%------------------------------------------------------------------------------
% 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 : n007.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 : Satisfiable 0.14s 0.39s
% Output : Saturation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( c2_0
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( c5_0
| c4_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( ssSkC2
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( ssSkC1
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( ssSkC0
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( c3_0
| ndr1_0
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( c2_0
| ndr1_1(a65) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( c3_0
| ndr1_0
| ~ ssSkC0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( ssSkC1
| ndr1_1(a62) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( ssSkC1
| c1_1(a62) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( ssSkC0
| ndr1_1(a57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( c2_0
| c5_2(a65,a66) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( c2_0
| c4_2(a65,a66) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( ndr1_0
| ~ c5_0
| ~ ssSkC1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( c3_0
| c2_1(a59)
| ~ ssSkC0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( c3_0
| c5_1(a59)
| ~ ssSkC0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( c2_0
| c1_0
| ndr1_1(a53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( c2_0
| c1_0
| c5_1(a53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( c2_0
| c1_0
| c1_1(a53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( ssSkC2
| ~ c1_1(a67) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( ssSkC1
| c3_2(a62,a63) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( ssSkC0
| c4_2(a57,a58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( ssSkC0
| c2_2(a57,a58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( ssSkC0
| ~ c5_1(a57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( c3_0
| ~ c3_1(a68)
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( c2_0
| ~ c3_2(a65,a66) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( c2_1(a64)
| ~ c5_0
| ~ ssSkC1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( ndr1_0
| ~ c3_0
| ~ c5_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( c3_0
| ~ c4_1(a59)
| ~ ssSkC0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( ndr1_0
| ~ c4_0
| ~ c2_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( c2_0
| c1_0
| c3_2(a53,a54) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( c2_0
| c1_0
| c2_2(a53,a54) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( c5_0
| ~ c3_0
| ~ c2_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( ssSkC1
| ~ c5_2(a62,a63) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( ssSkC1
| ~ c2_2(a62,a63) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( ssSkC0
| ~ c1_2(a57,a58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( ~ c5_0
| ~ c5_1(a64)
| ~ ssSkC1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( ndr1_1(a60)
| ~ c3_0
| ~ c5_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( c5_1(a60)
| ~ c3_0
| ~ c5_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( ndr1_1(a55)
| ~ c4_0
| ~ c2_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( c5_1(a55)
| ~ c4_0
| ~ c2_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( c2_0
| c1_0
| ~ c1_2(a53,a54) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( c4_2(a55,a56)
| ~ c4_0
| ~ c2_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( c1_2(a55,a56)
| ~ c4_0
| ~ c2_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( ~ c3_0
| ~ c5_0
| ~ c4_2(a60,a61) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( ~ c3_0
| ~ c5_0
| ~ c1_2(a60,a61) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( ~ c3_0
| ~ c5_0
| ~ c5_2(a60,a61) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( ~ c4_0
| ~ c2_0
| ~ c3_2(a55,a56) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
! [U] :
( c2_0
| ~ ndr1_1(a65)
| ~ c3_2(a65,U)
| ~ c1_2(a65,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
! [U] :
( c4_2(a60,U)
| c5_2(a60,U)
| ~ c3_0
| ~ c5_0
| ~ ndr1_1(a60) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
! [U] :
( ssSkC1
| c1_2(a62,U)
| c2_2(a62,U)
| ~ ndr1_1(a62)
| ~ c5_2(a62,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
! [U] :
( ssSkC0
| c2_2(a57,U)
| c5_2(a57,U)
| ~ ndr1_1(a57)
| ~ c3_2(a57,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
! [U] :
( ssSkC2
| c1_2(a67,U)
| ~ ndr1_1(a67)
| ~ c3_2(a67,U)
| ~ c2_2(a67,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
! [U] :
( c3_0
| c3_2(a68,U)
| ~ ndr1_1(a68)
| ~ c5_2(a68,U)
| ~ c4_2(a68,U)
| ~ ssSkC2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
! [U] :
( c1_2(a55,U)
| c5_2(a55,U)
| c3_2(a55,U)
| ~ c4_0
| ~ c2_0
| ~ ndr1_1(a55) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
! [U,V] :
( c1_0
| ndr1_1(a50)
| c3_1(U)
| c5_1(U)
| c4_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
! [U,V] :
( c1_0
| c3_1(a50)
| c3_1(U)
| c5_1(U)
| c4_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
! [U,V] :
( c1_0
| c3_2(a50,a51)
| c3_1(U)
| c5_1(U)
| c4_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
! [U,V] :
( c1_0
| c3_1(U)
| c5_1(U)
| c4_2(U,V)
| ~ c1_2(a50,a51)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
! [U,V] :
( c1_0
| c3_1(U)
| c5_1(U)
| c4_2(U,V)
| ~ c4_2(a50,a51)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
! [U,V,W] :
( c4_0
| c3_1(W)
| c4_1(W)
| ndr1_1(W)
| c3_1(U)
| c3_2(U,V)
| c4_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ c5_1(U)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
! [U,V] :
( c4_1(U)
| c1_2(U,a52)
| c3_2(U,V)
| ~ c1_0
| ~ c5_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
! [U,V,W] :
( c4_0
| c3_1(W)
| c4_1(W)
| c5_2(W,a69)
| c3_1(U)
| c3_2(U,V)
| c4_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ c5_1(U)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
! [U,V,W] :
( c4_0
| c3_1(W)
| c4_1(W)
| c4_2(W,a69)
| c3_1(U)
| c3_2(U,V)
| c4_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ c5_1(U)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,negated_conjecture,
! [U,V] :
( c4_1(U)
| c3_2(U,V)
| ~ c1_0
| ~ c5_0
| ~ ndr1_0
| ~ c3_2(U,a52)
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
! [U,V] :
( c4_1(U)
| c3_2(U,V)
| ~ c1_0
| ~ c5_0
| ~ ndr1_0
| ~ c2_2(U,a52)
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c4_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
! [U,V,W] :
( c4_0
| c3_1(V)
| c4_1(V)
| c3_1(U)
| c3_2(U,W)
| c4_2(U,W)
| c2_2(U,W)
| ~ c1_2(V,a69)
| ~ ndr1_0
| ~ c5_1(U)
| ~ ndr1_1(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
! [U,V,W] :
( c1_0
| c3_2(a50,W)
| c4_2(a50,W)
| c3_1(U)
| c5_1(U)
| c4_2(U,V)
| ~ ndr1_1(a50)
| ~ c2_2(a50,W)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,plain,
( c2_0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f70,plain,
( c5_0
| c4_0 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( ssSkC2
