%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN517+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 : n010.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 03:19:54 PM UTC 2026
% Result : CounterSatisfiable 0.14s 10.62s
% Output : Saturation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ( ( c4_0
| ! [X8] :
( ndr1_0
=> ( ! [X9] :
( ndr1_1(X8)
=> ( c3_2(X8,X9)
| c4_2(X8,X9)
| c2_2(X8,X9) ) )
| c3_1(X8)
| ~ c5_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( c3_1(X7)
| c4_1(X7)
| ( c4_2(X7,a69)
& ~ c1_2(X7,a69)
& c5_2(X7,a69)
& ndr1_1(X7) ) ) ) )
& ( ( ~ c3_1(a68)
& ! [X6] :
( ndr1_1(a68)
=> ( c3_2(a68,X6)
| ~ c5_2(a68,X6)
| ~ c4_2(a68,X6) ) )
& ndr1_0 )
| ( ~ c1_1(a67)
& ! [X5] :
( ndr1_1(a67)
=> ( ~ c3_2(a67,X5)
| c1_2(a67,X5)
| ~ c2_2(a67,X5) ) )
& ndr1_0 )
| c3_0 )
& ( c2_0
| ( c4_2(a65,a66)
& c5_2(a65,a66)
& ~ c3_2(a65,a66)
& ndr1_1(a65)
& ! [X4] :
( ndr1_1(a65)
=> ( ~ c3_2(a65,X4)
| ~ c1_2(a65,X4) ) )
& ndr1_0 ) )
& ( ~ c5_0
| ( c2_1(a64)
& ~ c5_1(a64)
& ndr1_0 )
| ( ~ c2_2(a62,a63)
& ~ c5_2(a62,a63)
& c3_2(a62,a63)
& ndr1_1(a62)
& ! [X3] :
( ndr1_1(a62)
=> ( c1_2(a62,X3)
| ~ c5_2(a62,X3)
| c2_2(a62,X3) ) )
& c1_1(a62)
& ndr1_0 ) )
& ( ( ! [X2] :
( ndr1_1(a60)
=> ( c4_2(a60,X2)
| c5_2(a60,X2) ) )
& c5_1(a60)
& ~ c5_2(a60,a61)
& ~ c1_2(a60,a61)
& ~ c4_2(a60,a61)
& ndr1_1(a60)
& ndr1_0 )
| ~ c3_0
| ~ c5_0 )
& ( ( c5_1(a59)
& c2_1(a59)
& ~ c4_1(a59)
& ndr1_0 )
| ( ~ c5_1(a57)
& ! [X1] :
( ndr1_1(a57)
=> ( c2_2(a57,X1)
| c5_2(a57,X1)
| ~ c3_2(a57,X1) ) )
& c2_2(a57,a58)
& ~ c1_2(a57,a58)
& c4_2(a57,a58)
& ndr1_1(a57)
& ndr1_0 )
| c3_0 )
& ( ~ c4_0
| ( ! [Z] :
( ndr1_1(a55)
=> ( c1_2(a55,Z)
| c5_2(a55,Z)
| c3_2(a55,Z) ) )
& c5_1(a55)
& c1_2(a55,a56)
& ~ c3_2(a55,a56)
& c4_2(a55,a56)
& ndr1_1(a55)
& ndr1_0 )
| ~ c2_0 )
& ( c2_0
| ( c1_1(a53)
& c2_2(a53,a54)
& c3_2(a53,a54)
& ~ c1_2(a53,a54)
& ndr1_1(a53)
& c5_1(a53)
& ndr1_0 )
| c1_0 )
& ( c5_0
| ~ c3_0
| ~ c2_0 )
& ( c5_0
| c4_0 )
& ( ~ c1_0
| ~ c5_0
| ! [X] :
( ndr1_0
=> ( ( c1_2(X,a52)
& ~ c2_2(X,a52)
& ~ c3_2(X,a52)
& ndr1_1(X) )
| c4_1(X)
| ! [Y] :
( ndr1_1(X)
=> ( ~ c2_2(X,Y)
| ~ c4_2(X,Y)
| c3_2(X,Y) ) ) ) ) )
& ( ! [V] :
( ndr1_0
=> ( ! [W] :
( ndr1_1(V)
=> ( c4_2(V,W)
| ~ c3_2(V,W) ) )
| c3_1(V)
| c5_1(V) ) )
| ( c3_1(a50)
& ! [U] :
( ndr1_1(a50)
=> ( c3_2(a50,U)
| c4_2(a50,U)
| ~ c2_2(a50,U) ) )
& c3_2(a50,a51)
& ~ c4_2(a50,a51)
& ~ c1_2(a50,a51)
& ndr1_1(a50)
& ndr1_0 )
| c1_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ( ( c4_0
| ! [X8] :
( ndr1_0
=> ( ! [X9] :
( ndr1_1(X8)
=> ( c3_2(X8,X9)
| c4_2(X8,X9)
| c2_2(X8,X9) ) )
| c3_1(X8)
| ~ c5_1(X8) ) )
| ! [X7] :
( ndr1_0
=> ( c3_1(X7)
| c4_1(X7)
| ( c4_2(X7,a69)
& ~ c1_2(X7,a69)
& c5_2(X7,a69)
& ndr1_1(X7) ) ) ) )
& ( ( ~ c3_1(a68)
& ! [X6] :
( ndr1_1(a68)
=> ( c3_2(a68,X6)
| ~ c5_2(a68,X6)
| ~ c4_2(a68,X6) ) )
& ndr1_0 )
| ( ~ c1_1(a67)
& ! [X5] :
( ndr1_1(a67)
=> ( ~ c3_2(a67,X5)
| c1_2(a67,X5)
| ~ c2_2(a67,X5) ) )
& ndr1_0 )
| c3_0 )
& ( c2_0
| ( c4_2(a65,a66)
& c5_2(a65,a66)
& ~ c3_2(a65,a66)
& ndr1_1(a65)
& ! [X4] :
( ndr1_1(a65)
=> ( ~ c3_2(a65,X4)
| ~ c1_2(a65,X4) ) )
& ndr1_0 ) )
& ( ~ c5_0
| ( c2_1(a64)
& ~ c5_1(a64)
& ndr1_0 )
| ( ~ c2_2(a62,a63)
& ~ c5_2(a62,a63)
& c3_2(a62,a63)
& ndr1_1(a62)
& ! [X3] :
( ndr1_1(a62)
=> ( c1_2(a62,X3)
| ~ c5_2(a62,X3)
| c2_2(a62,X3) ) )
& c1_1(a62)
& ndr1_0 ) )
& ( ( ! [X2] :
( ndr1_1(a60)
=> ( c4_2(a60,X2)
| c5_2(a60,X2) ) )
& c5_1(a60)
& ~ c5_2(a60,a61)
& ~ c1_2(a60,a61)
& ~ c4_2(a60,a61)
& ndr1_1(a60)
& ndr1_0 )
| ~ c3_0
| ~ c5_0 )
& ( ( c5_1(a59)
& c2_1(a59)
& ~ c4_1(a59)
& ndr1_0 )
| ( ~ c5_1(a57)
& ! [X1] :
( ndr1_1(a57)
=> ( c2_2(a57,X1)
| c5_2(a57,X1)
| ~ c3_2(a57,X1) ) )
& c2_2(a57,a58)
& ~ c1_2(a57,a58)
& c4_2(a57,a58)
& ndr1_1(a57)
& ndr1_0 )
| c3_0 )
& ( ~ c4_0
| ( ! [Z] :
( ndr1_1(a55)
=> ( c1_2(a55,Z)
| c5_2(a55,Z)
| c3_2(a55,Z) ) )
& c5_1(a55)
& c1_2(a55,a56)
& ~ c3_2(a55,a56)
& c4_2(a55,a56)
& ndr1_1(a55)
& ndr1_0 )
| ~ c2_0 )
& ( c2_0
| ( c1_1(a53)
& c2_2(a53,a54)
& c3_2(a53,a54)
& ~ c1_2(a53,a54)
& ndr1_1(a53)
& c5_1(a53)
& ndr1_0 )
| c1_0 )
& ( c5_0
| ~ c3_0
| ~ c2_0 )
& ( c5_0
| c4_0 )
& ( ~ c1_0
| ~ c5_0
| ! [X] :
( ndr1_0
=> ( ( c1_2(X,a52)
& ~ c2_2(X,a52)
& ~ c3_2(X,a52)
& ndr1_1(X) )
| c4_1(X)
| ! [Y] :
( ndr1_1(X)
=> ( ~ c2_2(X,Y)
| ~ c4_2(X,Y)
| c3_2(X,Y) ) ) ) ) )
& ( ! [V] :
( ndr1_0
=> ( ! [W] :
( ndr1_1(V)
=> ( c4_2(V,W)
| ~ c3_2(V,W) ) )
| c3_1(V)
| c5_1(V) ) )
| ( c3_1(a50)
& ! [U] :
( ndr1_1(a50)
=> ( c3_2(a50,U)
| c4_2(a50,U)
| ~ c2_2(a50,U) ) )
& c3_2(a50,a51)
& ~ c4_2(a50,a51)
& ~ c1_2(a50,a51)
