( ~ sQ251_spl
| c5_2(a165,a174) ),
inference(component_clause,[status(thm)],[f1313]) ).
fof(f1316,definition,
( sQ252_spl
<=> c1_2(a165,a174) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f1317,plain,
( ~ sQ252_spl
| c1_2(a165,a174) ),
inference(component_clause,[status(thm)],[f1316]) ).
fof(f1319,plain,
( ~ sQ145_spl
| sQ252_spl
| sQ251_spl
| sQ250_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f1306,f1307,f1310,f1313,f1316,f776]) ).
fof(f1320,plain,
( ~ sQ207_spl
| ~ sP3_prd(a169) ),
inference(resolution,[status(thm)],[f1069,f134]) ).
fof(f1321,plain,
( ~ sQ206_spl
| ~ sP3_prd(a169) ),
inference(resolution,[status(thm)],[f1066,f133]) ).
fof(f1322,plain,
( sQ129_spl
| sP5_prd(a183) ),
inference(resolution,[status(thm)],[f706,f148]) ).
fof(f1323,plain,
( ~ sQ143_spl
| c1_2(a180,a174)
| c5_2(a180,a174)
| c2_2(a180,a174)
| sP3_prd(a180) ),
inference(resolution,[status(thm)],[f1083,f135]) ).
fof(f1324,definition,
( sQ253_spl
<=> c5_2(a180,a174) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f1325,plain,
( ~ sQ253_spl
| c5_2(a180,a174) ),
inference(component_clause,[status(thm)],[f1324]) ).
fof(f1327,plain,
( ~ sQ143_spl
| sQ246_spl
| sQ253_spl
| sQ245_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f1323,f614,f1293,f1324,f1296,f769]) ).
fof(f1328,plain,
( ~ sQ217_spl
| ~ sP3_prd(a183) ),
inference(resolution,[status(thm)],[f1139,f134]) ).
fof(f1329,plain,
( ~ sQ216_spl
| ~ sP3_prd(a183) ),
inference(resolution,[status(thm)],[f1136,f133]) ).
fof(f1330,plain,
( ~ sQ215_spl
| ~ sP3_prd(a183) ),
inference(resolution,[status(thm)],[f1133,f132]) ).
fof(f1331,plain,
( ~ sQ219_spl
| ~ sP4_prd(a183) ),
inference(resolution,[status(thm)],[f1149,f139]) ).
fof(f1332,plain,
( ~ sQ226_spl
| ~ sP3_prd(a158) ),
inference(resolution,[status(thm)],[f1185,f134]) ).
fof(f1333,plain,
( ~ sQ225_spl
| ~ sP3_prd(a158) ),
inference(resolution,[status(thm)],[f1182,f133]) ).
fof(f1334,plain,
( ~ sQ224_spl
| ~ sP3_prd(a158) ),
inference(resolution,[status(thm)],[f1179,f132]) ).
fof(f1335,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ229_spl
| ~ c1_2(a167,X0)
| ~ c3_2(a167,X0)
| ~ c4_2(a167,X0)
| ~ ndr1_1(a167)
| ~ c1_1(a167) ),
inference(resolution,[status(thm)],[f1206,f437]) ).
fof(f1336,definition,
! [X0] :
( sQ254_spl
<=> ( ~ c1_2(a167,X0)
| ~ c3_2(a167,X0)
| ~ c4_2(a167,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f1337,plain,
! [X0] :
( ~ sQ254_spl
| ~ c1_2(a167,X0)
| ~ c3_2(a167,X0)
| ~ c4_2(a167,X0) ),
inference(component_clause,[status(thm)],[f1336]) ).
fof(f1339,plain,
( ~ sQ71_spl
| ~ sQ229_spl
| sQ254_spl
| ~ sQ29_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1335,f924,f271,f1336,f1205,f436]) ).
fof(f1340,plain,
( ~ sQ233_spl
| ~ sP3_prd(a161) ),
inference(resolution,[status(thm)],[f1220,f134]) ).
fof(f1341,plain,
( ~ sQ233_spl
| ~ sQ230_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1340,f1211]) ).
fof(f1342,plain,
( ~ sQ233_spl
| ~ sQ230_spl ),
inference(contradiction_clause,[status(thm)],[f1341]) ).
fof(f1343,plain,
( ~ sQ232_spl
| ~ sP3_prd(a161) ),
inference(resolution,[status(thm)],[f1217,f133]) ).
fof(f1344,plain,
( ~ sQ231_spl
| ~ sP3_prd(a161) ),
inference(resolution,[status(thm)],[f1214,f132]) ).