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f72,plain,
( ssSkC1
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f73,plain,
( ssSkC0
| ndr1_0 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f74,plain,
( c3_0
| ndr1_0
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f75,plain,
( c2_0
| ndr1_1(a65) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f76,plain,
( c3_0
| ndr1_0
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f77,plain,
( ssSkC1
| ndr1_1(a62) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f78,plain,
( ssSkC1
| c1_1(a62) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f79,plain,
( ssSkC0
| ndr1_1(a57) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f80,plain,
( c2_0
| c5_2(a65,a66) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f81,plain,
( c2_0
| c4_2(a65,a66) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f82,plain,
( ndr1_0
| ~ c5_0
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f83,plain,
( c3_0
| c2_1(a59)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f84,plain,
( c3_0
| c5_1(a59)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f85,plain,
( c2_0
| c1_0
| ndr1_1(a53) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f86,plain,
( c2_0
| c1_0
| c5_1(a53) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f87,plain,
( c2_0
| c1_0
| c1_1(a53) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f88,plain,
( ssSkC2
| ~ c1_1(a67) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f89,plain,
( ssSkC1
| c3_2(a62,a63) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f90,plain,
( ssSkC0
| c4_2(a57,a58) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f91,plain,
( ssSkC0
| c2_2(a57,a58) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f92,plain,
( ssSkC0
| ~ c5_1(a57) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f93,plain,
( c3_0
| ~ c3_1(a68)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f94,plain,
( c2_0
| ~ c3_2(a65,a66) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f95,plain,
( c2_1(a64)
| ~ c5_0
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f96,plain,
( ndr1_0
| ~ c3_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f97,plain,
( c3_0
| ~ c4_1(a59)
| ~ ssSkC0 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f98,plain,
( ndr1_0
| ~ c4_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f99,plain,
( c2_0
| c1_0
| c3_2(a53,a54) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f100,plain,
( c2_0
| c1_0
| c2_2(a53,a54) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f101,plain,
( c5_0
| ~ c3_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f102,plain,
( ssSkC1
| ~ c5_2(a62,a63) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f103,plain,
( ssSkC1
| ~ c2_2(a62,a63) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f104,plain,
( ssSkC0
| ~ c1_2(a57,a58) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f105,plain,
( ~ c5_0
| ~ c5_1(a64)
| ~ ssSkC1 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f106,plain,
( ndr1_1(a60)
| ~ c3_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f107,plain,
( c5_1(a60)
| ~ c3_0
| ~ c5_0 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f108,plain,
( ndr1_1(a55)
| ~ c4_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f109,plain,
( c5_1(a55)
| ~ c4_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f110,plain,
( c2_0
| c1_0
| ~ c1_2(a53,a54) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f111,plain,
( c4_2(a55,a56)
| ~ c4_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f112,plain,
( c1_2(a55,a56)
| ~ c4_0
| ~ c2_0 ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f113,plain,
( ~ c3_0
| ~ c5_0
| ~ c4_2(a60,a61) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f114,plain,
( ~ c3_0
| ~ c5_0
| ~ c1_2(a60,a61) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f115,plain,
( ~ c3_0
| ~ c5_0
| ~ c5_2(a60,a61) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f116,plain,
( ~ c4_0
| ~ c2_0
| ~ c3_2(a55,a56) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f117,plain,
( c2_0
| ~ ndr1_1(a65)
| ! [U] :
( ~ c3_2(a65,U)
| ~ c1_2(a65,U) ) ),
inference(miniscoping,[status(thm)],[f49]) ).
fof(f118,plain,
! [X0] :
( c2_0
| ~ ndr1_1(a65)
| ~ c3_2(a65,X0)
| ~ c1_2(a65,X0) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f119,plain,
! [X0] :
( c4_2(a60,X0)
| c5_2(a60,X0)
| ~ c3_0
| ~ c5_0
| ~ ndr1_1(a60) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f120,plain,
( ssSkC1
| ! [U] :
( c1_2(a62,U)
| c2_2(a62,U)
| ~ ndr1_1(a62)
| ~ c5_2(a62,U) ) ),
inference(miniscoping,[status(thm)],[f51]) ).
fof(f121,plain,
! [X0] :
( ssSkC1
| c1_2(a62,X0)
| c2_2(a62,X0)
| ~ ndr1_1(a62)
| ~ c5_2(a62,X0) ),
inference(cnf_transformation,[status(thm)],[f120]) ).
fof(f122,plain,
( ssSkC0
| ! [U] :
( c2_2(a57,U)
| c5_2(a57,U)
| ~ ndr1_1(a57)
| ~ c3_2(a57,U) ) ),
inference(miniscoping,[status(thm)],[f52]) ).
fof(f123,plain,
! [X0] :
( ssSkC0
| c2_2(a57,X0)
| c5_2(a57,X0)
| ~ ndr1_1(a57)
| ~ c3_2(a57,X0) ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f124,plain,
( ssSkC2
| ! [U] :
( c1_2(a67,U)
| ~ ndr1_1(a67)
| ~ c3_2(a67,U)
| ~ c2_2(a67,U) ) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f125,plain,
! [X0] :
( ssSkC2
| c1_2(a67,X0)
| ~ ndr1_1(a67)
| ~ c3_2(a67,X0)
| ~ c2_2(a67,X0) ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f126,plain,
( c3_0
| ! [U] :
( c3_2(a68,U)
| ~ ndr1_1(a68)
| ~ c5_2(a68,U)
| ~ c4_2(a68,U)
| ~ ssSkC2 ) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f127,plain,
! [X0] :
( c3_0
| c3_2(a68,X0)
| ~ ndr1_1(a68)
| ~ c5_2(a68,X0)
| ~ c4_2(a68,X0)
| ~ ssSkC2 ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f128,plain,
! [X0] :
( c1_2(a55,X0)
| c5_2(a55,X0)
| c3_2(a55,X0)
| ~ c4_0
| ~ c2_0
| ~ ndr1_1(a55) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f129,plain,
( c1_0
| ndr1_1(a50)
| ! [U] :
( c3_1(U)
| c5_1(U)
| ! [V] :
( c4_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f56]) ).
fof(f130,plain,
! [X0,X1] :
( c1_0
| ndr1_1(a50)
| c3_1(X0)
| c5_1(X0)
| c4_2(X0,X1)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f131,plain,
( c1_0
| c3_1(a50)
| ! [U] :
( c3_1(U)
| c5_1(U)
| ! [V] :
( c4_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f57]) ).
fof(f132,plain,
! [X0,X1] :
( c1_0
| c3_1(a50)
| c3_1(X0)
| c5_1(X0)
| c4_2(X0,X1)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f133,plain,
( c1_0
| c3_2(a50,a51)
| ! [U] :
( c3_1(U)
| c5_1(U)
| ! [V] :
( c4_2(U,V)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f58]) ).
fof(f134,plain,
! [X0,X1] :
( c1_0
| c3_2(a50,a51)
| c3_1(X0)
| c5_1(X0)
| c4_2(X0,X1)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f135,plain,
( c1_0
| ! [U] :
( c3_1(U)
| c5_1(U)
| ! [V] :
( c4_2(U,V)
| ~ c1_2(a50,a51)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f59]) ).
fof(f136,plain,
! [X0,X1] :
( c1_0
| c3_1(X0)
| c5_1(X0)
| c4_2(X0,X1)
| ~ c1_2(a50,a51)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f137,plain,
( c1_0
| ! [U] :
( c3_1(U)
| c5_1(U)
| ! [V] :
( c4_2(U,V)
| ~ c4_2(a50,a51)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V) ) ) ),
inference(miniscoping,[status(thm)],[f60]) ).