& ndr1_1(a50)
& ndr1_0 )
| c1_0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( c4_0
| ! [X8] :
( ! [X9] :
( c3_2(X8,X9)
| c4_2(X8,X9)
| c2_2(X8,X9)
| ~ ndr1_1(X8) )
| c3_1(X8)
| ~ c5_1(X8)
| ~ ndr1_0 )
| ! [X7] :
( c3_1(X7)
| c4_1(X7)
| ( c4_2(X7,a69)
& ~ c1_2(X7,a69)
& c5_2(X7,a69)
& ndr1_1(X7) )
| ~ ndr1_0 ) )
& ( ( ~ c3_1(a68)
& ! [X6] :
( c3_2(a68,X6)
| ~ c5_2(a68,X6)
| ~ c4_2(a68,X6)
| ~ ndr1_1(a68) )
& ndr1_0 )
| ( ~ c1_1(a67)
& ! [X5] :
( ~ c3_2(a67,X5)
| c1_2(a67,X5)
| ~ c2_2(a67,X5)
| ~ ndr1_1(a67) )
& ndr1_0 )
| c3_0 )
& ( c2_0
| ( c4_2(a65,a66)
& c5_2(a65,a66)
& ~ c3_2(a65,a66)
& ndr1_1(a65)
& ! [X4] :
( ~ c3_2(a65,X4)
| ~ c1_2(a65,X4)
| ~ ndr1_1(a65) )
& ndr1_0 ) )
& ( ~ c5_0
| ( c2_1(a64)
& ~ c5_1(a64)
& ndr1_0 )
| ( ~ c2_2(a62,a63)
& ~ c5_2(a62,a63)
& c3_2(a62,a63)
& ndr1_1(a62)
& ! [X3] :
( c1_2(a62,X3)
| ~ c5_2(a62,X3)
| c2_2(a62,X3)
| ~ ndr1_1(a62) )
& c1_1(a62)
& ndr1_0 ) )
& ( ( ! [X2] :
( c4_2(a60,X2)
| c5_2(a60,X2)
| ~ ndr1_1(a60) )
& c5_1(a60)
& ~ c5_2(a60,a61)
& ~ c1_2(a60,a61)
& ~ c4_2(a60,a61)
& ndr1_1(a60)
& ndr1_0 )
| ~ c3_0
| ~ c5_0 )
& ( ( c5_1(a59)
& c2_1(a59)
& ~ c4_1(a59)
& ndr1_0 )
| ( ~ c5_1(a57)
& ! [X1] :
( c2_2(a57,X1)
| c5_2(a57,X1)
| ~ c3_2(a57,X1)
| ~ ndr1_1(a57) )
& c2_2(a57,a58)
& ~ c1_2(a57,a58)
& c4_2(a57,a58)
& ndr1_1(a57)
& ndr1_0 )
| c3_0 )
& ( ~ c4_0
| ( ! [Z] :
( c1_2(a55,Z)
| c5_2(a55,Z)
| c3_2(a55,Z)
| ~ ndr1_1(a55) )
& c5_1(a55)
& c1_2(a55,a56)
& ~ c3_2(a55,a56)
& c4_2(a55,a56)
& ndr1_1(a55)
& ndr1_0 )
| ~ c2_0 )
& ( c2_0
| ( c1_1(a53)
& c2_2(a53,a54)
& c3_2(a53,a54)
& ~ c1_2(a53,a54)
& ndr1_1(a53)
& c5_1(a53)
& ndr1_0 )
| c1_0 )
& ( c5_0
| ~ c3_0
| ~ c2_0 )
& ( c5_0
| c4_0 )
& ( ~ c1_0
| ~ c5_0
| ! [X] :
( ( c1_2(X,a52)
& ~ c2_2(X,a52)
& ~ c3_2(X,a52)
& ndr1_1(X) )
| c4_1(X)
| ! [Y] :
( ~ c2_2(X,Y)
| ~ c4_2(X,Y)
| c3_2(X,Y)
| ~ ndr1_1(X) )
| ~ ndr1_0 ) )
& ( ! [V] :
( ! [W] :
( c4_2(V,W)
| ~ c3_2(V,W)
| ~ ndr1_1(V) )
| c3_1(V)
| c5_1(V)
| ~ ndr1_0 )
| ( c3_1(a50)
& ! [U] :
( c3_2(a50,U)
| c4_2(a50,U)
| ~ c2_2(a50,U)
| ~ ndr1_1(a50) )
& c3_2(a50,a51)
& ~ c4_2(a50,a51)
& ~ c1_2(a50,a51)
& ndr1_1(a50)
& ndr1_0 )
| c1_0 ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
( sP0_prd
<=> ( ~ c5_1(a57)
& ! [X1] :
( c2_2(a57,X1)
| c5_2(a57,X1)
| ~ c3_2(a57,X1)
| ~ ndr1_1(a57) )
& c2_2(a57,a58)
& ~ c1_2(a57,a58)
& c4_2(a57,a58)
& ndr1_1(a57)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,definition,
( sP1_prd
<=> ( ~ c2_2(a62,a63)
& ~ c5_2(a62,a63)
& c3_2(a62,a63)
& ndr1_1(a62)
& ! [X3] :
( c1_2(a62,X3)
| ~ c5_2(a62,X3)
| c2_2(a62,X3)
| ~ ndr1_1(a62) )
& c1_1(a62)
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f6,definition,
( sP2_prd
<=> ( ~ c1_1(a67)
& ! [X5] :
( ~ c3_2(a67,X5)
| c1_2(a67,X5)
| ~ c2_2(a67,X5)
| ~ ndr1_1(a67) )
& ndr1_0 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f7,plain,
( ( c4_0
| ! [X8] :
( ! [X9] :
( c3_2(X8,X9)
| c4_2(X8,X9)
| c2_2(X8,X9)
| ~ ndr1_1(X8) )
| c3_1(X8)
| ~ c5_1(X8)
| ~ ndr1_0 )
| ! [X7] :
( c3_1(X7)
| c4_1(X7)
| ( c4_2(X7,a69)
& ~ c1_2(X7,a69)
& c5_2(X7,a69)
& ndr1_1(X7) )
| ~ ndr1_0 ) )
& ( ( ~ c3_1(a68)
& ! [X6] :
( c3_2(a68,X6)
| ~ c5_2(a68,X6)
| ~ c4_2(a68,X6)
| ~ ndr1_1(a68) )
& ndr1_0 )
| sP2_prd
| c3_0 )
& ( c2_0
| ( c4_2(a65,a66)
& c5_2(a65,a66)
& ~ c3_2(a65,a66)
& ndr1_1(a65)
& ! [X4] :
( ~ c3_2(a65,X4)
| ~ c1_2(a65,X4)
| ~ ndr1_1(a65) )
& ndr1_0 ) )
& ( ~ c5_0
| ( c2_1(a64)
& ~ c5_1(a64)
& ndr1_0 )
| sP1_prd )
& ( ( ! [X2] :
( c4_2(a60,X2)
| c5_2(a60,X2)
| ~ ndr1_1(a60) )
& c5_1(a60)
& ~ c5_2(a60,a61)
& ~ c1_2(a60,a61)
& ~ c4_2(a60,a61)
& ndr1_1(a60)
& ndr1_0 )
| ~ c3_0
| ~ c5_0 )
& ( ( c5_1(a59)
& c2_1(a59)
& ~ c4_1(a59)
& ndr1_0 )
| sP0_prd
| c3_0 )
& ( ~ c4_0
| ( ! [Z] :
( c1_2(a55,Z)
| c5_2(a55,Z)
| c3_2(a55,Z)
| ~ ndr1_1(a55) )
& c5_1(a55)
& c1_2(a55,a56)
& ~ c3_2(a55,a56)
& c4_2(a55,a56)
& ndr1_1(a55)
& ndr1_0 )
| ~ c2_0 )
& ( c2_0
| ( c1_1(a53)
& c2_2(a53,a54)
& c3_2(a53,a54)
& ~ c1_2(a53,a54)
& ndr1_1(a53)
& c5_1(a53)
& ndr1_0 )
| c1_0 )
& ( c5_0
| ~ c3_0
| ~ c2_0 )
& ( c5_0
| c4_0 )
& ( ~ c1_0
| ~ c5_0
| ! [X] :
( ( c1_2(X,a52)
& ~ c2_2(X,a52)
& ~ c3_2(X,a52)
& ndr1_1(X) )
| c4_1(X)
| ! [Y] :
( ~ c2_2(X,Y)
| ~ c4_2(X,Y)
| c3_2(X,Y)
| ~ ndr1_1(X) )
| ~ ndr1_0 ) )
& ( ! [V] :
( ! [W] :
( c4_2(V,W)
| ~ c3_2(V,W)
| ~ ndr1_1(V) )
| c3_1(V)
| c5_1(V)
| ~ ndr1_0 )
| ( c3_1(a50)
& ! [U] :
( c3_2(a50,U)
| c4_2(a50,U)
| ~ c2_2(a50,U)
| ~ ndr1_1(a50) )
& c3_2(a50,a51)
& ~ c4_2(a50,a51)
& ~ c1_2(a50,a51)
& ndr1_1(a50)
& ndr1_0 )
| c1_0 ) ),
inference(formula_renaming,[status(thm)],[f3,f6,f5,f4]) ).