fof(f1345,plain,
( ~ sQ83_spl
| ~ sQ236_spl
| sP5_prd(a161)
| ~ c1_2(a161,a186)
| ~ c3_2(a161,a186) ),
inference(resolution,[status(thm)],[f1233,f485]) ).
fof(f1346,definition,
( sQ255_spl
<=> c3_2(a161,a186) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f1348,plain,
( sQ255_spl
| ~ c3_2(a161,a186) ),
inference(component_clause,[status(thm)],[f1346]) ).
fof(f1349,definition,
( sQ256_spl
<=> c1_2(a161,a186) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f1351,plain,
( sQ256_spl
| ~ c1_2(a161,a186) ),
inference(component_clause,[status(thm)],[f1349]) ).
fof(f1352,definition,
( sQ257_spl
<=> sP5_prd(a161) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f1353,plain,
( ~ sQ257_spl
| sP5_prd(a161) ),
inference(component_clause,[status(thm)],[f1352]) ).
fof(f1355,plain,
( ~ sQ83_spl
| ~ sQ236_spl
| sQ257_spl
| ~ sQ256_spl
| ~ sQ255_spl ),
inference(split_clause,[status(thm)],[f1345,f1346,f1349,f1352,f1232,f484]) ).
fof(f1356,plain,
( ~ sQ28_spl
| sQ234_spl
| ~ c2_1(a161)
| ~ c5_1(a161) ),
inference(resolution,[status(thm)],[f1226,f268]) ).
fof(f1357,definition,
( sQ258_spl
<=> c5_1(a161) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f1359,plain,
( sQ258_spl
| ~ c5_1(a161) ),
inference(component_clause,[status(thm)],[f1357]) ).
fof(f1360,definition,
( sQ259_spl
<=> c2_1(a161) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f1362,plain,
( sQ259_spl
| ~ c2_1(a161) ),
inference(component_clause,[status(thm)],[f1360]) ).
fof(f1363,plain,
( ~ sQ28_spl
| sQ234_spl
| ~ sQ259_spl
| ~ sQ258_spl ),
inference(split_clause,[status(thm)],[f1356,f1357,f1360,f1224,f267]) ).
fof(f1366,plain,
( ~ sQ249_spl
| ndr1_1(a165) ),
inference(resolution,[status(thm)],[f1308,f131]) ).
fof(f1367,plain,
( ~ sQ150_spl
| ~ sQ158_spl
| ~ c1_2(a180,a177)
| ~ c3_2(a180,a177) ),
inference(resolution,[status(thm)],[f833,f799]) ).
fof(f1368,plain,
( ~ sQ83_spl
| ~ sQ158_spl
| sP5_prd(a180)
| ~ c1_2(a180,a186)
| ~ c3_2(a180,a186) ),
inference(resolution,[status(thm)],[f833,f485]) ).
fof(f1369,definition,
( sQ260_spl
<=> c1_2(a180,a177) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f1371,plain,
( sQ260_spl
| ~ c1_2(a180,a177) ),
inference(component_clause,[status(thm)],[f1369]) ).
fof(f1372,plain,
( ~ sQ150_spl
| ~ sQ158_spl
| ~ sQ260_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f1367,f772,f1369,f832,f798]) ).
fof(f1373,definition,
( sQ261_spl
<=> c3_2(a180,a186) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f1375,plain,
( sQ261_spl
| ~ c3_2(a180,a186) ),
inference(component_clause,[status(thm)],[f1373]) ).
fof(f1376,definition,
( sQ262_spl
<=> c1_2(a180,a186) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f1378,plain,
( sQ262_spl
| ~ c1_2(a180,a186) ),
inference(component_clause,[status(thm)],[f1376]) ).
fof(f1379,plain,
( ~ sQ83_spl
| ~ sQ158_spl
| sQ247_spl
| ~ sQ262_spl
| ~ sQ261_spl ),
inference(split_clause,[status(thm)],[f1368,f1373,f1376,f1299,f832,f484]) ).
fof(f1380,plain,
( ~ sQ204_spl
| ~ c3_1(a169)
| ~ sP5_prd(a169) ),
inference(resolution,[status(thm)],[f1054,f146]) ).
fof(f1381,plain,
( ~ sQ204_spl
| ~ sQ103_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f1380,f1056,f569,f1053]) ).
fof(f1382,plain,
( ~ sQ118_spl
| ~ sQ203_spl
| c1_2(a169,a187)
| c2_2(a169,a187) ),
inference(resolution,[status(thm)],[f1050,f651]) ).
fof(f1383,plain,
( ~ sQ121_spl
| ~ sQ203_spl
| c1_2(a169,a174)
| c2_2(a169,a174) ),
inference(resolution,[status(thm)],[f1050,f661]) ).