fof(f138,plain,
! [X0,X1] :
( c1_0
| c3_1(X0)
| c5_1(X0)
| c4_2(X0,X1)
| ~ c4_2(a50,a51)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f139,plain,
( c4_0
| ! [W] :
( c3_1(W)
| c4_1(W)
| ndr1_1(W)
| ! [U] :
( c3_1(U)
| ! [V] :
( c3_2(U,V)
| c4_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ c5_1(U)
| ~ ndr1_1(U) ) ) ) ),
inference(miniscoping,[status(thm)],[f61]) ).
fof(f140,plain,
! [X0,X1,X2] :
( c4_0
| c3_1(X2)
| c4_1(X2)
| ndr1_1(X2)
| c3_1(X0)
| c3_2(X0,X1)
| c4_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_0
| ~ c5_1(X0)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f141,plain,
! [U] :
( c4_1(U)
| c1_2(U,a52)
| ! [V] :
( c3_2(U,V)
| ~ c1_0
| ~ c5_0
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c4_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f62]) ).
fof(f142,plain,
! [X0,X1] :
( c4_1(X0)
| c1_2(X0,a52)
| c3_2(X0,X1)
| ~ c1_0
| ~ c5_0
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f143,plain,
( c4_0
| ! [W] :
( c3_1(W)
| c4_1(W)
| c5_2(W,a69)
| ! [U] :
( c3_1(U)
| ! [V] :
( c3_2(U,V)
| c4_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ c5_1(U)
| ~ ndr1_1(U) ) ) ) ),
inference(miniscoping,[status(thm)],[f63]) ).
fof(f144,plain,
! [X0,X1,X2] :
( c4_0
| c3_1(X2)
| c4_1(X2)
| c5_2(X2,a69)
| c3_1(X0)
| c3_2(X0,X1)
| c4_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_0
| ~ c5_1(X0)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f145,plain,
( c4_0
| ! [W] :
( c3_1(W)
| c4_1(W)
| c4_2(W,a69)
| ! [U] :
( c3_1(U)
| ! [V] :
( c3_2(U,V)
| c4_2(U,V)
| c2_2(U,V)
| ~ ndr1_0
| ~ c5_1(U)
| ~ ndr1_1(U) ) ) ) ),
inference(miniscoping,[status(thm)],[f64]) ).
fof(f146,plain,
! [X0,X1,X2] :
( c4_0
| c3_1(X2)
| c4_1(X2)
| c4_2(X2,a69)
| c3_1(X0)
| c3_2(X0,X1)
| c4_2(X0,X1)
| c2_2(X0,X1)
| ~ ndr1_0
| ~ c5_1(X0)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f147,plain,
! [U] :
( c4_1(U)
| ! [V] :
( c3_2(U,V)
| ~ c1_0
| ~ c5_0
| ~ ndr1_0
| ~ c3_2(U,a52)
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c4_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f65]) ).
fof(f148,plain,
! [X0,X1] :
( c4_1(X0)
| c3_2(X0,X1)
| ~ c1_0
| ~ c5_0
| ~ ndr1_0
| ~ c3_2(X0,a52)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f149,plain,
! [U] :
( c4_1(U)
| ! [V] :
( c3_2(U,V)
| ~ c1_0
| ~ c5_0
| ~ ndr1_0
| ~ c2_2(U,a52)
| ~ ndr1_1(U)
| ~ c2_2(U,V)
| ~ c4_2(U,V) ) ),
inference(miniscoping,[status(thm)],[f66]) ).
fof(f150,plain,
! [X0,X1] :
( c4_1(X0)
| c3_2(X0,X1)
| ~ c1_0
| ~ c5_0
| ~ ndr1_0
| ~ c2_2(X0,a52)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
( c4_0
| ! [V] :
( c3_1(V)
| c4_1(V)
| ! [U] :
( c3_1(U)
| ! [W] :
( c3_2(U,W)
| c4_2(U,W)
| c2_2(U,W)
| ~ c1_2(V,a69)
| ~ ndr1_0
| ~ c5_1(U)
| ~ ndr1_1(U) ) ) ) ),
inference(miniscoping,[status(thm)],[f67]) ).
fof(f152,plain,
! [X0,X1,X2] :
( c4_0
| c3_1(X1)
| c4_1(X1)
| c3_1(X0)
| c3_2(X0,X2)
| c4_2(X0,X2)
| c2_2(X0,X2)
| ~ c1_2(X1,a69)
| ~ ndr1_0
| ~ c5_1(X0)
| ~ ndr1_1(X0) ),
inference(cnf_transformation,[status(thm)],[f151]) ).
fof(f153,plain,
( c1_0
| ! [W] :
( c3_2(a50,W)
| c4_2(a50,W)
| ! [U] :
( c3_1(U)
| c5_1(U)
| ! [V] :
( c4_2(U,V)
| ~ ndr1_1(a50)
| ~ c2_2(a50,W)
| ~ ndr1_0
| ~ ndr1_1(U)
| ~ c3_2(U,V) ) ) ) ),
inference(miniscoping,[status(thm)],[f68]) ).
fof(f154,plain,
! [X0,X1,X2] :
( c1_0
| c3_2(a50,X2)
| c4_2(a50,X2)
| c3_1(X0)
| c5_1(X0)
| c4_2(X0,X1)
| ~ ndr1_1(a50)
| ~ c2_2(a50,X2)
| ~ ndr1_0
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f155,definition,
( sQ0_spl
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( ~ sQ0_spl
| ndr1_0 ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,definition,
( sQ1_spl
<=> c2_0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( sQ1_spl
| ~ c2_0 ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f69,f155,f158]) ).
fof(f162,definition,
( sQ2_spl
<=> c4_0 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( ~ sQ2_spl
| c4_0 ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,definition,
( sQ3_spl
<=> c5_0 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( sQ3_spl
| ~ c5_0 ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f70,f162,f165]) ).
fof(f169,definition,
( sQ4_spl
<=> ssSkC2 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( sQ4_spl
| ~ ssSkC2 ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f71,f155,f169]) ).
fof(f173,definition,
( sQ5_spl
<=> ssSkC1 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( ~ sQ5_spl
| ssSkC1 ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f72,f155,f173]) ).
fof(f177,definition,
( sQ6_spl
<=> ssSkC0 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ6_spl
| ssSkC0 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f73,f155,f177]) ).
fof(f181,definition,
( sQ7_spl
<=> c3_0 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( ~ sQ7_spl
| c3_0 ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f183,plain,
( sQ7_spl
| ~ c3_0 ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f184,plain,
( sQ7_spl
| sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f74,f169,f155,f181]) ).
fof(f185,definition,
( sQ8_spl
<=> ndr1_1(a65) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ8_spl
| ndr1_1(a65) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,plain,
( sQ1_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f75,f185,f158]) ).
fof(f189,plain,
( sQ7_spl
| sQ0_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f76,f177,f155,f181]) ).
fof(f190,definition,
( sQ9_spl
<=> ndr1_1(a62) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( sQ9_spl
| ~ ndr1_1(a62) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,plain,
( sQ5_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f77,f190,f173]) ).
fof(f194,definition,
( sQ10_spl
<=> c1_1(a62) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ10_spl
| c1_1(a62) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,plain,
( sQ5_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f78,f194,f173]) ).
fof(f198,definition,
( sQ11_spl
<=> ndr1_1(a57) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( sQ6_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f79,f198,f177]) ).