fof(f8,plain,
( ( c4_0
| ! [X8] :
( ! [X9] :
( c3_2(X8,X9)
| c4_2(X8,X9)
| c2_2(X8,X9) )
| ~ ndr1_1(X8)
| c3_1(X8)
| ~ c5_1(X8) )
| ~ ndr1_0
| ! [X7] :
( c3_1(X7)
| c4_1(X7)
| ( c4_2(X7,a69)
& ~ c1_2(X7,a69)
& c5_2(X7,a69)
& ndr1_1(X7) ) )
| ~ ndr1_0 )
& ( ( ~ c3_1(a68)
& ( ! [X6] :
( c3_2(a68,X6)
| ~ c5_2(a68,X6)
| ~ c4_2(a68,X6) )
| ~ ndr1_1(a68) )
& ndr1_0 )
| sP2_prd
| c3_0 )
& ( c2_0
| ( c4_2(a65,a66)
& c5_2(a65,a66)
& ~ c3_2(a65,a66)
& ndr1_1(a65)
& ( ! [X4] :
( ~ c3_2(a65,X4)
| ~ c1_2(a65,X4) )
| ~ ndr1_1(a65) )
& ndr1_0 ) )
& ( ~ c5_0
| ( c2_1(a64)
& ~ c5_1(a64)
& ndr1_0 )
| sP1_prd )
& ( ( ( ! [X2] :
( c4_2(a60,X2)
| c5_2(a60,X2) )
| ~ ndr1_1(a60) )
& c5_1(a60)
& ~ c5_2(a60,a61)
& ~ c1_2(a60,a61)
& ~ c4_2(a60,a61)
& ndr1_1(a60)
& ndr1_0 )
| ~ c3_0
| ~ c5_0 )
& ( ( c5_1(a59)
& c2_1(a59)
& ~ c4_1(a59)
& ndr1_0 )
| sP0_prd
| c3_0 )
& ( ~ c4_0
| ( ( ! [Z] :
( c1_2(a55,Z)
| c5_2(a55,Z)
| c3_2(a55,Z) )
| ~ ndr1_1(a55) )
& c5_1(a55)
& c1_2(a55,a56)
& ~ c3_2(a55,a56)
& c4_2(a55,a56)
& ndr1_1(a55)
& ndr1_0 )
| ~ c2_0 )
& ( c2_0
| ( c1_1(a53)
& c2_2(a53,a54)
& c3_2(a53,a54)
& ~ c1_2(a53,a54)
& ndr1_1(a53)
& c5_1(a53)
& ndr1_0 )
| c1_0 )
& ( c5_0
| ~ c3_0
| ~ c2_0 )
& ( c5_0
| c4_0 )
& ( ~ c1_0
| ~ c5_0
| ! [X] :
( ( c1_2(X,a52)
& ~ c2_2(X,a52)
& ~ c3_2(X,a52)
& ndr1_1(X) )
| c4_1(X)
| ! [Y] :
( ~ c2_2(X,Y)
| ~ c4_2(X,Y)
| c3_2(X,Y) )
| ~ ndr1_1(X) )
| ~ ndr1_0 )
& ( ! [V] :
( ! [W] :
( c4_2(V,W)
| ~ c3_2(V,W) )
| ~ ndr1_1(V)
| c3_1(V)
| c5_1(V) )
| ~ ndr1_0
| ( c3_1(a50)
& ( ! [U] :
( c3_2(a50,U)
| c4_2(a50,U)
| ~ c2_2(a50,U) )
| ~ ndr1_1(a50) )
& c3_2(a50,a51)
& ~ c4_2(a50,a51)
& ~ c1_2(a50,a51)
& ndr1_1(a50)
& ndr1_0 )
| c1_0 ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f10,plain,
! [X0,X1] :
( c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0)
| c5_1(X0)
| ~ ndr1_0
| ndr1_1(a50)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f11,plain,
! [X0,X1] :
( c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0)
| c5_1(X0)
| ~ ndr1_0
| ~ c1_2(a50,a51)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f12,plain,
! [X0,X1] :
( c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0)
| c5_1(X0)
| ~ ndr1_0
| ~ c4_2(a50,a51)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f13,plain,
! [X0,X1] :
( c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0)
| c5_1(X0)
| ~ ndr1_0
| c3_2(a50,a51)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f14,plain,
! [X0,X1,X2] :
( c4_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ ndr1_1(X1)
| c3_1(X1)
| c5_1(X1)
| ~ ndr1_0
| c3_2(a50,X0)
| c4_2(a50,X0)
| ~ c2_2(a50,X0)
| ~ ndr1_1(a50)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f15,plain,
! [X0,X1] :
( c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0)
| c5_1(X0)
| ~ ndr1_0
| c3_1(a50)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f16,plain,
! [X0,X1] :
( ~ c1_0
| ~ c5_0
| ndr1_1(X0)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f17,plain,
! [X0,X1] :
( ~ c1_0
| ~ c5_0
| ~ c3_2(X0,a52)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f18,plain,
! [X0,X1] :
( ~ c1_0
| ~ c5_0
| ~ c2_2(X0,a52)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f19,plain,
! [X0,X1] :
( ~ c1_0
| ~ c5_0
| c1_2(X0,a52)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f20,plain,
( c5_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f21,plain,
( c5_0
| ~ c3_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f23,plain,
( c2_0
| c5_1(a53)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f24,plain,
( c2_0
| ndr1_1(a53)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f25,plain,
( c2_0
| ~ c1_2(a53,a54)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f26,plain,
( c2_0
| c3_2(a53,a54)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f27,plain,
( c2_0
| c2_2(a53,a54)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f28,plain,
( c2_0
| c1_1(a53)
| c1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f29,plain,
( ~ c4_0
| ndr1_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f30,plain,
( ~ c4_0
| ndr1_1(a55)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f31,plain,
( ~ c4_0
| c4_2(a55,a56)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f32,plain,
( ~ c4_0
| ~ c3_2(a55,a56)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f33,plain,
( ~ c4_0
| c1_2(a55,a56)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f34,plain,
( ~ c4_0
| c5_1(a55)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f35,plain,
! [X0] :
( ~ c4_0
| c1_2(a55,X0)
| c5_2(a55,X0)
| c3_2(a55,X0)
| ~ ndr1_1(a55)
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f36,plain,
( ndr1_0
| sP0_prd
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f37,plain,
( ~ c4_1(a59)
| sP0_prd
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f38,plain,
( c2_1(a59)
| sP0_prd
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f39,plain,
( c5_1(a59)
| sP0_prd
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f40,plain,
( ndr1_0
| ~ c3_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f41,plain,
( ndr1_1(a60)
| ~ c3_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f42,plain,
( ~ c4_2(a60,a61)
| ~ c3_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f43,plain,
( ~ c1_2(a60,a61)
| ~ c3_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f44,plain,
( ~ c5_2(a60,a61)
| ~ c3_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f45,plain,
( c5_1(a60)
| ~ c3_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f46,plain,
! [X0] :
( c4_2(a60,X0)
| c5_2(a60,X0)
| ~ ndr1_1(a60)
| ~ c3_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f47,plain,
( ~ c5_0
| ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f48,plain,
( ~ c5_0
| ~ c5_1(a64)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f49,plain,
( ~ c5_0
| c2_1(a64)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f50,plain,
( c2_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f51,plain,
! [X0] :
( c2_0
| ~ c3_2(a65,X0)
| ~ c1_2(a65,X0)
| ~ ndr1_1(a65) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f52,plain,
( c2_0
| ndr1_1(a65) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f53,plain,
( c2_0
| ~ c3_2(a65,a66) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f54,plain,
( c2_0
| c5_2(a65,a66) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f55,plain,
( c2_0
| c4_2(a65,a66) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f56,plain,
( ndr1_0
| sP2_prd
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f57,plain,
! [X0] :
( c3_2(a68,X0)
| ~ c5_2(a68,X0)
| ~ c4_2(a68,X0)
| ~ ndr1_1(a68)
| sP2_prd
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f58,plain,
( ~ c3_1(a68)
| sP2_prd
| c3_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f59,plain,
! [X0,X1,X2] :
( c4_0
| c3_2(X1,X2)
| c4_2(X1,X2)
| c2_2(X1,X2)
| ~ ndr1_1(X1)
| c3_1(X1)
| ~ c5_1(X1)
| ~ ndr1_0
| c3_1(X0)
| c4_1(X0)
| ndr1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f60,plain,
! [X0,X1,X2] :
( c4_0
| c3_2(X1,X2)
| c4_2(X1,X2)
| c2_2(X1,X2)
| ~ ndr1_1(X1)
| c3_1(X1)
| ~ c5_1(X1)
| ~ ndr1_0
| c3_1(X0)
| c4_1(X0)
| c5_2(X0,a69)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f61,plain,
! [X0,X1,X2] :
( c4_0
| c3_2(X1,X2)
| c4_2(X1,X2)
| c2_2(X1,X2)
| ~ ndr1_1(X1)
| c3_1(X1)
| ~ c5_1(X1)
| ~ ndr1_0
| c3_1(X0)
| c4_1(X0)
| ~ c1_2(X0,a69)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f62,plain,
! [X0,X1,X2] :
( c4_0
| c3_2(X1,X2)
| c4_2(X1,X2)
| c2_2(X1,X2)
| ~ ndr1_1(X1)
| c3_1(X1)
| ~ c5_1(X1)
| ~ ndr1_0
| c3_1(X0)
| c4_1(X0)
| c4_2(X0,a69)
| ~ ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f63,plain,
( ( c5_1(a57)
| ? [X1] :
( ~ c2_2(a57,X1)
& ~ c5_2(a57,X1)
& c3_2(a57,X1)
& ndr1_1(a57) )
| ~ c2_2(a57,a58)
| c1_2(a57,a58)
| ~ c4_2(a57,a58)
| ~ ndr1_1(a57)
| ~ ndr1_0
| sP0_prd )
& ( ( ~ c5_1(a57)
& ! [X1] :
( c2_2(a57,X1)
| c5_2(a57,X1)
| ~ c3_2(a57,X1)
| ~ ndr1_1(a57) )
& c2_2(a57,a58)
& ~ c1_2(a57,a58)
& c4_2(a57,a58)
& ndr1_1(a57)
& ndr1_0 )
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f64,plain,
( ( c5_1(a57)
| ( ? [X1] :
( ~ c2_2(a57,X1)
& ~ c5_2(a57,X1)
& c3_2(a57,X1) )
& ndr1_1(a57) )
| ~ c2_2(a57,a58)
| c1_2(a57,a58)
| ~ c4_2(a57,a58)
| ~ ndr1_1(a57)
| ~ ndr1_0
| sP0_prd )
& ( ( ~ c5_1(a57)
& ( ! [X1] :
( c2_2(a57,X1)
| c5_2(a57,X1)
| ~ c3_2(a57,X1) )
| ~ ndr1_1(a57) )
& c2_2(a57,a58)
& ~ c1_2(a57,a58)
& c4_2(a57,a58)
& ndr1_1(a57)
& ndr1_0 )
| ~ sP0_prd ) ),
inference(miniscoping,[status(thm)],[f63]) ).