fof(f1384,definition,
( sQ263_spl
<=> c1_2(a169,a187) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f1385,plain,
( ~ sQ263_spl
| c1_2(a169,a187) ),
inference(component_clause,[status(thm)],[f1384]) ).
fof(f1387,plain,
( ~ sQ118_spl
| ~ sQ203_spl
| sQ263_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f1382,f647,f1384,f1049,f650]) ).
fof(f1388,plain,
( ~ sQ121_spl
| ~ sQ203_spl
| sQ207_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f1383,f657,f1068,f1049,f660]) ).
fof(f1389,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ202_spl
| ~ c3_2(a169,X0)
| c1_2(a169,X0)
| c2_2(a169,X0)
| ~ ndr1_1(a169)
| c1_1(a169) ),
inference(resolution,[status(thm)],[f1047,f444]) ).
fof(f1390,plain,
( ~ sQ73_spl
| ~ sQ202_spl
| sQ203_spl
| ~ sQ104_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f1389,f670,f573,f1049,f1046,f443]) ).
fof(f1391,plain,
( ~ sQ201_spl
| ~ sP4_prd(a169) ),
inference(resolution,[status(thm)],[f1043,f139]) ).
fof(f1392,plain,
( ~ sQ201_spl
| ~ sQ153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1391,f813]) ).
fof(f1393,plain,
( ~ sQ201_spl
| ~ sQ153_spl ),
inference(contradiction_clause,[status(thm)],[f1392]) ).
fof(f1399,plain,
( ~ sQ65_spl
| ~ sQ209_spl
| ~ c1_2(a180,a176)
| c4_2(a180,a176) ),
inference(resolution,[status(thm)],[f1106,f413]) ).
fof(f1400,definition,
( sQ265_spl
<=> c4_2(a180,a176) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f1401,plain,
( ~ sQ265_spl
| c4_2(a180,a176) ),
inference(component_clause,[status(thm)],[f1400]) ).
fof(f1403,definition,
( sQ266_spl
<=> c1_2(a180,a176) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f1405,plain,
( sQ266_spl
| ~ c1_2(a180,a176) ),
inference(component_clause,[status(thm)],[f1403]) ).
fof(f1406,plain,
( ~ sQ65_spl
| ~ sQ209_spl
| ~ sQ266_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f1399,f1400,f1403,f1105,f412]) ).
fof(f1407,plain,
( ~ sQ217_spl
| ~ sQ214_spl
| c5_2(a183,a174)
| c2_2(a183,a174) ),
inference(resolution,[status(thm)],[f1128,f1139]) ).
fof(f1408,plain,
( ~ sQ77_spl
| ~ sQ214_spl
| c5_2(a183,a184)
| c2_2(a183,a184) ),
inference(resolution,[status(thm)],[f1128,f461]) ).
fof(f1409,plain,
( ~ sQ217_spl
| ~ sQ214_spl
| sQ216_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f1407,f1132,f1135,f1127,f1138]) ).
fof(f1410,definition,
( sQ267_spl
<=> c2_2(a183,a184) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f1411,plain,
( ~ sQ267_spl
| c2_2(a183,a184) ),
inference(component_clause,[status(thm)],[f1410]) ).
fof(f1413,plain,
( ~ sQ77_spl
| ~ sQ214_spl
| sQ78_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f1408,f1410,f464,f1127,f460]) ).
fof(f1414,plain,
( ~ sQ211_spl
| c4_2(a183,a176)
| ~ ndr1_1(a183)
| sP4_prd(a183) ),
inference(resolution,[status(thm)],[f1118,f141]) ).
fof(f1415,plain,
( ~ sQ211_spl
| sQ219_spl
| ~ sQ76_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f1414,f1123,f456,f1148,f1117]) ).
fof(f1416,plain,
( ~ sQ213_spl
| ~ sQ219_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1124,f1331]) ).
fof(f1417,plain,
( ~ sQ213_spl
| ~ sQ219_spl ),
inference(contradiction_clause,[status(thm)],[f1416]) ).
fof(f1418,plain,
( ~ sQ213_spl
| ndr1_1(a183) ),
inference(resolution,[status(thm)],[f1124,f138]) ).
fof(f1419,plain,
( ~ sQ213_spl
| c2_2(a183,a176) ),
inference(resolution,[status(thm)],[f1124,f140]) ).
fof(f1422,plain,
( ~ sQ220_spl
| c4_2(a175,a176)
| ~ ndr1_1(a175)
| sP4_prd(a175) ),
inference(resolution,[status(thm)],[f1157,f141]) ).