fof(f202,definition,
( sQ12_spl
<=> c5_2(a65,a66) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( ~ sQ12_spl
| c5_2(a65,a66) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( sQ1_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f80,f202,f158]) ).
fof(f206,definition,
( sQ13_spl
<=> c4_2(a65,a66) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ13_spl
| c4_2(a65,a66) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( sQ1_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f81,f206,f158]) ).
fof(f210,plain,
( sQ0_spl
| ~ sQ3_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f82,f173,f165,f155]) ).
fof(f211,definition,
( sQ14_spl
<=> c2_1(a59) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ14_spl
| c2_1(a59) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,plain,
( sQ7_spl
| sQ14_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f83,f177,f211,f181]) ).
fof(f215,definition,
( sQ15_spl
<=> c5_1(a59) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ15_spl
| c5_1(a59) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( sQ7_spl
| sQ15_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f84,f177,f215,f181]) ).
fof(f219,definition,
( sQ16_spl
<=> ndr1_1(a53) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ16_spl
| ndr1_1(a53) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f221,plain,
( sQ16_spl
| ~ ndr1_1(a53) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,definition,
( sQ17_spl
<=> c1_0 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ17_spl
| c1_0 ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,plain,
( sQ1_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f85,f219,f222,f158]) ).
fof(f226,definition,
( sQ18_spl
<=> c5_1(a53) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ18_spl
| c5_1(a53) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,plain,
( sQ1_spl
| sQ17_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f86,f226,f222,f158]) ).
fof(f230,definition,
( sQ19_spl
<=> c1_1(a53) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ19_spl
| c1_1(a53) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,plain,
( sQ1_spl
| sQ17_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f87,f230,f222,f158]) ).
fof(f234,definition,
( sQ20_spl
<=> c1_1(a67) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( sQ20_spl
| ~ c1_1(a67) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,plain,
( sQ4_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f88,f234,f169]) ).
fof(f238,definition,
( sQ21_spl
<=> c3_2(a62,a63) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ21_spl
| c3_2(a62,a63) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,plain,
( sQ5_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f89,f238,f173]) ).
fof(f242,definition,
( sQ22_spl
<=> c4_2(a57,a58) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( ~ sQ22_spl
| c4_2(a57,a58) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,plain,
( sQ6_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f90,f242,f177]) ).
fof(f246,definition,
( sQ23_spl
<=> c2_2(a57,a58) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ23_spl
| c2_2(a57,a58) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,plain,
( sQ6_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f91,f246,f177]) ).
fof(f250,definition,
( sQ24_spl
<=> c5_1(a57) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( sQ24_spl
| ~ c5_1(a57) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,plain,
( sQ6_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f92,f250,f177]) ).
fof(f254,definition,
( sQ25_spl
<=> c3_1(a68) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ25_spl
| c3_1(a68) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f256,plain,
( sQ25_spl
| ~ c3_1(a68) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,plain,
( sQ7_spl
| ~ sQ25_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f93,f169,f254,f181]) ).
fof(f258,definition,
( sQ26_spl
<=> c3_2(a65,a66) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( sQ26_spl
| ~ c3_2(a65,a66) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( sQ1_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f94,f258,f158]) ).
fof(f262,definition,
( sQ27_spl
<=> c2_1(a64) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ27_spl
| c2_1(a64) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,plain,
( sQ27_spl
| ~ sQ3_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f95,f173,f165,f262]) ).
fof(f266,plain,
( sQ0_spl
| ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f96,f165,f181,f155]) ).
fof(f267,definition,
( sQ28_spl
<=> c4_1(a59) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( sQ28_spl
| ~ c4_1(a59) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,plain,
( sQ7_spl
| ~ sQ28_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f97,f177,f267,f181]) ).
fof(f271,plain,
( sQ0_spl
| ~ sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f98,f158,f162,f155]) ).
fof(f272,definition,
( sQ29_spl
<=> c3_2(a53,a54) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ29_spl
| c3_2(a53,a54) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( sQ1_spl
| sQ17_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f99,f272,f222,f158]) ).
fof(f276,definition,
( sQ30_spl
<=> c2_2(a53,a54) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ30_spl
| c2_2(a53,a54) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( sQ1_spl
| sQ17_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f100,f276,f222,f158]) ).
fof(f280,plain,
( sQ3_spl
| ~ sQ7_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f101,f158,f181,f165]) ).
fof(f281,definition,
( sQ31_spl
<=> c5_2(a62,a63) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( sQ31_spl
| ~ c5_2(a62,a63) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,plain,
( sQ5_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f102,f281,f173]) ).
fof(f285,definition,
( sQ32_spl
<=> c2_2(a62,a63) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( sQ32_spl
| ~ c2_2(a62,a63) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,plain,
( sQ5_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f103,f285,f173]) ).
fof(f289,definition,
( sQ33_spl
<=> c1_2(a57,a58) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( sQ33_spl
| ~ c1_2(a57,a58) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,plain,
( sQ6_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f104,f289,f177]) ).
fof(f293,definition,
( sQ34_spl
<=> c5_1(a64) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( sQ34_spl
| ~ c5_1(a64) ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f296,plain,
( ~ sQ3_spl
| ~ sQ34_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f105,f173,f293,f165]) ).
fof(f297,definition,
( sQ35_spl
<=> ndr1_1(a60) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( sQ35_spl
| ~ ndr1_1(a60) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( sQ35_spl
| ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f106,f165,f181,f297]) ).
fof(f301,definition,
( sQ36_spl
<=> c5_1(a60) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( ~ sQ36_spl
| c5_1(a60) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,plain,
( sQ36_spl
| ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f107,f165,f181,f301]) ).
fof(f305,definition,
( sQ37_spl
<=> ndr1_1(a55) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f307,plain,
( sQ37_spl
| ~ ndr1_1(a55) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,plain,
( sQ37_spl
| ~ sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f108,f158,f162,f305]) ).
fof(f309,definition,
( sQ38_spl
<=> c5_1(a55) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( ~ sQ38_spl
| c5_1(a55) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,plain,
( sQ38_spl
| ~ sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f109,f158,f162,f309]) ).
fof(f313,definition,
( sQ39_spl
<=> c1_2(a53,a54) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( sQ39_spl
| ~ c1_2(a53,a54) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,plain,
( sQ1_spl
| sQ17_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f110,f313,f222,f158]) ).
fof(f317,definition,
( sQ40_spl
<=> c4_2(a55,a56) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ40_spl
| c4_2(a55,a56) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,plain,
( sQ40_spl
| ~ sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f111,f158,f162,f317]) ).
fof(f321,definition,
( sQ41_spl
<=> c1_2(a55,a56) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( ~ sQ41_spl
| c1_2(a55,a56) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,plain,
( sQ41_spl
| ~ sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f112,f158,f162,f321]) ).
fof(f325,definition,
( sQ42_spl
<=> c4_2(a60,a61) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( sQ42_spl
| ~ c4_2(a60,a61) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,plain,
( ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f113,f325,f165,f181]) ).
fof(f329,definition,
( sQ43_spl
<=> c1_2(a60,a61) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( sQ43_spl
| ~ c1_2(a60,a61) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,plain,
( ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f114,f329,f165,f181]) ).