fof(f65,plain,
( ( c5_1(a57)
| ( ~ c2_2(a57,sK0_skl)
& ~ c5_2(a57,sK0_skl)
& c3_2(a57,sK0_skl)
& ndr1_1(a57) )
| ~ c2_2(a57,a58)
| c1_2(a57,a58)
| ~ c4_2(a57,a58)
| ~ ndr1_1(a57)
| ~ ndr1_0
| sP0_prd )
& ( ( ~ c5_1(a57)
& ( ! [X1] :
( c2_2(a57,X1)
| c5_2(a57,X1)
| ~ c3_2(a57,X1) )
| ~ ndr1_1(a57) )
& c2_2(a57,a58)
& ~ c1_2(a57,a58)
& c4_2(a57,a58)
& ndr1_1(a57)
& ndr1_0 )
| ~ sP0_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X1,sK0_skl)],[f64]) ).
fof(f66,plain,
( ndr1_0
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
( ndr1_1(a57)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f68,plain,
( c4_2(a57,a58)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f69,plain,
( ~ c1_2(a57,a58)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f70,plain,
( c2_2(a57,a58)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f71,plain,
! [X0] :
( c2_2(a57,X0)
| c5_2(a57,X0)
| ~ c3_2(a57,X0)
| ~ ndr1_1(a57)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f72,plain,
( ~ c5_1(a57)
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f74,plain,
( c5_1(a57)
| c3_2(a57,sK0_skl)
| ~ c2_2(a57,a58)
| c1_2(a57,a58)
| ~ c4_2(a57,a58)
| ~ ndr1_1(a57)
| ~ ndr1_0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f75,plain,
( c5_1(a57)
| ~ c5_2(a57,sK0_skl)
| ~ c2_2(a57,a58)
| c1_2(a57,a58)
| ~ c4_2(a57,a58)
| ~ ndr1_1(a57)
| ~ ndr1_0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f76,plain,
( c5_1(a57)
| ~ c2_2(a57,sK0_skl)
| ~ c2_2(a57,a58)
| c1_2(a57,a58)
| ~ c4_2(a57,a58)
| ~ ndr1_1(a57)
| ~ ndr1_0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f77,plain,
( ( c2_2(a62,a63)
| c5_2(a62,a63)
| ~ c3_2(a62,a63)
| ~ ndr1_1(a62)
| ? [X3] :
( ~ c1_2(a62,X3)
& c5_2(a62,X3)
& ~ c2_2(a62,X3)
& ndr1_1(a62) )
| ~ c1_1(a62)
| ~ ndr1_0
| sP1_prd )
& ( ( ~ c2_2(a62,a63)
& ~ c5_2(a62,a63)
& c3_2(a62,a63)
& ndr1_1(a62)
& ! [X3] :
( c1_2(a62,X3)
| ~ c5_2(a62,X3)
| c2_2(a62,X3)
| ~ ndr1_1(a62) )
& c1_1(a62)
& ndr1_0 )
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f5]) ).
fof(f78,plain,
( ( c2_2(a62,a63)
| c5_2(a62,a63)
| ~ c3_2(a62,a63)
| ~ ndr1_1(a62)
| ( ? [X3] :
( ~ c1_2(a62,X3)
& c5_2(a62,X3)
& ~ c2_2(a62,X3) )
& ndr1_1(a62) )
| ~ c1_1(a62)
| ~ ndr1_0
| sP1_prd )
& ( ( ~ c2_2(a62,a63)
& ~ c5_2(a62,a63)
& c3_2(a62,a63)
& ndr1_1(a62)
& ( ! [X3] :
( c1_2(a62,X3)
| ~ c5_2(a62,X3)
| c2_2(a62,X3) )
| ~ ndr1_1(a62) )
& c1_1(a62)
& ndr1_0 )
| ~ sP1_prd ) ),
inference(miniscoping,[status(thm)],[f77]) ).
fof(f79,plain,
( ( c2_2(a62,a63)
| c5_2(a62,a63)
| ~ c3_2(a62,a63)
| ~ ndr1_1(a62)
| ( ~ c1_2(a62,sK1_skl)
& c5_2(a62,sK1_skl)
& ~ c2_2(a62,sK1_skl)
& ndr1_1(a62) )
| ~ c1_1(a62)
| ~ ndr1_0
| sP1_prd )
& ( ( ~ c2_2(a62,a63)
& ~ c5_2(a62,a63)
& c3_2(a62,a63)
& ndr1_1(a62)
& ( ! [X3] :
( c1_2(a62,X3)
| ~ c5_2(a62,X3)
| c2_2(a62,X3) )
| ~ ndr1_1(a62) )
& c1_1(a62)
& ndr1_0 )
| ~ sP1_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X3,sK1_skl)],[f78]) ).
fof(f80,plain,
( ndr1_0
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f81,plain,
( c1_1(a62)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f82,plain,
! [X0] :
( c1_2(a62,X0)
| ~ c5_2(a62,X0)
| c2_2(a62,X0)
| ~ ndr1_1(a62)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f83,plain,
( ndr1_1(a62)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f84,plain,
( c3_2(a62,a63)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f85,plain,
( ~ c5_2(a62,a63)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f86,plain,
( ~ c2_2(a62,a63)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f88,plain,
( c2_2(a62,a63)
| c5_2(a62,a63)
| ~ c3_2(a62,a63)
| ~ ndr1_1(a62)
| ~ c2_2(a62,sK1_skl)
| ~ c1_1(a62)
| ~ ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f89,plain,
( c2_2(a62,a63)
| c5_2(a62,a63)
| ~ c3_2(a62,a63)
| ~ ndr1_1(a62)
| c5_2(a62,sK1_skl)
| ~ c1_1(a62)
| ~ ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f90,plain,
( c2_2(a62,a63)
| c5_2(a62,a63)
| ~ c3_2(a62,a63)
| ~ ndr1_1(a62)
| ~ c1_2(a62,sK1_skl)
| ~ c1_1(a62)
| ~ ndr1_0
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f91,plain,
( ( c1_1(a67)
| ? [X5] :
( c3_2(a67,X5)
& ~ c1_2(a67,X5)
& c2_2(a67,X5)
& ndr1_1(a67) )
| ~ ndr1_0
| sP2_prd )
& ( ( ~ c1_1(a67)
& ! [X5] :
( ~ c3_2(a67,X5)
| c1_2(a67,X5)
| ~ c2_2(a67,X5)
| ~ ndr1_1(a67) )
& ndr1_0 )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f6]) ).
fof(f92,plain,
( ( c1_1(a67)
| ( ? [X5] :
( c3_2(a67,X5)
& ~ c1_2(a67,X5)
& c2_2(a67,X5) )
& ndr1_1(a67) )
| ~ ndr1_0
| sP2_prd )
& ( ( ~ c1_1(a67)
& ( ! [X5] :
( ~ c3_2(a67,X5)
| c1_2(a67,X5)
| ~ c2_2(a67,X5) )
| ~ ndr1_1(a67) )
& ndr1_0 )
| ~ sP2_prd ) ),
inference(miniscoping,[status(thm)],[f91]) ).
fof(f93,plain,
( ( c1_1(a67)
| ( c3_2(a67,sK2_skl)
& ~ c1_2(a67,sK2_skl)
& c2_2(a67,sK2_skl)
& ndr1_1(a67) )
| ~ ndr1_0
| sP2_prd )
& ( ( ~ c1_1(a67)
& ( ! [X5] :
( ~ c3_2(a67,X5)
| c1_2(a67,X5)
| ~ c2_2(a67,X5) )
| ~ ndr1_1(a67) )
& ndr1_0 )
| ~ sP2_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(X5,sK2_skl)],[f92]) ).
fof(f94,plain,
( ndr1_0
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
! [X0] :
( ~ c3_2(a67,X0)
| c1_2(a67,X0)
| ~ c2_2(a67,X0)
| ~ ndr1_1(a67)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f96,plain,
( ~ c1_1(a67)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f97,plain,
( c1_1(a67)
| ndr1_1(a67)
| ~ ndr1_0
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f98,plain,
( c1_1(a67)
| c2_2(a67,sK2_skl)
| ~ ndr1_0
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f99,plain,
( c1_1(a67)
| ~ c1_2(a67,sK2_skl)
| ~ ndr1_0
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f100,plain,
( c1_1(a67)
| c3_2(a67,sK2_skl)
| ~ ndr1_0
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f101,definition,
( sQ0_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( ~ sQ0_spl
| c1_0 ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f103,plain,
( sQ0_spl
| ~ c1_0 ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,definition,
( sQ1_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f105,plain,
( ~ sQ1_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,definition,
! [X0,X1] :
( sQ2_spl
<=> ( c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0)
| c5_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f108,plain,
! [X0,X1] :
( ~ sQ2_spl
| c4_2(X0,X1)
| ~ c3_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0)
| c5_1(X0) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f111,definition,
( sQ3_spl
<=> ndr1_1(a50) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( sQ2_spl
| ~ sQ1_spl
| sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f10,f101,f111,f104,f107]) ).
fof(f115,definition,
( sQ4_spl
<=> c1_2(a50,a51) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( sQ4_spl
| ~ c1_2(a50,a51) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,plain,
( sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f11,f101,f115,f104,f107]) ).
fof(f119,definition,
( sQ5_spl
<=> c4_2(a50,a51) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( sQ5_spl
| ~ c4_2(a50,a51) ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,plain,
( sQ2_spl
| ~ sQ1_spl
| ~ sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f12,f101,f119,f104,f107]) ).
fof(f123,definition,
( sQ6_spl
<=> c3_2(a50,a51) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( ~ sQ6_spl
| c3_2(a50,a51) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f126,plain,
( sQ2_spl
| ~ sQ1_spl
| sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f13,f101,f123,f104,f107]) ).