fof(f1423,definition,
( sQ268_spl
<=> c4_2(a175,a176) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f1424,plain,
( ~ sQ268_spl
| c4_2(a175,a176) ),
inference(component_clause,[status(thm)],[f1423]) ).
fof(f1426,plain,
( ~ sQ220_spl
| sQ268_spl
| ~ sQ50_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1422,f762,f353,f1423,f1156]) ).
fof(f1428,plain,
( ~ sQ244_spl
| ~ sP3_prd(a163) ),
inference(resolution,[status(thm)],[f1288,f134]) ).
fof(f1429,plain,
( ~ sQ244_spl
| ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1428,f891]) ).
fof(f1430,plain,
( ~ sQ244_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f1429]) ).
fof(f1431,plain,
( ~ sQ243_spl
| ~ sP3_prd(a163) ),
inference(resolution,[status(thm)],[f1285,f133]) ).
fof(f1432,plain,
( ~ sQ242_spl
| ~ sP3_prd(a163) ),
inference(resolution,[status(thm)],[f1282,f132]) ).
fof(f1433,plain,
( ~ sQ210_spl
| ~ sQ246_spl
| c5_2(a180,a174)
| c2_2(a180,a174) ),
inference(resolution,[status(thm)],[f1297,f1110]) ).
fof(f1434,plain,
( ~ sQ246_spl
| ~ sP3_prd(a180) ),
inference(resolution,[status(thm)],[f1297,f134]) ).
fof(f1435,plain,
( ~ sQ210_spl
| ~ sQ246_spl
| sQ253_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f1433,f1293,f1324,f1296,f1109]) ).
fof(f1436,plain,
( ~ sQ245_spl
| ~ sP3_prd(a180) ),
inference(resolution,[status(thm)],[f1294,f132]) ).
fof(f1437,plain,
( ~ sQ252_spl
| ~ sP3_prd(a165) ),
inference(resolution,[status(thm)],[f1317,f134]) ).
fof(f1438,plain,
( ~ sQ252_spl
| ~ sQ249_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1437,f1308]) ).
fof(f1439,plain,
( ~ sQ252_spl
| ~ sQ249_spl ),
inference(contradiction_clause,[status(thm)],[f1438]) ).
fof(f1440,plain,
( ~ sQ251_spl
| ~ sP3_prd(a165) ),
inference(resolution,[status(thm)],[f1314,f133]) ).
fof(f1441,plain,
( ~ sQ250_spl
| ~ sP3_prd(a165) ),
inference(resolution,[status(thm)],[f1311,f132]) ).
fof(f1442,plain,
( ~ sQ253_spl
| ~ sP3_prd(a180) ),
inference(resolution,[status(thm)],[f1325,f133]) ).
fof(f1443,plain,
( ~ sQ265_spl
| ~ sP4_prd(a180) ),
inference(resolution,[status(thm)],[f1401,f139]) ).
fof(f1444,plain,
( ~ sQ265_spl
| ~ sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1443,f770]) ).
fof(f1445,plain,
( ~ sQ265_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f1444]) ).
fof(f1446,plain,
( ~ sQ208_spl
| c4_2(a180,a176)
| ~ ndr1_1(a180)
| sP4_prd(a180) ),
inference(resolution,[status(thm)],[f1103,f141]) ).
fof(f1447,plain,
( ~ sQ208_spl
| sQ265_spl
| ~ sQ64_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f1446,f769,f409,f1400,f1102]) ).
fof(f1448,plain,
( ~ sQ81_spl
| sQ64_spl
| sP5_prd(a180) ),
inference(resolution,[status(thm)],[f411,f477]) ).
fof(f1451,plain,
( ~ sQ268_spl
| ~ sP4_prd(a175) ),
inference(resolution,[status(thm)],[f1424,f139]) ).