fof(f333,definition,
( sQ44_spl
<=> c5_2(a60,a61) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( sQ44_spl
| ~ c5_2(a60,a61) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,plain,
( ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f115,f333,f165,f181]) ).
fof(f337,definition,
( sQ45_spl
<=> c3_2(a55,a56) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( sQ45_spl
| ~ c3_2(a55,a56) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f116,f337,f158,f162]) ).
fof(f341,definition,
! [X0] :
( sQ46_spl
<=> ( ~ c3_2(a65,X0)
| ~ c1_2(a65,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f342,plain,
! [X0] :
( ~ sQ46_spl
| ~ c3_2(a65,X0)
| ~ c1_2(a65,X0) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( sQ1_spl
| ~ sQ8_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f118,f341,f185,f158]) ).
fof(f345,definition,
! [X0] :
( sQ47_spl
<=> ( c4_2(a60,X0)
| c5_2(a60,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f346,plain,
! [X0] :
( ~ sQ47_spl
| c4_2(a60,X0)
| c5_2(a60,X0) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,plain,
( sQ47_spl
| ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f119,f297,f165,f181,f345]) ).
fof(f349,definition,
! [X0] :
( sQ48_spl
<=> ( c1_2(a62,X0)
| c2_2(a62,X0)
| ~ c5_2(a62,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f350,plain,
! [X0] :
( ~ sQ48_spl
| c1_2(a62,X0)
| c2_2(a62,X0)
| ~ c5_2(a62,X0) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,plain,
( sQ5_spl
| ~ sQ9_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f121,f349,f190,f173]) ).
fof(f353,definition,
! [X0] :
( sQ49_spl
<=> ( c2_2(a57,X0)
| c5_2(a57,X0)
| ~ c3_2(a57,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f354,plain,
! [X0] :
( ~ sQ49_spl
| c2_2(a57,X0)
| c5_2(a57,X0)
| ~ c3_2(a57,X0) ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,plain,
( sQ6_spl
| ~ sQ11_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f123,f353,f198,f177]) ).
fof(f357,definition,
! [X0] :
( sQ50_spl
<=> ( c1_2(a67,X0)
| ~ c3_2(a67,X0)
| ~ c2_2(a67,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f358,plain,
! [X0] :
( ~ sQ50_spl
| c1_2(a67,X0)
| ~ c3_2(a67,X0)
| ~ c2_2(a67,X0) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,definition,
( sQ51_spl
<=> ndr1_1(a67) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( sQ51_spl
| ~ ndr1_1(a67) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,plain,
( sQ4_spl
| ~ sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f125,f357,f360,f169]) ).
fof(f364,definition,
! [X0] :
( sQ52_spl
<=> ( c3_2(a68,X0)
| ~ c5_2(a68,X0)
| ~ c4_2(a68,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f365,plain,
! [X0] :
( ~ sQ52_spl
| c3_2(a68,X0)
| ~ c5_2(a68,X0)
| ~ c4_2(a68,X0) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,definition,
( sQ53_spl
<=> ndr1_1(a68) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f369,plain,
( sQ53_spl
| ~ ndr1_1(a68) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,plain,
( sQ7_spl
| ~ sQ53_spl
| sQ52_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f127,f169,f364,f367,f181]) ).
fof(f371,definition,
! [X0] :
( sQ54_spl
<=> ( c1_2(a55,X0)
| c5_2(a55,X0)
| c3_2(a55,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f372,plain,
! [X0] :
( ~ sQ54_spl
| c1_2(a55,X0)
| c5_2(a55,X0)
| c3_2(a55,X0) ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,plain,
( sQ54_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f128,f305,f158,f162,f371]) ).
fof(f375,definition,
! [X0,X1] :
( sQ55_spl
<=> ( c3_1(X0)
| c5_1(X0)
| c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f376,plain,
! [X0,X1] :
( ~ sQ55_spl
| c3_1(X0)
| c5_1(X0)
| c4_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c3_2(X0,X1) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,definition,
( sQ56_spl
<=> ndr1_1(a50) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( sQ56_spl
| ~ ndr1_1(a50) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,plain,
( sQ17_spl
| sQ56_spl
| ~ sQ0_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f130,f375,f155,f378,f222]) ).
fof(f382,definition,
( sQ57_spl
<=> c3_1(a50) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ57_spl
| c3_1(a50) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,plain,
( sQ17_spl
| sQ57_spl
| ~ sQ0_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f132,f375,f155,f382,f222]) ).
fof(f386,definition,
( sQ58_spl
<=> c3_2(a50,a51) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ58_spl
| c3_2(a50,a51) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,plain,
( sQ17_spl
| sQ58_spl
| ~ sQ0_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f134,f375,f155,f386,f222]) ).
fof(f390,definition,
( sQ59_spl
<=> c1_2(a50,a51) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( sQ59_spl
| ~ c1_2(a50,a51) ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,plain,
( sQ17_spl
| ~ sQ59_spl
| ~ sQ0_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f136,f375,f155,f390,f222]) ).
fof(f394,definition,
( sQ60_spl
<=> c4_2(a50,a51) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( sQ60_spl
| ~ c4_2(a50,a51) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,plain,
( sQ17_spl
| ~ sQ60_spl
| ~ sQ0_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f138,f375,f155,f394,f222]) ).
fof(f398,definition,
! [X0,X1] :
( sQ61_spl
<=> ( c3_1(X0)
| c3_2(X0,X1)
| c4_2(X0,X1)
| c2_2(X0,X1)
| ~ c5_1(X0)
| ~ ndr1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f399,plain,
! [X0,X1] :
( ~ sQ61_spl
| c3_1(X0)
| c3_2(X0,X1)
| c4_2(X0,X1)
| c2_2(X0,X1)
| ~ c5_1(X0)
| ~ ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
! [X2] :
( sQ62_spl
<=> ( c3_1(X2)
| c4_1(X2)
| ndr1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f402,plain,
! [X0] :
( ~ sQ62_spl
| c3_1(X0)
| c4_1(X0)
| ndr1_1(X0) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( sQ2_spl
| sQ62_spl
| ~ sQ0_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f140,f398,f155,f401,f162]) ).
fof(f405,definition,
! [X0,X1] :
( sQ63_spl
<=> ( c4_1(X0)
| c1_2(X0,a52)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f406,plain,
! [X0,X1] :
( ~ sQ63_spl
| c4_1(X0)
| c1_2(X0,a52)
| c3_2(X0,X1)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| ~ sQ0_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f142,f405,f155,f165,f222]) ).
fof(f409,definition,
! [X2] :
( sQ64_spl
<=> ( c3_1(X2)
| c4_1(X2)
| c5_2(X2,a69) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f410,plain,
! [X0] :
( ~ sQ64_spl
| c3_1(X0)
| c4_1(X0)
| c5_2(X0,a69) ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,plain,
( sQ2_spl
| sQ64_spl
| ~ sQ0_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f144,f398,f155,f409,f162]) ).