fof(f127,definition,
! [X0] :
( sQ7_spl
<=> ( c3_2(a50,X0)
| c4_2(a50,X0)
| ~ c2_2(a50,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f128,plain,
! [X0] :
( ~ sQ7_spl
| c3_2(a50,X0)
| c4_2(a50,X0)
| ~ c2_2(a50,X0) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,plain,
( sQ2_spl
| ~ sQ1_spl
| sQ7_spl
| ~ sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f14,f101,f111,f127,f104,f107]) ).
fof(f131,definition,
( sQ8_spl
<=> c3_1(a50) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( ~ sQ8_spl
| c3_1(a50) ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f134,plain,
( sQ2_spl
| ~ sQ1_spl
| sQ8_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f15,f101,f131,f104,f107]) ).
fof(f135,definition,
! [X0,X1] :
( sQ9_spl
<=> ( ndr1_1(X0)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f138,definition,
( sQ10_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( ~ sQ10_spl
| c5_0 ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f140,plain,
( sQ10_spl
| ~ c5_0 ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,plain,
( ~ sQ0_spl
| ~ sQ10_spl
| sQ9_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f16,f104,f135,f138,f101]) ).
fof(f142,definition,
! [X0,X1] :
( sQ11_spl
<=> ( ~ c3_2(X0,a52)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f143,plain,
! [X0,X1] :
( ~ sQ11_spl
| ~ c3_2(X0,a52)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f145,plain,
( ~ sQ0_spl
| ~ sQ10_spl
| sQ11_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f17,f104,f142,f138,f101]) ).
fof(f146,definition,
! [X0,X1] :
( sQ12_spl
<=> ( ~ c2_2(X0,a52)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f147,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ c2_2(X0,a52)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( ~ sQ0_spl
| ~ sQ10_spl
| sQ12_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f18,f104,f146,f138,f101]) ).
fof(f150,definition,
! [X0,X1] :
( sQ13_spl
<=> ( c1_2(X0,a52)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f151,plain,
! [X0,X1] :
( ~ sQ13_spl
| c1_2(X0,a52)
| c4_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1)
| c3_2(X0,X1)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,plain,
( ~ sQ0_spl
| ~ sQ10_spl
| sQ13_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f19,f104,f150,f138,f101]) ).
fof(f154,definition,
( sQ14_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f155,plain,
( ~ sQ14_spl
| c4_0 ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f156,plain,
( sQ14_spl
| ~ c4_0 ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,plain,
( sQ10_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f20,f154,f138]) ).
fof(f158,definition,
( sQ15_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f159,plain,
( ~ sQ15_spl
| c2_0 ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f160,plain,
( sQ15_spl
| ~ c2_0 ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,definition,
( sQ16_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( ~ sQ16_spl
| c3_0 ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,plain,
( sQ10_spl
| ~ sQ16_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f21,f158,f161,f138]) ).
fof(f166,definition,
( sQ17_spl
<=> c5_1(a53) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ17_spl
| c5_1(a53) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,plain,
( sQ15_spl
| sQ17_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f23,f101,f166,f158]) ).
fof(f170,definition,
( sQ18_spl
<=> ndr1_1(a53) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( ~ sQ18_spl
| ndr1_1(a53) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,plain,
( sQ15_spl
| sQ18_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f24,f101,f170,f158]) ).
fof(f174,definition,
( sQ19_spl
<=> c1_2(a53,a54) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( sQ19_spl
| ~ c1_2(a53,a54) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,plain,
( sQ15_spl
| ~ sQ19_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f25,f101,f174,f158]) ).
fof(f178,definition,
( sQ20_spl
<=> c3_2(a53,a54) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( ~ sQ20_spl
| c3_2(a53,a54) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,plain,
( sQ15_spl
| sQ20_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f26,f101,f178,f158]) ).
fof(f182,definition,
( sQ21_spl
<=> c2_2(a53,a54) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( ~ sQ21_spl
| c2_2(a53,a54) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,plain,
( sQ15_spl
| sQ21_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f27,f101,f182,f158]) ).
fof(f186,definition,
( sQ22_spl
<=> c1_1(a53) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ22_spl
| c1_1(a53) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( sQ15_spl
| sQ22_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f28,f101,f186,f158]) ).
fof(f190,plain,
( ~ sQ14_spl
| sQ1_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f29,f158,f104,f154]) ).
fof(f191,definition,
( sQ23_spl
<=> ndr1_1(a55) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( sQ23_spl
| ~ ndr1_1(a55) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,plain,
( ~ sQ14_spl
| sQ23_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f30,f158,f191,f154]) ).
fof(f195,definition,
( sQ24_spl
<=> c4_2(a55,a56) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( ~ sQ24_spl
| c4_2(a55,a56) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,plain,
( ~ sQ14_spl
| sQ24_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f31,f158,f195,f154]) ).
fof(f199,definition,
( sQ25_spl
<=> c3_2(a55,a56) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( sQ25_spl
| ~ c3_2(a55,a56) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( ~ sQ14_spl
| ~ sQ25_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f32,f158,f199,f154]) ).
fof(f203,definition,
( sQ26_spl
<=> c1_2(a55,a56) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ26_spl
| c1_2(a55,a56) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,plain,
( ~ sQ14_spl
| sQ26_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f33,f158,f203,f154]) ).
fof(f207,definition,
( sQ27_spl
<=> c5_1(a55) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ27_spl
| c5_1(a55) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,plain,
( ~ sQ14_spl
| sQ27_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f34,f158,f207,f154]) ).
fof(f211,definition,
! [X0] :
( sQ28_spl
<=> ( c1_2(a55,X0)
| c5_2(a55,X0)
| c3_2(a55,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f212,plain,
! [X0] :
( ~ sQ28_spl
| c1_2(a55,X0)
| c5_2(a55,X0)
| c3_2(a55,X0) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,plain,
( ~ sQ14_spl
| sQ28_spl
| ~ sQ23_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f35,f158,f191,f211,f154]) ).
fof(f215,definition,
( sQ29_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( sQ29_spl
| ~ sP0_prd ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( sQ1_spl
| sQ29_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f36,f161,f215,f104]) ).
fof(f219,definition,
( sQ30_spl
<=> c4_1(a59) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( sQ30_spl
| ~ c4_1(a59) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,plain,
( ~ sQ30_spl
| sQ29_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f37,f161,f215,f219]) ).
fof(f223,definition,
( sQ31_spl
<=> c2_1(a59) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f224,plain,
( ~ sQ31_spl
| c2_1(a59) ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,plain,
( sQ31_spl
| sQ29_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f38,f161,f215,f223]) ).
fof(f227,definition,
( sQ32_spl
<=> c5_1(a59) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( ~ sQ32_spl
| c5_1(a59) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,plain,
( sQ32_spl
| sQ29_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f39,f161,f215,f227]) ).
fof(f231,plain,
( sQ1_spl
| ~ sQ16_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f40,f138,f161,f104]) ).
fof(f232,definition,
( sQ33_spl
<=> ndr1_1(a60) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ33_spl
| ndr1_1(a60) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f234,plain,
( sQ33_spl
| ~ ndr1_1(a60) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( sQ33_spl
| ~ sQ16_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f41,f138,f161,f232]) ).
fof(f236,definition,
( sQ34_spl
<=> c4_2(a60,a61) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ34_spl
| c4_2(a60,a61) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f238,plain,
( sQ34_spl
| ~ c4_2(a60,a61) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( ~ sQ34_spl
| ~ sQ16_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f42,f138,f161,f236]) ).
fof(f240,definition,
( sQ35_spl
<=> c1_2(a60,a61) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( sQ35_spl
| ~ c1_2(a60,a61) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,plain,
( ~ sQ35_spl
| ~ sQ16_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f43,f138,f161,f240]) ).
fof(f244,definition,
( sQ36_spl
<=> c5_2(a60,a61) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ36_spl
| c5_2(a60,a61) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f246,plain,
( sQ36_spl
| ~ c5_2(a60,a61) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( ~ sQ36_spl
| ~ sQ16_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f44,f138,f161,f244]) ).
fof(f248,definition,
( sQ37_spl
<=> c5_1(a60) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ37_spl
| c5_1(a60) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( sQ37_spl
| ~ sQ16_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f45,f138,f161,f248]) ).
fof(f252,definition,
! [X0] :
( sQ38_spl
<=> ( c4_2(a60,X0)
| c5_2(a60,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f253,plain,
! [X0] :
( ~ sQ38_spl
| c4_2(a60,X0)
| c5_2(a60,X0) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( sQ38_spl
| ~ sQ33_spl
| ~ sQ16_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f46,f138,f161,f232,f252]) ).
fof(f256,definition,
( sQ39_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ39_spl
| sP1_prd ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f258,plain,
( sQ39_spl
| ~ sP1_prd ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,plain,
( ~ sQ10_spl
| sQ1_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f47,f256,f104,f138]) ).
fof(f260,definition,
( sQ40_spl
<=> c5_1(a64) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( sQ40_spl
| ~ c5_1(a64) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( ~ sQ10_spl
| ~ sQ40_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f48,f256,f260,f138]) ).
fof(f264,definition,
( sQ41_spl
<=> c2_1(a64) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( ~ sQ41_spl
| c2_1(a64) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( ~ sQ10_spl
| sQ41_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f49,f256,f264,f138]) ).
fof(f268,plain,
( sQ15_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f50,f104,f158]) ).
fof(f269,definition,
( sQ42_spl
<=> ndr1_1(a65) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( ~ sQ42_spl
| ndr1_1(a65) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,definition,
! [X0] :
( sQ43_spl
<=> ( ~ c3_2(a65,X0)
| ~ c1_2(a65,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f273,plain,
! [X0] :
( ~ sQ43_spl
| ~ c3_2(a65,X0)
| ~ c1_2(a65,X0) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( sQ15_spl
| sQ43_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f51,f269,f272,f158]) ).
fof(f276,plain,
( sQ15_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f52,f269,f158]) ).