fof(f1452,plain,
( ~ sQ265_spl
| ~ sP4_prd(a180) ),
inference(resolution,[status(thm)],[f1401,f139]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| sQ2_spl
| sQ5_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sQ13_spl
| ~ sQ16_spl
| ~ sQ18_spl
| ~ sQ19_spl
| ~ sQ20_spl
| sQ23_spl
| sQ27_spl
| sQ28_spl
| sQ29_spl
| sQ31_spl
| sQ32_spl
| ~ sQ35_spl
| ~ sQ36_spl
| sQ37_spl
| ~ sQ38_spl
| sQ39_spl
| sQ40_spl
| ~ sQ41_spl
| sQ43_spl
| sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| ~ sQ47_spl
| sQ48_spl
| ~ sQ50_spl
| sQ52_spl
| ~ sQ53_spl
| ~ sQ55_spl
| ~ sQ56_spl
| ~ sQ58_spl
| ~ sQ59_spl
| ~ sQ63_spl
| ~ sQ64_spl
| ~ sQ66_spl
| ~ sQ67_spl
| sQ69_spl
| sQ70_spl
| sQ71_spl
| sQ72_spl
| ~ sQ75_spl
| sQ76_spl
| sQ80_spl
| sQ81_spl
| sQ82_spl
| sQ83_spl
| sQ84_spl
| sQ85_spl
| sQ86_spl
| sQ87_spl
| ~ sQ89_spl
| sQ90_spl
| sQ91_spl
| sQ92_spl
| sQ93_spl
| sQ94_spl
| ~ sQ95_spl
| sQ96_spl
| sQ99_spl
| ~ sQ100_spl
| sQ101_spl
| sQ103_spl
| sQ104_spl
| ~ sQ105_spl
| ~ sQ106_spl
| ~ sQ107_spl
| ~ sQ108_spl
| ~ sQ109_spl
| ~ sQ110_spl
| ~ sQ111_spl
| ~ sQ112_spl
| sQ114_spl
| sQ116_spl
| sQ117_spl
| ~ sQ119_spl
| sQ120_spl
| sQ121_spl
| ~ sQ123_spl
| sQ124_spl
| sQ125_spl
| ~ sQ126_spl
| sQ128_spl
| ~ sQ129_spl
| sQ130_spl
| ~ sQ132_spl
| ~ sQ133_spl
| ~ sQ134_spl
| ~ sQ135_spl
| ~ sQ136_spl
| ~ sQ137_spl
| sQ139_spl
| ~ sQ140_spl
| ~ sQ141_spl
| ~ sQ143_spl
| sQ145_spl
| sQ146_spl
| ~ sQ147_spl
| sQ148_spl
| sQ149_spl
| sQ151_spl
| ~ sQ153_spl
| sQ154_spl
| sQ155_spl
| ~ sQ158_spl
| ~ sQ159_spl
| ~ sQ160_spl
| ~ sQ161_spl
| sQ162_spl
| sQ163_spl
| sQ164_spl
| ~ sQ165_spl
| sQ166_spl
| ~ sQ167_spl
| sQ168_spl
| sQ170_spl
| ~ sQ171_spl
| sQ172_spl
| sQ173_spl
| ~ sQ174_spl
| sQ176_spl
| ~ sQ177_spl
| sQ178_spl
| sQ179_spl
| sQ181_spl
| ~ sQ182_spl
| sQ183_spl
| sQ184_spl
| sQ185_spl
| sQ186_spl
| ~ sQ187_spl
| sQ188_spl
| sQ189_spl
| ~ sQ191_spl
| ~ sQ192_spl
| ~ sQ193_spl
| ~ sQ195_spl
| sQ196_spl
| sQ197_spl
| sQ199_spl
| sQ200_spl
| ~ sQ205_spl
| sQ206_spl
| sQ207_spl
| sQ212_spl
| sQ213_spl
| ~ sQ214_spl
| sQ215_spl
| sQ216_spl
| sQ218_spl
| ~ sQ219_spl
| sQ221_spl
| sQ222_spl
| sQ223_spl
| sQ224_spl
| sQ225_spl
| sQ226_spl
| ~ sQ227_spl
| ~ sQ228_spl
| ~ sQ230_spl
| sQ231_spl
| sQ232_spl
| ~ sQ234_spl
| sQ235_spl
| ~ sQ237_spl
| ~ sQ238_spl
| sQ239_spl
| sQ240_spl
| ~ sQ241_spl
| sQ242_spl
| sQ243_spl
| sQ245_spl
| sQ247_spl
| ~ sQ249_spl
| sQ250_spl
| sQ251_spl
| sQ253_spl
| sQ254_spl
| ~ sQ255_spl
| ~ sQ256_spl
| sQ257_spl
| ~ sQ258_spl
| ~ sQ259_spl
| ~ sQ260_spl
| ~ sQ261_spl
| ~ sQ262_spl
| sQ263_spl
| sQ265_spl
| ~ sQ266_spl
| sQ267_spl
| sQ268_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 : n016.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 11:10:23 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.46 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.13/0.46 % SZS output start Saturation for theBenchmark
% See solution above
% 0.13/0.47 % Elapsed time: 0.106762 seconds
% 0.13/0.47 % CPU time: 0.581422 seconds
% 0.13/0.47 % Total memory used: 30.023 MB
% 0.13/0.47 % Net memory used: 29.831 MB
%------------------------------------------------------------------------------