fof(f413,definition,
! [X2] :
( sQ65_spl
<=> ( c3_1(X2)
| c4_1(X2)
| c4_2(X2,a69) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f414,plain,
! [X0] :
( ~ sQ65_spl
| c3_1(X0)
| c4_1(X0)
| c4_2(X0,a69) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,plain,
( sQ2_spl
| sQ65_spl
| ~ sQ0_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f146,f398,f155,f413,f162]) ).
fof(f417,definition,
! [X0,X1] :
( sQ66_spl
<=> ( c4_1(X0)
| c3_2(X0,X1)
| ~ c3_2(X0,a52)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f418,plain,
! [X0,X1] :
( ~ sQ66_spl
| c4_1(X0)
| c3_2(X0,X1)
| ~ c3_2(X0,a52)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| ~ sQ0_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f148,f417,f155,f165,f222]) ).
fof(f421,definition,
! [X0,X1] :
( sQ67_spl
<=> ( c4_1(X0)
| c3_2(X0,X1)
| ~ c2_2(X0,a52)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f422,plain,
! [X0,X1] :
( ~ sQ67_spl
| c4_1(X0)
| c3_2(X0,X1)
| ~ c2_2(X0,a52)
| ~ ndr1_1(X0)
| ~ c2_2(X0,X1)
| ~ c4_2(X0,X1) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| ~ sQ0_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f150,f421,f155,f165,f222]) ).
fof(f425,definition,
! [X1] :
( sQ68_spl
<=> ( c3_1(X1)
| c4_1(X1)
| ~ c1_2(X1,a69) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f426,plain,
! [X0] :
( ~ sQ68_spl
| c3_1(X0)
| c4_1(X0)
| ~ c1_2(X0,a69) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,plain,
( sQ2_spl
| sQ68_spl
| ~ sQ0_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f152,f398,f155,f425,f162]) ).
fof(f429,definition,
! [X2] :
( sQ69_spl
<=> ( c3_2(a50,X2)
| c4_2(a50,X2)
| ~ c2_2(a50,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f430,plain,
! [X0] :
( ~ sQ69_spl
| c3_2(a50,X0)
| c4_2(a50,X0)
| ~ c2_2(a50,X0) ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,plain,
( sQ17_spl
| ~ sQ56_spl
| sQ69_spl
| ~ sQ0_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f154,f375,f155,f429,f378,f222]) ).
fof(f433,plain,
( sQ51_spl
| ~ sQ62_spl
| c3_1(a67)
| c4_1(a67) ),
inference(resolution,[status(thm)],[f402,f362]) ).
fof(f434,plain,
( sQ53_spl
| ~ sQ62_spl
| c3_1(a68)
| c4_1(a68) ),
inference(resolution,[status(thm)],[f402,f369]) ).
fof(f435,definition,
( sQ70_spl
<=> c4_1(a67) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f436,plain,
( ~ sQ70_spl
| c4_1(a67) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,definition,
( sQ71_spl
<=> c3_1(a67) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f439,plain,
( ~ sQ71_spl
| c3_1(a67) ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,plain,
( sQ51_spl
| ~ sQ62_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f433,f435,f438,f401,f360]) ).
fof(f442,definition,
( sQ72_spl
<=> c4_1(a68) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( ~ sQ72_spl
| c4_1(a68) ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,plain,
( sQ53_spl
| ~ sQ62_spl
| sQ25_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f434,f442,f254,f401,f367]) ).
fof(f446,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ55_spl
| c1_2(a55,X0)
| c5_2(a55,X0)
| c3_1(a55)
| c5_1(a55)
| c4_2(a55,X0)
| ~ ndr1_1(a55) ),
inference(resolution,[status(thm)],[f376,f372]) ).
fof(f447,definition,
! [X0] :
( sQ73_spl
<=> ( c1_2(a55,X0)
| c5_2(a55,X0)
| c4_2(a55,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f448,plain,
! [X0] :
( ~ sQ73_spl
| c1_2(a55,X0)
| c5_2(a55,X0)
| c4_2(a55,X0) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ74_spl
<=> c3_1(a55) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ74_spl
| c3_1(a55) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| sQ74_spl
| sQ38_spl
| sQ73_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f446,f305,f447,f309,f450,f375,f371]) ).
fof(f454,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ67_spl
| c5_2(a60,X0)
| c4_1(a60)
| c3_2(a60,X0)
| ~ c2_2(a60,a52)
| ~ ndr1_1(a60)
| ~ c2_2(a60,X0) ),
inference(resolution,[status(thm)],[f422,f346]) ).
fof(f455,plain,
( ~ sQ13_spl
| ~ sQ67_spl
| c4_1(a65)
| c3_2(a65,a66)
| ~ c2_2(a65,a52)
| ~ ndr1_1(a65)
| ~ c2_2(a65,a66) ),
inference(resolution,[status(thm)],[f422,f207]) ).
fof(f456,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ67_spl
| c3_1(X0)
| c4_1(X0)
| c4_1(X0)
| c3_2(X0,a69)
| ~ c2_2(X0,a52)
| ~ ndr1_1(X0)
| ~ c2_2(X0,a69) ),
inference(resolution,[status(thm)],[f422,f414]) ).
fof(f457,definition,
! [X0] :
( sQ75_spl
<=> ( c5_2(a60,X0)
| c3_2(a60,X0)
| ~ c2_2(a60,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f458,plain,
! [X0] :
( ~ sQ75_spl
| c5_2(a60,X0)
| c3_2(a60,X0)
| ~ c2_2(a60,X0) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,definition,
( sQ76_spl
<=> c2_2(a60,a52) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( sQ76_spl
| ~ c2_2(a60,a52) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,definition,
( sQ77_spl
<=> c4_1(a60) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( ~ sQ77_spl
| c4_1(a60) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,plain,
( ~ sQ47_spl
| ~ sQ67_spl
| sQ77_spl
| ~ sQ76_spl
| ~ sQ35_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f454,f457,f297,f460,f463,f421,f345]) ).
fof(f467,definition,
( sQ78_spl
<=> c2_2(a65,a66) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( sQ78_spl
| ~ c2_2(a65,a66) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,definition,
( sQ79_spl
<=> c2_2(a65,a52) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( sQ79_spl
| ~ c2_2(a65,a52) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,definition,
( sQ80_spl
<=> c4_1(a65) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ80_spl
| c4_1(a65) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,plain,
( ~ sQ13_spl
| ~ sQ67_spl
| sQ80_spl
| sQ26_spl
| ~ sQ79_spl
| ~ sQ8_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f455,f467,f185,f470,f258,f473,f421,f206]) ).
fof(f477,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ67_spl
| c3_1(X0)
| c4_1(X0)
| c3_2(X0,a69)
| ~ c2_2(X0,a52)
| ~ ndr1_1(X0)
| ~ c2_2(X0,a69) ),
inference(duplicate_literals_removal,[status(thm)],[f456]) ).
fof(f478,plain,
( ~ sQ64_spl
| ~ sQ48_spl
| c3_1(a62)
| c4_1(a62)
| c1_2(a62,a69)
| c2_2(a62,a69) ),
inference(resolution,[status(thm)],[f350,f410]) ).