fof(f277,definition,
( sQ44_spl
<=> c3_2(a65,a66) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( sQ44_spl
| ~ c3_2(a65,a66) ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,plain,
( sQ15_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f53,f277,f158]) ).
fof(f281,definition,
( sQ45_spl
<=> c5_2(a65,a66) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ45_spl
| c5_2(a65,a66) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,plain,
( sQ15_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f54,f281,f158]) ).
fof(f285,definition,
( sQ46_spl
<=> c4_2(a65,a66) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ46_spl
| c4_2(a65,a66) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,plain,
( sQ15_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f55,f285,f158]) ).
fof(f289,definition,
( sQ47_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( sQ47_spl
| ~ sP2_prd ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,plain,
( sQ1_spl
| sQ47_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f56,f161,f289,f104]) ).
fof(f293,definition,
( sQ48_spl
<=> ndr1_1(a68) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( sQ48_spl
| ~ ndr1_1(a68) ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f296,definition,
! [X0] :
( sQ49_spl
<=> ( c3_2(a68,X0)
| ~ c5_2(a68,X0)
| ~ c4_2(a68,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f297,plain,
! [X0] :
( ~ sQ49_spl
| c3_2(a68,X0)
| ~ c5_2(a68,X0)
| ~ c4_2(a68,X0) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( sQ49_spl
| ~ sQ48_spl
| sQ47_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f57,f161,f289,f293,f296]) ).
fof(f300,definition,
( sQ50_spl
<=> c3_1(a68) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( sQ50_spl
| ~ c3_1(a68) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,plain,
( ~ sQ50_spl
| sQ47_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f58,f161,f289,f300]) ).
fof(f304,definition,
! [X0] :
( sQ51_spl
<=> ( c3_1(X0)
| c4_1(X0)
| ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f305,plain,
! [X0] :
( ~ sQ51_spl
| c3_1(X0)
| c4_1(X0)
| ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,definition,
! [X1,X2] :
( sQ52_spl
<=> ( c3_2(X1,X2)
| c4_2(X1,X2)
| c2_2(X1,X2)
| ~ ndr1_1(X1)
| c3_1(X1)
| ~ c5_1(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f308,plain,
! [X0,X1] :
( ~ sQ52_spl
| c3_2(X0,X1)
| c4_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_1(X0)
| c3_1(X0)
| ~ c5_1(X0) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,plain,
( sQ14_spl
| sQ52_spl
| sQ51_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f59,f104,f304,f307,f154]) ).
fof(f311,definition,
! [X0] :
( sQ53_spl
<=> ( c3_1(X0)
| c4_1(X0)
| c5_2(X0,a69) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f312,plain,
! [X0] :
( ~ sQ53_spl
| c3_1(X0)
| c4_1(X0)
| c5_2(X0,a69) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,plain,
( sQ14_spl
| sQ52_spl
| sQ53_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f60,f104,f311,f307,f154]) ).
fof(f315,definition,
! [X0] :
( sQ54_spl
<=> ( c3_1(X0)
| c4_1(X0)
| ~ c1_2(X0,a69) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f316,plain,
! [X0] :
( ~ sQ54_spl
| c3_1(X0)
| c4_1(X0)
| ~ c1_2(X0,a69) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,plain,
( sQ14_spl
| sQ52_spl
| sQ54_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f61,f104,f315,f307,f154]) ).
fof(f319,definition,
! [X0] :
( sQ55_spl
<=> ( c3_1(X0)
| c4_1(X0)
| c4_2(X0,a69) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f320,plain,
! [X0] :
( ~ sQ55_spl
| c3_1(X0)
| c4_1(X0)
| c4_2(X0,a69) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,plain,
( sQ14_spl
| sQ52_spl
| sQ55_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f62,f104,f319,f307,f154]) ).
fof(f323,plain,
( sQ1_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f66,f215,f104]) ).
fof(f324,definition,
( sQ56_spl
<=> ndr1_1(a57) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ56_spl
| ndr1_1(a57) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( sQ56_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f67,f215,f324]) ).
fof(f328,definition,
( sQ57_spl
<=> c4_2(a57,a58) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f329,plain,
( ~ sQ57_spl
| c4_2(a57,a58) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( sQ57_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f68,f215,f328]) ).
fof(f332,definition,
( sQ58_spl
<=> c1_2(a57,a58) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( sQ58_spl
| ~ c1_2(a57,a58) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,plain,
( ~ sQ58_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f69,f215,f332]) ).
fof(f336,definition,
( sQ59_spl
<=> c2_2(a57,a58) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ59_spl
| c2_2(a57,a58) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( sQ59_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f70,f215,f336]) ).
fof(f340,definition,
! [X0] :
( sQ60_spl
<=> ( c2_2(a57,X0)
| c5_2(a57,X0)
| ~ c3_2(a57,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f341,plain,
! [X0] :
( ~ sQ60_spl
| c2_2(a57,X0)
| c5_2(a57,X0)
| ~ c3_2(a57,X0) ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,plain,
( sQ60_spl
| ~ sQ56_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f71,f215,f324,f340]) ).
fof(f344,definition,
( sQ61_spl
<=> c5_1(a57) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( sQ61_spl
| ~ c5_1(a57) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( ~ sQ61_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f72,f215,f344]) ).
fof(f349,definition,
( sQ62_spl
<=> c3_2(a57,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ62_spl
| c3_2(a57,sK0_skl) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,plain,
( sQ61_spl
| sQ62_spl
| ~ sQ59_spl
| sQ58_spl
| ~ sQ57_spl
| ~ sQ56_spl
| ~ sQ1_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f74,f215,f104,f324,f328,f332,f336,f349,f344]) ).
fof(f353,definition,
( sQ63_spl
<=> c5_2(a57,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( sQ63_spl
| ~ c5_2(a57,sK0_skl) ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,plain,
( sQ61_spl
| ~ sQ63_spl
| ~ sQ59_spl
| sQ58_spl
| ~ sQ57_spl
| ~ sQ56_spl
| ~ sQ1_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f75,f215,f104,f324,f328,f332,f336,f353,f344]) ).
fof(f357,definition,
( sQ64_spl
<=> c2_2(a57,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( sQ64_spl
| ~ c2_2(a57,sK0_skl) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,plain,
( sQ61_spl
| ~ sQ64_spl
| ~ sQ59_spl
| sQ58_spl
| ~ sQ57_spl
| ~ sQ56_spl
| ~ sQ1_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f76,f215,f104,f324,f328,f332,f336,f357,f344]) ).
fof(f361,plain,
( sQ1_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f80,f256,f104]) ).
fof(f362,definition,
( sQ65_spl
<=> c1_1(a62) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ65_spl
| c1_1(a62) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( sQ65_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f81,f256,f362]) ).
fof(f366,definition,
( sQ66_spl
<=> ndr1_1(a62) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ66_spl
| ndr1_1(a62) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,definition,
! [X0] :
( sQ67_spl
<=> ( c1_2(a62,X0)
| ~ c5_2(a62,X0)
| c2_2(a62,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f370,plain,
! [X0] :
( ~ sQ67_spl
| c1_2(a62,X0)
| ~ c5_2(a62,X0)
| c2_2(a62,X0) ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,plain,
( sQ67_spl
| ~ sQ66_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f82,f256,f366,f369]) ).
fof(f373,plain,
( sQ66_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f83,f256,f366]) ).
fof(f374,definition,
( sQ68_spl
<=> c3_2(a62,a63) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f375,plain,
( ~ sQ68_spl
| c3_2(a62,a63) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f376,plain,
( sQ68_spl
| ~ c3_2(a62,a63) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,plain,
( sQ68_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f84,f256,f374]) ).
fof(f378,definition,
( sQ69_spl
<=> c5_2(a62,a63) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f379,plain,
( ~ sQ69_spl
| c5_2(a62,a63) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f380,plain,
( sQ69_spl
| ~ c5_2(a62,a63) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,plain,
( ~ sQ69_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f85,f256,f378]) ).
fof(f382,definition,
( sQ70_spl
<=> c2_2(a62,a63) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ70_spl
| c2_2(a62,a63) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f384,plain,
( sQ70_spl
| ~ c2_2(a62,a63) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,plain,
( ~ sQ70_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f86,f256,f382]) ).
fof(f387,definition,
( sQ71_spl
<=> c2_2(a62,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( sQ71_spl
| ~ c2_2(a62,sK1_skl) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( sQ70_spl
| sQ69_spl
| ~ sQ68_spl
| ~ sQ66_spl
| ~ sQ71_spl
| ~ sQ65_spl
| ~ sQ1_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f88,f256,f104,f362,f387,f366,f374,f378,f382]) ).
fof(f391,definition,
( sQ72_spl
<=> c5_2(a62,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( ~ sQ72_spl
| c5_2(a62,sK1_skl) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,plain,
( sQ70_spl
| sQ69_spl
| ~ sQ68_spl
| ~ sQ66_spl
| sQ72_spl
| ~ sQ65_spl
| ~ sQ1_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f89,f256,f104,f362,f391,f366,f374,f378,f382]) ).
fof(f395,definition,
( sQ73_spl
<=> c1_2(a62,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( sQ73_spl
| ~ c1_2(a62,sK1_skl) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( sQ70_spl
| sQ69_spl
| ~ sQ68_spl
| ~ sQ66_spl
| ~ sQ73_spl
| ~ sQ65_spl
| ~ sQ1_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f90,f256,f104,f362,f395,f366,f374,f378,f382]) ).
fof(f399,plain,
( sQ1_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f94,f289,f104]) ).
fof(f400,definition,
( sQ74_spl
<=> ndr1_1(a67) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f403,definition,
! [X0] :
( sQ75_spl
<=> ( ~ c3_2(a67,X0)
| c1_2(a67,X0)
| ~ c2_2(a67,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f404,plain,
! [X0] :
( ~ sQ75_spl
| ~ c3_2(a67,X0)
| c1_2(a67,X0)
| ~ c2_2(a67,X0) ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( sQ75_spl
| ~ sQ74_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f95,f289,f400,f403]) ).
fof(f407,definition,
( sQ76_spl
<=> c1_1(a67) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( ~ sQ76_spl
| c1_1(a67) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,plain,
( ~ sQ76_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f96,f289,f407]) ).
fof(f411,plain,
( sQ76_spl
| sQ74_spl
| ~ sQ1_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f97,f289,f104,f400,f407]) ).
fof(f412,definition,
( sQ77_spl
<=> c2_2(a67,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( ~ sQ77_spl
| c2_2(a67,sK2_skl) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f414,plain,
( sQ77_spl
| ~ c2_2(a67,sK2_skl) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,plain,
( sQ76_spl
| sQ77_spl
| ~ sQ1_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f98,f289,f104,f412,f407]) ).
fof(f416,definition,
( sQ78_spl
<=> c1_2(a67,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( sQ78_spl
| ~ c1_2(a67,sK2_skl) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( sQ76_spl
| ~ sQ78_spl
| ~ sQ1_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f99,f289,f104,f416,f407]) ).
fof(f420,definition,
( sQ79_spl
<=> c3_2(a67,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f421,plain,
( ~ sQ79_spl
| c3_2(a67,sK2_skl) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f422,plain,
( sQ79_spl
| ~ c3_2(a67,sK2_skl) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,plain,
( sQ76_spl
| sQ79_spl
| ~ sQ1_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f100,f289,f104,f420,f407]) ).
fof(f424,plain,
( sQ34_spl
| ~ sQ38_spl
| c5_2(a60,a61) ),
inference(resolution,[status(thm)],[f253,f238]) ).
fof(f425,plain,
( sQ34_spl
| ~ sQ38_spl
| sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f424,f246]) ).
fof(f426,plain,
( sQ34_spl
| ~ sQ38_spl
| sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f425]) ).
fof(f427,plain,
( ~ sQ53_spl
| ~ sQ67_spl
| c3_1(a62)
| c4_1(a62)
| c1_2(a62,a69)
| c2_2(a62,a69) ),
inference(resolution,[status(thm)],[f370,f312]) ).
fof(f428,definition,
( sQ80_spl
<=> c2_2(a62,a69) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( ~ sQ80_spl
| c2_2(a62,a69) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,definition,
( sQ81_spl
<=> c1_2(a62,a69) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ81_spl
| c1_2(a62,a69) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,definition,
( sQ82_spl
<=> c4_1(a62) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( ~ sQ82_spl
| c4_1(a62) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ83_spl
<=> c3_1(a62) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ83_spl
| c3_1(a62) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,plain,
( ~ sQ53_spl
| ~ sQ67_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f427,f428,f431,f434,f437,f369,f311]) ).
fof(f441,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| c2_2(a57,sK0_skl)
| c5_2(a57,sK0_skl) ),
inference(resolution,[status(thm)],[f341,f350]) ).
fof(f442,plain,
( ~ sQ62_spl
| ~ sQ60_spl
| sQ64_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f441,f353,f357,f340,f349]) ).
fof(f443,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ2_spl
| c1_2(a55,X0)
| c5_2(a55,X0)
| c4_2(a55,X0)
| ~ ndr1_1(a55)
| c3_1(a55)
| c5_1(a55) ),
inference(resolution,[status(thm)],[f108,f212]) ).
fof(f444,plain,
( ~ sQ62_spl
| ~ sQ2_spl
| c4_2(a57,sK0_skl)
| ~ ndr1_1(a57)
| c3_1(a57)
| c5_1(a57) ),
inference(resolution,[status(thm)],[f108,f350]) ).
fof(f445,definition,
( sQ84_spl
<=> c3_1(a55) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( ~ sQ84_spl
| c3_1(a55) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,definition,
! [X0] :
( sQ85_spl
<=> ( c1_2(a55,X0)
| c5_2(a55,X0)
| c4_2(a55,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f449,plain,
! [X0] :
( ~ sQ85_spl
| c1_2(a55,X0)
| c5_2(a55,X0)
| c4_2(a55,X0) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,plain,
( ~ sQ28_spl
| ~ sQ2_spl
| sQ85_spl
| ~ sQ23_spl
| sQ84_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f443,f207,f445,f191,f448,f107,f211]) ).
fof(f452,definition,
( sQ86_spl
<=> c3_1(a57) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ86_spl
| c3_1(a57) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,definition,
( sQ87_spl
<=> c4_2(a57,sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ87_spl
| c4_2(a57,sK0_skl) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( ~ sQ62_spl
| ~ sQ2_spl
| sQ87_spl
| ~ sQ56_spl
| sQ86_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f444,f344,f452,f324,f455,f107,f349]) ).
fof(f459,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ52_spl
| c3_2(a57,X0)
| c4_2(a57,X0)
| c2_2(a57,X0)
| c3_1(a57)
| ~ c5_1(a57) ),
inference(resolution,[status(thm)],[f308,f325]) ).
fof(f460,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ52_spl
| c3_2(a62,X0)
| c4_2(a62,X0)
| c2_2(a62,X0)
| c3_1(a62)
| ~ c5_1(a62) ),
inference(resolution,[status(thm)],[f308,f367]) ).
fof(f461,plain,
! [X0,X1] :
( ~ sQ51_spl
| ~ sQ52_spl
| c3_1(X0)
| c4_1(X0)
| c3_2(X0,X1)
| c4_2(X0,X1)
| c2_2(X0,X1)
| c3_1(X0)
| ~ c5_1(X0) ),
inference(resolution,[status(thm)],[f308,f305]) ).
fof(f462,definition,
! [X0] :
( sQ88_spl
<=> ( c3_2(a57,X0)
| c4_2(a57,X0)
| c2_2(a57,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f463,plain,
! [X0] :
( ~ sQ88_spl
| c3_2(a57,X0)
| c4_2(a57,X0)
| c2_2(a57,X0) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,plain,
( ~ sQ56_spl
| ~ sQ52_spl
| sQ88_spl
| sQ86_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f459,f344,f452,f462,f307,f324]) ).
fof(f466,definition,
( sQ89_spl
<=> c5_1(a62) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( sQ89_spl
| ~ c5_1(a62) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,definition,
! [X0] :
( sQ90_spl
<=> ( c3_2(a62,X0)
| c4_2(a62,X0)
| c2_2(a62,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f470,plain,
! [X0] :
( ~ sQ90_spl
| c3_2(a62,X0)
| c4_2(a62,X0)
| c2_2(a62,X0) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,plain,
( ~ sQ66_spl
| ~ sQ52_spl
| sQ90_spl
| sQ83_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f460,f466,f437,f469,f307,f366]) ).
fof(f473,plain,
! [X0,X1] :
( ~ sQ51_spl
| ~ sQ52_spl
| c4_1(X0)
| c3_2(X0,X1)
| c4_2(X0,X1)
| c2_2(X0,X1)
| c3_1(X0)
| ~ c5_1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f461]) ).
fof(f474,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ13_spl
| c5_2(a60,X0)
| c1_2(a60,a52)
| c4_1(a60)
| ~ c2_2(a60,X0)
| c3_2(a60,X0)
| ~ ndr1_1(a60) ),
inference(resolution,[status(thm)],[f151,f253]) ).
fof(f475,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ13_spl
| c3_1(X0)
| c4_1(X0)
| c1_2(X0,a52)
| c4_1(X0)
| ~ c2_2(X0,a69)
| c3_2(X0,a69)
| ~ ndr1_1(X0) ),
inference(resolution,[status(thm)],[f151,f320]) ).
fof(f476,definition,
! [X0] :
( sQ91_spl
<=> ( c5_2(a60,X0)
| ~ c2_2(a60,X0)
| c3_2(a60,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f477,plain,
! [X0] :
( ~ sQ91_spl
| c5_2(a60,X0)
| ~ c2_2(a60,X0)
| c3_2(a60,X0) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,definition,
( sQ92_spl
<=> c4_1(a60) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ92_spl
| c4_1(a60) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,definition,
( sQ93_spl
<=> c1_2(a60,a52) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ93_spl
| c1_2(a60,a52) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,plain,
( ~ sQ38_spl
| ~ sQ13_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f474,f232,f476,f479,f482,f150,f252]) ).
fof(f486,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ13_spl
| c3_1(X0)
| c1_2(X0,a52)
| c4_1(X0)
| ~ c2_2(X0,a69)
| c3_2(X0,a69)
| ~ ndr1_1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f475]) ).
fof(f487,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ13_spl
| ~ sQ51_spl
| c3_1(X0)
| c1_2(X0,a52)
| c4_1(X0)
| ~ c2_2(X0,a69)
| c3_2(X0,a69) ),
inference(forward_subsumption_resolution,[status(thm)],[f486,f305]) ).
fof(f488,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ12_spl
| c3_1(X0)
| c4_1(X0)
| ~ c2_2(X0,a52)
| c4_1(X0)
| ~ c2_2(X0,a69)
| c3_2(X0,a69)
| ~ ndr1_1(X0) ),
inference(resolution,[status(thm)],[f147,f320]) ).
fof(f489,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ12_spl
| c3_1(X0)
| ~ c2_2(X0,a52)
| c4_1(X0)
| ~ c2_2(X0,a69)
| c3_2(X0,a69)
| ~ ndr1_1(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f488]) ).
fof(f490,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ12_spl
| ~ sQ51_spl
| c3_1(X0)
| ~ c2_2(X0,a52)
| c4_1(X0)
| ~ c2_2(X0,a69)
| c3_2(X0,a69) ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f305]) ).
fof(f491,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ85_spl
| ~ c2_2(a55,a52)
| c4_1(a55)
| ~ c2_2(a55,X0)
| c3_2(a55,X0)
| ~ ndr1_1(a55)
| c1_2(a55,X0)
| c5_2(a55,X0) ),
inference(resolution,[status(thm)],[f449,f147]) ).