fof(f479,definition,
( sQ81_spl
<=> c2_2(a62,a69) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ81_spl
| c2_2(a62,a69) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,definition,
( sQ82_spl
<=> c1_2(a62,a69) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ82_spl
| c1_2(a62,a69) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,definition,
( sQ83_spl
<=> c4_1(a62) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ83_spl
| c4_1(a62) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,definition,
( sQ84_spl
<=> c3_1(a62) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( ~ sQ84_spl
| c3_1(a62) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,plain,
( ~ sQ64_spl
| ~ sQ48_spl
| sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f478,f479,f482,f485,f488,f349,f409]) ).
fof(f492,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ63_spl
| c1_2(a55,X0)
| c5_2(a55,X0)
| c4_1(a55)
| c1_2(a55,a52)
| c3_2(a55,X0)
| ~ ndr1_1(a55)
| ~ c2_2(a55,X0) ),
inference(resolution,[status(thm)],[f406,f448]) ).
fof(f493,plain,
( ~ sQ13_spl
| ~ sQ63_spl
| c4_1(a65)
| c1_2(a65,a52)
| c3_2(a65,a66)
| ~ ndr1_1(a65)
| ~ c2_2(a65,a66) ),
inference(resolution,[status(thm)],[f406,f207]) ).
fof(f494,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ63_spl
| c3_1(X0)
| c4_1(X0)
| c4_1(X0)
| c1_2(X0,a52)
| c3_2(X0,a69)
| ~ ndr1_1(X0)
| ~ c2_2(X0,a69) ),
inference(resolution,[status(thm)],[f406,f414]) ).
fof(f495,definition,
! [X0] :
( sQ85_spl
<=> ( c1_2(a55,X0)
| c5_2(a55,X0)
| c3_2(a55,X0)
| ~ c2_2(a55,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f496,plain,
! [X0] :
( ~ sQ85_spl
| c1_2(a55,X0)
| c5_2(a55,X0)
| c3_2(a55,X0)
| ~ c2_2(a55,X0) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,definition,
( sQ86_spl
<=> c1_2(a55,a52) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( ~ sQ86_spl
| c1_2(a55,a52) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,definition,
( sQ87_spl
<=> c4_1(a55) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( ~ sQ87_spl
| c4_1(a55) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,plain,
( ~ sQ73_spl
| ~ sQ63_spl
| sQ87_spl
| sQ86_spl
| ~ sQ37_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f492,f495,f305,f498,f501,f405,f447]) ).
fof(f505,definition,
( sQ88_spl
<=> c1_2(a65,a52) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( ~ sQ88_spl
| c1_2(a65,a52) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f507,plain,
( sQ88_spl
| ~ c1_2(a65,a52) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,plain,
( ~ sQ13_spl
| ~ sQ63_spl
| sQ80_spl
| sQ88_spl
| sQ26_spl
| ~ sQ8_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f493,f467,f185,f258,f505,f473,f405,f206]) ).
fof(f509,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ63_spl
| c3_1(X0)
| c4_1(X0)
| c1_2(X0,a52)
| c3_2(X0,a69)
| ~ ndr1_1(X0)
| ~ c2_2(X0,a69) ),
inference(duplicate_literals_removal,[status(thm)],[f494]) ).
fof(f510,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ8_spl
| c3_1(a65)
| c3_2(a65,X0)
| c4_2(a65,X0)
| c2_2(a65,X0)
| ~ c5_1(a65) ),
inference(resolution,[status(thm)],[f186,f399]) ).
fof(f511,definition,
( sQ89_spl
<=> c5_1(a65) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( sQ89_spl
| ~ c5_1(a65) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,definition,
! [X0] :
( sQ90_spl
<=> ( c3_2(a65,X0)
| c4_2(a65,X0)
| c2_2(a65,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f515,plain,
! [X0] :
( ~ sQ90_spl
| c3_2(a65,X0)
| c4_2(a65,X0)
| c2_2(a65,X0) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,definition,
( sQ91_spl
<=> c3_1(a65) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f518,plain,
( ~ sQ91_spl
| c3_1(a65) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,plain,
( ~ sQ61_spl
| ~ sQ8_spl
| sQ91_spl
| sQ90_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f510,f511,f514,f517,f185,f398]) ).
fof(f521,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ90_spl
| ~ c1_2(a65,X0)
| c4_2(a65,X0)
| c2_2(a65,X0) ),
inference(resolution,[status(thm)],[f515,f342]) ).
fof(f522,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ90_spl
| c4_1(a65)
| c3_2(a65,X0)
| ~ ndr1_1(a65)
| ~ c2_2(a65,X0)
| ~ c4_2(a65,X0)
| c4_2(a65,a52)
| c2_2(a65,a52) ),
inference(resolution,[status(thm)],[f515,f418]) ).
fof(f523,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ90_spl
| c3_1(a65)
| c5_1(a65)
| c4_2(a65,X0)
| ~ ndr1_1(a65)
| c4_2(a65,X0)
| c2_2(a65,X0) ),
inference(resolution,[status(thm)],[f515,f376]) ).
fof(f524,definition,
( sQ92_spl
<=> c4_2(a65,a52) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( ~ sQ92_spl
| c4_2(a65,a52) ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,definition,
! [X0] :
( sQ93_spl
<=> ( c3_2(a65,X0)
| ~ c2_2(a65,X0)
| ~ c4_2(a65,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f528,plain,
! [X0] :
( ~ sQ93_spl
| c3_2(a65,X0)
| ~ c2_2(a65,X0)
| ~ c4_2(a65,X0) ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f530,plain,
( ~ sQ66_spl
| ~ sQ90_spl
| sQ80_spl
| ~ sQ8_spl
| sQ93_spl
| sQ92_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f522,f470,f524,f527,f185,f473,f514,f417]) ).
fof(f531,definition,
! [X0] :
( sQ94_spl
<=> ( c4_2(a65,X0)
| c4_2(a65,X0)
| c2_2(a65,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f532,plain,
! [X0] :
( ~ sQ94_spl
| c4_2(a65,X0)
| c4_2(a65,X0)
| c2_2(a65,X0) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,plain,
( ~ sQ55_spl
| ~ sQ90_spl
| sQ91_spl
| sQ89_spl
| ~ sQ8_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f523,f531,f185,f511,f517,f514,f375]) ).
fof(f535,plain,
! [X0] :
( ~ sQ94_spl
| c4_2(a65,X0)
| c2_2(a65,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f532]) ).
fof(f536,plain,
( ~ sQ55_spl
| ~ sQ58_spl
| c3_1(a50)
| c5_1(a50)
| c4_2(a50,a51)
| ~ ndr1_1(a50) ),
inference(resolution,[status(thm)],[f387,f376]) ).
fof(f537,definition,
( sQ95_spl
<=> c5_1(a50) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( ~ sQ95_spl
| c5_1(a50) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,plain,
( ~ sQ55_spl
| ~ sQ58_spl
| sQ57_spl
| sQ95_spl
| sQ60_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f536,f378,f394,f537,f382,f386,f375]) ).
fof(f541,plain,
( ~ sQ65_spl
| ~ sQ52_spl
| c3_1(a68)
| c4_1(a68)
| c3_2(a68,a69)
| ~ c5_2(a68,a69) ),
inference(resolution,[status(thm)],[f365,f414]) ).
fof(f542,definition,
( sQ96_spl
<=> c5_2(a68,a69) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f544,plain,
( sQ96_spl
| ~ c5_2(a68,a69) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,definition,
( sQ97_spl
<=> c3_2(a68,a69) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ97_spl
| c3_2(a68,a69) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( ~ sQ65_spl
| ~ sQ52_spl
| sQ25_spl
| sQ72_spl
| sQ97_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f541,f542,f545,f442,f254,f364,f413]) ).
fof(f549,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ16_spl
| c3_1(a53)
| c3_2(a53,X0)
| c4_2(a53,X0)
| c2_2(a53,X0)
| ~ c5_1(a53) ),
inference(resolution,[status(thm)],[f220,f399]) ).
fof(f550,definition,
! [X0] :
( sQ98_spl
<=> ( c3_2(a53,X0)
| c4_2(a53,X0)
| c2_2(a53,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f551,plain,
! [X0] :
( ~ sQ98_spl
| c3_2(a53,X0)
| c4_2(a53,X0)
| c2_2(a53,X0) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,definition,
( sQ99_spl
<=> c3_1(a53) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f554,plain,
( ~ sQ99_spl
| c3_1(a53) ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f556,plain,
( ~ sQ61_spl
| ~ sQ16_spl
| sQ99_spl
| sQ98_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f549,f226,f550,f553,f219,f398]) ).
fof(f557,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ98_spl
| c3_1(a53)
| c5_1(a53)
| c4_2(a53,X0)
| ~ ndr1_1(a53)
| c4_2(a53,X0)
| c2_2(a53,X0) ),
inference(resolution,[status(thm)],[f551,f376]) ).
fof(f558,definition,
! [X0] :
( sQ100_spl
<=> ( c4_2(a53,X0)
| c4_2(a53,X0)
| c2_2(a53,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f559,plain,
! [X0] :
( ~ sQ100_spl
| c4_2(a53,X0)
| c4_2(a53,X0)
| c2_2(a53,X0) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( ~ sQ55_spl
| ~ sQ98_spl
| sQ99_spl
| sQ18_spl
| ~ sQ16_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f557,f558,f219,f226,f553,f550,f375]) ).
fof(f562,plain,
! [X0] :
( ~ sQ100_spl
| c4_2(a53,X0)
| c2_2(a53,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f559]) ).
fof(f563,plain,
( ~ sQ55_spl
| ~ sQ29_spl
| c3_1(a53)
| c5_1(a53)
| c4_2(a53,a54)
| ~ ndr1_1(a53) ),
inference(resolution,[status(thm)],[f273,f376]) ).
fof(f564,definition,
( sQ101_spl
<=> c4_2(a53,a54) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ101_spl
| c4_2(a53,a54) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,plain,
( ~ sQ55_spl
| ~ sQ29_spl
| sQ99_spl
| sQ18_spl
| sQ101_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f563,f219,f564,f226,f553,f272,f375]) ).
fof(f568,plain,
( ~ sQ55_spl
| ~ sQ21_spl
| c3_1(a62)
| c5_1(a62)
| c4_2(a62,a63)
| ~ ndr1_1(a62) ),
inference(resolution,[status(thm)],[f239,f376]) ).
fof(f569,definition,
( sQ102_spl
<=> c4_2(a62,a63) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f570,plain,
( ~ sQ102_spl
| c4_2(a62,a63) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,definition,
( sQ103_spl
<=> c5_1(a62) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f573,plain,
( ~ sQ103_spl
| c5_1(a62) ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,plain,
( ~ sQ55_spl
| ~ sQ21_spl
| sQ84_spl
| sQ103_spl
| sQ102_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f568,f190,f569,f572,f488,f238,f375]) ).
fof(f576,plain,
( ~ sQ68_spl
| ~ sQ82_spl
| c3_1(a62)
| c4_1(a62) ),
inference(resolution,[status(thm)],[f483,f426]) ).
fof(f577,plain,
( ~ sQ68_spl
| ~ sQ82_spl
| sQ84_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f576,f485,f488,f482,f425]) ).
fof(f578,plain,
( ~ sQ92_spl
| ~ sQ93_spl
| c3_2(a65,a52)
| ~ c2_2(a65,a52) ),
inference(resolution,[status(thm)],[f528,f525]) ).
fof(f579,plain,
( ~ sQ13_spl
| ~ sQ93_spl
| c3_2(a65,a66)
| ~ c2_2(a65,a66) ),
inference(resolution,[status(thm)],[f528,f207]) ).
fof(f581,definition,
( sQ104_spl
<=> c3_2(a65,a52) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( ~ sQ104_spl
| c3_2(a65,a52) ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( ~ sQ92_spl
| ~ sQ93_spl
| sQ104_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f578,f470,f581,f527,f524]) ).
fof(f585,plain,
( ~ sQ13_spl
| ~ sQ93_spl
| sQ26_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f579,f467,f258,f527,f206]) ).
fof(f586,plain,
( ~ sQ46_spl
| ~ sQ104_spl
| ~ c1_2(a65,a52) ),
inference(resolution,[status(thm)],[f582,f342]) ).
fof(f587,plain,
( ~ sQ46_spl
| ~ sQ104_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f586,f506]) ).
fof(f588,plain,
( ~ sQ46_spl
| ~ sQ104_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f587]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ1_spl
| sQ2_spl
| ~ sQ3_spl
| sQ5_spl
| sQ6_spl
| sQ7_spl
| sQ8_spl
| ~ sQ9_spl
| sQ10_spl
| sQ12_spl
| sQ13_spl
| sQ14_spl
| sQ15_spl
| ~ sQ16_spl
| sQ17_spl
| sQ18_spl
| sQ19_spl
| ~ sQ20_spl
| sQ22_spl
| sQ23_spl
| ~ sQ24_spl
| sQ25_spl
| ~ sQ26_spl
| sQ27_spl
| ~ sQ28_spl
| sQ30_spl
| ~ sQ31_spl
| ~ sQ32_spl
| ~ sQ33_spl
| ~ sQ34_spl
| sQ36_spl
| ~ sQ37_spl
| sQ38_spl
| ~ sQ39_spl
| sQ40_spl
| sQ41_spl
| ~ sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| sQ46_spl
| sQ49_spl
| sQ50_spl
| sQ57_spl
| ~ sQ59_spl
| sQ61_spl
| sQ69_spl
| sQ70_spl
| sQ71_spl
| sQ72_spl
| sQ74_spl
| sQ75_spl
| ~ sQ76_spl
| sQ77_spl
| ~ sQ78_spl
| ~ sQ79_spl
| sQ80_spl
| sQ81_spl
| sQ83_spl
| sQ84_spl
| sQ85_spl
| sQ86_spl
| sQ87_spl
| ~ sQ88_spl
| sQ91_spl
| ~ sQ93_spl
| sQ94_spl
| sQ95_spl
| ~ sQ96_spl
| sQ97_spl
| sQ99_spl
| sQ100_spl
| sQ101_spl
| sQ102_spl
| sQ103_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN517-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:02:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.39 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.14/0.39 % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.045329 seconds
% 0.14/0.41 % CPU time: 0.121192 seconds
% 0.14/0.41 % Total memory used: 15.989 MB
% 0.14/0.41 % Net memory used: 15.931 MB
%------------------------------------------------------------------------------