fof(f492,definition,
! [X0] :
( sQ94_spl
<=> ( ~ c2_2(a55,X0)
| c3_2(a55,X0)
| c1_2(a55,X0)
| c5_2(a55,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f493,plain,
! [X0] :
( ~ sQ94_spl
| ~ c2_2(a55,X0)
| c3_2(a55,X0)
| c1_2(a55,X0)
| c5_2(a55,X0) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,definition,
( sQ95_spl
<=> c4_1(a55) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( ~ sQ95_spl
| c4_1(a55) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,definition,
( sQ96_spl
<=> c2_2(a55,a52) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( sQ96_spl
| ~ c2_2(a55,a52) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,plain,
( ~ sQ12_spl
| ~ sQ85_spl
| ~ sQ96_spl
| sQ95_spl
| ~ sQ23_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f491,f492,f191,f495,f498,f448,f146]) ).
fof(f502,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ90_spl
| c4_2(a62,X0)
| ~ ndr1_1(a62)
| c3_1(a62)
| c5_1(a62)
| c4_2(a62,X0)
| c2_2(a62,X0) ),
inference(resolution,[status(thm)],[f470,f108]) ).
fof(f503,definition,
! [X0] :
( sQ97_spl
<=> ( c4_2(a62,X0)
| c4_2(a62,X0)
| c2_2(a62,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f504,plain,
! [X0] :
( ~ sQ97_spl
| c4_2(a62,X0)
| c4_2(a62,X0)
| c2_2(a62,X0) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,plain,
( ~ sQ2_spl
| ~ sQ90_spl
| ~ sQ66_spl
| sQ83_spl
| sQ89_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f502,f503,f466,f437,f366,f469,f107]) ).
fof(f507,plain,
! [X0] :
( ~ sQ97_spl
| c4_2(a62,X0)
| c2_2(a62,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f504]) ).
fof(f508,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ88_spl
| c4_2(a57,X0)
| ~ ndr1_1(a57)
| c3_1(a57)
| c5_1(a57)
| c4_2(a57,X0)
| c2_2(a57,X0) ),
inference(resolution,[status(thm)],[f463,f108]) ).
fof(f509,definition,
! [X0] :
( sQ98_spl
<=> ( c4_2(a57,X0)
| c4_2(a57,X0)
| c2_2(a57,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f510,plain,
! [X0] :
( ~ sQ98_spl
| c4_2(a57,X0)
| c4_2(a57,X0)
| c2_2(a57,X0) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( ~ sQ2_spl
| ~ sQ88_spl
| ~ sQ56_spl
| sQ86_spl
| sQ61_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f508,f509,f344,f452,f324,f462,f107]) ).
fof(f513,plain,
! [X0] :
( ~ sQ98_spl
| c4_2(a57,X0)
| c2_2(a57,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f510]) ).
fof(f514,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ51_spl
| ~ sQ52_spl
| c4_1(a60)
| c3_2(a60,X0)
| c4_2(a60,X0)
| c2_2(a60,X0)
| c3_1(a60) ),
inference(resolution,[status(thm)],[f473,f249]) ).
fof(f515,definition,
( sQ99_spl
<=> c3_1(a60) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ99_spl
| c3_1(a60) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,definition,
! [X0] :
( sQ100_spl
<=> ( c3_2(a60,X0)
| c4_2(a60,X0)
| c2_2(a60,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f519,plain,
! [X0] :
( ~ sQ100_spl
| c3_2(a60,X0)
| c4_2(a60,X0)
| c2_2(a60,X0) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,plain,
( ~ sQ37_spl
| ~ sQ51_spl
| ~ sQ52_spl
| sQ92_spl
| sQ100_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f514,f515,f518,f479,f307,f304,f248]) ).
fof(f522,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ100_spl
| c4_2(a60,X0)
| ~ ndr1_1(a60)
| c3_1(a60)
| c5_1(a60)
| c4_2(a60,X0)
| c2_2(a60,X0) ),
inference(resolution,[status(thm)],[f519,f108]) ).
fof(f523,definition,
! [X0] :
( sQ101_spl
<=> ( c4_2(a60,X0)
| c4_2(a60,X0)
| c2_2(a60,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f524,plain,
! [X0] :
( ~ sQ101_spl
| c4_2(a60,X0)
| c4_2(a60,X0)
| c2_2(a60,X0) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,plain,
( ~ sQ2_spl
| ~ sQ100_spl
| ~ sQ33_spl
| sQ99_spl
| sQ37_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f522,f523,f248,f515,f232,f518,f107]) ).
fof(f527,plain,
! [X0] :
( ~ sQ101_spl
| c4_2(a60,X0)
| c2_2(a60,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f524]) ).
fof(f528,plain,
( ~ sQ79_spl
| ~ sQ75_spl
| c1_2(a67,sK2_skl)
| ~ c2_2(a67,sK2_skl) ),
inference(resolution,[status(thm)],[f404,f421]) ).
fof(f529,plain,
( ~ sQ79_spl
| ~ sQ75_spl
| sQ78_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f528,f412,f416,f403,f420]) ).
fof(f530,plain,
( ~ sQ79_spl
| ~ sQ2_spl
| c4_2(a67,sK2_skl)
| ~ ndr1_1(a67)
| c3_1(a67)
| c5_1(a67) ),
inference(resolution,[status(thm)],[f108,f421]) ).
fof(f532,definition,
( sQ102_spl
<=> c5_1(a67) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ102_spl
| c5_1(a67) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,definition,
( sQ103_spl
<=> c3_1(a67) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( ~ sQ103_spl
| c3_1(a67) ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,definition,
( sQ104_spl
<=> c4_2(a67,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f539,plain,
( ~ sQ104_spl
| c4_2(a67,sK2_skl) ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,plain,
( ~ sQ79_spl
| ~ sQ2_spl
| sQ104_spl
| ~ sQ74_spl
| sQ103_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f530,f532,f535,f400,f538,f107,f420]) ).
fof(f543,plain,
( ~ sQ55_spl
| ~ sQ49_spl
| c3_1(a68)
| c4_1(a68)
| c3_2(a68,a69)
| ~ c5_2(a68,a69) ),
inference(resolution,[status(thm)],[f297,f320]) ).
fof(f544,definition,
( sQ105_spl
<=> c5_2(a68,a69) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( sQ105_spl
| ~ c5_2(a68,a69) ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,definition,
( sQ106_spl
<=> c3_2(a68,a69) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( ~ sQ106_spl
| c3_2(a68,a69) ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,definition,
( sQ107_spl
<=> c4_1(a68) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( ~ sQ107_spl
| c4_1(a68) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,plain,
( ~ sQ55_spl
| ~ sQ49_spl
| sQ50_spl
| sQ107_spl
| sQ106_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f543,f544,f547,f550,f300,f296,f319]) ).
fof(f554,plain,
( ~ sQ54_spl
| ~ sQ81_spl
| c3_1(a62)
| c4_1(a62) ),
inference(resolution,[status(thm)],[f432,f316]) ).
fof(f555,plain,
( ~ sQ54_spl
| ~ sQ81_spl
| sQ83_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f554,f434,f437,f431,f315]) ).
fof(model,axiom,
( sQ0_spl
| sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sQ6_spl
| sQ7_spl
| sQ8_spl
| sQ9_spl
| ~ sQ10_spl
| sQ11_spl
| sQ14_spl
| ~ sQ15_spl
| sQ16_spl
| sQ17_spl
| sQ18_spl
| ~ sQ19_spl
| sQ20_spl
| sQ21_spl
| sQ22_spl
| ~ sQ23_spl
| sQ24_spl
| ~ sQ25_spl
| sQ26_spl
| sQ27_spl
| ~ sQ29_spl
| ~ sQ30_spl
| sQ31_spl
| sQ32_spl
| ~ sQ33_spl
| ~ sQ35_spl
| ~ sQ38_spl
| ~ sQ39_spl
| ~ sQ40_spl
| sQ41_spl
| sQ42_spl
| sQ43_spl
| ~ sQ44_spl
| sQ45_spl
| sQ46_spl
| ~ sQ47_spl
| ~ sQ48_spl
| sQ56_spl
| sQ57_spl
| ~ sQ58_spl
| sQ59_spl
| ~ sQ60_spl
| ~ sQ61_spl
| sQ62_spl
| ~ sQ63_spl
| ~ sQ64_spl
| sQ65_spl
| sQ66_spl
| ~ sQ68_spl
| sQ69_spl
| sQ70_spl
| ~ sQ71_spl
| sQ72_spl
| ~ sQ73_spl
| sQ76_spl
| ~ sQ79_spl
| sQ80_spl
| sQ82_spl
| sQ83_spl
| sQ84_spl
| sQ86_spl
| sQ87_spl
| sQ91_spl
| sQ92_spl
| sQ93_spl
| sQ94_spl
| sQ95_spl
| ~ sQ96_spl
| sQ97_spl
| sQ98_spl
| sQ99_spl
| sQ101_spl
| sQ102_spl
| sQ103_spl
| sQ104_spl
| ~ sQ105_spl
| sQ106_spl
| sQ107_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN517+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/10.58 % Computer : n010.cluster.edu
% 0.08/10.58 % Model : x86_64 x86_64
% 0.08/10.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.58 % Memory : 8046.5625MB
% 0.08/10.58 % OS : Linux 6.8.0-71-generic
% 0.08/10.58 % CPULimit : 300
% 0.08/10.58 % WCLimit : 300
% 0.08/10.58 % DateTime : Mon Sep 21 11:05:05 UTC 2026
% 0.08/10.58 % CPUTime :
% 0.08/10.59 % Drodi V4.1.1
% 0.14/10.62 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.14/10.62 % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/10.64 % Elapsed time: 0.050475 seconds
% 0.14/10.64 % CPU time: 0.133726 seconds
% 0.14/10.64 % Total memory used: 20.590 MB
% 0.14/10.64 % Net memory used: 20.499 MB
%------------------------------------------------------------------------------